id	sid	tid	token	lemma	pos
fsr-3727	1	1	pii	pii	PROPN
fsr-3727	1	2	:	:	PUNCT
fsr-3727	1	3	1057	1057	NUM
fsr-3727	1	4	-	-	PUNCT
fsr-3727	1	5	0810(94)90017	0810(94)90017	ADP
fsr-3727	1	6	-	-	PUNCT
fsr-3727	1	7	5	5	NUM
fsr-3727	1	8	financial	financial	ADJ
fsr-3727	1	9	services	service	NOUN
fsr-3727	1	10	review	review	NOUN
fsr-3727	1	11	,	,	PUNCT
fsr-3727	1	12	3(2	3(2	NUM
fsr-3727	1	13	):	):	PUNCT
fsr-3727	1	14	l-126	l-126	PROPN
fsr-3727	2	1	copyright	copyright	NOUN
fsr-3727	2	2	q	q	PROPN
fsr-3727	2	3	1994	1994	NUM
fsr-3727	2	4	by	by	ADP
fsr-3727	2	5	jai	jai	PROPN
fsr-3727	2	6	press	press	PROPN
fsr-3727	2	7	inc	inc	PROPN
fsr-3727	2	8	.	.	PROPN
fsr-3727	2	9	issn	issn	PROPN
fsr-3727	2	10	:	:	PUNCT
fsr-3727	2	11	1057	1057	NUM
fsr-3727	2	12	-	-	SYM
fsr-3727	2	13	0810	0810	NUM
fsr-3727	2	14	all	all	DET
fsr-3727	2	15	rights	right	NOUN
fsr-3727	2	16	of	of	ADP
fsr-3727	2	17	reproduction	reproduction	NOUN
fsr-3727	2	18	in	in	ADP
fsr-3727	2	19	any	any	DET
fsr-3727	2	20	form	form	NOUN
fsr-3727	2	21	reserved	reserve	VERB
fsr-3727	2	22	.	.	PUNCT
fsr-3727	3	1	asset	asset	NOUN
fsr-3727	3	2	allocation	allocation	NOUN
fsr-3727	3	3	,	,	PUNCT
fsr-3727	3	4	life	life	NOUN
fsr-3727	3	5	expectancy	expectancy	NOUN
fsr-3727	3	6	and	and	CCONJ
fsr-3727	3	7	shortfall	shortfall	NOUN
fsr-3727	3	8	kwok	kwok	PROPN
fsr-3727	3	9	ho	ho	PROPN
fsr-3727	3	10	moshe	moshe	PROPN
fsr-3727	3	11	arye	arye	PROPN
fsr-3727	3	12	milevsky	milevsky	PROPN
fsr-3727	3	13	chris	chris	PROPN
fsr-3727	3	14	robinson	robinson	PROPN
fsr-3727	3	15	an	an	DET
fsr-3727	3	16	analytical	analytical	ADJ
fsr-3727	3	17	model	model	NOUN
fsr-3727	3	18	provides	provide	VERB
fsr-3727	3	19	a	a	DET
fsr-3727	3	20	solution	solution	NOUN
fsr-3727	3	21	to	to	ADP
fsr-3727	3	22	the	the	DET
fsr-3727	3	23	retirement	retirement	NOUN
fsr-3727	3	24	problem	problem	NOUN
fsr-3727	3	25	of	of	ADP
fsr-3727	3	26	how	how	SCONJ
fsr-3727	3	27	to	to	PART
fsr-3727	3	28	allocate	allocate	VERB
fsr-3727	3	29	investment	investment	NOUN
fsr-3727	3	30	between	between	ADP
fsr-3727	3	31	risky	risky	ADJ
fsr-3727	3	32	and	and	CCONJ
fsr-3727	3	33	risk	risk	NOUN
fsr-3727	3	34	-	-	PUNCT
fsr-3727	3	35	free	free	ADJ
fsr-3727	3	36	assets	asset	NOUN
fsr-3727	3	37	.	.	PUNCT
fsr-3727	4	1	the	the	DET
fsr-3727	4	2	objective	objective	NOUN
fsr-3727	4	3	is	be	AUX
fsr-3727	4	4	to	to	PART
fsr-3727	4	5	minimize	minimize	VERB
fsr-3727	4	6	the	the	DET
fsr-3727	4	7	probability	probability	NOUN
fsr-3727	4	8	that	that	SCONJ
fsr-3727	4	9	the	the	DET
fsr-3727	4	10	retiree	retiree	NOUN
fsr-3727	4	11	will	will	AUX
fsr-3727	4	12	be	be	AUX
fsr-3727	4	13	unable	unable	ADJ
fsr-3727	4	14	to	to	PART
fsr-3727	4	15	consume	consume	VERB
fsr-3727	4	16	at	at	ADP
fsr-3727	4	17	the	the	DET
fsr-3727	4	18	desired	desire	VERB
fsr-3727	4	19	level	level	NOUN
fsr-3727	4	20	over	over	ADP
fsr-3727	4	21	his	his	PRON
fsr-3727	4	22	/	/	SYM
fsr-3727	4	23	her	her	PRON
fsr-3727	4	24	expected	expect	VERB
fsr-3727	4	25	lifetime	lifetime	NOUN
fsr-3727	4	26	.	.	PUNCT
fsr-3727	5	1	the	the	DET
fsr-3727	5	2	procedure	procedure	NOUN
fsr-3727	5	3	incorporates	incorporate	VERB
fsr-3727	5	4	mortality	mortality	NOUN
fsr-3727	5	5	tables	table	NOUN
fsr-3727	5	6	,	,	PUNCT
fsr-3727	5	7	real	real	ADJ
fsr-3727	5	8	or	or	CCONJ
fsr-3727	5	9	nominal	nominal	ADJ
fsr-3727	5	10	rates	rate	NOUN
fsr-3727	5	11	of	of	ADP
fsr-3727	5	12	return	return	NOUN
fsr-3727	5	13	,	,	PUNCT
fsr-3727	5	14	initial	initial	ADJ
fsr-3727	5	15	wealth	wealth	NOUN
fsr-3727	5	16	,	,	PUNCT
fsr-3727	5	17	and	and	CCONJ
fsr-3727	5	18	desired	desire	VERB
fsr-3727	5	19	consumption	consumption	NOUN
fsr-3727	5	20	levels	level	NOUN
fsr-3727	5	21	.	.	PUNCT
fsr-3727	6	1	numerical	numerical	ADJ
fsr-3727	6	2	examples	example	NOUN
fsr-3727	6	3	using	use	VERB
fsr-3727	6	4	standard	standard	ADJ
fsr-3727	6	5	mortality	mortality	NOUN
fsr-3727	6	6	tables	table	NOUN
fsr-3727	6	7	,	,	PUNCT
fsr-3727	6	8	historic	historic	ADJ
fsr-3727	6	9	rates	rate	NOUN
fsr-3727	6	10	of	of	ADP
fsr-3727	6	11	return	return	NOUN
fsr-3727	6	12	on	on	ADP
fsr-3727	6	13	canaa’ian	canaa’ian	PROPN
fsr-3727	6	14	equity	equity	NOUN
fsr-3727	6	15	and	and	CCONJ
fsr-3727	6	16	treasury	treasury	NOUN
fsr-3727	6	17	bills	bill	NOUN
fsr-3727	6	18	,	,	PUNCT
fsr-3727	6	19	and	and	CCONJ
fsr-3727	6	20	a	a	DET
fsr-3727	6	21	range	range	NOUN
fsr-3727	6	22	of	of	ADP
fsr-3727	6	23	realistic	realistic	ADJ
fsr-3727	6	24	values	value	NOUN
fsr-3727	6	25	for	for	ADP
fsr-3727	6	26	wealth	wealth	NOUN
fsr-3727	6	27	and	and	CCONJ
fsr-3727	6	28	consumption	consumption	NOUN
fsr-3727	6	29	show	show	VERB
fsr-3727	6	30	that	that	SCONJ
fsr-3727	6	31	equity	equity	NOUN
fsr-3727	6	32	should	should	AUX
fsr-3727	6	33	play	play	VERB
fsr-3727	6	34	a	a	DET
fsr-3727	6	35	much	much	ADV
fsr-3727	6	36	bigger	big	ADJ
fsr-3727	6	37	role	role	NOUN
fsr-3727	6	38	in	in	ADP
fsr-3727	6	39	retirement	retirement	NOUN
fsr-3727	6	40	portfolios	portfolio	NOUN
fsr-3727	6	41	than	than	SCONJ
fsr-3727	6	42	other	other	ADJ
fsr-3727	6	43	wn’ters	wn’ter	NOUN
fsr-3727	6	44	advise	advise	VERB
fsr-3727	6	45	.	.	PUNCT
fsr-3727	7	1	i.	i.	PROPN
fsr-3727	7	2	introduction	introduction	NOUN
fsr-3727	7	3	how	how	SCONJ
fsr-3727	7	4	does	do	AUX
fsr-3727	7	5	a	a	DET
fsr-3727	7	6	person	person	NOUN
fsr-3727	7	7	who	who	PRON
fsr-3727	7	8	is	be	AUX
fsr-3727	7	9	retired	retire	VERB
fsr-3727	7	10	invest	invest	VERB
fsr-3727	7	11	his	his	PRON
fsr-3727	7	12	or	or	CCONJ
fsr-3727	7	13	her	her	PRON
fsr-3727	7	14	wealth	wealth	NOUN
fsr-3727	7	15	to	to	PART
fsr-3727	7	16	maximize	maximize	VERB
fsr-3727	7	17	the	the	DET
fsr-3727	7	18	probability	probability	NOUN
fsr-3727	7	19	of	of	ADP
fsr-3727	7	20	a	a	DET
fsr-3727	7	21	secure	secure	ADJ
fsr-3727	7	22	and	and	CCONJ
fsr-3727	7	23	sufficient	sufficient	ADJ
fsr-3727	7	24	income	income	NOUN
fsr-3727	7	25	?	?	PUNCT
fsr-3727	8	1	this	this	DET
fsr-3727	8	2	asset	asset	NOUN
fsr-3727	8	3	allocation	allocation	NOUN
fsr-3727	8	4	decision	decision	NOUN
fsr-3727	8	5	is	be	AUX
fsr-3727	8	6	very	very	ADV
fsr-3727	8	7	critical	critical	ADJ
fsr-3727	8	8	,	,	PUNCT
fsr-3727	8	9	because	because	SCONJ
fsr-3727	8	10	the	the	DET
fsr-3727	8	11	person	person	NOUN
fsr-3727	8	12	no	no	ADV
fsr-3727	8	13	longer	long	ADV
fsr-3727	8	14	has	have	VERB
fsr-3727	8	15	the	the	DET
fsr-3727	8	16	opportunity	opportunity	NOUN
fsr-3727	8	17	or	or	CCONJ
fsr-3727	8	18	time	time	NOUN
fsr-3727	8	19	to	to	PART
fsr-3727	8	20	recover	recover	VERB
fsr-3727	8	21	from	from	ADP
fsr-3727	8	22	mistakes	mistake	NOUN
fsr-3727	8	23	with	with	ADP
fsr-3727	8	24	increased	increase	VERB
fsr-3727	8	25	earnings	earning	NOUN
fsr-3727	8	26	from	from	ADP
fsr-3727	8	27	work	work	NOUN
fsr-3727	8	28	.	.	PUNCT
fsr-3727	9	1	as	as	SCONJ
fsr-3727	9	2	an	an	DET
fsr-3727	9	3	increasing	increase	VERB
fsr-3727	9	4	proportion	proportion	NOUN
fsr-3727	9	5	of	of	ADP
fsr-3727	9	6	the	the	DET
fsr-3727	9	7	population	population	NOUN
fsr-3727	9	8	of	of	ADP
fsr-3727	9	9	the	the	DET
fsr-3727	9	10	developed	develop	VERB
fsr-3727	9	11	nations	nation	NOUN
fsr-3727	9	12	enters	enter	VERB
fsr-3727	9	13	retirement	retirement	NOUN
fsr-3727	9	14	years	year	NOUN
fsr-3727	9	15	,	,	PUNCT
fsr-3727	9	16	this	this	DET
fsr-3727	9	17	personal	personal	ADJ
fsr-3727	9	18	finance	finance	NOUN
fsr-3727	9	19	problem	problem	NOUN
fsr-3727	9	20	is	be	AUX
fsr-3727	9	21	becoming	become	VERB
fsr-3727	9	22	of	of	ADP
fsr-3727	9	23	particular	particular	ADJ
fsr-3727	9	24	interest	interest	NOUN
fsr-3727	9	25	.	.	PUNCT
fsr-3727	10	1	the	the	DET
fsr-3727	10	2	retiree	retiree	NOUN
fsr-3727	10	3	faces	face	VERB
fsr-3727	10	4	several	several	ADJ
fsr-3727	10	5	issues	issue	NOUN
fsr-3727	10	6	in	in	ADP
fsr-3727	10	7	making	make	VERB
fsr-3727	10	8	the	the	DET
fsr-3727	10	9	investment	investment	NOUN
fsr-3727	10	10	decision	decision	NOUN
fsr-3727	10	11	:	:	PUNCT
fsr-3727	10	12	1	1	X
fsr-3727	10	13	.	.	X
fsr-3727	10	14	how	how	SCONJ
fsr-3727	10	15	much	much	ADJ
fsr-3727	10	16	annual	annual	ADJ
fsr-3727	10	17	income	income	NOUN
fsr-3727	10	18	does	do	AUX
fsr-3727	10	19	one	one	NUM
fsr-3727	10	20	need	need	VERB
fsr-3727	10	21	to	to	PART
fsr-3727	10	22	provide	provide	VERB
fsr-3727	10	23	the	the	DET
fsr-3727	10	24	desired	desire	VERB
fsr-3727	10	25	standard	standard	NOUN
fsr-3727	10	26	of	of	ADP
fsr-3727	10	27	living	living	NOUN
fsr-3727	10	28	?	?	PUNCT
fsr-3727	11	1	2	2	X
fsr-3727	11	2	.	.	X
fsr-3727	11	3	how	how	SCONJ
fsr-3727	11	4	long	long	ADV
fsr-3727	11	5	does	do	AUX
fsr-3727	11	6	the	the	DET
fsr-3727	11	7	money	money	NOUN
fsr-3727	11	8	have	have	VERB
fsr-3727	11	9	to	to	PART
fsr-3727	11	10	last	last	VERB
fsr-3727	11	11	?	?	PUNCT
fsr-3727	12	1	another	another	DET
fsr-3727	12	2	way	way	NOUN
fsr-3727	12	3	to	to	PART
fsr-3727	12	4	put	put	VERB
fsr-3727	12	5	this	this	PRON
fsr-3727	12	6	is	be	AUX
fsr-3727	12	7	to	to	PART
fsr-3727	12	8	ask	ask	VERB
fsr-3727	12	9	how	how	SCONJ
fsr-3727	12	10	the	the	DET
fsr-3727	12	11	retiree	retiree	NOUN
fsr-3727	12	12	balances	balance	VERB
fsr-3727	12	13	lower	low	ADJ
fsr-3727	12	14	consumption	consumption	NOUN
fsr-3727	12	15	against	against	ADP
fsr-3727	12	16	running	run	VERB
fsr-3727	12	17	out	out	ADP
fsr-3727	12	18	of	of	ADP
fsr-3727	12	19	money	money	NOUN
fsr-3727	12	20	before	before	ADP
fsr-3727	12	21	death	death	NOUN
fsr-3727	12	22	.	.	PUNCT
fsr-3727	13	1	3	3	X
fsr-3727	13	2	.	.	X
fsr-3727	13	3	how	how	SCONJ
fsr-3727	13	4	does	do	AUX
fsr-3727	13	5	the	the	DET
fsr-3727	13	6	decision	decision	NOUN
fsr-3727	13	7	incorporate	incorporate	VERB
fsr-3727	13	8	inflation	inflation	NOUN
fsr-3727	13	9	?	?	PUNCT
fsr-3727	14	1	4	4	X
fsr-3727	14	2	.	.	X
fsr-3727	14	3	how	how	SCONJ
fsr-3727	14	4	should	should	AUX
fsr-3727	14	5	the	the	DET
fsr-3727	14	6	investment	investment	NOUN
fsr-3727	14	7	be	be	AUX
fsr-3727	14	8	allocated	allocate	VERB
fsr-3727	14	9	among	among	ADP
fsr-3727	14	10	the	the	DET
fsr-3727	14	11	various	various	ADJ
fsr-3727	14	12	classes	class	NOUN
fsr-3727	14	13	available	available	ADJ
fsr-3727	14	14	shares	share	NOUN
fsr-3727	14	15	,	,	PUNCT
fsr-3727	14	16	bonds	bond	NOUN
fsr-3727	14	17	,	,	PUNCT
fsr-3727	14	18	etc	etc	X
fsr-3727	14	19	.	.	PUNCT
fsr-3727	14	20	’	'	PUNCT
fsr-3727	15	1	kwok	kwok	PROPN
fsr-3727	15	2	ho	ho	PROPN
fsr-3727	15	3	,	,	PUNCT
fsr-3727	15	4	moshe	moshe	PROPN
fsr-3727	15	5	arye	arye	PROPN
fsr-3727	15	6	milevsky	milevsky	PROPN
fsr-3727	15	7	,	,	PUNCT
fsr-3727	15	8	and	and	CCONJ
fsr-3727	15	9	chris	chris	PROPN
fsr-3727	15	10	robinson	robinson	PROPN
fsr-3727	15	11	,	,	PUNCT
fsr-3727	15	12	faculty	faculty	NOUN
fsr-3727	15	13	of	of	ADP
fsr-3727	15	14	administrative	administrative	ADJ
fsr-3727	15	15	studies	study	NOUN
fsr-3727	15	16	,	,	PUNCT
fsr-3727	15	17	atkinson	atkinson	PROPN
fsr-3727	15	18	college	college	PROPN
fsr-3727	15	19	,	,	PUNCT
fsr-3727	15	20	york	york	PROPN
fsr-3727	15	21	university	university	PROPN
fsr-3727	15	22	,	,	PUNCT
fsr-3727	15	23	north	north	PROPN
fsr-3727	15	24	york	york	PROPN
fsr-3727	15	25	,	,	PUNCT
fsr-3727	15	26	canada	canada	PROPN
fsr-3727	15	27	m3j	m3j	PROPN
fsr-3727	15	28	lp3	lp3	PROPN
fsr-3727	15	29	.	.	PUNCT
fsr-3727	16	1	110	110	NUM
fsr-3727	16	2	financial	financial	ADJ
fsr-3727	16	3	services	service	NOUN
fsr-3727	16	4	review	review	NOUN
fsr-3727	16	5	,	,	PUNCT
fsr-3727	16	6	3(z	3(z	NUM
fsr-3727	16	7	)	)	PUNCT
fsr-3727	16	8	1994	1994	NUM
fsr-3727	16	9	basic	basic	ADJ
fsr-3727	16	10	financial	financial	ADJ
fsr-3727	16	11	planning	planning	NOUN
fsr-3727	16	12	answers	answer	VERB
fsr-3727	16	13	the	the	DET
fsr-3727	16	14	first	first	ADJ
fsr-3727	16	15	question	question	NOUN
fsr-3727	16	16	and	and	CCONJ
fsr-3727	16	17	we	we	PRON
fsr-3727	16	18	assume	assume	VERB
fsr-3727	16	19	the	the	DET
fsr-3727	16	20	income	income	NOUN
fsr-3727	16	21	figure	figure	NOUN
fsr-3727	16	22	required	require	VERB
fsr-3727	16	23	is	be	AUX
fsr-3727	16	24	known	know	VERB
fsr-3727	16	25	.	.	PUNCT
fsr-3727	17	1	the	the	DET
fsr-3727	17	2	third	third	ADJ
fsr-3727	17	3	question	question	NOUN
fsr-3727	17	4	involves	involve	VERB
fsr-3727	17	5	using	use	VERB
fsr-3727	17	6	either	either	CCONJ
fsr-3727	17	7	real	real	ADJ
fsr-3727	17	8	returns	return	NOUN
fsr-3727	17	9	and	and	CCONJ
fsr-3727	17	10	constant	constant	ADJ
fsr-3727	17	11	dollars	dollar	NOUN
fsr-3727	17	12	or	or	CCONJ
fsr-3727	17	13	nominal	nominal	ADJ
fsr-3727	17	14	returns	return	NOUN
fsr-3727	17	15	and	and	CCONJ
fsr-3727	17	16	nominal	nominal	ADJ
fsr-3727	17	17	dollars	dollar	NOUN
fsr-3727	17	18	throughout	throughout	ADP
fsr-3727	17	19	the	the	DET
fsr-3727	17	20	analysis	analysis	NOUN
fsr-3727	17	21	.	.	PUNCT
fsr-3727	18	1	the	the	DET
fsr-3727	18	2	approach	approach	NOUN
fsr-3727	18	3	we	we	PRON
fsr-3727	18	4	use	use	VERB
fsr-3727	18	5	in	in	ADP
fsr-3727	18	6	this	this	DET
fsr-3727	18	7	paper	paper	NOUN
fsr-3727	18	8	works	work	VERB
fsr-3727	18	9	equally	equally	ADV
fsr-3727	18	10	well	well	ADV
fsr-3727	18	11	with	with	ADP
fsr-3727	18	12	either	either	DET
fsr-3727	18	13	one	one	NUM
fsr-3727	18	14	,	,	PUNCT
fsr-3727	18	15	although	although	SCONJ
fsr-3727	18	16	for	for	ADP
fsr-3727	18	17	convenience	convenience	NOUN
fsr-3727	18	18	we	we	PRON
fsr-3727	18	19	use	use	VERB
fsr-3727	18	20	real	real	ADJ
fsr-3727	18	21	returns	return	NOUN
fsr-3727	18	22	and	and	CCONJ
fsr-3727	18	23	constant	constant	ADJ
fsr-3727	18	24	dollars	dollar	NOUN
fsr-3727	18	25	in	in	ADP
fsr-3727	18	26	the	the	DET
fsr-3727	18	27	numerical	numerical	ADJ
fsr-3727	18	28	examples	example	NOUN
fsr-3727	18	29	.	.	PUNCT
fsr-3727	19	1	*	*	PUNCT
fsr-3727	19	2	this	this	DET
fsr-3727	19	3	paper	paper	NOUN
fsr-3727	19	4	provides	provide	VERB
fsr-3727	19	5	an	an	DET
fsr-3727	19	6	analytic	analytic	ADJ
fsr-3727	19	7	solution	solution	NOUN
fsr-3727	19	8	to	to	ADP
fsr-3727	19	9	questions	question	NOUN
fsr-3727	19	10	two	two	NUM
fsr-3727	19	11	and	and	CCONJ
fsr-3727	19	12	four	four	NUM
fsr-3727	19	13	,	,	PUNCT
fsr-3727	19	14	under	under	ADP
fsr-3727	19	15	reasonable	reasonable	ADJ
fsr-3727	19	16	assumptions	assumption	NOUN
fsr-3727	19	17	.	.	PUNCT
fsr-3727	20	1	we	we	PRON
fsr-3727	20	2	incorporate	incorporate	VERB
fsr-3727	20	3	standard	standard	ADJ
fsr-3727	20	4	mortality	mortality	NOUN
fsr-3727	20	5	tables	table	NOUN
fsr-3727	20	6	into	into	ADP
fsr-3727	20	7	the	the	DET
fsr-3727	20	8	decision	decision	NOUN
fsr-3727	20	9	to	to	PART
fsr-3727	20	10	arrive	arrive	VERB
fsr-3727	20	11	at	at	ADP
fsr-3727	20	12	an	an	DET
fsr-3727	20	13	expected	expect	VERB
fsr-3727	20	14	rate	rate	NOUN
fsr-3727	20	15	of	of	ADP
fsr-3727	20	16	return	return	NOUN
fsr-3727	20	17	needed	need	VERB
fsr-3727	20	18	to	to	PART
fsr-3727	20	19	finance	finance	VERB
fsr-3727	20	20	future	future	ADJ
fsr-3727	20	21	consumption	consumption	NOUN
fsr-3727	20	22	,	,	PUNCT
fsr-3727	20	23	with	with	ADP
fsr-3727	20	24	each	each	DET
fsr-3727	20	25	year	year	NOUN
fsr-3727	20	26	’s	’s	PART
fsr-3727	20	27	consumption	consumption	NOUN
fsr-3727	20	28	weighted	weight	VERB
fsr-3727	20	29	by	by	ADP
fsr-3727	20	30	the	the	DET
fsr-3727	20	31	probability	probability	NOUN
fsr-3727	20	32	of	of	ADP
fsr-3727	20	33	survival	survival	NOUN
fsr-3727	20	34	,	,	PUNCT
fsr-3727	20	35	and	and	CCONJ
fsr-3727	20	36	given	give	VERB
fsr-3727	20	37	the	the	DET
fsr-3727	20	38	initial	initial	ADJ
fsr-3727	20	39	wealth	wealth	NOUN
fsr-3727	20	40	available	available	ADJ
fsr-3727	20	41	to	to	PART
fsr-3727	20	42	generate	generate	VERB
fsr-3727	20	43	the	the	DET
fsr-3727	20	44	income	income	NOUN
fsr-3727	20	45	.	.	PUNCT
fsr-3727	21	1	the	the	DET
fsr-3727	21	2	approach	approach	NOUN
fsr-3727	21	3	is	be	AUX
fsr-3727	21	4	perfectly	perfectly	ADV
fsr-3727	21	5	generalizable	generalizable	ADJ
fsr-3727	21	6	to	to	ADP
fsr-3727	21	7	any	any	DET
fsr-3727	21	8	mortality	mortality	NOUN
fsr-3727	21	9	schedule	schedule	NOUN
fsr-3727	21	10	or	or	CCONJ
fsr-3727	21	11	to	to	ADP
fsr-3727	21	12	any	any	DET
fsr-3727	21	13	individual	individual	NOUN
fsr-3727	21	14	’s	’s	PART
fsr-3727	21	15	preferred	preferred	ADJ
fsr-3727	21	16	risk	risk	NOUN
fsr-3727	21	17	schedule	schedule	NOUN
fsr-3727	21	18	.	.	PUNCT
fsr-3727	22	1	for	for	ADP
fsr-3727	22	2	example	example	NOUN
fsr-3727	22	3	,	,	PUNCT
fsr-3727	22	4	an	an	DET
fsr-3727	22	5	individual	individual	NOUN
fsr-3727	22	6	may	may	AUX
fsr-3727	22	7	decide	decide	VERB
fsr-3727	22	8	that	that	SCONJ
fsr-3727	22	9	he	he	PRON
fsr-3727	22	10	or	or	CCONJ
fsr-3727	22	11	she	she	PRON
fsr-3727	22	12	wants	want	VERB
fsr-3727	22	13	to	to	PART
fsr-3727	22	14	be	be	AUX
fsr-3727	22	15	sure	sure	ADJ
fsr-3727	22	16	of	of	ADP
fsr-3727	22	17	consuming	consume	VERB
fsr-3727	22	18	until	until	ADP
fsr-3727	22	19	age	age	NOUN
fsr-3727	22	20	90	90	NUM
fsr-3727	22	21	,	,	PUNCT
fsr-3727	22	22	and	and	CCONJ
fsr-3727	22	23	weight	weight	NOUN
fsr-3727	22	24	each	each	DET
fsr-3727	22	25	year	year	NOUN
fsr-3727	22	26	at	at	ADP
fsr-3727	22	27	100	100	NUM
fsr-3727	22	28	percent.3	percent.3	PROPN
fsr-3727	22	29	malkiel(l990	malkiel(l990	NOUN
fsr-3727	22	30	)	)	PUNCT
fsr-3727	22	31	in	in	ADP
fsr-3727	22	32	his	his	PRON
fsr-3727	22	33	chapter	chapter	NOUN
fsr-3727	22	34	on	on	ADP
fsr-3727	22	35	the	the	DET
fsr-3727	22	36	life	life	NOUN
fsr-3727	22	37	cycle	cycle	NOUN
fsr-3727	22	38	guide	guide	NOUN
fsr-3727	22	39	to	to	ADP
fsr-3727	22	40	investing	investing	NOUN
fsr-3727	22	41	provides	provide	VERB
fsr-3727	22	42	an	an	DET
fsr-3727	22	43	explicit	explicit	ADJ
fsr-3727	22	44	answer	answer	NOUN
fsr-3727	22	45	to	to	ADP
fsr-3727	22	46	the	the	DET
fsr-3727	22	47	allocation	allocation	NOUN
fsr-3727	22	48	question	question	NOUN
fsr-3727	22	49	without	without	ADP
fsr-3727	22	50	the	the	DET
fsr-3727	22	51	same	same	ADJ
fsr-3727	22	52	analytic	analytic	ADJ
fsr-3727	22	53	process	process	NOUN
fsr-3727	22	54	:	:	PUNCT
fsr-3727	22	55	as	as	SCONJ
fsr-3727	22	56	investors	investor	NOUN
fsr-3727	22	57	age	age	VERB
fsr-3727	22	58	they	they	PRON
fsr-3727	22	59	should	should	AUX
fsr-3727	22	60	start	start	VERB
fsr-3727	22	61	cutting	cut	VERB
fsr-3727	22	62	back	back	ADP
fsr-3727	22	63	on	on	ADP
fsr-3727	22	64	the	the	DET
fsr-3727	22	65	riskier	risky	ADJ
fsr-3727	22	66	investments	investment	NOUN
fsr-3727	22	67	and	and	CCONJ
fsr-3727	22	68	start	start	VERB
fsr-3727	22	69	increasing	increase	VERB
fsr-3727	22	70	the	the	DET
fsr-3727	22	71	proportion	proportion	NOUN
fsr-3727	22	72	of	of	ADP
fsr-3727	22	73	the	the	DET
fsr-3727	22	74	portfolio	portfolio	NOUN
fsr-3727	22	75	committed	commit	VERB
fsr-3727	22	76	to	to	ADP
fsr-3727	22	77	bonds	bond	NOUN
fsr-3727	22	78	.	.	PUNCT
fsr-3727	23	1	by	by	ADP
fsr-3727	23	2	the	the	DET
fsr-3727	23	3	age	age	NOUN
fsr-3727	23	4	of	of	ADP
fsr-3727	23	5	fifty	fifty	NUM
fsr-3727	23	6	-	-	PUNCT
fsr-3727	23	7	five	five	NUM
fsr-3727	23	8	,	,	PUNCT
fsr-3727	23	9	investors	investor	NOUN
fsr-3727	23	10	should	should	AUX
fsr-3727	23	11	start	start	VERB
fsr-3727	23	12	thinking	think	VERB
fsr-3727	23	13	about	about	ADP
fsr-3727	23	14	the	the	DET
fsr-3727	23	15	transition	transition	NOUN
fsr-3727	23	16	to	to	ADP
fsr-3727	23	17	retirement	retirement	NOUN
fsr-3727	23	18	and	and	CCONJ
fsr-3727	23	19	moving	move	VERB
fsr-3727	23	20	the	the	DET
fsr-3727	23	21	portfolio	portfolio	NOUN
fsr-3727	23	22	toward	toward	ADP
fsr-3727	23	23	income	income	NOUN
fsr-3727	23	24	production	production	NOUN
fsr-3727	23	25	.	.	PUNCT
fsr-3727	23	26	.	.	PUNCT
fsr-3727	23	27	.	.	PUNCT
fsr-3727	24	1	in	in	ADP
fsr-3727	24	2	retirement	retirement	NOUN
fsr-3727	24	3	,	,	PUNCT
fsr-3727	24	4	portfolio	portfolio	NOUN
fsr-3727	24	5	mainly	mainly	ADV
fsr-3727	24	6	in	in	ADP
fsr-3727	24	7	a	a	DET
fsr-3727	24	8	variety	variety	NOUN
fsr-3727	24	9	of	of	ADP
fsr-3727	24	10	intermediate	intermediate	ADJ
fsr-3727	24	11	-	-	PUNCT
fsr-3727	24	12	term	term	NOUN
fsr-3727	24	13	bonds	bond	NOUN
fsr-3727	24	14	(	(	PUNCT
fsr-3727	24	15	five	five	NUM
fsr-3727	24	16	to	to	PART
fsr-3727	24	17	ten	ten	NUM
fsr-3727	24	18	years	year	NOUN
fsr-3727	24	19	to	to	ADP
fsr-3727	24	20	maturity	maturity	NOUN
fsr-3727	24	21	)	)	PUNCT
fsr-3727	24	22	and	and	CCONJ
fsr-3727	24	23	long	long	ADJ
fsr-3727	24	24	-	-	PUNCT
fsr-3727	24	25	term	term	NOUN
fsr-3727	24	26	bonds	bond	NOUN
fsr-3727	24	27	(	(	PUNCT
fsr-3727	24	28	over	over	ADP
fsr-3727	24	29	ten	ten	NUM
fsr-3727	24	30	years	year	NOUN
fsr-3727	24	31	to	to	ADP
fsr-3727	24	32	maturity	maturity	NOUN
fsr-3727	24	33	)	)	PUNCT
fsr-3727	24	34	is	be	AUX
fsr-3727	24	35	recommended	recommend	VERB
fsr-3727	24	36	.	.	PUNCT
fsr-3727	25	1	the	the	DET
fsr-3727	25	2	small	small	ADJ
fsr-3727	25	3	proportion	proportion	NOUN
fsr-3727	25	4	of	of	ADP
fsr-3727	25	5	stocks	stock	NOUN
fsr-3727	25	6	is	be	AUX
fsr-3727	25	7	included	include	VERB
fsr-3727	25	8	to	to	PART
fsr-3727	25	9	give	give	VERB
fsr-3727	25	10	some	some	DET
fsr-3727	25	11	income	income	NOUN
fsr-3727	25	12	growth	growth	NOUN
fsr-3727	25	13	to	to	PART
fsr-3727	25	14	cope	cope	VERB
fsr-3727	25	15	with	with	ADP
fsr-3727	25	16	inflation	inflation	NOUN
fsr-3727	25	17	.	.	PUNCT
fsr-3727	26	1	(	(	PUNCT
fsr-3727	26	2	pp	pp	ADJ
fsr-3727	26	3	.	.	PUNCT
fsr-3727	27	1	356	356	NUM
fsr-3727	27	2	-	-	SYM
fsr-3727	27	3	7	7	NUM
fsr-3727	27	4	)	)	PUNCT
fsr-3727	27	5	in	in	ADP
fsr-3727	27	6	the	the	DET
fsr-3727	27	7	graphs	graph	NOUN
fsr-3727	27	8	that	that	PRON
fsr-3727	27	9	follow	follow	VERB
fsr-3727	27	10	the	the	DET
fsr-3727	27	11	chapter	chapter	NOUN
fsr-3727	27	12	,	,	PUNCT
fsr-3727	27	13	he	he	PRON
fsr-3727	27	14	recommends	recommend	VERB
fsr-3727	27	15	investors	investor	NOUN
fsr-3727	27	16	in	in	ADP
fsr-3727	27	17	the	the	DET
fsr-3727	27	18	late	late	ADJ
fsr-3727	27	19	sixties	sixty	NOUN
fsr-3727	27	20	and	and	CCONJ
fsr-3727	27	21	beyond	beyond	ADP
fsr-3727	27	22	hold	hold	NOUN
fsr-3727	27	23	60	60	NUM
fsr-3727	27	24	percent	percent	NOUN
fsr-3727	27	25	bonds	bond	NOUN
fsr-3727	27	26	,	,	PUNCT
fsr-3727	27	27	30	30	NUM
fsr-3727	27	28	percent	percent	NOUN
fsr-3727	27	29	equity	equity	NOUN
fsr-3727	27	30	and	and	CCONJ
fsr-3727	27	31	10	10	NUM
fsr-3727	27	32	percent	percent	NOUN
fsr-3727	27	33	in	in	ADP
fsr-3727	27	34	a	a	DET
fsr-3727	27	35	money	money	NOUN
fsr-3727	27	36	market	market	NOUN
fsr-3727	27	37	fund	fund	NOUN
fsr-3727	27	38	.	.	PUNCT
fsr-3727	28	1	investors	investor	NOUN
fsr-3727	28	2	in	in	ADP
fsr-3727	28	3	their	their	PRON
fsr-3727	28	4	mid	mid	NOUN
fsr-3727	28	5	-	-	NOUN
fsr-3727	28	6	fifties	fifty	NOUN
fsr-3727	28	7	are	be	AUX
fsr-3727	28	8	recommended	recommend	VERB
fsr-3727	28	9	to	to	PART
fsr-3727	28	10	have	have	VERB
fsr-3727	28	11	50	50	NUM
fsr-3727	28	12	percent	percent	NOUN
fsr-3727	28	13	in	in	ADP
fsr-3727	28	14	stocks	stock	NOUN
fsr-3727	28	15	,	,	PUNCT
fsr-3727	28	16	45	45	NUM
fsr-3727	28	17	percent	percent	NOUN
fsr-3727	28	18	in	in	ADP
fsr-3727	28	19	bonds	bond	NOUN
fsr-3727	28	20	.	.	PUNCT
fsr-3727	29	1	we	we	PRON
fsr-3727	29	2	compare	compare	VERB
fsr-3727	29	3	a	a	DET
fsr-3727	29	4	numerical	numerical	ADJ
fsr-3727	29	5	example	example	NOUN
fsr-3727	29	6	generated	generate	VERB
fsr-3727	29	7	in	in	ADP
fsr-3727	29	8	our	our	PRON
fsr-3727	29	9	model	model	NOUN
fsr-3727	29	10	with	with	ADP
fsr-3727	29	11	malkiel	malkiel	PROPN
fsr-3727	29	12	’s	’s	PART
fsr-3727	29	13	advice	advice	NOUN
fsr-3727	29	14	.	.	PUNCT
fsr-3727	30	1	the	the	DET
fsr-3727	30	2	investment	investment	NOUN
fsr-3727	30	3	allocation	allocation	NOUN
fsr-3727	30	4	in	in	ADP
fsr-3727	30	5	this	this	DET
fsr-3727	30	6	paper	paper	NOUN
fsr-3727	30	7	incorporates	incorporate	VERB
fsr-3727	30	8	the	the	DET
fsr-3727	30	9	required	require	VERB
fsr-3727	30	10	rate	rate	NOUN
fsr-3727	30	11	of	of	ADP
fsr-3727	30	12	return	return	NOUN
fsr-3727	30	13	to	to	PART
fsr-3727	30	14	minimize	minimize	VERB
fsr-3727	30	15	the	the	DET
fsr-3727	30	16	probability	probability	NOUN
fsr-3727	30	17	of	of	ADP
fsr-3727	30	18	failing	fail	VERB
fsr-3727	30	19	to	to	PART
fsr-3727	30	20	meet	meet	VERB
fsr-3727	30	21	that	that	DET
fsr-3727	30	22	rate	rate	NOUN
fsr-3727	30	23	of	of	ADP
fsr-3727	30	24	return	return	NOUN
fsr-3727	30	25	on	on	ADP
fsr-3727	30	26	average	average	ADJ
fsr-3727	30	27	over	over	ADP
fsr-3727	30	28	the	the	DET
fsr-3727	30	29	weighted	weighted	ADJ
fsr-3727	30	30	lifespan	lifespan	NOUN
fsr-3727	30	31	remaining	remain	VERB
fsr-3727	30	32	to	to	ADP
fsr-3727	30	33	the	the	DET
fsr-3727	30	34	person	person	NOUN
fsr-3727	30	35	.	.	PUNCT
fsr-3727	31	1	this	this	DET
fsr-3727	31	2	implied	imply	VERB
fsr-3727	31	3	utility	utility	NOUN
fsr-3727	31	4	function	function	NOUN
fsr-3727	31	5	of	of	ADP
fsr-3727	31	6	minimizing	minimize	VERB
fsr-3727	31	7	shortfall	shortfall	NOUN
fsr-3727	31	8	is	be	AUX
fsr-3727	31	9	somewhat	somewhat	ADV
fsr-3727	31	10	similar	similar	ADJ
fsr-3727	31	11	to	to	ADP
fsr-3727	31	12	the	the	DET
fsr-3727	31	13	approach	approach	NOUN
fsr-3727	31	14	taken	take	VERB
fsr-3727	31	15	by	by	ADP
fsr-3727	31	16	leibowitz	leibowitz	PROPN
fsr-3727	31	17	and	and	CCONJ
fsr-3727	31	18	kogelman	kogelman	PROPN
fsr-3727	31	19	(	(	PUNCT
fsr-3727	31	20	1991	1991	NUM
fsr-3727	31	21	)	)	PUNCT
fsr-3727	31	22	.	.	PUNCT
fsr-3727	32	1	they	they	PRON
fsr-3727	32	2	“	"	PUNCT
fsr-3727	32	3	measure	measure	VERB
fsr-3727	32	4	risk	risk	NOUN
fsr-3727	32	5	by	by	ADP
fsr-3727	32	6	the	the	DET
fsr-3727	32	7	“	"	PUNCT
fsr-3727	32	8	shortfall	shortfall	NOUN
fsr-3727	32	9	probability	probability	NOUN
fsr-3727	32	10	”	"	PUNCT
fsr-3727	32	11	relative	relative	ADJ
fsr-3727	32	12	to	to	ADP
fsr-3727	32	13	a	a	DET
fsr-3727	32	14	minimum	minimum	ADJ
fsr-3727	32	15	return	return	NOUN
fsr-3727	32	16	threshold	threshold	NOUN
fsr-3727	32	17	.	.	PUNCT
fsr-3727	32	18	”	"	PUNCT
fsr-3727	33	1	a	a	DET
fsr-3727	33	2	fund	fund	NOUN
fsr-3727	33	3	manager	manager	NOUN
fsr-3727	33	4	can	can	AUX
fsr-3727	33	5	choose	choose	VERB
fsr-3727	33	6	any	any	DET
fsr-3727	33	7	combination	combination	NOUN
fsr-3727	33	8	of	of	ADP
fsr-3727	33	9	minimum	minimum	ADJ
fsr-3727	33	10	return	return	NOUN
fsr-3727	33	11	and	and	CCONJ
fsr-3727	33	12	probability	probability	NOUN
fsr-3727	33	13	and	and	CCONJ
fsr-3727	33	14	allocate	allocate	VERB
fsr-3727	33	15	the	the	DET
fsr-3727	33	16	assets	asset	NOUN
fsr-3727	33	17	between	between	ADP
fsr-3727	33	18	a	a	DET
fsr-3727	33	19	risk	risk	NOUN
fsr-3727	33	20	and	and	CCONJ
fsr-3727	33	21	risk	risk	NOUN
fsr-3727	33	22	-	-	PUNCT
fsr-3727	33	23	free	free	ADJ
fsr-3727	33	24	asset	asset	NOUN
fsr-3727	33	25	to	to	PART
fsr-3727	33	26	attain	attain	VERB
fsr-3727	33	27	a	a	DET
fsr-3727	33	28	desirable	desirable	ADJ
fsr-3727	33	29	position	position	NOUN
fsr-3727	33	30	.	.	PUNCT
fsr-3727	34	1	their	their	PRON
fsr-3727	34	2	procedure	procedure	NOUN
fsr-3727	34	3	does	do	AUX
fsr-3727	34	4	not	not	PART
fsr-3727	34	5	endogenize	endogenize	VERB
fsr-3727	34	6	the	the	DET
fsr-3727	34	7	time	time	NOUN
fsr-3727	34	8	horizon	horizon	NOUN
fsr-3727	34	9	of	of	ADP
fsr-3727	34	10	the	the	DET
fsr-3727	34	11	investor	investor	NOUN
fsr-3727	34	12	,	,	PUNCT
fsr-3727	34	13	since	since	SCONJ
fsr-3727	34	14	fund	fund	NOUN
fsr-3727	34	15	managers	manager	NOUN
fsr-3727	34	16	do	do	AUX
fsr-3727	34	17	not	not	PART
fsr-3727	34	18	necessarily	necessarily	ADV
fsr-3727	34	19	have	have	VERB
fsr-3727	34	20	a	a	DET
fsr-3727	34	21	specific	specific	ADJ
fsr-3727	34	22	time	time	NOUN
fsr-3727	34	23	constraint	constraint	NOUN
fsr-3727	34	24	.	.	PUNCT
fsr-3727	35	1	they	they	PRON
fsr-3727	35	2	do	do	AUX
fsr-3727	35	3	observe	observe	VERB
fsr-3727	35	4	that	that	SCONJ
fsr-3727	35	5	for	for	ADP
fsr-3727	35	6	longer	long	ADJ
fsr-3727	35	7	time	time	NOUN
fsr-3727	35	8	horizons	horizon	NOUN
fsr-3727	35	9	,	,	PUNCT
fsr-3727	35	10	the	the	DET
fsr-3727	35	11	proportion	proportion	NOUN
fsr-3727	35	12	invested	invest	VERB
fsr-3727	35	13	in	in	ADP
fsr-3727	35	14	equity	equity	NOUN
fsr-3727	35	15	rises	rise	NOUN
fsr-3727	35	16	.	.	PUNCT
fsr-3727	36	1	many	many	ADJ
fsr-3727	36	2	researchers	researcher	NOUN
fsr-3727	36	3	have	have	AUX
fsr-3727	36	4	considered	consider	VERB
fsr-3727	36	5	the	the	DET
fsr-3727	36	6	general	general	ADJ
fsr-3727	36	7	question	question	NOUN
fsr-3727	36	8	of	of	ADP
fsr-3727	36	9	which	which	DET
fsr-3727	36	10	investment	investment	NOUN
fsr-3727	36	11	horizon	horizon	NOUN
fsr-3727	36	12	to	to	PART
fsr-3727	36	13	use	use	VERB
fsr-3727	36	14	and	and	CCONJ
fsr-3727	36	15	what	what	DET
fsr-3727	36	16	effect	effect	NOUN
fsr-3727	36	17	different	different	ADJ
fsr-3727	36	18	horizons	horizon	NOUN
fsr-3727	36	19	have	have	VERB
fsr-3727	36	20	on	on	ADP
fsr-3727	36	21	how	how	SCONJ
fsr-3727	36	22	we	we	PRON
fsr-3727	36	23	view	view	VERB
fsr-3727	36	24	risk	risk	NOUN
fsr-3727	36	25	and	and	CCONJ
fsr-3727	36	26	return	return	VERB
fsr-3727	36	27	.	.	PUNCT
fsr-3727	37	1	in	in	ADP
fsr-3727	37	2	general	general	ADJ
fsr-3727	37	3	,	,	PUNCT
fsr-3727	37	4	they	they	PRON
fsr-3727	37	5	find	find	VERB
fsr-3727	37	6	that	that	SCONJ
fsr-3727	37	7	risk	risk	NOUN
fsr-3727	37	8	declines	decline	VERB
fsr-3727	37	9	if	if	SCONJ
fsr-3727	37	10	assets	asset	NOUN
fsr-3727	37	11	are	be	AUX
fsr-3727	37	12	held	hold	VERB
fsr-3727	37	13	without	without	ADP
fsr-3727	37	14	trading	trading	NOUN
fsr-3727	37	15	for	for	ADP
fsr-3727	37	16	long	long	ADJ
fsr-3727	37	17	periods	period	NOUN
fsr-3727	37	18	.	.	PUNCT
fsr-3727	38	1	different	different	ADJ
fsr-3727	38	2	assets	asset	NOUN
fsr-3727	38	3	perform	perform	VERB
fsr-3727	38	4	better	well	ADV
fsr-3727	38	5	in	in	ADP
fsr-3727	38	6	shorter	short	ADJ
fsr-3727	38	7	periods	period	NOUN
fsr-3727	38	8	of	of	ADP
fsr-3727	38	9	time	time	NOUN
fsr-3727	38	10	so	so	SCONJ
fsr-3727	38	11	the	the	DET
fsr-3727	38	12	benefits	benefit	NOUN
fsr-3727	38	13	of	of	ADP
fsr-3727	38	14	changing	change	VERB
fsr-3727	38	15	portfolio	portfolio	NOUN
fsr-3727	38	16	composition	composition	NOUN
fsr-3727	38	17	are	be	AUX
fsr-3727	38	18	considerable	considerable	ADJ
fsr-3727	38	19	if	if	SCONJ
fsr-3727	38	20	the	the	DET
fsr-3727	38	21	investor	investor	NOUN
fsr-3727	38	22	times	time	NOUN
fsr-3727	38	23	successfully.4	successfully.4	VERB
fsr-3727	38	24	the	the	DET
fsr-3727	38	25	conclusion	conclusion	NOUN
fsr-3727	38	26	for	for	ADP
fsr-3727	38	27	asset	asset	NOUN
fsr-3727	38	28	allocation	allocation	NOUN
fsr-3727	38	29	is	be	AUX
fsr-3727	38	30	that	that	SCONJ
fsr-3727	38	31	you	you	PRON
fsr-3727	38	32	should	should	AUX
fsr-3727	38	33	use	use	VERB
fsr-3727	38	34	more	more	ADJ
fsr-3727	38	35	equity	equity	NOUN
fsr-3727	38	36	for	for	ADP
fsr-3727	38	37	longer	long	ADJ
fsr-3727	38	38	horizons	horizon	NOUN
fsr-3727	38	39	.	.	PUNCT
fsr-3727	39	1	lloyd	lloyd	PROPN
fsr-3727	39	2	and	and	CCONJ
fsr-3727	39	3	modani	modani	PROPN
fsr-3727	39	4	(	(	PUNCT
fsr-3727	39	5	1983	1983	NUM
fsr-3727	39	6	)	)	PUNCT
fsr-3727	39	7	conclude	conclude	NOUN
fsr-3727	39	8	:	:	PUNCT
fsr-3727	39	9	in	in	ADP
fsr-3727	39	10	general	general	ADJ
fsr-3727	39	11	,	,	PUNCT
fsr-3727	39	12	the	the	DET
fsr-3727	39	13	usefulness	usefulness	NOUN
fsr-3727	39	14	of	of	ADP
fsr-3727	39	15	time	time	NOUN
fsr-3727	39	16	diversification	diversification	NOUN
fsr-3727	39	17	is	be	AUX
fsr-3727	39	18	more	more	ADV
fsr-3727	39	19	evident	evident	ADJ
fsr-3727	39	20	for	for	ADP
fsr-3727	39	21	portfolios	portfolio	NOUN
fsr-3727	39	22	containing	contain	VERB
fsr-3727	39	23	common	common	ADJ
fsr-3727	39	24	stock	stock	NOUN
fsr-3727	39	25	.	.	PUNCT
fsr-3727	40	1	further	far	ADV
fsr-3727	40	2	,	,	PUNCT
fsr-3727	40	3	the	the	DET
fsr-3727	40	4	riskiness	riskiness	NOUN
fsr-3727	40	5	of	of	ADP
fsr-3727	40	6	any	any	DET
fsr-3727	40	7	portfolio	portfolio	NOUN
fsr-3727	40	8	position	position	NOUN
fsr-3727	40	9	is	be	AUX
fsr-3727	40	10	unclear	unclear	ADJ
fsr-3727	40	11	unless	unless	SCONJ
fsr-3727	40	12	the	the	DET
fsr-3727	40	13	number	number	NOUN
fsr-3727	40	14	of	of	ADP
fsr-3727	40	15	time	time	NOUN
fsr-3727	40	16	periods	period	VERB
fsr-3727	40	17	the	the	DET
fsr-3727	40	18	portfolio	portfolio	NOUN
fsr-3727	40	19	will	will	AUX
fsr-3727	40	20	be	be	AUX
fsr-3727	40	21	held	hold	VERB
fsr-3727	40	22	is	be	AUX
fsr-3727	40	23	also	also	ADV
fsr-3727	40	24	considered	consider	VERB
fsr-3727	40	25	.	.	PUNCT
fsr-3727	41	1	(	(	PUNCT
fsr-3727	41	2	p.	p.	NOUN
fsr-3727	41	3	11	11	NUM
fsr-3727	41	4	)	)	PUNCT
fsr-3727	41	5	asset	asset	NOUN
fsr-3727	41	6	allocation	allocation	NOUN
fsr-3727	41	7	,	,	PUNCT
fsr-3727	41	8	life	life	NOUN
fsr-3727	41	9	expectancy	expectancy	NOUN
fsr-3727	41	10	and	and	CCONJ
fsr-3727	41	11	shortfall	shortfall	NOUN
fsr-3727	41	12	111	111	NUM
fsr-3727	41	13	butler	butler	NOUN
fsr-3727	41	14	and	and	CCONJ
fsr-3727	41	15	domian	domian	NOUN
fsr-3727	41	16	(	(	PUNCT
fsr-3727	41	17	1993	1993	NUM
fsr-3727	41	18	)	)	PUNCT
fsr-3727	41	19	use	use	VERB
fsr-3727	41	20	a	a	DET
fsr-3727	41	21	simulation	simulation	NOUN
fsr-3727	41	22	to	to	PART
fsr-3727	41	23	find	find	VERB
fsr-3727	41	24	that	that	SCONJ
fsr-3727	41	25	equity	equity	NOUN
fsr-3727	41	26	is	be	AUX
fsr-3727	41	27	almost	almost	ADV
fsr-3727	41	28	certain	certain	ADJ
fsr-3727	41	29	to	to	PART
fsr-3727	41	30	be	be	AUX
fsr-3727	41	31	superior	superior	ADJ
fsr-3727	41	32	to	to	ADP
fsr-3727	41	33	bonds	bond	NOUN
fsr-3727	41	34	for	for	ADP
fsr-3727	41	35	holding	hold	VERB
fsr-3727	41	36	periods	period	NOUN
fsr-3727	41	37	exceeding	exceed	VERB
fsr-3727	41	38	10	10	NUM
fsr-3727	41	39	years	year	NOUN
fsr-3727	41	40	,	,	PUNCT
fsr-3727	41	41	and	and	CCONJ
fsr-3727	41	42	is	be	AUX
fsr-3727	41	43	likely	likely	ADJ
fsr-3727	41	44	to	to	PART
fsr-3727	41	45	be	be	AUX
fsr-3727	41	46	better	well	ADJ
fsr-3727	41	47	for	for	ADP
fsr-3727	41	48	shorter	short	ADJ
fsr-3727	41	49	holding	hold	VERB
fsr-3727	41	50	periods	period	NOUN
fsr-3727	41	51	.	.	PUNCT
fsr-3727	42	1	since	since	SCONJ
fsr-3727	42	2	we	we	PRON
fsr-3727	42	3	are	be	AUX
fsr-3727	42	4	solving	solve	VERB
fsr-3727	42	5	the	the	DET
fsr-3727	42	6	problem	problem	NOUN
fsr-3727	42	7	for	for	ADP
fsr-3727	42	8	an	an	DET
fsr-3727	42	9	individual	individual	ADJ
fsr-3727	42	10	retiree	retiree	NOUN
fsr-3727	42	11	,	,	PUNCT
fsr-3727	42	12	we	we	PRON
fsr-3727	42	13	incorporate	incorporate	VERB
fsr-3727	42	14	this	this	DET
fsr-3727	42	15	time	time	NOUN
fsr-3727	42	16	dimension	dimension	NOUN
fsr-3727	42	17	explicitly	explicitly	ADV
fsr-3727	42	18	.	.	PUNCT
fsr-3727	43	1	in	in	ADP
fsr-3727	43	2	addition	addition	NOUN
fsr-3727	43	3	,	,	PUNCT
fsr-3727	43	4	we	we	PRON
fsr-3727	43	5	require	require	VERB
fsr-3727	43	6	annual	annual	ADJ
fsr-3727	43	7	consumption	consumption	NOUN
fsr-3727	43	8	from	from	ADP
fsr-3727	43	9	the	the	DET
fsr-3727	43	10	portfolio	portfolio	NOUN
fsr-3727	43	11	,	,	PUNCT
fsr-3727	43	12	which	which	PRON
fsr-3727	43	13	does	do	AUX
fsr-3727	43	14	not	not	PART
fsr-3727	43	15	appear	appear	VERB
fsr-3727	43	16	in	in	ADP
fsr-3727	43	17	other	other	ADJ
fsr-3727	43	18	researchers	researcher	NOUN
fsr-3727	43	19	’	'	PUNCT
fsr-3727	43	20	treatments	treatment	NOUN
fsr-3727	43	21	of	of	ADP
fsr-3727	43	22	this	this	DET
fsr-3727	43	23	problem	problem	NOUN
fsr-3727	43	24	.	.	PUNCT
fsr-3727	44	1	substitu	substitu	ADJ
fsr-3727	44	2	tion	tion	NOUN
fsr-3727	44	3	of	of	ADP
fsr-3727	44	4	standard	standard	ADJ
fsr-3727	44	5	canadian	canadian	ADJ
fsr-3727	44	6	mortality	mortality	NOUN
fsr-3727	44	7	tables	table	NOUN
fsr-3727	44	8	and	and	CCONJ
fsr-3727	44	9	reasonable	reasonable	ADJ
fsr-3727	44	10	estimates	estimate	NOUN
fsr-3727	44	11	of	of	ADP
fsr-3727	44	12	return	return	NOUN
fsr-3727	44	13	and	and	CCONJ
fsr-3727	44	14	variance	variance	NOUN
fsr-3727	44	15	for	for	ADP
fsr-3727	44	16	canadian	canadian	PROPN
fsr-3727	44	17	t	t	PROPN
fsr-3727	44	18	-	-	PUNCT
fsr-3727	44	19	bills	bill	NOUN
fsr-3727	44	20	and	and	CCONJ
fsr-3727	44	21	equity	equity	NOUN
fsr-3727	44	22	provides	provide	VERB
fsr-3727	44	23	surprising	surprising	ADJ
fsr-3727	44	24	results	result	NOUN
fsr-3727	44	25	.	.	PUNCT
fsr-3727	45	1	only	only	ADV
fsr-3727	45	2	at	at	ADP
fsr-3727	45	3	quite	quite	ADV
fsr-3727	45	4	high	high	ADJ
fsr-3727	45	5	wealth	wealth	NOUN
fsr-3727	45	6	levels	level	NOUN
fsr-3727	45	7	or	or	CCONJ
fsr-3727	45	8	well	well	ADV
fsr-3727	45	9	into	into	ADP
fsr-3727	45	10	retirement	retirement	NOUN
fsr-3727	45	11	do	do	AUX
fsr-3727	45	12	the	the	DET
fsr-3727	45	13	portfolios	portfolio	NOUN
fsr-3727	45	14	contain	contain	VERB
fsr-3727	45	15	less	less	ADJ
fsr-3727	45	16	than	than	ADP
fsr-3727	45	17	100	100	NUM
fsr-3727	45	18	percent	percent	NOUN
fsr-3727	45	19	equity	equity	NOUN
fsr-3727	45	20	.	.	PUNCT
fsr-3727	46	1	not	not	PART
fsr-3727	46	2	surpris	surpris	PROPN
fsr-3727	46	3	ingly	ingly	ADV
fsr-3727	46	4	,	,	PUNCT
fsr-3727	46	5	100	100	NUM
fsr-3727	46	6	percent	percent	NOUN
fsr-3727	46	7	equity	equity	NOUN
fsr-3727	46	8	is	be	AUX
fsr-3727	46	9	optimal	optimal	ADJ
fsr-3727	46	10	for	for	ADP
fsr-3727	46	11	women	woman	NOUN
fsr-3727	46	12	at	at	ADP
fsr-3727	46	13	an	an	DET
fsr-3727	46	14	older	old	ADJ
fsr-3727	46	15	age	age	NOUN
fsr-3727	46	16	than	than	ADP
fsr-3727	46	17	men	man	NOUN
fsr-3727	46	18	,	,	PUNCT
fsr-3727	46	19	since	since	SCONJ
fsr-3727	46	20	women	woman	NOUN
fsr-3727	46	21	have	have	VERB
fsr-3727	46	22	a	a	DET
fsr-3727	46	23	longer	long	ADV
fsr-3727	46	24	expected	expect	VERB
fsr-3727	46	25	lifespan	lifespan	NOUN
fsr-3727	46	26	to	to	PART
fsr-3727	46	27	finance	finance	VERB
fsr-3727	46	28	.	.	PUNCT
fsr-3727	47	1	this	this	DET
fsr-3727	47	2	result	result	NOUN
fsr-3727	47	3	highlights	highlight	VERB
fsr-3727	47	4	the	the	DET
fsr-3727	47	5	contradiction	contradiction	NOUN
fsr-3727	47	6	in	in	ADP
fsr-3727	47	7	the	the	DET
fsr-3727	47	8	obser	obser	ADJ
fsr-3727	47	9	vation	vation	NOUN
fsr-3727	47	10	that	that	SCONJ
fsr-3727	47	11	women	woman	NOUN
fsr-3727	47	12	are	be	AUX
fsr-3727	47	13	generally	generally	ADV
fsr-3727	47	14	seen	see	VERB
fsr-3727	47	15	to	to	PART
fsr-3727	47	16	invest	invest	VERB
fsr-3727	47	17	in	in	ADP
fsr-3727	47	18	less	less	ADV
fsr-3727	47	19	risky	risky	ADJ
fsr-3727	47	20	portfolios	portfolio	NOUN
fsr-3727	47	21	than	than	SCONJ
fsr-3727	47	22	men	man	NOUN
fsr-3727	47	23	do	do	VERB
fsr-3727	47	24	.	.	PUNCT
fsr-3727	48	1	the	the	DET
fsr-3727	48	2	unrecognized	unrecognized	ADJ
fsr-3727	48	3	risk	risk	NOUN
fsr-3727	48	4	for	for	ADP
fsr-3727	48	5	retirees	retiree	NOUN
fsr-3727	48	6	is	be	AUX
fsr-3727	48	7	the	the	DET
fsr-3727	48	8	risk	risk	NOUN
fsr-3727	48	9	of	of	ADP
fsr-3727	48	10	living	live	VERB
fsr-3727	48	11	too	too	ADV
fsr-3727	48	12	long	long	ADV
fsr-3727	48	13	.	.	PUNCT
fsr-3727	49	1	in	in	ADP
fsr-3727	49	2	the	the	DET
fsr-3727	49	3	rest	rest	NOUN
fsr-3727	49	4	of	of	ADP
fsr-3727	49	5	the	the	DET
fsr-3727	49	6	paper	paper	NOUN
fsr-3727	49	7	we	we	PRON
fsr-3727	49	8	proceed	proceed	VERB
fsr-3727	49	9	as	as	SCONJ
fsr-3727	49	10	follows	follow	VERB
fsr-3727	49	11	.	.	PUNCT
fsr-3727	50	1	the	the	DET
fsr-3727	50	2	next	next	ADJ
fsr-3727	50	3	section	section	NOUN
fsr-3727	50	4	formulates	formulate	VERB
fsr-3727	50	5	and	and	CCONJ
fsr-3727	50	6	solves	solve	VERB
fsr-3727	50	7	the	the	DET
fsr-3727	50	8	retiree	retiree	NOUN
fsr-3727	50	9	’s	’s	PART
fsr-3727	50	10	asset	asset	NOUN
fsr-3727	50	11	allocation	allocation	NOUN
fsr-3727	50	12	problem	problem	NOUN
fsr-3727	50	13	.	.	PUNCT
fsr-3727	51	1	most	most	ADJ
fsr-3727	51	2	of	of	ADP
fsr-3727	51	3	the	the	DET
fsr-3727	51	4	mathematical	mathematical	ADJ
fsr-3727	51	5	details	detail	NOUN
fsr-3727	51	6	are	be	AUX
fsr-3727	51	7	left	leave	VERB
fsr-3727	51	8	to	to	ADP
fsr-3727	51	9	an	an	DET
fsr-3727	51	10	appendix	appendix	NOUN
fsr-3727	51	11	.	.	PUNCT
fsr-3727	52	1	the	the	DET
fsr-3727	52	2	following	follow	VERB
fsr-3727	52	3	section	section	NOUN
fsr-3727	52	4	provides	provide	VERB
fsr-3727	52	5	the	the	DET
fsr-3727	52	6	numerical	numerical	ADJ
fsr-3727	52	7	results	result	NOUN
fsr-3727	52	8	.	.	PUNCT
fsr-3727	53	1	we	we	PRON
fsr-3727	53	2	then	then	ADV
fsr-3727	53	3	examine	examine	VERB
fsr-3727	53	4	the	the	DET
fsr-3727	53	5	problem	problem	NOUN
fsr-3727	53	6	when	when	SCONJ
fsr-3727	53	7	100	100	NUM
fsr-3727	53	8	percent	percent	NOUN
fsr-3727	53	9	equity	equity	NOUN
fsr-3727	53	10	is	be	AUX
fsr-3727	53	11	insufficient	insufficient	ADJ
fsr-3727	53	12	,	,	PUNCT
fsr-3727	53	13	and	and	CCONJ
fsr-3727	53	14	provide	provide	VERB
fsr-3727	53	15	an	an	DET
fsr-3727	53	16	heuristic	heuristic	ADJ
fsr-3727	53	17	solution	solution	NOUN
fsr-3727	53	18	to	to	ADP
fsr-3727	53	19	the	the	DET
fsr-3727	53	20	question	question	NOUN
fsr-3727	53	21	of	of	ADP
fsr-3727	53	22	optimal	optimal	ADJ
fsr-3727	53	23	leverage	leverage	NOUN
fsr-3727	53	24	on	on	ADP
fsr-3727	53	25	personal	personal	ADJ
fsr-3727	53	26	(	(	PUNCT
fsr-3727	53	27	margin	margin	NOUN
fsr-3727	53	28	)	)	PUNCT
fsr-3727	53	29	account	account	NOUN
fsr-3727	53	30	.	.	PUNCT
fsr-3727	54	1	we	we	PRON
fsr-3727	54	2	discuss	discuss	VERB
fsr-3727	54	3	the	the	DET
fsr-3727	54	4	implications	implication	NOUN
fsr-3727	54	5	of	of	ADP
fsr-3727	54	6	our	our	PRON
fsr-3727	54	7	results	result	NOUN
fsr-3727	54	8	for	for	ADP
fsr-3727	54	9	retirement	retirement	NOUN
fsr-3727	54	10	planning	planning	NOUN
fsr-3727	54	11	.	.	PUNCT
fsr-3727	55	1	finally	finally	ADV
fsr-3727	55	2	,	,	PUNCT
fsr-3727	55	3	we	we	PRON
fsr-3727	55	4	conclude	conclude	VERB
fsr-3727	55	5	with	with	ADP
fsr-3727	55	6	a	a	DET
fsr-3727	55	7	brief	brief	ADJ
fsr-3727	55	8	discussion	discussion	NOUN
fsr-3727	55	9	of	of	ADP
fsr-3727	55	10	possible	possible	ADJ
fsr-3727	55	11	improvements	improvement	NOUN
fsr-3727	55	12	and	and	CCONJ
fsr-3727	55	13	extensions	extension	NOUN
fsr-3727	55	14	.	.	PUNCT
fsr-3727	56	1	ii	ii	X
fsr-3727	56	2	.	.	PUNCT
fsr-3727	57	1	developing	develop	VERB
fsr-3727	57	2	a	a	DET
fsr-3727	57	3	solution	solution	NOUN
fsr-3727	57	4	formulation	formulation	NOUN
fsr-3727	57	5	of	of	ADP
fsr-3727	57	6	the	the	DET
fsr-3727	57	7	problem	problem	NOUN
fsr-3727	57	8	we	we	PRON
fsr-3727	57	9	wish	wish	VERB
fsr-3727	57	10	to	to	PART
fsr-3727	57	11	solve	solve	VERB
fsr-3727	57	12	the	the	DET
fsr-3727	57	13	problem	problem	NOUN
fsr-3727	57	14	of	of	ADP
fsr-3727	57	15	how	how	SCONJ
fsr-3727	57	16	a	a	DET
fsr-3727	57	17	retiree	retiree	NOUN
fsr-3727	57	18	should	should	AUX
fsr-3727	57	19	allocate	allocate	VERB
fsr-3727	57	20	his	his	PRON
fsr-3727	57	21	/	/	SYM
fsr-3727	57	22	her	her	PRON
fsr-3727	57	23	wealth	wealth	NOUN
fsr-3727	57	24	between	between	ADP
fsr-3727	57	25	a	a	DET
fsr-3727	57	26	risky	risky	ADJ
fsr-3727	57	27	and	and	CCONJ
fsr-3727	57	28	a	a	DET
fsr-3727	57	29	default	default	NOUN
fsr-3727	57	30	risk	risk	NOUN
fsr-3727	57	31	-	-	PUNCT
fsr-3727	57	32	free	free	ADJ
fsr-3727	57	33	asset	asset	NOUN
fsr-3727	57	34	.	.	PUNCT
fsr-3727	58	1	we	we	PRON
fsr-3727	58	2	consider	consider	VERB
fsr-3727	58	3	how	how	SCONJ
fsr-3727	58	4	age	age	NOUN
fsr-3727	58	5	,	,	PUNCT
fsr-3727	58	6	mortality	mortality	NOUN
fsr-3727	58	7	rates	rate	NOUN
fsr-3727	58	8	(	(	PUNCT
fsr-3727	58	9	or	or	CCONJ
fsr-3727	58	10	equivalently	equivalently	ADV
fsr-3727	58	11	,	,	PUNCT
fsr-3727	58	12	life	life	NOUN
fsr-3727	58	13	expectancy	expectancy	NOUN
fsr-3727	58	14	of	of	ADP
fsr-3727	58	15	a	a	DET
fsr-3727	58	16	person	person	NOUN
fsr-3727	58	17	at	at	ADP
fsr-3727	58	18	any	any	DET
fsr-3727	58	19	given	give	VERB
fsr-3727	58	20	age	age	NOUN
fsr-3727	58	21	)	)	PUNCT
fsr-3727	58	22	,	,	PUNCT
fsr-3727	58	23	initial	initial	ADJ
fsr-3727	58	24	wealth	wealth	NOUN
fsr-3727	58	25	,	,	PUNCT
fsr-3727	58	26	and	and	CCONJ
fsr-3727	58	27	the	the	DET
fsr-3727	58	28	desired	desire	VERB
fsr-3727	58	29	level	level	NOUN
fsr-3727	58	30	of	of	ADP
fsr-3727	58	31	consumption	consumption	NOUN
fsr-3727	58	32	affect	affect	VERB
fsr-3727	58	33	the	the	DET
fsr-3727	58	34	allocation	allocation	NOUN
fsr-3727	58	35	decision	decision	NOUN
fsr-3727	58	36	.	.	PUNCT
fsr-3727	59	1	assume	assume	VERB
fsr-3727	59	2	that	that	SCONJ
fsr-3727	59	3	,	,	PUNCT
fsr-3727	59	4	at	at	ADP
fsr-3727	59	5	the	the	DET
fsr-3727	59	6	point	point	NOUN
fsr-3727	59	7	of	of	ADP
fsr-3727	59	8	retirement	retirement	NOUN
fsr-3727	59	9	,	,	PUNCT
fsr-3727	59	10	the	the	DET
fsr-3727	59	11	individual	individual	NOUN
fsr-3727	59	12	of	of	ADP
fsr-3727	59	13	n	n	PRON
fsr-3727	59	14	years	year	NOUN
fsr-3727	59	15	of	of	ADP
fsr-3727	59	16	age	age	NOUN
fsr-3727	59	17	has	have	VERB
fsr-3727	59	18	wealth	wealth	NOUN
fsr-3727	59	19	of	of	ADP
fsr-3727	59	20	w	w	PROPN
fsr-3727	59	21	dollars	dollar	NOUN
fsr-3727	59	22	.	.	PUNCT
fsr-3727	60	1	assume	assume	VERB
fsr-3727	60	2	that	that	SCONJ
fsr-3727	60	3	he	he	PRON
fsr-3727	60	4	has	have	VERB
fsr-3727	60	5	no	no	DET
fsr-3727	60	6	other	other	ADJ
fsr-3727	60	7	source	source	NOUN
fsr-3727	60	8	of	of	ADP
fsr-3727	60	9	income	income	NOUN
fsr-3727	60	10	so	so	SCONJ
fsr-3727	60	11	that	that	SCONJ
fsr-3727	60	12	his	his	PRON
fsr-3727	60	13	current	current	ADJ
fsr-3727	60	14	and	and	CCONJ
fsr-3727	60	15	future	future	ADJ
fsr-3727	60	16	consumption	consumption	NOUN
fsr-3727	60	17	is	be	AUX
fsr-3727	60	18	entirely	entirely	ADV
fsr-3727	60	19	financed	finance	VERB
fsr-3727	60	20	from	from	ADP
fsr-3727	60	21	this	this	DET
fsr-3727	60	22	sum	sum	NOUN
fsr-3727	60	23	and	and	CCONJ
fsr-3727	60	24	earnings	earning	NOUN
fsr-3727	60	25	on	on	ADP
fsr-3727	60	26	it	it	PRON
fsr-3727	60	27	.	.	PUNCT
fsr-3727	61	1	he	he	PRON
fsr-3727	61	2	will	will	AUX
fsr-3727	61	3	invest	invest	VERB
fsr-3727	61	4	w	w	NOUN
fsr-3727	61	5	in	in	ADP
fsr-3727	61	6	a	a	DET
fsr-3727	61	7	portfolio	portfolio	NOUN
fsr-3727	61	8	of	of	ADP
fsr-3727	61	9	risky	risky	ADJ
fsr-3727	61	10	and	and	CCONJ
fsr-3727	61	11	risk	risk	NOUN
fsr-3727	61	12	-	-	PUNCT
fsr-3727	61	13	free	free	ADJ
fsr-3727	61	14	assets	asset	NOUN
fsr-3727	61	15	in	in	ADP
fsr-3727	61	16	order	order	NOUN
fsr-3727	61	17	to	to	PART
fsr-3727	61	18	support	support	VERB
fsr-3727	61	19	the	the	DET
fsr-3727	61	20	level	level	NOUN
fsr-3727	61	21	of	of	ADP
fsr-3727	61	22	desired	desire	VERB
fsr-3727	61	23	consumption	consumption	NOUN
fsr-3727	61	24	until	until	ADP
fsr-3727	61	25	death	death	NOUN
fsr-3727	61	26	.	.	PUNCT
fsr-3727	62	1	let	let	VERB
fsr-3727	62	2	c	c	X
fsr-3727	62	3	,	,	PUNCT
fsr-3727	62	4	be	be	AUX
fsr-3727	62	5	this	this	DET
fsr-3727	62	6	desired	desire	VERB
fsr-3727	62	7	annual	annual	ADJ
fsr-3727	62	8	consumption	consumption	NOUN
fsr-3727	62	9	in	in	ADP
fsr-3727	62	10	nominal	nominal	ADJ
fsr-3727	62	11	dollars5	dollars5	NOUN
fsr-3727	63	1	we	we	PRON
fsr-3727	63	2	do	do	VERB
fsr-3727	63	3	the	the	DET
fsr-3727	63	4	analysis	analysis	NOUN
fsr-3727	63	5	in	in	ADP
fsr-3727	63	6	before	before	ADP
fsr-3727	63	7	-	-	PUNCT
fsr-3727	63	8	tax	tax	NOUN
fsr-3727	63	9	dollars	dollar	NOUN
fsr-3727	63	10	,	,	PUNCT
fsr-3727	63	11	because	because	SCONJ
fsr-3727	63	12	the	the	DET
fsr-3727	63	13	details	detail	NOUN
fsr-3727	63	14	of	of	ADP
fsr-3727	63	15	tax	tax	NOUN
fsr-3727	63	16	rules	rule	NOUN
fsr-3727	63	17	are	be	AUX
fsr-3727	63	18	too	too	ADV
fsr-3727	63	19	difficult	difficult	ADJ
fsr-3727	63	20	to	to	PART
fsr-3727	63	21	incorporate	incorporate	VERB
fsr-3727	63	22	.	.	PUNCT
fsr-3727	64	1	let	let	VERB
fsr-3727	64	2	ip	ip	ADJ
fsr-3727	64	3	,	,	PUNCT
fsr-3727	64	4	be	be	AUX
fsr-3727	64	5	the	the	DET
fsr-3727	64	6	probability	probability	NOUN
fsr-3727	64	7	that	that	SCONJ
fsr-3727	64	8	the	the	DET
fsr-3727	64	9	individual	individual	NOUN
fsr-3727	64	10	aged	age	VERB
fsr-3727	64	11	n	n	PRON
fsr-3727	64	12	will	will	AUX
fsr-3727	64	13	survive	survive	VERB
fsr-3727	64	14	one	one	NUM
fsr-3727	64	15	year	year	NOUN
fsr-3727	64	16	to	to	ADP
fsr-3727	64	17	age	age	NOUN
fsr-3727	64	18	n	n	NOUN
fsr-3727	64	19	+	+	NOUN
fsr-3727	64	20	1	1	X
fsr-3727	64	21	.	.	X
fsr-3727	65	1	for	for	ADP
fsr-3727	65	2	the	the	DET
fsr-3727	65	3	first	first	ADJ
fsr-3727	65	4	year	year	NOUN
fsr-3727	65	5	after	after	ADP
fsr-3727	65	6	retirement	retirement	NOUN
fsr-3727	65	7	,	,	PUNCT
fsr-3727	65	8	the	the	DET
fsr-3727	65	9	expected	expect	VERB
fsr-3727	65	10	consumption	consumption	NOUN
fsr-3727	65	11	is	be	AUX
fsr-3727	65	12	then	then	ADV
fsr-3727	65	13	,	,	PUNCT
fsr-3727	65	14	p	p	X
fsr-3727	65	15	,	,	PUNCT
fsr-3727	65	16	.	.	PUNCT
fsr-3727	66	1	c	c	X
fsr-3727	66	2	,	,	PUNCT
fsr-3727	66	3	.	.	PUNCT
fsr-3727	67	1	for	for	ADP
fsr-3727	67	2	the	the	DET
fsr-3727	67	3	second	second	ADJ
fsr-3727	67	4	year	year	NOUN
fsr-3727	67	5	after	after	ADP
fsr-3727	67	6	retirement	retirement	NOUN
fsr-3727	67	7	,	,	PUNCT
fsr-3727	67	8	the	the	DET
fsr-3727	67	9	expected	expect	VERB
fsr-3727	67	10	consumption	consumption	NOUN
fsr-3727	67	11	is	be	AUX
fsr-3727	67	12	*	*	X
fsr-3727	67	13	p	p	NOUN
fsr-3727	67	14	,	,	PUNCT
fsr-3727	67	15	,	,	PUNCT
fsr-3727	67	16	.	.	PUNCT
fsr-3727	68	1	c	c	X
fsr-3727	68	2	,	,	PUNCT
fsr-3727	68	3	.	.	PUNCT
fsr-3727	69	1	if	if	SCONJ
fsr-3727	69	2	the	the	DET
fsr-3727	69	3	mortality	mortality	NOUN
fsr-3727	69	4	table	table	NOUN
fsr-3727	69	5	ends	end	VERB
fsr-3727	69	6	at	at	ADP
fsr-3727	69	7	age	age	NOUN
fsr-3727	69	8	t	t	PROPN
fsr-3727	69	9	,	,	PUNCT
fsr-3727	69	10	the	the	DET
fsr-3727	69	11	expected	expect	VERB
fsr-3727	69	12	consumption	consumption	NOUN
fsr-3727	69	13	time	time	NOUN
fsr-3727	69	14	path	path	NOUN
fsr-3727	69	15	after	after	ADP
fsr-3727	69	16	retirement	retirement	NOUN
fsr-3727	69	17	will	will	AUX
fsr-3727	69	18	be	be	AUX
fsr-3727	69	19	1,p	1,p	NUM
fsr-3727	69	20	;	;	PUNCT
fsr-3727	69	21	c,,,p	c,,,p	NUM
fsr-3727	69	22	;	;	PUNCT
fsr-3727	69	23	c	c	X
fsr-3727	69	24	,	,	PUNCT
fsr-3727	69	25	,	,	PUNCT
fsr-3727	69	26	.	.	PUNCT
fsr-3727	69	27	.	.	PUNCT
fsr-3727	70	1	,	,	PUNCT
fsr-3727	70	2	t_,,pn	t_,,pn	NOUN
fsr-3727	70	3	c	c	NOUN
fsr-3727	70	4	,	,	PUNCT
fsr-3727	70	5	,	,	PUNCT
fsr-3727	70	6	)	)	PUNCT
fsr-3727	70	7	.	.	PUNCT
fsr-3727	71	1	the	the	DET
fsr-3727	71	2	probabilities	probability	NOUN
fsr-3727	71	3	and	and	CCONJ
fsr-3727	71	4	the	the	DET
fsr-3727	71	5	life	life	NOUN
fsr-3727	71	6	expectancy	expectancy	NOUN
fsr-3727	71	7	for	for	ADP
fsr-3727	71	8	any	any	DET
fsr-3727	71	9	given	give	VERB
fsr-3727	71	10	age	age	NOUN
fsr-3727	71	11	can	can	AUX
fsr-3727	71	12	be	be	AUX
fsr-3727	71	13	found	find	VERB
fsr-3727	71	14	in	in	ADP
fsr-3727	71	15	standard	standard	ADJ
fsr-3727	71	16	mortality	mortality	NOUN
fsr-3727	71	17	tables	table	NOUN
fsr-3727	71	18	.	.	PUNCT
fsr-3727	72	1	letting	let	VERB
fsr-3727	72	2	d	d	AUX
fsr-3727	72	3	be	be	AUX
fsr-3727	72	4	one	one	NUM
fsr-3727	72	5	plus	plus	CCONJ
fsr-3727	72	6	the	the	DET
fsr-3727	72	7	minimum	minimum	ADJ
fsr-3727	72	8	rate	rate	NOUN
fsr-3727	72	9	of	of	ADP
fsr-3727	72	10	return	return	NOUN
fsr-3727	72	11	necessary	necessary	ADJ
fsr-3727	72	12	to	to	PART
fsr-3727	72	13	support	support	VERB
fsr-3727	72	14	the	the	DET
fsr-3727	72	15	expected	expect	VERB
fsr-3727	72	16	consumption	consumption	NOUN
fsr-3727	72	17	,	,	PUNCT
fsr-3727	72	18	we	we	PRON
fsr-3727	72	19	have	have	VERB
fsr-3727	72	20	:	:	PUNCT
fsr-3727	72	21	t	t	NOUN
fsr-3727	72	22	-	-	PUNCT
fsr-3727	72	23	npn	npn	NOUN
fsr-3727	72	24	’	'	PUNCT
fsr-3727	72	25	ct	ct	PROPN
fsr-3727	72	26	-	-	PUNCT
fsr-3727	72	27	n	n	NOUN
fsr-3727	72	28	dt-	dt-	ADV
fsr-3727	72	29	”	"	PUNCT
fsr-3727	72	30	’	'	PUNCT
fsr-3727	72	31	given	give	VERB
fsr-3727	72	32	the	the	DET
fsr-3727	72	33	wealth	wealth	NOUN
fsr-3727	72	34	,	,	PUNCT
fsr-3727	72	35	consumption	consumption	NOUN
fsr-3727	72	36	and	and	CCONJ
fsr-3727	72	37	life	life	NOUN
fsr-3727	72	38	expectancies	expectancy	NOUN
fsr-3727	72	39	,	,	PUNCT
fsr-3727	72	40	there	there	PRON
fsr-3727	72	41	is	be	VERB
fsr-3727	72	42	an	an	DET
fsr-3727	72	43	unique	unique	ADJ
fsr-3727	72	44	solution	solution	NOUN
fsr-3727	72	45	for	for	ADP
fsr-3727	72	46	d	d	PROPN
fsr-3727	72	47	,	,	PUNCT
fsr-3727	72	48	which	which	PRON
fsr-3727	72	49	is	be	AUX
fsr-3727	72	50	the	the	DET
fsr-3727	72	51	level	level	NOUN
fsr-3727	72	52	of	of	ADP
fsr-3727	72	53	return	return	NOUN
fsr-3727	72	54	required	require	VERB
fsr-3727	72	55	to	to	PART
fsr-3727	72	56	avoid	avoid	VERB
fsr-3727	72	57	disaster	disaster	NOUN
fsr-3727	72	58	.	.	PUNCT
fsr-3727	73	1	that	that	PRON
fsr-3727	73	2	is	be	AUX
fsr-3727	73	3	,	,	PUNCT
fsr-3727	73	4	d	d	PRON
fsr-3727	73	5	is	be	AUX
fsr-3727	73	6	one	one	NUM
fsr-3727	73	7	plus	plus	CCONJ
fsr-3727	73	8	the	the	DET
fsr-3727	73	9	minimum	minimum	ADJ
fsr-3727	73	10	financial	financial	ADJ
fsr-3727	73	11	services	service	NOUN
fsr-3727	73	12	review	review	NOUN
fsr-3727	73	13	,	,	PUNCT
fsr-3727	73	14	3(2	3(2	NUM
fsr-3727	73	15	)	)	PUNCT
fsr-3727	73	16	1994	1994	NUM
fsr-3727	73	17	rate	rate	NOUN
fsr-3727	73	18	of	of	ADP
fsr-3727	73	19	return	return	NOUN
fsr-3727	73	20	that	that	SCONJ
fsr-3727	73	21	an	an	DET
fsr-3727	73	22	individual	individual	NOUN
fsr-3727	73	23	with	with	ADP
fsr-3727	73	24	initial	initial	ADJ
fsr-3727	73	25	wealth	wealth	NOUN
fsr-3727	73	26	w	w	PROPN
fsr-3727	73	27	must	must	AUX
fsr-3727	73	28	earn	earn	VERB
fsr-3727	73	29	to	to	PART
fsr-3727	73	30	have	have	VERB
fsr-3727	73	31	enough	enough	ADJ
fsr-3727	73	32	to	to	PART
fsr-3727	73	33	consume	consume	VERB
fsr-3727	73	34	c	c	NOUN
fsr-3727	73	35	,	,	PUNCT
fsr-3727	73	36	per	per	ADP
fsr-3727	73	37	annum	annum	NOUN
fsr-3727	73	38	,	,	PUNCT
fsr-3727	73	39	given	give	VERB
fsr-3727	73	40	the	the	DET
fsr-3727	73	41	average	average	ADJ
fsr-3727	73	42	mortality	mortality	NOUN
fsr-3727	73	43	rate	rate	NOUN
fsr-3727	73	44	.	.	PUNCT
fsr-3727	74	1	although	although	SCONJ
fsr-3727	74	2	we	we	PRON
fsr-3727	74	3	will	will	AUX
fsr-3727	74	4	examine	examine	VERB
fsr-3727	74	5	this	this	PRON
fsr-3727	74	6	more	more	ADV
fsr-3727	74	7	formally	formally	ADV
fsr-3727	74	8	later	later	ADV
fsr-3727	74	9	,	,	PUNCT
fsr-3727	74	10	we	we	PRON
fsr-3727	74	11	note	note	VERB
fsr-3727	74	12	that	that	SCONJ
fsr-3727	74	13	the	the	PRON
fsr-3727	74	14	larger	large	ADJ
fsr-3727	74	15	the	the	DET
fsr-3727	74	16	value	value	NOUN
fsr-3727	74	17	of	of	ADP
fsr-3727	74	18	n	n	CCONJ
fsr-3727	74	19	,	,	PUNCT
fsr-3727	74	20	the	the	PRON
fsr-3727	74	21	lower	low	ADJ
fsr-3727	74	22	the	the	DET
fsr-3727	74	23	value	value	NOUN
fsr-3727	74	24	d	d	NOUN
fsr-3727	74	25	for	for	ADP
fsr-3727	74	26	a	a	DET
fsr-3727	74	27	given	give	VERB
fsr-3727	74	28	wand	wand	NOUN
fsr-3727	74	29	c	c	NOUN
fsr-3727	74	30	,	,	PUNCT
fsr-3727	74	31	.	.	PUNCT
fsr-3727	75	1	in	in	ADP
fsr-3727	75	2	other	other	ADJ
fsr-3727	75	3	words	word	NOUN
fsr-3727	75	4	,	,	PUNCT
fsr-3727	75	5	older	old	ADJ
fsr-3727	75	6	individuals	individual	NOUN
fsr-3727	75	7	may	may	AUX
fsr-3727	75	8	earn	earn	VERB
fsr-3727	75	9	less	less	ADJ
fsr-3727	75	10	in	in	ADP
fsr-3727	75	11	order	order	NOUN
fsr-3727	75	12	to	to	PART
fsr-3727	75	13	maintain	maintain	VERB
fsr-3727	75	14	their	their	PRON
fsr-3727	75	15	consumption	consumption	NOUN
fsr-3727	75	16	because	because	SCONJ
fsr-3727	75	17	they	they	PRON
fsr-3727	75	18	have	have	VERB
fsr-3727	75	19	fewer	few	ADJ
fsr-3727	75	20	years	year	NOUN
fsr-3727	75	21	to	to	PART
fsr-3727	75	22	live	live	VERB
fsr-3727	75	23	.	.	PUNCT
fsr-3727	76	1	this	this	PRON
fsr-3727	76	2	is	be	AUX
fsr-3727	76	3	consistent	consistent	ADJ
fsr-3727	76	4	with	with	ADP
fsr-3727	76	5	the	the	DET
fsr-3727	76	6	observation	observation	NOUN
fsr-3727	76	7	that	that	SCONJ
fsr-3727	76	8	older	old	ADJ
fsr-3727	76	9	investors	investor	NOUN
fsr-3727	76	10	usually	usually	ADV
fsr-3727	76	11	invest	invest	VERB
fsr-3727	76	12	more	more	ADV
fsr-3727	76	13	in	in	ADP
fsr-3727	76	14	‘	'	PUNCT
fsr-3727	76	15	safer	safe	ADJ
fsr-3727	76	16	’	'	PUNCT
fsr-3727	76	17	assets	asset	NOUN
fsr-3727	76	18	,	,	PUNCT
fsr-3727	76	19	which	which	PRON
fsr-3727	76	20	provide	provide	VERB
fsr-3727	76	21	lower	low	ADJ
fsr-3727	76	22	rates	rate	NOUN
fsr-3727	76	23	of	of	ADP
fsr-3727	76	24	return	return	NOUN
fsr-3727	76	25	.	.	PUNCT
fsr-3727	77	1	our	our	PRON
fsr-3727	77	2	analysis	analysis	NOUN
fsr-3727	77	3	provides	provide	VERB
fsr-3727	77	4	an	an	DET
fsr-3727	77	5	explicit	explicit	ADJ
fsr-3727	77	6	way	way	NOUN
fsr-3727	77	7	to	to	PART
fsr-3727	77	8	determine	determine	VERB
fsr-3727	77	9	when	when	SCONJ
fsr-3727	77	10	they	they	PRON
fsr-3727	77	11	should	should	AUX
fsr-3727	77	12	switch	switch	VERB
fsr-3727	77	13	to	to	ADP
fsr-3727	77	14	‘	'	PUNCT
fsr-3727	77	15	safer	safe	ADJ
fsr-3727	77	16	’	'	PUNCT
fsr-3727	77	17	assets	asset	NOUN
fsr-3727	77	18	.	.	PUNCT
fsr-3727	78	1	if	if	SCONJ
fsr-3727	78	2	we	we	PRON
fsr-3727	78	3	perform	perform	VERB
fsr-3727	78	4	the	the	DET
fsr-3727	78	5	analysis	analysis	NOUN
fsr-3727	78	6	in	in	ADP
fsr-3727	78	7	real	real	ADJ
fsr-3727	78	8	dollars	dollar	NOUN
fsr-3727	78	9	,	,	PUNCT
fsr-3727	78	10	which	which	PRON
fsr-3727	78	11	is	be	AUX
fsr-3727	78	12	equivalent	equivalent	ADJ
fsr-3727	78	13	to	to	ADP
fsr-3727	78	14	assuming	assume	VERB
fsr-3727	78	15	that	that	SCONJ
fsr-3727	78	16	the	the	DET
fsr-3727	78	17	level	level	NOUN
fsr-3727	78	18	of	of	ADP
fsr-3727	78	19	inflation	inflation	NOUN
fsr-3727	78	20	is	be	AUX
fsr-3727	78	21	certain	certain	ADJ
fsr-3727	78	22	,	,	PUNCT
fsr-3727	78	23	then	then	ADV
fsr-3727	78	24	c	c	AUX
fsr-3727	78	25	,	,	PUNCT
fsr-3727	78	26	is	be	AUX
fsr-3727	78	27	a	a	DET
fsr-3727	78	28	constant	constant	ADJ
fsr-3727	78	29	,	,	PUNCT
fsr-3727	78	30	c.6	c.6	NOUN
fsr-3727	78	31	we	we	PRON
fsr-3727	78	32	can	can	AUX
fsr-3727	78	33	simplify	simplify	VERB
fsr-3727	78	34	equation	equation	NOUN
fsr-3727	78	35	(	(	PUNCT
fsr-3727	78	36	1	1	NUM
fsr-3727	78	37	)	)	PUNCT
fsr-3727	78	38	for	for	ADP
fsr-3727	78	39	computation	computation	NOUN
fsr-3727	78	40	purposes	purpose	NOUN
fsr-3727	78	41	to	to	ADP
fsr-3727	78	42	:	:	PUNCT
fsr-3727	78	43	p	p	X
fsr-3727	78	44	p	p	NOUN
fsr-3727	78	45	w	w	NOUN
fsr-3727	78	46	=	=	NOUN
fsr-3727	78	47	ln+2	ln+2	NOUN
fsr-3727	78	48	+	+	NOUN
fsr-3727	78	49	*	*	NOUN
fsr-3727	78	50	.	.	PUNCT
fsr-3727	79	1	.+	.+	PROPN
fsr-3727	79	2	t	t	PROPN
fsr-3727	79	3	-	-	PUNCT
fsr-3727	79	4	npn	npn	NOUN
fsr-3727	79	5	c	c	PROPN
fsr-3727	79	6	d	d	PROPN
fsr-3727	79	7	d2	d2	PROPN
fsr-3727	79	8	dr_n	dr_n	PROPN
fsr-3727	79	9	(	(	PUNCT
fsr-3727	79	10	2	2	NUM
fsr-3727	79	11	)	)	PUNCT
fsr-3727	79	12	the	the	DET
fsr-3727	79	13	solution	solution	NOUN
fsr-3727	79	14	d	d	NOUN
fsr-3727	79	15	is	be	AUX
fsr-3727	79	16	now	now	ADV
fsr-3727	79	17	in	in	ADP
fsr-3727	79	18	real	real	ADJ
fsr-3727	79	19	terms	term	NOUN
fsr-3727	79	20	.	.	PUNCT
fsr-3727	80	1	we	we	PRON
fsr-3727	80	2	use	use	VERB
fsr-3727	80	3	constant	constant	ADJ
fsr-3727	80	4	dollars	dollar	NOUN
fsr-3727	80	5	and	and	CCONJ
fsr-3727	80	6	real	real	ADJ
fsr-3727	80	7	rates	rate	NOUN
fsr-3727	80	8	of	of	ADP
fsr-3727	80	9	return	return	NOUN
fsr-3727	80	10	in	in	ADP
fsr-3727	80	11	our	our	PRON
fsr-3727	80	12	numerical	numerical	ADJ
fsr-3727	80	13	illustrations	illustration	NOUN
fsr-3727	80	14	in	in	ADP
fsr-3727	80	15	a	a	DET
fsr-3727	80	16	later	later	ADJ
fsr-3727	80	17	section	section	NOUN
fsr-3727	80	18	for	for	ADP
fsr-3727	80	19	ease	ease	NOUN
fsr-3727	80	20	of	of	ADP
fsr-3727	80	21	exposition	exposition	NOUN
fsr-3727	80	22	,	,	PUNCT
fsr-3727	80	23	but	but	CCONJ
fsr-3727	80	24	the	the	DET
fsr-3727	80	25	theoretical	theoretical	ADJ
fsr-3727	80	26	development	development	NOUN
fsr-3727	80	27	is	be	AUX
fsr-3727	80	28	the	the	DET
fsr-3727	80	29	same	same	ADJ
fsr-3727	80	30	.	.	PUNCT
fsr-3727	81	1	without	without	ADP
fsr-3727	81	2	loss	loss	NOUN
fsr-3727	81	3	of	of	ADP
fsr-3727	81	4	generality	generality	NOUN
fsr-3727	81	5	,	,	PUNCT
fsr-3727	81	6	we	we	PRON
fsr-3727	81	7	assume	assume	VERB
fsr-3727	81	8	that	that	SCONJ
fsr-3727	81	9	there	there	PRON
fsr-3727	81	10	are	be	VERB
fsr-3727	81	11	two	two	NUM
fsr-3727	81	12	assets	asset	NOUN
fsr-3727	81	13	:	:	PUNCT
fsr-3727	81	14	treasury	treasury	NOUN
fsr-3727	81	15	bills	bill	NOUN
fsr-3727	81	16	(	(	PUNCT
fsr-3727	81	17	t	t	NOUN
fsr-3727	81	18	-	-	PUNCT
fsr-3727	81	19	bills	bill	NOUN
fsr-3727	81	20	)	)	PUNCT
fsr-3727	81	21	and	and	CCONJ
fsr-3727	81	22	a	a	DET
fsr-3727	81	23	diversified	diversified	ADJ
fsr-3727	81	24	equity	equity	NOUN
fsr-3727	81	25	portfolio	portfolio	NOUN
fsr-3727	81	26	.	.	PUNCT
fsr-3727	82	1	the	the	DET
fsr-3727	82	2	individual	individual	ADJ
fsr-3727	82	3	allocates	allocate	VERB
fsr-3727	82	4	w	w	NOUN
fsr-3727	82	5	between	between	ADP
fsr-3727	82	6	the	the	DET
fsr-3727	82	7	two	two	NUM
fsr-3727	82	8	.	.	PUNCT
fsr-3727	83	1	t	t	NOUN
fsr-3727	83	2	-	-	PUNCT
fsr-3727	83	3	bills	bill	NOUN
fsr-3727	83	4	are	be	AUX
fsr-3727	83	5	free	free	ADJ
fsr-3727	83	6	from	from	ADP
fsr-3727	83	7	default	default	NOUN
fsr-3727	83	8	risk	risk	NOUN
fsr-3727	83	9	,	,	PUNCT
fsr-3727	83	10	but	but	CCONJ
fsr-3727	83	11	not	not	PART
fsr-3727	83	12	from	from	ADP
fsr-3727	83	13	interest	interest	NOUN
fsr-3727	83	14	-	-	PUNCT
fsr-3727	83	15	rate	rate	NOUN
fsr-3727	83	16	risk	risk	NOUN
fsr-3727	83	17	in	in	ADP
fsr-3727	83	18	the	the	DET
fsr-3727	83	19	long	long	ADV
fsr-3727	83	20	-	-	PUNCT
fsr-3727	83	21	run	run	NOUN
fsr-3727	83	22	.	.	PUNCT
fsr-3727	84	1	a	a	DET
fsr-3727	84	2	security	security	NOUN
fsr-3727	84	3	is	be	AUX
fsr-3727	84	4	completely	completely	ADV
fsr-3727	84	5	risk	risk	NOUN
fsr-3727	84	6	-	-	PUNCT
fsr-3727	84	7	free	free	ADJ
fsr-3727	84	8	only	only	ADV
fsr-3727	84	9	if	if	SCONJ
fsr-3727	84	10	it	it	PRON
fsr-3727	84	11	pays	pay	VERB
fsr-3727	84	12	off	off	ADP
fsr-3727	84	13	a	a	DET
fsr-3727	84	14	known	know	VERB
fsr-3727	84	15	and	and	CCONJ
fsr-3727	84	16	certain	certain	ADJ
fsr-3727	84	17	amount	amount	NOUN
fsr-3727	84	18	of	of	ADP
fsr-3727	84	19	consumption	consumption	NOUN
fsr-3727	84	20	at	at	ADP
fsr-3727	84	21	exactly	exactly	ADV
fsr-3727	84	22	the	the	DET
fsr-3727	84	23	date	date	NOUN
fsr-3727	84	24	required	require	VERB
fsr-3727	84	25	by	by	ADP
fsr-3727	84	26	the	the	DET
fsr-3727	84	27	investor	investor	NOUN
fsr-3727	84	28	.	.	PUNCT
fsr-3727	85	1	an	an	DET
fsr-3727	85	2	important	important	ADJ
fsr-3727	85	3	point	point	NOUN
fsr-3727	85	4	to	to	PART
fsr-3727	85	5	note	note	VERB
fsr-3727	85	6	is	be	AUX
fsr-3727	85	7	that	that	SCONJ
fsr-3727	85	8	t	t	NOUN
fsr-3727	85	9	-	-	PUNCT
fsr-3727	85	10	bills	bill	NOUN
fsr-3727	85	11	are	be	AUX
fsr-3727	85	12	risky	risky	ADJ
fsr-3727	85	13	,	,	PUNCT
fsr-3727	85	14	in	in	ADP
fsr-3727	85	15	the	the	DET
fsr-3727	85	16	sense	sense	NOUN
fsr-3727	85	17	that	that	SCONJ
fsr-3727	85	18	they	they	PRON
fsr-3727	85	19	have	have	AUX
fsr-3727	85	20	a	a	DET
fsr-3727	85	21	standard	standard	ADJ
fsr-3727	85	22	deviation	deviation	NOUN
fsr-3727	85	23	in	in	ADP
fsr-3727	85	24	either	either	CCONJ
fsr-3727	85	25	real	real	ADJ
fsr-3727	85	26	or	or	CCONJ
fsr-3727	85	27	nominal	nominal	ADJ
fsr-3727	85	28	returns	return	NOUN
fsr-3727	85	29	.	.	PUNCT
fsr-3727	86	1	a	a	DET
fsr-3727	86	2	person	person	NOUN
fsr-3727	86	3	who	who	PRON
fsr-3727	86	4	holds	hold	VERB
fsr-3727	86	5	a	a	DET
fsr-3727	86	6	t	t	NOUN
fsr-3727	86	7	-	-	PUNCT
fsr-3727	86	8	bill	bill	NOUN
fsr-3727	86	9	until	until	SCONJ
fsr-3727	86	10	maturity	maturity	NOUN
fsr-3727	86	11	will	will	AUX
fsr-3727	86	12	get	get	VERB
fsr-3727	86	13	exactly	exactly	ADV
fsr-3727	86	14	the	the	DET
fsr-3727	86	15	promised	promise	VERB
fsr-3727	86	16	rate	rate	NOUN
fsr-3727	86	17	of	of	ADP
fsr-3727	86	18	return	return	NOUN
fsr-3727	86	19	,	,	PUNCT
fsr-3727	86	20	but	but	CCONJ
fsr-3727	86	21	if	if	SCONJ
fsr-3727	86	22	inflation	inflation	NOUN
fsr-3727	86	23	changes	change	VERB
fsr-3727	86	24	during	during	ADP
fsr-3727	86	25	the	the	DET
fsr-3727	86	26	period	period	NOUN
fsr-3727	86	27	,	,	PUNCT
fsr-3727	86	28	the	the	DET
fsr-3727	86	29	return	return	NOUN
fsr-3727	86	30	is	be	AUX
fsr-3727	86	31	risky	risky	ADJ
fsr-3727	86	32	in	in	ADP
fsr-3727	86	33	terms	term	NOUN
fsr-3727	86	34	of	of	ADP
fsr-3727	86	35	the	the	DET
fsr-3727	86	36	consumption	consumption	NOUN
fsr-3727	86	37	it	it	PRON
fsr-3727	86	38	permits	permit	VERB
fsr-3727	86	39	.	.	PUNCT
fsr-3727	87	1	empirically	empirically	ADV
fsr-3727	87	2	,	,	PUNCT
fsr-3727	87	3	we	we	PRON
fsr-3727	87	4	observe	observe	VERB
fsr-3727	87	5	that	that	SCONJ
fsr-3727	87	6	the	the	DET
fsr-3727	87	7	time	time	NOUN
fsr-3727	87	8	series	series	NOUN
fsr-3727	87	9	of	of	ADP
fsr-3727	87	10	real	real	ADJ
fsr-3727	87	11	t	t	PROPN
fsr-3727	87	12	-	-	PUNCT
fsr-3727	87	13	bill	bill	NOUN
fsr-3727	87	14	rates	rate	NOUN
fsr-3727	87	15	has	have	VERB
fsr-3727	87	16	significant	significant	ADJ
fsr-3727	87	17	variability	variability	NOUN
fsr-3727	87	18	.	.	PUNCT
fsr-3727	88	1	we	we	PRON
fsr-3727	88	2	treat	treat	VERB
fsr-3727	88	3	the	the	DET
fsr-3727	88	4	t	t	PROPN
fsr-3727	88	5	-	-	PUNCT
fsr-3727	88	6	bill	bill	NOUN
fsr-3727	88	7	rate	rate	NOUN
fsr-3727	88	8	of	of	ADP
fsr-3727	88	9	return	return	NOUN
fsr-3727	88	10	as	as	ADP
fsr-3727	88	11	a	a	DET
fsr-3727	88	12	random	random	ADJ
fsr-3727	88	13	variable	variable	NOUN
fsr-3727	88	14	,	,	PUNCT
fsr-3727	88	15	and	and	CCONJ
fsr-3727	88	16	hence	hence	ADV
fsr-3727	88	17	even	even	ADV
fsr-3727	88	18	a	a	DET
fsr-3727	88	19	portfolio	portfolio	NOUN
fsr-3727	88	20	invested	invest	VERB
fsr-3727	88	21	100	100	NUM
fsr-3727	88	22	percent	percent	NOUN
fsr-3727	88	23	in	in	ADP
fsr-3727	88	24	t	t	PROPN
fsr-3727	88	25	-	-	PUNCT
fsr-3727	88	26	bills	bill	NOUN
fsr-3727	88	27	has	have	VERB
fsr-3727	88	28	some	some	DET
fsr-3727	88	29	risk	risk	NOUN
fsr-3727	88	30	.	.	PUNCT
fsr-3727	89	1	the	the	DET
fsr-3727	89	2	investor	investor	NOUN
fsr-3727	89	3	must	must	AUX
fsr-3727	89	4	redo	redo	VERB
fsr-3727	89	5	the	the	DET
fsr-3727	89	6	calculations	calculation	NOUN
fsr-3727	89	7	and	and	CCONJ
fsr-3727	89	8	rebalance	rebalance	NOUN
fsr-3727	89	9	the	the	DET
fsr-3727	89	10	portfolio	portfolio	NOUN
fsr-3727	89	11	periodically	periodically	ADV
fsr-3727	89	12	because	because	SCONJ
fsr-3727	89	13	the	the	DET
fsr-3727	89	14	required	require	VERB
fsr-3727	89	15	d	d	NOUN
fsr-3727	89	16	changes	change	NOUN
fsr-3727	89	17	as	as	ADP
fsr-3727	89	18	one	one	NUM
fsr-3727	89	19	ages	age	NOUN
fsr-3727	89	20	.	.	PUNCT
fsr-3727	90	1	in	in	ADP
fsr-3727	90	2	practical	practical	ADJ
fsr-3727	90	3	terms	term	NOUN
fsr-3727	90	4	,	,	PUNCT
fsr-3727	90	5	annual	annual	ADJ
fsr-3727	90	6	rebalancing	rebalancing	NOUN
fsr-3727	90	7	seems	seem	VERB
fsr-3727	90	8	reasonable	reasonable	ADJ
fsr-3727	90	9	,	,	PUNCT
fsr-3727	90	10	since	since	SCONJ
fsr-3727	90	11	mortality	mortality	NOUN
fsr-3727	90	12	tables	table	NOUN
fsr-3727	90	13	report	report	VERB
fsr-3727	90	14	one	one	NUM
fsr-3727	90	15	year	year	NOUN
fsr-3727	90	16	age	age	NOUN
fsr-3727	90	17	differences	difference	NOUN
fsr-3727	90	18	.	.	PUNCT
fsr-3727	91	1	an	an	DET
fsr-3727	91	2	analytic	analytic	ADJ
fsr-3727	91	3	solution	solution	NOUN
fsr-3727	91	4	the	the	DET
fsr-3727	91	5	individual	individual	NOUN
fsr-3727	91	6	’s	’s	PART
fsr-3727	91	7	problem	problem	NOUN
fsr-3727	91	8	is	be	AUX
fsr-3727	91	9	to	to	PART
fsr-3727	91	10	allocate	allocate	VERB
fsr-3727	91	11	wbetween	wbetween	PROPN
fsr-3727	91	12	t	t	PROPN
fsr-3727	91	13	-	-	PUNCT
fsr-3727	91	14	bills	bill	NOUN
fsr-3727	91	15	and	and	CCONJ
fsr-3727	91	16	shares	share	NOUN
fsr-3727	91	17	so	so	SCONJ
fsr-3727	91	18	as	as	SCONJ
fsr-3727	91	19	to	to	PART
fsr-3727	91	20	minimize	minimize	VERB
fsr-3727	91	21	the	the	DET
fsr-3727	91	22	probability	probability	NOUN
fsr-3727	91	23	of	of	ADP
fsr-3727	91	24	failing	fail	VERB
fsr-3727	91	25	to	to	PART
fsr-3727	91	26	earn	earn	VERB
fsr-3727	91	27	the	the	DET
fsr-3727	91	28	minimum	minimum	ADJ
fsr-3727	91	29	gross	gross	ADJ
fsr-3727	91	30	rate	rate	NOUN
fsr-3727	91	31	of	of	ADP
fsr-3727	91	32	return	return	NOUN
fsr-3727	91	33	d	d	PROPN
fsr-3727	91	34	on	on	ADP
fsr-3727	91	35	average	average	ADJ
fsr-3727	91	36	over	over	ADP
fsr-3727	91	37	the	the	DET
fsr-3727	91	38	remaining	remain	VERB
fsr-3727	91	39	years	year	NOUN
fsr-3727	91	40	of	of	ADP
fsr-3727	91	41	one	one	NUM
fsr-3727	91	42	’s	’s	PART
fsr-3727	91	43	life	life	NOUN
fsr-3727	91	44	.	.	PUNCT
fsr-3727	92	1	we	we	PRON
fsr-3727	92	2	assume	assume	VERB
fsr-3727	92	3	:	:	PUNCT
fsr-3727	92	4	1	1	X
fsr-3727	92	5	.	.	X
fsr-3727	92	6	rates	rate	NOUN
fsr-3727	92	7	of	of	ADP
fsr-3727	92	8	return	return	NOUN
fsr-3727	92	9	on	on	ADP
fsr-3727	92	10	equity	equity	NOUN
fsr-3727	92	11	and	and	CCONJ
fsr-3727	92	12	treasury	treasury	PROPN
fsr-3727	92	13	bills	bill	NOUN
fsr-3727	92	14	,	,	PUNCT
fsr-3727	92	15	are	be	AUX
fsr-3727	92	16	normally	normally	ADV
fsr-3727	92	17	(	(	PUNCT
fsr-3727	92	18	as	as	SCONJ
fsr-3727	92	19	opposed	oppose	VERB
fsr-3727	92	20	to	to	ADP
fsr-3727	92	21	lognor	lognor	NOUN
fsr-3727	92	22	mally	mally	ADV
fsr-3727	92	23	)	)	PUNCT
fsr-3727	92	24	distributed	distribute	VERB
fsr-3727	92	25	.	.	PUNCT
fsr-3727	93	1	this	this	DET
fsr-3727	93	2	assumption	assumption	NOUN
fsr-3727	93	3	is	be	AUX
fsr-3727	93	4	not	not	PART
fsr-3727	93	5	crucial	crucial	ADJ
fsr-3727	93	6	for	for	ADP
fsr-3727	93	7	optimal	optimal	ADJ
fsr-3727	93	8	results	result	NOUN
fsr-3727	93	9	,	,	PUNCT
fsr-3727	93	10	however	however	ADV
fsr-3727	93	11	it	it	PRON
fsr-3727	93	12	enables	enable	VERB
fsr-3727	93	13	us	we	PRON
fsr-3727	93	14	to	to	PART
fsr-3727	93	15	secure	secure	VERB
fsr-3727	93	16	an	an	DET
fsr-3727	93	17	analytic	analytic	ADJ
fsr-3727	93	18	solution	solution	NOUN
fsr-3727	93	19	to	to	ADP
fsr-3727	93	20	our	our	PRON
fsr-3727	93	21	problem	problem	NOUN
fsr-3727	93	22	.	.	PUNCT
fsr-3727	94	1	2	2	X
fsr-3727	94	2	.	.	X
fsr-3727	94	3	rates	rate	NOUN
fsr-3727	94	4	of	of	ADP
fsr-3727	94	5	return	return	NOUN
fsr-3727	94	6	on	on	ADP
fsr-3727	94	7	each	each	DET
fsr-3727	94	8	asset	asset	NOUN
fsr-3727	94	9	are	be	AUX
fsr-3727	94	10	serially	serially	ADV
fsr-3727	94	11	uncorrelated	uncorrelate	VERB
fsr-3727	94	12	.	.	PUNCT
fsr-3727	95	1	thus	thus	ADV
fsr-3727	95	2	,	,	PUNCT
fsr-3727	95	3	we	we	PRON
fsr-3727	95	4	consider	consider	VERB
fsr-3727	95	5	a	a	DET
fsr-3727	95	6	series	series	NOUN
fsr-3727	95	7	of	of	ADP
fsr-3727	95	8	decisions	decision	NOUN
fsr-3727	95	9	in	in	ADP
fsr-3727	95	10	a	a	DET
fsr-3727	95	11	static	static	ADJ
fsr-3727	95	12	framework	framework	NOUN
fsr-3727	95	13	,	,	PUNCT
fsr-3727	95	14	without	without	ADP
fsr-3727	95	15	the	the	DET
fsr-3727	95	16	dynamic	dynamic	ADJ
fsr-3727	95	17	consideration	consideration	NOUN
fsr-3727	95	18	of	of	ADP
fsr-3727	95	19	what	what	PRON
fsr-3727	95	20	they	they	PRON
fsr-3727	95	21	will	will	AUX
fsr-3727	95	22	do	do	AUX
fsr-3727	95	23	each	each	DET
fsr-3727	95	24	year	year	NOUN
fsr-3727	95	25	when	when	SCONJ
fsr-3727	95	26	they	they	PRON
fsr-3727	95	27	come	come	VERB
fsr-3727	95	28	to	to	PART
fsr-3727	95	29	rebalance	rebalance	VERB
fsr-3727	95	30	their	their	PRON
fsr-3727	95	31	portfolios	portfolio	NOUN
fsr-3727	95	32	.	.	PUNCT
fsr-3727	96	1	3	3	X
fsr-3727	96	2	.	.	X
fsr-3727	96	3	returns	return	NOUN
fsr-3727	96	4	on	on	ADP
fsr-3727	96	5	each	each	DET
fsr-3727	96	6	asset	asset	NOUN
fsr-3727	96	7	are	be	AUX
fsr-3727	96	8	uncorrelated	uncorrelate	VERB
fsr-3727	96	9	with	with	ADP
fsr-3727	96	10	the	the	DET
fsr-3727	96	11	other	other	ADJ
fsr-3727	96	12	.	.	PUNCT
fsr-3727	97	1	this	this	DET
fsr-3727	97	2	assumption	assumption	NOUN
fsr-3727	97	3	can	can	AUX
fsr-3727	97	4	be	be	AUX
fsr-3727	97	5	relaxed	relax	VERB
fsr-3727	97	6	,	,	PUNCT
fsr-3727	97	7	and	and	CCONJ
fsr-3727	97	8	a	a	DET
fsr-3727	97	9	solution	solution	NOUN
fsr-3727	97	10	is	be	AUX
fsr-3727	97	11	given	give	VERB
fsr-3727	97	12	in	in	ADP
fsr-3727	97	13	the	the	DET
fsr-3727	97	14	appendix	appendix	NOUN
fsr-3727	97	15	.	.	PUNCT
fsr-3727	98	1	asset	asset	NOUN
fsr-3727	98	2	allocation	allocation	NOUN
fsr-3727	98	3	,	,	PUNCT
fsr-3727	98	4	life	life	NOUN
fsr-3727	98	5	expectancy	expectancy	NOUN
fsr-3727	98	6	and	and	CCONJ
fsr-3727	98	7	shortfall	shortfall	NOUN
fsr-3727	98	8	let	let	VERB
fsr-3727	98	9	us	we	PRON
fsr-3727	98	10	use	use	VERB
fsr-3727	98	11	the	the	DET
fsr-3727	98	12	following	follow	VERB
fsr-3727	98	13	notation	notation	NOUN
fsr-3727	98	14	and	and	CCONJ
fsr-3727	98	15	terminology	terminology	NOUN
fsr-3727	98	16	:	:	PUNCT
fsr-3727	98	17	113	113	NUM
fsr-3727	98	18	a	a	PRON
fsr-3727	98	19	is	be	AUX
fsr-3727	98	20	the	the	DET
fsr-3727	98	21	proportion	proportion	NOUN
fsr-3727	98	22	of	of	ADP
fsr-3727	98	23	w	w	NOUN
fsr-3727	98	24	invested	invest	VERB
fsr-3727	98	25	in	in	ADP
fsr-3727	98	26	t	t	PROPN
fsr-3727	98	27	-	-	PUNCT
fsr-3727	98	28	bills	bill	NOUN
fsr-3727	98	29	pln	pln	PROPN
fsr-3727	98	30	is	be	AUX
fsr-3727	98	31	the	the	DET
fsr-3727	98	32	average	average	ADJ
fsr-3727	98	33	annual	annual	ADJ
fsr-3727	98	34	one	one	NUM
fsr-3727	98	35	plus	plus	CCONJ
fsr-3727	98	36	rate	rate	NOUN
fsr-3727	98	37	of	of	ADP
fsr-3727	98	38	return	return	NOUN
fsr-3727	98	39	on	on	ADP
fsr-3727	98	40	treasury	treasury	NOUN
fsr-3727	98	41	bills	bill	NOUN
fsr-3727	98	42	,	,	PUNCT
fsr-3727	98	43	(	(	PUNCT
fsr-3727	98	44	or	or	CCONJ
fsr-3727	98	45	any	any	DET
fsr-3727	98	46	other	other	ADJ
fsr-3727	98	47	relatively	relatively	ADV
fsr-3727	98	48	safe	safe	ADJ
fsr-3727	98	49	investment	investment	NOUN
fsr-3727	98	50	.	.	PUNCT
fsr-3727	98	51	)	)	PUNCT
fsr-3727	99	1	of	of	ADP
fsr-3727	99	2	,	,	PUNCT
fsr-3727	99	3	is	be	AUX
fsr-3727	99	4	the	the	DET
fsr-3727	99	5	variance	variance	NOUN
fsr-3727	99	6	of	of	ADP
fsr-3727	99	7	the	the	DET
fsr-3727	99	8	annual	annual	ADJ
fsr-3727	99	9	rate	rate	NOUN
fsr-3727	99	10	of	of	ADP
fsr-3727	99	11	return	return	NOUN
fsr-3727	99	12	on	on	ADP
fsr-3727	99	13	treasury	treasury	NOUN
fsr-3727	99	14	bills	bill	NOUN
fsr-3727	99	15	.	.	PUNCT
fsr-3727	100	1	pe4	pe4	NOUN
fsr-3727	100	2	is	be	AUX
fsr-3727	100	3	the	the	DET
fsr-3727	100	4	average	average	ADJ
fsr-3727	100	5	annual	annual	ADJ
fsr-3727	100	6	one	one	NUM
fsr-3727	100	7	plus	plus	CCONJ
fsr-3727	100	8	rate	rate	NOUN
fsr-3727	100	9	of	of	ADP
fsr-3727	100	10	return	return	NOUN
fsr-3727	100	11	on	on	ADP
fsr-3727	100	12	equity	equity	NOUN
fsr-3727	100	13	,	,	PUNCT
fsr-3727	100	14	(	(	PUNCT
fsr-3727	100	15	or	or	CCONJ
fsr-3727	100	16	any	any	DET
fsr-3727	100	17	other	other	ADJ
fsr-3727	100	18	relatively	relatively	ADV
fsr-3727	100	19	risky	risky	ADJ
fsr-3727	100	20	investment	investment	NOUN
fsr-3727	100	21	.	.	PUNCT
fsr-3727	100	22	)	)	PUNCT
fsr-3727	101	1	cy	cy	PROPN
fsr-3727	101	2	&	&	CCONJ
fsr-3727	101	3	is	be	AUX
fsr-3727	101	4	the	the	DET
fsr-3727	101	5	variance	variance	NOUN
fsr-3727	101	6	of	of	ADP
fsr-3727	101	7	the	the	DET
fsr-3727	101	8	annual	annual	ADJ
fsr-3727	101	9	rate	rate	NOUN
fsr-3727	101	10	of	of	ADP
fsr-3727	101	11	return	return	NOUN
fsr-3727	101	12	on	on	ADP
fsr-3727	101	13	equity	equity	NOUN
fsr-3727	101	14	.	.	PUNCT
fsr-3727	102	1	denote	denote	VERB
fsr-3727	102	2	by	by	ADP
fsr-3727	102	3	:	:	PUNCT
fsr-3727	102	4	clp(a)=cltr.a+cl	clp(a)=cltr.a+cl	ADJ
fsr-3727	102	5	,	,	PUNCT
fsr-3727	102	6	q.(l	q.(l	NOUN
fsr-3727	102	7	--	--	PUNCT
fsr-3727	102	8	o1	o1	NOUN
fsr-3727	102	9	)	)	PUNCT
fsr-3727	102	10	(	(	PUNCT
fsr-3727	102	11	3	3	X
fsr-3727	102	12	)	)	PUNCT
fsr-3727	102	13	~~(a)=~~~.az+a$.(l	~~(a)=~~~.az+a$.(l	NOUN
fsr-3727	102	14	-	-	PUNCT
fsr-3727	102	15	cl	cl	NOUN
fsr-3727	102	16	)	)	PUNCT
fsr-3727	102	17	*	*	PUNCT
fsr-3727	102	18	(	(	PUNCT
fsr-3727	102	19	4	4	X
fsr-3727	102	20	)	)	PUNCT
fsr-3727	102	21	which	which	PRON
fsr-3727	102	22	represents	represent	VERB
fsr-3727	102	23	the	the	DET
fsr-3727	102	24	mean	mean	NOUN
fsr-3727	102	25	and	and	CCONJ
fsr-3727	102	26	variance	variance	NOUN
fsr-3727	102	27	of	of	ADP
fsr-3727	102	28	the	the	DET
fsr-3727	102	29	rate	rate	NOUN
fsr-3727	102	30	of	of	ADP
fsr-3727	102	31	return	return	NOUN
fsr-3727	102	32	(	(	PUNCT
fsr-3727	102	33	which	which	PRON
fsr-3727	102	34	is	be	AUX
fsr-3727	102	35	normally	normally	ADV
fsr-3727	102	36	distributed	distribute	VERB
fsr-3727	102	37	)	)	PUNCT
fsr-3727	102	38	,	,	PUNCT
fsr-3727	102	39	of	of	ADP
fsr-3727	102	40	the	the	DET
fsr-3727	102	41	investor	investor	NOUN
fsr-3727	102	42	’s	’s	PART
fsr-3727	102	43	portfolio	portfolio	NOUN
fsr-3727	102	44	,	,	PUNCT
fsr-3727	102	45	assuming	assume	VERB
fsr-3727	102	46	that	that	SCONJ
fsr-3727	102	47	he	he	PRON
fsr-3727	102	48	has	have	AUX
fsr-3727	102	49	placed	place	VERB
fsr-3727	102	50	a	a	DET
fsr-3727	102	51	proportion	proportion	NOUN
fsr-3727	102	52	01	01	NUM
fsr-3727	102	53	,	,	PUNCT
fsr-3727	102	54	of	of	ADP
fsr-3727	102	55	his	his	PRON
fsr-3727	102	56	wealth	wealth	NOUN
fsr-3727	102	57	,	,	PUNCT
fsr-3727	102	58	in	in	ADP
fsr-3727	102	59	treasury	treasury	NOUN
fsr-3727	102	60	bills	bill	NOUN
fsr-3727	102	61	,	,	PUNCT
fsr-3727	102	62	and	and	CCONJ
fsr-3727	102	63	a	a	DET
fsr-3727	102	64	proportion	proportion	NOUN
fsr-3727	102	65	1	1	NUM
fsr-3727	102	66	a	a	PRON
fsr-3727	102	67	in	in	ADP
fsr-3727	102	68	equity	equity	NOUN
fsr-3727	102	69	.	.	PUNCT
fsr-3727	103	1	for	for	ADP
fsr-3727	103	2	a	a	DET
fsr-3727	103	3	given	give	VERB
fsr-3727	103	4	i	i	PRON
fsr-3727	103	5	&	&	CCONJ
fsr-3727	103	6	,	,	PUNCT
fsr-3727	103	7	i	i	PROPN
fsr-3727	103	8	&	&	CCONJ
fsr-3727	103	9	,	,	PUNCT
fsr-3727	103	10	oy	oy	PROPN
fsr-3727	103	11	,	,	PUNCT
fsr-3727	103	12	,	,	PUNCT
fsr-3727	103	13	o	o	NOUN
fsr-3727	103	14	&	&	CCONJ
fsr-3727	103	15	we	we	PRON
fsr-3727	103	16	are	be	AUX
fsr-3727	103	17	looking	look	VERB
fsr-3727	103	18	for	for	ADP
fsr-3727	103	19	an	an	DET
fsr-3727	103	20	asset	asset	NOUN
fsr-3727	103	21	allocation	allocation	NOUN
fsr-3727	103	22	proportion	proportion	NOUN
fsr-3727	103	23	a	a	PRON
fsr-3727	103	24	’	'	PUNCT
fsr-3727	103	25	that	that	PRON
fsr-3727	103	26	will	will	AUX
fsr-3727	103	27	minimize	minimize	VERB
fsr-3727	103	28	the	the	DET
fsr-3727	103	29	probability	probability	NOUN
fsr-3727	103	30	of	of	ADP
fsr-3727	103	31	earning	earn	VERB
fsr-3727	103	32	an	an	DET
fsr-3727	103	33	annual	annual	ADJ
fsr-3727	103	34	rate	rate	NOUN
fsr-3727	103	35	of	of	ADP
fsr-3727	103	36	return	return	NOUN
fsr-3727	103	37	that	that	PRON
fsr-3727	103	38	is	be	AUX
fsr-3727	103	39	less	less	ADJ
fsr-3727	103	40	than	than	ADP
fsr-3727	103	41	the	the	DET
fsr-3727	103	42	required	require	VERB
fsr-3727	103	43	rate	rate	NOUN
fsr-3727	103	44	d.	d.	PROPN
fsr-3727	103	45	thus	thus	ADV
fsr-3727	103	46	,	,	PUNCT
fsr-3727	103	47	we	we	PRON
fsr-3727	103	48	are	be	AUX
fsr-3727	103	49	trying	try	VERB
fsr-3727	103	50	to	to	PART
fsr-3727	103	51	solve	solve	VERB
fsr-3727	103	52	the	the	DET
fsr-3727	103	53	following	follow	VERB
fsr-3727	103	54	stochastic	stochastic	ADJ
fsr-3727	103	55	optimization	optimization	NOUN
fsr-3727	103	56	problem	problem	NOUN
fsr-3727	103	57	:	:	PUNCT
fsr-3727	104	1	s.t	s.t	PROPN
fsr-3727	104	2	.	.	PUNCT
fsr-3727	105	1	o	o	X
fsr-3727	105	2	<	<	X
fsr-3727	105	3	all	all	PRON
fsr-3727	105	4	(	(	PUNCT
fsr-3727	105	5	5	5	NUM
fsr-3727	105	6	)	)	PUNCT
fsr-3727	105	7	note	note	NOUN
fsr-3727	105	8	that	that	SCONJ
fsr-3727	105	9	the	the	DET
fsr-3727	105	10	one	one	NUM
fsr-3727	105	11	plus	plus	CCONJ
fsr-3727	105	12	rate	rate	NOUN
fsr-3727	105	13	of	of	ADP
fsr-3727	105	14	return	return	NOUN
fsr-3727	105	15	can	can	AUX
fsr-3727	105	16	not	not	PART
fsr-3727	105	17	fall	fall	VERB
fsr-3727	105	18	under	under	ADP
fsr-3727	105	19	zero	zero	NUM
fsr-3727	105	20	.	.	PUNCT
fsr-3727	106	1	nevertheless	nevertheless	ADV
fsr-3727	106	2	,	,	PUNCT
fsr-3727	106	3	we	we	PRON
fsr-3727	106	4	integrate	integrate	VERB
fsr-3727	106	5	from	from	ADP
fsr-3727	106	6	-00	-00	PUNCT
fsr-3727	106	7	for	for	ADP
fsr-3727	106	8	completeness	completeness	NOUN
fsr-3727	106	9	.	.	PUNCT
fsr-3727	107	1	the	the	DET
fsr-3727	107	2	solution	solution	NOUN
fsr-3727	107	3	of	of	ADP
fsr-3727	107	4	this	this	DET
fsr-3727	107	5	equation	equation	NOUN
fsr-3727	107	6	for	for	ADP
fsr-3727	107	7	the	the	DET
fsr-3727	107	8	optimal	optimal	ADJ
fsr-3727	107	9	a	a	PRON
fsr-3727	107	10	*	*	PUNCT
fsr-3727	107	11	is	be	AUX
fsr-3727	107	12	detailed	detail	VERB
fsr-3727	107	13	in	in	ADP
fsr-3727	107	14	the	the	DET
fsr-3727	107	15	appendix	appendix	NOUN
fsr-3727	107	16	.	.	PUNCT
fsr-3727	108	1	the	the	DET
fsr-3727	108	2	result	result	NOUN
fsr-3727	108	3	is	be	AUX
fsr-3727	108	4	:	:	PUNCT
fsr-3727	108	5	(	(	PUNCT
fsr-3727	108	6	6	6	X
fsr-3727	108	7	)	)	PUNCT
fsr-3727	108	8	this	this	DET
fsr-3727	108	9	fairly	fairly	ADV
fsr-3727	108	10	simple	simple	ADJ
fsr-3727	108	11	result	result	NOUN
fsr-3727	108	12	yields	yield	VERB
fsr-3727	108	13	quite	quite	ADV
fsr-3727	108	14	intuitive	intuitive	ADJ
fsr-3727	108	15	properties	property	NOUN
fsr-3727	108	16	.	.	PUNCT
fsr-3727	109	1	we	we	PRON
fsr-3727	109	2	can	can	AUX
fsr-3727	109	3	see	see	VERB
fsr-3727	109	4	under	under	ADP
fsr-3727	109	5	what	what	DET
fsr-3727	109	6	conditions	condition	NOUN
fsr-3727	109	7	the	the	DET
fsr-3727	109	8	retiree	retiree	NOUN
fsr-3727	109	9	picks	pick	VERB
fsr-3727	109	10	a	a	DET
fsr-3727	109	11	comer	comer	NOUN
fsr-3727	109	12	solution	solution	NOUN
fsr-3727	109	13	.	.	PUNCT
fsr-3727	110	1	if	if	SCONJ
fsr-3727	110	2	d	d	PROPN
fsr-3727	110	3	2	2	NUM
fsr-3727	110	4	ptr	ptr	NOUN
fsr-3727	110	5	then	then	ADV
fsr-3727	110	6	they	they	PRON
fsr-3727	110	7	must	must	AUX
fsr-3727	110	8	‘	'	PUNCT
fsr-3727	110	9	gamble	gamble	VERB
fsr-3727	110	10	’	'	PUNCT
fsr-3727	110	11	by	by	ADP
fsr-3727	110	12	placing	place	VERB
fsr-3727	110	13	100	100	NUM
fsr-3727	110	14	percent	percent	NOUN
fsr-3727	110	15	in	in	ADP
fsr-3727	110	16	equities	equity	NOUN
fsr-3727	110	17	.	.	PUNCT
fsr-3727	111	1	if	if	SCONJ
fsr-3727	111	2	o	o	NOUN
fsr-3727	111	3	,	,	PUNCT
fsr-3727	111	4	,	,	PUNCT
fsr-3727	111	5	=	=	SYM
fsr-3727	111	6	0	0	PUNCT
fsr-3727	112	1	and	and	CCONJ
fsr-3727	112	2	d	d	X
fsr-3727	112	3	<	<	X
fsr-3727	112	4	pl	pl	PROPN
fsr-3727	112	5	,	,	PUNCT
fsr-3727	113	1	,	,	PUNCT
fsr-3727	113	2	then	then	ADV
fsr-3727	113	3	the	the	DET
fsr-3727	113	4	optimal	optimal	ADJ
fsr-3727	113	5	solution	solution	NOUN
fsr-3727	113	6	is	be	AUX
fsr-3727	113	7	entirely	entirely	ADV
fsr-3727	113	8	t	t	NOUN
fsr-3727	113	9	-	-	PUNCT
fsr-3727	113	10	bills	bill	NOUN
fsr-3727	113	11	,	,	PUNCT
fsr-3727	113	12	because	because	SCONJ
fsr-3727	113	13	they	they	PRON
fsr-3727	113	14	will	will	AUX
fsr-3727	113	15	guarantee	guarantee	VERB
fsr-3727	113	16	the	the	DET
fsr-3727	113	17	minimum	minimum	ADJ
fsr-3727	113	18	required	require	VERB
fsr-3727	113	19	consumption	consumption	NOUN
fsr-3727	113	20	.	.	PUNCT
fsr-3727	114	1	in	in	ADP
fsr-3727	114	2	between	between	ADP
fsr-3727	114	3	these	these	DET
fsr-3727	114	4	extremes	extreme	NOUN
fsr-3727	114	5	,	,	PUNCT
fsr-3727	114	6	higher	high	ADJ
fsr-3727	114	7	returns	return	NOUN
fsr-3727	114	8	on	on	ADP
fsr-3727	114	9	either	either	PRON
fsr-3727	114	10	asset	asset	NOUN
fsr-3727	114	11	or	or	CCONJ
fsr-3727	114	12	lower	low	ADJ
fsr-3727	114	13	variances	variance	NOUN
fsr-3727	114	14	on	on	ADP
fsr-3727	114	15	either	either	CCONJ
fsr-3727	114	16	asset	asset	NOUN
fsr-3727	114	17	drives	drive	VERB
fsr-3727	114	18	the	the	DET
fsr-3727	114	19	solution	solution	NOUN
fsr-3727	114	20	towards	towards	ADP
fsr-3727	114	21	investment	investment	NOUN
fsr-3727	114	22	in	in	ADP
fsr-3727	114	23	that	that	DET
fsr-3727	114	24	asset	asset	NOUN
fsr-3727	114	25	,	,	PUNCT
fsr-3727	114	26	just	just	ADV
fsr-3727	114	27	as	as	SCONJ
fsr-3727	114	28	we	we	PRON
fsr-3727	114	29	would	would	AUX
fsr-3727	114	30	expect	expect	VERB
fsr-3727	114	31	.	.	PUNCT
fsr-3727	115	1	iii	iii	PROPN
fsr-3727	115	2	.	.	PUNCT
fsr-3727	115	3	numerical	numerical	PROPN
fsr-3727	115	4	results	results	PROPN
fsr-3727	115	5	q	q	X
fsr-3727	115	6	:	:	PUNCT
fsr-3727	115	7	a	a	DET
fsr-3727	115	8	65	65	NUM
fsr-3727	115	9	year	year	NOUN
fsr-3727	115	10	old	old	ADJ
fsr-3727	115	11	canadian	canadian	ADJ
fsr-3727	115	12	male	male	NOUN
fsr-3727	115	13	has	have	AUX
fsr-3727	115	14	retired	retire	VERB
fsr-3727	115	15	with	with	ADP
fsr-3727	115	16	an	an	DET
fsr-3727	115	17	initial	initial	ADJ
fsr-3727	115	18	wealth	wealth	NOUN
fsr-3727	115	19	of	of	ADP
fsr-3727	115	20	$	$	SYM
fsr-3727	115	21	850,000	850,000	NUM
fsr-3727	115	22	.	.	PUNCT
fsr-3727	116	1	he	he	PRON
fsr-3727	116	2	plans	plan	VERB
fsr-3727	116	3	to	to	PART
fsr-3727	116	4	consume	consume	VERB
fsr-3727	116	5	$	$	SYM
fsr-3727	116	6	65,000	65,000	NUM
fsr-3727	116	7	per	per	ADP
fsr-3727	116	8	year	year	NOUN
fsr-3727	116	9	(	(	PUNCT
fsr-3727	116	10	in	in	ADP
fsr-3727	116	11	real	real	ADJ
fsr-3727	116	12	terms	term	NOUN
fsr-3727	116	13	)	)	PUNCT
fsr-3727	116	14	.	.	PUNCT
fsr-3727	117	1	how	how	SCONJ
fsr-3727	117	2	much	much	ADV
fsr-3727	117	3	should	should	AUX
fsr-3727	117	4	he	he	PRON
fsr-3727	117	5	allocate	allocate	VERB
fsr-3727	117	6	,	,	PUNCT
fsr-3727	117	7	at	at	ADP
fsr-3727	117	8	this	this	DET
fsr-3727	117	9	time	time	NOUN
fsr-3727	117	10	,	,	PUNCT
fsr-3727	117	11	to	to	ADP
fsr-3727	117	12	treasury	treasury	NOUN
fsr-3727	117	13	bills	bill	NOUN
fsr-3727	117	14	,	,	PUNCT
fsr-3727	117	15	and	and	CCONJ
fsr-3727	117	16	how	how	SCONJ
fsr-3727	117	17	much	much	ADV
fsr-3727	117	18	should	should	AUX
fsr-3727	117	19	he	he	PRON
fsr-3727	117	20	allocate	allocate	VERB
fsr-3727	117	21	to	to	ADP
fsr-3727	117	22	equity	equity	NOUN
fsr-3727	117	23	,	,	PUNCT
fsr-3727	117	24	to	to	PART
fsr-3727	117	25	minimize	minimize	VERB
fsr-3727	117	26	the	the	DET
fsr-3727	117	27	probability	probability	NOUN
fsr-3727	117	28	of	of	ADP
fsr-3727	117	29	outliving	outlive	VERB
fsr-3727	117	30	his	his	PRON
fsr-3727	117	31	money	money	NOUN
fsr-3727	117	32	?	?	PUNCT
fsr-3727	118	1	114	114	NUM
fsr-3727	118	2	financial	financial	ADJ
fsr-3727	118	3	services	service	NOUN
fsr-3727	118	4	review	review	NOUN
fsr-3727	118	5	,	,	PUNCT
fsr-3727	118	6	3(2	3(2	NUM
fsr-3727	118	7	)	)	PUNCT
fsr-3727	118	8	1994	1994	NUM
fsr-3727	118	9	assume	assume	VERB
fsr-3727	118	10	that	that	SCONJ
fsr-3727	118	11	the	the	DET
fsr-3727	118	12	average	average	ADJ
fsr-3727	118	13	real	real	ADJ
fsr-3727	118	14	return	return	NOUN
fsr-3727	118	15	from	from	ADP
fsr-3727	118	16	treasury	treasury	NOUN
fsr-3727	118	17	bills	bill	NOUN
fsr-3727	118	18	is	be	AUX
fsr-3727	118	19	two	two	NUM
fsr-3727	118	20	percent	percent	NOUN
fsr-3727	118	21	per	per	ADP
fsr-3727	118	22	year	year	NOUN
fsr-3727	118	23	with	with	ADP
fsr-3727	118	24	a	a	DET
fsr-3727	118	25	volatility	volatility	NOUN
fsr-3727	118	26	(	(	PUNCT
fsr-3727	118	27	standard	standard	ADJ
fsr-3727	118	28	deviation	deviation	NOUN
fsr-3727	118	29	)	)	PUNCT
fsr-3727	118	30	of	of	ADP
fsr-3727	118	31	3.5	3.5	NUM
fsr-3727	118	32	%	%	NOUN
fsr-3727	118	33	,	,	PUNCT
fsr-3727	118	34	and	and	CCONJ
fsr-3727	118	35	that	that	SCONJ
fsr-3727	118	36	the	the	DET
fsr-3727	118	37	average	average	ADJ
fsr-3727	118	38	real	real	ADJ
fsr-3727	118	39	return	return	NOUN
fsr-3727	118	40	on	on	ADP
fsr-3727	118	41	equity	equity	NOUN
fsr-3727	118	42	is	be	AUX
fsr-3727	118	43	eight	eight	NUM
fsr-3727	118	44	percent	percent	NOUN
fsr-3727	118	45	per	per	ADP
fsr-3727	118	46	year	year	NOUN
fsr-3727	118	47	with	with	ADP
fsr-3727	118	48	a	a	DET
fsr-3727	118	49	volatility	volatility	NOUN
fsr-3727	118	50	(	(	PUNCT
fsr-3727	118	51	standard	standard	ADJ
fsr-3727	118	52	deviation	deviation	NOUN
fsr-3727	118	53	)	)	PUNCT
fsr-3727	118	54	of	of	ADP
fsr-3727	118	55	17.5	17.5	NUM
fsr-3727	118	56	percent	percent	NOUN
fsr-3727	118	57	.	.	PUNCT
fsr-3727	119	1	these	these	DET
fsr-3727	119	2	values	value	NOUN
fsr-3727	119	3	are	be	AUX
fsr-3727	119	4	derived	derive	VERB
fsr-3727	119	5	from	from	ADP
fsr-3727	119	6	hatch	hatch	NOUN
fsr-3727	119	7	and	and	CCONJ
fsr-3727	119	8	white	white	ADJ
fsr-3727	119	9	(	(	PUNCT
fsr-3727	119	10	1988	1988	NUM
fsr-3727	119	11	)	)	PUNCT
fsr-3727	119	12	using	use	VERB
fsr-3727	119	13	exponential	exponential	NOUN
fsr-3727	119	14	smoothing	smoothing	NOUN
fsr-3727	119	15	to	to	PART
fsr-3727	119	16	get	get	VERB
fsr-3727	119	17	a	a	DET
fsr-3727	119	18	continuous	continuous	ADJ
fsr-3727	119	19	function	function	NOUN
fsr-3727	119	20	that	that	PRON
fsr-3727	119	21	places	place	VERB
fsr-3727	119	22	somewhat	somewhat	ADV
fsr-3727	119	23	more	more	ADJ
fsr-3727	119	24	weight	weight	NOUN
fsr-3727	119	25	on	on	ADP
fsr-3727	119	26	recent	recent	ADJ
fsr-3727	119	27	observations	observation	NOUN
fsr-3727	119	28	.	.	PUNCT
fsr-3727	120	1	a	a	PRON
fsr-3727	120	2	:	:	PUNCT
fsr-3727	120	3	using	use	VERB
fsr-3727	120	4	a	a	DET
fsr-3727	120	5	canadian	canadian	ADJ
fsr-3727	120	6	actuarial	actuarial	ADJ
fsr-3727	120	7	mortality	mortality	NOUN
fsr-3727	120	8	table	table	NOUN
fsr-3727	120	9	we	we	PRON
fsr-3727	120	10	can	can	AUX
fsr-3727	120	11	find	find	VERB
fsr-3727	120	12	the	the	DET
fsr-3727	120	13	required	require	VERB
fsr-3727	120	14	rate	rate	NOUN
fsr-3727	120	15	of	of	ADP
fsr-3727	120	16	return	return	NOUN
fsr-3727	120	17	d	d	PROPN
fsr-3727	120	18	that	that	SCONJ
fsr-3727	120	19	the	the	DET
fsr-3727	120	20	individual	individual	NOUN
fsr-3727	120	21	must	must	AUX
fsr-3727	120	22	earn	earn	VERB
fsr-3727	120	23	per	per	ADP
fsr-3727	120	24	year	year	NOUN
fsr-3727	120	25	so	so	SCONJ
fsr-3727	120	26	as	as	SCONJ
fsr-3727	120	27	to	to	PART
fsr-3727	120	28	equate	equate	VERB
fsr-3727	120	29	the	the	DET
fsr-3727	120	30	present	present	ADJ
fsr-3727	120	31	value	value	NOUN
fsr-3727	120	32	of	of	ADP
fsr-3727	120	33	his	his	PRON
fsr-3727	120	34	consumption	consumption	NOUN
fsr-3727	120	35	requirements	requirement	NOUN
fsr-3727	120	36	to	to	ADP
fsr-3727	120	37	his	his	PRON
fsr-3727	120	38	current	current	ADJ
fsr-3727	120	39	wealth	wealth	NOUN
fsr-3727	120	40	,	,	PUNCT
fsr-3727	120	41	that	that	ADV
fsr-3727	120	42	is	is	ADV
fsr-3727	120	43	,	,	PUNCT
fsr-3727	120	44	we	we	PRON
fsr-3727	120	45	solve	solve	VERB
fsr-3727	120	46	equation	equation	NOUN
fsr-3727	120	47	(	(	PUNCT
fsr-3727	120	48	2	2	NUM
fsr-3727	120	49	)	)	PUNCT
fsr-3727	120	50	.	.	PUNCT
fsr-3727	121	1	thus	thus	ADV
fsr-3727	121	2	,	,	PUNCT
fsr-3727	121	3	the	the	DET
fsr-3727	121	4	individual	individual	NOUN
fsr-3727	121	5	’s	’s	PART
fsr-3727	121	6	wealth	wealth	NOUN
fsr-3727	121	7	should	should	AUX
fsr-3727	121	8	be	be	AUX
fsr-3727	121	9	the	the	DET
fsr-3727	121	10	equivalent	equivalent	NOUN
fsr-3727	121	11	of	of	ADP
fsr-3727	121	12	a	a	DET
fsr-3727	121	13	whole	whole	ADJ
fsr-3727	121	14	life	life	NOUN
fsr-3727	121	15	annuity	annuity	NOUN
fsr-3727	121	16	immediate	immediate	ADJ
fsr-3727	121	17	at	at	ADP
fsr-3727	121	18	the	the	DET
fsr-3727	121	19	required	require	VERB
fsr-3727	121	20	rate	rate	NOUN
fsr-3727	121	21	of	of	ADP
fsr-3727	121	22	return	return	NOUN
fsr-3727	121	23	d.	d.	PROPN
fsr-3727	121	24	in	in	ADP
fsr-3727	121	25	this	this	DET
fsr-3727	121	26	problem	problem	NOUN
fsr-3727	121	27	d	d	NOUN
fsr-3727	121	28	=	=	SYM
fsr-3727	121	29	1	1	NUM
fsr-3727	121	30	.ol	.ol	PROPN
fsr-3727	121	31	,	,	PUNCT
fsr-3727	121	32	thus	thus	ADV
fsr-3727	121	33	,	,	PUNCT
fsr-3727	121	34	the	the	DET
fsr-3727	121	35	individual	individual	NOUN
fsr-3727	121	36	must	must	AUX
fsr-3727	121	37	earn	earn	VERB
fsr-3727	121	38	at	at	ADV
fsr-3727	121	39	least	least	ADV
fsr-3727	121	40	one	one	NUM
fsr-3727	121	41	percent	percent	NOUN
fsr-3727	121	42	per	per	ADP
fsr-3727	121	43	year	year	NOUN
fsr-3727	121	44	effective	effective	ADJ
fsr-3727	121	45	.	.	PUNCT
fsr-3727	122	1	computationally	computationally	ADV
fsr-3727	122	2	,	,	PUNCT
fsr-3727	122	3	utr	utr	X
fsr-3727	122	4	=	=	SYM
fsr-3727	122	5	1.02	1.02	NUM
fsr-3727	122	6	and	and	CCONJ
fsr-3727	122	7	peq	peq	PROPN
fsr-3727	122	8	=	=	PROPN
fsr-3727	122	9	1.08	1.08	NUM
fsr-3727	122	10	likewise	likewise	ADV
fsr-3727	122	11	ts	ts	ADP
fsr-3727	122	12	,	,	PUNCT
fsr-3727	122	13	,	,	PUNCT
fsr-3727	122	14	=	=	PROPN
fsr-3727	122	15	0.035	0.035	NUM
fsr-3727	122	16	and	and	CCONJ
fsr-3727	122	17	rse4	rse4	PROPN
fsr-3727	122	18	=	=	PROPN
fsr-3727	123	1	0.175	0.175	NUM
fsr-3727	123	2	.	.	PUNCT
fsr-3727	124	1	plugging	plug	VERB
fsr-3727	124	2	the	the	DET
fsr-3727	124	3	above	above	ADJ
fsr-3727	124	4	values	value	NOUN
fsr-3727	124	5	into	into	ADP
fsr-3727	124	6	equation	equation	NOUN
fsr-3727	124	7	(	(	PUNCT
fsr-3727	124	8	6	6	NUM
fsr-3727	124	9	)	)	PUNCT
fsr-3727	124	10	we	we	PRON
fsr-3727	124	11	obtain	obtain	VERB
fsr-3727	124	12	that	that	PRON
fsr-3727	124	13	a	a	NOUN
fsr-3727	124	14	*	*	PUNCT
fsr-3727	124	15	=	=	SYM
fsr-3727	124	16	0.78	0.78	NUM
fsr-3727	124	17	13	13	NUM
fsr-3727	124	18	and	and	CCONJ
fsr-3727	124	19	thus	thus	ADV
fsr-3727	124	20	the	the	DET
fsr-3727	124	21	individual	individual	NOUN
fsr-3727	124	22	should	should	AUX
fsr-3727	124	23	place	place	VERB
fsr-3727	124	24	78.13	78.13	NUM
fsr-3727	124	25	percent	percent	NOUN
fsr-3727	124	26	of	of	ADP
fsr-3727	124	27	his	his	PRON
fsr-3727	124	28	current	current	ADJ
fsr-3727	124	29	wealth	wealth	NOUN
fsr-3727	124	30	(	(	PUNCT
fsr-3727	124	31	or	or	CCONJ
fsr-3727	124	32	$	$	SYM
fsr-3727	124	33	664,100	664,100	NUM
fsr-3727	124	34	)	)	PUNCT
fsr-3727	124	35	in	in	ADP
fsr-3727	124	36	treasury	treasury	NOUN
fsr-3727	124	37	bills	bill	NOUN
fsr-3727	124	38	,	,	PUNCT
fsr-3727	124	39	and	and	CCONJ
fsr-3727	124	40	21.87	21.87	NUM
fsr-3727	124	41	percent	percent	NOUN
fsr-3727	124	42	of	of	ADP
fsr-3727	124	43	his	his	PRON
fsr-3727	124	44	current	current	ADJ
fsr-3727	124	45	wealth	wealth	NOUN
fsr-3727	124	46	(	(	PUNCT
fsr-3727	124	47	or	or	CCONJ
fsr-3727	124	48	$	$	SYM
fsr-3727	124	49	185,900	185,900	NUM
fsr-3727	124	50	)	)	PUNCT
fsr-3727	124	51	in	in	ADP
fsr-3727	124	52	equity	equity	NOUN
fsr-3727	124	53	.	.	PUNCT
fsr-3727	125	1	note	note	VERB
fsr-3727	125	2	that	that	SCONJ
fsr-3727	125	3	even	even	ADV
fsr-3727	125	4	though	though	SCONJ
fsr-3727	125	5	d	d	X
fsr-3727	125	6	<	<	X
fsr-3727	125	7	pltr	pltr	NOUN
fsr-3727	125	8	,	,	PUNCT
fsr-3727	125	9	0	0	NUM
fsr-3727	125	10	,	,	PUNCT
fsr-3727	125	11	>	>	X
fsr-3727	125	12	0	0	NUM
fsr-3727	125	13	;	;	PUNCT
fsr-3727	125	14	so	so	ADV
fsr-3727	125	15	the	the	DET
fsr-3727	125	16	optimal	optimal	ADJ
fsr-3727	125	17	allocation	allocation	NOUN
fsr-3727	125	18	includes	include	VERB
fsr-3727	125	19	equity	equity	NOUN
fsr-3727	125	20	.	.	PUNCT
fsr-3727	126	1	the	the	DET
fsr-3727	126	2	risk	risk	NOUN
fsr-3727	126	3	-	-	PUNCT
fsr-3727	126	4	free	free	ADJ
fsr-3727	126	5	rate	rate	NOUN
fsr-3727	126	6	is	be	AUX
fsr-3727	126	7	only	only	ADV
fsr-3727	126	8	free	free	ADJ
fsr-3727	126	9	of	of	ADP
fsr-3727	126	10	default	default	NOUN
fsr-3727	126	11	risk	risk	NOUN
fsr-3727	126	12	.	.	PUNCT
fsr-3727	127	1	each	each	DET
fsr-3727	127	2	year	year	NOUN
fsr-3727	127	3	the	the	DET
fsr-3727	127	4	above	above	ADJ
fsr-3727	127	5	computation	computation	NOUN
fsr-3727	127	6	must	must	AUX
fsr-3727	127	7	be	be	AUX
fsr-3727	127	8	done	do	VERB
fsr-3727	127	9	anew	anew	ADV
fsr-3727	127	10	,	,	PUNCT
fsr-3727	127	11	(	(	PUNCT
fsr-3727	127	12	i.e.	i.e.	X
fsr-3727	127	13	,	,	PUNCT
fsr-3727	127	14	the	the	DET
fsr-3727	127	15	portfolio	portfolio	NOUN
fsr-3727	127	16	must	must	AUX
fsr-3727	127	17	be	be	AUX
fsr-3727	127	18	re	re	VERB
fsr-3727	127	19	-	-	VERB
fsr-3727	127	20	balanced	balanced	ADJ
fsr-3727	127	21	once	once	ADV
fsr-3727	127	22	a	a	DET
fsr-3727	127	23	year	year	NOUN
fsr-3727	127	24	)	)	PUNCT
fsr-3727	127	25	because	because	SCONJ
fsr-3727	127	26	the	the	DET
fsr-3727	127	27	individual	individual	NOUN
fsr-3727	127	28	’s	’s	PART
fsr-3727	127	29	d	d	NOUN
fsr-3727	127	30	,	,	PUNCT
fsr-3727	127	31	one	one	NUM
fsr-3727	127	32	plus	plus	ADP
fsr-3727	127	33	the	the	DET
fsr-3727	127	34	required	require	VERB
fsr-3727	127	35	rate	rate	NOUN
fsr-3727	127	36	of	of	ADP
fsr-3727	127	37	return	return	NOUN
fsr-3727	127	38	,	,	PUNCT
fsr-3727	127	39	will	will	AUX
fsr-3727	127	40	change	change	VERB
fsr-3727	127	41	as	as	ADP
fsr-3727	127	42	time	time	NOUN
fsr-3727	127	43	progresses	progress	VERB
fsr-3727	127	44	.	.	PUNCT
fsr-3727	128	1	to	to	PART
fsr-3727	128	2	generalize	generalize	VERB
fsr-3727	128	3	the	the	DET
fsr-3727	128	4	picture	picture	NOUN
fsr-3727	128	5	,	,	PUNCT
fsr-3727	128	6	we	we	PRON
fsr-3727	128	7	calculate	calculate	VERB
fsr-3727	128	8	a	a	DET
fsr-3727	128	9	range	range	NOUN
fsr-3727	128	10	of	of	ADP
fsr-3727	128	11	results	result	NOUN
fsr-3727	128	12	for	for	ADP
fsr-3727	128	13	variations	variation	NOUN
fsr-3727	128	14	in	in	ADP
fsr-3727	128	15	initial	initial	ADJ
fsr-3727	128	16	wealth	wealth	NOUN
fsr-3727	128	17	,	,	PUNCT
fsr-3727	128	18	desired	desire	VERB
fsr-3727	128	19	consumption	consumption	NOUN
fsr-3727	128	20	,	,	PUNCT
fsr-3727	128	21	age	age	NOUN
fsr-3727	128	22	,	,	PUNCT
fsr-3727	128	23	and	and	CCONJ
fsr-3727	128	24	sex	sex	NOUN
fsr-3727	128	25	.	.	PUNCT
fsr-3727	129	1	we	we	PRON
fsr-3727	129	2	combine	combine	VERB
fsr-3727	129	3	the	the	DET
fsr-3727	129	4	mortality	mortality	NOUN
fsr-3727	129	5	rates	rate	NOUN
fsr-3727	129	6	for	for	ADP
fsr-3727	129	7	females	female	NOUN
fsr-3727	129	8	and	and	CCONJ
fsr-3727	129	9	males	male	NOUN
fsr-3727	129	10	at	at	ADP
fsr-3727	129	11	various	various	ADJ
fsr-3727	129	12	ages	age	NOUN
fsr-3727	129	13	with	with	ADP
fsr-3727	129	14	wealth	wealth	NOUN
fsr-3727	129	15	and	and	CCONJ
fsr-3727	129	16	consumption	consumption	NOUN
fsr-3727	129	17	in	in	ADP
fsr-3727	129	18	constant	constant	ADJ
fsr-3727	129	19	dollars	dollar	NOUN
fsr-3727	129	20	to	to	PART
fsr-3727	129	21	obtain	obtain	VERB
fsr-3727	129	22	d	d	NOUN
fsr-3727	129	23	in	in	ADP
fsr-3727	129	24	real	real	ADJ
fsr-3727	129	25	terms	term	NOUN
fsr-3727	129	26	.	.	PUNCT
fsr-3727	130	1	using	use	VERB
fsr-3727	130	2	the	the	DET
fsr-3727	130	3	same	same	ADJ
fsr-3727	130	4	returns	return	NOUN
fsr-3727	130	5	and	and	CCONJ
fsr-3727	130	6	variances	variance	NOUN
fsr-3727	130	7	as	as	ADP
fsr-3727	130	8	in	in	ADP
fsr-3727	130	9	the	the	DET
fsr-3727	130	10	example	example	NOUN
fsr-3727	130	11	,	,	PUNCT
fsr-3727	130	12	we	we	PRON
fsr-3727	130	13	obtain	obtain	VERB
fsr-3727	130	14	table	table	NOUN
fsr-3727	130	15	1	1	NUM
fsr-3727	130	16	.	.	PUNCT
fsr-3727	131	1	the	the	DET
fsr-3727	131	2	value	value	NOUN
fsr-3727	131	3	of	of	ADP
fsr-3727	131	4	d	d	PROPN
fsr-3727	131	5	,	,	PUNCT
fsr-3727	131	6	one	one	NUM
fsr-3727	131	7	plus	plus	ADP
fsr-3727	131	8	the	the	DET
fsr-3727	131	9	required	require	VERB
fsr-3727	131	10	rate	rate	NOUN
fsr-3727	131	11	of	of	ADP
fsr-3727	131	12	return	return	NOUN
fsr-3727	131	13	,	,	PUNCT
fsr-3727	131	14	are	be	AUX
fsr-3727	131	15	shown	show	VERB
fsr-3727	131	16	in	in	ADP
fsr-3727	131	17	table	table	NOUN
fsr-3727	131	18	2	2	NUM
fsr-3727	131	19	.	.	PUNCT
fsr-3727	131	20	table	table	NOUN
fsr-3727	131	21	1	1	NUM
fsr-3727	131	22	has	have	VERB
fsr-3727	131	23	a	a	DET
fsr-3727	131	24	block	block	NOUN
fsr-3727	131	25	of	of	ADP
fsr-3727	131	26	es	es	NOUN
fsr-3727	131	27	in	in	ADP
fsr-3727	131	28	the	the	DET
fsr-3727	131	29	upper	upper	ADJ
fsr-3727	131	30	left	left	NOUN
fsr-3727	131	31	denoting	denote	VERB
fsr-3727	131	32	all	all	DET
fsr-3727	131	33	equity	equity	NOUN
fsr-3727	131	34	portfolios	portfolio	NOUN
fsr-3727	131	35	,	,	PUNCT
fsr-3727	131	36	which	which	PRON
fsr-3727	131	37	are	be	AUX
fsr-3727	131	38	preferred	prefer	VERB
fsr-3727	131	39	whenever	whenever	SCONJ
fsr-3727	131	40	the	the	DET
fsr-3727	131	41	required	require	VERB
fsr-3727	131	42	rate	rate	NOUN
fsr-3727	131	43	of	of	ADP
fsr-3727	131	44	return	return	NOUN
fsr-3727	131	45	equals	equal	VERB
fsr-3727	131	46	or	or	CCONJ
fsr-3727	131	47	exceeds	exceed	VERB
fsr-3727	131	48	the	the	DET
fsr-3727	131	49	t	t	PROPN
fsr-3727	131	50	-	-	PUNCT
fsr-3727	131	51	bill	bill	NOUN
fsr-3727	131	52	rate	rate	NOUN
fsr-3727	131	53	(	(	PUNCT
fsr-3727	131	54	we	we	PRON
fsr-3727	131	55	will	will	AUX
fsr-3727	131	56	explain	explain	VERB
fsr-3727	131	57	shortly	shortly	ADV
fsr-3727	131	58	)	)	PUNCT
fsr-3727	131	59	.	.	PUNCT
fsr-3727	132	1	below	below	ADP
fsr-3727	132	2	them	they	PRON
fsr-3727	132	3	are	be	AUX
fsr-3727	132	4	a	a	DET
fsr-3727	132	5	few	few	ADJ
fsr-3727	132	6	bold	bold	ADJ
fsr-3727	132	7	-	-	PUNCT
fsr-3727	132	8	face	face	NOUN
fsr-3727	132	9	numbers	number	NOUN
fsr-3727	132	10	ranging	range	VERB
fsr-3727	132	11	from	from	ADP
fsr-3727	132	12	0.171	0.171	NUM
fsr-3727	132	13	to	to	ADP
fsr-3727	132	14	0.849	0.849	NUM
fsr-3727	132	15	.	.	PUNCT
fsr-3727	133	1	these	these	PRON
fsr-3727	133	2	are	be	AUX
fsr-3727	133	3	interior	interior	ADJ
fsr-3727	133	4	optima	optima	NOUN
fsr-3727	133	5	where	where	SCONJ
fsr-3727	133	6	the	the	DET
fsr-3727	133	7	required	require	VERB
fsr-3727	133	8	rate	rate	NOUN
fsr-3727	133	9	falls	fall	VERB
fsr-3727	133	10	between	between	ADP
fsr-3727	133	11	zero	zero	NUM
fsr-3727	133	12	and	and	CCONJ
fsr-3727	133	13	the	the	DET
fsr-3727	133	14	tbill	tbill	NOUN
fsr-3727	133	15	rate	rate	NOUN
fsr-3727	133	16	.	.	PUNCT
fsr-3727	134	1	finally	finally	ADV
fsr-3727	134	2	,	,	PUNCT
fsr-3727	134	3	the	the	DET
fsr-3727	134	4	lower	low	ADJ
fsr-3727	134	5	part	part	NOUN
fsr-3727	134	6	of	of	ADP
fsr-3727	134	7	the	the	DET
fsr-3727	134	8	table	table	NOUN
fsr-3727	134	9	has	have	VERB
fsr-3727	134	10	values	value	NOUN
fsr-3727	134	11	of	of	ADP
fsr-3727	134	12	a	a	DET
fsr-3727	134	13	ranging	ranging	NOUN
fsr-3727	134	14	from	from	ADP
fsr-3727	134	15	0.865	0.865	NUM
fsr-3727	134	16	to	to	ADP
fsr-3727	134	17	0.955	0.955	NUM
fsr-3727	134	18	.	.	PUNCT
fsr-3727	135	1	these	these	PRON
fsr-3727	135	2	are	be	AUX
fsr-3727	135	3	portfolios	portfolio	NOUN
fsr-3727	135	4	where	where	SCONJ
fsr-3727	135	5	d	d	PROPN
fsr-3727	135	6	<	<	X
fsr-3727	135	7	1	1	NUM
fsr-3727	135	8	(	(	PUNCT
fsr-3727	135	9	see	see	VERB
fsr-3727	135	10	table	table	NOUN
fsr-3727	135	11	2	2	NUM
fsr-3727	135	12	)	)	PUNCT
fsr-3727	135	13	.	.	PUNCT
fsr-3727	136	1	that	that	PRON
fsr-3727	136	2	is	be	AUX
fsr-3727	136	3	,	,	PUNCT
fsr-3727	136	4	the	the	DET
fsr-3727	136	5	portfolio	portfolio	NOUN
fsr-3727	136	6	need	need	AUX
fsr-3727	136	7	not	not	PART
fsr-3727	136	8	earn	earn	VERB
fsr-3727	136	9	positive	positive	ADJ
fsr-3727	136	10	returns	return	NOUN
fsr-3727	136	11	,	,	PUNCT
fsr-3727	136	12	but	but	CCONJ
fsr-3727	136	13	must	must	AUX
fsr-3727	136	14	not	not	PART
fsr-3727	136	15	lose	lose	VERB
fsr-3727	136	16	more	more	ADJ
fsr-3727	136	17	than	than	ADP
fsr-3727	136	18	a	a	DET
fsr-3727	136	19	very	very	ADV
fsr-3727	136	20	small	small	ADJ
fsr-3727	136	21	percentage	percentage	NOUN
fsr-3727	136	22	of	of	ADP
fsr-3727	136	23	its	its	PRON
fsr-3727	136	24	value	value	NOUN
fsr-3727	136	25	.	.	PUNCT
fsr-3727	137	1	regardless	regardless	ADV
fsr-3727	137	2	of	of	ADP
fsr-3727	137	3	how	how	SCONJ
fsr-3727	137	4	secure	secure	ADJ
fsr-3727	137	5	the	the	DET
fsr-3727	137	6	consumption	consumption	NOUN
fsr-3727	137	7	seems	seem	VERB
fsr-3727	137	8	to	to	PART
fsr-3727	137	9	be	be	AUX
fsr-3727	137	10	,	,	PUNCT
fsr-3727	137	11	the	the	DET
fsr-3727	137	12	optimal	optimal	ADJ
fsr-3727	137	13	portfolio	portfolio	NOUN
fsr-3727	137	14	includes	include	VERB
fsr-3727	137	15	some	some	DET
fsr-3727	137	16	equity	equity	NOUN
fsr-3727	137	17	.	.	PUNCT
fsr-3727	138	1	the	the	DET
fsr-3727	138	2	extent	extent	NOUN
fsr-3727	138	3	to	to	PART
fsr-3727	138	4	which	which	PRON
fsr-3727	138	5	all	all	DET
fsr-3727	138	6	equity	equity	NOUN
fsr-3727	138	7	portfolios	portfolio	NOUN
fsr-3727	138	8	dominate	dominate	VERB
fsr-3727	138	9	is	be	AUX
fsr-3727	138	10	quite	quite	ADV
fsr-3727	138	11	surprising	surprising	ADJ
fsr-3727	138	12	at	at	ADP
fsr-3727	138	13	first	first	ADJ
fsr-3727	138	14	glance	glance	NOUN
fsr-3727	138	15	.	.	PUNCT
fsr-3727	139	1	equity	equity	NOUN
fsr-3727	139	2	is	be	AUX
fsr-3727	139	3	always	always	ADV
fsr-3727	139	4	characterized	characterize	VERB
fsr-3727	139	5	as	as	ADP
fsr-3727	139	6	the	the	DET
fsr-3727	139	7	riskiest	risky	ADJ
fsr-3727	139	8	security	security	NOUN
fsr-3727	139	9	,	,	PUNCT
fsr-3727	139	10	even	even	ADV
fsr-3727	139	11	in	in	ADP
fsr-3727	139	12	a	a	DET
fsr-3727	139	13	portfolio	portfolio	NOUN
fsr-3727	139	14	.	.	PUNCT
fsr-3727	140	1	in	in	ADP
fsr-3727	140	2	fact	fact	NOUN
fsr-3727	140	3	,	,	PUNCT
fsr-3727	140	4	the	the	DET
fsr-3727	140	5	greatest	great	ADJ
fsr-3727	140	6	risk	risk	NOUN
fsr-3727	140	7	for	for	ADP
fsr-3727	140	8	a	a	DET
fsr-3727	140	9	retiree	retiree	NOUN
fsr-3727	140	10	is	be	AUX
fsr-3727	140	11	outliving	outlive	VERB
fsr-3727	140	12	the	the	DET
fsr-3727	140	13	available	available	ADJ
fsr-3727	140	14	wealth	wealth	NOUN
fsr-3727	140	15	,	,	PUNCT
fsr-3727	140	16	and	and	CCONJ
fsr-3727	140	17	given	give	VERB
fsr-3727	140	18	a	a	DET
fsr-3727	140	19	relatively	relatively	ADV
fsr-3727	140	20	long	long	ADJ
fsr-3727	140	21	lifespan	lifespan	NOUN
fsr-3727	140	22	,	,	PUNCT
fsr-3727	140	23	high	high	ADJ
fsr-3727	140	24	risk	risk	NOUN
fsr-3727	140	25	/	/	SYM
fsr-3727	140	26	high	high	ADJ
fsr-3727	140	27	return	return	NOUN
fsr-3727	140	28	investments	investment	NOUN
fsr-3727	140	29	are	be	AUX
fsr-3727	140	30	necessary	necessary	ADJ
fsr-3727	140	31	to	to	PART
fsr-3727	140	32	minimize	minimize	VERB
fsr-3727	140	33	this	this	DET
fsr-3727	140	34	risk	risk	NOUN
fsr-3727	140	35	.	.	PUNCT
fsr-3727	141	1	thus	thus	ADV
fsr-3727	141	2	we	we	PRON
fsr-3727	141	3	see	see	VERB
fsr-3727	141	4	that	that	PRON
fsr-3727	141	5	for	for	ADP
fsr-3727	141	6	a	a	DET
fsr-3727	141	7	reasonable	reasonable	ADJ
fsr-3727	141	8	range	range	NOUN
fsr-3727	141	9	of	of	ADP
fsr-3727	141	10	wealth	wealth	NOUN
fsr-3727	141	11	/	/	SYM
fsr-3727	141	12	consumption	consumption	NOUN
fsr-3727	141	13	ratios	ratio	NOUN
fsr-3727	141	14	,	,	PUNCT
fsr-3727	141	15	an	an	DET
fsr-3727	141	16	all	all	DET
fsr-3727	141	17	-	-	PUNCT
fsr-3727	141	18	equity	equity	NOUN
fsr-3727	141	19	allocation	allocation	NOUN
fsr-3727	141	20	is	be	AUX
fsr-3727	141	21	preferred	prefer	VERB
fsr-3727	141	22	into	into	ADP
fsr-3727	141	23	normal	normal	ADJ
fsr-3727	141	24	retirement	retirement	NOUN
fsr-3727	141	25	years	year	NOUN
fsr-3727	141	26	,	,	PUNCT
fsr-3727	141	27	and	and	CCONJ
fsr-3727	141	28	is	be	AUX
fsr-3727	141	29	essential	essential	ADJ
fsr-3727	141	30	for	for	ADP
fsr-3727	141	31	early	early	ADJ
fsr-3727	141	32	retirees	retiree	NOUN
fsr-3727	141	33	,	,	PUNCT
fsr-3727	141	34	even	even	ADV
fsr-3727	141	35	if	if	SCONJ
fsr-3727	141	36	they	they	PRON
fsr-3727	141	37	have	have	VERB
fsr-3727	141	38	very	very	ADV
fsr-3727	141	39	substantial	substantial	ADJ
fsr-3727	141	40	wealth	wealth	NOUN
fsr-3727	141	41	.	.	PUNCT
fsr-3727	142	1	numerically	numerically	ADV
fsr-3727	142	2	,	,	PUNCT
fsr-3727	142	3	the	the	DET
fsr-3727	142	4	upper	upper	ADJ
fsr-3727	142	5	limit	limit	NOUN
fsr-3727	142	6	of	of	ADP
fsr-3727	142	7	equation	equation	NOUN
fsr-3727	142	8	(	(	PUNCT
fsr-3727	142	9	6	6	NUM
fsr-3727	142	10	)	)	PUNCT
fsr-3727	142	11	is	be	AUX
fsr-3727	142	12	a	a	DET
fsr-3727	142	13	=	=	NOUN
fsr-3727	142	14	0.96	0.96	NUM
fsr-3727	142	15	for	for	ADP
fsr-3727	142	16	the	the	DET
fsr-3727	142	17	returns	return	NOUN
fsr-3727	142	18	and	and	CCONJ
fsr-3727	142	19	standard	standard	ADJ
fsr-3727	142	20	deviations	deviation	NOUN
fsr-3727	142	21	in	in	ADP
fsr-3727	142	22	the	the	DET
fsr-3727	142	23	example	example	NOUN
fsr-3727	142	24	.	.	PUNCT
fsr-3727	143	1	as	as	ADP
fsr-3727	143	2	a	a	DET
fsr-3727	143	3	practical	practical	ADJ
fsr-3727	143	4	matter	matter	NOUN
fsr-3727	143	5	,	,	PUNCT
fsr-3727	143	6	an	an	DET
fsr-3727	143	7	a	a	X
fsr-3727	143	8	>	>	X
fsr-3727	143	9	0.9	0.9	NUM
fsr-3727	143	10	is	be	AUX
fsr-3727	143	11	essentially	essentially	ADV
fsr-3727	143	12	all	all	DET
fsr-3727	143	13	t	t	NOUN
fsr-3727	143	14	-	-	PUNCT
fsr-3727	143	15	bills	bill	NOUN
fsr-3727	143	16	.	.	PUNCT
fsr-3727	144	1	we	we	PRON
fsr-3727	144	2	can	can	AUX
fsr-3727	144	3	draw	draw	VERB
fsr-3727	144	4	more	more	ADV
fsr-3727	144	5	specific	specific	ADJ
fsr-3727	144	6	observations	observation	NOUN
fsr-3727	144	7	from	from	ADP
fsr-3727	144	8	table	table	NOUN
fsr-3727	144	9	1	1	NUM
fsr-3727	144	10	:	:	SYM
fsr-3727	144	11	1	1	NUM
fsr-3727	144	12	.	.	X
fsr-3727	145	1	the	the	DET
fsr-3727	145	2	equity	equity	NOUN
fsr-3727	145	3	requirement	requirement	NOUN
fsr-3727	145	4	is	be	AUX
fsr-3727	145	5	greater	great	ADJ
fsr-3727	145	6	for	for	ADP
fsr-3727	145	7	women	woman	NOUN
fsr-3727	145	8	than	than	ADP
fsr-3727	145	9	for	for	ADP
fsr-3727	145	10	men	man	NOUN
fsr-3727	145	11	.	.	PUNCT
fsr-3727	146	1	we	we	PRON
fsr-3727	146	2	show	show	VERB
fsr-3727	146	3	only	only	ADV
fsr-3727	146	4	five	five	NUM
fsr-3727	146	5	year	year	NOUN
fsr-3727	146	6	intervals	interval	NOUN
fsr-3727	146	7	,	,	PUNCT
fsr-3727	146	8	and	and	CCONJ
fsr-3727	146	9	women	woman	NOUN
fsr-3727	146	10	should	should	AUX
fsr-3727	146	11	invest	invest	VERB
fsr-3727	146	12	in	in	ADP
fsr-3727	146	13	all	all	DET
fsr-3727	146	14	equity	equity	NOUN
fsr-3727	146	15	until	until	SCONJ
fsr-3727	146	16	they	they	PRON
fsr-3727	146	17	are	be	AUX
fsr-3727	146	18	about	about	ADV
fsr-3727	146	19	five	five	NUM
fsr-3727	146	20	years	year	NOUN
fsr-3727	146	21	older	old	ADJ
fsr-3727	146	22	than	than	ADP
fsr-3727	146	23	men	man	NOUN
fsr-3727	146	24	with	with	ADP
fsr-3727	146	25	the	the	DET
fsr-3727	146	26	same	same	ADJ
fsr-3727	146	27	wealth	wealth	NOUN
fsr-3727	146	28	-	-	PUNCT
fsr-3727	146	29	to	to	ADP
fsr-3727	146	30	-	-	PUNCT
fsr-3727	146	31	consumption	consumption	NOUN
fsr-3727	146	32	ratios	ratio	NOUN
fsr-3727	146	33	.	.	PUNCT
fsr-3727	147	1	2	2	X
fsr-3727	147	2	.	.	X
fsr-3727	147	3	women	woman	NOUN
fsr-3727	147	4	with	with	ADP
fsr-3727	147	5	quite	quite	ADV
fsr-3727	147	6	low	low	ADJ
fsr-3727	147	7	wealth	wealth	NOUN
fsr-3727	147	8	to	to	ADP
fsr-3727	147	9	consumption	consumption	NOUN
fsr-3727	147	10	ratios	ratio	NOUN
fsr-3727	147	11	-	-	PUNCT
fsr-3727	147	12	seven	seven	NUM
fsr-3727	147	13	or	or	CCONJ
fsr-3727	147	14	less	less	ADV
fsr-3727	147	15	-	-	PUNCT
fsr-3727	147	16	should	should	AUX
fsr-3727	147	17	invest	invest	VERB
fsr-3727	147	18	in	in	ADP
fsr-3727	147	19	all	all	DET
fsr-3727	147	20	equity	equity	NOUN
fsr-3727	147	21	as	as	ADV
fsr-3727	147	22	late	late	ADJ
fsr-3727	147	23	as	as	ADP
fsr-3727	147	24	80	80	NUM
fsr-3727	147	25	years	year	NOUN
fsr-3727	147	26	of	of	ADP
fsr-3727	147	27	age	age	NOUN
fsr-3727	147	28	.	.	PUNCT
fsr-3727	148	1	t	t	PROPN
fsr-3727	148	2	a	a	DET
fsr-3727	148	3	b	b	NOUN
fsr-3727	148	4	l	l	NOUN
fsr-3727	148	5	e	e	NOUN
fsr-3727	148	6	1	1	X
fsr-3727	148	7	.	.	PUNCT
fsr-3727	149	1	o	o	NOUN
fsr-3727	149	2	pt	pt	INTJ
fsr-3727	150	1	i	i	PRON
fsr-3727	150	2	m	m	VERB
fsr-3727	150	3	al	al	PROPN
fsr-3727	150	4	a	a	DET
fsr-3727	150	5	ll	ll	NOUN
fsr-3727	150	6	oc	oc	VERB
fsr-3727	150	7	at	at	ADP
fsr-3727	150	8	io	io	PROPN
fsr-3727	151	1	n	n	PROPN
fsr-3727	151	2	b	b	PROPN
fsr-3727	151	3	et	et	PROPN
fsr-3727	151	4	w	w	PROPN
fsr-3727	151	5	ee	ee	PROPN
fsr-3727	151	6	n	n	PROPN
fsr-3727	151	7	t	t	PROPN
fsr-3727	152	1	-b	-b	PUNCT
fsr-3727	152	2	il	il	PROPN
fsr-3727	152	3	ls	ls	PROPN
fsr-3727	152	4	a	a	DET
fsr-3727	152	5	nd	nd	NOUN
fsr-3727	152	6	e	e	X
fsr-3727	152	7	qu	qu	NOUN
fsr-3727	152	8	it	it	PRON
fsr-3727	152	9	ie	ie	ADV
fsr-3727	152	10	s	s	VERB
fsr-3727	152	11	p	p	NOUN
fsr-3727	152	12	a	a	X
fsr-3727	152	13	:	:	PUNCT
fsr-3727	152	14	w	w	NOUN
fsr-3727	152	15	om	om	PROPN
fsr-3727	152	16	en	en	PROPN
fsr-3727	152	17	w	w	PROPN
fsr-3727	152	18	ea	ea	PROPN
fsr-3727	152	19	lth	lth	NOUN
fsr-3727	152	20	to	to	ADP
fsr-3727	152	21	c	c	PROPN
fsr-3727	152	22	on	on	ADP
fsr-3727	152	23	su	su	PROPN
fsr-3727	152	24	m	m	PROPN
fsr-3727	152	25	pt	pt	PROPN
fsr-3727	152	26	io	io	PROPN
fsr-3727	152	27	n	n	ADV
fsr-3727	152	28	r	r	NOUN
fsr-3727	152	29	at	at	ADP
fsr-3727	152	30	io	io	X
fsr-3727	152	31	[	[	PUNCT
fsr-3727	152	32	6	6	NUM
fsr-3727	152	33	7	7	NUM
fsr-3727	152	34	8	8	NUM
fsr-3727	152	35	9	9	NUM
fsr-3727	152	36	10	10	NUM
fsr-3727	152	37	10	10	NUM
fsr-3727	152	38	.5	.5	NUM
fsr-3727	152	39	11	11	NUM
fsr-3727	152	40	11	11	NUM
fsr-3727	152	41	.5	.5	NUM
fsr-3727	152	42	12	12	NUM
fsr-3727	152	43	12	12	NUM
fsr-3727	152	44	.5	.5	NUM
fsr-3727	152	45	13	13	NUM
fsr-3727	152	46	13	13	NUM
fsr-3727	152	47	.5	.5	NUM
fsr-3727	152	48	i4	i4	PROPN
fsr-3727	152	49	14	14	NUM
fsr-3727	152	50	.5	.5	NUM
fsr-3727	152	51	1	1	NUM
fsr-3727	152	52	.	.	NOUN
fsr-3727	152	53	5	5	NUM
fsr-3727	153	1	16	16	NUM
fsr-3727	153	2	e	e	NOUN
fsr-3727	153	3	e	e	X
fsr-3727	153	4	e	e	X
fsr-3727	153	5	e	e	X
fsr-3727	153	6	e	e	X
fsr-3727	153	7	e	e	X
fsr-3727	153	8	e	e	X
fsr-3727	153	9	e	e	X
fsr-3727	153	10	e	e	X
fsr-3727	153	11	e	e	X
fsr-3727	153	12	e	e	X
fsr-3727	153	13	e	e	X
fsr-3727	153	14	e	e	X
fsr-3727	153	15	e	e	X
fsr-3727	153	16	e	e	X
fsr-3727	153	17	e	e	X
fsr-3727	153	18	f	f	X
fsr-3727	153	19	q	q	PROPN
fsr-3727	153	20	e	e	X
fsr-3727	153	21	e	e	X
fsr-3727	153	22	e	e	X
fsr-3727	153	23	e	e	X
fsr-3727	153	24	e	e	X
fsr-3727	153	25	e	e	X
fsr-3727	153	26	e	e	X
fsr-3727	153	27	e	e	X
fsr-3727	153	28	e	e	X
fsr-3727	153	29	e	e	X
fsr-3727	153	30	e	e	X
fsr-3727	153	31	e	e	X
fsr-3727	153	32	e	e	X
fsr-3727	153	33	e	e	X
fsr-3727	153	34	e	e	X
fsr-3727	153	35	e	e	X
fsr-3727	153	36	e	e	X
fsr-3727	153	37	e	e	X
fsr-3727	153	38	e	e	X
fsr-3727	153	39	e	e	X
fsr-3727	153	40	e	e	X
fsr-3727	153	41	e	e	X
fsr-3727	153	42	e	e	X
fsr-3727	153	43	e	e	X
fsr-3727	153	44	e	e	X
fsr-3727	153	45	e	e	X
fsr-3727	153	46	e	e	X
fsr-3727	153	47	e	e	X
fsr-3727	153	48	e	e	X
fsr-3727	153	49	e	e	X
fsr-3727	153	50	e	e	X
fsr-3727	153	51	e	e	X
fsr-3727	153	52	p	p	PROPN
fsr-3727	153	53	e	e	X
fsr-3727	153	54	e	e	X
fsr-3727	153	55	e	e	X
fsr-3727	153	56	e	e	X
fsr-3727	153	57	e	e	X
fsr-3727	153	58	e	e	X
fsr-3727	153	59	e	e	X
fsr-3727	153	60	e	e	X
fsr-3727	153	61	e	e	X
fsr-3727	153	62	e	e	X
fsr-3727	153	63	e	e	X
fsr-3727	153	64	e	e	X
fsr-3727	153	65	e	e	X
fsr-3727	153	66	e	e	X
fsr-3727	153	67	0	0	NUM
fsr-3727	153	68	.	.	PROPN
fsr-3727	153	69	17	17	NUM
fsr-3727	153	70	1	1	NUM
fsr-3727	153	71	0	0	NUM
fsr-3727	153	72	.	.	PUNCT
fsr-3727	154	1	71	71	NUM
fsr-3727	154	2	0	0	NUM
fsr-3727	154	3	e	e	NOUN
fsr-3727	154	4	e	e	X
fsr-3727	154	5	e	e	X
fsr-3727	154	6	e	e	X
fsr-3727	154	7	e	e	X
fsr-3727	154	8	e	e	X
fsr-3727	154	9	e	e	X
fsr-3727	154	10	e	e	X
fsr-3727	154	11	e	e	X
fsr-3727	154	12	0	0	NUM
fsr-3727	154	13	.	.	PUNCT
fsr-3727	155	1	38	38	NUM
fsr-3727	155	2	6	6	NUM
fsr-3727	155	3	0	0	NUM
fsr-3727	155	4	.	.	PUNCT
fsr-3727	156	1	69	69	NUM
fsr-3727	156	2	0	0	NUM
fsr-3727	156	3	0	0	NUM
fsr-3727	156	4	.	.	X
fsr-3727	157	1	78	78	NUM
fsr-3727	157	2	0	0	NUM
fsr-3727	157	3	0	0	NUM
fsr-3727	157	4	.	.	PUNCT
fsr-3727	158	1	82	82	NUM
fsr-3727	158	2	3	3	NUM
fsr-3727	158	3	0	0	NUM
fsr-3727	158	4	.	.	PUNCT
fsr-3727	159	1	84	84	NUM
fsr-3727	159	2	9	9	NUM
fsr-3727	159	3	0	0	NUM
fsr-3727	159	4	.	.	PUNCT
fsr-3727	160	1	86	86	NUM
fsr-3727	160	2	6	6	NUM
fsr-3727	160	3	0	0	NUM
fsr-3727	160	4	.	.	NOUN
fsr-3727	160	5	88	88	NUM
fsr-3727	160	6	6	6	NUM
fsr-3727	160	7	e	e	NOUN
fsr-3727	160	8	e	e	X
fsr-3727	160	9	e	e	X
fsr-3727	160	10	e	e	X
fsr-3727	160	11	0	0	NUM
fsr-3727	160	12	.	.	PUNCT
fsr-3727	160	13	51	51	NUM
fsr-3727	160	14	2	2	NUM
fsr-3727	160	15	0	0	NUM
fsr-3727	160	16	.	.	PUNCT
fsr-3727	161	1	76	76	NUM
fsr-3727	161	2	6	6	NUM
fsr-3727	161	3	0	0	NUM
fsr-3727	161	4	.	.	PUNCT
fsr-3727	162	1	83	83	NUM
fsr-3727	162	2	3	3	NUM
fsr-3727	162	3	0	0	NUM
fsr-3727	162	4	.	.	PUNCT
fsr-3727	163	1	86	86	NUM
fsr-3727	163	2	4	4	NUM
fsr-3727	163	3	0	0	NUM
fsr-3727	163	4	.	.	PUNCT
fsr-3727	163	5	88	88	NUM
fsr-3727	163	6	2	2	NUM
fsr-3727	163	7	0	0	NUM
fsr-3727	163	8	.	.	NOUN
fsr-3727	163	9	89	89	NUM
fsr-3727	163	10	4	4	NUM
fsr-3727	163	11	0	0	NUM
fsr-3727	163	12	.	.	PUNCT
fsr-3727	163	13	90	90	NUM
fsr-3727	163	14	2	2	NUM
fsr-3727	163	15	0	0	NUM
fsr-3727	163	16	.	.	PUNCT
fsr-3727	163	17	90	90	NUM
fsr-3727	163	18	8	8	NUM
fsr-3727	163	19	0	0	NUM
fsr-3727	163	20	.	.	PUNCT
fsr-3727	164	1	91	91	NUM
fsr-3727	164	2	3	3	NUM
fsr-3727	164	3	0	0	NUM
fsr-3727	164	4	.	.	PUNCT
fsr-3727	165	1	91	91	NUM
fsr-3727	165	2	7	7	NUM
fsr-3727	165	3	0	0	NUM
fsr-3727	165	4	.	.	PUNCT
fsr-3727	166	1	92	92	NUM
fsr-3727	166	2	0	0	NUM
fsr-3727	166	3	0	0	NUM
fsr-3727	166	4	.	.	PUNCT
fsr-3727	167	1	92	92	NUM
fsr-3727	167	2	4	4	NUM
fsr-3727	167	3	i	i	NOUN
fsr-3727	167	4	k	k	NOUN
fsr-3727	167	5	e	e	X
fsr-3727	167	6	e	e	PROPN
fsr-3727	167	7	0	0	NUM
fsr-3727	167	8	.	.	PUNCT
fsr-3727	167	9	79	79	NUM
fsr-3727	167	10	5	5	NUM
fsr-3727	167	11	0	0	NUM
fsr-3727	167	12	.	.	NOUN
fsr-3727	167	13	89	89	NUM
fsr-3727	167	14	1	1	NUM
fsr-3727	167	15	0	0	NUM
fsr-3727	167	16	.	.	PUNCT
fsr-3727	168	1	91	91	NUM
fsr-3727	168	2	4	4	NUM
fsr-3727	168	3	0	0	NUM
fsr-3727	168	4	.	.	PUNCT
fsr-3727	169	1	92	92	NUM
fsr-3727	169	2	0	0	NUM
fsr-3727	169	3	0	0	NUM
fsr-3727	169	4	.	.	PUNCT
fsr-3727	170	1	92	92	NUM
fsr-3727	170	2	4	4	NUM
fsr-3727	170	3	0	0	NUM
fsr-3727	170	4	.	.	PUNCT
fsr-3727	171	1	92	92	NUM
fsr-3727	171	2	8	8	NUM
fsr-3727	171	3	0	0	NUM
fsr-3727	171	4	.	.	PUNCT
fsr-3727	172	1	93	93	NUM
fsr-3727	172	2	0	0	NUM
fsr-3727	172	3	0	0	NUM
fsr-3727	172	4	.	.	PUNCT
fsr-3727	173	1	93	93	NUM
fsr-3727	173	2	2	2	NUM
fsr-3727	173	3	0	0	NUM
fsr-3727	173	4	.	.	PUNCT
fsr-3727	174	1	93	93	NUM
fsr-3727	174	2	4	4	NUM
fsr-3727	174	3	0	0	NUM
fsr-3727	174	4	.	.	PUNCT
fsr-3727	175	1	93	93	NUM
fsr-3727	175	2	5	5	NUM
fsr-3727	175	3	0	0	NUM
fsr-3727	175	4	.	.	PUNCT
fsr-3727	176	1	93	93	NUM
fsr-3727	176	2	7	7	NUM
fsr-3727	176	3	0	0	NUM
fsr-3727	176	4	.	.	PUNCT
fsr-3727	177	1	93	93	NUM
fsr-3727	177	2	8	8	NUM
fsr-3727	177	3	0	0	NUM
fsr-3727	177	4	.	.	PUNCT
fsr-3727	178	1	93	93	NUM
fsr-3727	178	2	9	9	NUM
fsr-3727	178	3	0	0	NUM
fsr-3727	178	4	.	.	PUNCT
fsr-3727	179	1	94	94	NUM
fsr-3727	179	2	0	0	NUM
fsr-3727	179	3	0	0	NUM
fsr-3727	179	4	0	0	NUM
fsr-3727	179	5	.	.	PUNCT
fsr-3727	180	1	86	86	NUM
fsr-3727	180	2	2	2	NUM
fsr-3727	180	3	0	0	NUM
fsr-3727	180	4	.	.	PUNCT
fsr-3727	181	1	91	91	NUM
fsr-3727	181	2	8	8	NUM
fsr-3727	181	3	0	0	NUM
fsr-3727	181	4	.	.	PUNCT
fsr-3727	182	1	93	93	NUM
fsr-3727	182	2	2	2	NUM
fsr-3727	182	3	0	0	NUM
fsr-3727	182	4	.	.	PUNCT
fsr-3727	183	1	93	93	NUM
fsr-3727	183	2	8	8	NUM
fsr-3727	183	3	0	0	NUM
fsr-3727	183	4	.	.	PUNCT
fsr-3727	183	5	94	94	NUM
fsr-3727	183	6	1	1	NUM
fsr-3727	183	7	0	0	NUM
fsr-3727	183	8	.	.	PUNCT
fsr-3727	183	9	94	94	NUM
fsr-3727	183	10	2	2	NUM
fsr-3727	183	11	0	0	NUM
fsr-3727	183	12	.	.	PUNCT
fsr-3727	183	13	94	94	NUM
fsr-3727	183	14	4	4	NUM
fsr-3727	183	15	0	0	NUM
fsr-3727	183	16	.	.	PUNCT
fsr-3727	183	17	94	94	NUM
fsr-3727	183	18	4	4	NUM
fsr-3727	183	19	0	0	NUM
fsr-3727	183	20	.	.	PUNCT
fsr-3727	183	21	94	94	NUM
fsr-3727	183	22	5	5	NUM
fsr-3727	183	23	0	0	NUM
fsr-3727	183	24	.	.	PUNCT
fsr-3727	183	25	94	94	NUM
fsr-3727	183	26	6	6	NUM
fsr-3727	183	27	0	0	NUM
fsr-3727	183	28	.	.	PUNCT
fsr-3727	183	29	94	94	NUM
fsr-3727	183	30	6	6	NUM
fsr-3727	183	31	0	0	NUM
fsr-3727	183	32	.	.	PUNCT
fsr-3727	183	33	94	94	NUM
fsr-3727	183	34	7	7	NUM
fsr-3727	183	35	0	0	NUM
fsr-3727	183	36	.	.	PUNCT
fsr-3727	183	37	94	94	NUM
fsr-3727	183	38	7	7	NUM
fsr-3727	183	39	0	0	NUM
fsr-3727	183	40	.	.	PUNCT
fsr-3727	183	41	94	94	NUM
fsr-3727	183	42	8	8	NUM
fsr-3727	183	43	0	0	NUM
fsr-3727	183	44	.	.	PUNCT
fsr-3727	183	45	94	94	NUM
fsr-3727	183	46	8	8	NUM
fsr-3727	183	47	0	0	NUM
fsr-3727	183	48	.	.	PUNCT
fsr-3727	183	49	94	94	NUM
fsr-3727	183	50	9	9	NUM
fsr-3727	183	51	0	0	NUM
fsr-3727	183	52	.	.	PUNCT
fsr-3727	183	53	94	94	NUM
fsr-3727	183	54	3	3	NUM
fsr-3727	183	55	0	0	NUM
fsr-3727	183	56	.	.	PUNCT
fsr-3727	183	57	94	94	NUM
fsr-3727	183	58	7	7	NUM
fsr-3727	183	59	0	0	NUM
fsr-3727	183	60	.	.	PUNCT
fsr-3727	183	61	94	94	NUM
fsr-3727	183	62	9	9	NUM
fsr-3727	183	63	0	0	NUM
fsr-3727	183	64	.	.	PUNCT
fsr-3727	184	1	95	95	NUM
fsr-3727	184	2	0	0	NUM
fsr-3727	184	3	0	0	NUM
fsr-3727	184	4	.	.	PUNCT
fsr-3727	185	1	95	95	NUM
fsr-3727	185	2	1	1	NUM
fsr-3727	185	3	0	0	NUM
fsr-3727	185	4	.	.	PUNCT
fsr-3727	186	1	95	95	NUM
fsr-3727	186	2	1	1	NUM
fsr-3727	186	3	0	0	NUM
fsr-3727	186	4	.	.	PUNCT
fsr-3727	187	1	95	95	NUM
fsr-3727	187	2	2	2	NUM
fsr-3727	187	3	0	0	NUM
fsr-3727	187	4	.	.	PUNCT
fsr-3727	188	1	95	95	NUM
fsr-3727	188	2	2	2	NUM
fsr-3727	188	3	0	0	NUM
fsr-3727	188	4	.	.	PUNCT
fsr-3727	189	1	95	95	NUM
fsr-3727	189	2	2	2	NUM
fsr-3727	189	3	0	0	NUM
fsr-3727	189	4	.	.	PUNCT
fsr-3727	190	1	95	95	NUM
fsr-3727	190	2	2	2	NUM
fsr-3727	190	3	0	0	NUM
fsr-3727	190	4	.	.	PUNCT
fsr-3727	191	1	95	95	NUM
fsr-3727	191	2	3	3	NUM
fsr-3727	191	3	0	0	NUM
fsr-3727	191	4	.	.	PUNCT
fsr-3727	192	1	95	95	NUM
fsr-3727	192	2	3	3	NUM
fsr-3727	192	3	0	0	NUM
fsr-3727	192	4	.	.	PUNCT
fsr-3727	193	1	95	95	NUM
fsr-3727	193	2	3	3	NUM
fsr-3727	193	3	0	0	NUM
fsr-3727	193	4	.	.	PUNCT
fsr-3727	194	1	95	95	NUM
fsr-3727	194	2	3	3	NUM
fsr-3727	194	3	0	0	NUM
fsr-3727	194	4	.	.	PUNCT
fsr-3727	195	1	95	95	NUM
fsr-3727	195	2	3	3	NUM
fsr-3727	195	3	0	0	NUM
fsr-3727	195	4	.	.	PUNCT
fsr-3727	196	1	95	95	NUM
fsr-3727	196	2	4	4	NUM
fsr-3727	196	3	?	?	PUNCT
fsr-3727	197	1	b	b	X
fsr-3727	197	2	:	:	PUNCT
fsr-3727	197	3	m	m	VERB
fsr-3727	197	4	en	en	PROPN
fsr-3727	197	5	w	w	PROPN
fsr-3727	197	6	ea	ea	PROPN
fsr-3727	197	7	lth	lth	NOUN
fsr-3727	197	8	fo	fo	INTJ
fsr-3727	197	9	c	c	PROPN
fsr-3727	197	10	on	on	ADP
fsr-3727	197	11	su	su	PROPN
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fsr-3727	197	25	10	10	NUM
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fsr-3727	197	33	i3	i3	NOUN
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fsr-3727	197	41	e	e	NOUN
fsr-3727	197	42	e	e	X
fsr-3727	197	43	e	e	X
fsr-3727	197	44	e	e	X
fsr-3727	197	45	e	e	X
fsr-3727	197	46	e	e	X
fsr-3727	197	47	e	e	X
fsr-3727	197	48	e	e	X
fsr-3727	197	49	e	e	X
fsr-3727	197	50	e	e	X
fsr-3727	197	51	e	e	X
fsr-3727	197	52	e	e	X
fsr-3727	197	53	e	e	X
fsr-3727	197	54	e	e	X
fsr-3727	197	55	e	e	X
fsr-3727	197	56	e	e	X
fsr-3727	197	57	e	e	X
fsr-3727	197	58	e	e	X
fsr-3727	197	59	e	e	X
fsr-3727	197	60	e	e	X
fsr-3727	197	61	e	e	X
fsr-3727	197	62	e	e	X
fsr-3727	197	63	e	e	X
fsr-3727	197	64	e	e	X
fsr-3727	197	65	e	e	X
fsr-3727	197	66	e	e	X
fsr-3727	197	67	e	e	X
fsr-3727	197	68	e	e	X
fsr-3727	197	69	e	e	X
fsr-3727	197	70	e	e	X
fsr-3727	197	71	e	e	X
fsr-3727	197	72	e	e	X
fsr-3727	197	73	e	e	X
fsr-3727	197	74	e	e	X
fsr-3727	197	75	e	e	X
fsr-3727	197	76	e	e	X
fsr-3727	197	77	e	e	X
fsr-3727	197	78	e	e	X
fsr-3727	197	79	e	e	X
fsr-3727	197	80	e	e	X
fsr-3727	197	81	e	e	X
fsr-3727	197	82	e	e	X
fsr-3727	197	83	e	e	X
fsr-3727	197	84	e	e	X
fsr-3727	197	85	e	e	PROPN
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fsr-3727	197	87	.	.	PROPN
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fsr-3727	197	89	8	8	NUM
fsr-3727	197	90	0	0	NUM
fsr-3727	197	91	.	.	PUNCT
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fsr-3727	198	2	3	3	NUM
fsr-3727	198	3	0	0	NUM
fsr-3727	198	4	.	.	PUNCT
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fsr-3727	198	6	4	4	NUM
fsr-3727	198	7	e	e	NOUN
fsr-3727	198	8	e	e	X
fsr-3727	198	9	e	e	X
fsr-3727	198	10	e	e	X
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fsr-3727	198	12	e	e	X
fsr-3727	198	13	e	e	X
fsr-3727	198	14	e	e	PROPN
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fsr-3727	198	19	0	0	NUM
fsr-3727	198	20	.	.	PUNCT
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fsr-3727	199	3	0	0	NUM
fsr-3727	199	4	.	.	PUNCT
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fsr-3727	200	2	4	4	NUM
fsr-3727	200	3	0	0	NUM
fsr-3727	200	4	.	.	PUNCT
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fsr-3727	201	3	0	0	NUM
fsr-3727	201	4	.	.	PUNCT
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fsr-3727	202	2	8	8	NUM
fsr-3727	202	3	0	0	NUM
fsr-3727	202	4	.	.	PUNCT
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fsr-3727	203	2	5	5	NUM
fsr-3727	203	3	0	0	NUM
fsr-3727	203	4	.	.	PUNCT
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fsr-3727	204	3	0	0	NUM
fsr-3727	204	4	.	.	NOUN
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fsr-3727	205	2	3	3	NUM
fsr-3727	205	3	e	e	NOUN
fsr-3727	205	4	e	e	X
fsr-3727	205	5	e	e	X
fsr-3727	205	6	e	e	X
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fsr-3727	205	8	.	.	PUNCT
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fsr-3727	206	3	0	0	NUM
fsr-3727	206	4	.	.	PUNCT
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fsr-3727	206	6	5	5	NUM
fsr-3727	206	7	0	0	NUM
fsr-3727	206	8	.	.	PUNCT
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fsr-3727	206	12	.	.	PUNCT
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fsr-3727	207	3	0	0	NUM
fsr-3727	207	4	.	.	NOUN
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fsr-3727	207	7	0	0	NUM
fsr-3727	207	8	.	.	NOUN
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fsr-3727	207	12	.	.	PUNCT
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fsr-3727	208	4	.	.	PUNCT
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fsr-3727	209	2	9	9	NUM
fsr-3727	209	3	0	0	NUM
fsr-3727	209	4	.	.	PUNCT
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fsr-3727	210	2	4	4	NUM
fsr-3727	210	3	0	0	NUM
fsr-3727	210	4	.	.	PUNCT
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fsr-3727	211	2	7	7	NUM
fsr-3727	211	3	0	0	NUM
fsr-3727	211	4	.	.	PUNCT
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fsr-3727	212	3	0	0	NUM
fsr-3727	212	4	.	.	PUNCT
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fsr-3727	213	2	4	4	NUM
fsr-3727	213	3	e	e	NOUN
fsr-3727	213	4	e	e	X
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fsr-3727	213	6	.	.	PUNCT
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fsr-3727	213	9	0	0	NUM
fsr-3727	213	10	.	.	NOUN
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fsr-3727	213	14	.	.	PUNCT
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fsr-3727	213	17	0	0	NUM
fsr-3727	213	18	.	.	NOUN
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fsr-3727	213	21	0	0	NUM
fsr-3727	213	22	.	.	PUNCT
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fsr-3727	213	25	0	0	NUM
fsr-3727	213	26	.	.	PUNCT
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fsr-3727	213	30	.	.	PUNCT
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fsr-3727	213	34	.	.	PUNCT
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fsr-3727	214	3	0	0	NUM
fsr-3727	214	4	.	.	PUNCT
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fsr-3727	215	3	0	0	NUM
fsr-3727	215	4	.	.	PUNCT
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fsr-3727	216	2	4	4	NUM
fsr-3727	216	3	0	0	NUM
fsr-3727	216	4	.	.	PUNCT
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fsr-3727	217	2	5	5	NUM
fsr-3727	217	3	0	0	NUM
fsr-3727	217	4	.	.	PUNCT
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fsr-3727	218	2	6	6	NUM
fsr-3727	218	3	0	0	NUM
fsr-3727	218	4	.	.	PUNCT
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fsr-3727	219	2	7	7	NUM
fsr-3727	219	3	0	0	NUM
fsr-3727	219	4	.	.	PUNCT
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fsr-3727	220	2	9	9	NUM
fsr-3727	220	3	0	0	NUM
fsr-3727	220	4	.	.	PUNCT
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fsr-3727	221	3	0	0	NUM
fsr-3727	221	4	.	.	PUNCT
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fsr-3727	222	2	3	3	NUM
fsr-3727	222	3	0	0	NUM
fsr-3727	222	4	.	.	PUNCT
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fsr-3727	223	2	4	4	NUM
fsr-3727	223	3	0	0	NUM
fsr-3727	223	4	.	.	PUNCT
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fsr-3727	224	2	3	3	NUM
fsr-3727	224	3	0	0	NUM
fsr-3727	224	4	.	.	PUNCT
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fsr-3727	225	2	7	7	NUM
fsr-3727	225	3	0	0	NUM
fsr-3727	225	4	.	.	PUNCT
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fsr-3727	226	2	9	9	NUM
fsr-3727	226	3	0	0	NUM
fsr-3727	226	4	.	.	PUNCT
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fsr-3727	227	2	0	0	NUM
fsr-3727	227	3	0	0	NUM
fsr-3727	227	4	.	.	PUNCT
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fsr-3727	228	2	1	1	NUM
fsr-3727	228	3	0	0	NUM
fsr-3727	228	4	.	.	PUNCT
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fsr-3727	229	2	2	2	NUM
fsr-3727	229	3	0	0	NUM
fsr-3727	229	4	.	.	PUNCT
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fsr-3727	230	2	3	3	NUM
fsr-3727	230	3	0	0	NUM
fsr-3727	230	4	.	.	PUNCT
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fsr-3727	231	2	4	4	NUM
fsr-3727	231	3	0	0	NUM
fsr-3727	231	4	.	.	PUNCT
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fsr-3727	232	2	4	4	NUM
fsr-3727	232	3	0	0	NUM
fsr-3727	232	4	.	.	PUNCT
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fsr-3727	233	2	5	5	NUM
fsr-3727	233	3	0	0	NUM
fsr-3727	233	4	.	.	PUNCT
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fsr-3727	234	2	5	5	NUM
fsr-3727	234	3	0	0	NUM
fsr-3727	234	4	.	.	PUNCT
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fsr-3727	235	2	6	6	NUM
fsr-3727	235	3	0	0	NUM
fsr-3727	235	4	.	.	PUNCT
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fsr-3727	236	3	0	0	NUM
fsr-3727	236	4	.	.	PUNCT
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fsr-3727	237	2	3	3	NUM
fsr-3727	237	3	0	0	NUM
fsr-3727	237	4	.	.	PUNCT
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fsr-3727	238	3	0	0	NUM
fsr-3727	238	4	.	.	PUNCT
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fsr-3727	239	2	4	4	NUM
fsr-3727	239	3	0	0	NUM
fsr-3727	239	4	.	.	PUNCT
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fsr-3727	240	3	0	0	NUM
fsr-3727	240	4	.	.	PUNCT
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fsr-3727	241	3	0	0	NUM
fsr-3727	241	4	.	.	PUNCT
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fsr-3727	242	3	0	0	NUM
fsr-3727	242	4	.	.	PUNCT
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fsr-3727	243	3	0	0	NUM
fsr-3727	243	4	.	.	PUNCT
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fsr-3727	244	4	.	.	PUNCT
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fsr-3727	245	3	0	0	NUM
fsr-3727	245	4	.	.	PUNCT
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fsr-3727	246	3	0	0	NUM
fsr-3727	246	4	.	.	PUNCT
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fsr-3727	247	3	0	0	NUM
fsr-3727	247	4	.	.	PUNCT
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fsr-3727	248	3	0	0	NUM
fsr-3727	248	4	.	.	PUNCT
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fsr-3727	249	3	0	0	NUM
fsr-3727	249	4	.	.	PUNCT
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fsr-3727	250	3	0	0	NUM
fsr-3727	250	4	.	.	PUNCT
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fsr-3727	251	2	1	1	NUM
fsr-3727	251	3	0	0	NUM
fsr-3727	251	4	.	.	PUNCT
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fsr-3727	252	2	1	1	NUM
fsr-3727	252	3	0	0	NUM
fsr-3727	252	4	.	.	PUNCT
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fsr-3727	252	7	0	0	NUM
fsr-3727	252	8	.	.	PUNCT
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fsr-3727	253	2	0	0	NUM
fsr-3727	253	3	0	0	NUM
fsr-3727	253	4	.	.	PUNCT
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fsr-3727	254	3	0	0	NUM
fsr-3727	254	4	.	.	PUNCT
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fsr-3727	255	3	0	0	NUM
fsr-3727	255	4	.	.	PUNCT
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fsr-3727	256	4	.	.	PUNCT
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fsr-3727	257	3	0	0	NUM
fsr-3727	257	4	.	.	PUNCT
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fsr-3727	258	3	0	0	NUM
fsr-3727	258	4	.	.	PUNCT
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fsr-3727	259	2	4	4	NUM
fsr-3727	259	3	0	0	NUM
fsr-3727	259	4	.	.	PUNCT
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fsr-3727	260	2	4	4	NUM
fsr-3727	260	3	0	0	NUM
fsr-3727	260	4	.	.	PUNCT
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fsr-3727	261	2	4	4	NUM
fsr-3727	261	3	0	0	NUM
fsr-3727	261	4	.	.	PUNCT
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fsr-3727	262	3	0	0	NUM
fsr-3727	262	4	.	.	PUNCT
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fsr-3727	263	3	0	0	NUM
fsr-3727	263	4	.	.	PUNCT
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fsr-3727	264	2	4	4	NUM
fsr-3727	264	3	0	0	NUM
fsr-3727	264	4	.	.	PUNCT
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fsr-3727	265	2	4	4	NUM
fsr-3727	265	3	0	0	NUM
fsr-3727	265	4	.	.	PUNCT
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fsr-3727	266	2	4	4	NUM
fsr-3727	266	3	0	0	NUM
fsr-3727	266	4	.	.	PUNCT
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fsr-3727	267	2	5	5	NUM
fsr-3727	267	3	a	a	DET
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fsr-3727	267	14	a	a	DET
fsr-3727	267	15	ge	ge	PROPN
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fsr-3727	267	25	n	n	NUM
fsr-3727	267	26	ot	ot	NOUN
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fsr-3727	267	28	:	:	PUNCT
fsr-3727	267	29	t	t	PROPN
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fsr-3727	268	2	s	s	X
fsr-3727	268	3	ta	ta	X
fsr-3727	268	4	bl	bl	X
fsr-3727	268	5	e	e	X
fsr-3727	268	6	pr	pr	NOUN
fsr-3727	268	7	es	es	VERB
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fsr-3727	268	9	ts	ts	X
fsr-3727	268	10	t	t	PROPN
fsr-3727	269	1	he	he	PRON
fsr-3727	269	2	f	f	PROPN
fsr-3727	270	1	ra	ra	INTJ
fsr-3727	270	2	ct	ct	PROPN
fsr-3727	270	3	io	io	PROPN
fsr-3727	271	1	n	n	PROPN
fsr-3727	271	2	of	of	ADP
fsr-3727	271	3	in	in	ADP
fsr-3727	271	4	ve	ve	PROPN
fsr-3727	271	5	st	st	PROPN
fsr-3727	271	6	m	m	PROPN
fsr-3727	271	7	en	en	PROPN
fsr-3727	271	8	t	t	PROPN
fsr-3727	271	9	ca	can	AUX
fsr-3727	271	10	pi	pi	VERB
fsr-3727	271	11	ta	ta	PROPN
fsr-3727	271	12	l	l	PROPN
fsr-3727	271	13	at	at	ADP
fsr-3727	271	14	re	re	PART
fsr-3727	271	15	tir	tir	VERB
fsr-3727	271	16	em	em	PRON
fsr-3727	271	17	en	en	PROPN
fsr-3727	271	18	t	t	PROPN
fsr-3727	271	19	to	to	ADP
fsr-3727	271	20	b	b	PROPN
fsr-3727	271	21	e	e	PROPN
fsr-3727	271	22	al	al	PROPN
fsr-3727	271	23	lo	lo	PROPN
fsr-3727	271	24	ca	can	AUX
fsr-3727	271	25	te	te	VERB
fsr-3727	271	26	d	d	X
fsr-3727	271	27	to	to	ADP
fsr-3727	271	28	t	t	PROPN
fsr-3727	271	29	-b	-b	PUNCT
fsr-3727	271	30	ill	ill	ADJ
fsr-3727	271	31	s	s	PART
fsr-3727	271	32	(	(	PUNCT
fsr-3727	271	33	a	a	DET
fsr-3727	271	34	lp	lp	INTJ
fsr-3727	271	35	ha	ha	INTJ
fsr-3727	271	36	f	f	X
fsr-3727	271	37	ro	ro	INTJ
fsr-3727	271	38	m	m	PROPN
fsr-3727	271	39	e	e	PROPN
fsr-3727	271	40	qu	qu	PROPN
fsr-3727	271	41	at	at	ADP
fsr-3727	271	42	io	io	PROPN
fsr-3727	271	43	n	n	PROPN
fsr-3727	271	44	(	(	PUNCT
fsr-3727	271	45	6	6	NUM
fsr-3727	271	46	)	)	PUNCT
fsr-3727	271	47	)	)	PUNCT
fsr-3727	271	48	.	.	PUNCT
fsr-3727	272	1	t	t	PROPN
fsr-3727	272	2	he	he	PRON
fsr-3727	272	3	se	se	PROPN
fsr-3727	272	4	e	e	PROPN
fsr-3727	272	5	st	st	PROPN
fsr-3727	273	1	i	i	PRON
fsr-3727	273	2	m	m	VERB
fsr-3727	273	3	at	at	ADP
fsr-3727	273	4	es	es	X
fsr-3727	273	5	u	u	X
fsr-3727	273	6	se	se	X
fsr-3727	273	7	th	th	X
fsr-3727	273	8	e	e	PROPN
fsr-3727	273	9	hi	hi	PROPN
fsr-3727	273	10	st	st	PROPN
fsr-3727	273	11	or	or	CCONJ
fsr-3727	274	1	ic	ic	INTJ
fsr-3727	274	2	al	al	PROPN
fsr-3727	274	3	r	r	NOUN
fsr-3727	275	1	et	et	NOUN
fsr-3727	276	1	ur	ur	INTJ
fsr-3727	277	1	ns	ns	INTJ
fsr-3727	277	2	in	in	ADP
fsr-3727	277	3	h	h	NOUN
fsr-3727	277	4	at	at	ADP
fsr-3727	277	5	ch	ch	PROPN
fsr-3727	277	6	a	a	PRON
fsr-3727	277	7	nd	nd	INTJ
fsr-3727	277	8	w	w	NOUN
fsr-3727	277	9	hi	hi	INTJ
fsr-3727	277	10	te	te	PROPN
fsr-3727	277	11	(	(	PUNCT
fsr-3727	277	12	19	19	NUM
fsr-3727	277	13	88	88	NUM
fsr-3727	277	14	)	)	PUNCT
fsr-3727	278	1	a	a	DET
fsr-3727	278	2	nd	nd	ADV
fsr-3727	278	3	th	th	X
fsr-3727	278	4	e	e	X
fsr-3727	278	5	re	re	X
fsr-3727	278	6	qu	qu	PROPN
fsr-3727	278	7	ir	ir	PROPN
fsr-3727	278	8	ed	ed	NOUN
fsr-3727	278	9	r	r	NOUN
fsr-3727	278	10	et	et	NOUN
fsr-3727	278	11	ur	ur	INTJ
fsr-3727	278	12	ns	ns	INTJ
fsr-3727	278	13	(	(	PUNCT
fsr-3727	278	14	6	6	NUM
fsr-3727	278	15	)	)	PUNCT
fsr-3727	278	16	f	f	NOUN
fsr-3727	279	1	ro	ro	INTJ
fsr-3727	279	2	m	m	PROPN
fsr-3727	279	3	t	t	PROPN
fsr-3727	279	4	ab	ab	X
fsr-3727	279	5	le	le	X
fsr-3727	279	6	2	2	PROPN
fsr-3727	279	7	.	.	PUNCT
fsr-3727	280	1	t	t	PROPN
fsr-3727	280	2	he	he	PRON
fsr-3727	280	3	v	v	PROPN
fsr-3727	280	4	al	al	PROPN
fsr-3727	280	5	ue	ue	PROPN
fsr-3727	280	6	s	s	PROPN
fsr-3727	280	7	of	of	ADP
fsr-3727	280	8	a	a	DET
fsr-3727	280	9	lp	lp	NOUN
fsr-3727	281	1	ha	ha	INTJ
fsr-3727	281	2	i	i	PRON
fsr-3727	281	3	n	n	ADV
fsr-3727	281	4	th	th	X
fsr-3727	281	5	e	e	X
fsr-3727	281	6	ta	ta	X
fsr-3727	281	7	bl	bl	PROPN
fsr-3727	281	8	e	e	PROPN
fsr-3727	281	9	m	m	VERB
fsr-3727	281	10	us	us	PROPN
fsr-3727	281	11	t	t	PROPN
fsr-3727	281	12	b	b	PROPN
fsr-3727	281	13	e	e	PROPN
fsr-3727	281	14	in	in	ADP
fsr-3727	281	15	te	te	PROPN
fsr-3727	281	16	rp	rp	X
fsr-3727	281	17	re	re	X
fsr-3727	281	18	te	te	PROPN
fsr-3727	281	19	d	d	X
fsr-3727	281	20	ca	can	AUX
fsr-3727	281	21	re	re	ADP
fsr-3727	281	22	fu	fu	PROPN
fsr-3727	281	23	lly	lly	ADV
fsr-3727	281	24	.	.	PUNCT
fsr-3727	282	1	t	t	PROPN
fsr-3727	282	2	he	he	PRON
fsr-3727	282	3	ta	ta	PROPN
fsr-3727	282	4	bl	bl	PROPN
fsr-3727	282	5	e	e	NOUN
fsr-3727	283	1	sh	sh	PROPN
fsr-3727	283	2	ow	ow	PROPN
fsr-3727	283	3	s	s	PROPN
fsr-3727	283	4	al	al	PROPN
fsr-3727	283	5	ph	ph	PROPN
fsr-3727	283	6	as	as	ADP
fsr-3727	283	7	f	f	PROPN
fsr-3727	283	8	or	or	CCONJ
fsr-3727	283	9	d	d	PROPN
fsr-3727	283	10	if	if	SCONJ
fsr-3727	283	11	fe	fe	X
fsr-3727	283	12	re	re	AUX
fsr-3727	283	13	nt	not	PART
fsr-3727	283	14	r	r	VERB
fsr-3727	283	15	et	et	NOUN
fsr-3727	283	16	ir	ir	VERB
fsr-3727	283	17	em	em	PRON
fsr-3727	283	18	en	en	PROPN
fsr-3727	283	19	t	t	PROPN
fsr-3727	283	20	ag	ag	PROPN
fsr-3727	283	21	es	es	ADP
fsr-3727	283	22	a	a	DET
fsr-3727	283	23	nd	nd	INTJ
fsr-3727	283	24	le	le	X
fsr-3727	283	25	ve	ve	NOUN
fsr-3727	283	26	ls	ls	VERB
fsr-3727	283	27	o	o	X
fsr-3727	283	28	f	f	X
fsr-3727	283	29	w	w	PROPN
fsr-3727	283	30	ea	ea	PROPN
fsr-3727	283	31	lth	lth	PROPN
fsr-3727	283	32	r	r	PROPN
fsr-3727	283	33	el	el	PROPN
fsr-3727	283	34	at	at	ADP
fsr-3727	283	35	iv	iv	NUM
fsr-3727	283	36	e	e	NOUN
fsr-3727	283	37	to	to	ADP
fsr-3727	283	38	th	th	ADP
fsr-3727	283	39	e	e	X
fsr-3727	283	40	co	co	X
fsr-3727	283	41	ns	ns	PROPN
fsr-3727	283	42	um	um	INTJ
fsr-3727	283	43	pt	pt	X
fsr-3727	283	44	io	io	X
fsr-3727	283	45	n	n	PROPN
fsr-3727	283	46	in	in	ADP
fsr-3727	283	47	c	c	PROPN
fsr-3727	283	48	on	on	ADP
fsr-3727	283	49	st	st	PROPN
fsr-3727	283	50	an	an	DET
fsr-3727	283	51	t	t	PROPN
fsr-3727	283	52	do	do	AUX
fsr-3727	283	53	lla	lla	NOUN
fsr-3727	283	54	rs	rs	VERB
fsr-3727	283	55	to	to	ADP
fsr-3727	283	56	b	b	PROPN
fsr-3727	283	57	e	e	NOUN
fsr-3727	283	58	fu	fu	NOUN
fsr-3727	283	59	nd	nd	ADP
fsr-3727	283	60	ed	ed	PROPN
fsr-3727	283	61	b	b	PROPN
fsr-3727	283	62	y	y	X
fsr-3727	283	63	th	th	X
fsr-3727	283	64	e	e	X
fsr-3727	283	65	w	w	PROPN
fsr-3727	283	66	ea	ea	PROPN
fsr-3727	283	67	lth	lth	PROPN
fsr-3727	283	68	.	.	PUNCT
fsr-3727	284	1	f	f	PROPN
fsr-3727	284	2	or	or	CCONJ
fsr-3727	284	3	e	e	X
fsr-3727	284	4	xa	xa	PROPN
fsr-3727	284	5	m	m	PROPN
fsr-3727	284	6	pl	pl	PROPN
fsr-3727	284	7	e	e	NOUN
fsr-3727	284	8	,	,	PUNCT
fsr-3727	284	9	a	a	DET
fsr-3727	284	10	ra	ra	NOUN
fsr-3727	284	11	tio	tio	NOUN
fsr-3727	284	12	o	o	PROPN
fsr-3727	284	13	f	f	PROPN
fsr-3727	284	14	10	10	NUM
fsr-3727	284	15	co	co	NOUN
fsr-3727	284	16	ul	ul	PROPN
fsr-3727	284	17	d	d	NOUN
fsr-3727	284	18	be	be	VERB
fsr-3727	284	19	$	$	SYM
fsr-3727	284	20	40	40	NUM
fsr-3727	284	21	,	,	PUNCT
fsr-3727	284	22	0	0	NUM
fsr-3727	284	23	00	00	PUNCT
fsr-3727	285	1	d	d	NOUN
fsr-3727	285	2	es	es	X
fsr-3727	285	3	ir	ir	PROPN
fsr-3727	285	4	ed	ed	PROPN
fsr-3727	285	5	c	c	PROPN
fsr-3727	285	6	on	on	ADP
fsr-3727	285	7	su	su	PROPN
fsr-3727	285	8	m	m	PROPN
fsr-3727	285	9	pt	pt	PROPN
fsr-3727	285	10	io	io	ADJ
fsr-3727	285	11	n	n	PROPN
fsr-3727	285	12	in	in	ADP
fsr-3727	285	13	r	r	NOUN
fsr-3727	285	14	ea	ea	NUM
fsr-3727	285	15	l	l	NOUN
fsr-3727	285	16	t	t	NOUN
fsr-3727	285	17	er	er	INTJ
fsr-3727	285	18	m	m	NOUN
fsr-3727	285	19	s	s	PROPN
fsr-3727	285	20	to	to	PART
fsr-3727	285	21	b	b	PROPN
fsr-3727	285	22	e	e	NOUN
fsr-3727	285	23	fu	fu	NOUN
fsr-3727	285	24	nd	nd	ADP
fsr-3727	285	25	ed	ed	PROPN
fsr-3727	285	26	b	b	PROPN
fsr-3727	285	27	y	y	PROPN
fsr-3727	285	28	$	$	SYM
fsr-3727	285	29	4	4	NUM
fsr-3727	285	30	00	00	NUM
fsr-3727	285	31	,	,	PUNCT
fsr-3727	285	32	0	0	NUM
fsr-3727	285	33	00	00	PUNCT
fsr-3727	286	1	in	in	ADP
fsr-3727	286	2	s	s	X
fsr-3727	286	3	av	av	PROPN
fsr-3727	286	4	in	in	ADP
fsr-3727	286	5	gs	gs	PROPN
fsr-3727	286	6	.	.	PUNCT
fsr-3727	287	1	t	t	PROPN
fsr-3727	287	2	he	he	PRON
fsr-3727	287	3	‘	'	PUNCT
fsr-3727	287	4	e	e	X
fsr-3727	287	5	’	'	PUNCT
fsr-3727	287	6	e	e	X
fsr-3727	287	7	nt	not	PART
fsr-3727	287	8	ri	ri	PROPN
fsr-3727	287	9	es	es	ADP
fsr-3727	287	10	a	a	DET
fsr-3727	287	11	re	re	NOUN
fsr-3727	287	12	a	a	DET
fsr-3727	287	13	ll	ll	NOUN
fsr-3727	287	14	eq	eq	ADP
fsr-3727	287	15	ui	ui	PROPN
fsr-3727	288	1	ty	ty	INTJ
fsr-3727	288	2	p	p	NOUN
fsr-3727	289	1	or	or	CCONJ
fsr-3727	289	2	tf	tf	INTJ
fsr-3727	289	3	ol	ol	PROPN
fsr-3727	289	4	io	io	PROPN
fsr-3727	289	5	s.	s.	PROPN
fsr-3727	289	6	t	t	PROPN
fsr-3727	289	7	he	he	PRON
fsr-3727	289	8	n	n	PROPN
fsr-3727	289	9	on	on	ADP
fsr-3727	289	10	-e	-e	PROPN
fsr-3727	289	11	v	v	PROPN
fsr-3727	289	12	al	al	PROPN
fsr-3727	289	13	ue	ue	PROPN
fsr-3727	289	14	s	s	PROPN
fsr-3727	289	15	ar	ar	PROPN
fsr-3727	289	16	e	e	PROPN
fsr-3727	289	17	op	op	NOUN
fsr-3727	289	18	tim	tim	PROPN
fsr-3727	289	19	al	al	PROPN
fsr-3727	289	20	p	p	PROPN
fsr-3727	289	21	or	or	CCONJ
fsr-3727	289	22	tf	tf	INTJ
fsr-3727	290	1	ol	ol	PROPN
fsr-3727	290	2	io	io	X
fsr-3727	290	3	s	s	AUX
fsr-3727	290	4	co	co	AUX
fsr-3727	290	5	nt	not	PART
fsr-3727	290	6	ai	ai	VERB
fsr-3727	290	7	ni	ni	PROPN
fsr-3727	290	8	ng	ng	PROPN
fsr-3727	290	9	b	b	PROPN
fsr-3727	290	10	ot	ot	INTJ
fsr-3727	290	11	h	h	PROPN
fsr-3727	290	12	t	t	PROPN
fsr-3727	290	13	-b	-b	PUNCT
fsr-3727	290	14	ill	ill	ADV
fsr-3727	290	15	s	s	VERB
fsr-3727	290	16	an	an	DET
fsr-3727	290	17	d	d	NOUN
fsr-3727	290	18	eq	eq	ADP
fsr-3727	290	19	ui	ui	PROPN
fsr-3727	291	1	ty	ty	INTJ
fsr-3727	291	2	.	.	PUNCT
fsr-3727	292	1	t	t	PROPN
fsr-3727	292	2	he	he	PRON
fsr-3727	292	3	v	v	PROPN
fsr-3727	292	4	al	al	PROPN
fsr-3727	292	5	ue	ue	PROPN
fsr-3727	293	1	s	s	PROPN
fsr-3727	293	2	in	in	ADP
fsr-3727	293	3	b	b	PROPN
fsr-3727	293	4	ol	ol	PROPN
fsr-3727	293	5	dfa	dfa	PROPN
fsr-3727	293	6	ce	ce	PROPN
fsr-3727	293	7	a	a	X
fsr-3727	293	8	re	re	X
fsr-3727	293	9	p	p	NOUN
fsr-3727	293	10	or	or	CCONJ
fsr-3727	293	11	tf	tf	INTJ
fsr-3727	293	12	ol	ol	PROPN
fsr-3727	294	1	io	io	X
fsr-3727	294	2	s	s	PROPN
fsr-3727	294	3	w	w	VERB
fsr-3727	294	4	he	he	PRON
fsr-3727	294	5	re	re	PROPN
fsr-3727	294	6	t	t	PROPN
fsr-3727	294	7	he	he	PRON
fsr-3727	294	8	v	v	PROPN
fsr-3727	294	9	al	al	PROPN
fsr-3727	294	10	ue	ue	PROPN
fsr-3727	295	1	o	o	X
fsr-3727	295	2	f	f	PUNCT
fsr-3727	296	1	d	d	NOUN
fsr-3727	296	2	lie	lie	AUX
fsr-3727	296	3	s	s	X
fsr-3727	296	4	be	be	AUX
fsr-3727	296	5	tw	tw	INTJ
fsr-3727	296	6	ee	ee	ADP
fsr-3727	296	7	n	n	ADV
fsr-3727	296	8	ze	ze	PROPN
fsr-3727	296	9	ro	ro	X
fsr-3727	297	1	a	a	DET
fsr-3727	297	2	nd	nd	ADV
fsr-3727	297	3	th	th	X
fsr-3727	297	4	e	e	NOUN
fsr-3727	297	5	t	t	PROPN
fsr-3727	297	6	-b	-b	PUNCT
fsr-3727	297	7	ill	ill	ADJ
fsr-3727	297	8	r	r	NOUN
fsr-3727	297	9	at	at	ADP
fsr-3727	297	10	e	e	NOUN
fsr-3727	297	11	,	,	PUNCT
fsr-3727	297	12	w	w	VERB
fsr-3727	297	13	he	he	PRON
fsr-3727	297	14	re	re	X
fsr-3727	297	15	th	th	X
fsr-3727	297	16	e	e	X
fsr-3727	297	17	al	al	PROPN
fsr-3727	297	18	lo	lo	PROPN
fsr-3727	297	19	ca	can	AUX
fsr-3727	297	20	tio	tio	VERB
fsr-3727	297	21	n	n	PROPN
fsr-3727	297	22	de	de	X
fsr-3727	297	23	ci	ci	PROPN
fsr-3727	298	1	si	si	X
fsr-3727	299	1	on	on	ADP
fsr-3727	299	2	is	be	AUX
fsr-3727	299	3	p	p	PROPN
fsr-3727	299	4	ar	ar	PROPN
fsr-3727	299	5	tic	tic	PROPN
fsr-3727	299	6	ul	ul	INTJ
fsr-3727	299	7	ar	ar	NOUN
fsr-3727	299	8	ly	ly	AUX
fsr-3727	299	9	s	s	VERB
fsr-3727	299	10	ig	ig	PROPN
fsr-3727	299	11	ni	ni	PROPN
fsr-3727	299	12	fi	fi	NOUN
fsr-3727	299	13	ca	can	AUX
fsr-3727	299	14	nt	not	PART
fsr-3727	299	15	.	.	PUNCT
fsr-3727	300	1	i	i	PRON
fsr-3727	300	2	f	f	PROPN
fsr-3727	301	1	t	t	PROPN
fsr-3727	301	2	he	he	PRON
fsr-3727	301	3	re	re	VERB
fsr-3727	301	4	qu	qu	PROPN
fsr-3727	301	5	ir	ir	PROPN
fsr-3727	301	6	ed	ed	NOUN
fsr-3727	301	7	r	r	NOUN
fsr-3727	301	8	ea	ea	NOUN
fsr-3727	301	9	l	l	NOUN
fsr-3727	301	10	r	r	NOUN
fsr-3727	301	11	at	at	ADP
fsr-3727	301	12	e	e	PROPN
fsr-3727	301	13	of	of	ADP
fsr-3727	301	14	re	re	PROPN
fsr-3727	301	15	tu	tu	PROPN
fsr-3727	301	16	rn	rn	PROPN
fsr-3727	301	17	is	be	AUX
fsr-3727	301	18	n	n	ADV
fsr-3727	301	19	on	on	ADP
fsr-3727	301	20	-p	-p	PUNCT
fsr-3727	301	21	os	os	PROPN
fsr-3727	301	22	iti	iti	PROPN
fsr-3727	301	23	ve	ve	PROPN
fsr-3727	301	24	,	,	PUNCT
fsr-3727	301	25	th	th	X
fsr-3727	301	26	e	e	NOUN
fsr-3727	301	27	pr	pr	NOUN
fsr-3727	301	28	oc	oc	NOUN
fsr-3727	301	29	ed	ed	NOUN
fsr-3727	302	1	ur	ur	INTJ
fsr-3727	302	2	e	e	PROPN
fsr-3727	302	3	pr	pr	NOUN
fsr-3727	303	1	od	od	INTJ
fsr-3727	303	2	uc	uc	INTJ
fsr-3727	303	3	es	es	ADP
fsr-3727	303	4	a	a	DET
fsr-3727	303	5	llo	llo	INTJ
fsr-3727	303	6	ca	ca	AUX
fsr-3727	303	7	tio	tio	INTJ
fsr-3727	304	1	ns	ns	INTJ
fsr-3727	304	2	ra	ra	PROPN
fsr-3727	304	3	ng	ng	PROPN
fsr-3727	304	4	in	in	ADP
fsr-3727	304	5	g	g	PROPN
fsr-3727	304	6	fr	fr	INTJ
fsr-3727	304	7	om	om	PROPN
fsr-3727	305	1	a	a	DET
fsr-3727	305	2	bo	bo	PROPN
fsr-3727	305	3	ut	ut	PROPN
fsr-3727	305	4	8	8	NUM
fsr-3727	305	5	6	6	NUM
fsr-3727	305	6	pe	pe	PROPN
fsr-3727	305	7	rc	rc	PROPN
fsr-3727	305	8	en	en	PROPN
fsr-3727	305	9	t	t	PROPN
fsr-3727	305	10	(	(	PUNCT
fsr-3727	305	11	i	i	PRON
fsr-3727	305	12	f	f	X
fsr-3727	305	13	th	th	X
fsr-3727	305	14	e	e	X
fsr-3727	305	15	ra	ra	PROPN
fsr-3727	306	1	te	te	INTJ
fsr-3727	306	2	i	i	PRON
fsr-3727	306	3	s	s	PROPN
fsr-3727	306	4	ze	ze	X
fsr-3727	306	5	ro	ro	NOUN
fsr-3727	306	6	)	)	PUNCT
fsr-3727	307	1	to	to	ADP
fsr-3727	307	2	9	9	NUM
fsr-3727	307	3	6	6	NUM
fsr-3727	307	4	pe	pe	PROPN
fsr-3727	307	5	rc	rc	PROPN
fsr-3727	307	6	en	en	PROPN
fsr-3727	307	7	t.	t.	PROPN
fsr-3727	307	8	h	h	PROPN
fsr-3727	308	1	er	er	INTJ
fsr-3727	308	2	e	e	X
fsr-3727	308	3	th	th	X
fsr-3727	308	4	e	e	X
fsr-3727	308	5	al	al	PROPN
fsr-3727	308	6	lo	lo	PROPN
fsr-3727	308	7	ca	can	AUX
fsr-3727	308	8	tio	tio	VERB
fsr-3727	308	9	n	n	PROPN
fsr-3727	308	10	de	de	X
fsr-3727	308	11	ci	ci	PROPN
fsr-3727	309	1	si	si	X
fsr-3727	310	1	on	on	ADP
fsr-3727	310	2	i	i	PRON
fsr-3727	310	3	s	s	VERB
fsr-3727	310	4	no	no	DET
fsr-3727	310	5	t	t	NOUN
fsr-3727	310	6	to	to	ADP
fsr-3727	310	7	o	o	PROPN
fsr-3727	310	8	si	si	PROPN
fsr-3727	310	9	gn	gn	INTJ
fsr-3727	311	1	if	if	SCONJ
fsr-3727	311	2	ic	ic	PROPN
fsr-3727	311	3	an	an	DET
fsr-3727	311	4	t	t	PROPN
fsr-3727	311	5	,	,	PUNCT
fsr-3727	311	6	al	al	PROPN
fsr-3727	311	7	th	th	X
fsr-3727	311	8	ou	ou	ADP
fsr-3727	311	9	gh	gh	PROPN
fsr-3727	311	10	s	s	PROPN
fsr-3727	311	11	om	om	PROPN
fsr-3727	311	12	e	e	PROPN
fsr-3727	311	13	eq	eq	NOUN
fsr-3727	312	1	ui	ui	PROPN
fsr-3727	313	1	ty	ty	INTJ
fsr-3727	314	1	i	i	PRON
fsr-3727	314	2	s	s	VERB
fsr-3727	314	3	al	al	PROPN
fsr-3727	314	4	w	w	PROPN
fsr-3727	314	5	ay	ay	PROPN
fsr-3727	314	6	s	s	PROPN
fsr-3727	314	7	de	de	X
fsr-3727	314	8	si	si	X
fsr-3727	314	9	re	re	X
fsr-3727	314	10	d.	d.	PROPN
fsr-3727	314	11	t	t	PROPN
fsr-3727	315	1	he	he	PRON
fsr-3727	315	2	ri	ri	INTJ
fsr-3727	316	1	sk	sk	INTJ
fsr-3727	316	2	o	o	PROPN
fsr-3727	316	3	f	f	X
fsr-3727	317	1	fa	fa	PROPN
fsr-3727	317	2	ili	ili	PROPN
fsr-3727	317	3	ng	ng	PROPN
fsr-3727	317	4	t	t	PROPN
fsr-3727	317	5	o	o	X
fsr-3727	317	6	ea	ea	PROPN
fsr-3727	317	7	rn	rn	PROPN
fsr-3727	317	8	e	e	PROPN
fsr-3727	317	9	no	no	PROPN
fsr-3727	317	10	ug	ug	ADP
fsr-3727	317	11	h	h	NOUN
fsr-3727	317	12	is	be	AUX
fsr-3727	317	13	e	e	PROPN
fsr-3727	317	14	qu	qu	PROPN
fsr-3727	317	15	ite	ite	PROPN
fsr-3727	317	16	l	l	PROPN
fsr-3727	317	17	ow	ow	INTJ
fsr-3727	317	18	,	,	PUNCT
fsr-3727	317	19	a	a	DET
fsr-3727	317	20	nd	nd	NOUN
fsr-3727	317	21	c	c	X
fsr-3727	317	22	ha	ha	INTJ
fsr-3727	317	23	ng	ng	PROPN
fsr-3727	317	24	in	in	ADP
fsr-3727	317	25	g	g	PROPN
fsr-3727	317	26	to	to	ADP
fsr-3727	317	27	a	a	DET
fsr-3727	317	28	1	1	NUM
fsr-3727	317	29	00	00	NUM
fsr-3727	317	30	p	p	NOUN
fsr-3727	317	31	er	er	INTJ
fsr-3727	317	32	ce	ce	PROPN
fsr-3727	317	33	nt	not	PART
fsr-3727	317	34	t	t	PROPN
fsr-3727	317	35	-b	-b	PUNCT
fsr-3727	317	36	ill	ill	VERB
fsr-3727	317	37	p	p	NOUN
fsr-3727	318	1	or	or	CCONJ
fsr-3727	318	2	tf	tf	INTJ
fsr-3727	318	3	ol	ol	PROPN
fsr-3727	318	4	io	io	PROPN
fsr-3727	318	5	w	w	PROPN
fsr-3727	318	6	ou	ou	PROPN
fsr-3727	318	7	ld	ld	PROPN
fsr-3727	318	8	n	n	CCONJ
fsr-3727	318	9	ot	ot	NOUN
fsr-3727	318	10	r	r	NOUN
fsr-3727	318	11	ai	ai	VERB
fsr-3727	318	12	se	se	PROPN
fsr-3727	318	13	t	t	PROPN
fsr-3727	319	1	he	he	PRON
fsr-3727	319	2	r	r	NOUN
fsr-3727	319	3	is	be	AUX
fsr-3727	319	4	k	k	PROPN
fsr-3727	319	5	si	si	X
fsr-3727	319	6	gn	gn	PROPN
fsr-3727	320	1	if	if	SCONJ
fsr-3727	320	2	ic	ic	PROPN
fsr-3727	320	3	an	an	DET
fsr-3727	320	4	tly	tly	ADV
fsr-3727	320	5	.	.	PUNCT
fsr-3727	321	1	v	v	X
fsr-3727	321	2	i	i	PRON
fsr-3727	321	3	t	t	VERB
fsr-3727	321	4	a	a	DET
fsr-3727	321	5	b	b	NOUN
fsr-3727	321	6	l	l	NOUN
fsr-3727	321	7	e	e	NOUN
fsr-3727	321	8	2	2	NUM
fsr-3727	321	9	.	.	PUNCT
fsr-3727	322	1	r	r	NOUN
fsr-3727	322	2	eq	eq	ADJ
fsr-3727	322	3	ui	ui	PROPN
fsr-3727	322	4	re	re	PROPN
fsr-3727	322	5	d	d	PROPN
fsr-3727	322	6	r	r	NOUN
fsr-3727	322	7	at	at	ADP
fsr-3727	322	8	es	es	X
fsr-3727	322	9	o	o	NOUN
fsr-3727	323	1	f	f	NOUN
fsr-3727	323	2	r	r	NOUN
fsr-3727	323	3	et	et	NOUN
fsr-3727	323	4	ur	ur	INTJ
fsr-3727	323	5	n	n	PROPN
fsr-3727	323	6	w	w	PROPN
fsr-3727	323	7	ei	ei	X
fsr-3727	323	8	gh	gh	PROPN
fsr-3727	323	9	te	te	PROPN
fsr-3727	323	10	d	d	PROPN
fsr-3727	323	11	by	by	ADP
fsr-3727	323	12	s	s	PROPN
fsr-3727	323	13	ur	ur	INTJ
fsr-3727	323	14	vi	vi	PROPN
fsr-3727	323	15	va	va	PROPN
fsr-3727	323	16	l	l	PROPN
fsr-3727	323	17	p	p	X
fsr-3727	323	18	ro	ro	INTJ
fsr-3727	323	19	ba	ba	PROPN
fsr-3727	323	20	bi	bi	NOUN
fsr-3727	323	21	lit	light	VERB
fsr-3727	323	22	ie	ie	X
fsr-3727	323	23	s	s	PROPN
fsr-3727	323	24	(	(	PUNCT
fsr-3727	323	25	f	f	PROPN
fsr-3727	323	26	or	or	CCONJ
fsr-3727	323	27	d	d	PROPN
fsr-3727	323	28	if	if	SCONJ
fsr-3727	323	29	fe	fe	X
fsr-3727	323	30	re	re	VERB
fsr-3727	323	31	nt	not	PART
fsr-3727	323	32	w	w	PROPN
fsr-3727	323	33	ea	ea	X
fsr-3727	323	34	lth	lth	PROPN
fsr-3727	323	35	/c	/c	PUNCT
fsr-3727	323	36	on	on	ADP
fsr-3727	323	37	su	su	PROPN
fsr-3727	323	38	m	m	PROPN
fsr-3727	323	39	pt	pt	PROPN
fsr-3727	323	40	io	io	PROPN
fsr-3727	323	41	n	n	ADV
fsr-3727	323	42	r	r	NOUN
fsr-3727	323	43	at	at	ADP
fsr-3727	323	44	io	io	PROPN
fsr-3727	323	45	s	s	PROPN
fsr-3727	323	46	)	)	PUNCT
fsr-3727	323	47	a	a	X
fsr-3727	323	48	:	:	PUNCT
fsr-3727	323	49	w	w	NOUN
fsr-3727	323	50	om	om	PROPN
fsr-3727	323	51	en	en	PROPN
fsr-3727	323	52	w	w	PROPN
fsr-3727	323	53	ea	ea	PROPN
fsr-3727	323	54	lth	lth	PROPN
fsr-3727	323	55	/c	/c	PUNCT
fsr-3727	323	56	on	on	ADP
fsr-3727	323	57	su	su	PROPN
fsr-3727	323	58	m	m	PROPN
fsr-3727	323	59	pt	pt	PROPN
fsr-3727	323	60	io	io	ADJ
fsr-3727	323	61	n	n	NOUN
fsr-3727	323	62	r	r	NOUN
fsr-3727	323	63	ad	ad	NOUN
fsr-3727	323	64	io	io	NOUN
fsr-3727	323	65	9	9	NUM
fsr-3727	323	66	10	10	NUM
fsr-3727	323	67	10	10	NUM
fsr-3727	323	68	.5	.5	NUM
fsr-3727	324	1	i1	i1	PROPN
fsr-3727	324	2	il	il	PROPN
fsr-3727	324	3	.5	.5	NUM
fsr-3727	324	4	12	12	NUM
fsr-3727	324	5	12	12	NUM
fsr-3727	324	6	.5	.5	NUM
fsr-3727	324	7	13	13	NUM
fsr-3727	324	8	13	13	NUM
fsr-3727	324	9	.5	.5	NUM
fsr-3727	324	10	a	a	DET
fsr-3727	324	11	ze	ze	NOUN
fsr-3727	324	12	ri	ri	PROPN
fsr-3727	324	13	7	7	NUM
fsr-3727	324	14	8	8	NUM
fsr-3727	324	15	14	14	NUM
fsr-3727	324	16	14	14	NUM
fsr-3727	324	17	.5	.5	NUM
fsr-3727	324	18	15	15	NUM
fsr-3727	324	19	16	16	NUM
fsr-3727	324	20	50	50	NUM
fsr-3727	324	21	1	1	NUM
fsr-3727	324	22	.	.	NOUN
fsr-3727	324	23	15	15	NUM
fsr-3727	324	24	9	9	NUM
fsr-3727	324	25	1	1	NUM
fsr-3727	324	26	.	.	NOUN
fsr-3727	324	27	13	13	NUM
fsr-3727	324	28	4	4	NUM
fsr-3727	324	29	1	1	NUM
fsr-3727	324	30	.	.	NOUN
fsr-3727	324	31	11	11	NUM
fsr-3727	324	32	6	6	NUM
fsr-3727	324	33	1	1	NUM
fsr-3727	324	34	.	.	PUNCT
fsr-3727	324	35	10	10	NUM
fsr-3727	324	36	1	1	NUM
fsr-3727	324	37	1	1	NUM
fsr-3727	324	38	.	.	NUM
fsr-3727	324	39	08	08	NUM
fsr-3727	324	40	8	8	NUM
fsr-3727	324	41	1	1	NUM
fsr-3727	324	42	.	.	NUM
fsr-3727	324	43	08	08	NUM
fsr-3727	324	44	3	3	NUM
fsr-3727	324	45	1	1	NUM
fsr-3727	324	46	.	.	NOUN
fsr-3727	324	47	07	07	NUM
fsr-3727	324	48	8	8	NUM
fsr-3727	324	49	1	1	NUM
fsr-3727	324	50	.	.	NOUN
fsr-3727	324	51	07	07	NUM
fsr-3727	324	52	4	4	NUM
fsr-3727	324	53	1	1	NUM
fsr-3727	324	54	.	.	PUNCT
fsr-3727	324	55	07	07	NUM
fsr-3727	324	56	0	0	NUM
fsr-3727	324	57	1	1	NUM
fsr-3727	324	58	.	.	NUM
fsr-3727	324	59	06	06	NUM
fsr-3727	324	60	6	6	NUM
fsr-3727	324	61	1	1	NUM
fsr-3727	324	62	.	.	NUM
fsr-3727	324	63	06	06	NUM
fsr-3727	324	64	2	2	NUM
fsr-3727	324	65	1	1	NUM
fsr-3727	324	66	.	.	PUNCT
fsr-3727	324	67	05	05	NUM
fsr-3727	324	68	9	9	NUM
fsr-3727	324	69	1	1	NUM
fsr-3727	324	70	.	.	PUNCT
fsr-3727	324	71	05	05	NUM
fsr-3727	324	72	5	5	NUM
fsr-3727	324	73	1	1	NUM
fsr-3727	324	74	.	.	PUNCT
fsr-3727	324	75	05	05	NUM
fsr-3727	324	76	2	2	NUM
fsr-3727	324	77	1	1	NUM
fsr-3727	324	78	.	.	PUNCT
fsr-3727	324	79	05	05	NUM
fsr-3727	324	80	0	0	NUM
fsr-3727	324	81	1	1	NUM
fsr-3727	324	82	.	.	NOUN
fsr-3727	324	83	04	04	NUM
fsr-3727	324	84	4	4	NUM
fsr-3727	324	85	55	55	NUM
fsr-3727	324	86	1	1	NUM
fsr-3727	324	87	.	.	NOUN
fsr-3727	324	88	15	15	NUM
fsr-3727	324	89	5	5	NUM
fsr-3727	324	90	1	1	NUM
fsr-3727	324	91	.	.	NOUN
fsr-3727	324	92	13	13	NUM
fsr-3727	324	93	0	0	NUM
fsr-3727	324	94	1	1	NUM
fsr-3727	324	95	.	.	NOUN
fsr-3727	324	96	11	11	NUM
fsr-3727	324	97	1	1	NUM
fsr-3727	324	98	1	1	NUM
fsr-3727	324	99	.	.	NUM
fsr-3727	324	100	09	09	NUM
fsr-3727	324	101	6	6	NUM
fsr-3727	324	102	1	1	NUM
fsr-3727	324	103	.	.	NUM
fsr-3727	324	104	08	08	NUM
fsr-3727	324	105	3	3	NUM
fsr-3727	324	106	1	1	NUM
fsr-3727	324	107	.	.	NOUN
fsr-3727	324	108	07	07	NUM
fsr-3727	324	109	8	8	NUM
fsr-3727	324	110	1	1	NUM
fsr-3727	324	111	.	.	NOUN
fsr-3727	324	112	07	07	NUM
fsr-3727	324	113	3	3	NUM
fsr-3727	324	114	1	1	NUM
fsr-3727	324	115	.	.	NUM
fsr-3727	324	116	06	06	NUM
fsr-3727	324	117	8	8	NUM
fsr-3727	324	118	1	1	NUM
fsr-3727	324	119	.	.	NUM
fsr-3727	324	120	06	06	NUM
fsr-3727	324	121	4	4	NUM
fsr-3727	324	122	1	1	NUM
fsr-3727	324	123	.	.	NUM
fsr-3727	324	124	06	06	NUM
fsr-3727	324	125	0	0	NUM
fsr-3727	324	126	1	1	NUM
fsr-3727	324	127	.	.	NUM
fsr-3727	324	128	05	05	NUM
fsr-3727	324	129	6	6	NUM
fsr-3727	324	130	1	1	NUM
fsr-3727	324	131	.	.	PUNCT
fsr-3727	324	132	05	05	NUM
fsr-3727	324	133	2	2	NUM
fsr-3727	324	134	1	1	NUM
fsr-3727	324	135	.	.	NOUN
fsr-3727	324	136	04	04	NUM
fsr-3727	324	137	9	9	NUM
fsr-3727	324	138	1	1	NUM
fsr-3727	324	139	.	.	NOUN
fsr-3727	324	140	04	04	NUM
fsr-3727	324	141	6	6	NUM
fsr-3727	324	142	1	1	NUM
fsr-3727	324	143	.	.	PUNCT
fsr-3727	324	144	04	04	NUM
fsr-3727	324	145	3	3	NUM
fsr-3727	324	146	1	1	NUM
fsr-3727	324	147	.	.	NOUN
fsr-3727	324	148	03	03	NUM
fsr-3727	324	149	7	7	NUM
fsr-3727	324	150	60	60	NUM
fsr-3727	324	151	1	1	NUM
fsr-3727	324	152	.	.	PUNCT
fsr-3727	324	153	14	14	NUM
fsr-3727	324	154	9	9	NUM
fsr-3727	324	155	1	1	NUM
fsr-3727	324	156	.	.	NOUN
fsr-3727	324	157	12	12	NUM
fsr-3727	324	158	3	3	NUM
fsr-3727	324	159	1	1	NUM
fsr-3727	324	160	.	.	PUNCT
fsr-3727	324	161	10	10	NUM
fsr-3727	324	162	4	4	NUM
fsr-3727	324	163	1	1	NUM
fsr-3727	324	164	.	.	NUM
fsr-3727	324	165	08	08	NUM
fsr-3727	324	166	8	8	NUM
fsr-3727	324	167	1	1	NUM
fsr-3727	324	168	.	.	NOUN
fsr-3727	324	169	07	07	NUM
fsr-3727	324	170	5	5	NUM
fsr-3727	324	171	1	1	NUM
fsr-3727	324	172	.	.	NUM
fsr-3727	324	173	06	06	NUM
fsr-3727	324	174	9	9	NUM
fsr-3727	324	175	1	1	NUM
fsr-3727	324	176	.	.	NUM
fsr-3727	324	177	06	06	NUM
fsr-3727	324	178	4	4	NUM
fsr-3727	324	179	1	1	NUM
fsr-3727	324	180	.	.	PUNCT
fsr-3727	324	181	05	05	NUM
fsr-3727	324	182	9	9	NUM
fsr-3727	324	183	1	1	NUM
fsr-3727	324	184	.	.	PUNCT
fsr-3727	324	185	05	05	NUM
fsr-3727	324	186	5	5	NUM
fsr-3727	324	187	1	1	NUM
fsr-3727	324	188	.	.	PUNCT
fsr-3727	324	189	05	05	NUM
fsr-3727	324	190	1	1	NUM
fsr-3727	324	191	1	1	NUM
fsr-3727	324	192	.	.	PUNCT
fsr-3727	324	193	04	04	NUM
fsr-3727	324	194	7	7	NUM
fsr-3727	324	195	1	1	NUM
fsr-3727	324	196	.	.	PUNCT
fsr-3727	324	197	04	04	NUM
fsr-3727	324	198	3	3	NUM
fsr-3727	324	199	1	1	NUM
fsr-3727	324	200	.	.	PUNCT
fsr-3727	324	201	04	04	NUM
fsr-3727	324	202	0	0	NUM
fsr-3727	324	203	1	1	NUM
fsr-3727	324	204	.	.	NOUN
fsr-3727	324	205	03	03	NUM
fsr-3727	324	206	6	6	NUM
fsr-3727	324	207	1	1	NUM
fsr-3727	324	208	.	.	NOUN
fsr-3727	324	209	03	03	NUM
fsr-3727	324	210	3	3	NUM
fsr-3727	324	211	1	1	NUM
fsr-3727	324	212	.	.	PUNCT
fsr-3727	324	213	02	02	NUM
fsr-3727	324	214	8	8	NUM
fsr-3727	324	215	6j	6j	NUM
fsr-3727	324	216	1	1	NUM
fsr-3727	324	217	.	.	NOUN
fsr-3727	324	218	13	13	NUM
fsr-3727	324	219	9	9	NUM
fsr-3727	324	220	1	1	NUM
fsr-3727	324	221	.	.	NOUN
fsr-3727	324	222	11	11	NUM
fsr-3727	324	223	3	3	NUM
fsr-3727	324	224	1	1	NUM
fsr-3727	324	225	.	.	NOUN
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fsr-3727	417	3	0	0	NUM
fsr-3727	417	4	.	.	PUNCT
fsr-3727	418	1	81	81	NUM
fsr-3727	418	2	2	2	NUM
fsr-3727	418	3	0	0	NUM
fsr-3727	418	4	.	.	NOUN
fsr-3727	418	5	80	80	NUM
fsr-3727	418	6	5	5	NUM
fsr-3727	418	7	90	90	NUM
fsr-3727	418	8	0	0	NUM
fsr-3727	418	9	.	.	NOUN
fsr-3727	418	10	85	85	NUM
fsr-3727	418	11	1	1	NUM
fsr-3727	418	12	0	0	NUM
fsr-3727	418	13	.	.	PUNCT
fsr-3727	419	1	82	82	NUM
fsr-3727	419	2	3	3	NUM
fsr-3727	419	3	0	0	NUM
fsr-3727	419	4	.	.	PUNCT
fsr-3727	420	1	79	79	NUM
fsr-3727	420	2	9	9	NUM
fsr-3727	420	3	0	0	NUM
fsr-3727	420	4	.	.	PUNCT
fsr-3727	421	1	78	78	NUM
fsr-3727	421	2	0	0	NUM
fsr-3727	421	3	0	0	NUM
fsr-3727	421	4	.	.	PUNCT
fsr-3727	422	1	76	76	NUM
fsr-3727	422	2	4	4	NUM
fsr-3727	422	3	0	0	NUM
fsr-3727	422	4	.	.	PUNCT
fsr-3727	423	1	75	75	NUM
fsr-3727	423	2	7	7	NUM
fsr-3727	423	3	0	0	NUM
fsr-3727	423	4	.	.	PUNCT
fsr-3727	424	1	75	75	NUM
fsr-3727	424	2	0	0	NUM
fsr-3727	424	3	0	0	NUM
fsr-3727	424	4	.	.	PUNCT
fsr-3727	425	1	74	74	NUM
fsr-3727	425	2	4	4	NUM
fsr-3727	425	3	0	0	NUM
fsr-3727	425	4	.	.	PUNCT
fsr-3727	426	1	73	73	NUM
fsr-3727	426	2	8	8	NUM
fsr-3727	426	3	0	0	NUM
fsr-3727	426	4	.	.	PUNCT
fsr-3727	427	1	73	73	NUM
fsr-3727	427	2	3	3	NUM
fsr-3727	427	3	0	0	NUM
fsr-3727	427	4	.	.	PUNCT
fsr-3727	427	5	72	72	NUM
fsr-3727	427	6	7	7	NUM
fsr-3727	427	7	0	0	NUM
fsr-3727	427	8	.	.	PUNCT
fsr-3727	427	9	72	72	NUM
fsr-3727	427	10	2	2	NUM
fsr-3727	427	11	0	0	NUM
fsr-3727	427	12	.	.	PUNCT
fsr-3727	428	1	71	71	NUM
fsr-3727	428	2	8	8	NUM
fsr-3727	428	3	0	0	NUM
fsr-3727	428	4	.	.	PUNCT
fsr-3727	429	1	71	71	NUM
fsr-3727	429	2	3	3	NUM
fsr-3727	429	3	0	0	NUM
fsr-3727	429	4	.	.	PUNCT
fsr-3727	429	5	70	70	NUM
fsr-3727	429	6	9	9	NUM
fsr-3727	429	7	0	0	NUM
fsr-3727	429	8	.	.	PUNCT
fsr-3727	430	1	70	70	NUM
fsr-3727	430	2	1	1	NUM
fsr-3727	430	3	e	e	NOUN
fsr-3727	430	4	n	n	ADP
fsr-3727	430	5	ot	ot	VERB
fsr-3727	430	6	es	es	X
fsr-3727	430	7	:	:	PUNCT
fsr-3727	430	8	t	t	PROPN
fsr-3727	430	9	h	h	NOUN
fsr-3727	430	10	es	es	X
fsr-3727	430	11	e	e	PROPN
fsr-3727	430	12	va	va	PROPN
fsr-3727	430	13	lu	lu	PROPN
fsr-3727	430	14	es	es	PROPN
fsr-3727	430	15	a	a	DET
fsr-3727	430	16	re	re	NOUN
fsr-3727	430	17	1	1	NUM
fsr-3727	430	18	+	+	CCONJ
fsr-3727	430	19	r	r	NOUN
fsr-3727	430	20	at	at	ADP
fsr-3727	430	21	e	e	NOUN
fsr-3727	430	22	of	of	ADP
fsr-3727	430	23	r	r	NOUN
fsr-3727	430	24	et	et	NOUN
fsr-3727	430	25	u	u	NOUN
fsr-3727	430	26	rn	rn	PROPN
fsr-3727	430	27	=	=	PROPN
fsr-3727	430	28	d	d	PROPN
fsr-3727	430	29	b	b	PROPN
fsr-3727	430	30	as	as	ADP
fsr-3727	430	31	ed	ed	PROPN
fsr-3727	430	32	u	u	PROPN
fsr-3727	430	33	po	po	PROPN
fsr-3727	430	34	n	n	PROPN
fsr-3727	430	35	s	s	PROPN
fsr-3727	430	36	ta	ta	X
fsr-3727	430	37	n	n	PROPN
fsr-3727	430	38	da	da	PROPN
fsr-3727	430	39	rd	rd	PROPN
fsr-3727	430	40	c	c	PROPN
fsr-3727	430	41	an	an	DET
fsr-3727	430	42	ad	ad	NOUN
fsr-3727	430	43	ia	ia	PROPN
fsr-3727	430	44	n	n	ADV
fsr-3727	430	45	m	m	VERB
fsr-3727	430	46	or	or	CCONJ
fsr-3727	430	47	ta	ta	ADP
fsr-3727	430	48	li	li	PROPN
fsr-3727	430	49	ty	ty	INTJ
fsr-3727	430	50	ta	ta	PART
fsr-3727	430	51	bl	bl	VERB
fsr-3727	430	52	es	es	NOUN
fsr-3727	430	53	.	.	PUNCT
fsr-3727	431	1	e	e	PROPN
fsr-3727	431	2	qu	qu	PROPN
fsr-3727	431	3	at	at	ADP
fsr-3727	431	4	io	io	PROPN
fsr-3727	431	5	n	n	PROPN
fsr-3727	431	6	(	(	PUNCT
fsr-3727	431	7	2	2	NUM
fsr-3727	431	8	)	)	PUNCT
fsr-3727	431	9	is	be	AUX
fsr-3727	431	10	s	s	PRON
fsr-3727	431	11	ol	ol	ADJ
fsr-3727	431	12	ve	ve	INTJ
fsr-3727	431	13	d	d	NOUN
fsr-3727	431	14	fo	fo	INTJ
fsr-3727	431	15	r	r	NOUN
fsr-3727	431	16	th	th	X
fsr-3727	431	17	e	e	X
fsr-3727	431	18	ra	ra	NOUN
fsr-3727	431	19	te	te	INTJ
fsr-3727	431	20	o	o	X
fsr-3727	431	21	f	f	PROPN
fsr-3727	432	1	in	in	ADP
fsr-3727	432	2	te	te	PROPN
fsr-3727	432	3	re	re	PROPN
fsr-3727	432	4	st	st	PROPN
fsr-3727	432	5	th	th	X
fsr-3727	432	6	at	at	ADP
fsr-3727	432	7	eq	eq	ADP
fsr-3727	432	8	u	u	PROPN
fsr-3727	432	9	at	at	ADP
fsr-3727	432	10	es	es	ADP
fsr-3727	432	11	a	a	DET
fsr-3727	432	12	c	c	NOUN
fsr-3727	432	13	on	on	ADP
fsr-3727	432	14	st	st	PROPN
fsr-3727	432	15	an	an	DET
fsr-3727	432	16	t	t	NOUN
fsr-3727	432	17	d	d	NOUN
fsr-3727	432	18	ol	ol	PROPN
fsr-3727	432	19	la	la	PROPN
fsr-3727	432	20	r	r	PROPN
fsr-3727	432	21	$	$	SYM
fsr-3727	432	22	va	va	NOUN
fsr-3727	432	23	lu	lu	NOUN
fsr-3727	432	24	e	e	NOUN
fsr-3727	432	25	fo	fo	ADP
fsr-3727	432	26	r	r	PROPN
fsr-3727	432	27	co	co	NOUN
fsr-3727	432	28	n	n	PROPN
fsr-3727	432	29	su	su	PROPN
fsr-3727	432	30	m	m	PROPN
fsr-3727	432	31	pt	pt	PROPN
fsr-3727	432	32	io	io	X
fsr-3727	432	33	n	n	PROPN
fsr-3727	432	34	,	,	PUNCT
fsr-3727	432	35	w	w	PROPN
fsr-3727	432	36	ei	ei	NOUN
fsr-3727	432	37	gh	gh	PROPN
fsr-3727	432	38	te	te	PROPN
fsr-3727	432	39	d	d	PROPN
fsr-3727	432	40	by	by	ADP
fsr-3727	432	41	p	p	PROPN
fsr-3727	432	42	ro	ro	X
fsr-3727	432	43	ba	ba	PROPN
fsr-3727	432	44	bi	bi	PROPN
fsr-3727	432	45	li	li	PROPN
fsr-3727	433	1	ty	ty	INTJ
fsr-3727	433	2	o	o	X
fsr-3727	433	3	f	f	PROPN
fsr-3727	433	4	li	li	PROPN
fsr-3727	433	5	vi	vi	PROPN
fsr-3727	433	6	n	n	PRON
fsr-3727	433	7	g	g	NOUN
fsr-3727	433	8	to	to	ADP
fsr-3727	433	9	t	t	PROPN
fsr-3727	433	10	h	h	NOUN
fsr-3727	433	11	e	e	PROPN
fsr-3727	433	12	en	en	PROPN
fsr-3727	433	13	d	d	X
fsr-3727	433	14	of	of	ADP
fsr-3727	433	15	e	e	PROPN
fsr-3727	433	16	ac	ac	PROPN
fsr-3727	433	17	h	h	PROPN
fsr-3727	433	18	y	y	PROPN
fsr-3727	433	19	ea	ea	PROPN
fsr-3727	433	20	r	r	PROPN
fsr-3727	433	21	,	,	PUNCT
fsr-3727	433	22	w	w	VERB
fsr-3727	433	23	it	it	PRON
fsr-3727	434	1	h	h	NOUN
fsr-3727	435	1	t	t	NOUN
fsr-3727	435	2	h	h	NOUN
fsr-3727	435	3	e	e	PROPN
fsr-3727	435	4	cu	cu	PROPN
fsr-3727	435	5	rr	rr	PROPN
fsr-3727	435	6	en	en	PROPN
fsr-3727	435	7	t	t	PROPN
fsr-3727	436	1	i	i	PRON
fsr-3727	436	2	n	n	VERB
fsr-3727	436	3	ve	ve	VERB
fsr-3727	436	4	st	st	PROPN
fsr-3727	436	5	ab	ab	PROPN
fsr-3727	436	6	le	le	PROPN
fsr-3727	436	7	w	w	PROPN
fsr-3727	436	8	ea	ea	PROPN
fsr-3727	437	1	lt	lt	PRON
fsr-3727	437	2	h	h	NOUN
fsr-3727	438	1	o	o	NOUN
fsr-3727	438	2	f	f	X
fsr-3727	438	3	th	th	X
fsr-3727	438	4	e	e	PROPN
fsr-3727	438	5	in	in	ADP
fsr-3727	438	6	di	di	PROPN
fsr-3727	438	7	vi	vi	PROPN
fsr-3727	438	8	du	du	PROPN
fsr-3727	438	9	al	al	PROPN
fsr-3727	438	10	.	.	PUNCT
fsr-3727	439	1	s	s	PROPN
fsr-3727	439	2	in	in	ADP
fsr-3727	439	3	ce	ce	PROPN
fsr-3727	439	4	t	t	PROPN
fsr-3727	439	5	h	h	PROPN
fsr-3727	439	6	e	e	X
fsr-3727	439	7	co	co	X
fsr-3727	439	8	n	n	PROPN
fsr-3727	439	9	su	su	PROPN
fsr-3727	439	10	m	m	PROPN
fsr-3727	440	1	pt	pt	PROPN
fsr-3727	440	2	io	io	PROPN
fsr-3727	440	3	n	n	X
fsr-3727	440	4	is	be	AUX
fsr-3727	440	5	a	a	DET
fsr-3727	440	6	$	$	SYM
fsr-3727	440	7	co	co	NOUN
fsr-3727	440	8	n	n	PROPN
fsr-3727	440	9	st	st	PROPN
fsr-3727	440	10	an	an	DET
fsr-3727	440	11	t	t	PROPN
fsr-3727	440	12	(	(	PUNCT
fsr-3727	440	13	se	se	X
fsr-3727	440	14	e	e	X
fsr-3727	440	15	e	e	PROPN
fsr-3727	440	16	qu	qu	PROPN
fsr-3727	440	17	at	at	ADP
fsr-3727	440	18	io	io	PROPN
fsr-3727	440	19	n	n	PRON
fsr-3727	440	20	2	2	NUM
fsr-3727	440	21	)	)	PUNCT
fsr-3727	440	22	.	.	PUNCT
fsr-3727	441	1	w	w	PROPN
fsr-3727	441	2	ea	ea	PROPN
fsr-3727	441	3	lt	lt	PRON
fsr-3727	441	4	h	h	PROPN
fsr-3727	441	5	a	a	DET
fsr-3727	441	6	n	n	INTJ
fsr-3727	441	7	d	d	X
fsr-3727	441	8	co	co	X
fsr-3727	441	9	n	n	PROPN
fsr-3727	441	10	su	su	PROPN
fsr-3727	441	11	m	m	PROPN
fsr-3727	441	12	pt	pt	PROPN
fsr-3727	441	13	io	io	PROPN
fsr-3727	441	14	n	n	PROPN
fsr-3727	441	15	ca	ca	NOUN
fsr-3727	441	16	n	n	ADV
fsr-3727	441	17	b	b	PROPN
fsr-3727	441	18	e	e	X
fsr-3727	441	19	su	su	PROPN
fsr-3727	441	20	m	m	PROPN
fsr-3727	441	21	m	m	PROPN
fsr-3727	441	22	ar	ar	PROPN
fsr-3727	441	23	iz	iz	INTJ
fsr-3727	441	24	ed	ed	NOUN
fsr-3727	441	25	in	in	ADP
fsr-3727	441	26	a	a	DET
fsr-3727	441	27	s	s	NOUN
fsr-3727	441	28	in	in	ADP
fsr-3727	441	29	gl	gl	NOUN
fsr-3727	441	30	e	e	PART
fsr-3727	441	31	ra	ra	NOUN
fsr-3727	442	1	ti	ti	INTJ
fsr-3727	443	1	o.	o.	PROPN
fsr-3727	443	2	f	f	PROPN
fsr-3727	443	3	or	or	CCONJ
fsr-3727	443	4	e	e	X
fsr-3727	443	5	xa	xa	PROPN
fsr-3727	443	6	m	m	PROPN
fsr-3727	443	7	pl	pl	PROPN
fsr-3727	443	8	e	e	NOUN
fsr-3727	443	9	,	,	PUNCT
fsr-3727	443	10	a	a	DET
fsr-3727	443	11	n	n	NOUN
fsr-3727	443	12	in	in	ADP
fsr-3727	443	13	di	di	X
fsr-3727	443	14	vi	vi	PROPN
fsr-3727	443	15	du	du	PROPN
fsr-3727	443	16	al	al	PROPN
fsr-3727	443	17	w	w	PROPN
fsr-3727	444	1	it	it	PRON
fsr-3727	444	2	h	h	NOUN
fsr-3727	444	3	s	s	VERB
fsr-3727	444	4	40	40	NUM
fsr-3727	444	5	0	0	NUM
fsr-3727	444	6	,	,	PUNCT
fsr-3727	444	7	o	o	NOUN
fsr-3727	445	1	o	o	X
fsr-3727	445	2	o	o	X
fsr-3727	445	3	to	to	ADP
fsr-3727	445	4	in	in	ADP
fsr-3727	445	5	ve	ve	PROPN
fsr-3727	445	6	st	st	PROPN
fsr-3727	445	7	w	w	PROPN
fsr-3727	445	8	h	h	PROPN
fsr-3727	446	1	o	o	INTJ
fsr-3727	446	2	w	w	NOUN
fsr-3727	446	3	is	be	AUX
fsr-3727	446	4	h	h	NOUN
fsr-3727	446	5	es	es	X
fsr-3727	446	6	to	to	ADP
fsr-3727	446	7	c	c	PROPN
fsr-3727	446	8	on	on	ADP
fsr-3727	446	9	su	su	PROPN
fsr-3727	446	10	m	m	PROPN
fsr-3727	446	11	e	e	NOUN
fsr-3727	446	12	“	"	PUNCT
fsr-3727	446	13	w	w	PROPN
fsr-3727	446	14	$	$	SYM
fsr-3727	446	15	4	4	NUM
fsr-3727	446	16	0	0	NUM
fsr-3727	446	17	$	$	SYM
fsr-3727	446	18	00	00	NUM
fsr-3727	447	1	p	p	PRON
fsr-3727	447	2	a	a	PRON
fsr-3727	447	3	in	in	ADP
fsr-3727	447	4	c	c	PROPN
fsr-3727	447	5	on	on	ADP
fsr-3727	447	6	st	st	PROPN
fsr-3727	447	7	an	an	DET
fsr-3727	447	8	t	t	NOUN
fsr-3727	447	9	d	d	X
fsr-3727	447	10	ol	ol	PROPN
fsr-3727	447	11	la	la	PROPN
fsr-3727	447	12	rs	rs	PROPN
fsr-3727	447	13	h	h	PROPN
fsr-3727	447	14	as	as	ADP
fsr-3727	447	15	a	a	DET
fsr-3727	447	16	w	w	NOUN
fsr-3727	447	17	ea	ea	NOUN
fsr-3727	447	18	lt	lt	PRON
fsr-3727	447	19	h	h	PROPN
fsr-3727	447	20	/c	/c	PUNCT
fsr-3727	447	21	on	on	ADP
fsr-3727	447	22	su	su	PROPN
fsr-3727	447	23	m	m	PROPN
fsr-3727	447	24	pt	pt	PROPN
fsr-3727	447	25	io	io	PROPN
fsr-3727	447	26	n	n	ADV
fsr-3727	447	27	ra	ra	NOUN
fsr-3727	447	28	ti	ti	X
fsr-3727	447	29	o	o	NOUN
fsr-3727	447	30	of	of	ADP
fsr-3727	447	31	1	1	NUM
fsr-3727	447	32	0	0	NUM
fsr-3727	447	33	.	.	PUNCT
fsr-3727	448	1	t	t	PROPN
fsr-3727	448	2	h	h	PROPN
fsr-3727	448	3	is	be	AUX
fsr-3727	448	4	y	y	PROPN
fsr-3727	448	5	ie	ie	X
fsr-3727	448	6	ld	ld	PROPN
fsr-3727	448	7	s	s	PART
fsr-3727	448	8	th	th	X
fsr-3727	448	9	e	e	X
fsr-3727	448	10	sa	sa	NOUN
fsr-3727	448	11	m	m	PROPN
fsr-3727	448	12	e	e	NOUN
fsr-3727	448	13	d	d	PROPN
fsr-3727	448	14	as	as	ADP
fsr-3727	448	15	i	i	PRON
fsr-3727	448	16	f	f	X
fsr-3727	448	17	on	on	ADP
fsr-3727	448	18	e	e	PROPN
fsr-3727	448	19	h	h	NOUN
fsr-3727	448	20	ad	ad	NOUN
fsr-3727	448	21	$	$	SYM
fsr-3727	448	22	60	60	NUM
fsr-3727	448	23	0	0	NUM
fsr-3727	448	24	,	,	PUNCT
fsr-3727	448	25	00	00	NUM
fsr-3727	448	26	0	0	NUM
fsr-3727	448	27	to	to	ADP
fsr-3727	448	28	i	i	PRON
fsr-3727	448	29	n	n	VERB
fsr-3727	449	1	ve	ve	VERB
fsr-3727	449	2	st	st	PROPN
fsr-3727	449	3	a	a	DET
fsr-3727	449	4	n	n	PROPN
fsr-3727	449	5	d	d	PROPN
fsr-3727	449	6	w	w	PROPN
fsr-3727	449	7	is	be	AUX
fsr-3727	449	8	h	h	PROPN
fsr-3727	449	9	ed	ed	NOUN
fsr-3727	449	10	t	t	PROPN
fsr-3727	449	11	o	o	X
fsr-3727	449	12	co	co	X
fsr-3727	449	13	n	n	PROPN
fsr-3727	449	14	su	su	PROPN
fsr-3727	449	15	m	m	PROPN
fsr-3727	449	16	e	e	NOUN
fsr-3727	449	17	$	$	SYM
fsr-3727	449	18	6	6	NUM
fsr-3727	449	19	0	0	NUM
fsr-3727	449	20	,	,	PUNCT
fsr-3727	449	21	00	00	NUM
fsr-3727	449	22	0	0	NUM
fsr-3727	450	1	p.	p.	NOUN
fsr-3727	450	2	a.	a.	NOUN
fsr-3727	450	3	8	8	NUM
fsr-3727	450	4	asset	asset	NOUN
fsr-3727	450	5	allocatim	allocatim	NOUN
fsr-3727	450	6	,	,	PUNCT
fsr-3727	450	7	life	life	NOUN
fsr-3727	450	8	expectancy	expectancy	NOUN
fsr-3727	450	9	and	and	CCONJ
fsr-3727	450	10	shortfall	shortfall	NOUN
fsr-3727	450	11	117	117	NUM
fsr-3727	450	12	3	3	NUM
fsr-3727	450	13	.	.	PUNCT
fsr-3727	451	1	virtually	virtually	ADV
fsr-3727	451	2	all	all	DET
fsr-3727	451	3	women	woman	NOUN
fsr-3727	451	4	should	should	AUX
fsr-3727	451	5	invest	invest	VERB
fsr-3727	451	6	in	in	ADP
fsr-3727	451	7	all	all	DET
fsr-3727	451	8	equity	equity	NOUN
fsr-3727	451	9	at	at	ADP
fsr-3727	451	10	age	age	NOUN
fsr-3727	451	11	65	65	NUM
fsr-3727	451	12	or	or	CCONJ
fsr-3727	451	13	earlier	early	ADV
fsr-3727	451	14	.	.	PUNCT
fsr-3727	452	1	4	4	X
fsr-3727	452	2	.	.	X
fsr-3727	452	3	men	man	NOUN
fsr-3727	452	4	with	with	ADP
fsr-3727	452	5	quite	quite	ADV
fsr-3727	452	6	low	low	ADJ
fsr-3727	452	7	wealth	wealth	NOUN
fsr-3727	452	8	should	should	AUX
fsr-3727	452	9	invest	invest	VERB
fsr-3727	452	10	in	in	ADP
fsr-3727	452	11	all	all	DET
fsr-3727	452	12	equity	equity	NOUN
fsr-3727	452	13	as	as	ADV
fsr-3727	452	14	late	late	ADV
fsr-3727	452	15	as	as	ADP
fsr-3727	452	16	75	75	NUM
fsr-3727	452	17	years	year	NOUN
fsr-3727	452	18	of	of	ADP
fsr-3727	452	19	age	age	NOUN
fsr-3727	452	20	.	.	PUNCT
fsr-3727	453	1	5	5	X
fsr-3727	453	2	.	.	X
fsr-3727	453	3	virtually	virtually	ADV
fsr-3727	453	4	all	all	DET
fsr-3727	453	5	men	man	NOUN
fsr-3727	453	6	should	should	AUX
fsr-3727	453	7	invest	invest	VERB
fsr-3727	453	8	in	in	ADP
fsr-3727	453	9	all	all	DET
fsr-3727	453	10	equity	equity	NOUN
fsr-3727	453	11	at	at	ADP
fsr-3727	453	12	age	age	NOUN
fsr-3727	453	13	60	60	NUM
fsr-3727	453	14	or	or	CCONJ
fsr-3727	453	15	earlier	early	ADV
fsr-3727	453	16	.	.	PUNCT
fsr-3727	454	1	the	the	DET
fsr-3727	454	2	specific	specific	ADJ
fsr-3727	454	3	values	value	NOUN
fsr-3727	454	4	of	of	ADP
fsr-3727	454	5	alphaderived	alphaderive	VERB
fsr-3727	454	6	from	from	ADP
fsr-3727	454	7	this	this	DET
fsr-3727	454	8	procedure	procedure	NOUN
fsr-3727	454	9	must	must	AUX
fsr-3727	454	10	be	be	AUX
fsr-3727	454	11	interpreted	interpret	VERB
fsr-3727	454	12	with	with	ADP
fsr-3727	454	13	some	some	DET
fsr-3727	454	14	caution	caution	NOUN
fsr-3727	454	15	,	,	PUNCT
fsr-3727	454	16	which	which	PRON
fsr-3727	454	17	is	be	AUX
fsr-3727	454	18	why	why	SCONJ
fsr-3727	454	19	we	we	PRON
fsr-3727	454	20	have	have	AUX
fsr-3727	454	21	shown	show	VERB
fsr-3727	454	22	‘	'	PUNCT
fsr-3727	454	23	e	e	NOUN
fsr-3727	454	24	’	'	PUNCT
fsr-3727	454	25	instead	instead	ADV
fsr-3727	454	26	of	of	ADP
fsr-3727	454	27	the	the	DET
fsr-3727	454	28	specific	specific	ADJ
fsr-3727	454	29	values	value	NOUN
fsr-3727	454	30	.	.	PUNCT
fsr-3727	455	1	the	the	DET
fsr-3727	455	2	definition	definition	NOUN
fsr-3727	455	3	of	of	ADP
fsr-3727	455	4	the	the	DET
fsr-3727	455	5	problem	problem	NOUN
fsr-3727	455	6	requires	require	VERB
fsr-3727	455	7	that	that	SCONJ
fsr-3727	455	8	0	0	NUM
fsr-3727	455	9	s	s	VERB
fsr-3727	455	10	a	a	PRON
fsr-3727	455	11	i	i	NOUN
fsr-3727	455	12	1	1	NUM
fsr-3727	455	13	.	.	PUNCT
fsr-3727	456	1	this	this	PRON
fsr-3727	456	2	is	be	AUX
fsr-3727	456	3	the	the	DET
fsr-3727	456	4	same	same	ADJ
fsr-3727	456	5	as	as	ADP
fsr-3727	456	6	saying	say	VERB
fsr-3727	456	7	that	that	SCONJ
fsr-3727	456	8	the	the	DET
fsr-3727	456	9	required	require	VERB
fsr-3727	456	10	d	d	NOUN
fsr-3727	456	11	can	can	AUX
fsr-3727	456	12	not	not	PART
fsr-3727	456	13	exceed	exceed	VERB
fsr-3727	456	14	one	one	NUM
fsr-3727	456	15	plus	plus	CCONJ
fsr-3727	456	16	the	the	DET
fsr-3727	456	17	treasury	treasury	NOUN
fsr-3727	456	18	bill	bill	NOUN
fsr-3727	456	19	rate	rate	NOUN
fsr-3727	456	20	.	.	PUNCT
fsr-3727	457	1	as	as	ADV
fsr-3727	457	2	soon	soon	ADV
fsr-3727	457	3	as	as	SCONJ
fsr-3727	457	4	it	it	PRON
fsr-3727	457	5	does	do	VERB
fsr-3727	457	6	,	,	PUNCT
fsr-3727	457	7	we	we	PRON
fsr-3727	457	8	would	would	AUX
fsr-3727	457	9	want	want	VERB
fsr-3727	457	10	no	no	DET
fsr-3727	457	11	treasury	treasury	NOUN
fsr-3727	457	12	bills	bill	NOUN
fsr-3727	457	13	in	in	ADP
fsr-3727	457	14	the	the	DET
fsr-3727	457	15	portfolio	portfolio	NOUN
fsr-3727	457	16	.	.	PUNCT
fsr-3727	458	1	the	the	DET
fsr-3727	458	2	intuition	intuition	NOUN
fsr-3727	458	3	is	be	AUX
fsr-3727	458	4	that	that	SCONJ
fsr-3727	458	5	you	you	PRON
fsr-3727	458	6	can	can	AUX
fsr-3727	458	7	not	not	PART
fsr-3727	458	8	minimize	minimize	VERB
fsr-3727	458	9	the	the	DET
fsr-3727	458	10	probability	probability	NOUN
fsr-3727	458	11	of	of	ADP
fsr-3727	458	12	falling	fall	VERB
fsr-3727	458	13	below	below	ADP
fsr-3727	458	14	a	a	DET
fsr-3727	458	15	rate	rate	NOUN
fsr-3727	458	16	of	of	ADP
fsr-3727	458	17	return	return	NOUN
fsr-3727	458	18	by	by	ADP
fsr-3727	458	19	including	include	VERB
fsr-3727	458	20	in	in	ADP
fsr-3727	458	21	the	the	DET
fsr-3727	458	22	portfolio	portfolio	NOUN
fsr-3727	458	23	any	any	DET
fsr-3727	458	24	asset	asset	NOUN
fsr-3727	458	25	which	which	PRON
fsr-3727	458	26	is	be	AUX
fsr-3727	458	27	expected	expect	VERB
fsr-3727	458	28	to	to	PART
fsr-3727	458	29	earn	earn	VERB
fsr-3727	458	30	less	less	ADJ
fsr-3727	458	31	than	than	ADP
fsr-3727	458	32	that	that	DET
fsr-3727	458	33	rate	rate	NOUN
fsr-3727	458	34	of	of	ADP
fsr-3727	458	35	return	return	NOUN
fsr-3727	458	36	.	.	PUNCT
fsr-3727	459	1	including	include	VERB
fsr-3727	459	2	a	a	DET
fsr-3727	459	3	high	high	ADJ
fsr-3727	459	4	risk	risk	NOUN
fsr-3727	459	5	,	,	PUNCT
fsr-3727	459	6	high	high	ADJ
fsr-3727	459	7	return	return	NOUN
fsr-3727	459	8	asset	asset	NOUN
fsr-3727	459	9	like	like	ADP
fsr-3727	459	10	equity	equity	NOUN
fsr-3727	459	11	may	may	AUX
fsr-3727	459	12	yield	yield	VERB
fsr-3727	459	13	a	a	DET
fsr-3727	459	14	greater	great	ADJ
fsr-3727	459	15	loss	loss	NOUN
fsr-3727	459	16	on	on	ADP
fsr-3727	459	17	some	some	DET
fsr-3727	459	18	occasions	occasion	NOUN
fsr-3727	459	19	,	,	PUNCT
fsr-3727	459	20	but	but	CCONJ
fsr-3727	459	21	the	the	DET
fsr-3727	459	22	probability	probability	NOUN
fsr-3727	459	23	of	of	ADP
fsr-3727	459	24	earning	earn	VERB
fsr-3727	459	25	more	more	ADJ
fsr-3727	459	26	than	than	ADP
fsr-3727	459	27	the	the	DET
fsr-3727	459	28	required	require	VERB
fsr-3727	459	29	minimum	minimum	NOUN
fsr-3727	459	30	is	be	AUX
fsr-3727	459	31	still	still	ADV
fsr-3727	459	32	higher	high	ADJ
fsr-3727	459	33	.	.	PUNCT
fsr-3727	460	1	given	give	VERB
fsr-3727	460	2	enough	enough	ADJ
fsr-3727	460	3	years	year	NOUN
fsr-3727	460	4	of	of	ADP
fsr-3727	460	5	returns	return	NOUN
fsr-3727	460	6	,	,	PUNCT
fsr-3727	460	7	the	the	DET
fsr-3727	460	8	long	long	ADV
fsr-3727	460	9	-	-	PUNCT
fsr-3727	460	10	run	run	VERB
fsr-3727	460	11	return	return	NOUN
fsr-3727	460	12	will	will	AUX
fsr-3727	460	13	converge	converge	VERB
fsr-3727	460	14	to	to	ADP
fsr-3727	460	15	the	the	DET
fsr-3727	460	16	expected	expect	VERB
fsr-3727	460	17	return	return	NOUN
fsr-3727	460	18	.	.	PUNCT
fsr-3727	461	1	since	since	SCONJ
fsr-3727	461	2	so	so	ADV
fsr-3727	461	3	many	many	ADJ
fsr-3727	461	4	people	people	NOUN
fsr-3727	461	5	are	be	AUX
fsr-3727	461	6	in	in	ADP
fsr-3727	461	7	a	a	DET
fsr-3727	461	8	position	position	NOUN
fsr-3727	461	9	where	where	SCONJ
fsr-3727	461	10	they	they	PRON
fsr-3727	461	11	need	need	VERB
fsr-3727	461	12	more	more	ADJ
fsr-3727	461	13	return	return	NOUN
fsr-3727	461	14	to	to	PART
fsr-3727	461	15	minimize	minimize	VERB
fsr-3727	461	16	shortfall	shortfall	NOUN
fsr-3727	461	17	risk	risk	NOUN
fsr-3727	461	18	than	than	SCONJ
fsr-3727	461	19	100	100	NUM
fsr-3727	461	20	percent	percent	NOUN
fsr-3727	461	21	equity	equity	NOUN
fsr-3727	461	22	will	will	AUX
fsr-3727	461	23	provide	provide	VERB
fsr-3727	461	24	,	,	PUNCT
fsr-3727	461	25	we	we	PRON
fsr-3727	461	26	model	model	VERB
fsr-3727	461	27	borrowing	borrow	VERB
fsr-3727	461	28	in	in	ADP
fsr-3727	461	29	the	the	DET
fsr-3727	461	30	next	next	ADJ
fsr-3727	461	31	section	section	NOUN
fsr-3727	461	32	.	.	PUNCT
fsr-3727	462	1	iv	iv	X
fsr-3727	462	2	.	.	PUNCT
fsr-3727	463	1	optimal	optimal	ADJ
fsr-3727	463	2	margin	margin	NOUN
fsr-3727	463	3	position	position	NOUN
fsr-3727	463	4	as	as	ADV
fsr-3727	463	5	long	long	ADV
fsr-3727	463	6	as	as	SCONJ
fsr-3727	463	7	the	the	DET
fsr-3727	463	8	borrowing	borrowing	NOUN
fsr-3727	463	9	rate	rate	NOUN
fsr-3727	463	10	is	be	AUX
fsr-3727	463	11	less	less	ADJ
fsr-3727	463	12	than	than	ADP
fsr-3727	463	13	the	the	DET
fsr-3727	463	14	return	return	NOUN
fsr-3727	463	15	on	on	ADP
fsr-3727	463	16	equity	equity	NOUN
fsr-3727	463	17	,	,	PUNCT
fsr-3727	463	18	borrowing	borrow	VERB
fsr-3727	463	19	to	to	PART
fsr-3727	463	20	buy	buy	VERB
fsr-3727	463	21	more	more	ADJ
fsr-3727	463	22	equity	equity	NOUN
fsr-3727	463	23	provides	provide	VERB
fsr-3727	463	24	a	a	DET
fsr-3727	463	25	higher	high	ADJ
fsr-3727	463	26	rate	rate	NOUN
fsr-3727	463	27	of	of	ADP
fsr-3727	463	28	return	return	NOUN
fsr-3727	463	29	than	than	ADP
fsr-3727	463	30	100	100	NUM
fsr-3727	463	31	percent	percent	NOUN
fsr-3727	463	32	equity	equity	NOUN
fsr-3727	463	33	,	,	PUNCT
fsr-3727	463	34	but	but	CCONJ
fsr-3727	463	35	it	it	PRON
fsr-3727	463	36	is	be	AUX
fsr-3727	463	37	also	also	ADV
fsr-3727	463	38	more	more	ADV
fsr-3727	463	39	risky	risky	ADJ
fsr-3727	463	40	.	.	PUNCT
fsr-3727	464	1	persons	person	NOUN
fsr-3727	464	2	normally	normally	ADV
fsr-3727	464	3	borrow	borrow	VERB
fsr-3727	464	4	on	on	ADP
fsr-3727	464	5	margin	margin	NOUN
fsr-3727	464	6	or	or	CCONJ
fsr-3727	464	7	demand	demand	NOUN
fsr-3727	464	8	loans	loan	NOUN
fsr-3727	464	9	,	,	PUNCT
fsr-3727	464	10	which	which	PRON
fsr-3727	464	11	charge	charge	VERB
fsr-3727	464	12	floating	float	VERB
fsr-3727	464	13	rate	rate	NOUN
fsr-3727	464	14	interest	interest	NOUN
fsr-3727	464	15	.	.	PUNCT
fsr-3727	465	1	therefore	therefore	ADV
fsr-3727	465	2	,	,	PUNCT
fsr-3727	465	3	although	although	SCONJ
fsr-3727	465	4	the	the	DET
fsr-3727	465	5	equity	equity	NOUN
fsr-3727	465	6	returns	return	NOUN
fsr-3727	465	7	will	will	AUX
fsr-3727	465	8	fluctuate	fluctuate	VERB
fsr-3727	465	9	in	in	ADP
fsr-3727	465	10	real	real	ADJ
fsr-3727	465	11	terms	term	NOUN
fsr-3727	465	12	,	,	PUNCT
fsr-3727	465	13	the	the	DET
fsr-3727	465	14	interest	interest	NOUN
fsr-3727	465	15	expense	expense	NOUN
fsr-3727	465	16	is	be	AUX
fsr-3727	465	17	essentially	essentially	ADV
fsr-3727	465	18	fixed	fix	VERB
fsr-3727	465	19	in	in	ADP
fsr-3727	465	20	real	real	ADJ
fsr-3727	465	21	terms	term	NOUN
fsr-3727	465	22	.	.	PUNCT
fsr-3727	466	1	the	the	DET
fsr-3727	466	2	investor	investor	NOUN
fsr-3727	466	3	is	be	AUX
fsr-3727	466	4	faced	face	VERB
fsr-3727	466	5	with	with	ADP
fsr-3727	466	6	the	the	DET
fsr-3727	466	7	annual	annual	ADJ
fsr-3727	466	8	(	(	PUNCT
fsr-3727	466	9	one	one	NUM
fsr-3727	466	10	plus	plus	NOUN
fsr-3727	466	11	)	)	PUNCT
fsr-3727	466	12	rate	rate	NOUN
fsr-3727	466	13	of	of	ADP
fsr-3727	466	14	interest	interest	NOUN
fsr-3727	466	15	charged	charge	VERB
fsr-3727	466	16	on	on	ADP
fsr-3727	466	17	margin	margin	NOUN
fsr-3727	466	18	loans	loan	NOUN
fsr-3727	466	19	denoted	denote	VERB
fsr-3727	466	20	by	by	ADP
fsr-3727	466	21	r	r	NOUN
fsr-3727	466	22	,	,	PUNCT
fsr-3727	466	23	together	together	ADV
fsr-3727	466	24	with	with	ADP
fsr-3727	466	25	the	the	DET
fsr-3727	466	26	previously	previously	ADV
fsr-3727	466	27	-	-	PUNCT
fsr-3727	466	28	mentioned	mention	VERB
fsr-3727	466	29	l_~,,~	l_~,,~	NOUN
fsr-3727	466	30	,	,	PUNCT
fsr-3727	466	31	<	<	X
fsr-3727	466	32	t,~.	t,~.	ADJ
fsr-3727	466	33	the	the	DET
fsr-3727	466	34	choice	choice	NOUN
fsr-3727	466	35	variable	variable	NOUN
fsr-3727	466	36	is	be	AUX
fsr-3727	466	37	q	q	PUNCT
fsr-3727	466	38	which	which	PRON
fsr-3727	466	39	represents	represent	VERB
fsr-3727	466	40	the	the	DET
fsr-3727	466	41	proportion	proportion	NOUN
fsr-3727	466	42	of	of	ADP
fsr-3727	466	43	wealth	wealth	NOUN
fsr-3727	466	44	that	that	PRON
fsr-3727	466	45	the	the	DET
fsr-3727	466	46	investor	investor	NOUN
fsr-3727	466	47	should	should	AUX
fsr-3727	466	48	borrow	borrow	VERB
fsr-3727	466	49	on	on	ADP
fsr-3727	466	50	margin	margin	NOUN
fsr-3727	466	51	.	.	PUNCT
fsr-3727	467	1	that	that	PRON
fsr-3727	467	2	is	be	AUX
fsr-3727	467	3	,	,	PUNCT
fsr-3727	467	4	q	q	NOUN
fsr-3727	467	5	=	=	SYM
fsr-3727	467	6	0.5	0.5	NUM
fsr-3727	467	7	means	mean	VERB
fsr-3727	467	8	that	that	SCONJ
fsr-3727	467	9	the	the	DET
fsr-3727	467	10	investor	investor	NOUN
fsr-3727	467	11	should	should	AUX
fsr-3727	467	12	borrow	borrow	VERB
fsr-3727	467	13	50	50	NUM
fsr-3727	467	14	percent	percent	NOUN
fsr-3727	467	15	of	of	ADP
fsr-3727	467	16	his	his	PRON
fsr-3727	467	17	current	current	ADJ
fsr-3727	467	18	liquid	liquid	ADJ
fsr-3727	467	19	wealth	wealth	NOUN
fsr-3727	467	20	wc	wc	NOUN
fsr-3727	467	21	and	and	CCONJ
fsr-3727	467	22	invest	invest	VERB
fsr-3727	467	23	the	the	DET
fsr-3727	467	24	proceeds	proceed	NOUN
fsr-3727	467	25	in	in	ADP
fsr-3727	467	26	the	the	DET
fsr-3727	467	27	equity	equity	NOUN
fsr-3727	467	28	market	market	NOUN
fsr-3727	467	29	.	.	PUNCT
fsr-3727	468	1	note	note	VERB
fsr-3727	468	2	that	that	SCONJ
fsr-3727	468	3	we	we	PRON
fsr-3727	468	4	are	be	AUX
fsr-3727	468	5	assuming	assume	VERB
fsr-3727	468	6	:	:	PUNCT
fsr-3727	468	7	rb	rb	X
fsr-3727	468	8	<	<	X
fsr-3727	468	9	d	d	X
fsr-3727	468	10	the	the	DET
fsr-3727	468	11	interest	interest	NOUN
fsr-3727	468	12	rate	rate	NOUN
fsr-3727	468	13	on	on	ADP
fsr-3727	468	14	margin	margin	NOUN
fsr-3727	468	15	is	be	AUX
fsr-3727	468	16	less	less	ADJ
fsr-3727	468	17	than	than	ADP
fsr-3727	468	18	the	the	DET
fsr-3727	468	19	minimal	minimal	ADJ
fsr-3727	468	20	required	require	VERB
fsr-3727	468	21	rate	rate	NOUN
fsr-3727	468	22	of	of	ADP
fsr-3727	468	23	return	return	NOUN
fsr-3727	468	24	and	and	CCONJ
fsr-3727	468	25	is	be	AUX
fsr-3727	468	26	less	less	ADJ
fsr-3727	468	27	than	than	ADP
fsr-3727	468	28	the	the	DET
fsr-3727	468	29	expected	expect	VERB
fsr-3727	468	30	rate	rate	NOUN
fsr-3727	468	31	of	of	ADP
fsr-3727	468	32	return	return	NOUN
fsr-3727	468	33	on	on	ADP
fsr-3727	468	34	equity	equity	NOUN
fsr-3727	468	35	.	.	PUNCT
fsr-3727	469	1	note	note	VERB
fsr-3727	469	2	that	that	SCONJ
fsr-3727	469	3	no	no	DET
fsr-3727	469	4	assumptions	assumption	NOUN
fsr-3727	469	5	are	be	AUX
fsr-3727	469	6	being	be	AUX
fsr-3727	469	7	made	make	VERB
fsr-3727	469	8	about	about	ADP
fsr-3727	469	9	the	the	DET
fsr-3727	469	10	relationship	relationship	NOUN
fsr-3727	469	11	between	between	ADP
fsr-3727	469	12	the	the	DET
fsr-3727	469	13	variables	variable	NOUN
fsr-3727	469	14	peq	peq	PROPN
fsr-3727	469	15	and	and	CCONJ
fsr-3727	469	16	d	d	PROPN
fsr-3727	469	17	;	;	PUNCT
fsr-3727	469	18	hence	hence	ADV
fsr-3727	469	19	d	d	NOUN
fsr-3727	469	20	can	can	AUX
fsr-3727	469	21	indeed	indeed	ADV
fsr-3727	469	22	be	be	AUX
fsr-3727	469	23	larger	large	ADJ
fsr-3727	469	24	than	than	ADP
fsr-3727	469	25	ue4	ue4	NOUN
fsr-3727	469	26	.	.	PUNCT
fsr-3727	470	1	we	we	PRON
fsr-3727	470	2	provide	provide	VERB
fsr-3727	470	3	the	the	DET
fsr-3727	470	4	mathematical	mathematical	ADJ
fsr-3727	470	5	solution	solution	NOUN
fsr-3727	470	6	in	in	ADP
fsr-3727	470	7	appendix	appendix	NOUN
fsr-3727	470	8	2	2	NUM
fsr-3727	470	9	.	.	PUNCT
fsr-3727	471	1	it	it	PRON
fsr-3727	471	2	turns	turn	VERB
fsr-3727	471	3	out	out	ADP
fsr-3727	471	4	that	that	SCONJ
fsr-3727	471	5	there	there	PRON
fsr-3727	471	6	is	be	VERB
fsr-3727	471	7	no	no	DET
fsr-3727	471	8	global	global	ADJ
fsr-3727	471	9	minimum	minimum	NOUN
fsr-3727	471	10	probability	probability	NOUN
fsr-3727	471	11	.	.	PUNCT
fsr-3727	472	1	intuitively	intuitively	ADV
fsr-3727	472	2	,	,	PUNCT
fsr-3727	472	3	if	if	SCONJ
fsr-3727	472	4	the	the	DET
fsr-3727	472	5	equity	equity	NOUN
fsr-3727	472	6	rate	rate	NOUN
fsr-3727	472	7	exceeds	exceed	VERB
fsr-3727	472	8	the	the	DET
fsr-3727	472	9	borrowing	borrowing	NOUN
fsr-3727	472	10	rate	rate	NOUN
fsr-3727	472	11	,	,	PUNCT
fsr-3727	472	12	you	you	PRON
fsr-3727	472	13	can	can	AUX
fsr-3727	472	14	always	always	ADV
fsr-3727	472	15	get	get	VERB
fsr-3727	472	16	a	a	DET
fsr-3727	472	17	little	little	ADJ
fsr-3727	472	18	lower	low	ADJ
fsr-3727	472	19	probability	probability	NOUN
fsr-3727	472	20	of	of	ADP
fsr-3727	472	21	failing	fail	VERB
fsr-3727	472	22	to	to	PART
fsr-3727	472	23	consume	consume	VERB
fsr-3727	472	24	a	a	DET
fsr-3727	472	25	given	give	VERB
fsr-3727	472	26	level	level	NOUN
fsr-3727	472	27	of	of	ADP
fsr-3727	472	28	income	income	NOUN
fsr-3727	472	29	by	by	ADP
fsr-3727	472	30	borrowing	borrow	VERB
fsr-3727	472	31	more	more	ADV
fsr-3727	472	32	and	and	CCONJ
fsr-3727	472	33	investing	invest	VERB
fsr-3727	472	34	it	it	PRON
fsr-3727	472	35	.	.	PUNCT
fsr-3727	473	1	the	the	DET
fsr-3727	473	2	objective	objective	ADJ
fsr-3727	473	3	function	function	NOUN
fsr-3727	473	4	does	do	AUX
fsr-3727	473	5	have	have	VERB
fsr-3727	473	6	a	a	DET
fsr-3727	473	7	well	well	ADV
fsr-3727	473	8	-	-	PUNCT
fsr-3727	473	9	defined	define	VERB
fsr-3727	473	10	asymptotic	asymptotic	ADJ
fsr-3727	473	11	value	value	NOUN
fsr-3727	473	12	,	,	PUNCT
fsr-3727	473	13	which	which	PRON
fsr-3727	473	14	can	can	AUX
fsr-3727	473	15	be	be	AUX
fsr-3727	473	16	obtained	obtain	VERB
fsr-3727	473	17	by	by	ADP
fsr-3727	473	18	taking	take	VERB
fsr-3727	473	19	the	the	DET
fsr-3727	473	20	limit	limit	NOUN
fsr-3727	473	21	as	as	ADP
fsr-3727	473	22	q	q	PROPN
fsr-3727	473	23	+	+	NOUN
fsr-3727	473	24	00	00	NUM
fsr-3727	473	25	.	.	PUNCT
fsr-3727	474	1	in	in	ADP
fsr-3727	474	2	other	other	ADJ
fsr-3727	474	3	words	word	NOUN
fsr-3727	474	4	,	,	PUNCT
fsr-3727	474	5	the	the	DET
fsr-3727	474	6	asymptotic	asymptotic	ADJ
fsr-3727	474	7	minimum	minimum	NOUN
fsr-3727	474	8	is	be	AUX
fsr-3727	474	9	the	the	DET
fsr-3727	474	10	probability	probability	NOUN
fsr-3727	474	11	of	of	ADP
fsr-3727	474	12	failing	fail	VERB
fsr-3727	474	13	to	to	PART
fsr-3727	474	14	earn	earn	VERB
fsr-3727	474	15	the	the	DET
fsr-3727	474	16	required	require	VERB
fsr-3727	474	17	rate	rate	NOUN
fsr-3727	474	18	of	of	ADP
fsr-3727	474	19	return	return	NOUN
fsr-3727	474	20	as	as	SCONJ
fsr-3727	474	21	the	the	DET
fsr-3727	474	22	individual	individual	NOUN
fsr-3727	474	23	’s	’s	PART
fsr-3727	474	24	margin	margin	NOUN
fsr-3727	474	25	approaches	approach	NOUN
fsr-3727	474	26	infinity	infinity	NOUN
fsr-3727	474	27	.	.	PUNCT
fsr-3727	475	1	we	we	PRON
fsr-3727	475	2	derive	derive	VERB
fsr-3727	475	3	a	a	DET
fsr-3727	475	4	reasonable	reasonable	ADJ
fsr-3727	475	5	and	and	CCONJ
fsr-3727	475	6	practical	practical	ADJ
fsr-3727	475	7	heuristic	heuristic	ADJ
fsr-3727	475	8	solution	solution	NOUN
fsr-3727	475	9	to	to	PART
fsr-3727	475	10	calculate	calculate	VERB
fsr-3727	475	11	the	the	DET
fsr-3727	475	12	margin	margin	NOUN
fsr-3727	475	13	,	,	PUNCT
fsr-3727	475	14	q	q	ADJ
fsr-3727	475	15	“	"	PUNCT
fsr-3727	475	16	,	,	PUNCT
fsr-3727	475	17	that	that	PRON
fsr-3727	475	18	is	be	AUX
fsr-3727	475	19	required	require	VERB
fsr-3727	475	20	for	for	SCONJ
fsr-3727	475	21	the	the	DET
fsr-3727	475	22	individual	individual	NOUN
fsr-3727	475	23	to	to	PART
fsr-3727	475	24	get	get	VERB
fsr-3727	475	25	‘	'	PUNCT
fsr-3727	475	26	very	very	ADV
fsr-3727	475	27	close	close	ADJ
fsr-3727	475	28	’	'	PUNCT
fsr-3727	475	29	to	to	ADP
fsr-3727	475	30	the	the	DET
fsr-3727	475	31	asymptotic	asymptotic	ADJ
fsr-3727	475	32	minimum	minimum	NOUN
fsr-3727	475	33	.	.	PUNCT
fsr-3727	476	1	we	we	PRON
fsr-3727	476	2	denote	denote	VERB
fsr-3727	476	3	this	this	DET
fsr-3727	476	4	distance	distance	NOUN
fsr-3727	476	5	to	to	ADP
fsr-3727	476	6	the	the	DET
fsr-3727	476	7	asymptotic	asymptotic	ADJ
fsr-3727	476	8	minimum	minimum	NOUN
fsr-3727	476	9	by	by	ADP
fsr-3727	476	10	e	e	NOUN
fsr-3727	476	11	,	,	PUNCT
fsr-3727	476	12	which	which	PRON
fsr-3727	476	13	can	can	AUX
fsr-3727	476	14	be	be	AUX
fsr-3727	476	15	any	any	DET
fsr-3727	476	16	arbitrarily	arbitrarily	ADV
fsr-3727	476	17	-	-	PUNCT
fsr-3727	476	18	small	small	ADJ
fsr-3727	476	19	fraction	fraction	NOUN
fsr-3727	476	20	.	.	PUNCT
fsr-3727	477	1	118	118	NUM
fsr-3727	477	2	financial	financial	ADJ
fsr-3727	477	3	services	service	NOUN
fsr-3727	477	4	review	review	NOUN
fsr-3727	477	5	,	,	PUNCT
fsr-3727	477	6	3(2	3(2	NUM
fsr-3727	477	7	)	)	PUNCT
fsr-3727	477	8	1994	1994	NUM
fsr-3727	477	9	the	the	DET
fsr-3727	477	10	probability	probability	NOUN
fsr-3727	477	11	approaches	approach	VERB
fsr-3727	477	12	the	the	DET
fsr-3727	477	13	asymptotic	asymptotic	ADJ
fsr-3727	477	14	minimum	minimum	NOUN
fsr-3727	477	15	fairly	fairly	ADV
fsr-3727	477	16	quickly	quickly	ADV
fsr-3727	477	17	,	,	PUNCT
fsr-3727	477	18	and	and	CCONJ
fsr-3727	477	19	so	so	ADV
fsr-3727	477	20	values	value	NOUN
fsr-3727	477	21	of	of	ADP
fsr-3727	477	22	the	the	DET
fsr-3727	477	23	order	order	NOUN
fsr-3727	477	24	of	of	ADP
fsr-3727	477	25	one	one	NUM
fsr-3727	477	26	to	to	PART
fsr-3727	477	27	five	five	NUM
fsr-3727	477	28	percent	percent	NOUN
fsr-3727	477	29	give	give	VERB
fsr-3727	477	30	reasonable	reasonable	ADJ
fsr-3727	477	31	answers	answer	NOUN
fsr-3727	477	32	.	.	PUNCT
fsr-3727	478	1	what	what	PRON
fsr-3727	478	2	follows	follow	VERB
fsr-3727	478	3	is	be	AUX
fsr-3727	478	4	a	a	DET
fsr-3727	478	5	table	table	NOUN
fsr-3727	478	6	of	of	ADP
fsr-3727	478	7	values	value	NOUN
fsr-3727	478	8	of	of	ADP
fsr-3727	478	9	q	q	NOUN
fsr-3727	478	10	”	"	PUNCT
fsr-3727	478	11	for	for	ADP
fsr-3727	478	12	various	various	ADJ
fsr-3727	478	13	values	value	NOUN
fsr-3727	478	14	of	of	ADP
fsr-3727	478	15	d	d	PROPN
fsr-3727	478	16	with	with	ADP
fsr-3727	478	17	an	an	DET
fsr-3727	478	18	e	e	NOUN
fsr-3727	478	19	=	=	NOUN
fsr-3727	478	20	0.02	0.02	NUM
fsr-3727	478	21	under	under	ADP
fsr-3727	478	22	the	the	DET
fsr-3727	478	23	assumption	assumption	NOUN
fsr-3727	478	24	that	that	SCONJ
fsr-3727	478	25	one	one	NUM
fsr-3727	478	26	plus	plus	CCONJ
fsr-3727	478	27	the	the	DET
fsr-3727	478	28	margin	margin	NOUN
fsr-3727	478	29	interest	interest	NOUN
fsr-3727	478	30	rate	rate	NOUN
fsr-3727	478	31	is	be	AUX
fsr-3727	478	32	rb	rb	NOUN
fsr-3727	478	33	=	=	SYM
fsr-3727	478	34	1.03	1.03	NUM
fsr-3727	478	35	while	while	SCONJ
fsr-3727	478	36	one	one	NUM
fsr-3727	478	37	plus	plus	ADP
fsr-3727	478	38	the	the	DET
fsr-3727	478	39	expected	expect	VERB
fsr-3727	478	40	rate	rate	NOUN
fsr-3727	478	41	of	of	ADP
fsr-3727	478	42	return	return	NOUN
fsr-3727	478	43	on	on	ADP
fsr-3727	478	44	equity	equity	NOUN
fsr-3727	478	45	is	be	AUX
fsr-3727	478	46	peq	peq	PROPN
fsr-3727	478	47	=	=	PROPN
fsr-3727	478	48	1.08	1.08	NUM
fsr-3727	478	49	and	and	CCONJ
fsr-3727	478	50	the	the	DET
fsr-3727	478	51	standard	standard	ADJ
fsr-3727	478	52	deviation	deviation	NOUN
fsr-3727	478	53	is	be	AUX
fsr-3727	478	54	cre4	cre4	VERB
fsr-3727	478	55	=	=	PROPN
fsr-3727	479	1	0.175	0.175	NUM
fsr-3727	479	2	.	.	PUNCT
fsr-3727	480	1	these	these	DET
fsr-3727	480	2	values	value	NOUN
fsr-3727	480	3	are	be	AUX
fsr-3727	480	4	again	again	ADV
fsr-3727	480	5	all	all	ADV
fsr-3727	480	6	in	in	ADP
fsr-3727	480	7	real	real	ADJ
fsr-3727	480	8	terms	term	NOUN
fsr-3727	480	9	.	.	PUNCT
fsr-3727	481	1	d	d	NOUN
fsr-3727	481	2	1.040	1.040	NUM
fsr-3727	481	3	1.045	1.045	NUM
fsr-3727	481	4	1.050	1.050	NUM
fsr-3727	481	5	1.055	1.055	NUM
fsr-3727	481	6	1.060	1.060	NUM
fsr-3727	481	7	1.070	1.070	NUM
fsr-3727	481	8	1.080	1.080	NUM
fsr-3727	481	9	1.100	1.100	NUM
fsr-3727	481	10	4	4	NUM
fsr-3727	481	11	”	”	NUM
fsr-3727	481	12	0.1019	0.1019	NUM
fsr-3727	481	13	0.6527	0.6527	NUM
fsr-3727	481	14	1.2037	1.2037	NUM
fsr-3727	481	15	1.7547	1.7547	NUM
fsr-3727	481	16	2.3056	2.3056	NUM
fsr-3727	481	17	3.4071	3.4071	NUM
fsr-3727	481	18	4.5094	4.5094	NUM
fsr-3727	481	19	6.7132	6.7132	NUM
fsr-3727	481	20	this	this	PRON
fsr-3727	481	21	illustrates	illustrate	VERB
fsr-3727	481	22	the	the	DET
fsr-3727	481	23	fact	fact	NOUN
fsr-3727	481	24	that	that	SCONJ
fsr-3727	481	25	once	once	SCONJ
fsr-3727	481	26	the	the	DET
fsr-3727	481	27	required	require	VERB
fsr-3727	481	28	rate	rate	NOUN
fsr-3727	481	29	of	of	ADP
fsr-3727	481	30	return	return	NOUN
fsr-3727	481	31	on	on	ADP
fsr-3727	481	32	investors	investor	NOUN
fsr-3727	481	33	’	’	PART
fsr-3727	481	34	wealth	wealth	NOUN
fsr-3727	481	35	d	d	NOUN
fsr-3727	481	36	exceeds	exceed	VERB
fsr-3727	481	37	the	the	DET
fsr-3727	481	38	margin	margin	NOUN
fsr-3727	481	39	interest	interest	NOUN
fsr-3727	481	40	rate	rate	NOUN
fsr-3727	481	41	rb	rb	PROPN
fsr-3727	481	42	,	,	PUNCT
fsr-3727	481	43	by	by	ADP
fsr-3727	481	44	more	more	ADJ
fsr-3727	481	45	than	than	ADP
fsr-3727	481	46	a	a	DET
fsr-3727	481	47	little	little	ADJ
fsr-3727	481	48	,	,	PUNCT
fsr-3727	481	49	the	the	DET
fsr-3727	481	50	actual	actual	ADJ
fsr-3727	481	51	‘	'	PUNCT
fsr-3727	481	52	optimal	optimal	ADJ
fsr-3727	481	53	’	'	PUNCT
fsr-3727	481	54	margin	margin	NOUN
fsr-3727	481	55	rate	rate	NOUN
fsr-3727	481	56	q	q	NOUN
fsr-3727	481	57	”	"	PUNCT
fsr-3727	481	58	becomes	become	VERB
fsr-3727	481	59	unreasonably	unreasonably	ADV
fsr-3727	481	60	high	high	ADJ
fsr-3727	481	61	,	,	PUNCT
fsr-3727	481	62	and	and	CCONJ
fsr-3727	481	63	on	on	ADP
fsr-3727	481	64	the	the	DET
fsr-3727	481	65	practical	practical	ADJ
fsr-3727	481	66	level	level	NOUN
fsr-3727	481	67	a	a	DET
fsr-3727	481	68	lottery	lottery	NOUN
fsr-3727	481	69	ticket	ticket	NOUN
fsr-3727	481	70	.	.	PUNCT
fsr-3727	482	1	v.	v.	ADP
fsr-3727	482	2	retirement	retirement	NOUN
fsr-3727	482	3	planning	planning	NOUN
fsr-3727	482	4	implications	implication	NOUN
fsr-3727	482	5	the	the	DET
fsr-3727	482	6	most	most	ADV
fsr-3727	482	7	important	important	ADJ
fsr-3727	482	8	implication	implication	NOUN
fsr-3727	482	9	is	be	AUX
fsr-3727	482	10	that	that	SCONJ
fsr-3727	482	11	retirees	retiree	NOUN
fsr-3727	482	12	should	should	AUX
fsr-3727	482	13	be	be	AUX
fsr-3727	482	14	holding	hold	VERB
fsr-3727	482	15	a	a	DET
fsr-3727	482	16	lot	lot	NOUN
fsr-3727	482	17	of	of	ADP
fsr-3727	482	18	high	high	ADJ
fsr-3727	482	19	risk	risk	NOUN
fsr-3727	482	20	,	,	PUNCT
fsr-3727	482	21	high	high	ADJ
fsr-3727	482	22	return	return	NOUN
fsr-3727	482	23	assets	asset	NOUN
fsr-3727	482	24	in	in	ADP
fsr-3727	482	25	their	their	PRON
fsr-3727	482	26	portfolios	portfolio	NOUN
fsr-3727	482	27	at	at	ADP
fsr-3727	482	28	much	much	ADV
fsr-3727	482	29	later	late	ADJ
fsr-3727	482	30	ages	age	NOUN
fsr-3727	482	31	than	than	ADP
fsr-3727	482	32	most	most	ADJ
fsr-3727	482	33	financial	financial	ADJ
fsr-3727	482	34	planners	planner	NOUN
fsr-3727	482	35	and	and	CCONJ
fsr-3727	482	36	authors	author	NOUN
fsr-3727	482	37	have	have	AUX
fsr-3727	482	38	recommended	recommend	VERB
fsr-3727	482	39	.	.	PUNCT
fsr-3727	483	1	equity	equity	NOUN
fsr-3727	483	2	and	and	CCONJ
fsr-3727	483	3	treasury	treasury	PROPN
fsr-3727	483	4	bills	bill	NOUN
fsr-3727	483	5	are	be	AUX
fsr-3727	483	6	merely	merely	ADV
fsr-3727	483	7	representative	representative	ADJ
fsr-3727	483	8	of	of	ADP
fsr-3727	483	9	classes	class	NOUN
fsr-3727	483	10	of	of	ADP
fsr-3727	483	11	assets	asset	NOUN
fsr-3727	483	12	and	and	CCONJ
fsr-3727	483	13	the	the	DET
fsr-3727	483	14	implications	implication	NOUN
fsr-3727	483	15	extend	extend	VERB
fsr-3727	483	16	to	to	ADP
fsr-3727	483	17	all	all	DET
fsr-3727	483	18	situations	situation	NOUN
fsr-3727	483	19	.	.	PUNCT
fsr-3727	484	1	there	there	PRON
fsr-3727	484	2	are	be	VERB
fsr-3727	484	3	more	more	ADJ
fsr-3727	484	4	portfolios	portfolio	NOUN
fsr-3727	484	5	with	with	ADP
fsr-3727	484	6	100	100	NUM
fsr-3727	484	7	percent	percent	NOUN
fsr-3727	484	8	equity	equity	NOUN
fsr-3727	484	9	for	for	ADP
fsr-3727	484	10	women	woman	NOUN
fsr-3727	484	11	than	than	ADP
fsr-3727	484	12	men	man	NOUN
fsr-3727	484	13	,	,	PUNCT
fsr-3727	484	14	because	because	SCONJ
fsr-3727	484	15	they	they	PRON
fsr-3727	484	16	have	have	VERB
fsr-3727	484	17	longer	long	ADJ
fsr-3727	484	18	life	life	NOUN
fsr-3727	484	19	expectancy	expectancy	NOUN
fsr-3727	484	20	.	.	PUNCT
fsr-3727	485	1	we	we	PRON
fsr-3727	485	2	have	have	AUX
fsr-3727	485	3	not	not	PART
fsr-3727	485	4	seen	see	VERB
fsr-3727	485	5	any	any	DET
fsr-3727	485	6	personal	personal	ADJ
fsr-3727	485	7	finance	finance	NOUN
fsr-3727	485	8	source	source	NOUN
fsr-3727	485	9	advising	advise	VERB
fsr-3727	485	10	women	woman	NOUN
fsr-3727	485	11	that	that	SCONJ
fsr-3727	485	12	equity	equity	NOUN
fsr-3727	485	13	is	be	AUX
fsr-3727	485	14	even	even	ADV
fsr-3727	485	15	more	more	ADV
fsr-3727	485	16	important	important	ADJ
fsr-3727	485	17	for	for	ADP
fsr-3727	485	18	them	they	PRON
fsr-3727	485	19	than	than	ADP
fsr-3727	485	20	for	for	ADP
fsr-3727	485	21	menthe	menthe	PRON
fsr-3727	485	22	implicit	implicit	ADJ
fsr-3727	485	23	assumption	assumption	NOUN
fsr-3727	485	24	is	be	AUX
fsr-3727	485	25	that	that	SCONJ
fsr-3727	485	26	the	the	DET
fsr-3727	485	27	allocation	allocation	NOUN
fsr-3727	485	28	should	should	AUX
fsr-3727	485	29	be	be	AUX
fsr-3727	485	30	the	the	DET
fsr-3727	485	31	same	same	ADJ
fsr-3727	485	32	for	for	ADP
fsr-3727	485	33	both	both	DET
fsr-3727	485	34	sexes	sex	NOUN
fsr-3727	485	35	.	.	PUNCT
fsr-3727	486	1	if	if	SCONJ
fsr-3727	486	2	the	the	DET
fsr-3727	486	3	unsystematic	unsystematic	ADJ
fsr-3727	486	4	comments	comment	NOUN
fsr-3727	486	5	of	of	ADP
fsr-3727	486	6	investment	investment	NOUN
fsr-3727	486	7	advisers	adviser	NOUN
fsr-3727	486	8	are	be	AUX
fsr-3727	486	9	valid	valid	ADJ
fsr-3727	486	10	,	,	PUNCT
fsr-3727	486	11	it	it	PRON
fsr-3727	486	12	appears	appear	VERB
fsr-3727	486	13	that	that	SCONJ
fsr-3727	486	14	women	woman	NOUN
fsr-3727	486	15	are	be	AUX
fsr-3727	486	16	less	less	ADV
fsr-3727	486	17	likely	likely	ADJ
fsr-3727	486	18	than	than	SCONJ
fsr-3727	486	19	men	man	NOUN
fsr-3727	486	20	to	to	PART
fsr-3727	486	21	buy	buy	VERB
fsr-3727	486	22	shares	share	NOUN
fsr-3727	486	23	.	.	PUNCT
fsr-3727	487	1	the	the	DET
fsr-3727	487	2	evidence	evidence	NOUN
fsr-3727	487	3	in	in	ADP
fsr-3727	487	4	this	this	DET
fsr-3727	487	5	paper	paper	NOUN
fsr-3727	487	6	shows	show	VERB
fsr-3727	487	7	that	that	SCONJ
fsr-3727	487	8	this	this	DET
fsr-3727	487	9	tendency	tendency	NOUN
fsr-3727	487	10	is	be	AUX
fsr-3727	487	11	riskier	risky	ADJ
fsr-3727	487	12	,	,	PUNCT
fsr-3727	487	13	not	not	PART
fsr-3727	487	14	safer	safe	ADJ
fsr-3727	487	15	,	,	PUNCT
fsr-3727	487	16	since	since	SCONJ
fsr-3727	487	17	women	woman	NOUN
fsr-3727	487	18	thus	thus	ADV
fsr-3727	487	19	have	have	VERB
fsr-3727	487	20	an	an	DET
fsr-3727	487	21	even	even	ADV
fsr-3727	487	22	higher	high	ADJ
fsr-3727	487	23	probability	probability	NOUN
fsr-3727	487	24	of	of	ADP
fsr-3727	487	25	outliving	outlive	VERB
fsr-3727	487	26	their	their	PRON
fsr-3727	487	27	capital	capital	NOUN
fsr-3727	487	28	.	.	PUNCT
fsr-3727	488	1	suppose	suppose	VERB
fsr-3727	488	2	we	we	PRON
fsr-3727	488	3	consider	consider	VERB
fsr-3727	488	4	malkiel	malkiel	VERB
fsr-3727	488	5	’s	’s	PART
fsr-3727	488	6	advice	advice	NOUN
fsr-3727	488	7	,	,	PUNCT
fsr-3727	488	8	as	as	SCONJ
fsr-3727	488	9	quoted	quote	VERB
fsr-3727	488	10	earlier	early	ADV
fsr-3727	488	11	,	,	PUNCT
fsr-3727	488	12	to	to	PART
fsr-3727	488	13	move	move	VERB
fsr-3727	488	14	into	into	ADP
fsr-3727	488	15	long	long	ADJ
fsr-3727	488	16	-	-	PUNCT
fsr-3727	488	17	term	term	NOUN
fsr-3727	488	18	bonds	bond	NOUN
fsr-3727	488	19	as	as	SCONJ
fsr-3727	488	20	retirement	retirement	NOUN
fsr-3727	488	21	nears	near	VERB
fsr-3727	488	22	.	.	PUNCT
fsr-3727	489	1	let	let	VERB
fsr-3727	489	2	us	we	PRON
fsr-3727	489	3	assume	assume	VERB
fsr-3727	489	4	that	that	SCONJ
fsr-3727	489	5	long	long	ADJ
fsr-3727	489	6	-	-	PUNCT
fsr-3727	489	7	term	term	NOUN
fsr-3727	489	8	bonds	bond	NOUN
fsr-3727	489	9	are	be	AUX
fsr-3727	489	10	expected	expect	VERB
fsr-3727	489	11	to	to	PART
fsr-3727	489	12	yield	yield	VERB
fsr-3727	489	13	a	a	DET
fsr-3727	489	14	five	five	NUM
fsr-3727	489	15	percent	percent	NOUN
fsr-3727	489	16	real	real	ADJ
fsr-3727	489	17	rate.7	rate.7	PROPN
fsr-3727	489	18	as	as	ADV
fsr-3727	489	19	long	long	ADV
fsr-3727	489	20	as	as	SCONJ
fsr-3727	489	21	obbonds	obbond	VERB
fsr-3727	489	22	<	<	X
fsr-3727	489	23	oeq	oeq	PROPN
fsr-3727	489	24	,	,	PUNCT
fsr-3727	489	25	the	the	DET
fsr-3727	489	26	standard	standard	ADJ
fsr-3727	489	27	deviation	deviation	NOUN
fsr-3727	489	28	is	be	AUX
fsr-3727	489	29	irrelevant	irrelevant	ADJ
fsr-3727	489	30	in	in	ADP
fsr-3727	489	31	determining	determine	VERB
fsr-3727	489	32	whether	whether	SCONJ
fsr-3727	489	33	or	or	CCONJ
fsr-3727	489	34	not	not	PART
fsr-3727	489	35	equity	equity	NOUN
fsr-3727	489	36	dominates	dominate	VERB
fsr-3727	489	37	.	.	PUNCT
fsr-3727	490	1	for	for	ADP
fsr-3727	490	2	every	every	DET
fsr-3727	490	3	case	case	NOUN
fsr-3727	490	4	in	in	ADP
fsr-3727	490	5	which	which	PRON
fsr-3727	490	6	l	l	PROPN
fsr-3727	490	7	&	&	CCONJ
fsr-3727	490	8	,	,	PUNCT
fsr-3727	490	9	,	,	PUNCT
fsr-3727	490	10	&	&	CCONJ
fsr-3727	490	11	_	_	PRON
fsr-3727	490	12	<	<	X
fsr-3727	490	13	d	d	X
fsr-3727	490	14	,	,	PUNCT
fsr-3727	490	15	the	the	DET
fsr-3727	490	16	probability	probability	NOUN
fsr-3727	490	17	of	of	ADP
fsr-3727	490	18	not	not	PART
fsr-3727	490	19	having	have	VERB
fsr-3727	490	20	enough	enough	ADJ
fsr-3727	490	21	to	to	PART
fsr-3727	490	22	consume	consume	VERB
fsr-3727	490	23	is	be	AUX
fsr-3727	490	24	minimized	minimize	VERB
fsr-3727	490	25	(	(	PUNCT
fsr-3727	490	26	as	as	ADV
fsr-3727	490	27	much	much	ADJ
fsr-3727	490	28	as	as	SCONJ
fsr-3727	490	29	is	be	AUX
fsr-3727	490	30	feasible	feasible	ADJ
fsr-3727	490	31	)	)	PUNCT
fsr-3727	490	32	by	by	ADP
fsr-3727	490	33	an	an	DET
fsr-3727	490	34	all	all	DET
fsr-3727	490	35	-	-	PUNCT
fsr-3727	490	36	equity	equity	NOUN
fsr-3727	490	37	portfolio	portfolio	NOUN
fsr-3727	490	38	.	.	PUNCT
fsr-3727	491	1	inspection	inspection	NOUN
fsr-3727	491	2	of	of	ADP
fsr-3727	491	3	table	table	NOUN
fsr-3727	491	4	2	2	NUM
fsr-3727	491	5	reveals	reveal	VERB
fsr-3727	491	6	that	that	SCONJ
fsr-3727	491	7	a	a	DET
fsr-3727	491	8	five	five	NUM
fsr-3727	491	9	percent	percent	NOUN
fsr-3727	491	10	required	require	VERB
fsr-3727	491	11	rate	rate	NOUN
fsr-3727	491	12	would	would	AUX
fsr-3727	491	13	turn	turn	VERB
fsr-3727	491	14	15	15	NUM
fsr-3727	491	15	of	of	ADP
fsr-3727	491	16	the	the	DET
fsr-3727	491	17	all	all	DET
fsr-3727	491	18	-	-	PUNCT
fsr-3727	491	19	equity	equity	NOUN
fsr-3727	491	20	cases	case	NOUN
fsr-3727	491	21	into	into	ADP
fsr-3727	491	22	internal	internal	ADJ
fsr-3727	491	23	optima	optima	NOUN
fsr-3727	491	24	with	with	ADP
fsr-3727	491	25	a	a	DET
fsr-3727	491	26	mixture	mixture	NOUN
fsr-3727	491	27	of	of	ADP
fsr-3727	491	28	bonds	bond	NOUN
fsr-3727	491	29	and	and	CCONJ
fsr-3727	491	30	equity	equity	NOUN
fsr-3727	491	31	.	.	PUNCT
fsr-3727	492	1	a	a	DET
fsr-3727	492	2	greater	great	ADJ
fsr-3727	492	3	number	number	NOUN
fsr-3727	492	4	of	of	ADP
fsr-3727	492	5	all	all	DET
fsr-3727	492	6	-	-	PUNCT
fsr-3727	492	7	equity	equity	NOUN
fsr-3727	492	8	cases	case	NOUN
fsr-3727	492	9	remain	remain	VERB
fsr-3727	492	10	,	,	PUNCT
fsr-3727	492	11	and	and	CCONJ
fsr-3727	492	12	they	they	PRON
fsr-3727	492	13	can	can	AUX
fsr-3727	492	14	occur	occur	VERB
fsr-3727	492	15	as	as	ADV
fsr-3727	492	16	late	late	ADV
fsr-3727	492	17	as	as	ADP
fsr-3727	492	18	age	age	NOUN
fsr-3727	492	19	75	75	NUM
fsr-3727	492	20	for	for	ADP
fsr-3727	492	21	men	man	NOUN
fsr-3727	492	22	and	and	CCONJ
fsr-3727	492	23	age	age	NOUN
fsr-3727	492	24	80	80	NUM
fsr-3727	492	25	for	for	ADP
fsr-3727	492	26	women	woman	NOUN
fsr-3727	492	27	.	.	PUNCT
fsr-3727	493	1	thus	thus	ADV
fsr-3727	493	2	,	,	PUNCT
fsr-3727	493	3	malkiel	malkiel	PROPN
fsr-3727	493	4	’s	’s	PART
fsr-3727	493	5	advice	advice	NOUN
fsr-3727	493	6	is	be	AUX
fsr-3727	493	7	not	not	PART
fsr-3727	493	8	appropriate	appropriate	ADJ
fsr-3727	493	9	for	for	ADP
fsr-3727	493	10	all	all	DET
fsr-3727	493	11	retirees	retiree	NOUN
fsr-3727	493	12	.	.	PUNCT
fsr-3727	494	1	finally	finally	ADV
fsr-3727	494	2	,	,	PUNCT
fsr-3727	494	3	borrowing	borrowing	NOUN
fsr-3727	494	4	does	do	AUX
fsr-3727	494	5	not	not	PART
fsr-3727	494	6	seem	seem	VERB
fsr-3727	494	7	to	to	PART
fsr-3727	494	8	be	be	AUX
fsr-3727	494	9	a	a	DET
fsr-3727	494	10	good	good	ADJ
fsr-3727	494	11	plan	plan	NOUN
fsr-3727	494	12	to	to	PART
fsr-3727	494	13	cover	cover	VERB
fsr-3727	494	14	shortfall	shortfall	NOUN
fsr-3727	494	15	in	in	ADP
fsr-3727	494	16	most	most	ADJ
fsr-3727	494	17	cases	case	NOUN
fsr-3727	494	18	.	.	PUNCT
fsr-3727	495	1	a	a	DET
fsr-3727	495	2	person	person	NOUN
fsr-3727	495	3	who	who	PRON
fsr-3727	495	4	is	be	AUX
fsr-3727	495	5	short	short	ADJ
fsr-3727	495	6	a	a	DET
fsr-3727	495	7	lot	lot	NOUN
fsr-3727	495	8	must	must	AUX
fsr-3727	495	9	borrow	borrow	VERB
fsr-3727	495	10	an	an	DET
fsr-3727	495	11	unreasonably	unreasonably	ADV
fsr-3727	495	12	large	large	ADJ
fsr-3727	495	13	amount	amount	NOUN
fsr-3727	495	14	to	to	PART
fsr-3727	495	15	reach	reach	VERB
fsr-3727	495	16	desired	desire	VERB
fsr-3727	495	17	consumption	consumption	NOUN
fsr-3727	495	18	.	.	PUNCT
fsr-3727	496	1	someone	someone	PRON
fsr-3727	496	2	close	close	ADJ
fsr-3727	496	3	to	to	ADP
fsr-3727	496	4	the	the	DET
fsr-3727	496	5	line	line	NOUN
fsr-3727	496	6	should	should	AUX
fsr-3727	496	7	be	be	AUX
fsr-3727	496	8	able	able	ADJ
fsr-3727	496	9	to	to	PART
fsr-3727	496	10	reduce	reduce	VERB
fsr-3727	496	11	current	current	ADJ
fsr-3727	496	12	consumption	consumption	NOUN
fsr-3727	496	13	,	,	PUNCT
fsr-3727	496	14	rethink	rethink	VERB
fsr-3727	496	15	planned	plan	VERB
fsr-3727	496	16	future	future	ADJ
fsr-3727	496	17	consumption	consumption	NOUN
fsr-3727	496	18	,	,	PUNCT
fsr-3727	496	19	and/or	and/or	CCONJ
fsr-3727	496	20	defer	defer	VERB
fsr-3727	496	21	retirement	retirement	NOUN
fsr-3727	496	22	date	date	NOUN
fsr-3727	496	23	.	.	PUNCT
fsr-3727	497	1	asset	asset	NOUN
fsr-3727	497	2	allocation	allocation	NOUN
fsr-3727	497	3	,	,	PUNCT
fsr-3727	497	4	life	life	NOUN
fsr-3727	497	5	expectancy	expectancy	NOUN
fsr-3727	497	6	and	and	CCONJ
fsr-3727	497	7	shortfall	shortfall	NOUN
fsr-3727	497	8	119	119	NUM
fsr-3727	497	9	vi	vi	NOUN
fsr-3727	497	10	.	.	PUNCT
fsr-3727	498	1	conclusion	conclusion	NOUN
fsr-3727	498	2	we	we	PRON
fsr-3727	498	3	have	have	AUX
fsr-3727	498	4	developed	develop	VERB
fsr-3727	498	5	a	a	DET
fsr-3727	498	6	procedure	procedure	NOUN
fsr-3727	498	7	for	for	ADP
fsr-3727	498	8	a	a	DET
fsr-3727	498	9	retiree	retiree	NOUN
fsr-3727	498	10	to	to	PART
fsr-3727	498	11	estimate	estimate	VERB
fsr-3727	498	12	how	how	SCONJ
fsr-3727	498	13	to	to	PART
fsr-3727	498	14	allocate	allocate	VERB
fsr-3727	498	15	his	his	PRON
fsr-3727	498	16	/	/	SYM
fsr-3727	498	17	her	her	PRON
fsr-3727	498	18	investable	investable	ADJ
fsr-3727	498	19	wealth	wealth	NOUN
fsr-3727	498	20	between	between	ADP
fsr-3727	498	21	any	any	DET
fsr-3727	498	22	two	two	NUM
fsr-3727	498	23	classes	class	NOUN
fsr-3727	498	24	of	of	ADP
fsr-3727	498	25	investment	investment	NOUN
fsr-3727	498	26	assets	asset	NOUN
fsr-3727	498	27	.	.	PUNCT
fsr-3727	499	1	this	this	DET
fsr-3727	499	2	procedure	procedure	NOUN
fsr-3727	499	3	combines	combine	VERB
fsr-3727	499	4	mortality	mortality	NOUN
fsr-3727	499	5	tables	table	NOUN
fsr-3727	499	6	,	,	PUNCT
fsr-3727	499	7	desired	desire	VERB
fsr-3727	499	8	consumption	consumption	NOUN
fsr-3727	499	9	,	,	PUNCT
fsr-3727	499	10	initial	initial	ADJ
fsr-3727	499	11	investable	investable	ADJ
fsr-3727	499	12	wealth	wealth	NOUN
fsr-3727	499	13	,	,	PUNCT
fsr-3727	499	14	and	and	CCONJ
fsr-3727	499	15	the	the	DET
fsr-3727	499	16	age	age	NOUN
fsr-3727	499	17	of	of	ADP
fsr-3727	499	18	the	the	DET
fsr-3727	499	19	retiree	retiree	NOUN
fsr-3727	499	20	in	in	ADP
fsr-3727	499	21	a	a	DET
fsr-3727	499	22	single	single	ADJ
fsr-3727	499	23	analytic	analytic	ADJ
fsr-3727	499	24	result	result	NOUN
fsr-3727	499	25	.	.	PUNCT
fsr-3727	500	1	numerical	numerical	ADJ
fsr-3727	500	2	examples	example	NOUN
fsr-3727	500	3	using	use	VERB
fsr-3727	500	4	realistic	realistic	ADJ
fsr-3727	500	5	values	value	NOUN
fsr-3727	500	6	show	show	VERB
fsr-3727	500	7	that	that	SCONJ
fsr-3727	500	8	if	if	SCONJ
fsr-3727	500	9	the	the	DET
fsr-3727	500	10	risky	risky	ADJ
fsr-3727	500	11	asset	asset	NOUN
fsr-3727	500	12	is	be	AUX
fsr-3727	500	13	equity	equity	NOUN
fsr-3727	500	14	and	and	CCONJ
fsr-3727	500	15	the	the	DET
fsr-3727	500	16	safe	safe	ADJ
fsr-3727	500	17	asset	asset	NOUN
fsr-3727	500	18	treasury	treasury	NOUN
fsr-3727	500	19	bills	bill	NOUN
fsr-3727	500	20	,	,	PUNCT
fsr-3727	500	21	the	the	DET
fsr-3727	500	22	allocation	allocation	NOUN
fsr-3727	500	23	favors	favor	VERB
fsr-3727	500	24	all	all	DET
fsr-3727	500	25	equity	equity	NOUN
fsr-3727	500	26	in	in	ADP
fsr-3727	500	27	a	a	DET
fsr-3727	500	28	large	large	ADJ
fsr-3727	500	29	number	number	NOUN
fsr-3727	500	30	of	of	ADP
fsr-3727	500	31	cases	case	NOUN
fsr-3727	500	32	,	,	PUNCT
fsr-3727	500	33	even	even	ADV
fsr-3727	500	34	well	well	ADV
fsr-3727	500	35	into	into	ADP
fsr-3727	500	36	retirement	retirement	NOUN
fsr-3727	500	37	years	year	NOUN
fsr-3727	500	38	.	.	PUNCT
fsr-3727	501	1	a	a	DET
fsr-3727	501	2	similar	similar	ADJ
fsr-3727	501	3	result	result	NOUN
fsr-3727	501	4	will	will	AUX
fsr-3727	501	5	hold	hold	VERB
fsr-3727	501	6	for	for	ADP
fsr-3727	501	7	long	long	ADJ
fsr-3727	501	8	-	-	PUNCT
fsr-3727	501	9	term	term	NOUN
fsr-3727	501	10	bonds	bond	NOUN
fsr-3727	501	11	.	.	PUNCT
fsr-3727	502	1	the	the	DET
fsr-3727	502	2	procedure	procedure	NOUN
fsr-3727	502	3	is	be	AUX
fsr-3727	502	4	easily	easily	ADV
fsr-3727	502	5	adaptable	adaptable	ADJ
fsr-3727	502	6	to	to	ADP
fsr-3727	502	7	any	any	DET
fsr-3727	502	8	mortality	mortality	NOUN
fsr-3727	502	9	schedule	schedule	NOUN
fsr-3727	502	10	,	,	PUNCT
fsr-3727	502	11	initial	initial	ADJ
fsr-3727	502	12	wealth	wealth	NOUN
fsr-3727	502	13	,	,	PUNCT
fsr-3727	502	14	desired	desire	VERB
fsr-3727	502	15	consumption	consumption	NOUN
fsr-3727	502	16	,	,	PUNCT
fsr-3727	502	17	and	and	CCONJ
fsr-3727	502	18	set	set	NOUN
fsr-3727	502	19	of	of	ADP
fsr-3727	502	20	returns	return	NOUN
fsr-3727	502	21	and	and	CCONJ
fsr-3727	502	22	standard	standard	ADJ
fsr-3727	502	23	deviations	deviation	NOUN
fsr-3727	502	24	.	.	PUNCT
fsr-3727	503	1	the	the	DET
fsr-3727	503	2	procedure	procedure	NOUN
fsr-3727	503	3	is	be	AUX
fsr-3727	503	4	generalizable	generalizable	ADJ
fsr-3727	503	5	to	to	ADP
fsr-3727	503	6	situations	situation	NOUN
fsr-3727	503	7	where	where	SCONJ
fsr-3727	503	8	the	the	DET
fsr-3727	503	9	individual	individual	NOUN
fsr-3727	503	10	’s	’s	PART
fsr-3727	503	11	initial	initial	ADJ
fsr-3727	503	12	wealth	wealth	NOUN
fsr-3727	503	13	includes	include	VERB
fsr-3727	503	14	one	one	NUM
fsr-3727	503	15	or	or	CCONJ
fsr-3727	503	16	more	more	ADJ
fsr-3727	503	17	pension	pension	NOUN
fsr-3727	503	18	plans	plan	NOUN
fsr-3727	503	19	,	,	PUNCT
fsr-3727	503	20	sponsored	sponsor	VERB
fsr-3727	503	21	by	by	ADP
fsr-3727	503	22	government	government	NOUN
fsr-3727	503	23	,	,	PUNCT
fsr-3727	503	24	employer	employer	NOUN
fsr-3727	503	25	or	or	CCONJ
fsr-3727	503	26	self	self	NOUN
fsr-3727	503	27	.	.	PUNCT
fsr-3727	504	1	defined	define	VERB
fsr-3727	504	2	contribution	contribution	NOUN
fsr-3727	504	3	plans	plan	NOUN
fsr-3727	504	4	simply	simply	ADV
fsr-3727	504	5	provide	provide	VERB
fsr-3727	504	6	a	a	DET
fsr-3727	504	7	part	part	NOUN
fsr-3727	504	8	of	of	ADP
fsr-3727	504	9	the	the	DET
fsr-3727	504	10	initial	initial	ADJ
fsr-3727	504	11	wealth	wealth	NOUN
fsr-3727	504	12	to	to	PART
fsr-3727	504	13	be	be	AUX
fsr-3727	504	14	allocated	allocate	VERB
fsr-3727	504	15	.	.	PUNCT
fsr-3727	505	1	the	the	DET
fsr-3727	505	2	pension	pension	NOUN
fsr-3727	505	3	provided	provide	VERB
fsr-3727	505	4	by	by	ADP
fsr-3727	505	5	the	the	DET
fsr-3727	505	6	defined	define	VERB
fsr-3727	505	7	benefit	benefit	NOUN
fsr-3727	505	8	plan	plan	NOUN
fsr-3727	505	9	can	can	AUX
fsr-3727	505	10	be	be	AUX
fsr-3727	505	11	deducted	deduct	VERB
fsr-3727	505	12	from	from	ADP
fsr-3727	505	13	the	the	DET
fsr-3727	505	14	desired	desire	VERB
fsr-3727	505	15	consumption	consumption	NOUN
fsr-3727	505	16	to	to	PART
fsr-3727	505	17	arrive	arrive	VERB
fsr-3727	505	18	at	at	ADP
fsr-3727	505	19	a	a	DET
fsr-3727	505	20	shortfall	shortfall	NOUN
fsr-3727	505	21	between	between	ADP
fsr-3727	505	22	retirement	retirement	NOUN
fsr-3727	505	23	income	income	NOUN
fsr-3727	505	24	and	and	CCONJ
fsr-3727	505	25	consumption	consumption	NOUN
fsr-3727	505	26	.	.	PUNCT
fsr-3727	506	1	this	this	DET
fsr-3727	506	2	shortfall	shortfall	NOUN
fsr-3727	506	3	is	be	AUX
fsr-3727	506	4	treated	treat	VERB
fsr-3727	506	5	as	as	SCONJ
fsr-3727	506	6	the	the	DET
fsr-3727	506	7	consumption	consumption	NOUN
fsr-3727	506	8	value	value	NOUN
fsr-3727	506	9	to	to	PART
fsr-3727	506	10	be	be	AUX
fsr-3727	506	11	financed	finance	VERB
fsr-3727	506	12	by	by	ADP
fsr-3727	506	13	the	the	DET
fsr-3727	506	14	non	non	ADJ
fsr-3727	506	15	-	-	ADJ
fsr-3727	506	16	pension	pension	ADJ
fsr-3727	506	17	investments	investment	NOUN
fsr-3727	506	18	.	.	PUNCT
fsr-3727	506	19	’	'	PUNCT
fsr-3727	507	1	the	the	DET
fsr-3727	507	2	procedure	procedure	NOUN
fsr-3727	507	3	described	describe	VERB
fsr-3727	507	4	in	in	ADP
fsr-3727	507	5	the	the	DET
fsr-3727	507	6	previous	previous	ADJ
fsr-3727	507	7	paragraph	paragraph	NOUN
fsr-3727	507	8	is	be	AUX
fsr-3727	507	9	technically	technically	ADV
fsr-3727	507	10	correct	correct	ADJ
fsr-3727	507	11	.	.	PUNCT
fsr-3727	508	1	our	our	PRON
fsr-3727	508	2	model	model	NOUN
fsr-3727	508	3	uses	use	VERB
fsr-3727	508	4	minimization	minimization	NOUN
fsr-3727	508	5	of	of	ADP
fsr-3727	508	6	shortfall	shortfall	NOUN
fsr-3727	508	7	instead	instead	ADV
fsr-3727	508	8	of	of	ADP
fsr-3727	508	9	a	a	DET
fsr-3727	508	10	particular	particular	ADJ
fsr-3727	508	11	form	form	NOUN
fsr-3727	508	12	of	of	ADP
fsr-3727	508	13	utility	utility	NOUN
fsr-3727	508	14	function	function	NOUN
fsr-3727	508	15	,	,	PUNCT
fsr-3727	508	16	as	as	SCONJ
fsr-3727	508	17	is	be	AUX
fsr-3727	508	18	commonly	commonly	ADV
fsr-3727	508	19	done	do	VERB
fsr-3727	508	20	elsewhere	elsewhere	ADV
fsr-3727	508	21	.	.	PUNCT
fsr-3727	509	1	this	this	PRON
fsr-3727	509	2	increases	increase	VERB
fsr-3727	509	3	the	the	DET
fsr-3727	509	4	generalizability	generalizability	NOUN
fsr-3727	509	5	of	of	ADP
fsr-3727	509	6	the	the	DET
fsr-3727	509	7	results	result	NOUN
fsr-3727	509	8	,	,	PUNCT
fsr-3727	509	9	since	since	SCONJ
fsr-3727	509	10	a	a	DET
fsr-3727	509	11	person	person	NOUN
fsr-3727	509	12	can	can	AUX
fsr-3727	509	13	choose	choose	VERB
fsr-3727	509	14	various	various	ADJ
fsr-3727	509	15	levels	level	NOUN
fsr-3727	509	16	of	of	ADP
fsr-3727	509	17	desired	desire	VERB
fsr-3727	509	18	consumption	consumption	NOUN
fsr-3727	509	19	retirement	retirement	NOUN
fsr-3727	509	20	and	and	CCONJ
fsr-3727	509	21	see	see	VERB
fsr-3727	509	22	what	what	PRON
fsr-3727	509	23	the	the	DET
fsr-3727	509	24	investment	investment	NOUN
fsr-3727	509	25	implications	implication	NOUN
fsr-3727	509	26	are	be	AUX
fsr-3727	509	27	.	.	PUNCT
fsr-3727	510	1	however	however	ADV
fsr-3727	510	2	,	,	PUNCT
fsr-3727	510	3	the	the	DET
fsr-3727	510	4	following	follow	VERB
fsr-3727	510	5	problem	problem	NOUN
fsr-3727	510	6	arises	arise	VERB
fsr-3727	510	7	.	.	PUNCT
fsr-3727	511	1	two	two	NUM
fsr-3727	511	2	persons	person	NOUN
fsr-3727	511	3	faced	face	VERB
fsr-3727	511	4	with	with	ADP
fsr-3727	511	5	the	the	DET
fsr-3727	511	6	same	same	ADJ
fsr-3727	511	7	shortfall	shortfall	NOUN
fsr-3727	511	8	may	may	AUX
fsr-3727	511	9	assess	assess	VERB
fsr-3727	511	10	it	it	PRON
fsr-3727	511	11	very	very	ADV
fsr-3727	511	12	differently	differently	ADV
fsr-3727	511	13	if	if	SCONJ
fsr-3727	511	14	one	one	NUM
fsr-3727	511	15	depends	depend	VERB
fsr-3727	511	16	on	on	ADP
fsr-3727	511	17	investment	investment	NOUN
fsr-3727	511	18	for	for	ADP
fsr-3727	511	19	all	all	DET
fsr-3727	511	20	their	their	PRON
fsr-3727	511	21	income	income	NOUN
fsr-3727	511	22	,	,	PUNCT
fsr-3727	511	23	and	and	CCONJ
fsr-3727	511	24	the	the	DET
fsr-3727	511	25	other	other	ADJ
fsr-3727	511	26	depends	depend	VERB
fsr-3727	511	27	on	on	ADP
fsr-3727	511	28	a	a	DET
fsr-3727	511	29	large	large	ADJ
fsr-3727	511	30	part	part	NOUN
fsr-3727	511	31	from	from	ADP
fsr-3727	511	32	,	,	PUNCT
fsr-3727	511	33	say	say	INTJ
fsr-3727	511	34	,	,	PUNCT
fsr-3727	511	35	an	an	DET
fsr-3727	511	36	employer	employer	NOUN
fsr-3727	511	37	pension	pension	NOUN
fsr-3727	511	38	plan	plan	NOUN
fsr-3727	511	39	.	.	PUNCT
fsr-3727	512	1	the	the	DET
fsr-3727	512	2	person	person	NOUN
fsr-3727	512	3	with	with	ADP
fsr-3727	512	4	the	the	DET
fsr-3727	512	5	separate	separate	ADJ
fsr-3727	512	6	employer	employer	NOUN
fsr-3727	512	7	plan	plan	NOUN
fsr-3727	512	8	is	be	AUX
fsr-3727	512	9	much	much	ADV
fsr-3727	512	10	more	more	ADV
fsr-3727	512	11	secure	secure	ADJ
fsr-3727	512	12	,	,	PUNCT
fsr-3727	512	13	and	and	CCONJ
fsr-3727	512	14	would	would	AUX
fsr-3727	512	15	presumably	presumably	ADV
fsr-3727	512	16	have	have	VERB
fsr-3727	512	17	a	a	DET
fsr-3727	512	18	different	different	ADJ
fsr-3727	512	19	utility	utility	NOUN
fsr-3727	512	20	for	for	ADP
fsr-3727	512	21	the	the	DET
fsr-3727	512	22	extra	extra	ADJ
fsr-3727	512	23	consumption	consumption	NOUN
fsr-3727	512	24	than	than	SCONJ
fsr-3727	512	25	would	would	AUX
fsr-3727	512	26	someone	someone	PRON
fsr-3727	512	27	for	for	ADP
fsr-3727	512	28	whom	whom	PRON
fsr-3727	512	29	missing	miss	VERB
fsr-3727	512	30	it	it	PRON
fsr-3727	512	31	is	be	AUX
fsr-3727	512	32	a	a	DET
fsr-3727	512	33	serious	serious	ADJ
fsr-3727	512	34	risk	risk	NOUN
fsr-3727	512	35	.	.	PUNCT
fsr-3727	513	1	we	we	PRON
fsr-3727	513	2	make	make	VERB
fsr-3727	513	3	that	that	DET
fsr-3727	513	4	tradeoff	tradeoff	NOUN
fsr-3727	513	5	in	in	ADP
fsr-3727	513	6	order	order	NOUN
fsr-3727	513	7	to	to	PART
fsr-3727	513	8	maintain	maintain	VERB
fsr-3727	513	9	a	a	DET
fsr-3727	513	10	paper	paper	NOUN
fsr-3727	513	11	that	that	PRON
fsr-3727	513	12	provides	provide	VERB
fsr-3727	513	13	practical	practical	ADJ
fsr-3727	513	14	solutions	solution	NOUN
fsr-3727	513	15	,	,	PUNCT
fsr-3727	513	16	since	since	SCONJ
fsr-3727	513	17	derivation	derivation	NOUN
fsr-3727	513	18	of	of	ADP
fsr-3727	513	19	specific	specific	ADJ
fsr-3727	513	20	utility	utility	NOUN
fsr-3727	513	21	functions	function	NOUN
fsr-3727	513	22	is	be	AUX
fsr-3727	513	23	quite	quite	ADV
fsr-3727	513	24	problematic	problematic	ADJ
fsr-3727	513	25	.	.	PUNCT
fsr-3727	514	1	the	the	DET
fsr-3727	514	2	procedure	procedure	NOUN
fsr-3727	514	3	applies	apply	VERB
fsr-3727	514	4	to	to	ADP
fsr-3727	514	5	a	a	DET
fsr-3727	514	6	wide	wide	ADJ
fsr-3727	514	7	variety	variety	NOUN
fsr-3727	514	8	of	of	ADP
fsr-3727	514	9	problems	problem	NOUN
fsr-3727	514	10	,	,	PUNCT
fsr-3727	514	11	but	but	CCONJ
fsr-3727	514	12	there	there	PRON
fsr-3727	514	13	are	be	VERB
fsr-3727	514	14	some	some	DET
fsr-3727	514	15	improvements	improvement	NOUN
fsr-3727	514	16	which	which	PRON
fsr-3727	514	17	would	would	AUX
fsr-3727	514	18	make	make	VERB
fsr-3727	514	19	it	it	PRON
fsr-3727	514	20	more	more	ADV
fsr-3727	514	21	valid	valid	ADJ
fsr-3727	514	22	.	.	PUNCT
fsr-3727	515	1	in	in	ADP
fsr-3727	515	2	principle	principle	NOUN
fsr-3727	515	3	,	,	PUNCT
fsr-3727	515	4	it	it	PRON
fsr-3727	515	5	should	should	AUX
fsr-3727	515	6	handle	handle	VERB
fsr-3727	515	7	the	the	DET
fsr-3727	515	8	problem	problem	NOUN
fsr-3727	515	9	of	of	ADP
fsr-3727	515	10	a	a	DET
fsr-3727	515	11	retirement	retirement	NOUN
fsr-3727	515	12	couple	couple	NOUN
fsr-3727	515	13	as	as	ADV
fsr-3727	515	14	well	well	ADV
fsr-3727	515	15	,	,	PUNCT
fsr-3727	515	16	but	but	CCONJ
fsr-3727	515	17	we	we	PRON
fsr-3727	515	18	have	have	AUX
fsr-3727	515	19	not	not	PART
fsr-3727	515	20	analyzed	analyze	VERB
fsr-3727	515	21	the	the	DET
fsr-3727	515	22	practical	practical	ADJ
fsr-3727	515	23	difficulties	difficulty	NOUN
fsr-3727	515	24	.	.	PUNCT
fsr-3727	516	1	all	all	DET
fsr-3727	516	2	the	the	DET
fsr-3727	516	3	changes	change	NOUN
fsr-3727	516	4	occur	occur	VERB
fsr-3727	516	5	in	in	ADP
fsr-3727	516	6	the	the	DET
fsr-3727	516	7	determination	determination	NOUN
fsr-3727	516	8	of	of	ADP
fsr-3727	516	9	d.	d.	PROPN
fsr-3727	516	10	since	since	SCONJ
fsr-3727	516	11	there	there	PRON
fsr-3727	516	12	is	be	VERB
fsr-3727	516	13	now	now	ADV
fsr-3727	516	14	a	a	DET
fsr-3727	516	15	joint	joint	ADJ
fsr-3727	516	16	probability	probability	NOUN
fsr-3727	516	17	of	of	ADP
fsr-3727	516	18	either	either	DET
fsr-3727	516	19	one	one	NUM
fsr-3727	516	20	or	or	CCONJ
fsr-3727	516	21	two	two	NUM
fsr-3727	516	22	persons	person	NOUN
fsr-3727	516	23	consuming	consume	VERB
fsr-3727	516	24	an	an	DET
fsr-3727	516	25	amount	amount	NOUN
fsr-3727	516	26	which	which	PRON
fsr-3727	516	27	is	be	AUX
fsr-3727	516	28	dependent	dependent	ADJ
fsr-3727	516	29	on	on	ADP
fsr-3727	516	30	who	who	PRON
fsr-3727	516	31	survives	survive	VERB
fsr-3727	516	32	how	how	SCONJ
fsr-3727	516	33	long	long	ADV
fsr-3727	516	34	,	,	PUNCT
fsr-3727	516	35	the	the	DET
fsr-3727	516	36	mechanics	mechanic	NOUN
fsr-3727	516	37	would	would	AUX
fsr-3727	516	38	be	be	AUX
fsr-3727	516	39	much	much	ADV
fsr-3727	516	40	more	more	ADV
fsr-3727	516	41	complex	complex	ADJ
fsr-3727	516	42	.	.	PUNCT
fsr-3727	517	1	once	once	ADV
fsr-3727	517	2	a	a	DET
fsr-3727	517	3	d	d	NOUN
fsr-3727	517	4	is	be	AUX
fsr-3727	517	5	estimated	estimate	VERB
fsr-3727	517	6	the	the	DET
fsr-3727	517	7	procedure	procedure	NOUN
fsr-3727	517	8	continues	continue	VERB
fsr-3727	517	9	as	as	ADP
fsr-3727	517	10	for	for	ADP
fsr-3727	517	11	a	a	DET
fsr-3727	517	12	single	single	ADJ
fsr-3727	517	13	person	person	NOUN
fsr-3727	517	14	.	.	PUNCT
fsr-3727	518	1	since	since	SCONJ
fsr-3727	518	2	the	the	DET
fsr-3727	518	3	probability	probability	NOUN
fsr-3727	518	4	is	be	AUX
fsr-3727	518	5	good	good	ADJ
fsr-3727	518	6	that	that	SCONJ
fsr-3727	518	7	one	one	NUM
fsr-3727	518	8	(	(	PUNCT
fsr-3727	518	9	unspecified	unspecified	ADJ
fsr-3727	518	10	)	)	PUNCT
fsr-3727	518	11	member	member	NOUN
fsr-3727	518	12	of	of	ADP
fsr-3727	518	13	the	the	DET
fsr-3727	518	14	couple	couple	NOUN
fsr-3727	518	15	will	will	AUX
fsr-3727	518	16	live	live	VERB
fsr-3727	518	17	to	to	ADP
fsr-3727	518	18	a	a	DET
fsr-3727	518	19	substantial	substantial	ADJ
fsr-3727	518	20	age	age	NOUN
fsr-3727	518	21	,	,	PUNCT
fsr-3727	518	22	the	the	DET
fsr-3727	518	23	requirement	requirement	NOUN
fsr-3727	518	24	for	for	ADP
fsr-3727	518	25	a	a	DET
fsr-3727	518	26	high	high	ADJ
fsr-3727	518	27	return	return	NOUN
fsr-3727	518	28	portfolio	portfolio	NOUN
fsr-3727	518	29	increases	increase	NOUN
fsr-3727	518	30	.	.	PUNCT
fsr-3727	519	1	the	the	DET
fsr-3727	519	2	derivation	derivation	NOUN
fsr-3727	519	3	assumes	assume	VERB
fsr-3727	519	4	no	no	DET
fsr-3727	519	5	serial	serial	ADJ
fsr-3727	519	6	correlation	correlation	NOUN
fsr-3727	519	7	of	of	ADP
fsr-3727	519	8	returns	return	NOUN
fsr-3727	519	9	.	.	PUNCT
fsr-3727	520	1	if	if	SCONJ
fsr-3727	520	2	year	year	NOUN
fsr-3727	520	3	-	-	PUNCT
fsr-3727	520	4	to	to	ADP
fsr-3727	520	5	-	-	PUNCT
fsr-3727	520	6	year	year	NOUN
fsr-3727	520	7	returns	return	NOUN
fsr-3727	520	8	are	be	AUX
fsr-3727	520	9	serially	serially	ADV
fsr-3727	520	10	correlated	correlate	VERB
fsr-3727	520	11	,	,	PUNCT
fsr-3727	520	12	the	the	DET
fsr-3727	520	13	minimization	minimization	NOUN
fsr-3727	520	14	of	of	ADP
fsr-3727	520	15	the	the	DET
fsr-3727	520	16	probability	probability	NOUN
fsr-3727	520	17	of	of	ADP
fsr-3727	520	18	not	not	PART
fsr-3727	520	19	earning	earn	VERB
fsr-3727	520	20	enough	enough	ADJ
fsr-3727	520	21	over	over	ADP
fsr-3727	520	22	the	the	DET
fsr-3727	520	23	entire	entire	ADJ
fsr-3727	520	24	lifetime	lifetime	NOUN
fsr-3727	520	25	is	be	AUX
fsr-3727	520	26	a	a	DET
fsr-3727	520	27	much	much	ADV
fsr-3727	520	28	more	more	ADV
fsr-3727	520	29	complicated	complicated	ADJ
fsr-3727	520	30	procedure	procedure	NOUN
fsr-3727	520	31	which	which	PRON
fsr-3727	520	32	may	may	AUX
fsr-3727	520	33	or	or	CCONJ
fsr-3727	520	34	may	may	AUX
fsr-3727	520	35	not	not	PART
fsr-3727	520	36	prove	prove	VERB
fsr-3727	520	37	tractable	tractable	ADJ
fsr-3727	520	38	mathematically	mathematically	ADV
fsr-3727	520	39	.	.	PUNCT
fsr-3727	521	1	serially	serially	ADV
fsr-3727	521	2	-	-	PUNCT
fsr-3727	521	3	uncorrelated	uncorrelate	VERB
fsr-3727	521	4	returns	return	NOUN
fsr-3727	521	5	allow	allow	VERB
fsr-3727	521	6	minimization	minimization	NOUN
fsr-3727	521	7	of	of	ADP
fsr-3727	521	8	the	the	DET
fsr-3727	521	9	product	product	NOUN
fsr-3727	521	10	of	of	ADP
fsr-3727	521	11	the	the	DET
fsr-3727	521	12	probabilities	probability	NOUN
fsr-3727	521	13	,	,	PUNCT
fsr-3727	521	14	and	and	CCONJ
fsr-3727	521	15	a	a	DET
fsr-3727	521	16	closed	closed	ADJ
fsr-3727	521	17	-	-	PUNCT
fsr-3727	521	18	form	form	NOUN
fsr-3727	521	19	solution	solution	NOUN
fsr-3727	521	20	.	.	PUNCT
fsr-3727	522	1	we	we	PRON
fsr-3727	522	2	do	do	AUX
fsr-3727	522	3	not	not	PART
fsr-3727	522	4	consider	consider	VERB
fsr-3727	522	5	the	the	DET
fsr-3727	522	6	dynamic	dynamic	ADJ
fsr-3727	522	7	behavior	behavior	NOUN
fsr-3727	522	8	of	of	ADP
fsr-3727	522	9	the	the	DET
fsr-3727	522	10	retiree	retiree	NOUN
fsr-3727	522	11	faced	face	VERB
fsr-3727	522	12	with	with	ADP
fsr-3727	522	13	this	this	DET
fsr-3727	522	14	problem	problem	NOUN
fsr-3727	522	15	each	each	DET
fsr-3727	522	16	year	year	NOUN
fsr-3727	522	17	.	.	PUNCT
fsr-3727	523	1	every	every	DET
fsr-3727	523	2	year	year	NOUN
fsr-3727	523	3	the	the	DET
fsr-3727	523	4	retiree	retiree	NOUN
fsr-3727	523	5	can	can	AUX
fsr-3727	523	6	rebalance	rebalance	VERB
fsr-3727	523	7	the	the	DET
fsr-3727	523	8	portfolio	portfolio	NOUN
fsr-3727	523	9	or	or	CCONJ
fsr-3727	523	10	change	change	VERB
fsr-3727	523	11	consumption	consumption	NOUN
fsr-3727	523	12	.	.	PUNCT
fsr-3727	524	1	they	they	PRON
fsr-3727	524	2	face	face	VERB
fsr-3727	524	3	a	a	DET
fsr-3727	524	4	new	new	ADJ
fsr-3727	524	5	table	table	NOUN
fsr-3727	524	6	1	1	NUM
fsr-3727	524	7	,	,	PUNCT
fsr-3727	524	8	and	and	CCONJ
fsr-3727	524	9	can	can	AUX
fsr-3727	524	10	choose	choose	VERB
fsr-3727	524	11	to	to	PART
fsr-3727	524	12	adjust	adjust	VERB
fsr-3727	524	13	accordingly	accordingly	ADV
fsr-3727	524	14	.	.	PUNCT
fsr-3727	525	1	for	for	ADP
fsr-3727	525	2	example	example	NOUN
fsr-3727	525	3	,	,	PUNCT
fsr-3727	525	4	a	a	DET
fsr-3727	525	5	bad	bad	ADJ
fsr-3727	525	6	year	year	NOUN
fsr-3727	525	7	may	may	AUX
fsr-3727	525	8	induce	induce	VERB
fsr-3727	525	9	lower	low	ADJ
fsr-3727	525	10	consumption	consumption	NOUN
fsr-3727	525	11	,	,	PUNCT
fsr-3727	525	12	and	and	CCONJ
fsr-3727	525	13	this	this	PRON
fsr-3727	525	14	affects	affect	VERB
fsr-3727	525	15	all	all	DET
fsr-3727	525	16	future	future	ADJ
fsr-3727	525	17	probabilities	probability	NOUN
fsr-3727	525	18	of	of	ADP
fsr-3727	525	19	failing	fail	VERB
fsr-3727	525	20	to	to	PART
fsr-3727	525	21	earn	earn	VERB
fsr-3727	525	22	enough	enough	ADJ
fsr-3727	525	23	.	.	PUNCT
fsr-3727	526	1	120	120	NUM
fsr-3727	526	2	financial	financial	ADJ
fsr-3727	526	3	services	service	NOUN
fsr-3727	526	4	review	review	NOUN
fsr-3727	526	5	,	,	PUNCT
fsr-3727	526	6	3(2	3(2	NUM
fsr-3727	526	7	)	)	PUNCT
fsr-3727	526	8	1994	1994	NUM
fsr-3727	526	9	although	although	SCONJ
fsr-3727	526	10	we	we	PRON
fsr-3727	526	11	do	do	AUX
fsr-3727	526	12	not	not	PART
fsr-3727	526	13	give	give	VERB
fsr-3727	526	14	any	any	DET
fsr-3727	526	15	details	detail	NOUN
fsr-3727	526	16	,	,	PUNCT
fsr-3727	526	17	in	in	ADP
fsr-3727	526	18	the	the	DET
fsr-3727	526	19	appendix	appendix	NOUN
fsr-3727	526	20	we	we	PRON
fsr-3727	526	21	do	do	AUX
fsr-3727	526	22	present	present	VERB
fsr-3727	526	23	the	the	DET
fsr-3727	526	24	analytical	analytical	ADJ
fsr-3727	526	25	solution	solution	NOUN
fsr-3727	526	26	to	to	ADP
fsr-3727	526	27	the	the	DET
fsr-3727	526	28	problem	problem	NOUN
fsr-3727	526	29	if	if	SCONJ
fsr-3727	526	30	the	the	DET
fsr-3727	526	31	returns	return	NOUN
fsr-3727	526	32	on	on	ADP
fsr-3727	526	33	the	the	DET
fsr-3727	526	34	two	two	NUM
fsr-3727	526	35	assets	asset	NOUN
fsr-3727	526	36	are	be	AUX
fsr-3727	526	37	correlated	correlate	VERB
fsr-3727	526	38	(	(	PUNCT
fsr-3727	526	39	see	see	VERB
fsr-3727	526	40	equation	equation	NOUN
fsr-3727	526	41	(	(	PUNCT
fsr-3727	526	42	25	25	NUM
fsr-3727	526	43	)	)	PUNCT
fsr-3727	526	44	)	)	PUNCT
fsr-3727	526	45	.	.	PUNCT
fsr-3727	527	1	we	we	PRON
fsr-3727	527	2	do	do	AUX
fsr-3727	527	3	not	not	PART
fsr-3727	527	4	provide	provide	VERB
fsr-3727	527	5	numerical	numerical	ADJ
fsr-3727	527	6	examples	example	NOUN
fsr-3727	527	7	.	.	PUNCT
fsr-3727	528	1	appendix	appendix	VERB
fsr-3727	528	2	1	1	NUM
fsr-3727	528	3	solving	solve	VERB
fsr-3727	528	4	for	for	ADP
fsr-3727	528	5	the	the	DET
fsr-3727	528	6	optimal	optimal	ADJ
fsr-3727	528	7	asset	asset	NOUN
fsr-3727	528	8	allocation	allocation	NOUN
fsr-3727	528	9	the	the	DET
fsr-3727	528	10	solution	solution	NOUN
fsr-3727	528	11	to	to	ADP
fsr-3727	528	12	equation	equation	NOUN
fsr-3727	528	13	(	(	PUNCT
fsr-3727	528	14	5	5	NUM
fsr-3727	528	15	)	)	PUNCT
fsr-3727	528	16	is	be	AUX
fsr-3727	528	17	the	the	DET
fsr-3727	528	18	optimal	optimal	ADJ
fsr-3727	528	19	proportion	proportion	NOUN
fsr-3727	528	20	that	that	PRON
fsr-3727	528	21	is	be	AUX
fsr-3727	528	22	to	to	PART
fsr-3727	528	23	be	be	AUX
fsr-3727	528	24	invested	invest	VERB
fsr-3727	528	25	in	in	ADP
fsr-3727	528	26	treasury	treasury	NOUN
fsr-3727	528	27	bills	bill	NOUN
fsr-3727	528	28	,	,	PUNCT
fsr-3727	528	29	and	and	CCONJ
fsr-3727	528	30	should	should	AUX
fsr-3727	528	31	be	be	AUX
fsr-3727	528	32	expressed	express	VERB
fsr-3727	528	33	as	as	ADP
fsr-3727	528	34	the	the	DET
fsr-3727	528	35	following	follow	VERB
fsr-3727	528	36	function	function	NOUN
fsr-3727	528	37	:	:	PUNCT
fsr-3727	528	38	(	(	PUNCT
fsr-3727	528	39	7	7	X
fsr-3727	528	40	)	)	PUNCT
fsr-3727	528	41	to	to	PART
fsr-3727	528	42	simplify	simplify	VERB
fsr-3727	528	43	the	the	DET
fsr-3727	528	44	notation	notation	NOUN
fsr-3727	528	45	:	:	PUNCT
fsr-3727	528	46	l	l	NOUN
fsr-3727	528	47	denote	denote	VERB
fsr-3727	528	48	the	the	DET
fsr-3727	528	49	probability	probability	NOUN
fsr-3727	528	50	density	density	NOUN
fsr-3727	528	51	function	function	NOUN
fsr-3727	528	52	(	(	PUNCT
fsr-3727	528	53	p.d.f	p.d.f	ADJ
fsr-3727	528	54	)	)	PUNCT
fsr-3727	528	55	of	of	ADP
fsr-3727	528	56	the	the	DET
fsr-3727	528	57	standard	standard	ADJ
fsr-3727	528	58	normal	normal	ADJ
fsr-3727	528	59	distribution	distribution	NOUN
fsr-3727	528	60	,	,	PUNCT
fsr-3727	528	61	(	(	PUNCT
fsr-3727	528	62	with	with	ADP
fsr-3727	528	63	mean	mean	NOUN
fsr-3727	528	64	zero	zero	NUM
fsr-3727	528	65	and	and	CCONJ
fsr-3727	528	66	variance	variance	NOUN
fsr-3727	528	67	one	one	NUM
fsr-3727	528	68	.	.	PUNCT
fsr-3727	528	69	)	)	PUNCT
fsr-3727	529	1	by	by	ADP
fsr-3727	529	2	:	:	PUNCT
fsr-3727	529	3	l	l	NOUN
fsr-3727	529	4	denote	denote	VERB
fsr-3727	529	5	the	the	DET
fsr-3727	529	6	cumulative	cumulative	ADJ
fsr-3727	529	7	density	density	NOUN
fsr-3727	529	8	function	function	NOUN
fsr-3727	529	9	(	(	PUNCT
fsr-3727	529	10	c.d.f	c.d.f	NOUN
fsr-3727	529	11	)	)	PUNCT
fsr-3727	529	12	of	of	ADP
fsr-3727	529	13	the	the	DET
fsr-3727	529	14	standard	standard	ADJ
fsr-3727	529	15	normal	normal	ADJ
fsr-3727	529	16	distribution	distribution	NOUN
fsr-3727	529	17	’	'	PUNCT
fsr-3727	529	18	by	by	ADP
fsr-3727	529	19	:	:	PUNCT
fsr-3727	529	20	u	u	PROPN
fsr-3727	529	21	o(u	o(u	PROPN
fsr-3727	529	22	)	)	PUNCT
fsr-3727	529	23	=	=	SYM
fsr-3727	529	24	j	j	PROPN
fsr-3727	529	25	cp(y	cp(y	X
fsr-3727	529	26	)	)	PUNCT
fsr-3727	529	27	dy	dy	NOUN
fsr-3727	529	28	(	(	PUNCT
fsr-3727	529	29	9	9	NUM
fsr-3727	529	30	)	)	PUNCT
fsr-3727	529	31	let	let	VERB
fsr-3727	529	32	us	we	PRON
fsr-3727	529	33	make	make	VERB
fsr-3727	529	34	the	the	DET
fsr-3727	529	35	following	follow	VERB
fsr-3727	529	36	substitution	substitution	NOUN
fsr-3727	529	37	in	in	ADP
fsr-3727	529	38	the	the	DET
fsr-3727	529	39	integral	integral	NOUN
fsr-3727	529	40	of	of	ADP
fsr-3727	529	41	equation	equation	NOUN
fsr-3727	529	42	(	(	PUNCT
fsr-3727	529	43	5	5	NUM
fsr-3727	529	44	)	)	PUNCT
fsr-3727	529	45	so	so	SCONJ
fsr-3727	529	46	as	as	SCONJ
fsr-3727	529	47	to	to	PART
fsr-3727	529	48	simplify	simplify	VERB
fsr-3727	529	49	the	the	DET
fsr-3727	529	50	integrand	integrand	NOUN
fsr-3727	529	51	.	.	PUNCT
fsr-3727	530	1	x	x	PUNCT
fsr-3727	530	2	l&(o	l&(o	NOUN
fsr-3727	530	3	)	)	PUNCT
fsr-3727	530	4	(	(	PUNCT
fsr-3727	530	5	10	10	NUM
fsr-3727	530	6	)	)	PUNCT
fsr-3727	530	7	y=	y=	NOUN
fsr-3727	530	8	o,(a	o,(a	VERB
fsr-3727	530	9	)	)	PUNCT
fsr-3727	530	10	the	the	DET
fsr-3727	530	11	above	above	ADJ
fsr-3727	530	12	implies	imply	VERB
fsr-3727	530	13	that	that	SCONJ
fsr-3727	530	14	:	:	PUNCT
fsr-3727	530	15	dy=---ldx	dy=---ldx	PROPN
fsr-3727	530	16	q(a	q(a	NOUN
fsr-3727	530	17	)	)	PUNCT
fsr-3727	530	18	(	(	PUNCT
fsr-3727	530	19	11	11	NUM
fsr-3727	530	20	)	)	PUNCT
fsr-3727	530	21	thus	thus	ADV
fsr-3727	530	22	we	we	PRON
fsr-3727	530	23	can	can	AUX
fsr-3727	530	24	substitute	substitute	VERB
fsr-3727	530	25	and	and	CCONJ
fsr-3727	530	26	transform	transform	VERB
fsr-3727	530	27	the	the	DET
fsr-3727	530	28	stochastic	stochastic	ADJ
fsr-3727	530	29	optimization	optimization	NOUN
fsr-3727	530	30	problem	problem	NOUN
fsr-3727	530	31	in	in	ADP
fsr-3727	530	32	equation	equation	NOUN
fsr-3727	530	33	(	(	PUNCT
fsr-3727	530	34	5	5	NUM
fsr-3727	530	35	)	)	PUNCT
fsr-3727	530	36	to	to	ADP
fsr-3727	530	37	the	the	DET
fsr-3727	530	38	elementary	elementary	ADJ
fsr-3727	530	39	representation	representation	NOUN
fsr-3727	530	40	:	:	PUNCT
fsr-3727	530	41	d	d	X
fsr-3727	530	42	-	-	PUNCT
fsr-3727	530	43	cl,(a	cl,(a	ADJ
fsr-3727	530	44	)	)	PUNCT
fsr-3727	530	45	o,(a	o,(a	PROPN
fsr-3727	530	46	)	)	PUNCT
fsr-3727	530	47	(	(	PUNCT
fsr-3727	530	48	12	12	X
fsr-3727	530	49	)	)	PUNCT
fsr-3727	530	50	s.t	s.t	PROPN
fsr-3727	530	51	.	.	PROPN
fsr-3727	530	52	0	0	PUNCT
fsr-3727	531	1	i	i	PRON
fsr-3727	531	2	a	a	DET
fsr-3727	531	3	5	5	NUM
fsr-3727	531	4	1	1	NUM
fsr-3727	531	5	asset	asset	NOUN
fsr-3727	531	6	allocation	allocation	NOUN
fsr-3727	531	7	,	,	PUNCT
fsr-3727	531	8	lge	lge	ADJ
fsr-3727	531	9	expectancy	expectancy	NOUN
fsr-3727	531	10	and	and	CCONJ
fsr-3727	531	11	shortfall	shortfall	NOUN
fsr-3727	531	12	121	121	NUM
fsr-3727	531	13	which	which	PRON
fsr-3727	531	14	can	can	AUX
fsr-3727	531	15	be	be	AUX
fsr-3727	531	16	expressed	express	VERB
fsr-3727	531	17	,	,	PUNCT
fsr-3727	531	18	using	use	VERB
fsr-3727	531	19	equation	equation	NOUN
fsr-3727	531	20	(	(	PUNCT
fsr-3727	531	21	8)	8)	NUM
fsr-3727	531	22	,	,	PUNCT
fsr-3727	531	23	as	as	ADP
fsr-3727	531	24	:	:	PUNCT
fsr-3727	531	25	min	min	PROPN
fsr-3727	531	26	b(a	b(a	PROPN
fsr-3727	531	27	)	)	PUNCT
fsr-3727	532	1	=	=	SYM
fsr-3727	532	2	j	j	PROPN
fsr-3727	532	3	q(y	q(y	PROPN
fsr-3727	532	4	)	)	PUNCT
fsr-3727	532	5	dy	dy	NOUN
fsr-3727	532	6	(	(	PUNCT
fsr-3727	532	7	13	13	NUM
fsr-3727	532	8	)	)	PUNCT
fsr-3727	532	9	s.t	s.t	PROPN
fsr-3727	532	10	.	.	PROPN
fsr-3727	532	11	0	0	PUNCT
fsr-3727	533	1	i	i	PRON
fsr-3727	533	2	a	a	PRON
fsr-3727	533	3	s	s	NOUN
fsr-3727	533	4	1	1	NUM
fsr-3727	533	5	however	however	ADV
fsr-3727	533	6	,	,	PUNCT
fsr-3727	533	7	using	use	VERB
fsr-3727	533	8	the	the	DET
fsr-3727	533	9	notation	notation	NOUN
fsr-3727	533	10	introduced	introduce	VERB
fsr-3727	533	11	in	in	ADP
fsr-3727	533	12	equation	equation	NOUN
fsr-3727	533	13	(	(	PUNCT
fsr-3727	533	14	9	9	NUM
fsr-3727	533	15	)	)	PUNCT
fsr-3727	533	16	,	,	PUNCT
fsr-3727	533	17	we	we	PRON
fsr-3727	533	18	can	can	AUX
fsr-3727	533	19	rewrite	rewrite	VERB
fsr-3727	533	20	the	the	DET
fsr-3727	533	21	above	above	ADV
fsr-3727	533	22	as	as	ADP
fsr-3727	533	23	:	:	PUNCT
fsr-3727	533	24	min	min	PROPN
fsr-3727	533	25	b(a)sq	b(a)sq	NOUN
fsr-3727	533	26	xt	xt	PROPN
fsr-3727	533	27	.	.	PROPN
fsr-3727	533	28	0	0	PUNCT
fsr-3727	534	1	i	i	PRON
fsr-3727	534	2	a	a	PRON
fsr-3727	534	3	i	i	NOUN
fsr-3727	534	4	1	1	NUM
fsr-3727	534	5	(	(	PUNCT
fsr-3727	534	6	14	14	NUM
fsr-3727	534	7	)	)	PUNCT
fsr-3727	534	8	in	in	ADP
fsr-3727	534	9	order	order	NOUN
fsr-3727	534	10	to	to	PART
fsr-3727	534	11	find	find	VERB
fsr-3727	534	12	an	an	DET
fsr-3727	534	13	a	a	NOUN
fsr-3727	534	14	*	*	NOUN
fsr-3727	534	15	that	that	PRON
fsr-3727	534	16	will	will	AUX
fsr-3727	534	17	minimize	minimize	VERB
fsr-3727	534	18	the	the	DET
fsr-3727	534	19	above	above	ADJ
fsr-3727	534	20	,	,	PUNCT
fsr-3727	534	21	we	we	PRON
fsr-3727	534	22	must	must	AUX
fsr-3727	534	23	take	take	VERB
fsr-3727	534	24	the	the	DET
fsr-3727	534	25	derivative	derivative	NOUN
fsr-3727	534	26	of	of	ADP
fsr-3727	534	27	the	the	DET
fsr-3727	534	28	objective	objective	ADJ
fsr-3727	534	29	function	function	NOUN
fsr-3727	534	30	,	,	PUNCT
fsr-3727	534	31	b(a	b(a	PROPN
fsr-3727	534	32	)	)	PUNCT
fsr-3727	534	33	,	,	PUNCT
fsr-3727	534	34	with	with	ADP
fsr-3727	534	35	respect	respect	NOUN
fsr-3727	534	36	to	to	ADP
fsr-3727	534	37	a	a	PRON
fsr-3727	534	38	and	and	CCONJ
fsr-3727	534	39	set	set	VERB
fsr-3727	534	40	it	it	PRON
fsr-3727	534	41	equal	equal	ADJ
fsr-3727	534	42	to	to	ADP
fsr-3727	534	43	zero	zero	NUM
fsr-3727	534	44	.	.	PUNCT
fsr-3727	535	1	that	that	PRON
fsr-3727	535	2	is	be	AUX
fsr-3727	535	3	,	,	PUNCT
fsr-3727	535	4	the	the	DET
fsr-3727	535	5	first	first	ADJ
fsr-3727	535	6	order	order	NOUN
fsr-3727	535	7	condition	condition	NOUN
fsr-3727	535	8	(	(	PUNCT
fsr-3727	535	9	f.o.c	f.o.c	NOUN
fsr-3727	535	10	.	.	PUNCT
fsr-3727	535	11	)	)	PUNCT
fsr-3727	535	12	is	be	AUX
fsr-3727	535	13	:	:	PUNCT
fsr-3727	535	14	?	?	PUNCT
fsr-3727	535	15	!	!	PUNCT
fsr-3727	535	16	!	!	PUNCT
fsr-3727	536	1	m=	m=	VERB
fsr-3727	536	2	,	,	PUNCT
fsr-3727	536	3	(	(	PUNCT
fsr-3727	536	4	1	1	NUM
fsr-3727	536	5	%	%	NOUN
fsr-3727	536	6	aa	aa	NOUN
fsr-3727	536	7	or	or	CCONJ
fsr-3727	536	8	we	we	PRON
fsr-3727	536	9	can	can	AUX
fsr-3727	536	10	write	write	VERB
fsr-3727	536	11	explicitly	explicitly	ADV
fsr-3727	536	12	:	:	PUNCT
fsr-3727	536	13	(	(	PUNCT
fsr-3727	536	14	16	16	X
fsr-3727	536	15	)	)	PUNCT
fsr-3727	536	16	taking	take	VERB
fsr-3727	536	17	derivatives	derivative	NOUN
fsr-3727	536	18	with	with	ADP
fsr-3727	536	19	respect	respect	NOUN
fsr-3727	536	20	to	to	ADP
fsr-3727	536	21	a	a	PRON
fsr-3727	536	22	by	by	ADP
fsr-3727	536	23	using	use	VERB
fsr-3727	536	24	the	the	DET
fsr-3727	536	25	chain	chain	NOUN
fsr-3727	536	26	rule	rule	NOUN
fsr-3727	536	27	,	,	PUNCT
fsr-3727	536	28	we	we	PRON
fsr-3727	536	29	derive	derive	VERB
fsr-3727	536	30	that	that	SCONJ
fsr-3727	536	31	the	the	DET
fsr-3727	536	32	first	first	ADJ
fsr-3727	536	33	order	order	NOUN
fsr-3727	536	34	condition	condition	NOUN
fsr-3727	536	35	for	for	ADP
fsr-3727	536	36	optimality	optimality	NOUN
fsr-3727	536	37	can	can	AUX
fsr-3727	536	38	be	be	AUX
fsr-3727	536	39	expressed	express	VERB
fsr-3727	536	40	as	as	ADP
fsr-3727	536	41	:	:	PUNCT
fsr-3727	536	42	-i.$	-i.$	PROPN
fsr-3727	536	43	(	(	PUNCT
fsr-3727	536	44	a	a	NOUN
fsr-3727	536	45	)	)	PUNCT
fsr-3727	536	46	.	.	PUNCT
fsr-3727	537	1	q,(a	q,(a	PART
fsr-3727	537	2	)	)	PUNCT
fsr-3727	537	3	0	0	NUM
fsr-3727	537	4	,	,	PUNCT
fsr-3727	537	5	’	'	PUNCT
fsr-3727	537	6	(	(	PUNCT
fsr-3727	537	7	a	a	NOUN
fsr-3727	537	8	)	)	PUNCT
fsr-3727	537	9	.	.	PUNCT
fsr-3727	538	1	(	(	PUNCT
fsr-3727	538	2	d	d	X
fsr-3727	538	3	(	(	PUNCT
fsr-3727	538	4	17	17	NUM
fsr-3727	538	5	)	)	PUNCT
fsr-3727	538	6	&	&	CCONJ
fsr-3727	538	7	a	a	X
fsr-3727	538	8	)	)	PUNCT
fsr-3727	538	9	the	the	DET
fsr-3727	538	10	objective	objective	NOUN
fsr-3727	538	11	now	now	ADV
fsr-3727	538	12	is	be	AUX
fsr-3727	538	13	to	to	PART
fsr-3727	538	14	find	find	VERB
fsr-3727	538	15	an	an	DET
fsr-3727	538	16	a	a	NOUN
fsr-3727	538	17	*	*	NOUN
fsr-3727	538	18	that	that	PRON
fsr-3727	538	19	will	will	AUX
fsr-3727	538	20	solve	solve	VERB
fsr-3727	538	21	the	the	DET
fsr-3727	538	22	above	above	ADJ
fsr-3727	538	23	equation	equation	NOUN
fsr-3727	538	24	.	.	PUNCT
fsr-3727	539	1	the	the	DET
fsr-3727	539	2	next	next	ADJ
fsr-3727	539	3	step	step	NOUN
fsr-3727	539	4	is	be	AUX
fsr-3727	539	5	to	to	PART
fsr-3727	539	6	realize	realize	VERB
fsr-3727	539	7	that	that	SCONJ
fsr-3727	539	8	the	the	DET
fsr-3727	539	9	first	first	ADJ
fsr-3727	539	10	term	term	NOUN
fsr-3727	539	11	in	in	ADP
fsr-3727	539	12	equation	equation	NOUN
fsr-3727	539	13	(	(	PUNCT
fsr-3727	539	14	17	17	NUM
fsr-3727	539	15	)	)	PUNCT
fsr-3727	539	16	,	,	PUNCT
fsr-3727	539	17	namely	namely	ADV
fsr-3727	539	18	a	a	PRON
fsr-3727	539	19	’	'	PUNCT
fsr-3727	539	20	,	,	PUNCT
fsr-3727	539	21	is	be	AUX
fsr-3727	539	22	the	the	DET
fsr-3727	539	23	derivative	derivative	NOUN
fsr-3727	539	24	of	of	ADP
fsr-3727	539	25	the	the	DET
fsr-3727	539	26	cumulative	cumulative	ADJ
fsr-3727	539	27	distribution	distribution	NOUN
fsr-3727	539	28	function	function	NOUN
fsr-3727	539	29	.	.	PUNCT
fsr-3727	540	1	thus	thus	ADV
fsr-3727	540	2	,	,	PUNCT
fsr-3727	540	3	using	use	VERB
fsr-3727	540	4	the	the	DET
fsr-3727	540	5	fundamental	fundamental	ADJ
fsr-3727	540	6	theorem	theorem	NOUN
fsr-3727	540	7	of	of	ADP
fsr-3727	540	8	calculus	calculus	NOUN
fsr-3727	540	9	and	and	CCONJ
fsr-3727	540	10	the	the	DET
fsr-3727	540	11	definition	definition	NOUN
fsr-3727	540	12	in	in	ADP
fsr-3727	540	13	equation	equation	NOUN
fsr-3727	540	14	(	(	PUNCT
fsr-3727	540	15	9	9	NUM
fsr-3727	540	16	)	)	PUNCT
fsr-3727	540	17	,	,	PUNCT
fsr-3727	540	18	we	we	PRON
fsr-3727	540	19	can	can	AUX
fsr-3727	540	20	rewrite	rewrite	VERB
fsr-3727	540	21	the	the	DET
fsr-3727	540	22	first	first	ADJ
fsr-3727	540	23	order	order	NOUN
fsr-3727	540	24	condition	condition	NOUN
fsr-3727	540	25	as	as	ADP
fsr-3727	540	26	:	:	PUNCT
fsr-3727	540	27	(	(	PUNCT
fsr-3727	540	28	18	18	NUM
fsr-3727	540	29	)	)	PUNCT
fsr-3727	540	30	let	let	VERB
fsr-3727	540	31	us	we	PRON
fsr-3727	540	32	analyze	analyze	VERB
fsr-3727	540	33	equation	equation	NOUN
fsr-3727	540	34	(	(	PUNCT
fsr-3727	540	35	18	18	NUM
fsr-3727	540	36	)	)	PUNCT
fsr-3727	540	37	.	.	PUNCT
fsr-3727	541	1	it	it	PRON
fsr-3727	541	2	should	should	AUX
fsr-3727	541	3	be	be	AUX
fsr-3727	541	4	obvious	obvious	ADJ
fsr-3727	541	5	that	that	SCONJ
fsr-3727	541	6	cp	cp	PROPN
fsr-3727	541	7	,	,	PUNCT
fsr-3727	541	8	which	which	PRON
fsr-3727	541	9	is	be	AUX
fsr-3727	541	10	a	a	DET
fsr-3727	541	11	probability	probability	NOUN
fsr-3727	541	12	density	density	NOUN
fsr-3727	541	13	function	function	NOUN
fsr-3727	541	14	,	,	PUNCT
fsr-3727	541	15	will	will	AUX
fsr-3727	541	16	never	never	ADV
fsr-3727	541	17	take	take	VERB
fsr-3727	541	18	on	on	ADP
fsr-3727	541	19	the	the	DET
fsr-3727	541	20	value	value	NOUN
fsr-3727	541	21	zero	zero	NUM
fsr-3727	541	22	.	.	PUNCT
fsr-3727	542	1	thus	thus	ADV
fsr-3727	542	2	,	,	PUNCT
fsr-3727	542	3	the	the	DET
fsr-3727	542	4	only	only	ADJ
fsr-3727	542	5	way	way	NOUN
fsr-3727	542	6	that	that	PRON
fsr-3727	542	7	the	the	DET
fsr-3727	542	8	left	left	ADJ
fsr-3727	542	9	hand	hand	NOUN
fsr-3727	542	10	side	side	NOUN
fsr-3727	542	11	of	of	ADP
fsr-3727	542	12	equation	equation	NOUN
fsr-3727	542	13	(	(	PUNCT
fsr-3727	542	14	18	18	NUM
fsr-3727	542	15	)	)	PUNCT
fsr-3727	542	16	can	can	AUX
fsr-3727	542	17	evaluate	evaluate	VERB
fsr-3727	542	18	to	to	ADP
fsr-3727	542	19	zero	zero	NUM
fsr-3727	542	20	,	,	PUNCT
fsr-3727	542	21	is	be	AUX
fsr-3727	542	22	by	by	ADP
fsr-3727	542	23	the	the	DET
fsr-3727	542	24	following	follow	VERB
fsr-3727	542	25	being	be	AUX
fsr-3727	542	26	satisfied	satisfied	ADJ
fsr-3727	542	27	:	:	PUNCT
fsr-3727	542	28	p	p	X
fsr-3727	542	29	;	;	PUNCT
fsr-3727	542	30	(	(	PUNCT
fsr-3727	542	31	a	a	NOUN
fsr-3727	542	32	)	)	PUNCT
fsr-3727	542	33	.	.	PUNCT
fsr-3727	543	1	q(a	q(a	NOUN
fsr-3727	543	2	)	)	PUNCT
fsr-3727	543	3	0	0	NUM
fsr-3727	543	4	;	;	PUNCT
fsr-3727	543	5	(	(	PUNCT
fsr-3727	543	6	a	a	NOUN
fsr-3727	543	7	)	)	PUNCT
fsr-3727	543	8	.	.	PUNCT
fsr-3727	544	1	(	(	PUNCT
fsr-3727	544	2	d	d	NOUN
fsr-3727	544	3	y(a	y(a	PROPN
fsr-3727	544	4	)	)	PUNCT
fsr-3727	544	5	)	)	PUNCT
fsr-3727	545	1	=	=	SYM
fsr-3727	545	2	0	0	PUNCT
fsr-3727	545	3	(	(	PUNCT
fsr-3727	545	4	19	19	NUM
fsr-3727	545	5	)	)	PUNCT
fsr-3727	545	6	in	in	ADP
fsr-3727	545	7	order	order	NOUN
fsr-3727	545	8	to	to	PART
fsr-3727	545	9	solve	solve	VERB
fsr-3727	545	10	the	the	DET
fsr-3727	545	11	above	above	ADJ
fsr-3727	545	12	equation	equation	NOUN
fsr-3727	545	13	for	for	ADP
fsr-3727	545	14	a	a	PRON
fsr-3727	545	15	(	(	PUNCT
fsr-3727	545	16	or	or	CCONJ
fsr-3727	545	17	isolate	isolate	VERB
fsr-3727	545	18	a	a	PRON
fsr-3727	545	19	)	)	PUNCT
fsr-3727	545	20	,	,	PUNCT
fsr-3727	545	21	we	we	PRON
fsr-3727	545	22	must	must	AUX
fsr-3727	545	23	compute	compute	VERB
fsr-3727	545	24	&	&	CCONJ
fsr-3727	545	25	(	(	PUNCT
fsr-3727	545	26	a	a	NOUN
fsr-3727	545	27	)	)	PUNCT
fsr-3727	545	28	and	and	CCONJ
fsr-3727	545	29	$	$	SYM
fsr-3727	545	30	(	(	PUNCT
fsr-3727	545	31	a	a	NOUN
fsr-3727	545	32	)	)	PUNCT
fsr-3727	545	33	by	by	ADP
fsr-3727	545	34	taking	take	VERB
fsr-3727	545	35	the	the	DET
fsr-3727	545	36	derivatives	derivative	NOUN
fsr-3727	545	37	of	of	ADP
fsr-3727	545	38	equations	equation	NOUN
fsr-3727	545	39	(	(	PUNCT
fsr-3727	545	40	3	3	NUM
fsr-3727	545	41	)	)	PUNCT
fsr-3727	545	42	and	and	CCONJ
fsr-3727	545	43	(	(	PUNCT
fsr-3727	545	44	4	4	X
fsr-3727	545	45	)	)	PUNCT
fsr-3727	545	46	to	to	PART
fsr-3727	545	47	obtain	obtain	VERB
fsr-3727	545	48	:	:	PUNCT
fsr-3727	545	49	122	122	NUM
fsr-3727	545	50	financial	financial	ADJ
fsr-3727	545	51	services	service	NOUN
fsr-3727	545	52	review	review	NOUN
fsr-3727	545	53	,	,	PUNCT
fsr-3727	545	54	3(2	3(2	NUM
fsr-3727	545	55	)	)	PUNCT
fsr-3727	545	56	1994	1994	NUM
fsr-3727	545	57	(	(	PUNCT
fsr-3727	545	58	21	21	NUM
fsr-3727	545	59	)	)	PUNCT
fsr-3727	545	60	substituting	substitute	VERB
fsr-3727	545	61	equations	equation	NOUN
fsr-3727	545	62	(	(	PUNCT
fsr-3727	545	63	3	3	NUM
fsr-3727	545	64	)	)	PUNCT
fsr-3727	545	65	and	and	CCONJ
fsr-3727	545	66	(	(	PUNCT
fsr-3727	545	67	4	4	NUM
fsr-3727	545	68	)	)	PUNCT
fsr-3727	545	69	together	together	ADV
fsr-3727	545	70	with	with	ADP
fsr-3727	545	71	equations	equation	NOUN
fsr-3727	545	72	(	(	PUNCT
fsr-3727	545	73	20	20	NUM
fsr-3727	545	74	)	)	PUNCT
fsr-3727	545	75	and	and	CCONJ
fsr-3727	545	76	(	(	PUNCT
fsr-3727	545	77	21	21	NUM
fsr-3727	545	78	)	)	PUNCT
fsr-3727	545	79	into	into	ADP
fsr-3727	545	80	the	the	DET
fsr-3727	545	81	first	first	ADJ
fsr-3727	545	82	order	order	NOUN
fsr-3727	545	83	condition	condition	NOUN
fsr-3727	545	84	of	of	ADP
fsr-3727	545	85	equation	equation	NOUN
fsr-3727	545	86	(	(	PUNCT
fsr-3727	545	87	19	19	NUM
fsr-3727	545	88	)	)	PUNCT
fsr-3727	545	89	,	,	PUNCT
fsr-3727	545	90	we	we	PRON
fsr-3727	545	91	can	can	AUX
fsr-3727	545	92	rewrite	rewrite	VERB
fsr-3727	545	93	equation	equation	NOUN
fsr-3727	545	94	(	(	PUNCT
fsr-3727	545	95	19	19	NUM
fsr-3727	545	96	)	)	PUNCT
fsr-3727	545	97	as	as	ADP
fsr-3727	545	98	:	:	PUNCT
fsr-3727	545	99	x(~-ptr.a+lq.u	x(~-ptr.a+lq.u	NUM
fsr-3727	545	100	-	-	PUNCT
fsr-3727	545	101	an	an	DET
fsr-3727	545	102	(	(	PUNCT
fsr-3727	545	103	22	22	NUM
fsr-3727	545	104	)	)	PUNCT
fsr-3727	545	105	solving	solve	VERB
fsr-3727	545	106	for	for	ADP
fsr-3727	545	107	a	a	PRON
fsr-3727	545	108	(	(	PUNCT
fsr-3727	545	109	with	with	ADP
fsr-3727	545	110	some	some	DET
fsr-3727	545	111	tedious	tedious	ADJ
fsr-3727	545	112	algebra	algebra	NOUN
fsr-3727	545	113	and	and	CCONJ
fsr-3727	545	114	the	the	DET
fsr-3727	545	115	help	help	NOUN
fsr-3727	545	116	of	of	ADP
fsr-3727	545	117	the	the	DET
fsr-3727	545	118	symbolic	symbolic	ADJ
fsr-3727	545	119	computational	computational	ADJ
fsr-3727	545	120	language	language	NOUN
fsr-3727	545	121	maple	maple	NOUN
fsr-3727	545	122	v	v	NOUN
fsr-3727	545	123	)	)	PUNCT
fsr-3727	545	124	,	,	PUNCT
fsr-3727	545	125	we	we	PRON
fsr-3727	545	126	find	find	VERB
fsr-3727	545	127	that	that	SCONJ
fsr-3727	545	128	there	there	PRON
fsr-3727	545	129	is	be	VERB
fsr-3727	545	130	only	only	ADV
fsr-3727	545	131	one	one	NUM
fsr-3727	545	132	value	value	NOUN
fsr-3727	545	133	of	of	ADP
fsr-3727	545	134	c1	c1	NOUN
fsr-3727	545	135	that	that	PRON
fsr-3727	545	136	will	will	AUX
fsr-3727	545	137	satisfy	satisfy	VERB
fsr-3727	545	138	equation	equation	NOUN
fsr-3727	545	139	(	(	PUNCT
fsr-3727	545	140	22	22	NUM
fsr-3727	545	141	)	)	PUNCT
fsr-3727	545	142	and	and	CCONJ
fsr-3727	545	143	it	it	PRON
fsr-3727	545	144	is	be	AUX
fsr-3727	545	145	equation	equation	NOUN
fsr-3727	545	146	(	(	PUNCT
fsr-3727	545	147	6	6	NUM
fsr-3727	545	148	):	):	PUNCT
fsr-3727	545	149	checking	check	VERB
fsr-3727	545	150	second	second	ADJ
fsr-3727	545	151	order	order	NOUN
fsr-3727	545	152	conditions	condition	NOUN
fsr-3727	545	153	(	(	PUNCT
fsr-3727	545	154	s.o.c	s.o.c	NOUN
fsr-3727	545	155	.	.	PUNCT
fsr-3727	545	156	)	)	PUNCT
fsr-3727	546	1	one	one	PRON
fsr-3727	546	2	can	can	AUX
fsr-3727	546	3	verify	verify	VERB
fsr-3727	546	4	that	that	SCONJ
fsr-3727	546	5	the	the	DET
fsr-3727	546	6	second	second	ADJ
fsr-3727	546	7	derivative	derivative	NOUN
fsr-3727	546	8	of	of	ADP
fsr-3727	546	9	b(a	b(a	NOUN
fsr-3727	546	10	)	)	PUNCT
fsr-3727	546	11	with	with	ADP
fsr-3727	546	12	respect	respect	NOUN
fsr-3727	546	13	to	to	ADP
fsr-3727	546	14	a	a	PRON
fsr-3727	546	15	is	be	AUX
fsr-3727	546	16	positive	positive	ADJ
fsr-3727	546	17	at	at	ADP
fsr-3727	546	18	a	a	PRON
fsr-3727	546	19	*	*	NOUN
fsr-3727	546	20	.	.	PUNCT
fsr-3727	547	1	(	(	PUNCT
fsr-3727	547	2	based	base	VERB
fsr-3727	547	3	on	on	ADP
fsr-3727	547	4	intuition	intuition	NOUN
fsr-3727	547	5	,	,	PUNCT
fsr-3727	547	6	one	one	PRON
fsr-3727	547	7	could	could	AUX
fsr-3727	547	8	assert	assert	VERB
fsr-3727	547	9	without	without	ADP
fsr-3727	547	10	resorting	resort	VERB
fsr-3727	547	11	to	to	ADP
fsr-3727	547	12	s.o.c	s.o.c	PROPN
fsr-3727	547	13	.	.	PUNCT
fsr-3727	548	1	that	that	PRON
fsr-3727	548	2	a	a	PRON
fsr-3727	548	3	*	*	X
fsr-3727	548	4	must	must	AUX
fsr-3727	548	5	be	be	AUX
fsr-3727	548	6	a	a	DET
fsr-3727	548	7	minimum	minimum	NOUN
fsr-3727	548	8	because	because	SCONJ
fsr-3727	548	9	of	of	ADP
fsr-3727	548	10	diversification	diversification	NOUN
fsr-3727	548	11	arguments	argument	NOUN
fsr-3727	548	12	.	.	PUNCT
fsr-3727	548	13	)	)	PUNCT
fsr-3727	549	1	hence	hence	ADV
fsr-3727	549	2	,	,	PUNCT
fsr-3727	549	3	a	a	PRON
fsr-3727	549	4	*	*	PUNCT
fsr-3727	549	5	is	be	AUX
fsr-3727	549	6	a	a	DET
fsr-3727	549	7	unique	unique	ADJ
fsr-3727	549	8	(	(	PUNCT
fsr-3727	549	9	global	global	ADJ
fsr-3727	549	10	)	)	PUNCT
fsr-3727	549	11	minimum	minimum	NOUN
fsr-3727	549	12	,	,	PUNCT
fsr-3727	549	13	and	and	CCONJ
fsr-3727	549	14	we	we	PRON
fsr-3727	549	15	have	have	AUX
fsr-3727	549	16	obtained	obtain	VERB
fsr-3727	549	17	a	a	DET
fsr-3727	549	18	closed	closed	ADJ
fsr-3727	549	19	form	form	NOUN
fsr-3727	549	20	solution	solution	NOUN
fsr-3727	549	21	for	for	ADP
fsr-3727	549	22	the	the	DET
fsr-3727	549	23	proportion	proportion	NOUN
fsr-3727	549	24	a	a	PRON
fsr-3727	549	25	*	*	NOUN
fsr-3727	549	26	that	that	PRON
fsr-3727	549	27	must	must	AUX
fsr-3727	549	28	be	be	AUX
fsr-3727	549	29	allocated	allocate	VERB
fsr-3727	549	30	to	to	ADP
fsr-3727	549	31	treasury	treasury	NOUN
fsr-3727	549	32	bills	bill	NOUN
fsr-3727	549	33	so	so	SCONJ
fsr-3727	549	34	as	as	SCONJ
fsr-3727	549	35	to	to	PART
fsr-3727	549	36	minimize	minimize	VERB
fsr-3727	549	37	the	the	DET
fsr-3727	549	38	probability	probability	NOUN
fsr-3727	549	39	of	of	ADP
fsr-3727	549	40	earning	earn	VERB
fsr-3727	549	41	a	a	DET
fsr-3727	549	42	rate	rate	NOUN
fsr-3727	549	43	of	of	ADP
fsr-3727	549	44	return	return	NOUN
fsr-3727	549	45	that	that	PRON
fsr-3727	549	46	is	be	AUX
fsr-3727	549	47	less	less	ADJ
fsr-3727	549	48	than	than	ADP
fsr-3727	549	49	the	the	DET
fsr-3727	549	50	required	require	VERB
fsr-3727	549	51	amount	amount	NOUN
fsr-3727	549	52	.	.	PUNCT
fsr-3727	550	1	let	let	VERB
fsr-3727	550	2	us	we	PRON
fsr-3727	550	3	perform	perform	VERB
fsr-3727	550	4	some	some	DET
fsr-3727	550	5	comparative	comparative	ADJ
fsr-3727	550	6	statics	static	NOUN
fsr-3727	550	7	by	by	ADP
fsr-3727	550	8	inspecting	inspect	VERB
fsr-3727	550	9	equation	equation	NOUN
fsr-3727	550	10	(	(	PUNCT
fsr-3727	550	11	6	6	NUM
fsr-3727	550	12	)	)	PUNCT
fsr-3727	550	13	,	,	PUNCT
fsr-3727	550	14	we	we	PRON
fsr-3727	550	15	can	can	AUX
fsr-3727	550	16	recognize	recognize	VERB
fsr-3727	550	17	that	that	DET
fsr-3727	550	18	ceteris	ceteris	NOUN
fsr-3727	550	19	paribus	paribus	NOUN
fsr-3727	550	20	as	as	ADP
fsr-3727	550	21	a	a	PRON
fsr-3727	550	22	;	;	PUNCT
fsr-3727	550	23	decreases	decrease	VERB
fsr-3727	550	24	a	a	PRON
fsr-3727	550	25	*	*	PUNCT
fsr-3727	550	26	will	will	AUX
fsr-3727	550	27	increase	increase	VERB
fsr-3727	550	28	.	.	PUNCT
fsr-3727	551	1	intuitively	intuitively	ADV
fsr-3727	551	2	this	this	PRON
fsr-3727	551	3	means	mean	VERB
fsr-3727	551	4	that	that	SCONJ
fsr-3727	551	5	as	as	SCONJ
fsr-3727	551	6	treasury	treasury	PROPN
fsr-3727	551	7	bills	bill	NOUN
fsr-3727	551	8	become	become	VERB
fsr-3727	551	9	less	less	ADV
fsr-3727	551	10	risky	risky	ADJ
fsr-3727	551	11	one	one	PRON
fsr-3727	551	12	should	should	AUX
fsr-3727	551	13	allocate	allocate	VERB
fsr-3727	551	14	a	a	DET
fsr-3727	551	15	higher	high	ADJ
fsr-3727	551	16	proportion	proportion	NOUN
fsr-3727	551	17	of	of	ADP
fsr-3727	551	18	his	his	PRON
fsr-3727	551	19	wealth	wealth	NOUN
fsr-3727	551	20	to	to	ADP
fsr-3727	551	21	treasury	treasury	NOUN
fsr-3727	551	22	bills	bill	NOUN
fsr-3727	551	23	,	,	PUNCT
fsr-3727	551	24	and	and	CCONJ
fsr-3727	551	25	vice	vice	ADV
fsr-3727	551	26	versa	versa	ADV
fsr-3727	551	27	if	if	SCONJ
fsr-3727	551	28	the	the	DET
fsr-3727	551	29	riskiness	riskiness	NOUN
fsr-3727	551	30	of	of	ADP
fsr-3727	551	31	treasury	treasury	PROPN
fsr-3727	551	32	bills	bill	NOUN
fsr-3727	551	33	were	be	AUX
fsr-3727	551	34	to	to	PART
fsr-3727	551	35	increase	increase	VERB
fsr-3727	551	36	.	.	PUNCT
fsr-3727	552	1	mathematically	mathematically	ADV
fsr-3727	552	2	this	this	PRON
fsr-3727	552	3	can	can	AUX
fsr-3727	552	4	be	be	AUX
fsr-3727	552	5	represented	represent	VERB
fsr-3727	552	6	as	as	ADP
fsr-3727	552	7	:	:	PUNCT
fsr-3727	552	8	likewise	likewise	ADV
fsr-3727	552	9	,	,	PUNCT
fsr-3727	552	10	ceterisparibus	ceterisparibus	ADV
fsr-3727	552	11	as	as	ADP
fsr-3727	552	12	g	g	PROPN
fsr-3727	552	13	&	&	CCONJ
fsr-3727	552	14	increases	increase	NOUN
fsr-3727	552	15	,	,	PUNCT
fsr-3727	552	16	a	a	PRON
fsr-3727	552	17	*	*	PUNCT
fsr-3727	552	18	will	will	AUX
fsr-3727	552	19	decrease	decrease	VERB
fsr-3727	552	20	.	.	PUNCT
fsr-3727	553	1	as	as	SCONJ
fsr-3727	553	2	equity	equity	NOUN
fsr-3727	553	3	becomes	become	VERB
fsr-3727	553	4	riskier	risky	ADJ
fsr-3727	553	5	one	one	PRON
fsr-3727	553	6	should	should	AUX
fsr-3727	553	7	allocate	allocate	VERB
fsr-3727	553	8	more	more	ADJ
fsr-3727	553	9	to	to	ADP
fsr-3727	553	10	treasury	treasury	NOUN
fsr-3727	553	11	bills	bill	NOUN
fsr-3727	553	12	.	.	PUNCT
fsr-3727	554	1	mathematically	mathematically	ADV
fsr-3727	554	2	this	this	PRON
fsr-3727	554	3	can	can	AUX
fsr-3727	554	4	be	be	AUX
fsr-3727	554	5	expressed	express	VERB
fsr-3727	554	6	as	as	ADP
fsr-3727	554	7	:	:	PUNCT
fsr-3727	554	8	the	the	DET
fsr-3727	554	9	same	same	ADJ
fsr-3727	554	10	kind	kind	NOUN
fsr-3727	554	11	of	of	ADP
fsr-3727	554	12	argument	argument	NOUN
fsr-3727	554	13	will	will	AUX
fsr-3727	554	14	show	show	VERB
fsr-3727	554	15	that	that	SCONJ
fsr-3727	554	16	as	as	ADP
fsr-3727	554	17	ulfr	ulfr	ADJ
fsr-3727	554	18	increases	increase	NOUN
fsr-3727	554	19	,	,	PUNCT
fsr-3727	554	20	a	a	DET
fsr-3727	554	21	*	*	NOUN
fsr-3727	554	22	increases	increase	NOUN
fsr-3727	554	23	;	;	PUNCT
fsr-3727	554	24	and	and	CCONJ
fsr-3727	554	25	as	as	ADP
fsr-3727	554	26	l&q	l&q	NOUN
fsr-3727	554	27	increases	increase	NOUN
fsr-3727	554	28	,	,	PUNCT
fsr-3727	554	29	.a	.a	PROPN
fsr-3727	554	30	*	*	PUNCT
fsr-3727	554	31	will	will	AUX
fsr-3727	554	32	decrease	decrease	VERB
fsr-3727	554	33	.	.	PUNCT
fsr-3727	555	1	mathematically	mathematically	ADV
fsr-3727	555	2	:	:	PUNCT
fsr-3727	555	3	and	and	CCONJ
fsr-3727	555	4	:	:	PUNCT
fsr-3727	555	5	asset	asset	NOUN
fsr-3727	555	6	allocation	allocation	NOUN
fsr-3727	555	7	,	,	PUNCT
fsr-3727	555	8	life	life	NOUN
fsr-3727	555	9	expectancy	expectancy	NOUN
fsr-3727	555	10	and	and	CCONJ
fsr-3727	555	11	shortfall	shortfall	NOUN
fsr-3727	555	12	123	123	NUM
fsr-3727	555	13	let	let	VERB
fsr-3727	555	14	us	we	PRON
fsr-3727	555	15	rewrite	rewrite	VERB
fsr-3727	555	16	equation	equation	NOUN
fsr-3727	555	17	(	(	PUNCT
fsr-3727	555	18	6	6	NUM
fsr-3727	555	19	)	)	PUNCT
fsr-3727	555	20	as	as	ADP
fsr-3727	555	21	:	:	PUNCT
fsr-3727	555	22	(	(	PUNCT
fsr-3727	555	23	23	23	NUM
fsr-3727	555	24	)	)	PUNCT
fsr-3727	555	25	we	we	PRON
fsr-3727	555	26	see	see	VERB
fsr-3727	555	27	by	by	ADP
fsr-3727	555	28	inspection	inspection	NOUN
fsr-3727	556	1	that	that	PRON
fsr-3727	556	2	as	as	ADP
fsr-3727	556	3	d	d	PROPN
fsr-3727	556	4	increases	increase	NOUN
fsr-3727	556	5	,	,	PUNCT
fsr-3727	556	6	a	a	DET
fsr-3727	556	7	*	*	NOUN
fsr-3727	556	8	decreases	decrease	NOUN
fsr-3727	556	9	.	.	PUNCT
fsr-3727	557	1	hence	hence	ADV
fsr-3727	557	2	,	,	PUNCT
fsr-3727	557	3	as	as	SCONJ
fsr-3727	557	4	the	the	DET
fsr-3727	557	5	required	require	VERB
fsr-3727	557	6	rate	rate	NOUN
fsr-3727	557	7	of	of	ADP
fsr-3727	557	8	return	return	NOUN
fsr-3727	557	9	goes	go	VERB
fsr-3727	557	10	up	up	ADP
fsr-3727	557	11	,	,	PUNCT
fsr-3727	557	12	the	the	DET
fsr-3727	557	13	individual	individual	NOUN
fsr-3727	557	14	must	must	AUX
fsr-3727	557	15	‘	'	PUNCT
fsr-3727	557	16	gamble	gamble	VERB
fsr-3727	557	17	’	'	PUNCT
fsr-3727	557	18	by	by	ADP
fsr-3727	557	19	investing	invest	VERB
fsr-3727	557	20	more	more	ADV
fsr-3727	557	21	in	in	ADP
fsr-3727	557	22	equity	equity	NOUN
fsr-3727	557	23	.	.	PUNCT
fsr-3727	558	1	mathematically	mathematically	ADV
fsr-3727	558	2	:	:	PUNCT
fsr-3727	558	3	aa	aa	PROPN
fsr-3727	558	4	*	*	X
fsr-3727	558	5	-so	-so	SCONJ
fsr-3727	558	6	it	it	PRON
fsr-3727	558	7	is	be	AUX
fsr-3727	558	8	important	important	ADJ
fsr-3727	558	9	to	to	PART
fsr-3727	558	10	note	note	VERB
fsr-3727	558	11	that	that	SCONJ
fsr-3727	558	12	by	by	ADP
fsr-3727	558	13	the	the	DET
fsr-3727	558	14	definition	definition	NOUN
fsr-3727	558	15	of	of	ADP
fsr-3727	558	16	the	the	DET
fsr-3727	558	17	problem	problem	NOUN
fsr-3727	558	18	a	a	PRON
fsr-3727	558	19	is	be	AUX
fsr-3727	558	20	restricted	restrict	VERB
fsr-3727	558	21	to	to	PART
fsr-3727	558	22	be	be	AUX
fsr-3727	558	23	between	between	ADP
fsr-3727	558	24	zero	zero	NUM
fsr-3727	558	25	and	and	CCONJ
fsr-3727	558	26	one	one	NUM
fsr-3727	558	27	.	.	PUNCT
fsr-3727	559	1	on	on	ADP
fsr-3727	559	2	the	the	DET
fsr-3727	559	3	other	other	ADJ
fsr-3727	559	4	hand	hand	NOUN
fsr-3727	559	5	,	,	PUNCT
fsr-3727	559	6	there	there	PRON
fsr-3727	559	7	exist	exist	VERB
fsr-3727	559	8	realistic	realistic	ADJ
fsr-3727	559	9	situations	situation	NOUN
fsr-3727	559	10	where	where	SCONJ
fsr-3727	559	11	plugging	plug	VERB
fsr-3727	559	12	the	the	DET
fsr-3727	559	13	numbers	number	NOUN
fsr-3727	559	14	into	into	ADP
fsr-3727	559	15	equation	equation	NOUN
fsr-3727	559	16	(	(	PUNCT
fsr-3727	559	17	6	6	NUM
fsr-3727	559	18	)	)	PUNCT
fsr-3727	559	19	will	will	AUX
fsr-3727	559	20	produce	produce	VERB
fsr-3727	559	21	an	an	DET
fsr-3727	559	22	a	a	NOUN
fsr-3727	559	23	*	*	NOUN
fsr-3727	559	24	that	that	PRON
fsr-3727	559	25	is	be	AUX
fsr-3727	559	26	negative	negative	ADJ
fsr-3727	559	27	or	or	CCONJ
fsr-3727	559	28	larger	large	ADJ
fsr-3727	559	29	than	than	ADP
fsr-3727	559	30	one	one	NUM
fsr-3727	559	31	.	.	PUNCT
fsr-3727	560	1	in	in	ADP
fsr-3727	560	2	the	the	DET
fsr-3727	560	3	event	event	NOUN
fsr-3727	560	4	that	that	PRON
fsr-3727	560	5	should	should	AUX
fsr-3727	560	6	happen	happen	VERB
fsr-3727	560	7	,	,	PUNCT
fsr-3727	560	8	most	most	ADV
fsr-3727	560	9	probably	probably	ADV
fsr-3727	560	10	the	the	DET
fsr-3727	560	11	required	require	VERB
fsr-3727	560	12	rate	rate	NOUN
fsr-3727	560	13	of	of	ADP
fsr-3727	560	14	return	return	NOUN
fsr-3727	560	15	is	be	AUX
fsr-3727	560	16	too	too	ADV
fsr-3727	560	17	high	high	ADJ
fsr-3727	560	18	;	;	PUNCT
fsr-3727	560	19	that	that	ADV
fsr-3727	560	20	is	is	ADV
fsr-3727	560	21	,	,	PUNCT
fsr-3727	560	22	there	there	PRON
fsr-3727	560	23	is	be	VERB
fsr-3727	560	24	no	no	DET
fsr-3727	560	25	way	way	NOUN
fsr-3727	560	26	to	to	PART
fsr-3727	560	27	minimize	minimize	VERB
fsr-3727	560	28	the	the	DET
fsr-3727	560	29	probability	probability	NOUN
fsr-3727	560	30	of	of	ADP
fsr-3727	560	31	default	default	NOUN
fsr-3727	560	32	because	because	SCONJ
fsr-3727	560	33	b(a	b(a	NOUN
fsr-3727	560	34	)	)	PUNCT
fsr-3727	560	35	is	be	AUX
fsr-3727	560	36	a	a	DET
fsr-3727	560	37	monotonic	monotonic	ADJ
fsr-3727	560	38	function	function	NOUN
fsr-3727	560	39	that	that	PRON
fsr-3727	560	40	has	have	VERB
fsr-3727	560	41	no	no	DET
fsr-3727	560	42	interior	interior	ADJ
fsr-3727	560	43	minimum	minimum	NOUN
fsr-3727	560	44	.	.	PUNCT
fsr-3727	561	1	thus	thus	ADV
fsr-3727	561	2	,	,	PUNCT
fsr-3727	561	3	one	one	PRON
fsr-3727	561	4	should	should	AUX
fsr-3727	561	5	choose	choose	VERB
fsr-3727	561	6	the	the	DET
fsr-3727	561	7	boundary	boundary	ADJ
fsr-3727	561	8	value	value	NOUN
fsr-3727	561	9	closest	close	ADJ
fsr-3727	561	10	to	to	ADP
fsr-3727	561	11	the	the	DET
fsr-3727	561	12	a	a	NOUN
fsr-3727	561	13	*	*	NOUN
fsr-3727	561	14	.	.	PUNCT
fsr-3727	562	1	the	the	DET
fsr-3727	562	2	above	above	ADJ
fsr-3727	562	3	criteria	criterion	NOUN
fsr-3727	562	4	will	will	AUX
fsr-3727	562	5	probably	probably	ADV
fsr-3727	562	6	not	not	PART
fsr-3727	562	7	be	be	AUX
fsr-3727	562	8	appropriate	appropriate	ADJ
fsr-3727	562	9	for	for	ADP
fsr-3727	562	10	individuals	individual	NOUN
fsr-3727	562	11	with	with	ADP
fsr-3727	562	12	either	either	CCONJ
fsr-3727	562	13	very	very	ADV
fsr-3727	562	14	high	high	ADJ
fsr-3727	562	15	or	or	CCONJ
fsr-3727	562	16	very	very	ADV
fsr-3727	562	17	low	low	ADJ
fsr-3727	562	18	d	d	NOUN
fsr-3727	562	19	’s	’s	NOUN
fsr-3727	562	20	.	.	PUNCT
fsr-3727	563	1	finally	finally	ADV
fsr-3727	563	2	,	,	PUNCT
fsr-3727	563	3	the	the	DET
fsr-3727	563	4	problem	problem	NOUN
fsr-3727	563	5	can	can	AUX
fsr-3727	563	6	be	be	AUX
fsr-3727	563	7	solved	solve	VERB
fsr-3727	563	8	analytically	analytically	ADV
fsr-3727	563	9	for	for	ADP
fsr-3727	563	10	the	the	DET
fsr-3727	563	11	case	case	NOUN
fsr-3727	563	12	in	in	ADP
fsr-3727	563	13	which	which	PRON
fsr-3727	563	14	the	the	DET
fsr-3727	563	15	returns	return	NOUN
fsr-3727	563	16	on	on	ADP
fsr-3727	563	17	the	the	DET
fsr-3727	563	18	two	two	NUM
fsr-3727	563	19	assets	asset	NOUN
fsr-3727	563	20	are	be	AUX
fsr-3727	563	21	correlated	correlate	VERB
fsr-3727	563	22	.	.	PUNCT
fsr-3727	564	1	letting	let	VERB
fsr-3727	564	2	p	p	NOUN
fsr-3727	564	3	be	be	AUX
fsr-3727	564	4	the	the	DET
fsr-3727	564	5	correlation	correlation	NOUN
fsr-3727	564	6	between	between	ADP
fsr-3727	564	7	the	the	DET
fsr-3727	564	8	two	two	NUM
fsr-3727	564	9	assets	asset	NOUN
fsr-3727	564	10	,	,	PUNCT
fsr-3727	564	11	equation	equation	NOUN
fsr-3727	564	12	(	(	PUNCT
fsr-3727	564	13	4	4	X
fsr-3727	564	14	)	)	PUNCT
fsr-3727	564	15	becomes	become	VERB
fsr-3727	564	16	:	:	PUNCT
fsr-3727	564	17	o~(a)=o:,.a2+o~~~(1	o~(a)=o:,.a2+o~~~(1	NOUN
fsr-3727	564	18	-	-	PUNCT
fsr-3727	564	19	a)2	a)2	NOUN
fsr-3727	564	20	+	+	NOUN
fsr-3727	564	21	2a(l	2a(l	PROPN
fsr-3727	564	22	-	-	PUNCT
fsr-3727	564	23	a).p.a,,.o	a).p.a,,.o	PROPN
fsr-3727	564	24	,	,	PUNCT
fsr-3727	564	25	.	.	PUNCT
fsr-3727	565	1	proceeding	proceed	VERB
fsr-3727	565	2	to	to	PART
fsr-3727	565	3	solve	solve	VERB
fsr-3727	565	4	it	it	PRON
fsr-3727	565	5	in	in	ADP
fsr-3727	565	6	a	a	DET
fsr-3727	565	7	similar	similar	ADJ
fsr-3727	565	8	fashion	fashion	NOUN
fsr-3727	565	9	yields	yield	NOUN
fsr-3727	565	10	the	the	DET
fsr-3727	565	11	following	following	NOUN
fsr-3727	565	12	:	:	PUNCT
fsr-3727	565	13	(	(	PUNCT
fsr-3727	565	14	24	24	NUM
fsr-3727	565	15	)	)	PUNCT
fsr-3727	565	16	appendix	appendix	NOUN
fsr-3727	565	17	2	2	NUM
fsr-3727	565	18	determining	determine	VERB
fsr-3727	565	19	the	the	DET
fsr-3727	565	20	optimal	optimal	ADJ
fsr-3727	565	21	margin	margin	NOUN
fsr-3727	565	22	the	the	DET
fsr-3727	565	23	(	(	PUNCT
fsr-3727	565	24	levered	levered	ADJ
fsr-3727	565	25	)	)	PUNCT
fsr-3727	565	26	investor	investor	NOUN
fsr-3727	565	27	’s	’s	PART
fsr-3727	565	28	wealth	wealth	NOUN
fsr-3727	565	29	at	at	ADP
fsr-3727	565	30	the	the	DET
fsr-3727	565	31	end	end	NOUN
fsr-3727	565	32	of	of	ADP
fsr-3727	565	33	one	one	NUM
fsr-3727	565	34	year	year	NOUN
fsr-3727	565	35	will	will	AUX
fsr-3727	565	36	be	be	AUX
fsr-3727	565	37	a	a	DET
fsr-3727	565	38	random	random	ADJ
fsr-3727	565	39	variable	variable	NOUN
fsr-3727	565	40	,	,	PUNCT
fsr-3727	565	41	if	if	SCONJ
fsr-3727	565	42	one	one	PRON
fsr-3727	565	43	starts	start	VERB
fsr-3727	565	44	with	with	ADP
fsr-3727	565	45	wa	wa	NOUN
fsr-3727	565	46	to	to	PART
fsr-3727	565	47	invest	invest	VERB
fsr-3727	565	48	:	:	PUNCT
fsr-3727	565	49	w	w	PROPN
fsr-3727	565	50	,	,	PUNCT
fsr-3727	565	51	x(l+q)x~-wwoxqxrb	x(l+q)x~-wwoxqxrb	NUM
fsr-3727	565	52	,	,	PUNCT
fsr-3727	565	53	(	(	PUNCT
fsr-3727	565	54	26	26	NUM
fsr-3727	565	55	)	)	PUNCT
fsr-3727	565	56	where	where	SCONJ
fsr-3727	565	57	x	x	PRON
fsr-3727	565	58	is	be	AUX
fsr-3727	565	59	the	the	DET
fsr-3727	565	60	random	random	ADJ
fsr-3727	565	61	variable	variable	NOUN
fsr-3727	565	62	,	,	PUNCT
fsr-3727	565	63	which	which	PRON
fsr-3727	565	64	represents	represent	VERB
fsr-3727	565	65	the	the	DET
fsr-3727	565	66	(	(	PUNCT
fsr-3727	565	67	one	one	NUM
fsr-3727	565	68	plus	plus	NOUN
fsr-3727	565	69	)	)	PUNCT
fsr-3727	565	70	rate	rate	NOUN
fsr-3727	565	71	of	of	ADP
fsr-3727	565	72	return	return	NOUN
fsr-3727	565	73	from	from	ADP
fsr-3727	565	74	equity	equity	NOUN
fsr-3727	565	75	with	with	ADP
fsr-3727	565	76	mean	mean	ADJ
fsr-3727	565	77	ple4	ple4	NOUN
fsr-3727	565	78	and	and	CCONJ
fsr-3727	565	79	standard	standard	ADJ
fsr-3727	565	80	deviation	deviation	NOUN
fsr-3727	565	81	creq	creq	ADJ
fsr-3727	565	82	.	.	PUNCT
fsr-3727	566	1	as	as	SCONJ
fsr-3727	566	2	previously	previously	ADV
fsr-3727	566	3	-	-	PUNCT
fsr-3727	566	4	defined	define	VERB
fsr-3727	566	5	,	,	PUNCT
fsr-3727	566	6	q	q	X
fsr-3727	566	7	is	be	AUX
fsr-3727	566	8	the	the	DET
fsr-3727	566	9	margin	margin	NOUN
fsr-3727	566	10	,	,	PUNCT
fsr-3727	566	11	expressed	express	VERB
fsr-3727	566	12	as	as	ADP
fsr-3727	566	13	a	a	DET
fsr-3727	566	14	fraction	fraction	NOUN
fsr-3727	566	15	of	of	ADP
fsr-3727	566	16	the	the	DET
fsr-3727	566	17	investor	investor	NOUN
fsr-3727	566	18	’s	’s	PART
fsr-3727	566	19	total	total	ADJ
fsr-3727	566	20	assets	asset	NOUN
fsr-3727	566	21	and	and	CCONJ
fsr-3727	566	22	r	r	NOUN
fsr-3727	566	23	,	,	PUNCT
fsr-3727	566	24	is	be	AUX
fsr-3727	566	25	the	the	DET
fsr-3727	566	26	borrowing	borrowing	NOUN
fsr-3727	566	27	rate	rate	NOUN
fsr-3727	566	28	.	.	PUNCT
fsr-3727	567	1	we	we	PRON
fsr-3727	567	2	create	create	VERB
fsr-3727	567	3	a	a	DET
fsr-3727	567	4	new	new	ADJ
fsr-3727	567	5	random	random	ADJ
fsr-3727	567	6	variable	variable	NOUN
fsr-3727	567	7	“	"	PUNCT
fsr-3727	567	8	r	r	NOUN
fsr-3727	567	9	such	such	ADJ
fsr-3727	567	10	that	that	PRON
fsr-3727	567	11	:	:	PUNCT
fsr-3727	567	12	“	"	PUNCT
fsr-3727	567	13	y=(l+q)xx	y=(l+q)xx	NOUN
fsr-3727	567	14	-	-	PUNCT
fsr-3727	567	15	qxrb	qxrb	NOUN
fsr-3727	567	16	,	,	PUNCT
fsr-3727	567	17	(	(	PUNCT
fsr-3727	567	18	27	27	NUM
fsr-3727	567	19	)	)	PUNCT
fsr-3727	567	20	124	124	NUM
fsr-3727	567	21	financial	financial	ADJ
fsr-3727	567	22	services	service	NOUN
fsr-3727	567	23	review	review	NOUN
fsr-3727	567	24	,	,	PUNCT
fsr-3727	567	25	3(2	3(2	NUM
fsr-3727	567	26	)	)	PUNCT
fsr-3727	567	27	1994	1994	NUM
fsr-3727	567	28	which	which	PRON
fsr-3727	567	29	represents	represent	VERB
fsr-3727	567	30	the	the	DET
fsr-3727	567	31	random	random	ADJ
fsr-3727	567	32	levered	levered	NOUN
fsr-3727	567	33	(	(	PUNCT
fsr-3727	567	34	one	one	NUM
fsr-3727	567	35	plus	plus	NOUN
fsr-3727	567	36	)	)	PUNCT
fsr-3727	567	37	rate	rate	NOUN
fsr-3727	567	38	of	of	ADP
fsr-3727	567	39	return	return	NOUN
fsr-3727	567	40	from	from	ADP
fsr-3727	567	41	the	the	DET
fsr-3727	567	42	margined	margined	ADJ
fsr-3727	567	43	position	position	NOUN
fsr-3727	567	44	.	.	PUNCT
fsr-3727	568	1	e[“yi	e[“yi	PROPN
fsr-3727	569	1	=	=	PUNCT
fsr-3727	570	1	(	(	PUNCT
fsr-3727	570	2	1	1	NUM
fsr-3727	570	3	+	+	CCONJ
fsr-3727	570	4	9	9	NUM
fsr-3727	570	5	)	)	PUNCT
fsr-3727	570	6	x	x	SYM
fsr-3727	570	7	pe4	pe4	NOUN
fsr-3727	570	8	4	4	NUM
fsr-3727	570	9	x	x	SYM
fsr-3727	570	10	rb	rb	NOUN
fsr-3727	570	11	;	;	PUNCT
fsr-3727	570	12	(	(	PUNCT
fsr-3727	570	13	28	28	NUM
fsr-3727	570	14	)	)	PUNCT
fsr-3727	570	15	likewise	likewise	ADV
fsr-3727	570	16	s.d.[yj	s.d.[yj	X
fsr-3727	571	1	=	=	PUNCT
fsr-3727	571	2	(	(	PUNCT
fsr-3727	571	3	1	1	NUM
fsr-3727	571	4	+	+	CCONJ
fsr-3727	571	5	q	q	X
fsr-3727	571	6	)	)	PUNCT
fsr-3727	571	7	x	x	SYM
fsr-3727	571	8	oe4	oe4	NOUN
fsr-3727	571	9	.	.	PUNCT
fsr-3727	572	1	(	(	PUNCT
fsr-3727	572	2	29	29	NUM
fsr-3727	572	3	)	)	PUNCT
fsr-3727	572	4	this	this	PRON
fsr-3727	572	5	represents	represent	VERB
fsr-3727	572	6	the	the	DET
fsr-3727	572	7	higher	high	ADJ
fsr-3727	572	8	expected	expect	VERB
fsr-3727	572	9	return	return	NOUN
fsr-3727	572	10	,	,	PUNCT
fsr-3727	572	11	as	as	ADV
fsr-3727	572	12	well	well	ADV
fsr-3727	572	13	as	as	ADP
fsr-3727	572	14	higher	high	ADJ
fsr-3727	572	15	risk	risk	NOUN
fsr-3727	572	16	,	,	PUNCT
fsr-3727	572	17	in	in	ADP
fsr-3727	572	18	the	the	DET
fsr-3727	572	19	margined	margined	ADJ
fsr-3727	572	20	position	position	NOUN
fsr-3727	572	21	.	.	PUNCT
fsr-3727	573	1	in	in	ADP
fsr-3727	573	2	addition	addition	NOUN
fsr-3727	573	3	“	"	PUNCT
fsr-3727	573	4	y	y	PROPN
fsr-3727	573	5	is	be	AUX
fsr-3727	573	6	normally	normally	ADV
fsr-3727	573	7	distributed	distribute	VERB
fsr-3727	573	8	by	by	ADP
fsr-3727	573	9	simple	simple	ADJ
fsr-3727	573	10	additivity	additivity	NOUN
fsr-3727	573	11	.	.	PUNCT
fsr-3727	574	1	as	as	ADP
fsr-3727	574	2	before	before	ADV
fsr-3727	574	3	,	,	PUNCT
fsr-3727	574	4	we	we	PRON
fsr-3727	574	5	seek	seek	VERB
fsr-3727	574	6	the	the	DET
fsr-3727	574	7	optimal	optimal	ADJ
fsr-3727	574	8	q	q	NOUN
fsr-3727	574	9	*	*	NOUN
fsr-3727	574	10	that	that	PRON
fsr-3727	574	11	will	will	AUX
fsr-3727	574	12	minimize	minimize	VERB
fsr-3727	574	13	the	the	DET
fsr-3727	574	14	probability	probability	NOUN
fsr-3727	574	15	of	of	ADP
fsr-3727	574	16	earning	earn	VERB
fsr-3727	574	17	a	a	DET
fsr-3727	574	18	(	(	PUNCT
fsr-3727	574	19	one	one	NUM
fsr-3727	574	20	plus	plus	NOUN
fsr-3727	574	21	)	)	PUNCT
fsr-3727	574	22	rate	rate	NOUN
fsr-3727	574	23	of	of	ADP
fsr-3727	574	24	return	return	NOUN
fsr-3727	574	25	that	that	PRON
fsr-3727	574	26	is	be	AUX
fsr-3727	574	27	under	under	ADP
fsr-3727	574	28	d.	d.	PROPN
fsr-3727	574	29	mathematically	mathematically	ADV
fsr-3727	574	30	:	:	PUNCT
fsr-3727	574	31	(	(	PUNCT
fsr-3727	574	32	30	30	X
fsr-3727	574	33	)	)	PUNCT
fsr-3727	574	34	proceeding	proceed	VERB
fsr-3727	574	35	with	with	ADP
fsr-3727	574	36	the	the	DET
fsr-3727	574	37	derivation	derivation	NOUN
fsr-3727	574	38	and	and	CCONJ
fsr-3727	574	39	conditions	condition	NOUN
fsr-3727	574	40	as	as	ADP
fsr-3727	574	41	in	in	ADP
fsr-3727	574	42	appendix	appendix	NOUN
fsr-3727	574	43	1	1	NUM
fsr-3727	574	44	,	,	PUNCT
fsr-3727	574	45	we	we	PRON
fsr-3727	574	46	are	be	AUX
fsr-3727	574	47	seeking	seek	VERB
fsr-3727	574	48	to	to	PART
fsr-3727	574	49	minimize	minimize	VERB
fsr-3727	574	50	the	the	DET
fsr-3727	574	51	function	function	NOUN
fsr-3727	574	52	:	:	PUNCT
fsr-3727	574	53	min	min	PROPN
fsr-3727	574	54	q	q	ADJ
fsr-3727	574	55	,	,	PUNCT
fsr-3727	574	56	d	d	X
fsr-3727	574	57	(	(	PUNCT
fsr-3727	574	58	i+	i+	NOUN
fsr-3727	574	59	4	4	NUM
fsr-3727	574	60	)	)	PUNCT
fsr-3727	574	61	x	x	SYM
fsr-3727	575	1	peq	peq	PROPN
fsr-3727	575	2	+	+	CCONJ
fsr-3727	575	3	4	4	NUM
fsr-3727	575	4	x	x	SYM
fsr-3727	575	5	rb	rb	X
fsr-3727	575	6	drb	drb	PROPN
fsr-3727	575	7	(	(	PUNCT
fsr-3727	575	8	lb4	lb4	NOUN
fsr-3727	575	9	.)i	.)i	PUNCT
fsr-3727	576	1	(	(	PUNCT
fsr-3727	576	2	31	31	NUM
fsr-3727	576	3	)	)	SYM
fsr-3727	576	4	4	4	NUM
fsr-3727	576	5	(	(	PUNCT
fsr-3727	576	6	1	1	NUM
fsr-3727	576	7	+	+	NOUN
fsr-3727	576	8	4x%	4x%	NOUN
fsr-3727	576	9	,	,	PUNCT
fsr-3727	576	10	u+q)xgq	u+q)xgq	NOUN
fsr-3727	576	11	%	%	NOUN
fsr-3727	576	12	q	q	NOUN
fsr-3727	576	13	.	.	PUNCT
fsr-3727	577	1	setting	set	VERB
fsr-3727	577	2	up	up	ADP
fsr-3727	577	3	the	the	DET
fsr-3727	577	4	first	first	ADJ
fsr-3727	577	5	order	order	NOUN
fsr-3727	577	6	conditions	condition	NOUN
fsr-3727	577	7	for	for	ADP
fsr-3727	577	8	optimality	optimality	NOUN
fsr-3727	577	9	implies	imply	VERB
fsr-3727	577	10	finding	find	VERB
fsr-3727	577	11	a	a	DET
fsr-3727	577	12	q	q	NOUN
fsr-3727	577	13	*	*	PUNCT
fsr-3727	577	14	such	such	ADJ
fsr-3727	577	15	that	that	SCONJ
fsr-3727	577	16	:	:	PUNCT
fsr-3727	577	17	q	q	X
fsr-3727	577	18	’	'	PUNCT
fsr-3727	577	19	drb	drb	X
fsr-3727	577	20	_	_	PUNCT
fsr-3727	578	1	(	(	PUNCT
fsr-3727	578	2	kb	kb	PROPN
fsr-3727	578	3	rb	rb	PROPN
fsr-3727	578	4	)	)	PUNCT
fsr-3727	578	5	(	(	PUNCT
fsr-3727	578	6	l+q’)xo	l+q’)xo	NOUN
fsr-3727	578	7	,	,	PUNCT
fsr-3727	578	8	%	%	NOUN
fsr-3727	578	9	q	q	NOUN
fsr-3727	578	10	1	1	NUM
fsr-3727	578	11	=	=	SYM
fsr-3727	578	12	o	o	NOUN
fsr-3727	578	13	’	'	PUNCT
fsr-3727	578	14	(	(	PUNCT
fsr-3727	578	15	32	32	NUM
fsr-3727	578	16	)	)	PUNCT
fsr-3727	578	17	which	which	PRON
fsr-3727	578	18	is	be	AUX
fsr-3727	578	19	equivalent	equivalent	ADJ
fsr-3727	578	20	to	to	ADP
fsr-3727	578	21	finding	find	VERB
fsr-3727	578	22	a	a	DET
fsr-3727	578	23	q	q	NOUN
fsr-3727	578	24	*	*	NOUN
fsr-3727	578	25	that	that	PRON
fsr-3727	578	26	satisfies	satisfy	VERB
fsr-3727	578	27	:	:	PUNCT
fsr-3727	578	28	however	however	ADV
fsr-3727	578	29	,	,	PUNCT
fsr-3727	578	30	there	there	PRON
fsr-3727	578	31	is	be	VERB
fsr-3727	578	32	no	no	DET
fsr-3727	578	33	positive	positive	ADJ
fsr-3727	578	34	value	value	NOUN
fsr-3727	578	35	of	of	ADP
fsr-3727	578	36	q	q	NOUN
fsr-3727	578	37	*	*	NOUN
fsr-3727	578	38	that	that	PRON
fsr-3727	578	39	will	will	AUX
fsr-3727	578	40	satisfy	satisfy	VERB
fsr-3727	578	41	the	the	DET
fsr-3727	578	42	above	above	ADJ
fsr-3727	578	43	first	first	ADJ
fsr-3727	578	44	order	order	NOUN
fsr-3727	578	45	condition	condition	NOUN
fsr-3727	578	46	.	.	PUNCT
fsr-3727	579	1	in	in	ADP
fsr-3727	579	2	fact	fact	NOUN
fsr-3727	579	3	,	,	PUNCT
fsr-3727	579	4	by	by	ADP
fsr-3727	579	5	inspection	inspection	NOUN
fsr-3727	579	6	,	,	PUNCT
fsr-3727	579	7	one	one	PRON
fsr-3727	579	8	can	can	AUX
fsr-3727	579	9	ascertain	ascertain	VERB
fsr-3727	579	10	thatfir	thatfir	PROPN
fsr-3727	579	11	all	all	DET
fsr-3727	579	12	values	value	NOUN
fsr-3727	579	13	of	of	ADP
fsr-3727	579	14	q	q	PUNCT
fsr-3727	579	15	the	the	DET
fsr-3727	579	16	derivative	derivative	NOUN
fsr-3727	579	17	is	be	AUX
fsr-3727	579	18	negative	negative	ADJ
fsr-3727	579	19	,	,	PUNCT
fsr-3727	579	20	this	this	PRON
fsr-3727	579	21	in	in	ADP
fsr-3727	579	22	turn	turn	NOUN
fsr-3727	579	23	implies	imply	VERB
fsr-3727	579	24	that	that	SCONJ
fsr-3727	579	25	the	the	DET
fsr-3727	579	26	objective	objective	ADJ
fsr-3727	579	27	function	function	NOUN
fsr-3727	579	28	is	be	AUX
fsr-3727	579	29	decreasing	decrease	VERB
fsr-3727	579	30	in	in	ADP
fsr-3727	579	31	q.	q.	NOUN
fsr-3727	579	32	but	but	CCONJ
fsr-3727	579	33	all	all	PRON
fsr-3727	579	34	is	be	AUX
fsr-3727	579	35	not	not	PART
fsr-3727	579	36	lost	lose	VERB
fsr-3727	579	37	.	.	PUNCT
fsr-3727	580	1	the	the	DET
fsr-3727	580	2	objective	objective	ADJ
fsr-3727	580	3	function	function	NOUN
fsr-3727	580	4	has	have	VERB
fsr-3727	580	5	a	a	DET
fsr-3727	580	6	well	well	ADV
fsr-3727	580	7	defined	define	VERB
fsr-3727	580	8	asymptotic	asymptotic	ADJ
fsr-3727	580	9	value	value	NOUN
fsr-3727	580	10	which	which	PRON
fsr-3727	580	11	can	can	AUX
fsr-3727	580	12	be	be	AUX
fsr-3727	580	13	obtained	obtain	VERB
fsr-3727	580	14	by	by	ADP
fsr-3727	580	15	taking	take	VERB
fsr-3727	580	16	the	the	DET
fsr-3727	580	17	limit	limit	NOUN
fsr-3727	580	18	as	as	ADP
fsr-3727	580	19	q	q	PROPN
fsr-3727	580	20	+	+	NOUN
fsr-3727	580	21	00	00	NUM
fsr-3727	580	22	.	.	PUNCT
fsr-3727	581	1	the	the	DET
fsr-3727	581	2	asymptotic	asymptotic	ADJ
fsr-3727	581	3	value	value	NOUN
fsr-3727	581	4	of	of	ADP
fsr-3727	581	5	the	the	DET
fsr-3727	581	6	objective	objective	ADJ
fsr-3727	581	7	function	function	NOUN
fsr-3727	581	8	will	will	AUX
fsr-3727	581	9	be	be	AUX
fsr-3727	581	10	a	a	DET
fsr-3727	581	11	_	_	PRON
fsr-3727	581	12	(	(	PUNCT
fsr-3727	581	13	&	&	CCONJ
fsr-3727	581	14	rb	rb	PROPN
fsr-3727	581	15	)	)	PUNCT
fsr-3727	581	16	[	[	PUNCT
fsr-3727	581	17	1	1	NUM
fsr-3727	581	18	0	0	NUM
fsr-3727	581	19	eq	eq	NOUN
fsr-3727	581	20	(	(	PUNCT
fsr-3727	581	21	34	34	NUM
fsr-3727	581	22	)	)	PUNCT
fsr-3727	581	23	so	so	ADV
fsr-3727	581	24	in	in	ADP
fsr-3727	581	25	fact	fact	NOUN
fsr-3727	581	26	,	,	PUNCT
fsr-3727	581	27	the	the	DET
fsr-3727	581	28	probability	probability	NOUN
fsr-3727	581	29	of	of	ADP
fsr-3727	581	30	earning	earn	VERB
fsr-3727	581	31	a	a	DET
fsr-3727	581	32	rate	rate	NOUN
fsr-3727	581	33	of	of	ADP
fsr-3727	581	34	return	return	NOUN
fsr-3727	581	35	that	that	PRON
fsr-3727	581	36	is	be	AUX
fsr-3727	581	37	under	under	ADP
fsr-3727	581	38	d	d	NOUN
fsr-3727	581	39	,	,	PUNCT
fsr-3727	581	40	by	by	ADP
fsr-3727	581	41	buying	buy	VERB
fsr-3727	581	42	on	on	ADP
fsr-3727	581	43	margin	margin	NOUN
fsr-3727	581	44	,	,	PUNCT
fsr-3727	581	45	will	will	AUX
fsr-3727	581	46	approach	approach	VERB
fsr-3727	581	47	a	a	DET
fsr-3727	581	48	limit	limit	NOUN
fsr-3727	581	49	as	as	SCONJ
fsr-3727	581	50	the	the	DET
fsr-3727	581	51	amount	amount	NOUN
fsr-3727	581	52	of	of	ADP
fsr-3727	581	53	margin	margin	NOUN
fsr-3727	581	54	goes	go	VERB
fsr-3727	581	55	out	out	ADP
fsr-3727	581	56	to	to	ADP
fsr-3727	581	57	infinity	infinity	NOUN
fsr-3727	581	58	.	.	PUNCT
fsr-3727	582	1	it	it	PRON
fsr-3727	582	2	is	be	AUX
fsr-3727	582	3	important	important	ADJ
fsr-3727	582	4	to	to	PART
fsr-3727	582	5	realize	realize	VERB
fsr-3727	582	6	,	,	PUNCT
fsr-3727	582	7	that	that	SCONJ
fsr-3727	582	8	the	the	DET
fsr-3727	582	9	above	above	ADJ
fsr-3727	582	10	mentioned	mention	VERB
fsr-3727	582	11	probability	probability	NOUN
fsr-3727	582	12	is	be	AUX
fsr-3727	582	13	not	not	PART
fsr-3727	582	14	a	a	DET
fsr-3727	582	15	probability	probability	NOUN
fsr-3727	582	16	of	of	ADP
fsr-3727	582	17	starvation	starvation	NOUN
fsr-3727	582	18	(	(	PUNCT
fsr-3727	582	19	or	or	CCONJ
fsr-3727	582	20	failing	fail	VERB
fsr-3727	582	21	to	to	PART
fsr-3727	582	22	meet	meet	VERB
fsr-3727	582	23	the	the	DET
fsr-3727	582	24	consumption	consumption	NOUN
fsr-3727	582	25	requirement	requirement	NOUN
fsr-3727	582	26	)	)	PUNCT
fsr-3727	582	27	.	.	PUNCT
fsr-3727	583	1	it	it	PRON
fsr-3727	583	2	is	be	AUX
fsr-3727	583	3	the	the	DET
fsr-3727	583	4	probability	probability	NOUN
fsr-3727	583	5	of	of	ADP
fsr-3727	583	6	earning	earn	VERB
fsr-3727	583	7	,	,	PUNCT
fsr-3727	583	8	in	in	ADP
fsr-3727	583	9	one	one	NUM
fsr-3727	583	10	year	year	NOUN
fsr-3727	583	11	,	,	PUNCT
fsr-3727	583	12	a	a	DET
fsr-3727	583	13	rate	rate	NOUN
fsr-3727	583	14	of	of	ADP
fsr-3727	583	15	return	return	NOUN
fsr-3727	583	16	that	that	PRON
fsr-3727	583	17	is	be	AUX
fsr-3727	583	18	under	under	ADP
fsr-3727	583	19	the	the	DET
fsr-3727	583	20	required	require	VERB
fsr-3727	583	21	level	level	NOUN
fsr-3727	583	22	.	.	PUNCT
fsr-3727	584	1	if	if	SCONJ
fsr-3727	584	2	indeed	indeed	ADV
fsr-3727	584	3	one	one	NOUN
fsr-3727	584	4	earned	earn	VERB
fsr-3727	584	5	an	an	DET
fsr-3727	584	6	above	above	ADJ
fsr-3727	584	7	average	average	ADJ
fsr-3727	584	8	return	return	NOUN
fsr-3727	584	9	in	in	ADP
fsr-3727	584	10	the	the	DET
fsr-3727	584	11	following	following	ADJ
fsr-3727	584	12	year	year	NOUN
fsr-3727	584	13	then	then	ADV
fsr-3727	584	14	one	one	PRON
fsr-3727	584	15	could	could	AUX
fsr-3727	584	16	recuperate	recuperate	VERB
fsr-3727	584	17	the	the	DET
fsr-3727	584	18	losses	loss	NOUN
fsr-3727	584	19	and	and	CCONJ
fsr-3727	584	20	meet	meet	VERB
fsr-3727	584	21	all	all	DET
fsr-3727	584	22	future	future	ADJ
fsr-3727	584	23	consumption	consumption	NOUN
fsr-3727	584	24	requirements	requirement	NOUN
fsr-3727	584	25	.	.	PUNCT
fsr-3727	585	1	the	the	DET
fsr-3727	585	2	overall	overall	ADJ
fsr-3727	585	3	probability	probability	NOUN
fsr-3727	585	4	of	of	ADP
fsr-3727	585	5	starvation	starvation	NOUN
fsr-3727	585	6	is	be	AUX
fsr-3727	585	7	the	the	DET
fsr-3727	585	8	probability	probability	NOUN
fsr-3727	585	9	of	of	ADP
fsr-3727	585	10	repeat	repeat	NOUN
fsr-3727	585	11	asset	asset	NOUN
fsr-3727	585	12	allocation	allocation	NOUN
fsr-3727	585	13	,	,	PUNCT
fsr-3727	585	14	life	life	NOUN
fsr-3727	585	15	expectancy	expectancy	NOUN
fsr-3727	585	16	and	and	CCONJ
fsr-3727	585	17	shortfall	shortfall	NOUN
fsr-3727	585	18	12s	12	NOUN
fsr-3727	585	19	edly	edly	ADV
fsr-3727	585	20	earning	earn	VERB
fsr-3727	585	21	a	a	DET
fsr-3727	585	22	rate	rate	NOUN
fsr-3727	585	23	of	of	ADP
fsr-3727	585	24	return	return	NOUN
fsr-3727	585	25	under	under	ADP
fsr-3727	585	26	the	the	DET
fsr-3727	585	27	required	require	VERB
fsr-3727	585	28	rate	rate	NOUN
fsr-3727	585	29	,	,	PUNCT
fsr-3727	585	30	over	over	ADP
fsr-3727	585	31	long	long	ADJ
fsr-3727	585	32	periods	period	NOUN
fsr-3727	585	33	of	of	ADP
fsr-3727	585	34	time	time	NOUN
fsr-3727	585	35	,	,	PUNCT
fsr-3727	585	36	so	so	SCONJ
fsr-3727	585	37	as	as	SCONJ
fsr-3727	585	38	to	to	PART
fsr-3727	585	39	make	make	VERB
fsr-3727	585	40	the	the	DET
fsr-3727	585	41	required	require	VERB
fsr-3727	585	42	consumption	consumption	NOUN
fsr-3727	585	43	infeasible	infeasible	ADJ
fsr-3727	585	44	.	.	PUNCT
fsr-3727	586	1	this	this	DET
fsr-3727	586	2	probability	probability	NOUN
fsr-3727	586	3	is	be	AUX
fsr-3727	586	4	not	not	PART
fsr-3727	586	5	addressed	address	VERB
fsr-3727	586	6	in	in	ADP
fsr-3727	586	7	the	the	DET
fsr-3727	586	8	paper	paper	NOUN
fsr-3727	586	9	.	.	PUNCT
fsr-3727	587	1	let	let	VERB
fsr-3727	587	2	us	we	PRON
fsr-3727	587	3	continue	continue	VERB
fsr-3727	587	4	with	with	ADP
fsr-3727	587	5	our	our	PRON
fsr-3727	587	6	margin	margin	NOUN
fsr-3727	587	7	discussion	discussion	NOUN
fsr-3727	587	8	.	.	PUNCT
fsr-3727	588	1	in	in	ADP
fsr-3727	588	2	theory	theory	NOUN
fsr-3727	588	3	the	the	DET
fsr-3727	588	4	asymptotic	asymptotic	ADJ
fsr-3727	588	5	value	value	NOUN
fsr-3727	588	6	means	mean	VERB
fsr-3727	588	7	that	that	SCONJ
fsr-3727	588	8	there	there	PRON
fsr-3727	588	9	is	be	VERB
fsr-3727	588	10	no	no	DET
fsr-3727	588	11	optimal	optimal	ADJ
fsr-3727	588	12	margin	margin	NOUN
fsr-3727	588	13	per	per	ADP
fsr-3727	588	14	se	se	X
fsr-3727	588	15	.	.	PUNCT
fsr-3727	589	1	yet	yet	ADV
fsr-3727	589	2	,	,	PUNCT
fsr-3727	589	3	we	we	PRON
fsr-3727	589	4	can	can	AUX
fsr-3727	589	5	find	find	VERB
fsr-3727	589	6	a	a	DET
fsr-3727	589	7	q	q	NOUN
fsr-3727	589	8	”	"	PUNCT
fsr-3727	589	9	that	that	PRON
fsr-3727	589	10	will	will	AUX
fsr-3727	589	11	bring	bring	VERB
fsr-3727	589	12	us	we	PRON
fsr-3727	589	13	within	within	ADP
fsr-3727	589	14	e	e	PROPN
fsr-3727	589	15	of	of	ADP
fsr-3727	589	16	the	the	DET
fsr-3727	589	17	minimal	minimal	ADJ
fsr-3727	589	18	probability	probability	NOUN
fsr-3727	589	19	.	.	PUNCT
fsr-3727	590	1	this	this	DET
fsr-3727	590	2	q	q	NOUN
fsr-3727	590	3	”	"	PUNCT
fsr-3727	590	4	will	will	AUX
fsr-3727	590	5	satisfy	satisfy	VERB
fsr-3727	590	6	q	q	PRON
fsr-3727	590	7	,	,	PUNCT
fsr-3727	590	8	drb	drb	X
fsr-3727	590	9	(	(	PUNCT
fsr-3727	590	10	1	1	NUM
fsr-3727	590	11	+	+	NUM
fsr-3727	590	12	47	47	NUM
fsr-3727	590	13	x	x	SYM
fsr-3727	590	14	%	%	NOUN
fsr-3727	590	15	q	q	NOUN
fsr-3727	590	16	acknowledgments	acknowledgment	NOUN
fsr-3727	590	17	the	the	DET
fsr-3727	590	18	authors	author	NOUN
fsr-3727	590	19	thank	thank	VERB
fsr-3727	590	20	gilles	gille	NOUN
fsr-3727	590	21	bernier	bernier	NOUN
fsr-3727	590	22	,	,	PUNCT
fsr-3727	590	23	david	david	PROPN
fsr-3727	590	24	brophy	brophy	PROPN
fsr-3727	590	25	,	,	PUNCT
fsr-3727	590	26	dale	dale	PROPN
fsr-3727	590	27	domian	domian	PROPN
fsr-3727	590	28	,	,	PUNCT
fsr-3727	590	29	myron	myron	PROPN
fsr-3727	590	30	gordon	gordon	PROPN
fsr-3727	590	31	,	,	PUNCT
fsr-3727	590	32	sherman	sherman	PROPN
fsr-3727	590	33	hanna	hanna	PROPN
fsr-3727	590	34	,	,	PUNCT
fsr-3727	590	35	barbara	barbara	PROPN
fsr-3727	590	36	poole	poole	PROPN
fsr-3727	590	37	and	and	CCONJ
fsr-3727	590	38	tom	tom	PROPN
fsr-3727	590	39	salisbury	salisbury	PROPN
fsr-3727	590	40	for	for	ADP
fsr-3727	590	41	helpful	helpful	ADJ
fsr-3727	590	42	comments	comment	NOUN
fsr-3727	590	43	.	.	PUNCT
fsr-3727	591	1	address	address	VERB
fsr-3727	591	2	all	all	DET
fsr-3727	591	3	communica	communica	PROPN
fsr-3727	591	4	tions	tion	NOUN
fsr-3727	591	5	to	to	ADP
fsr-3727	591	6	chris	chris	PROPN
fsr-3727	591	7	robinson	robinson	PROPN
fsr-3727	591	8	,	,	PUNCT
fsr-3727	591	9	faculty	faculty	NOUN
fsr-3727	591	10	of	of	ADP
fsr-3727	591	11	administrative	administrative	ADJ
fsr-3727	591	12	studies	study	NOUN
fsr-3727	591	13	,	,	PUNCT
fsr-3727	591	14	york	york	PROPN
fsr-3727	591	15	university	university	PROPN
fsr-3727	591	16	,	,	PUNCT
fsr-3727	591	17	north	north	PROPN
fsr-3727	591	18	york	york	PROPN
fsr-3727	591	19	,	,	PUNCT
fsr-3727	591	20	canada	canada	PROPN
fsr-3727	591	21	m3j	m3j	PROPN
fsr-3727	591	22	lp3	lp3	PROPN
fsr-3727	591	23	(	(	PUNCT
fsr-3727	591	24	email	email	NOUN
fsr-3727	591	25	:	:	PUNCT
fsr-3727	591	26	as0oo037@orion.yorku.ca	as0oo037@orion.yorku.ca	NUM
fsr-3727	591	27	)	)	PUNCT
fsr-3727	591	28	notes	note	VERB
fsr-3727	591	29	1	1	NUM
fsr-3727	591	30	.	.	PUNCT
fsr-3727	592	1	we	we	PRON
fsr-3727	592	2	assume	assume	VERB
fsr-3727	592	3	throughout	throughout	ADP
fsr-3727	592	4	that	that	DET
fsr-3727	592	5	investment	investment	NOUN
fsr-3727	592	6	in	in	ADP
fsr-3727	592	7	any	any	DET
fsr-3727	592	8	one	one	NUM
fsr-3727	592	9	asset	asset	NOUN
fsr-3727	592	10	class	class	NOUN
fsr-3727	592	11	is	be	AUX
fsr-3727	592	12	approximately	approximately	ADV
fsr-3727	592	13	diversified	diversified	ADJ
fsr-3727	592	14	,	,	PUNCT
fsr-3727	592	15	perhaps	perhaps	ADV
fsr-3727	592	16	through	through	ADP
fsr-3727	592	17	a	a	DET
fsr-3727	592	18	mutual	mutual	ADJ
fsr-3727	592	19	fund	fund	NOUN
fsr-3727	592	20	.	.	PUNCT
fsr-3727	593	1	2	2	X
fsr-3727	593	2	.	.	X
fsr-3727	593	3	gitman	gitman	NOUN
fsr-3727	593	4	and	and	CCONJ
fsr-3727	593	5	joehnk	joehnk	PROPN
fsr-3727	593	6	(	(	PUNCT
fsr-3727	593	7	1990	1990	NUM
fsr-3727	593	8	,	,	PUNCT
fsr-3727	593	9	exhibit	exhibit	VERB
fsr-3727	593	10	15.1	15.1	NUM
fsr-3727	593	11	,	,	PUNCT
fsr-3727	593	12	p.	p.	NOUN
fsr-3727	593	13	541	541	NUM
fsr-3727	593	14	)	)	PUNCT
fsr-3727	593	15	and	and	CCONJ
fsr-3727	593	16	turner	turner	PROPN
fsr-3727	593	17	,	,	PUNCT
fsr-3727	593	18	le	le	X
fsr-3727	593	19	rossignol	rossignol	NOUN
fsr-3727	593	20	,	,	PUNCT
fsr-3727	593	21	rinfret	rinfret	NOUN
fsr-3727	593	22	,	,	PUNCT
fsr-3727	593	23	and	and	CCONJ
fsr-3727	593	24	daw	daw	PROPN
fsr-3727	593	25	(	(	PUNCT
fsr-3727	593	26	1991	1991	NUM
fsr-3727	593	27	,	,	PUNCT
fsr-3727	593	28	form	form	NOUN
fsr-3727	593	29	27	27	NUM
fsr-3727	593	30	,	,	PUNCT
fsr-3727	593	31	p.	p.	NOUN
fsr-3727	593	32	115	115	NUM
fsr-3727	593	33	)	)	PUNCT
fsr-3727	593	34	make	make	VERB
fsr-3727	593	35	the	the	DET
fsr-3727	593	36	mistake	mistake	NOUN
fsr-3727	593	37	of	of	ADP
fsr-3727	593	38	capitalizing	capitalize	VERB
fsr-3727	593	39	a	a	DET
fsr-3727	593	40	constant	constant	ADJ
fsr-3727	593	41	dollar	dollar	NOUN
fsr-3727	593	42	value	value	NOUN
fsr-3727	593	43	using	use	VERB
fsr-3727	593	44	a	a	DET
fsr-3727	593	45	nominal	nominal	ADJ
fsr-3727	593	46	discount	discount	NOUN
fsr-3727	593	47	rate	rate	NOUN
fsr-3727	593	48	,	,	PUNCT
fsr-3727	593	49	which	which	PRON
fsr-3727	593	50	yields	yield	VERB
fsr-3727	593	51	too	too	ADV
fsr-3727	593	52	low	low	ADJ
fsr-3727	593	53	an	an	DET
fsr-3727	593	54	estimate	estimate	NOUN
fsr-3727	593	55	of	of	ADP
fsr-3727	593	56	required	required	ADJ
fsr-3727	593	57	savings	saving	NOUN
fsr-3727	593	58	.	.	PUNCT
fsr-3727	594	1	this	this	DET
fsr-3727	594	2	error	error	NOUN
fsr-3727	594	3	seems	seem	VERB
fsr-3727	594	4	common	common	ADJ
fsr-3727	594	5	among	among	ADP
fsr-3727	594	6	financial	financial	ADJ
fsr-3727	594	7	planners	planner	NOUN
fsr-3727	594	8	.	.	PUNCT
fsr-3727	595	1	3	3	X
fsr-3727	595	2	.	.	X
fsr-3727	595	3	financial	financial	ADJ
fsr-3727	595	4	planners	planner	NOUN
fsr-3727	595	5	generally	generally	ADV
fsr-3727	595	6	seem	seem	VERB
fsr-3727	595	7	to	to	PART
fsr-3727	595	8	assume	assume	VERB
fsr-3727	595	9	that	that	SCONJ
fsr-3727	595	10	a	a	DET
fsr-3727	595	11	perpetual	perpetual	ADJ
fsr-3727	595	12	dollar	dollar	NOUN
fsr-3727	595	13	return	return	NOUN
fsr-3727	595	14	equal	equal	ADJ
fsr-3727	595	15	to	to	ADP
fsr-3727	595	16	consumption	consumption	NOUN
fsr-3727	595	17	is	be	AUX
fsr-3727	595	18	required	require	VERB
fsr-3727	595	19	,	,	PUNCT
fsr-3727	595	20	explicitly	explicitly	ADV
fsr-3727	595	21	ignoring	ignore	VERB
fsr-3727	595	22	the	the	DET
fsr-3727	595	23	possibility	possibility	NOUN
fsr-3727	595	24	of	of	ADP
fsr-3727	595	25	consuming	consume	VERB
fsr-3727	595	26	capital	capital	NOUN
fsr-3727	595	27	over	over	ADP
fsr-3727	595	28	time	time	NOUN
fsr-3727	595	29	.	.	PUNCT
fsr-3727	596	1	see	see	VERB
fsr-3727	596	2	previous	previous	ADJ
fsr-3727	596	3	note	note	NOUN
fsr-3727	596	4	for	for	ADP
fsr-3727	596	5	two	two	NUM
fsr-3727	596	6	examples	example	NOUN
fsr-3727	596	7	.	.	PUNCT
fsr-3727	597	1	this	this	DET
fsr-3727	597	2	error	error	NOUN
fsr-3727	597	3	overstates	overstate	VERB
fsr-3727	597	4	the	the	DET
fsr-3727	597	5	savings	saving	NOUN
fsr-3727	597	6	required	require	VERB
fsr-3727	597	7	,	,	PUNCT
fsr-3727	597	8	and	and	CCONJ
fsr-3727	597	9	thus	thus	ADV
fsr-3727	597	10	the	the	DET
fsr-3727	597	11	two	two	NUM
fsr-3727	597	12	errors	error	NOUN
fsr-3727	597	13	offset	offset	VERB
fsr-3727	597	14	to	to	ADP
fsr-3727	597	15	some	some	DET
fsr-3727	597	16	extent	extent	NOUN
fsr-3727	597	17	.	.	PUNCT
fsr-3727	598	1	4	4	X
fsr-3727	598	2	.	.	X
fsr-3727	598	3	see	see	VERB
fsr-3727	598	4	,	,	PUNCT
fsr-3727	598	5	for	for	ADP
fsr-3727	598	6	example	example	NOUN
fsr-3727	598	7	,	,	PUNCT
fsr-3727	598	8	benari	benari	PROPN
fsr-3727	598	9	(	(	PUNCT
fsr-3727	598	10	1990	1990	NUM
fsr-3727	598	11	)	)	PUNCT
fsr-3727	598	12	,	,	PUNCT
fsr-3727	598	13	butler	butler	NOUN
fsr-3727	598	14	and	and	CCONJ
fsr-3727	598	15	domian	domian	PROPN
fsr-3727	598	16	(	(	PUNCT
fsr-3727	598	17	1991	1991	NUM
fsr-3727	598	18	)	)	PUNCT
fsr-3727	598	19	,	,	PUNCT
fsr-3727	598	20	grauer	grauer	PROPN
fsr-3727	598	21	and	and	CCONJ
fsr-3727	598	22	hakans	hakans	PROPN
fsr-3727	598	23	son	son	PROPN
fsr-3727	598	24	(	(	PUNCT
fsr-3727	598	25	1982	1982	NUM
fsr-3727	598	26	)	)	PUNCT
fsr-3727	598	27	and	and	CCONJ
fsr-3727	598	28	lloyd	lloyd	PROPN
fsr-3727	598	29	and	and	CCONJ
fsr-3727	598	30	modani	modani	PROPN
fsr-3727	598	31	(	(	PUNCT
fsr-3727	598	32	1983	1983	NUM
fsr-3727	598	33	)	)	PUNCT
fsr-3727	598	34	.	.	PUNCT
fsr-3727	599	1	5	5	X
fsr-3727	599	2	.	.	X
fsr-3727	599	3	in	in	ADP
fsr-3727	599	4	retirement	retirement	NOUN
fsr-3727	599	5	planning	planning	NOUN
fsr-3727	599	6	,	,	PUNCT
fsr-3727	599	7	the	the	DET
fsr-3727	599	8	usual	usual	ADJ
fsr-3727	599	9	approach	approach	NOUN
fsr-3727	599	10	is	be	AUX
fsr-3727	599	11	to	to	PART
fsr-3727	599	12	have	have	VERB
fsr-3727	599	13	the	the	DET
fsr-3727	599	14	retiree	retiree	NOUN
fsr-3727	599	15	define	define	VERB
fsr-3727	599	16	the	the	DET
fsr-3727	599	17	lifestyle	lifestyle	NOUN
fsr-3727	599	18	they	they	PRON
fsr-3727	599	19	want	want	VERB
fsr-3727	599	20	and	and	CCONJ
fsr-3727	599	21	then	then	ADV
fsr-3727	599	22	price	price	VERB
fsr-3727	599	23	each	each	DET
fsr-3727	599	24	expenditure	expenditure	NOUN
fsr-3727	599	25	of	of	ADP
fsr-3727	599	26	that	that	DET
fsr-3727	599	27	lifestyle	lifestyle	NOUN
fsr-3727	599	28	.	.	PUNCT
fsr-3727	600	1	the	the	DET
fsr-3727	600	2	total	total	ADJ
fsr-3727	600	3	expenditure	expenditure	NOUN
fsr-3727	600	4	required	require	VERB
fsr-3727	600	5	to	to	PART
fsr-3727	600	6	achieve	achieve	VERB
fsr-3727	600	7	the	the	DET
fsr-3727	600	8	desired	desire	VERB
fsr-3727	600	9	lifestyle	lifestyle	NOUN
fsr-3727	600	10	in	in	ADP
fsr-3727	600	11	each	each	DET
fsr-3727	600	12	year	year	NOUN
fsr-3727	600	13	is	be	AUX
fsr-3727	600	14	c	c	NOUN
fsr-3727	600	15	,	,	PUNCT
fsr-3727	600	16	.	.	PUNCT
fsr-3727	601	1	the	the	DET
fsr-3727	601	2	value	value	NOUN
fsr-3727	601	3	of	of	ADP
fsr-3727	601	4	c	c	NOUN
fsr-3727	601	5	,	,	PUNCT
fsr-3727	601	6	can	can	AUX
fsr-3727	601	7	range	range	VERB
fsr-3727	601	8	from	from	ADP
fsr-3727	601	9	bare	bare	ADJ
fsr-3727	601	10	subsistence	subsistence	NOUN
fsr-3727	601	11	to	to	ADP
fsr-3727	601	12	great	great	ADJ
fsr-3727	601	13	luxury	luxury	NOUN
fsr-3727	601	14	,	,	PUNCT
fsr-3727	601	15	provided	provide	VERB
fsr-3727	601	16	it	it	PRON
fsr-3727	601	17	is	be	AUX
fsr-3727	601	18	feasible	feasible	ADJ
fsr-3727	601	19	.	.	PUNCT
fsr-3727	602	1	6	6	X
fsr-3727	602	2	.	.	X
fsr-3727	602	3	if	if	SCONJ
fsr-3727	602	4	inflation	inflation	NOUN
fsr-3727	602	5	is	be	AUX
fsr-3727	602	6	certain	certain	ADJ
fsr-3727	602	7	,	,	PUNCT
fsr-3727	602	8	then	then	ADV
fsr-3727	602	9	we	we	PRON
fsr-3727	602	10	can	can	AUX
fsr-3727	602	11	convert	convert	VERB
fsr-3727	602	12	real	real	ADJ
fsr-3727	602	13	to	to	ADP
fsr-3727	602	14	nominal	nominal	ADJ
fsr-3727	602	15	returns	return	NOUN
fsr-3727	602	16	using	use	VERB
fsr-3727	602	17	the	the	DET
fsr-3727	602	18	fisher	fisher	PROPN
fsr-3727	602	19	equation	equation	NOUN
fsr-3727	602	20	without	without	ADP
fsr-3727	602	21	affecting	affect	VERB
fsr-3727	602	22	the	the	DET
fsr-3727	602	23	analysis	analysis	NOUN
fsr-3727	602	24	.	.	PUNCT
fsr-3727	603	1	we	we	PRON
fsr-3727	603	2	do	do	AUX
fsr-3727	603	3	not	not	PART
fsr-3727	603	4	consider	consider	VERB
fsr-3727	603	5	uncertain	uncertain	ADJ
fsr-3727	603	6	inflation	inflation	NOUN
fsr-3727	603	7	.	.	PUNCT
fsr-3727	604	1	7	7	X
fsr-3727	604	2	.	.	X
fsr-3727	604	3	the	the	DET
fsr-3727	604	4	long	long	ADV
fsr-3727	604	5	-	-	PUNCT
fsr-3727	604	6	run	run	VERB
fsr-3727	604	7	historical	historical	ADJ
fsr-3727	604	8	experience	experience	NOUN
fsr-3727	604	9	in	in	ADP
fsr-3727	604	10	canada	canada	PROPN
fsr-3727	604	11	is	be	AUX
fsr-3727	604	12	actually	actually	ADV
fsr-3727	604	13	a	a	DET
fsr-3727	604	14	rate	rate	NOUN
fsr-3727	604	15	lower	low	ADJ
fsr-3727	604	16	than	than	ADP
fsr-3727	604	17	the	the	DET
fsr-3727	604	18	t	t	PROPN
fsr-3727	604	19	-	-	PUNCT
fsr-3727	604	20	bill	bill	NOUN
fsr-3727	604	21	rate	rate	NOUN
fsr-3727	604	22	,	,	PUNCT
fsr-3727	604	23	but	but	CCONJ
fsr-3727	604	24	this	this	PRON
fsr-3727	604	25	is	be	AUX
fsr-3727	604	26	surely	surely	ADV
fsr-3727	604	27	not	not	PART
fsr-3727	604	28	a	a	DET
fsr-3727	604	29	good	good	ADJ
fsr-3727	604	30	basis	basis	NOUN
fsr-3727	604	31	for	for	ADP
fsr-3727	604	32	an	an	DET
fsr-3727	604	33	expected	expect	VERB
fsr-3727	604	34	rate	rate	NOUN
fsr-3727	604	35	.	.	PUNCT
fsr-3727	605	1	8	8	X
fsr-3727	605	2	.	.	X
fsr-3727	606	1	if	if	SCONJ
fsr-3727	606	2	the	the	DET
fsr-3727	606	3	pension	pension	NOUN
fsr-3727	606	4	is	be	AUX
fsr-3727	606	5	indexed	index	VERB
fsr-3727	606	6	,	,	PUNCT
fsr-3727	606	7	then	then	ADV
fsr-3727	606	8	everything	everything	PRON
fsr-3727	606	9	can	can	AUX
fsr-3727	606	10	be	be	AUX
fsr-3727	606	11	treated	treat	VERB
fsr-3727	606	12	in	in	ADP
fsr-3727	606	13	real	real	ADJ
fsr-3727	606	14	terms	term	NOUN
fsr-3727	606	15	,	,	PUNCT
fsr-3727	606	16	as	as	ADP
fsr-3727	606	17	in	in	ADP
fsr-3727	606	18	equation	equation	NOUN
fsr-3727	606	19	(	(	PUNCT
fsr-3727	606	20	2	2	NUM
fsr-3727	606	21	)	)	PUNCT
fsr-3727	606	22	.	.	PUNCT
fsr-3727	607	1	if	if	SCONJ
fsr-3727	607	2	the	the	DET
fsr-3727	607	3	pension	pension	NOUN
fsr-3727	607	4	is	be	AUX
fsr-3727	607	5	unindexed	unindexe	VERB
fsr-3727	607	6	,	,	PUNCT
fsr-3727	607	7	then	then	ADV
fsr-3727	607	8	it	it	PRON
fsr-3727	607	9	pays	pay	VERB
fsr-3727	607	10	in	in	ADP
fsr-3727	607	11	nominal	nominal	ADJ
fsr-3727	607	12	dollars	dollar	NOUN
fsr-3727	607	13	,	,	PUNCT
fsr-3727	607	14	and	and	CCONJ
fsr-3727	607	15	equation	equation	NOUN
fsr-3727	607	16	(	(	PUNCT
fsr-3727	607	17	1	1	X
fsr-3727	607	18	)	)	PUNCT
fsr-3727	607	19	is	be	AUX
fsr-3727	607	20	appropriate	appropriate	ADJ
fsr-3727	607	21	.	.	PUNCT
fsr-3727	608	1	9	9	X
fsr-3727	608	2	.	.	X
fsr-3727	608	3	that	that	PRON
fsr-3727	608	4	is	is	ADV
fsr-3727	608	5	,	,	PUNCT
fsr-3727	608	6	the	the	DET
fsr-3727	608	7	probability	probability	NOUN
fsr-3727	608	8	that	that	SCONJ
fsr-3727	608	9	a	a	DET
fsr-3727	608	10	standard	standard	ADJ
fsr-3727	608	11	normal	normal	ADJ
fsr-3727	608	12	random	random	ADJ
fsr-3727	608	13	variable	variable	NOUN
fsr-3727	608	14	will	will	AUX
fsr-3727	608	15	take	take	VERB
fsr-3727	608	16	on	on	ADP
fsr-3727	608	17	a	a	DET
fsr-3727	608	18	value	value	NOUN
fsr-3727	608	19	less	less	ADJ
fsr-3727	608	20	than	than	ADP
fsr-3727	608	21	or	or	CCONJ
fsr-3727	608	22	equal	equal	ADJ
fsr-3727	608	23	to	to	PART
fsr-3727	608	24	u.	u.	VERB
fsr-3727	608	25	graphically	graphically	ADV
fsr-3727	608	26	,	,	PUNCT
fsr-3727	608	27	it	it	PRON
fsr-3727	608	28	is	be	AUX
fsr-3727	608	29	the	the	DET
fsr-3727	608	30	area	area	NOUN
fsr-3727	608	31	under	under	ADP
fsr-3727	608	32	the	the	DET
fsr-3727	608	33	p.d.f	p.d.f	NOUN
fsr-3727	608	34	.	.	PUNCT
fsr-3727	609	1	from	from	ADP
fsr-3727	609	2	u	u	PRON
fsr-3727	609	3	to	to	ADP
fsr-3727	609	4	negative	negative	ADJ
fsr-3727	609	5	infinity	infinity	NOUN
fsr-3727	609	6	.	.	PUNCT
fsr-3727	610	1	126	126	NUM
fsr-3727	610	2	financial	financial	ADJ
fsr-3727	610	3	services	service	NOUN
fsr-3727	610	4	review	review	NOUN
fsr-3727	610	5	,	,	PUNCT
fsr-3727	610	6	3(2	3(2	NUM
fsr-3727	610	7	)	)	PUNCT
fsr-3727	610	8	1994	1994	NUM
fsr-3727	610	9	references	reference	NOUN
fsr-3727	610	10	benari	benari	PROPN
fsr-3727	610	11	,	,	PUNCT
fsr-3727	610	12	y.	y.	PROPN
fsr-3727	610	13	(	(	PUNCT
fsr-3727	610	14	1990	1990	NUM
fsr-3727	610	15	)	)	PUNCT
fsr-3727	610	16	.	.	PUNCT
fsr-3727	611	1	optimal	optimal	ADJ
fsr-3727	611	2	asset	asset	NOUN
fsr-3727	611	3	mix	mix	NOUN
fsr-3727	611	4	and	and	CCONJ
fsr-3727	611	5	its	its	PRON
fsr-3727	611	6	link	link	NOUN
fsr-3727	611	7	to	to	ADP
fsr-3727	611	8	changing	change	VERB
fsr-3727	611	9	fundamental	fundamental	ADJ
fsr-3727	611	10	factors	factor	NOUN
fsr-3727	611	11	.	.	PUNCT
fsr-3727	612	1	the	the	DET
fsr-3727	612	2	journal	journal	PROPN
fsr-3727	612	3	of	of	ADP
fsr-3727	612	4	portfolio	portfolio	NOUN
fsr-3727	612	5	management	management	NOUN
fsr-3727	612	6	(	(	PUNCT
fsr-3727	612	7	winter	winter	NOUN
fsr-3727	612	8	)	)	PUNCT
fsr-3727	612	9	,	,	PUNCT
fsr-3727	612	10	1	1	NUM
fsr-3727	612	11	l	l	NOUN
fsr-3727	612	12	-	-	NOUN
fsr-3727	612	13	l	l	ADJ
fsr-3727	612	14	8	8	NUM
fsr-3727	612	15	.	.	PUNCT
fsr-3727	612	16	butler	butler	PROPN
fsr-3727	612	17	,	,	PUNCT
fsr-3727	612	18	k.	k.	PROPN
fsr-3727	612	19	,	,	PUNCT
fsr-3727	612	20	&	&	CCONJ
fsr-3727	612	21	domian	domian	PROPN
fsr-3727	612	22	,	,	PUNCT
fsr-3727	612	23	d.	d.	PROPN
fsr-3727	612	24	(	(	PUNCT
fsr-3727	612	25	1993	1993	NUM
fsr-3727	612	26	)	)	PUNCT
fsr-3727	612	27	.	.	PUNCT
fsr-3727	613	1	long	long	ADV
fsr-3727	613	2	-	-	PUNCT
fsr-3727	613	3	run	run	NOUN
fsr-3727	613	4	returns	return	NOUN
fsr-3727	613	5	on	on	ADP
fsr-3727	613	6	stock	stock	NOUN
fsr-3727	613	7	and	and	CCONJ
fsr-3727	613	8	bond	bond	NOUN
fsr-3727	613	9	portfolios	portfolio	NOUN
fsr-3727	613	10	:	:	PUNCT
fsr-3727	613	11	implica	implica	PROPN
fsr-3727	613	12	tions	tion	NOUN
fsr-3727	613	13	for	for	ADP
fsr-3727	613	14	retirement	retirement	NOUN
fsr-3727	613	15	planning	planning	NOUN
fsr-3727	613	16	.	.	PUNCT
fsr-3727	614	1	financial	financial	ADJ
fsr-3727	614	2	services	service	NOUN
fsr-3727	614	3	review	review	NOUN
fsr-3727	614	4	,	,	PUNCT
fsr-3727	614	5	z(l	z(l	PROPN
fsr-3727	614	6	)	)	PUNCT
fsr-3727	614	7	,	,	PUNCT
fsr-3727	614	8	41	41	NUM
fsr-3727	614	9	-	-	SYM
fsr-3727	614	10	49	49	NUM
fsr-3727	614	11	.	.	PUNCT
fsr-3727	615	1	butler	butler	PROPN
fsr-3727	615	2	,	,	PUNCT
fsr-3727	615	3	k.	k.	PROPN
fsr-3727	615	4	,	,	PUNCT
fsr-3727	615	5	&	&	CCONJ
fsr-3727	615	6	domian	domian	PROPN
fsr-3727	615	7	,	,	PUNCT
fsr-3727	615	8	d.	d.	PROPN
fsr-3727	615	9	(	(	PUNCT
fsr-3727	615	10	1991	1991	NUM
fsr-3727	615	11	)	)	PUNCT
fsr-3727	615	12	.	.	PUNCT
fsr-3727	616	1	risk	risk	NOUN
fsr-3727	616	2	,	,	PUNCT
fsr-3727	616	3	diversification	diversification	NOUN
fsr-3727	616	4	,	,	PUNCT
fsr-3727	616	5	and	and	CCONJ
fsr-3727	616	6	the	the	DET
fsr-3727	616	7	investment	investment	NOUN
fsr-3727	616	8	horizon	horizon	NOUN
fsr-3727	616	9	.	.	PUNCT
fsr-3727	617	1	the	the	DET
fsr-3727	617	2	journal	journal	PROPN
fsr-3727	617	3	of	of	ADP
fsr-3727	617	4	portfolio	portfolio	NOUN
fsr-3727	617	5	management	management	NOUN
fsr-3727	617	6	(	(	PUNCT
fsr-3727	617	7	spring	spring	PROPN
fsr-3727	617	8	)	)	PUNCT
fsr-3727	617	9	,	,	PUNCT
fsr-3727	617	10	41	41	NUM
fsr-3727	617	11	-	-	SYM
fsr-3727	617	12	47	47	NUM
fsr-3727	617	13	.	.	PUNCT
fsr-3727	618	1	gitman	gitman	PROPN
fsr-3727	618	2	,	,	PUNCT
fsr-3727	618	3	l.	l.	PROPN
fsr-3727	618	4	,	,	PUNCT
fsr-3727	618	5	&	&	CCONJ
fsr-3727	618	6	joehnk	joehnk	PROPN
fsr-3727	618	7	,	,	PUNCT
fsr-3727	618	8	m.	m.	NOUN
fsr-3727	618	9	(	(	PUNCT
fsr-3727	618	10	1990	1990	NUM
fsr-3727	618	11	)	)	PUNCT
fsr-3727	618	12	.	.	PUNCT
fsr-3727	619	1	personal	personal	ADJ
fsr-3727	619	2	financial	financial	ADJ
fsr-3727	619	3	planning	planning	NOUN
fsr-3727	619	4	(	(	PUNCT
fsr-3727	619	5	5th	5th	ADJ
fsr-3727	619	6	ed	ed	NOUN
fsr-3727	619	7	.	.	PUNCT
fsr-3727	619	8	)	)	PUNCT
fsr-3727	619	9	.	.	PUNCT
fsr-3727	620	1	new	new	PROPN
fsr-3727	620	2	york	york	PROPN
fsr-3727	620	3	:	:	PUNCT
fsr-3727	620	4	dryden	dryden	PROPN
fsr-3727	620	5	press	press	PROPN
fsr-3727	620	6	.	.	PUNCT
fsr-3727	621	1	grauer	grauer	PROPN
fsr-3727	621	2	,	,	PUNCT
fsr-3727	621	3	r.	r.	PROPN
fsr-3727	621	4	,	,	PUNCT
fsr-3727	621	5	&	&	CCONJ
fsr-3727	621	6	hakansson	hakansson	PROPN
fsr-3727	621	7	,	,	PUNCT
fsr-3727	621	8	n.	n.	PROPN
fsr-3727	621	9	(	(	PUNCT
fsr-3727	621	10	1982	1982	NUM
fsr-3727	621	11	)	)	PUNCT
fsr-3727	621	12	.	.	PUNCT
fsr-3727	622	1	higher	high	ADJ
fsr-3727	622	2	return	return	NOUN
fsr-3727	622	3	,	,	PUNCT
fsr-3727	622	4	lower	low	ADJ
fsr-3727	622	5	risk	risk	NOUN
fsr-3727	622	6	:	:	PUNCT
fsr-3727	622	7	historical	historical	ADJ
fsr-3727	622	8	returns	return	NOUN
fsr-3727	622	9	on	on	ADP
fsr-3727	622	10	long	long	ADV
fsr-3727	622	11	-	-	PUNCT
fsr-3727	622	12	run	run	VERB
fsr-3727	622	13	,	,	PUNCT
fsr-3727	622	14	actively	actively	ADV
fsr-3727	622	15	-	-	PUNCT
fsr-3727	622	16	managed	manage	VERB
fsr-3727	622	17	portfolios	portfolio	NOUN
fsr-3727	622	18	of	of	ADP
fsr-3727	622	19	stocks	stock	NOUN
fsr-3727	622	20	,	,	PUNCT
fsr-3727	622	21	bonds	bond	NOUN
fsr-3727	622	22	and	and	CCONJ
fsr-3727	622	23	bills	bill	NOUN
fsr-3727	622	24	,	,	PUNCT
fsr-3727	622	25	1936	1936	NUM
fsr-3727	622	26	-	-	SYM
fsr-3727	622	27	1978	1978	NUM
fsr-3727	622	28	.	.	PUNCT
fsr-3727	623	1	finan	finan	PROPN
fsr-3727	623	2	cial	cial	ADJ
fsr-3727	623	3	analysis	analysis	NOUN
fsr-3727	623	4	journal	journal	NOUN
fsr-3727	623	5	(	(	PUNCT
fsr-3727	623	6	march	march	PROPN
fsr-3727	623	7	-	-	PUNCT
fsr-3727	623	8	april	april	PROPN
fsr-3727	623	9	)	)	PUNCT
fsr-3727	623	10	,	,	PUNCT
fsr-3727	623	11	39	39	NUM
fsr-3727	623	12	-	-	SYM
fsr-3727	623	13	53	53	NUM
fsr-3727	623	14	.	.	PUNCT
fsr-3727	624	1	hatch	hatch	PROPN
fsr-3727	624	2	,	,	PUNCT
fsr-3727	624	3	j.	j.	PROPN
fsr-3727	624	4	,	,	PUNCT
fsr-3727	624	5	&	&	CCONJ
fsr-3727	624	6	white	white	PROPN
fsr-3727	624	7	,	,	PUNCT
fsr-3727	624	8	r.	r.	PROPN
fsr-3727	624	9	(	(	PUNCT
fsr-3727	624	10	1988	1988	NUM
fsr-3727	624	11	)	)	PUNCT
fsr-3727	624	12	.	.	PUNCT
fsr-3727	625	1	canadian	canadian	ADJ
fsr-3727	625	2	stocks	stock	NOUN
fsr-3727	625	3	,	,	PUNCT
fsr-3727	625	4	bonds	bond	NOUN
fsr-3727	625	5	,	,	PUNCT
fsr-3727	625	6	and	and	CCONJ
fsr-3727	625	7	inflation	inflation	NOUN
fsr-3727	625	8	,	,	PUNCT
fsr-3727	625	9	1950	1950	NUM
fsr-3727	625	10	-	-	SYM
fsr-3727	625	11	87	87	NUM
fsr-3727	625	12	.	.	PUNCT
fsr-3727	626	1	research	research	NOUN
fsr-3727	626	2	foundation	foundation	PROPN
fsr-3727	626	3	of	of	ADP
fsr-3727	626	4	the	the	DET
fsr-3727	626	5	institute	institute	PROPN
fsr-3727	626	6	of	of	ADP
fsr-3727	626	7	chartered	chartered	ADJ
fsr-3727	626	8	financial	financial	ADJ
fsr-3727	626	9	analysts	analyst	NOUN
fsr-3727	626	10	.	.	PUNCT
fsr-3727	627	1	leibowitz	leibowitz	PROPN
fsr-3727	627	2	,	,	PUNCT
fsr-3727	627	3	m.	m.	NOUN
fsr-3727	627	4	,	,	PUNCT
fsr-3727	627	5	&	&	CCONJ
fsr-3727	627	6	kogelman	kogelman	PROPN
fsr-3727	627	7	,	,	PUNCT
fsr-3727	627	8	5	5	NUM
fsr-3727	627	9	.	.	PUNCT
fsr-3727	627	10	(	(	PUNCT
fsr-3727	627	11	1991	1991	NUM
fsr-3727	627	12	)	)	PUNCT
fsr-3727	627	13	.	.	PUNCT
fsr-3727	628	1	asset	asset	NOUN
fsr-3727	628	2	allocation	allocation	NOUN
fsr-3727	628	3	under	under	ADP
fsr-3727	628	4	shortfall	shortfall	NOUN
fsr-3727	628	5	constraints	constraint	NOUN
fsr-3727	628	6	.	.	PUNCT
fsr-3727	629	1	the	the	DET
fsr-3727	629	2	journal	journal	PROPN
fsr-3727	629	3	of	of	ADP
fsr-3727	629	4	portfolio	portfolio	NOUN
fsr-3727	629	5	management	management	NOUN
fsr-3727	629	6	(	(	PUNCT
fsr-3727	629	7	winter	winter	NOUN
fsr-3727	629	8	)	)	PUNCT
fsr-3727	629	9	,	,	PUNCT
fsr-3727	629	10	18	18	NUM
fsr-3727	629	11	-	-	SYM
fsr-3727	629	12	23	23	NUM
fsr-3727	629	13	.	.	PUNCT
fsr-3727	630	1	life	life	NOUN
fsr-3727	630	2	tables	table	NOUN
fsr-3727	630	3	,	,	PUNCT
fsr-3727	630	4	canada	canada	PROPN
fsr-3727	630	5	,	,	PUNCT
fsr-3727	630	6	andprovinces	andprovince	VERB
fsr-3727	630	7	198.5	198.5	NUM
fsr-3727	630	8	-	-	SYM
fsr-3727	630	9	871canl	871canl	PROPN
fsr-3727	630	10	cs8.5	cs8.5	ADP
fsr-3727	630	11	82	82	NUM
fsr-3727	630	12	-	-	PUNCT
fsr-3727	630	13	0038	0038	NUM
fsr-3727	630	14	,	,	PUNCT
fsr-3727	630	15	no	no	INTJ
fsr-3727	630	16	.	.	NOUN
fsr-3727	631	1	131	131	NUM
fsr-3727	631	2	.	.	PUNCT
fsr-3727	632	1	health	health	NOUN
fsr-3727	632	2	reports	report	NOUN
fsr-3727	632	3	supplement	supplement	NOUN
fsr-3727	632	4	,	,	PUNCT
fsr-3727	632	5	vol	vol	NOUN
fsr-3727	632	6	.	.	PROPN
fsr-3727	632	7	2	2	NUM
fsr-3727	632	8	,	,	PUNCT
fsr-3727	632	9	no	no	INTJ
fsr-3727	632	10	.	.	NOUN
fsr-3727	632	11	4	4	X
fsr-3727	632	12	.	.	X
fsr-3727	632	13	ottawa	ottawa	PROPN
fsr-3727	632	14	,	,	PUNCT
fsr-3727	632	15	1990	1990	NUM
fsr-3727	632	16	:	:	PUNCT
fsr-3727	632	17	statistics	statistics	PROPN
fsr-3727	632	18	canada	canada	PROPN
fsr-3727	632	19	.	.	PUNCT
fsr-3727	633	1	lloyd	lloyd	PROPN
fsr-3727	633	2	,	,	PUNCT
fsr-3727	633	3	w.	w.	PROPN
fsr-3727	633	4	,	,	PUNCT
fsr-3727	633	5	&	&	CCONJ
fsr-3727	633	6	modani	modani	PROPN
fsr-3727	633	7	,	,	PUNCT
fsr-3727	633	8	n.	n.	NOUN
fsr-3727	633	9	stocks	stock	NOUN
fsr-3727	633	10	,	,	PUNCT
fsr-3727	633	11	bonds	bond	NOUN
fsr-3727	633	12	,	,	PUNCT
fsr-3727	633	13	bills	bill	NOUN
fsr-3727	633	14	and	and	CCONJ
fsr-3727	633	15	time	time	NOUN
fsr-3727	633	16	diversification	diversification	NOUN
fsr-3727	633	17	.	.	PUNCT
fsr-3727	634	1	the	the	DET
fsr-3727	634	2	journal	journal	PROPN
fsr-3727	634	3	of	of	ADP
fsr-3727	634	4	portfolio	portfolio	NOUN
fsr-3727	634	5	management	management	NOUN
fsr-3727	634	6	(	(	PUNCT
fsr-3727	634	7	spring	spring	PROPN
fsr-3727	634	8	)	)	PUNCT
fsr-3727	634	9	,	,	PUNCT
fsr-3727	634	10	7	7	NUM
fsr-3727	634	11	-	-	PUNCT
fsr-3727	634	12	l	l	NOUN
fsr-3727	634	13	1	1	NUM
fsr-3727	634	14	.	.	X
fsr-3727	634	15	malkiel	malkiel	PROPN
fsr-3727	634	16	,	,	PUNCT
fsr-3727	634	17	b.	b.	PROPN
fsr-3727	634	18	(	(	PUNCT
fsr-3727	634	19	1990	1990	NUM
fsr-3727	634	20	)	)	PUNCT
fsr-3727	634	21	.	.	PUNCT
fsr-3727	635	1	a	a	DET
fsr-3727	635	2	random	random	ADJ
fsr-3727	635	3	walk	walk	NOUN
fsr-3727	635	4	down	down	ADP
fsr-3727	635	5	wall	wall	PROPN
fsr-3727	635	6	street	street	PROPN
fsr-3727	635	7	.	.	PUNCT
fsr-3727	636	1	new	new	PROPN
fsr-3727	636	2	york	york	PROPN
fsr-3727	636	3	:	:	PUNCT
fsr-3727	636	4	w.	w.	PROPN
fsr-3727	636	5	w.	w.	PROPN
fsr-3727	636	6	norton	norton	PROPN
fsr-3727	636	7	and	and	CCONJ
fsr-3727	636	8	company	company	NOUN
fsr-3727	636	9	.	.	PUNCT
fsr-3727	637	1	turner	turner	PROPN
fsr-3727	637	2	,	,	PUNCT
fsr-3727	637	3	m.	m.	NOUN
fsr-3727	637	4	,	,	PUNCT
fsr-3727	637	5	le	le	X
fsr-3727	637	6	rossignol	rossignol	PROPN
fsr-3727	637	7	,	,	PUNCT
fsr-3727	637	8	d.	d.	PROPN
fsr-3727	637	9	,	,	PUNCT
fsr-3727	637	10	rinfret	rinfret	NOUN
fsr-3727	637	11	,	,	PUNCT
fsr-3727	637	12	c.	c.	PROPN
fsr-3727	637	13	,	,	PUNCT
fsr-3727	637	14	&	&	CCONJ
fsr-3727	637	15	daw	daw	PROPN
fsr-3727	637	16	,	,	PUNCT
fsr-3727	637	17	r.	r.	PROPN
fsr-3727	637	18	(	(	PUNCT
fsr-3727	637	19	1991	1991	NUM
fsr-3727	637	20	)	)	PUNCT
fsr-3727	637	21	.	.	PUNCT
fsr-3727	638	1	canadian	canadian	ADJ
fsr-3727	638	2	guide	guide	NOUN
fsr-3727	638	3	to	to	ADP
fsr-3727	638	4	personal	personal	ADJ
fsr-3727	638	5	financial	financial	ADJ
fsr-3727	638	6	management	management	NOUN
fsr-3727	638	7	(	(	PUNCT
fsr-3727	638	8	6th	6th	ADJ
fsr-3727	638	9	ed	ed	NOUN
fsr-3727	638	10	.	.	PUNCT
fsr-3727	638	11	)	)	PUNCT
fsr-3727	638	12	.	.	PUNCT
fsr-3727	639	1	toronto	toronto	PROPN
fsr-3727	639	2	:	:	PUNCT
fsr-3727	639	3	prentice	prentice	PROPN
fsr-3727	639	4	hall	hall	PROPN
fsr-3727	639	5	canada	canada	PROPN
fsr-3727	639	6	.	.	PUNCT
