id	sid	tid	token	lemma	pos
fsr-3737	1	1	pii	pii	PROPN
fsr-3737	1	2	:	:	PUNCT
fsr-3737	1	3	1057	1057	NUM
fsr-3737	1	4	-	-	SYM
fsr-3737	1	5	0810(95)90016	0810(95)90016	NUM
fsr-3737	1	6	-	-	PUNCT
fsr-3737	1	7	0	0	NUM
fsr-3737	1	8	financial	financial	ADJ
fsr-3737	1	9	services	service	NOUN
fsr-3737	1	10	review	review	NOUN
fsr-3737	1	11	,	,	PUNCT
fsr-3737	1	12	4(l	4(l	NUM
fsr-3737	1	13	):	):	PUNCT
fsr-3737	1	14	31	31	NUM
fsr-3737	1	15	-	-	SYM
fsr-3737	1	16	40	40	NUM
fsr-3737	1	17	copyright	copyright	NOUN
fsr-3737	1	18	0	0	NUM
fsr-3737	1	19	1995	1995	NUM
fsr-3737	1	20	by	by	ADP
fsr-3737	1	21	jai	jai	PROPN
fsr-3737	1	22	press	press	PROPN
fsr-3737	1	23	inc	inc	PROPN
fsr-3737	1	24	.	.	PROPN
fsr-3737	1	25	issn	issn	PROPN
fsr-3737	1	26	:	:	PUNCT
fsr-3737	1	27	1057	1057	NUM
fsr-3737	1	28	-	-	SYM
fsr-3737	1	29	0810	0810	NUM
fsr-3737	1	30	ai1	ai1	VERB
fsr-3737	1	31	rights	right	NOUN
fsr-3737	1	32	of	of	ADP
fsr-3737	1	33	reproduction	reproduction	NOUN
fsr-3737	1	34	in	in	ADP
fsr-3737	1	35	any	any	DET
fsr-3737	1	36	form	form	NOUN
fsr-3737	1	37	reserved	reserve	VERB
fsr-3737	1	38	.	.	PUNCT
fsr-3737	2	1	a	a	DET
fsr-3737	2	2	simplified	simplified	ADJ
fsr-3737	2	3	approach	approach	NOUN
fsr-3737	2	4	to	to	ADP
fsr-3737	2	5	measuring	measure	VERB
fsr-3737	2	6	bond	bond	NOUN
fsr-3737	2	7	duration	duration	NOUN
fsr-3737	2	8	jean	jean	PROPN
fsr-3737	2	9	l.	l.	PROPN
fsr-3737	2	10	heck	heck	PROPN
fsr-3737	2	11	terry	terry	PROPN
fsr-3737	2	12	l.	l.	PROPN
fsr-3737	2	13	zivney	zivney	PROPN
fsr-3737	2	14	naval	naval	PROPN
fsr-3737	2	15	k.	k.	PROPN
fsr-3737	2	16	modani	modani	PROPN
fsr-3737	2	17	because	because	SCONJ
fsr-3737	2	18	interest	interest	NOUN
fsr-3737	2	19	rates	rate	NOUN
fsr-3737	2	20	vary	vary	VERB
fsr-3737	2	21	over	over	ADP
fsr-3737	2	22	time	time	NOUN
fsr-3737	2	23	,	,	PUNCT
fsr-3737	2	24	the	the	DET
fsr-3737	2	25	realized	realize	VERB
fsr-3737	2	26	return	return	NOUN
fsr-3737	2	27	on	on	ADP
fsr-3737	2	28	a	a	DET
fsr-3737	2	29	fixed	fix	VERB
fsr-3737	2	30	-	-	PUNCT
fsr-3737	2	31	income	income	NOUN
fsr-3737	2	32	investment	investment	NOUN
fsr-3737	2	33	will	will	AUX
fsr-3737	2	34	depend	depend	VERB
fsr-3737	2	35	on	on	ADP
fsr-3737	2	36	the	the	DET
fsr-3737	2	37	price	price	NOUN
fsr-3737	2	38	at	at	ADP
fsr-3737	2	39	which	which	PRON
fsr-3737	2	40	the	the	DET
fsr-3737	2	41	instrument	instrument	NOUN
fsr-3737	2	42	is	be	AUX
fsr-3737	2	43	ultimately	ultimately	ADV
fsr-3737	2	44	liquidated	liquidate	VERB
fsr-3737	2	45	and	and	CCONJ
fsr-3737	2	46	the	the	DET
fsr-3737	2	47	rate	rate	NOUN
fsr-3737	2	48	at	at	ADP
fsr-3737	2	49	which	which	PRON
fsr-3737	2	50	interim	interim	ADJ
fsr-3737	2	51	cash	cash	NOUN
fsr-3737	2	52	flows	flow	NOUN
fsr-3737	2	53	are	be	AUX
fsr-3737	2	54	reinvested	reinveste	VERB
fsr-3737	2	55	.	.	PUNCT
fsr-3737	3	1	this	this	DET
fsr-3737	3	2	variation	variation	NOUN
fsr-3737	3	3	in	in	ADP
fsr-3737	3	4	realized	realize	VERB
fsr-3737	3	5	return	return	NOUN
fsr-3737	3	6	,	,	PUNCT
fsr-3737	3	7	known	know	VERB
fsr-3737	3	8	as	as	ADP
fsr-3737	3	9	interest	interest	NOUN
fsr-3737	3	10	-	-	PUNCT
fsr-3737	3	11	rate	rate	NOUN
fsr-3737	3	12	risk	risk	NOUN
fsr-3737	3	13	,	,	PUNCT
fsr-3737	3	14	should	should	AUX
fsr-3737	3	15	be	be	AUX
fsr-3737	3	16	addressed	address	VERB
fsr-3737	3	17	by	by	ADP
fsr-3737	3	18	both	both	DET
fsr-3737	3	19	individual	individual	ADJ
fsr-3737	3	20	and	and	CCONJ
fsr-3737	3	21	institutional	institutional	ADJ
fsr-3737	3	22	investors	investor	NOUN
fsr-3737	3	23	.	.	PUNCT
fsr-3737	4	1	tools	tool	NOUN
fsr-3737	4	2	for	for	ADP
fsr-3737	4	3	measuring	measure	VERB
fsr-3737	4	4	the	the	DET
fsr-3737	4	5	impact	impact	NOUN
fsr-3737	4	6	and	and	CCONJ
fsr-3737	4	7	adjustingfor	adjustingfor	ADP
fsr-3737	4	8	the	the	DET
fsr-3737	4	9	efsects	efsect	NOUN
fsr-3737	4	10	ofinterest	ofinter	ADJ
fsr-3737	4	11	nate	nate	PROPN
fsr-3737	4	12	changes	change	NOUN
fsr-3737	4	13	on	on	ADP
fsr-3737	4	14	fixed	fix	VERB
fsr-3737	4	15	-	-	PUNCT
fsr-3737	4	16	income	income	NOUN
fsr-3737	4	17	inst	inst	NOUN
fsr-3737	4	18	~	~	PUNCT
fsr-3737	4	19	me	i	PRON
fsr-3737	4	20	~	~	SYM
fsr-3737	4	21	t	t	NOUN
fsr-3737	4	22	pe	pe	NOUN
fsr-3737	4	23	~	~	NOUN
fsr-3737	4	24	o	o	NOUN
fsr-3737	4	25	~	~	NOUN
fsr-3737	4	26	ance	ance	NOUN
fsr-3737	4	27	have	have	AUX
fsr-3737	4	28	long	long	ADV
fsr-3737	4	29	been	be	AUX
fsr-3737	4	30	available	available	ADJ
fsr-3737	4	31	with	with	ADP
fsr-3737	4	32	duration	duration	NOUN
fsr-3737	4	33	and	and	CCONJ
fsr-3737	4	34	its	its	PRON
fsr-3737	4	35	com	com	NOUN
fsr-3737	4	36	~	~	PUNCT
fsr-3737	4	37	an	an	PRON
fsr-3737	4	38	~	~	NOUN
fsr-3737	4	39	n	n	NUM
fsr-3737	4	40	adjust	adjust	VERB
fsr-3737	4	41	ment	ment	ADJ
fsr-3737	4	42	factor	factor	NOUN
fsr-3737	4	43	,	,	PUNCT
fsr-3737	4	44	convexity	convexity	NOUN
fsr-3737	4	45	.	.	PUNCT
fsr-3737	5	1	in	in	ADP
fsr-3737	5	2	this	this	DET
fsr-3737	5	3	article	article	NOUN
fsr-3737	5	4	,	,	PUNCT
fsr-3737	5	5	a	a	PRON
fsr-3737	5	6	simpltjied	simpltjie	VERB
fsr-3737	5	7	a	a	DET
fsr-3737	5	8	~	~	PUNCT
fsr-3737	5	9	te	te	ADP
fsr-3737	5	10	~	~	NOUN
fsr-3737	5	11	ati	ati	NOUN
fsr-3737	5	12	~	~	X
fsr-3737	5	13	ie	ie	X
fsr-3737	5	14	to	to	ADP
fsr-3737	5	15	the	the	DET
fsr-3737	5	16	tr	tr	VERB
fsr-3737	5	17	~	~	ADJ
fsr-3737	5	18	itional	itional	ADJ
fsr-3737	5	19	complex	complex	ADJ
fsr-3737	5	20	duration	duration	NOUN
fsr-3737	5	21	calculation	calculation	NOUN
fsr-3737	5	22	is	be	AUX
fsr-3737	5	23	developed	develop	VERB
fsr-3737	5	24	and	and	CCONJ
fsr-3737	5	25	demonstrated	demonstrate	VERB
fsr-3737	5	26	.	.	PUNCT
fsr-3737	6	1	thus	thus	ADV
fsr-3737	6	2	,	,	PUNCT
fsr-3737	6	3	anyone	anyone	PRON
fsr-3737	6	4	who	who	PRON
fsr-3737	6	5	can	can	AUX
fsr-3737	6	6	calculate	calculate	VERB
fsr-3737	6	7	a	a	DET
fsr-3737	6	8	bond	bond	NOUN
fsr-3737	6	9	price	price	NOUN
fsr-3737	6	10	can	can	AUX
fsr-3737	6	11	quickly	quickly	ADV
fsr-3737	6	12	estimate	estimate	VERB
fsr-3737	6	13	the	the	DET
fsr-3737	6	14	interest	interest	NOUN
fsr-3737	6	15	rate	rate	NOUN
fsr-3737	6	16	risk	risk	NOUN
fsr-3737	6	17	associated	associate	VERB
fsr-3737	6	18	with	with	ADP
fsr-3737	6	19	a	a	DET
fsr-3737	6	20	bond	bond	NOUN
fsr-3737	6	21	as	as	ADV
fsr-3737	6	22	well	well	ADV
fsr-3737	6	23	as	as	ADP
fsr-3737	6	24	calculate	calculate	VERB
fsr-3737	6	25	the	the	DET
fsr-3737	6	26	expected	expect	VERB
fsr-3737	6	27	bond	bond	NOUN
fsr-3737	6	28	price	price	NOUN
fsr-3737	6	29	change	change	NOUN
fsr-3737	6	30	for	for	ADP
fsr-3737	6	31	a	a	DET
fsr-3737	6	32	given	give	VERB
fsr-3737	6	33	change	change	NOUN
fsr-3737	6	34	in	in	ADP
fsr-3737	6	35	market	market	NOUN
fsr-3737	6	36	yield	yield	NOUN
fsr-3737	6	37	-	-	PUNCT
fsr-3737	6	38	to+naturuy	to+naturuy	NOUN
fsr-3737	6	39	.	.	PUNCT
fsr-3737	7	1	i.	i.	PROPN
fsr-3737	7	2	introw	introw	PROPN
fsr-3737	8	1	~	~	PROPN
fsr-3737	8	2	t	t	X
fsr-3737	8	3	~	~	PUNCT
fsr-3737	8	4	on	on	ADP
fsr-3737	8	5	because	because	SCONJ
fsr-3737	8	6	interest	interest	NOUN
fsr-3737	8	7	rates	rate	NOUN
fsr-3737	8	8	vary	vary	VERB
fsr-3737	8	9	over	over	ADP
fsr-3737	8	10	time	time	NOUN
fsr-3737	8	11	,	,	PUNCT
fsr-3737	8	12	the	the	DET
fsr-3737	8	13	realized	realize	VERB
fsr-3737	8	14	return	return	NOUN
fsr-3737	8	15	on	on	ADP
fsr-3737	8	16	a	a	DET
fsr-3737	8	17	fixed	fix	VERB
fsr-3737	8	18	-	-	PUNCT
fsr-3737	8	19	income	income	NOUN
fsr-3737	8	20	investment	investment	NOUN
fsr-3737	8	21	will	will	AUX
fsr-3737	8	22	depend	depend	VERB
fsr-3737	8	23	on	on	ADP
fsr-3737	8	24	the	the	DET
fsr-3737	8	25	price	price	NOUN
fsr-3737	8	26	at	at	ADP
fsr-3737	8	27	which	which	PRON
fsr-3737	8	28	the	the	DET
fsr-3737	8	29	instrument	instrument	NOUN
fsr-3737	8	30	is	be	AUX
fsr-3737	8	31	ultimately	ultimately	ADV
fsr-3737	8	32	liquidated	liquidate	VERB
fsr-3737	8	33	and	and	CCONJ
fsr-3737	8	34	the	the	DET
fsr-3737	8	35	rate	rate	NOUN
fsr-3737	8	36	at	at	ADP
fsr-3737	8	37	which	which	PRON
fsr-3737	8	38	interim	interim	ADJ
fsr-3737	8	39	cash	cash	NOUN
fsr-3737	8	40	flows	flow	NOUN
fsr-3737	8	41	are	be	AUX
fsr-3737	8	42	reinvested	reinveste	VERB
fsr-3737	8	43	.	.	PUNCT
fsr-3737	9	1	this	this	DET
fsr-3737	9	2	variation	variation	NOUN
fsr-3737	9	3	in	in	ADP
fsr-3737	9	4	realized	realize	VERB
fsr-3737	9	5	return	return	NOUN
fsr-3737	9	6	,	,	PUNCT
fsr-3737	9	7	known	know	VERB
fsr-3737	9	8	as	as	ADP
fsr-3737	9	9	interest	interest	NOUN
fsr-3737	9	10	-	-	PUNCT
fsr-3737	9	11	rate	rate	NOUN
fsr-3737	9	12	risk	risk	NOUN
fsr-3737	9	13	,	,	PUNCT
fsr-3737	9	14	should	should	AUX
fsr-3737	9	15	be	be	AUX
fsr-3737	9	16	addressed	address	VERB
fsr-3737	9	17	by	by	ADP
fsr-3737	9	18	both	both	DET
fsr-3737	9	19	individual	individual	ADJ
fsr-3737	9	20	and	and	CCONJ
fsr-3737	9	21	institutional	institutional	ADJ
fsr-3737	9	22	investors	investor	NOUN
fsr-3737	9	23	.	.	PUNCT
fsr-3737	10	1	tools	tool	NOUN
fsr-3737	10	2	for	for	ADP
fsr-3737	10	3	measuring	measure	VERB
fsr-3737	10	4	&	&	CCONJ
fsr-3737	10	5	he	he	PRON
fsr-3737	10	6	impact	impact	VERB
fsr-3737	10	7	and	and	CCONJ
fsr-3737	10	8	adjusting	adjust	VERB
fsr-3737	10	9	for	for	ADP
fsr-3737	10	10	the	the	DET
fsr-3737	10	11	effects	effect	NOUN
fsr-3737	10	12	of	of	ADP
fsr-3737	10	13	interest	interest	NOUN
fsr-3737	10	14	rate	rate	NOUN
fsr-3737	10	15	changes	change	NOUN
fsr-3737	10	16	on	on	ADP
fsr-3737	10	17	fixed	fix	VERB
fsr-3737	10	18	-	-	PUNCT
fsr-3737	10	19	income	income	NOUN
fsr-3737	10	20	instrument	instrument	NOUN
fsr-3737	10	21	performance	performance	NOUN
fsr-3737	10	22	have	have	AUX
fsr-3737	10	23	long	long	ADV
fsr-3737	10	24	been	be	AUX
fsr-3737	10	25	available	available	ADJ
fsr-3737	10	26	with	with	ADP
fsr-3737	10	27	duration	duration	NOUN
fsr-3737	10	28	and	and	CCONJ
fsr-3737	10	29	its	its	PRON
fsr-3737	10	30	companion	companion	NOUN
fsr-3737	10	31	adjustment	adjustment	NOUN
fsr-3737	10	32	factor	factor	NOUN
fsr-3737	10	33	,	,	PUNCT
fsr-3737	10	34	convexity	convexity	NOUN
fsr-3737	10	35	.	.	PUNCT
fsr-3737	10	36	’	'	PUNCT
fsr-3737	11	1	although	although	SCONJ
fsr-3737	11	2	the	the	DET
fsr-3737	11	3	rigorous	rigorous	ADJ
fsr-3737	11	4	calculation	calculation	NOUN
fsr-3737	11	5	of	of	ADP
fsr-3737	11	6	these	these	DET
fsr-3737	11	7	measures	measure	NOUN
fsr-3737	11	8	is	be	AUX
fsr-3737	11	9	intellectually	intellectually	ADV
fsr-3737	11	10	appealing	appeal	VERB
fsr-3737	11	11	to	to	ADP
fsr-3737	11	12	academics	academic	NOUN
fsr-3737	11	13	,	,	PUNCT
fsr-3737	11	14	and	and	CCONJ
fsr-3737	11	15	easy	easy	ADJ
fsr-3737	11	16	to	to	PART
fsr-3737	11	17	employ	employ	VERB
fsr-3737	11	18	in	in	ADP
fsr-3737	11	19	a	a	DET
fsr-3737	11	20	high	high	ADJ
fsr-3737	11	21	-	-	PUNCT
fsr-3737	11	22	tech	tech	NOUN
fsr-3737	11	23	institutional	institutional	ADJ
fsr-3737	11	24	setting	setting	NOUN
fsr-3737	11	25	,	,	PUNCT
fsr-3737	11	26	such	such	ADJ
fsr-3737	11	27	calculations	calculation	NOUN
fsr-3737	11	28	can	can	AUX
fsr-3737	11	29	be	be	AUX
fsr-3737	11	30	daunting	daunt	VERB
fsr-3737	11	31	to	to	ADP
fsr-3737	11	32	individual	individual	ADJ
fsr-3737	11	33	investors	investor	NOUN
fsr-3737	11	34	.	.	PUNCT
fsr-3737	12	1	in	in	ADP
fsr-3737	12	2	this	this	DET
fsr-3737	12	3	paper	paper	NOUN
fsr-3737	12	4	a	a	DET
fsr-3737	12	5	different	different	ADJ
fsr-3737	12	6	,	,	PUNCT
fsr-3737	12	7	yet	yet	CCONJ
fsr-3737	12	8	simple	simple	ADJ
fsr-3737	12	9	,	,	PUNCT
fsr-3737	12	10	approach	approach	NOUN
fsr-3737	12	11	for	for	ADP
fsr-3737	12	12	m	m	PROPN
fsr-3737	12	13	~	~	NOUN
fsr-3737	12	14	suring	sure	VERB
fsr-3737	12	15	duration	duration	NOUN
fsr-3737	12	16	and	and	CCONJ
fsr-3737	12	17	convexity	convexity	NOUN
fsr-3737	12	18	is	be	AUX
fsr-3737	12	19	developed	develop	VERB
fsr-3737	12	20	and	and	CCONJ
fsr-3737	12	21	demonstrated	demonstrate	VERB
fsr-3737	12	22	.	.	PUNCT
fsr-3737	13	1	ii	ii	X
fsr-3737	13	2	.	.	PUNCT
fsr-3737	14	1	prior	prior	ADJ
fsr-3737	14	2	approaches	approach	NOUN
fsr-3737	14	3	to	to	ADP
fsr-3737	14	4	computing	compute	VERB
fsr-3737	14	5	duration	duration	NOUN
fsr-3737	14	6	duration	duration	NOUN
fsr-3737	14	7	was	be	AUX
fsr-3737	14	8	originally	originally	ADV
fsr-3737	14	9	derived	derive	VERB
fsr-3737	14	10	as	as	ADP
fsr-3737	14	11	a	a	DET
fsr-3737	14	12	superior	superior	ADJ
fsr-3737	14	13	way	way	NOUN
fsr-3737	14	14	of	of	ADP
fsr-3737	14	15	capturing	capture	VERB
fsr-3737	14	16	in	in	ADP
fsr-3737	14	17	a	a	DET
fsr-3737	14	18	singlemeasure	singlemeasure	NOUN
fsr-3737	14	19	the	the	DET
fsr-3737	14	20	impact	impact	NOUN
fsr-3737	14	21	of	of	ADP
fsr-3737	14	22	the	the	DET
fsr-3737	14	23	pattern	pattern	NOUN
fsr-3737	14	24	of	of	ADP
fsr-3737	14	25	a	a	DET
fsr-3737	14	26	bond	bond	NOUN
fsr-3737	14	27	’s	’s	PART
fsr-3737	14	28	cash	cash	NOUN
fsr-3737	14	29	flows	flow	NOUN
fsr-3737	14	30	on	on	ADP
fsr-3737	14	31	its	its	PRON
fsr-3737	14	32	sensitivity	sensitivity	NOUN
fsr-3737	14	33	to	to	ADP
fsr-3737	14	34	interest	interest	NOUN
fsr-3737	14	35	rate	rate	NOUN
fsr-3737	14	36	changes	change	NOUN
fsr-3737	14	37	.	.	PUNCT
fsr-3737	15	1	two	two	NUM
fsr-3737	15	2	bonds	bond	NOUN
fsr-3737	15	3	jean	jean	PROPN
fsr-3737	15	4	l.	l.	PROPN
fsr-3737	15	5	heck	heck	PROPN
fsr-3737	15	6	l	l	PROPN
fsr-3737	15	7	coilege	coilege	PROPN
fsr-3737	15	8	of	of	ADP
fsr-3737	15	9	commerce	commerce	NOUN
fsr-3737	15	10	and	and	CCONJ
fsr-3737	15	11	finance	finance	NOUN
fsr-3737	15	12	,	,	PUNCT
fsr-3737	15	13	villanova	villanova	PROPN
fsr-3737	15	14	university	university	PROPN
fsr-3737	15	15	,	,	PUNCT
fsr-3737	15	16	villanova	villanova	PROPN
fsr-3737	15	17	,	,	PUNCT
fsr-3737	15	18	pa	pa	PROPN
fsr-3737	15	19	19085	19085	NUM
fsr-3737	15	20	.	.	PUNCT
fsr-3737	16	1	terry	terry	PROPN
fsr-3737	16	2	l.	l.	PROPN
fsr-3737	16	3	zivney	zivney	PROPN
fsr-3737	16	4	l	l	PROPN
fsr-3737	16	5	college	college	PROPN
fsr-3737	16	6	of	of	ADP
fsr-3737	16	7	business	business	NOUN
fsr-3737	16	8	,	,	PUNCT
fsr-3737	16	9	ball	ball	NOUN
fsr-3737	16	10	state	state	PROPN
fsr-3737	16	11	university	university	PROPN
fsr-3737	16	12	,	,	PUNCT
fsr-3737	16	13	muncie	muncie	PROPN
fsr-3737	16	14	,	,	PUNCT
fsr-3737	16	15	in	in	ADP
fsr-3737	16	16	47306	47306	NUM
fsr-3737	16	17	.	.	PUNCT
fsr-3737	17	1	naval	naval	PROPN
fsr-3737	17	2	k.	k.	PROPN
fsr-3737	17	3	modani	modani	PROPN
fsr-3737	18	1	l	l	PROPN
fsr-3737	18	2	college	college	PROPN
fsr-3737	18	3	of	of	ADP
fsr-3737	18	4	business	business	PROPN
fsr-3737	18	5	administration	administration	PROPN
fsr-3737	18	6	,	,	PUNCT
fsr-3737	18	7	university	university	NOUN
fsr-3737	18	8	of	of	ADP
fsr-3737	18	9	central	central	PROPN
fsr-3737	18	10	florida	florida	PROPN
fsr-3737	18	11	,	,	PUNCT
fsr-3737	18	12	orlando	orlando	PROPN
fsr-3737	18	13	,	,	PUNCT
fsr-3737	18	14	pl	pl	PROPN
fsr-3737	18	15	32816	32816	NUM
fsr-3737	18	16	.	.	PUNCT
fsr-3737	19	1	32	32	NUM
fsr-3737	19	2	financial	financial	ADJ
fsr-3737	19	3	services	service	NOUN
fsr-3737	19	4	review	review	VERB
fsr-3737	19	5	4(l	4(l	NUM
fsr-3737	19	6	)	)	PUNCT
fsr-3737	19	7	1995	1995	NUM
fsr-3737	19	8	with	with	ADP
fsr-3737	19	9	the	the	DET
fsr-3737	19	10	same	same	ADJ
fsr-3737	19	11	maturity	maturity	NOUN
fsr-3737	19	12	and	and	CCONJ
fsr-3737	19	13	yield	yield	NOUN
fsr-3737	19	14	-	-	PUNCT
fsr-3737	19	15	to	to	ADP
fsr-3737	19	16	-	-	PUNCT
fsr-3737	19	17	maturity	maturity	NOUN
fsr-3737	19	18	(	(	PUNCT
fsr-3737	19	19	yield	yield	NOUN
fsr-3737	19	20	)	)	PUNCT
fsr-3737	19	21	but	but	CCONJ
fsr-3737	19	22	different	different	ADJ
fsr-3737	19	23	periodic	periodic	ADJ
fsr-3737	19	24	coupon	coupon	NOUN
fsr-3737	19	25	cash	cash	NOUN
fsr-3737	19	26	flows	flow	NOUN
fsr-3737	19	27	can	can	AUX
fsr-3737	19	28	result	result	VERB
fsr-3737	19	29	in	in	ADP
fsr-3737	19	30	very	very	ADV
fsr-3737	19	31	different	different	ADJ
fsr-3737	19	32	levels	level	NOUN
fsr-3737	19	33	of	of	ADP
fsr-3737	19	34	terminal	terminal	ADJ
fsr-3737	19	35	wealth	wealth	NOUN
fsr-3737	19	36	for	for	ADP
fsr-3737	19	37	their	their	PRON
fsr-3737	19	38	owners	owner	NOUN
fsr-3737	19	39	.	.	PUNCT
fsr-3737	20	1	as	as	SCONJ
fsr-3737	20	2	market	market	NOUN
fsr-3737	20	3	interest	interest	NOUN
fsr-3737	20	4	rates	rate	NOUN
fsr-3737	20	5	fluctuate	fluctuate	NOUN
fsr-3737	20	6	following	follow	VERB
fsr-3737	20	7	the	the	DET
fsr-3737	20	8	acquisition	acquisition	NOUN
fsr-3737	20	9	of	of	ADP
fsr-3737	20	10	a	a	DET
fsr-3737	20	11	bond	bond	NOUN
fsr-3737	20	12	,	,	PUNCT
fsr-3737	20	13	the	the	DET
fsr-3737	20	14	rate	rate	NOUN
fsr-3737	20	15	at	at	ADP
fsr-3737	20	16	which	which	PRON
fsr-3737	20	17	interim	interim	ADJ
fsr-3737	20	18	cash	cash	NOUN
fsr-3737	20	19	flows	flow	NOUN
fsr-3737	20	20	are	be	AUX
fsr-3737	20	21	reinvested	reinveste	VERB
fsr-3737	20	22	will	will	AUX
fsr-3737	20	23	vary	vary	VERB
fsr-3737	20	24	.	.	PUNCT
fsr-3737	21	1	also	also	ADV
fsr-3737	21	2	,	,	PUNCT
fsr-3737	21	3	if	if	SCONJ
fsr-3737	21	4	the	the	DET
fsr-3737	21	5	bond	bond	NOUN
fsr-3737	21	6	is	be	AUX
fsr-3737	21	7	liquidated	liquidate	VERB
fsr-3737	21	8	prior	prior	ADV
fsr-3737	21	9	to	to	ADP
fsr-3737	21	10	maturity	maturity	NOUN
fsr-3737	21	11	,	,	PUNCT
fsr-3737	21	12	the	the	DET
fsr-3737	21	13	price	price	NOUN
fsr-3737	21	14	received	receive	VERB
fsr-3737	21	15	will	will	AUX
fsr-3737	21	16	depend	depend	VERB
fsr-3737	21	17	on	on	ADP
fsr-3737	21	18	market	market	NOUN
fsr-3737	21	19	interest	interest	NOUN
fsr-3737	21	20	rates	rate	NOUN
fsr-3737	21	21	at	at	ADP
fsr-3737	21	22	that	that	DET
fsr-3737	21	23	time	time	NOUN
fsr-3737	21	24	.	.	PUNCT
fsr-3737	22	1	the	the	DET
fsr-3737	22	2	decrease	decrease	NOUN
fsr-3737	22	3	(	(	PUNCT
fsr-3737	22	4	increase	increase	NOUN
fsr-3737	22	5	)	)	PUNCT
fsr-3737	22	6	in	in	ADP
fsr-3737	22	7	liquidation	liquidation	NOUN
fsr-3737	22	8	value	value	NOUN
fsr-3737	22	9	seldom	seldom	ADV
fsr-3737	22	10	exactly	exactly	ADV
fsr-3737	22	11	offsets	offset	VERB
fsr-3737	22	12	the	the	DET
fsr-3737	22	13	increase	increase	NOUN
fsr-3737	22	14	(	(	PUNCT
fsr-3737	22	15	decrease	decrease	NOUN
fsr-3737	22	16	)	)	PUNCT
fsr-3737	22	17	in	in	ADP
fsr-3737	22	18	reinvestment	reinvestment	NOUN
fsr-3737	22	19	income	income	NOUN
fsr-3737	22	20	that	that	PRON
fsr-3737	22	21	results	result	VERB
fsr-3737	22	22	from	from	ADP
fsr-3737	22	23	changing	change	VERB
fsr-3737	22	24	market	market	NOUN
fsr-3737	22	25	interest	interest	NOUN
fsr-3737	22	26	rates	rate	NOUN
fsr-3737	22	27	.	.	PUNCT
fsr-3737	23	1	one	one	NUM
fsr-3737	23	2	way	way	NOUN
fsr-3737	23	3	to	to	PART
fsr-3737	23	4	avoid	avoid	VERB
fsr-3737	23	5	such	such	ADJ
fsr-3737	23	6	terminal	terminal	ADJ
fsr-3737	23	7	wealth	wealth	NOUN
fsr-3737	23	8	risk	risk	NOUN
fsr-3737	23	9	is	be	AUX
fsr-3737	23	10	to	to	PART
fsr-3737	23	11	hold	hold	VERB
fsr-3737	23	12	only	only	ADV
fsr-3737	23	13	zero	zero	NUM
fsr-3737	23	14	-	-	PUNCT
fsr-3737	23	15	coupon	coupon	NOUN
fsr-3737	23	16	bonds	bond	NOUN
fsr-3737	23	17	that	that	PRON
fsr-3737	23	18	have	have	VERB
fsr-3737	23	19	a	a	DET
fsr-3737	23	20	maturity	maturity	NOUN
fsr-3737	23	21	equal	equal	ADJ
fsr-3737	23	22	to	to	ADP
fsr-3737	23	23	the	the	DET
fsr-3737	23	24	planned	plan	VERB
fsr-3737	23	25	holding	hold	VERB
fsr-3737	23	26	period	period	NOUN
fsr-3737	23	27	.	.	PUNCT
fsr-3737	24	1	however	however	ADV
fsr-3737	24	2	,	,	PUNCT
fsr-3737	24	3	because	because	SCONJ
fsr-3737	24	4	of	of	ADP
fsr-3737	24	5	a	a	DET
fsr-3737	24	6	shortage	shortage	NOUN
fsr-3737	24	7	of	of	ADP
fsr-3737	24	8	a	a	DET
fsr-3737	24	9	range	range	NOUN
fsr-3737	24	10	of	of	ADP
fsr-3737	24	11	“	"	PUNCT
fsr-3737	24	12	zeros	zero	NOUN
fsr-3737	24	13	”	"	PUNCT
fsr-3737	24	14	with	with	ADP
fsr-3737	24	15	desired	desire	VERB
fsr-3737	24	16	risk	risk	NOUN
fsr-3737	24	17	/	/	SYM
fsr-3737	24	18	return	return	NOUN
fsr-3737	24	19	relationships	relationship	NOUN
fsr-3737	24	20	as	as	ADV
fsr-3737	24	21	well	well	ADV
fsr-3737	24	22	as	as	ADP
fsr-3737	24	23	certain	certain	ADJ
fsr-3737	24	24	tax	tax	NOUN
fsr-3737	24	25	implications	implication	NOUN
fsr-3737	24	26	associated	associate	VERB
fsr-3737	24	27	with	with	ADP
fsr-3737	24	28	holding	hold	VERB
fsr-3737	24	29	zeros	zero	NOUN
fsr-3737	24	30	,	,	PUNCT
fsr-3737	24	31	other	other	ADJ
fsr-3737	24	32	strategies	strategy	NOUN
fsr-3737	24	33	for	for	ADP
fsr-3737	24	34	addressing	address	VERB
fsr-3737	24	35	interest	interest	NOUN
fsr-3737	24	36	rate	rate	NOUN
fsr-3737	24	37	risk	risk	NOUN
fsr-3737	24	38	are	be	AUX
fsr-3737	24	39	necessary	necessary	ADJ
fsr-3737	24	40	.	.	PUNCT
fsr-3737	25	1	in	in	ADP
fsr-3737	25	2	a	a	DET
fsr-3737	25	3	book	book	NOUN
fsr-3737	25	4	written	write	VERB
fsr-3737	25	5	for	for	ADP
fsr-3737	25	6	the	the	DET
fsr-3737	25	7	national	national	PROPN
fsr-3737	25	8	bureau	bureau	PROPN
fsr-3737	25	9	of	of	ADP
fsr-3737	25	10	economic	economic	ADJ
fsr-3737	25	11	research	research	NOUN
fsr-3737	25	12	in	in	ADP
fsr-3737	25	13	1938	1938	NUM
fsr-3737	25	14	,	,	PUNCT
fsr-3737	25	15	frederick	frederick	PROPN
fsr-3737	25	16	macaulay	macaulay	PROPN
fsr-3737	25	17	first	first	ADV
fsr-3737	25	18	developed	develop	VERB
fsr-3737	25	19	the	the	DET
fsr-3737	25	20	concept	concept	NOUN
fsr-3737	25	21	of	of	ADP
fsr-3737	25	22	bond	bond	NOUN
fsr-3737	25	23	duration	duration	NOUN
fsr-3737	25	24	,	,	PUNCT
fsr-3737	25	25	duration	duration	NOUN
fsr-3737	25	26	basically	basically	ADV
fsr-3737	25	27	measures	measure	VERB
fsr-3737	25	28	the	the	DET
fsr-3737	25	29	weighted	weighted	ADJ
fsr-3737	25	30	average	average	ADJ
fsr-3737	25	31	amount	amount	NOUN
fsr-3737	25	32	of	of	ADP
fsr-3737	25	33	time	time	NOUN
fsr-3737	25	34	it	it	PRON
fsr-3737	25	35	takes	take	VERB
fsr-3737	25	36	to	to	PART
fsr-3737	25	37	receive	receive	VERB
fsr-3737	25	38	the	the	DET
fsr-3737	25	39	present	present	ADJ
fsr-3737	25	40	value	value	NOUN
fsr-3737	25	41	of	of	ADP
fsr-3737	25	42	cash	cash	NOUN
fsr-3737	25	43	flows	flow	NOUN
fsr-3737	25	44	from	from	ADP
fsr-3737	25	45	a	a	DET
fsr-3737	25	46	bond	bond	NOUN
fsr-3737	25	47	.	.	PUNCT
fsr-3737	26	1	duration	duration	NOUN
fsr-3737	26	2	=	=	PUNCT
fsr-3737	27	1	[	[	X
fsr-3737	27	2	x	x	X
fsr-3737	27	3	tc	tc	PROPN
fsr-3737	27	4	,	,	PUNCT
fsr-3737	27	5	/	/	PUNCT
fsr-3737	27	6	(	(	PUNCT
fsr-3737	27	7	1	1	NUM
fsr-3737	27	8	+	+	CCONJ
fsr-3737	27	9	i	i	NOUN
fsr-3737	27	10	)	)	PUNCT
fsr-3737	27	11	‘	'	PUNCT
fsr-3737	27	12	]	]	X
fsr-3737	27	13	/	/	SYM
fsr-3737	28	1	[	[	X
fsr-3737	28	2	x	x	X
fsr-3737	28	3	c	c	X
fsr-3737	28	4	,	,	PUNCT
fsr-3737	28	5	/	/	PUNCT
fsr-3737	28	6	(	(	PUNCT
fsr-3737	28	7	1	1	NUM
fsr-3737	28	8	+	+	CCONJ
fsr-3737	28	9	i	i	NOUN
fsr-3737	28	10	)	)	PUNCT
fsr-3737	28	11	‘	'	PUNCT
fsr-3737	28	12	]	]	X
fsr-3737	28	13	where	where	SCONJ
fsr-3737	28	14	c	c	NOUN
fsr-3737	28	15	,	,	PUNCT
fsr-3737	28	16	is	be	AUX
fsr-3737	28	17	the	the	DET
fsr-3737	28	18	cash	cash	NOUN
fsr-3737	28	19	payment	payment	NOUN
fsr-3737	28	20	received	receive	VERB
fsr-3737	28	21	at	at	ADP
fsr-3737	28	22	time	time	NOUN
fsr-3737	28	23	t	t	PROPN
fsr-3737	29	1	and	and	CCONJ
fsr-3737	29	2	i	i	PRON
fsr-3737	29	3	is	be	AUX
fsr-3737	29	4	the	the	DET
fsr-3737	29	5	yield	yield	NOUN
fsr-3737	29	6	-	-	PUNCT
fsr-3737	29	7	to	to	ADP
fsr-3737	29	8	-	-	PUNCT
fsr-3737	29	9	maturity	maturity	NOUN
fsr-3737	29	10	.	.	PUNCT
fsr-3737	30	1	reilly	reilly	PROPN
fsr-3737	30	2	(	(	PUNCT
fsr-3737	30	3	1989	1989	NUM
fsr-3737	30	4	)	)	PUNCT
fsr-3737	30	5	shows	show	VERB
fsr-3737	30	6	that	that	SCONJ
fsr-3737	30	7	the	the	DET
fsr-3737	30	8	duration	duration	NOUN
fsr-3737	30	9	of	of	ADP
fsr-3737	30	10	a	a	DET
fsr-3737	30	11	4	4	NUM
fsr-3737	30	12	%	%	NOUN
fsr-3737	30	13	annual	annual	ADJ
fsr-3737	30	14	coupon	coupon	NOUN
fsr-3737	30	15	bond	bond	NOUN
fsr-3737	30	16	that	that	PRON
fsr-3737	30	17	matures	mature	NOUN
fsr-3737	30	18	in	in	ADP
fsr-3737	30	19	10	10	NUM
fsr-3737	30	20	years	year	NOUN
fsr-3737	30	21	with	with	ADP
fsr-3737	30	22	a	a	PRON
fsr-3737	30	23	yield	yield	NOUN
fsr-3737	30	24	-	-	PUNCT
fsr-3737	30	25	to	to	ADP
fsr-3737	30	26	-	-	PUNCT
fsr-3737	30	27	maturity	maturity	NOUN
fsr-3737	30	28	of	of	ADP
fsr-3737	30	29	8	8	NUM
fsr-3737	30	30	%	%	NOUN
fsr-3737	30	31	is	be	AUX
fsr-3737	30	32	computed	compute	VERB
fsr-3737	30	33	as	as	SCONJ
fsr-3737	30	34	follows	follow	VERB
fsr-3737	30	35	:	:	PUNCT
fsr-3737	30	36	(	(	PUNCT
fsr-3737	30	37	1	1	X
fsr-3737	30	38	)	)	PUNCT
fsr-3737	30	39	(	(	PUNCT
fsr-3737	30	40	2	2	NUM
fsr-3737	30	41	)	)	PUNCT
fsr-3737	30	42	year	year	NOUN
fsr-3737	30	43	cash	cash	NOUN
fsr-3737	30	44	flow	flow	NOUN
fsr-3737	30	45	1	1	NUM
fsr-3737	30	46	40	40	NUM
fsr-3737	30	47	2	2	NUM
fsr-3737	30	48	40	40	NUM
fsr-3737	30	49	$	$	SYM
fsr-3737	30	50	40	40	NUM
fsr-3737	30	51	10	10	NUM
fsr-3737	30	52	1040	1040	NUM
fsr-3737	30	53	(	(	PUNCT
fsr-3737	30	54	3	3	NUM
fsr-3737	30	55	)	)	PUNCT
fsr-3737	30	56	(	(	PUNCT
fsr-3737	30	57	4	4	NUM
fsr-3737	30	58	)	)	PUNCT
fsr-3737	30	59	(	(	PUNCT
fsr-3737	30	60	5	5	NUM
fsr-3737	30	61	)	)	PUNCT
fsr-3737	30	62	(	(	PUNCT
fsr-3737	30	63	6	6	X
fsr-3737	30	64	)	)	PUNCT
fsr-3737	30	65	pv	pv	NOUN
fsr-3737	31	1	@8	@8	ADJ
fsr-3737	31	2	%	%	INTJ
fsr-3737	32	1	pv	pv	INTJ
fsr-3737	32	2	of	of	ADP
fsr-3737	32	3	cf	cf	INTJ
fsr-3737	32	4	pv	pv	INTJ
fsr-3737	32	5	as	as	ADP
fsr-3737	32	6	%	%	NOUN
fsr-3737	32	7	of	of	ADP
fsr-3737	32	8	price	price	NOUN
fsr-3737	32	9	(	(	PUNCT
fsr-3737	32	10	1	1	NUM
fsr-3737	32	11	)	)	PUNCT
fsr-3737	32	12	x	x	SYM
fsr-3737	32	13	(	(	PUNCT
fsr-3737	32	14	5	5	NUM
fsr-3737	32	15	)	)	PUNCT
fsr-3737	32	16	.9259	.9259	NOUN
fsr-3737	33	1	37.04	37.04	NUM
fsr-3737	33	2	.0506	.0506	NOUN
fsr-3737	33	3	.0506	.0506	NOUN
fsr-3737	34	1	.8573	.8573	PROPN
fsr-3737	35	1	34.29	34.29	NUM
fsr-3737	35	2	.0469	.0469	NOUN
fsr-3737	35	3	,	,	PUNCT
fsr-3737	35	4	093s	093s	X
fsr-3737	35	5	.5oq2	.5oq2	PUNCT
fsr-3737	35	6	.	.	PUNCT
fsr-3737	35	7	.	.	PUNCT
fsr-3737	35	8	.	.	PUNCT
fsr-3737	35	9	.	.	PUNCT
fsr-3737	35	10	.	.	PUNCT
fsr-3737	35	11	.	.	PUNCT
fsr-3737	36	1	20.02	20.02	NUM
fsr-3737	36	2	.	.	PUNCT
fsr-3737	36	3	.	.	PUNCT
fsr-3737	36	4	.	.	PUNCT
fsr-3737	36	5	.	.	PUNCT
fsr-3737	37	1	.0274	.0274	INTJ
fsr-3737	37	2	.	.	PUNCT
fsr-3737	37	3	.	.	PUNCT
fsr-3737	37	4	.	.	PUNCT
fsr-3737	37	5	.	.	PUNCT
fsr-3737	37	6	.	.	PUNCT
fsr-3737	38	1	.2466	.2466	PROPN
fsr-3737	38	2	.	.	PUNCT
fsr-3737	38	3	.	.	PUNCT
fsr-3737	38	4	.	.	PUNCT
fsr-3737	38	5	.	.	PUNCT
fsr-3737	39	1	.	.	PUNCT
fsr-3737	40	1	4632	4632	NUM
fsr-3737	40	2	481.73	481.73	NUM
fsr-3737	40	3	.6586	.6586	PUNCT
fsr-3737	41	1	6.5850	6.5850	NUM
fsr-3737	41	2	731.58	731.58	NUM
fsr-3737	41	3	l.woo	l.woo	NOUN
fsr-3737	41	4	8.1193	8.1193	NUM
fsr-3737	41	5	duration	duration	NOUN
fsr-3737	41	6	=	=	PUNCT
fsr-3737	41	7	(	(	PUNCT
fsr-3737	41	8	6	6	NUM
fsr-3737	41	9	)	)	PUNCT
fsr-3737	41	10	+	+	CCONJ
fsr-3737	41	11	(	(	PUNCT
fsr-3737	41	12	5	5	NUM
fsr-3737	41	13	)	)	PUNCT
fsr-3737	41	14	=	=	NOUN
fsr-3737	41	15	8.12	8.12	NUM
fsr-3737	41	16	years	year	NOUN
fsr-3737	41	17	as	as	SCONJ
fsr-3737	41	18	noted	note	VERB
fsr-3737	41	19	by	by	ADP
fsr-3737	41	20	reilly	reilly	PROPN
fsr-3737	41	21	(	(	PUNCT
fsr-3737	41	22	1989	1989	NUM
fsr-3737	41	23	)	)	PUNCT
fsr-3737	41	24	,	,	PUNCT
fsr-3737	41	25	generally	generally	ADV
fsr-3737	41	26	:	:	PUNCT
fsr-3737	41	27	1	1	X
fsr-3737	41	28	.	.	X
fsr-3737	41	29	bond	bond	NOUN
fsr-3737	41	30	duration	duration	NOUN
fsr-3737	41	31	is	be	AUX
fsr-3737	41	32	less	less	ADJ
fsr-3737	41	33	than	than	ADP
fsr-3737	41	34	term	term	NOUN
fsr-3737	41	35	to	to	ADP
fsr-3737	41	36	maturity	maturity	NOUN
fsr-3737	41	37	;	;	PUNCT
fsr-3737	41	38	2	2	X
fsr-3737	41	39	.	.	X
fsr-3737	41	40	there	there	PRON
fsr-3737	41	41	is	be	VERB
fsr-3737	41	42	an	an	DET
fsr-3737	41	43	inverse	inverse	NOUN
fsr-3737	41	44	relationship	relationship	NOUN
fsr-3737	41	45	between	between	ADP
fsr-3737	41	46	duration	duration	NOUN
fsr-3737	41	47	and	and	CCONJ
fsr-3737	41	48	coupon	coupon	NOUN
fsr-3737	41	49	rate	rate	NOUN
fsr-3737	41	50	;	;	PUNCT
fsr-3737	41	51	3	3	X
fsr-3737	41	52	.	.	X
fsr-3737	41	53	there	there	PRON
fsr-3737	41	54	is	be	VERB
fsr-3737	41	55	an	an	DET
fsr-3737	41	56	inverse	inverse	NOUN
fsr-3737	41	57	relationship	relationship	NOUN
fsr-3737	41	58	between	between	ADP
fsr-3737	41	59	duration	duration	NOUN
fsr-3737	41	60	and	and	CCONJ
fsr-3737	41	61	yield	yield	NOUN
fsr-3737	41	62	-	-	PUNCT
fsr-3737	41	63	to	to	ADP
fsr-3737	41	64	-	-	PUNCT
fsr-3737	41	65	maturity	maturity	NOUN
fsr-3737	41	66	;	;	PUNCT
fsr-3737	41	67	and	and	CCONJ
fsr-3737	41	68	4	4	X
fsr-3737	41	69	.	.	X
fsr-3737	41	70	bond	bond	NOUN
fsr-3737	41	71	price	price	NOUN
fsr-3737	41	72	movements	movement	NOUN
fsr-3737	41	73	vary	vary	VERB
fsr-3737	41	74	proportionally	proportionally	ADV
fsr-3737	41	75	(	(	PUNCT
fsr-3737	41	76	linearly	linearly	ADV
fsr-3737	41	77	)	)	PUNCT
fsr-3737	41	78	with	with	ADP
fsr-3737	41	79	duration	duration	NOUN
fsr-3737	41	80	the	the	DET
fsr-3737	41	81	estimated	estimate	VERB
fsr-3737	41	82	bond	bond	NOUN
fsr-3737	41	83	price	price	NOUN
fsr-3737	41	84	change	change	NOUN
fsr-3737	41	85	resulting	result	VERB
fsr-3737	41	86	from	from	ADP
fsr-3737	41	87	a	a	DET
fsr-3737	41	88	change	change	NOUN
fsr-3737	41	89	in	in	ADP
fsr-3737	41	90	yield	yield	NOUN
fsr-3737	41	91	is	be	AUX
fsr-3737	41	92	:	:	PUNCT
fsr-3737	41	93	where	where	SCONJ
fsr-3737	41	94	:	:	PUNCT
fsr-3737	42	1	ap	ap	PROPN
fsr-3737	42	2	=	=	PUNCT
fsr-3737	43	1	the	the	DET
fsr-3737	43	2	change	change	NOUN
fsr-3737	43	3	in	in	ADP
fsr-3737	43	4	bond	bond	NOUN
fsr-3737	43	5	price	price	NOUN
fsr-3737	43	6	caused	cause	VERB
fsr-3737	43	7	by	by	ADP
fsr-3737	43	8	ai	ai	INTJ
fsr-3737	43	9	p	p	NOUN
fsr-3737	43	10	=	=	X
fsr-3737	43	11	the	the	DET
fsr-3737	43	12	beginning	begin	VERB
fsr-3737	43	13	price	price	NOUN
fsr-3737	43	14	of	of	ADP
fsr-3737	43	15	the	the	DET
fsr-3737	43	16	bond	bond	NOUN
fsr-3737	43	17	-&od	-&od	NOUN
fsr-3737	43	18	=	=	PRON
fsr-3737	43	19	modified	modify	VERB
fsr-3737	43	20	duration	duration	NOUN
fsr-3737	43	21	in	in	ADP
fsr-3737	43	22	years	year	NOUN
fsr-3737	43	23	=	=	SYM
fsr-3737	43	24	duration	duration	NOUN
fsr-3737	43	25	/	/	SYM
fsr-3737	43	26	(	(	PUNCT
fsr-3737	43	27	l+iln	l+iln	NOUN
fsr-3737	43	28	)	)	PUNCT
fsr-3737	43	29	where	where	SCONJ
fsr-3737	43	30	n	n	PRON
fsr-3737	43	31	is	be	AUX
fsr-3737	43	32	the	the	DET
fsr-3737	43	33	number	number	NOUN
fsr-3737	43	34	of	of	ADP
fsr-3737	43	35	coupons	coupon	NOUN
fsr-3737	43	36	per	per	ADP
fsr-3737	43	37	year	year	NOUN
fsr-3737	43	38	ai	ai	VERB
fsr-3737	43	39	=	=	PUNCT
fsr-3737	43	40	the	the	DET
fsr-3737	43	41	change	change	NOUN
fsr-3737	43	42	in	in	ADP
fsr-3737	43	43	yield	yield	NOUN
fsr-3737	43	44	-	-	PUNCT
fsr-3737	43	45	to	to	ADP
fsr-3737	43	46	-	-	PUNCT
fsr-3737	43	47	maturity	maturity	NOUN
fsr-3737	43	48	thus	thus	ADV
fsr-3737	43	49	,	,	PUNCT
fsr-3737	43	50	for	for	ADP
fsr-3737	43	51	the	the	DET
fsr-3737	43	52	above	above	ADJ
fsr-3737	43	53	bond	bond	NOUN
fsr-3737	43	54	,	,	PUNCT
fsr-3737	43	55	if	if	SCONJ
fsr-3737	43	56	the	the	DET
fsr-3737	43	57	market	market	NOUN
fsr-3737	43	58	yield	yield	NOUN
fsr-3737	43	59	-	-	PUNCT
fsr-3737	43	60	tc+maturity	tc+maturity	NOUN
fsr-3737	43	61	declined	decline	VERB
fsr-3737	43	62	by	by	ADP
fsr-3737	43	63	7.5	7.5	NUM
fsr-3737	43	64	basis	basis	NOUN
fsr-3737	43	65	points	point	NOUN
fsr-3737	43	66	,	,	PUNCT
fsr-3737	43	67	the	the	DET
fsr-3737	43	68	change	change	NOUN
fsr-3737	43	69	in	in	ADP
fsr-3737	43	70	price	price	NOUN
fsr-3737	43	71	would	would	AUX
fsr-3737	43	72	be	be	AUX
fsr-3737	43	73	:	:	PUNCT
fsr-3737	43	74	a	a	DET
fsr-3737	43	75	simplified	simplified	ADJ
fsr-3737	43	76	approach	approach	NOUN
fsr-3737	43	77	to	to	ADP
fsr-3737	43	78	measuring	measure	VERB
fsr-3737	43	79	bond	bond	NOUN
fsr-3737	43	80	duration	duration	NOUN
fsr-3737	43	81	33	33	NUM
fsr-3737	43	82	price	price	NOUN
fsr-3737	43	83	$	$	SYM
fsr-3737	43	84	p	p	NOUN
fsr-3737	43	85	,	,	PUNCT
fsr-3737	43	86	_	_	NOUN
fsr-3737	43	87	.	.	PUNCT
fsr-3737	43	88	.	.	PUNCT
fsr-3737	43	89	.	.	PUNCT
fsr-3737	43	90	.	.	PUNCT
fsr-3737	44	1	.	.	PUNCT
fsr-3737	45	1	i	i	PRON
fsr-3737	45	2	i+ai	i+ai	VERB
fsr-3737	45	3	figure	figure	VERB
fsr-3737	45	4	1	1	NUM
fsr-3737	45	5	.	.	PUNCT
fsr-3737	45	6	price	price	NOUN
fsr-3737	45	7	/	/	SYM
fsr-3737	45	8	yield	yield	NOUN
fsr-3737	45	9	curve	curve	NOUN
fsr-3737	45	10	yield	yield	NOUN
fsr-3737	45	11	to	to	ADP
fsr-3737	45	12	maturity	maturity	NOUN
fsr-3737	45	13	ap	ap	PROPN
fsr-3737	45	14	g	g	PROPN
fsr-3737	45	15	(	(	PUNCT
fsr-3737	45	16	-8.1211	-8.1211	PROPN
fsr-3737	45	17	.os	.os	PUNCT
fsr-3737	45	18	)	)	PUNCT
fsr-3737	46	1	x	x	X
fsr-3737	46	2	(	(	PUNCT
fsr-3737	46	3	-.0075	-.0075	PUNCT
fsr-3737	46	4	)	)	PUNCT
fsr-3737	46	5	x	x	X
fsr-3737	46	6	(	(	PUNCT
fsr-3737	46	7	73	73	NUM
fsr-3737	46	8	1.58	1.58	NUM
fsr-3737	46	9	)	)	PUNCT
fsr-3737	46	10	=	=	SYM
fsr-3737	46	11	41.25	41.25	NUM
fsr-3737	46	12	this	this	PRON
fsr-3737	46	13	indicates	indicate	VERB
fsr-3737	46	14	that	that	SCONJ
fsr-3737	46	15	if	if	SCONJ
fsr-3737	46	16	the	the	DET
fsr-3737	46	17	market	market	NOUN
fsr-3737	46	18	yield	yield	NOUN
fsr-3737	46	19	-	-	PUNCT
fsr-3737	46	20	t*maturity	t*maturity	NOUN
fsr-3737	46	21	declines	decline	NOUN
fsr-3737	46	22	from	from	ADP
fsr-3737	46	23	8	8	NUM
fsr-3737	46	24	%	%	NOUN
fsr-3737	46	25	to	to	PART
fsr-3737	46	26	7.25	7.25	NUM
fsr-3737	46	27	%	%	NOUN
fsr-3737	46	28	,	,	PUNCT
fsr-3737	46	29	the	the	DET
fsr-3737	46	30	bond	bond	NOUN
fsr-3737	46	31	price	price	NOUN
fsr-3737	46	32	would	would	AUX
fsr-3737	46	33	increase	increase	VERB
fsr-3737	46	34	to	to	ADP
fsr-3737	46	35	:	:	PUNCT
fsr-3737	46	36	$	$	SYM
fsr-3737	46	37	731.58	731.58	NUM
fsr-3737	46	38	+	+	NOUN
fsr-3737	46	39	41.25	41.25	NUM
fsr-3737	46	40	=	=	SYM
fsr-3737	46	41	$	$	SYM
fsr-3737	46	42	772.83	772.83	NUM
fsr-3737	46	43	duration	duration	NOUN
fsr-3737	46	44	can	can	AUX
fsr-3737	46	45	be	be	AUX
fsr-3737	46	46	viewed	view	VERB
fsr-3737	46	47	as	as	ADP
fsr-3737	46	48	the	the	DET
fsr-3737	46	49	slope	slope	NOUN
fsr-3737	46	50	of	of	ADP
fsr-3737	46	51	a	a	DET
fsr-3737	46	52	straight	straight	ADJ
fsr-3737	46	53	line	line	NOUN
fsr-3737	46	54	tangent	tangent	NOUN
fsr-3737	46	55	to	to	ADP
fsr-3737	46	56	the	the	DET
fsr-3737	46	57	price	price	NOUN
fsr-3737	46	58	/	/	SYM
fsr-3737	46	59	yield	yield	NOUN
fsr-3737	46	60	curve	curve	NOUN
fsr-3737	46	61	.	.	PUNCT
fsr-3737	47	1	figure	figure	NOUN
fsr-3737	47	2	1	1	NUM
fsr-3737	47	3	presents	present	VERB
fsr-3737	47	4	the	the	DET
fsr-3737	47	5	price	price	NOUN
fsr-3737	47	6	/	/	SYM
fsr-3737	47	7	yield	yield	NOUN
fsr-3737	47	8	curve	curve	NOUN
fsr-3737	47	9	for	for	ADP
fsr-3737	47	10	the	the	DET
fsr-3737	47	11	4	4	NUM
fsr-3737	47	12	percent	percent	NOUN
fsr-3737	47	13	coupon	coupon	NOUN
fsr-3737	47	14	bond	bond	NOUN
fsr-3737	47	15	in	in	ADP
fsr-3737	47	16	the	the	DET
fsr-3737	47	17	preceding	precede	VERB
fsr-3737	47	18	example	example	NOUN
fsr-3737	47	19	.	.	PUNCT
fsr-3737	48	1	points	point	NOUN
fsr-3737	48	2	along	along	ADP
fsr-3737	48	3	the	the	DET
fsr-3737	48	4	curve	curve	NOUN
fsr-3737	48	5	represent	represent	VERB
fsr-3737	48	6	prices	price	NOUN
fsr-3737	48	7	for	for	ADP
fsr-3737	48	8	differing	differ	VERB
fsr-3737	48	9	yields	yield	NOUN
fsr-3737	48	10	-	-	PUNCT
fsr-3737	48	11	tc+maturity	tc+maturity	NOUN
fsr-3737	48	12	.	.	PUNCT
fsr-3737	49	1	if	if	SCONJ
fsr-3737	49	2	the	the	DET
fsr-3737	49	3	yield	yield	NOUN
fsr-3737	49	4	changes	change	VERB
fsr-3737	49	5	from	from	ADP
fsr-3737	49	6	i	i	PRON
fsr-3737	49	7	to	to	ADP
fsr-3737	49	8	i	i	PRON
fsr-3737	49	9	+	+	CCONJ
fsr-3737	49	10	a	a	X
fsr-3737	49	11	,	,	PUNCT
fsr-3737	49	12	the	the	DET
fsr-3737	49	13	price	price	NOUN
fsr-3737	49	14	of	of	ADP
fsr-3737	49	15	the	the	DET
fsr-3737	49	16	bond	bond	NOUN
fsr-3737	49	17	would	would	AUX
fsr-3737	49	18	change	change	VERB
fsr-3737	49	19	from	from	ADP
fsr-3737	49	20	point	point	NOUN
fsr-3737	49	21	po	po	NOUN
fsr-3737	49	22	to	to	PART
fsr-3737	49	23	point	point	VERB
fsr-3737	49	24	u.	u.	VERB
fsr-3737	49	25	the	the	DET
fsr-3737	49	26	slope	slope	NOUN
fsr-3737	49	27	of	of	ADP
fsr-3737	49	28	the	the	DET
fsr-3737	49	29	tangent	tangent	ADJ
fsr-3737	49	30	line	line	NOUN
fsr-3737	49	31	at	at	ADP
fsr-3737	49	32	point	point	NOUN
fsr-3737	49	33	po	po	PROPN
fsr-3737	49	34	estimates	estimate	VERB
fsr-3737	49	35	the	the	DET
fsr-3737	49	36	change	change	NOUN
fsr-3737	49	37	in	in	ADP
fsr-3737	49	38	the	the	DET
fsr-3737	49	39	bond	bond	NOUN
fsr-3737	49	40	price	price	NOUN
fsr-3737	49	41	that	that	PRON
fsr-3737	49	42	would	would	AUX
fsr-3737	49	43	occur	occur	VERB
fsr-3737	49	44	given	give	VERB
fsr-3737	49	45	a	a	DET
fsr-3737	49	46	change	change	NOUN
fsr-3737	49	47	in	in	ADP
fsr-3737	49	48	the	the	DET
fsr-3737	49	49	yield	yield	NOUN
fsr-3737	49	50	.	.	PUNCT
fsr-3737	50	1	because	because	SCONJ
fsr-3737	50	2	the	the	DET
fsr-3737	50	3	curve	curve	NOUN
fsr-3737	50	4	is	be	AUX
fsr-3737	50	5	convex	convex	PROPN
fsr-3737	50	6	,	,	PUNCT
fsr-3737	50	7	the	the	DET
fsr-3737	50	8	accuracy	accuracy	NOUN
fsr-3737	50	9	of	of	ADP
fsr-3737	50	10	the	the	DET
fsr-3737	50	11	estimate	estimate	NOUN
fsr-3737	50	12	of	of	ADP
fsr-3737	50	13	price	price	NOUN
fsr-3737	50	14	change	change	NOUN
fsr-3737	50	15	depends	depend	VERB
fsr-3737	50	16	on	on	ADP
fsr-3737	50	17	that	that	DET
fsr-3737	50	18	degree	degree	NOUN
fsr-3737	50	19	of	of	ADP
fsr-3737	50	20	convexity	convexity	NOUN
fsr-3737	50	21	.	.	PUNCT
fsr-3737	51	1	a	a	DET
fsr-3737	51	2	convexity	convexity	NOUN
fsr-3737	51	3	correction	correction	NOUN
fsr-3737	51	4	factor	factor	NOUN
fsr-3737	51	5	is	be	AUX
fsr-3737	51	6	often	often	ADV
fsr-3737	51	7	used	use	VERB
fsr-3737	51	8	to	to	PART
fsr-3737	51	9	adjust	adjust	VERB
fsr-3737	51	10	the	the	DET
fsr-3737	51	11	price	price	NOUN
fsr-3737	51	12	change	change	NOUN
fsr-3737	51	13	estimated	estimate	VERB
fsr-3737	51	14	by	by	ADP
fsr-3737	51	15	using	use	VERB
fsr-3737	51	16	the	the	DET
fsr-3737	51	17	bond	bond	NOUN
fsr-3737	51	18	duration	duration	NOUN
fsr-3737	51	19	.	.	PUNCT
fsr-3737	52	1	that	that	DET
fsr-3737	52	2	factor	factor	NOUN
fsr-3737	52	3	is	be	AUX
fsr-3737	52	4	given	give	VERB
fsr-3737	52	5	by	by	ADP
fsr-3737	52	6	:	:	PUNCT
fsr-3737	52	7	convexity	convexity	NOUN
fsr-3737	52	8	=	=	SYM
fsr-3737	52	9	cvx	cvx	PROPN
fsr-3737	52	10	=	=	SYM
fsr-3737	52	11	(	(	PUNCT
fsr-3737	52	12	62p	62p	NOUN
fsr-3737	52	13	/	/	SYM
fsr-3737	52	14	zii2)/	zii2)/	NUM
fsr-3737	52	15	p	p	X
fsr-3737	53	1	=	=	PUNCT
fsr-3737	54	1	[	[	X
fsr-3737	54	2	1/(1+i)*]x[~c,(t2+t)/(1+i	1/(1+i)*]x[~c,(t2+t)/(1+i	NUM
fsr-3737	54	3	)	)	PUNCT
fsr-3737	54	4	‘	'	PUNCT
fsr-3737	54	5	]	]	X
fsr-3737	54	6	the	the	DET
fsr-3737	54	7	total	total	ADJ
fsr-3737	54	8	change	change	NOUN
fsr-3737	54	9	in	in	ADP
fsr-3737	54	10	price	price	NOUN
fsr-3737	54	11	resulting	result	VERB
fsr-3737	54	12	from	from	ADP
fsr-3737	54	13	a	a	DET
fsr-3737	54	14	change	change	NOUN
fsr-3737	54	15	in	in	ADP
fsr-3737	54	16	yield	yield	NOUN
fsr-3737	54	17	is	be	AUX
fsr-3737	54	18	therefore:2	therefore:2	VERB
fsr-3737	54	19	ap	ap	PROPN
fsr-3737	54	20	z	z	NOUN
fsr-3737	54	21	duration	duration	NOUN
fsr-3737	54	22	change	change	NOUN
fsr-3737	54	23	+	+	CCONJ
fsr-3737	54	24	convexity	convexity	NOUN
fsr-3737	54	25	change	change	NOUN
fsr-3737	54	26	=	=	PUNCT
fsr-3737	54	27	-d,,,od	-d,,,od	NOUN
fsr-3737	54	28	x	x	PUNCT
fsr-3737	54	29	ai	ai	VERB
fsr-3737	54	30	x	x	X
fsr-3737	54	31	p	p	NOUN
fsr-3737	54	32	+	+	NOUN
fsr-3737	54	33	0.5	0.5	NUM
fsr-3737	54	34	x	x	SYM
fsr-3737	54	35	p	p	X
fsr-3737	54	36	x	x	PUNCT
fsr-3737	54	37	cvxx	cvxx	ADV
fsr-3737	54	38	(	(	PUNCT
fsr-3737	54	39	ai	ai	VERB
fsr-3737	54	40	)	)	PUNCT
fsr-3737	54	41	from	from	ADP
fsr-3737	54	42	the	the	DET
fsr-3737	54	43	above	above	ADJ
fsr-3737	54	44	calculations	calculation	NOUN
fsr-3737	54	45	,	,	PUNCT
fsr-3737	54	46	we	we	PRON
fsr-3737	54	47	observe	observe	VERB
fsr-3737	54	48	that	that	SCONJ
fsr-3737	54	49	estimating	estimate	VERB
fsr-3737	54	50	the	the	DET
fsr-3737	54	51	expected	expect	VERB
fsr-3737	54	52	change	change	NOUN
fsr-3737	54	53	in	in	ADP
fsr-3737	54	54	bond	bond	NOUN
fsr-3737	54	55	price	price	NOUN
fsr-3737	54	56	for	for	ADP
fsr-3737	54	57	a	a	DET
fsr-3737	54	58	given	give	VERB
fsr-3737	54	59	change	change	NOUN
fsr-3737	54	60	in	in	ADP
fsr-3737	54	61	yield	yield	NOUN
fsr-3737	54	62	-	-	PUNCT
fsr-3737	54	63	to	to	ADP
fsr-3737	54	64	-	-	PUNCT
fsr-3737	54	65	maturity	maturity	NOUN
fsr-3737	54	66	is	be	AUX
fsr-3737	54	67	quite	quite	ADV
fsr-3737	54	68	complex	complex	ADJ
fsr-3737	54	69	and	and	CCONJ
fsr-3737	54	70	time	time	NOUN
fsr-3737	54	71	consuming	consume	VERB
fsr-3737	54	72	.	.	PUNCT
fsr-3737	55	1	however	however	ADV
fsr-3737	55	2	,	,	PUNCT
fsr-3737	55	3	duration	duration	NOUN
fsr-3737	55	4	has	have	VERB
fsr-3737	55	5	several	several	ADJ
fsr-3737	55	6	valuable	valuable	ADJ
fsr-3737	55	7	uses	use	NOUN
fsr-3737	55	8	for	for	ADP
fsr-3737	55	9	investors	investor	NOUN
fsr-3737	55	10	,	,	PUNCT
fsr-3737	55	11	including	include	VERB
fsr-3737	55	12	individual	individual	ADJ
fsr-3737	55	13	investors	investor	NOUN
fsr-3737	55	14	.	.	PUNCT
fsr-3737	56	1	34	34	NUM
fsr-3737	56	2	financial	financial	ADJ
fsr-3737	56	3	services	service	NOUN
fsr-3737	56	4	review	review	VERB
fsr-3737	56	5	4(l	4(l	NUM
fsr-3737	56	6	)	)	PUNCT
fsr-3737	56	7	1995	1995	NUM
fsr-3737	56	8	first	first	ADV
fsr-3737	56	9	,	,	PUNCT
fsr-3737	56	10	duration	duration	NOUN
fsr-3737	56	11	serves	serve	VERB
fsr-3737	56	12	as	as	ADP
fsr-3737	56	13	a	a	DET
fsr-3737	56	14	measure	measure	NOUN
fsr-3737	56	15	of	of	ADP
fsr-3737	56	16	interest	interest	NOUN
fsr-3737	56	17	rate	rate	NOUN
fsr-3737	56	18	risk	risk	NOUN
fsr-3737	56	19	.	.	PUNCT
fsr-3737	57	1	the	the	DET
fsr-3737	57	2	prices	price	NOUN
fsr-3737	57	3	of	of	ADP
fsr-3737	57	4	bonds	bond	NOUN
fsr-3737	57	5	with	with	ADP
fsr-3737	57	6	greater	great	ADJ
fsr-3737	57	7	durations	duration	NOUN
fsr-3737	57	8	are	be	AUX
fsr-3737	57	9	more	more	ADV
fsr-3737	57	10	sensitive	sensitive	ADJ
fsr-3737	57	11	to	to	ADP
fsr-3737	57	12	interest	interest	NOUN
fsr-3737	57	13	rate	rate	NOUN
fsr-3737	57	14	changes	change	NOUN
fsr-3737	57	15	.	.	PUNCT
fsr-3737	58	1	thus	thus	ADV
fsr-3737	58	2	,	,	PUNCT
fsr-3737	58	3	knowledge	knowledge	NOUN
fsr-3737	58	4	of	of	ADP
fsr-3737	58	5	a	a	DET
fsr-3737	58	6	bond	bond	NOUN
fsr-3737	58	7	’s	’s	PART
fsr-3737	58	8	duration	duration	NOUN
fsr-3737	58	9	provides	provide	VERB
fsr-3737	58	10	a	a	DET
fsr-3737	58	11	useful	useful	ADJ
fsr-3737	58	12	benchmark	benchmark	NOUN
fsr-3737	58	13	for	for	ADP
fsr-3737	58	14	comparing	compare	VERB
fsr-3737	58	15	the	the	DET
fsr-3737	58	16	riskiness	riskiness	NOUN
fsr-3737	58	17	of	of	ADP
fsr-3737	58	18	alternative	alternative	ADJ
fsr-3737	58	19	bonds	bond	NOUN
fsr-3737	58	20	.	.	PUNCT
fsr-3737	59	1	second	second	ADJ
fsr-3737	59	2	,	,	PUNCT
fsr-3737	59	3	investors	investor	NOUN
fsr-3737	59	4	with	with	ADP
fsr-3737	59	5	a	a	DET
fsr-3737	59	6	specific	specific	ADJ
fsr-3737	59	7	investment	investment	NOUN
fsr-3737	59	8	planning	planning	NOUN
fsr-3737	59	9	horizon	horizon	NOUN
fsr-3737	59	10	can	can	AUX
fsr-3737	59	11	select	select	VERB
fsr-3737	59	12	those	those	DET
fsr-3737	59	13	bonds	bond	NOUN
fsr-3737	59	14	having	have	VERB
fsr-3737	59	15	durations	duration	NOUN
fsr-3737	59	16	most	most	ADV
fsr-3737	59	17	closely	closely	ADV
fsr-3737	59	18	matching	match	VERB
fsr-3737	59	19	their	their	PRON
fsr-3737	59	20	planning	planning	NOUN
fsr-3737	59	21	horizon	horizon	NOUN
fsr-3737	59	22	.	.	PUNCT
fsr-3737	60	1	interest	interest	NOUN
fsr-3737	60	2	rate	rate	NOUN
fsr-3737	60	3	risk	risk	NOUN
fsr-3737	60	4	is	be	AUX
fsr-3737	60	5	minimized	minimize	VERB
fsr-3737	60	6	for	for	ADP
fsr-3737	60	7	bonds	bond	NOUN
fsr-3737	60	8	whose	whose	DET
fsr-3737	60	9	duration	duration	NOUN
fsr-3737	60	10	matches	match	VERB
fsr-3737	60	11	the	the	DET
fsr-3737	60	12	planning	planning	NOUN
fsr-3737	60	13	horizon	horizon	NOUN
fsr-3737	60	14	.	.	PUNCT
fsr-3737	61	1	third	third	ADJ
fsr-3737	61	2	,	,	PUNCT
fsr-3737	61	3	because	because	SCONJ
fsr-3737	61	4	the	the	DET
fsr-3737	61	5	duration	duration	NOUN
fsr-3737	61	6	of	of	ADP
fsr-3737	61	7	a	a	DET
fsr-3737	61	8	portfolio	portfolio	NOUN
fsr-3737	61	9	is	be	AUX
fsr-3737	61	10	the	the	DET
fsr-3737	61	11	weighted	weighted	ADJ
fsr-3737	61	12	average	average	NOUN
fsr-3737	61	13	of	of	ADP
fsr-3737	61	14	the	the	DET
fsr-3737	61	15	individual	individual	ADJ
fsr-3737	61	16	bond	bond	NOUN
fsr-3737	61	17	durations	duration	NOUN
fsr-3737	61	18	,	,	PUNCT
fsr-3737	61	19	investors	investor	NOUN
fsr-3737	61	20	can	can	AUX
fsr-3737	61	21	readily	readily	ADV
fsr-3737	61	22	compute	compute	VERB
fsr-3737	61	23	their	their	PRON
fsr-3737	61	24	total	total	ADJ
fsr-3737	61	25	interest	interest	NOUN
fsr-3737	61	26	rate	rate	NOUN
fsr-3737	61	27	risk	risk	NOUN
fsr-3737	61	28	exposure	exposure	NOUN
fsr-3737	61	29	from	from	ADP
fsr-3737	61	30	durations	duration	NOUN
fsr-3737	61	31	of	of	ADP
fsr-3737	61	32	the	the	DET
fsr-3737	61	33	component	component	NOUN
fsr-3737	61	34	bonds	bond	NOUN
fsr-3737	61	35	.	.	PUNCT
fsr-3737	62	1	numerous	numerous	ADJ
fsr-3737	62	2	attempts	attempt	NOUN
fsr-3737	62	3	have	have	AUX
fsr-3737	62	4	been	be	AUX
fsr-3737	62	5	made	make	VERB
fsr-3737	62	6	to	to	PART
fsr-3737	62	7	simplify	simplify	VERB
fsr-3737	62	8	the	the	DET
fsr-3737	62	9	estimation	estimation	NOUN
fsr-3737	62	10	of	of	ADP
fsr-3737	62	11	macaulay	macaulay	PROPN
fsr-3737	62	12	’s	’s	PART
fsr-3737	62	13	duration	duration	NOUN
fsr-3737	62	14	measure	measure	NOUN
fsr-3737	62	15	.	.	PUNCT
fsr-3737	63	1	jess	jess	PROPN
fsr-3737	63	2	chua	chua	PROPN
fsr-3737	63	3	(	(	PUNCT
fsr-3737	63	4	1984	1984	NUM
fsr-3737	63	5	)	)	PUNCT
fsr-3737	63	6	derived	derive	VERB
fsr-3737	63	7	a	a	DET
fsr-3737	63	8	closed	closed	ADJ
fsr-3737	63	9	-	-	PUNCT
fsr-3737	63	10	form	form	NOUN
fsr-3737	63	11	formula	formula	NOUN
fsr-3737	63	12	that	that	PRON
fsr-3737	63	13	enables	enable	VERB
fsr-3737	63	14	faster	fast	ADJ
fsr-3737	63	15	computation	computation	NOUN
fsr-3737	63	16	of	of	ADP
fsr-3737	63	17	duration	duration	NOUN
fsr-3737	63	18	.	.	PUNCT
fsr-3737	64	1	chua	chua	PROPN
fsr-3737	64	2	’s	’s	PART
fsr-3737	64	3	formula	formula	NOUN
fsr-3737	64	4	is	be	AUX
fsr-3737	64	5	:	:	PUNCT
fsr-3737	64	6	d	d	X
fsr-3737	64	7	=	=	PUNCT
fsr-3737	64	8	c[i(l	c[i(l	X
fsr-3737	64	9	+	+	NOUN
fsr-3737	64	10	yy+l	yy+l	PROPN
fsr-3737	64	11	-cl	-cl	X
fsr-3737	64	12	+	+	NOUN
fsr-3737	64	13	y>-ymvy2(1	y>-ymvy2(1	NOUN
fsr-3737	64	14	+	+	NOUN
fsr-3737	64	15	y>"l	y>"l	NOUN
fsr-3737	64	16	+	+	PROPN
fsr-3737	64	17	(	(	PUNCT
fsr-3737	64	18	~(~/(l	~(~/(l	X
fsr-3737	64	19	+	+	NOUN
fsr-3737	64	20	y)m	y)m	X
fsr-3737	64	21	b	b	X
fsr-3737	64	22	where	where	SCONJ
fsr-3737	64	23	:	:	PUNCT
fsr-3737	64	24	d	d	X
fsr-3737	64	25	=	=	PUNCT
fsr-3737	64	26	duration	duration	NOUN
fsr-3737	64	27	in	in	ADP
fsr-3737	64	28	periods	period	NOUN
fsr-3737	64	29	m	m	NOUN
fsr-3737	64	30	=	=	NOUN
fsr-3737	64	31	maturity	maturity	NOUN
fsr-3737	64	32	in	in	ADP
fsr-3737	64	33	periods	period	NOUN
fsr-3737	64	34	c	c	NOUN
fsr-3737	64	35	=	=	SYM
fsr-3737	64	36	coupon	coupon	NOUN
fsr-3737	64	37	in	in	ADP
fsr-3737	64	38	dollars	dollar	NOUN
fsr-3737	64	39	per	per	ADP
fsr-3737	64	40	period	period	NOUN
fsr-3737	64	41	f	f	PROPN
fsr-3737	65	1	=	=	NOUN
fsr-3737	65	2	face	face	NOUN
fsr-3737	65	3	value	value	NOUN
fsr-3737	65	4	y	y	PROPN
fsr-3737	65	5	=	=	PUNCT
fsr-3737	65	6	yield	yield	NOUN
fsr-3737	65	7	to	to	ADP
fsr-3737	65	8	maturity	maturity	NOUN
fsr-3737	65	9	per	per	ADP
fsr-3737	65	10	period	period	NOUN
fsr-3737	65	11	b	b	X
fsr-3737	65	12	=	=	NOUN
fsr-3737	65	13	value	value	NOUN
fsr-3737	65	14	of	of	ADP
fsr-3737	65	15	the	the	DET
fsr-3737	65	16	bond	bond	NOUN
fsr-3737	65	17	at	at	ADP
fsr-3737	65	18	y	y	PROPN
fsr-3737	65	19	caks	cak	NOUN
fsr-3737	65	20	,	,	PUNCT
fsr-3737	65	21	lane	lane	NOUN
fsr-3737	65	22	,	,	PUNCT
fsr-3737	65	23	greenleaf	greenleaf	NOUN
fsr-3737	65	24	,	,	PUNCT
fsr-3737	65	25	and	and	CCONJ
fsr-3737	65	26	joules	joule	NOUN
fsr-3737	65	27	(	(	PUNCT
fsr-3737	65	28	1985	1985	NUM
fsr-3737	65	29	)	)	PUNCT
fsr-3737	65	30	(	(	PUNCT
fsr-3737	65	31	hereafter	hereafter	ADV
fsr-3737	65	32	,	,	PUNCT
fsr-3737	65	33	clgj	clgj	ADJ
fsr-3737	65	34	)	)	PUNCT
fsr-3737	65	35	utilized	utilize	VERB
fsr-3737	65	36	the	the	DET
fsr-3737	65	37	linearity	linearity	NOUN
fsr-3737	65	38	of	of	ADP
fsr-3737	65	39	duration	duration	NOUN
fsr-3737	65	40	to	to	PART
fsr-3737	65	41	calculate	calculate	VERB
fsr-3737	65	42	duration	duration	NOUN
fsr-3737	65	43	for	for	ADP
fsr-3737	65	44	a	a	DET
fsr-3737	65	45	coupon	coupon	NOUN
fsr-3737	65	46	bond	bond	NOUN
fsr-3737	65	47	as	as	ADP
fsr-3737	65	48	a	a	DET
fsr-3737	65	49	combination	combination	NOUN
fsr-3737	65	50	of	of	ADP
fsr-3737	65	51	the	the	DET
fsr-3737	65	52	interest	interest	NOUN
fsr-3737	65	53	and	and	CCONJ
fsr-3737	65	54	matu	matu	NOUN
fsr-3737	65	55	~	~	NOUN
fsr-3737	65	56	ty	ty	NUM
fsr-3737	65	57	payments	payment	NOUN
fsr-3737	65	58	:	:	PUNCT
fsr-3737	66	1	d	d	X
fsr-3737	66	2	=	=	SYM
fsr-3737	66	3	n-(ufy	n-(ufy	NOUN
fsr-3737	66	4	)	)	PUNCT
fsr-3737	67	1	[	[	X
fsr-3737	67	2	n-(1	n-(1	NOUN
fsr-3737	67	3	+	+	NOUN
fsr-3737	67	4	y)a,,j	y)a,,j	ADJ
fsr-3737	67	5	where	where	SCONJ
fsr-3737	67	6	:	:	PUNCT
fsr-3737	67	7	d	d	X
fsr-3737	67	8	=	=	SYM
fsr-3737	67	9	duration	duration	NOUN
fsr-3737	67	10	in	in	ADP
fsr-3737	67	11	years	year	NOUN
fsr-3737	67	12	n	n	CCONJ
fsr-3737	67	13	=	=	NOUN
fsr-3737	67	14	years	year	NOUN
fsr-3737	67	15	to	to	ADP
fsr-3737	67	16	maturity	maturity	NOUN
fsr-3737	67	17	c	c	NOUN
fsr-3737	67	18	=	=	SYM
fsr-3737	67	19	yearly	yearly	ADJ
fsr-3737	67	20	coupon	coupon	NOUN
fsr-3737	67	21	payment	payment	NOUN
fsr-3737	67	22	p	p	NOUN
fsr-3737	67	23	=	=	NOUN
fsr-3737	67	24	market	market	NOUN
fsr-3737	67	25	price	price	NOUN
fsr-3737	67	26	of	of	ADP
fsr-3737	67	27	bond	bond	NOUN
fsr-3737	67	28	y	y	PROPN
fsr-3737	67	29	=	=	NOUN
fsr-3737	67	30	yield	yield	NOUN
fsr-3737	67	31	to	to	ADP
fsr-3737	67	32	maturity	maturity	NOUN
fsr-3737	67	33	in	in	ADP
fsr-3737	67	34	annual	annual	ADJ
fsr-3737	67	35	terms	term	NOUN
fsr-3737	67	36	(	(	PUNCT
fsr-3737	67	37	all	all	DET
fsr-3737	67	38	periods	period	NOUN
fsr-3737	67	39	in	in	ADP
fsr-3737	67	40	clgj	clgj	NOUN
fsr-3737	67	41	are	be	AUX
fsr-3737	67	42	annual	annual	ADJ
fsr-3737	67	43	periods	period	NOUN
fsr-3737	67	44	)	)	PUNCT
fsr-3737	67	45	an	an	DET
fsr-3737	67	46	=	=	SYM
fsr-3737	67	47	present	present	ADJ
fsr-3737	67	48	value	value	NOUN
fsr-3737	67	49	of	of	ADP
fsr-3737	67	50	an	an	DET
fsr-3737	67	51	annuity	annuity	NOUN
fsr-3737	67	52	yielding	yield	VERB
fsr-3737	67	53	y	y	PROPN
fsr-3737	67	54	for	for	ADP
fsr-3737	67	55	n	n	NUM
fsr-3737	67	56	years	year	NOUN
fsr-3737	67	57	moser	moser	PROPN
fsr-3737	67	58	and	and	CCONJ
fsr-3737	67	59	lindley	lindley	PROPN
fsr-3737	67	60	(	(	PUNCT
fsr-3737	67	61	1989	1989	NUM
fsr-3737	67	62	)	)	PUNCT
fsr-3737	67	63	adapted	adapt	VERB
fsr-3737	67	64	the	the	DET
fsr-3737	67	65	clgj	clgj	ADJ
fsr-3737	67	66	formula	formula	NOUN
fsr-3737	67	67	to	to	ADP
fsr-3737	67	68	the	the	DET
fsr-3737	67	69	case	case	NOUN
fsr-3737	67	70	of	of	ADP
fsr-3737	67	71	multiple	multiple	ADJ
fsr-3737	67	72	coupons	coupon	NOUN
fsr-3737	67	73	per	per	ADP
fsr-3737	67	74	year	year	NOUN
fsr-3737	67	75	with	with	ADP
fsr-3737	67	76	the	the	DET
fsr-3737	67	77	following	follow	VERB
fsr-3737	67	78	:	:	PUNCT
fsr-3737	67	79	d	d	X
fsr-3737	67	80	-	-	PUNCT
fsr-3737	67	81	n	n	CCONJ
fsr-3737	67	82	-	-	PUNCT
fsr-3737	67	83	c	c	NOUN
fsr-3737	67	84	/	/	SYM
fsr-3737	67	85	py[n-(1	py[n-(1	NOUN
fsr-3737	67	86	+	+	NOUN
fsr-3737	67	87	y	y	PROPN
fsr-3737	67	88	/	/	SYM
fsr-3737	67	89	k)]a,/k	k)]a,/k	NOUN
fsr-3737	67	90	]	]	X
fsr-3737	67	91	where	where	SCONJ
fsr-3737	67	92	y	y	PROPN
fsr-3737	67	93	/	/	SYM
fsr-3737	67	94	k	k	PROPN
fsr-3737	67	95	is	be	AUX
fsr-3737	67	96	the	the	DET
fsr-3737	67	97	rate	rate	NOUN
fsr-3737	67	98	per	per	ADP
fsr-3737	67	99	period	period	NOUN
fsr-3737	67	100	and	and	CCONJ
fsr-3737	67	101	kn	kn	PROPN
fsr-3737	67	102	is	be	AUX
fsr-3737	67	103	the	the	DET
fsr-3737	67	104	total	total	ADJ
fsr-3737	67	105	number	number	NOUN
fsr-3737	67	106	of	of	ADP
fsr-3737	67	107	periods	period	NOUN
fsr-3737	67	108	.	.	PUNCT
fsr-3737	68	1	benesh	benesh	VERB
fsr-3737	68	2	and	and	CCONJ
fsr-3737	68	3	celec	celec	NOUN
fsr-3737	68	4	(	(	PUNCT
fsr-3737	68	5	1984	1984	NUM
fsr-3737	68	6	)	)	PUNCT
fsr-3737	68	7	offered	offer	VERB
fsr-3737	68	8	the	the	DET
fsr-3737	68	9	following	following	ADJ
fsr-3737	68	10	simplified	simplified	ADJ
fsr-3737	68	11	formula	formula	NOUN
fsr-3737	68	12	with	with	ADP
fsr-3737	68	13	the	the	DET
fsr-3737	68	14	alternative	alternative	ADJ
fsr-3737	68	15	assumption	assumption	NOUN
fsr-3737	68	16	that	that	SCONJ
fsr-3737	68	17	annual	annual	ADJ
fsr-3737	68	18	yields	yield	NOUN
fsr-3737	68	19	are	be	AUX
fsr-3737	68	20	arrived	arrive	VERB
fsr-3737	68	21	at	at	ADP
fsr-3737	68	22	by	by	ADP
fsr-3737	68	23	com	com	NOUN
fsr-3737	68	24	~	~	VERB
fsr-3737	68	25	unding	unde	VERB
fsr-3737	68	26	periodic	periodic	ADJ
fsr-3737	68	27	yields	yield	NOUN
fsr-3737	68	28	rather	rather	ADV
fsr-3737	68	29	than	than	ADP
fsr-3737	68	30	the	the	DET
fsr-3737	68	31	usual	usual	ADJ
fsr-3737	68	32	assumption	assumption	NOUN
fsr-3737	68	33	that	that	SCONJ
fsr-3737	68	34	annual	annual	ADJ
fsr-3737	68	35	yields	yield	NOUN
fsr-3737	68	36	are	be	AUX
fsr-3737	68	37	computed	compute	VERB
fsr-3737	68	38	by	by	ADP
fsr-3737	68	39	multiplying	multiply	VERB
fsr-3737	68	40	the	the	DET
fsr-3737	68	41	periodic	periodic	ADJ
fsr-3737	68	42	yield	yield	NOUN
fsr-3737	68	43	by	by	ADP
fsr-3737	68	44	the	the	DET
fsr-3737	68	45	number	number	NOUN
fsr-3737	68	46	of	of	ADP
fsr-3737	68	47	periods	period	NOUN
fsr-3737	68	48	per	per	ADP
fsr-3737	68	49	year	year	NOUN
fsr-3737	68	50	:	:	PUNCT
fsr-3737	69	1	d	d	X
fsr-3737	69	2	=	=	PUNCT
fsr-3737	69	3	l	l	NOUN
fsr-3737	69	4	/	/	SYM
fsr-3737	69	5	m	m	VERB
fsr-3737	69	6	+	+	ADP
fsr-3737	69	7	c	c	X
fsr-3737	69	8	/	/	SYM
fsr-3737	69	9	k[(acf	k[(acf	PROPN
fsr-3737	69	10	,	,	PUNCT
fsr-3737	69	11	,	,	PUNCT
fsr-3737	69	12	n	n	CCONJ
fsr-3737	69	13	)	)	PUNCT
fsr-3737	69	14	+	+	CCONJ
fsr-3737	69	15	(	(	PUNCT
fsr-3737	69	16	n	n	X
fsr-3737	69	17	l	l	NOUN
fsr-3737	69	18	)	)	PUNCT
fsr-3737	69	19	]	]	PUNCT
fsr-3737	69	20	/	/	PUNCT
fsr-3737	70	1	[	[	X
fsr-3737	70	2	cacf	cacf	NOUN
fsr-3737	70	3	,	,	PUNCT
fsr-3737	70	4	+	+	X
fsr-3737	70	5	m	m	X
fsr-3737	70	6	]	]	X
fsr-3737	70	7	where	where	SCONJ
fsr-3737	70	8	:	:	PUNCT
fsr-3737	70	9	acf,,=	acf,,=	NOUN
fsr-3737	70	10	(	(	PUNCT
fsr-3737	70	11	m	m	NOUN
fsr-3737	70	12	/	/	SYM
fsr-3737	70	13	k)[(l	k)[(l	VERB
fsr-3737	70	14	+	+	PROPN
fsr-3737	70	15	k	k	X
fsr-3737	70	16	/	/	SYM
fsr-3737	70	17	m)“i	m)“i	ADJ
fsr-3737	70	18	]	]	PUNCT
fsr-3737	70	19	c	c	NOUN
fsr-3737	70	20	=	=	SYM
fsr-3737	70	21	annual	annual	ADJ
fsr-3737	70	22	coupon	coupon	NOUN
fsr-3737	70	23	rate	rate	NOUN
fsr-3737	70	24	k	k	NOUN
fsr-3737	70	25	=	=	PUNCT
fsr-3737	70	26	annualized	annualize	VERB
fsr-3737	70	27	yield	yield	NOUN
fsr-3737	70	28	to	to	ADP
fsr-3737	70	29	maturity	maturity	NOUN
fsr-3737	70	30	from	from	ADP
fsr-3737	70	31	compounding	compound	VERB
fsr-3737	70	32	periodic	periodic	NOUN
fsr-3737	70	33	~~	~~	PUNCT
fsr-3737	70	34	a	a	DET
fsr-3737	70	35	simplified	simplified	ADJ
fsr-3737	70	36	approach	approach	NOUN
fsr-3737	70	37	to	to	ADP
fsr-3737	70	38	measuring	measure	VERB
fsr-3737	70	39	bond	bond	NOUN
fsr-3737	70	40	duration	duration	NOUN
fsr-3737	70	41	35	35	NUM
fsr-3737	70	42	m	m	NOUN
fsr-3737	70	43	=	=	NOUN
fsr-3737	70	44	number	number	NOUN
fsr-3737	70	45	of	of	ADP
fsr-3737	70	46	payments	payment	NOUN
fsr-3737	70	47	per	per	ADP
fsr-3737	70	48	year	year	NOUN
fsr-3737	70	49	n	n	NOUN
fsr-3737	70	50	=	=	NUM
fsr-3737	70	51	total	total	ADJ
fsr-3737	70	52	number	number	NOUN
fsr-3737	70	53	of	of	ADP
fsr-3737	70	54	payments	payment	NOUN
fsr-3737	70	55	remaining	remain	VERB
fsr-3737	70	56	until	until	ADP
fsr-3737	70	57	maturity	maturity	NOUN
fsr-3737	70	58	the	the	DET
fsr-3737	70	59	choices	choice	NOUN
fsr-3737	70	60	for	for	ADP
fsr-3737	70	61	calculating	calculate	VERB
fsr-3737	70	62	duration	duration	NOUN
fsr-3737	70	63	boil	boil	VERB
fsr-3737	70	64	down	down	ADP
fsr-3737	70	65	to	to	ADP
fsr-3737	70	66	the	the	DET
fsr-3737	70	67	original	original	ADJ
fsr-3737	70	68	procedure	procedure	NOUN
fsr-3737	70	69	involving	involve	VERB
fsr-3737	70	70	numerous	numerous	ADJ
fsr-3737	70	71	weighted	weight	VERB
fsr-3737	70	72	present	present	ADJ
fsr-3737	70	73	value	value	NOUN
fsr-3737	70	74	calculations	calculation	NOUN
fsr-3737	70	75	or	or	CCONJ
fsr-3737	70	76	the	the	DET
fsr-3737	70	77	above	above	ADJ
fsr-3737	70	78	“	"	PUNCT
fsr-3737	70	79	simplified	simplified	ADJ
fsr-3737	70	80	”	"	PUNCT
fsr-3737	70	81	formulas	formula	NOUN
fsr-3737	70	82	.	.	PUNCT
fsr-3737	71	1	all	all	PRON
fsr-3737	71	2	of	of	ADP
fsr-3737	71	3	the	the	DET
fsr-3737	71	4	choices	choice	NOUN
fsr-3737	71	5	are	be	AUX
fsr-3737	71	6	daunting	daunt	VERB
fsr-3737	71	7	for	for	ADP
fsr-3737	71	8	the	the	DET
fsr-3737	71	9	typical	typical	ADJ
fsr-3737	71	10	individual	individual	ADJ
fsr-3737	71	11	investor	investor	NOUN
fsr-3737	71	12	.	.	PUNCT
fsr-3737	72	1	to	to	PART
fsr-3737	72	2	address	address	VERB
fsr-3737	72	3	this	this	DET
fsr-3737	72	4	problem	problem	NOUN
fsr-3737	72	5	,	,	PUNCT
fsr-3737	72	6	the	the	DET
fsr-3737	72	7	following	follow	VERB
fsr-3737	72	8	section	section	NOUN
fsr-3737	72	9	develops	develop	VERB
fsr-3737	72	10	a	a	DET
fsr-3737	72	11	simplified	simplified	ADJ
fsr-3737	72	12	procedure	procedure	NOUN
fsr-3737	72	13	for	for	ADP
fsr-3737	72	14	calculating	calculate	VERB
fsr-3737	72	15	duration	duration	NOUN
fsr-3737	72	16	that	that	PRON
fsr-3737	72	17	is	be	AUX
fsr-3737	72	18	“	"	PUNCT
fsr-3737	72	19	truly	truly	ADV
fsr-3737	72	20	”	"	PUNCT
fsr-3737	72	21	simple	simple	ADJ
fsr-3737	72	22	.	.	PUNCT
fsr-3737	73	1	iii	iii	X
fsr-3737	73	2	.	.	PUNCT
fsr-3737	73	3	derivation	derivation	NOUN
fsr-3737	73	4	of	of	ADP
fsr-3737	73	5	simplified	simplified	ADJ
fsr-3737	73	6	duration	duration	NOUN
fsr-3737	73	7	formula	formula	NOUN
fsr-3737	73	8	most	most	ADJ
fsr-3737	73	9	individual	individual	ADJ
fsr-3737	73	10	investors	investor	NOUN
fsr-3737	73	11	have	have	VERB
fsr-3737	73	12	access	access	NOUN
fsr-3737	73	13	to	to	ADP
fsr-3737	73	14	a	a	DET
fsr-3737	73	15	financial	financial	ADJ
fsr-3737	73	16	calculator	calculator	NOUN
fsr-3737	73	17	and	and	CCONJ
fsr-3737	73	18	are	be	AUX
fsr-3737	73	19	capable	capable	ADJ
fsr-3737	73	20	of	of	ADP
fsr-3737	73	21	calculating	calculate	VERB
fsr-3737	73	22	a	a	DET
fsr-3737	73	23	bond	bond	NOUN
fsr-3737	73	24	price	price	NOUN
fsr-3737	73	25	.	.	PUNCT
fsr-3737	74	1	if	if	SCONJ
fsr-3737	74	2	not	not	PART
fsr-3737	74	3	,	,	PUNCT
fsr-3737	74	4	learning	learn	VERB
fsr-3737	74	5	to	to	PART
fsr-3737	74	6	do	do	VERB
fsr-3737	74	7	so	so	ADV
fsr-3737	74	8	is	be	AUX
fsr-3737	74	9	quite	quite	ADV
fsr-3737	74	10	simple	simple	ADJ
fsr-3737	74	11	.	.	PUNCT
fsr-3737	75	1	the	the	DET
fsr-3737	75	2	derivation	derivation	NOUN
fsr-3737	75	3	of	of	ADP
fsr-3737	75	4	the	the	DET
fsr-3737	75	5	simplified	simplified	ADJ
fsr-3737	75	6	formula	formula	NOUN
fsr-3737	75	7	is	be	AUX
fsr-3737	75	8	based	base	VERB
fsr-3737	75	9	on	on	ADP
fsr-3737	75	10	figure	figure	NOUN
fsr-3737	75	11	2	2	NUM
fsr-3737	75	12	and	and	CCONJ
fsr-3737	75	13	the	the	DET
fsr-3737	75	14	definition	definition	NOUN
fsr-3737	75	15	of	of	ADP
fsr-3737	75	16	duration	duration	NOUN
fsr-3737	75	17	as	as	ADP
fsr-3737	75	18	the	the	DET
fsr-3737	75	19	negative	negative	ADJ
fsr-3737	75	20	interest	interest	NOUN
fsr-3737	75	21	rate	rate	NOUN
fsr-3737	75	22	elasticity	elasticity	NOUN
fsr-3737	75	23	of	of	ADP
fsr-3737	75	24	the	the	DET
fsr-3737	75	25	bond	bond	NOUN
fsr-3737	75	26	price	price	NOUN
fsr-3737	75	27	.	.	PUNCT
fsr-3737	76	1	at	at	ADP
fsr-3737	76	2	the	the	DET
fsr-3737	76	3	market	market	NOUN
fsr-3737	76	4	yield	yield	NOUN
fsr-3737	76	5	-	-	PUNCT
fsr-3737	76	6	to	to	ADP
fsr-3737	76	7	-	-	PUNCT
fsr-3737	76	8	maturity	maturity	NOUN
fsr-3737	76	9	,	,	PUNCT
fsr-3737	76	10	i	i	PRON
fsr-3737	76	11	,	,	PUNCT
fsr-3737	76	12	a	a	DET
fsr-3737	76	13	bond	bond	NOUN
fsr-3737	76	14	would	would	AUX
fsr-3737	76	15	be	be	AUX
fsr-3737	76	16	priced	price	VERB
fsr-3737	76	17	at	at	ADP
fsr-3737	76	18	pa	pa	PROPN
fsr-3737	76	19	.	.	PUNCT
fsr-3737	77	1	the	the	DET
fsr-3737	77	2	modified	modify	VERB
fsr-3737	77	3	duration	duration	NOUN
fsr-3737	77	4	for	for	ADP
fsr-3737	77	5	a	a	DET
fsr-3737	77	6	bond	bond	NOUN
fsr-3737	77	7	is	be	AUX
fsr-3737	77	8	related	relate	VERB
fsr-3737	77	9	to	to	ADP
fsr-3737	77	10	the	the	DET
fsr-3737	77	11	slope	slope	NOUN
fsr-3737	77	12	of	of	ADP
fsr-3737	77	13	the	the	DET
fsr-3737	77	14	tangent	tangent	ADJ
fsr-3737	77	15	line	line	NOUN
fsr-3737	77	16	at	at	ADP
fsr-3737	77	17	m.	m.	NOUN
fsr-3737	77	18	however	however	ADV
fsr-3737	77	19	,	,	PUNCT
fsr-3737	77	20	for	for	ADP
fsr-3737	77	21	small	small	ADJ
fsr-3737	77	22	changes	change	NOUN
fsr-3737	77	23	in	in	ADP
fsr-3737	77	24	i	i	PRON
fsr-3737	77	25	,	,	PUNCT
fsr-3737	77	26	the	the	DET
fsr-3737	77	27	slope	slope	NOUN
fsr-3737	77	28	of	of	ADP
fsr-3737	77	29	that	that	DET
fsr-3737	77	30	tangent	tangent	NOUN
fsr-3737	77	31	line	line	NOUN
fsr-3737	77	32	at	at	ADP
fsr-3737	77	33	point	point	NOUN
fsr-3737	77	34	m	m	VERB
fsr-3737	77	35	is	be	AUX
fsr-3737	77	36	equal	equal	ADJ
fsr-3737	77	37	to	to	ADP
fsr-3737	77	38	the	the	DET
fsr-3737	77	39	slope	slope	NOUN
fsr-3737	77	40	of	of	ADP
fsr-3737	77	41	the	the	DET
fsr-3737	77	42	line	line	NOUN
fsr-3737	77	43	drawn	draw	VERB
fsr-3737	77	44	from	from	ADP
fsr-3737	77	45	point	point	NOUN
fsr-3737	77	46	l	l	NOUN
fsr-3737	77	47	to	to	PART
fsr-3737	77	48	point	point	VERB
fsr-3737	77	49	m.	m.	NOUN
fsr-3737	77	50	thus	thus	ADV
fsr-3737	77	51	,	,	PUNCT
fsr-3737	77	52	it	it	PRON
fsr-3737	77	53	follows	follow	VERB
fsr-3737	77	54	:	:	PUNCT
fsr-3737	77	55	and	and	CCONJ
fsr-3737	77	56	slope	slope	NOUN
fsr-3737	77	57	of	of	ADP
fsr-3737	77	58	tangent	tangent	NOUN
fsr-3737	77	59	line	line	NOUN
fsr-3737	77	60	=	=	SYM
fsr-3737	77	61	(	(	PUNCT
fsr-3737	77	62	p+-p	p+-p	PROPN
fsr-3737	77	63	_	_	NOUN
fsr-3737	77	64	)	)	PUNCT
fsr-3737	77	65	/	/	SYM
fsr-3737	77	66	(	(	PUNCT
fsr-3737	77	67	2ai	2ai	ADJ
fsr-3737	77	68	)	)	PUNCT
fsr-3737	77	69	=	=	SYM
fsr-3737	77	70	(	(	PUNCT
fsr-3737	77	71	po	po	NOUN
fsr-3737	77	72	-	-	NOUN
fsr-3737	77	73	p.	p.	NOUN
fsr-3737	77	74	)	)	PUNCT
fsr-3737	77	75	/	/	PUNCT
fsr-3737	78	1	ai	ai	PROPN
fsr-3737	78	2	=	=	PUNCT
fsr-3737	78	3	(	(	PUNCT
fsr-3737	78	4	p+-po	p+-po	NOUN
fsr-3737	78	5	)	)	PUNCT
fsr-3737	78	6	/	/	SYM
fsr-3737	78	7	ai	ai	VERB
fsr-3737	78	8	slope	slope	NOUN
fsr-3737	78	9	of	of	ADP
fsr-3737	78	10	line	line	NOUN
fsr-3737	78	11	from	from	ADP
fsr-3737	78	12	l	l	NOUN
fsr-3737	78	13	to	to	ADP
fsr-3737	78	14	m	m	PROPN
fsr-3737	78	15	=	=	SYM
fsr-3737	78	16	(	(	PUNCT
fsr-3737	78	17	m	m	PROPN
fsr-3737	78	18	l	l	NOUN
fsr-3737	78	19	)	)	PUNCT
fsr-3737	78	20	/	/	PUNCT
fsr-3737	79	1	ai	ai	VERB
fsr-3737	79	2	therefore	therefore	ADV
fsr-3737	79	3	:	:	PUNCT
fsr-3737	79	4	lim	lim	PROPN
fsr-3737	79	5	(	(	PUNCT
fsr-3737	79	6	l	l	NOUN
fsr-3737	79	7	-	-	PUNCT
fsr-3737	79	8	m)/ai	m)/ai	PROPN
fsr-3737	79	9	lim	lim	PROPN
fsr-3737	79	10	(	(	PUNCT
fsr-3737	79	11	m	m	NOUN
fsr-3737	79	12	-	-	PUNCT
fsr-3737	79	13	l/)/ai	l/)/ai	NOUN
fsr-3737	79	14	’	'	PUNCT
fsr-3737	79	15	lim	lim	PROPN
fsr-3737	79	16	(	(	PUNCT
fsr-3737	79	17	p_-p+)/a2i	p_-p+)/a2i	PROPN
fsr-3737	79	18	)	)	PUNCT
fsr-3737	79	19	ai	ai	PROPN
fsr-3737	79	20	-	-	PUNCT
fsr-3737	79	21	sl	sl	PROPN
fsr-3737	79	22	ai+0	ai+0	NOUN
fsr-3737	80	1	=	=	SYM
fsr-3737	80	2	=	=	X
fsr-3737	80	3	ai-0	ai-0	NUM
fsr-3737	80	4	po	po	PROPN
fsr-3737	80	5	po	po	X
fsr-3737	80	6	po	po	PROPN
fsr-3737	80	7	=	=	SYM
fsr-3737	80	8	modified	modify	VERB
fsr-3737	80	9	duration	duration	NOUN
fsr-3737	80	10	therefore	therefore	ADV
fsr-3737	80	11	:	:	PUNCT
fsr-3737	80	12	d	d	X
fsr-3737	80	13	(	(	PUNCT
fsr-3737	80	14	l	l	NOUN
fsr-3737	80	15	-	-	ADJ
fsr-3737	80	16	m)/ai	m)/ai	ADJ
fsr-3737	80	17	mod	mod	NOUN
fsr-3737	80	18	=	=	SYM
fsr-3737	80	19	(	(	PUNCT
fsr-3737	80	20	1	1	X
fsr-3737	80	21	)	)	PUNCT
fsr-3737	80	22	po	po	NOUN
fsr-3737	80	23	also	also	ADV
fsr-3737	80	24	,	,	PUNCT
fsr-3737	80	25	convexity	convexity	NOUN
fsr-3737	80	26	is	be	AUX
fsr-3737	80	27	proportional	proportional	ADJ
fsr-3737	80	28	to	to	ADP
fsr-3737	80	29	the	the	DET
fsr-3737	80	30	change	change	NOUN
fsr-3737	80	31	in	in	ADP
fsr-3737	80	32	slope	slope	NOUN
fsr-3737	80	33	at	at	ADP
fsr-3737	80	34	point	point	NOUN
fsr-3737	80	35	m	m	PROPN
fsr-3737	80	36	:	:	PUNCT
fsr-3737	80	37	convexity	convexity	NOUN
fsr-3737	80	38	=	=	SYM
fsr-3737	80	39	(	(	PUNCT
fsr-3737	80	40	slope	slope	NOUN
fsr-3737	80	41	”	"	PUNCT
fsr-3737	80	42	slopel)lai	slopel)lai	NOUN
fsr-3737	80	43	(	(	PUNCT
fsr-3737	80	44	2	2	NUM
fsr-3737	80	45	)	)	PUNCT
fsr-3737	80	46	po	po	NOUN
fsr-3737	80	47	and	and	CCONJ
fsr-3737	80	48	,	,	PUNCT
fsr-3737	80	49	from	from	ADP
fsr-3737	80	50	figure	figure	NOUN
fsr-3737	80	51	2	2	NUM
fsr-3737	80	52	,	,	PUNCT
fsr-3737	80	53	we	we	PRON
fsr-3737	80	54	see	see	VERB
fsr-3737	80	55	that	that	SCONJ
fsr-3737	80	56	:	:	PUNCT
fsr-3737	80	57	convexity	convexity	NOUN
fsr-3737	80	58	=	=	SYM
fsr-3737	80	59	-(m	-(m	X
fsr-3737	80	60	-	-	PUNCT
fsr-3737	80	61	lj)/ai	lj)/ai	ADJ
fsr-3737	80	62	[	[	X
fsr-3737	80	63	-(l	-(l	X
fsr-3737	80	64	-	-	PUNCT
fsr-3737	80	65	m)]/ai	m)]/ai	PRON
fsr-3737	80	66	=	=	SYM
fsr-3737	80	67	l+u-2	l+u-2	PROPN
fsr-3737	80	68	m	m	PROPN
fsr-3737	80	69	po	po	NOUN
fsr-3737	80	70	p&i	p&i	PROPN
fsr-3737	80	71	duration	duration	NOUN
fsr-3737	80	72	is	be	AUX
fsr-3737	80	73	reported	report	VERB
fsr-3737	80	74	in	in	ADP
fsr-3737	80	75	terms	term	NOUN
fsr-3737	80	76	of	of	ADP
fsr-3737	80	77	a	a	DET
fsr-3737	80	78	number	number	NOUN
fsr-3737	80	79	of	of	ADP
fsr-3737	80	80	periods	period	NOUN
fsr-3737	80	81	while	while	SCONJ
fsr-3737	80	82	the	the	DET
fsr-3737	80	83	units	unit	NOUN
fsr-3737	80	84	of	of	ADP
fsr-3737	80	85	convexity	convexity	NOUN
fsr-3737	80	86	are	be	AUX
fsr-3737	80	87	periods	period	NOUN
fsr-3737	80	88	squared	square	VERB
fsr-3737	80	89	.	.	PUNCT
fsr-3737	81	1	with	with	ADP
fsr-3737	81	2	semi	semi	ADJ
fsr-3737	81	3	-	-	ADJ
fsr-3737	81	4	annual	annual	ADJ
fsr-3737	81	5	coupons	coupon	NOUN
fsr-3737	81	6	,	,	PUNCT
fsr-3737	81	7	duration	duration	NOUN
fsr-3737	81	8	would	would	AUX
fsr-3737	81	9	be	be	AUX
fsr-3737	81	10	in	in	ADP
fsr-3737	81	11	terms	term	NOUN
fsr-3737	81	12	of	of	ADP
fsr-3737	81	13	half	half	ADJ
fsr-3737	81	14	-	-	PUNCT
fsr-3737	81	15	years	year	NOUN
fsr-3737	81	16	,	,	PUNCT
fsr-3737	81	17	while	while	SCONJ
fsr-3737	81	18	convexity	convexity	NOUN
fsr-3737	81	19	is	be	AUX
fsr-3737	81	20	in	in	ADP
fsr-3737	81	21	terms	term	NOUN
fsr-3737	81	22	of	of	ADP
fsr-3737	81	23	half	half	ADJ
fsr-3737	81	24	-	-	PUNCT
fsr-3737	81	25	years	year	NOUN
fsr-3737	81	26	squared	square	VERB
fsr-3737	81	27	.	.	PUNCT
fsr-3737	82	1	thus	thus	ADV
fsr-3737	82	2	,	,	PUNCT
fsr-3737	82	3	with	with	ADP
fsr-3737	82	4	semi	semi	ADJ
fsr-3737	82	5	-	-	ADJ
fsr-3737	82	6	annual	annual	ADJ
fsr-3737	82	7	coupons	coupon	NOUN
fsr-3737	82	8	,	,	PUNCT
fsr-3737	82	9	semi	semi	ADJ
fsr-3737	82	10	-	-	ADJ
fsr-3737	82	11	annual	annual	ADJ
fsr-3737	82	12	duration	duration	NOUN
fsr-3737	82	13	is	be	AUX
fsr-3737	82	14	divided	divide	VERB
fsr-3737	82	15	by	by	ADP
fsr-3737	82	16	2	2	NUM
fsr-3737	82	17	to	to	PART
fsr-3737	82	18	arrive	arrive	VERB
fsr-3737	82	19	at	at	ADP
fsr-3737	82	20	duration	duration	NOUN
fsr-3737	82	21	in	in	ADP
fsr-3737	82	22	years	year	NOUN
fsr-3737	82	23	while	while	SCONJ
fsr-3737	82	24	convexity	convexity	NOUN
fsr-3737	82	25	is	be	AUX
fsr-3737	82	26	divided	divide	VERB
fsr-3737	82	27	by	by	ADP
fsr-3737	82	28	4	4	NUM
fsr-3737	82	29	.	.	NOUN
fsr-3737	82	30	36	36	NUM
fsr-3737	82	31	financial	financial	ADJ
fsr-3737	82	32	services	service	NOUN
fsr-3737	82	33	review	review	VERB
fsr-3737	82	34	4(l	4(l	NUM
fsr-3737	82	35	)	)	PUNCT
fsr-3737	82	36	1995	1995	NUM
fsr-3737	82	37	price	price	NOUN
fsr-3737	82	38	$	$	SYM
fsr-3737	82	39	p	p	NOUN
fsr-3737	82	40	_	_	PUNCT
fsr-3737	82	41	-	-	PUNCT
fsr-3737	82	42	’	'	PUNCT
fsr-3737	82	43	p,=m	p,=m	NOUN
fsr-3737	82	44	-	-	PUNCT
fsr-3737	82	45	.	.	PUNCT
fsr-3737	83	1	u	u	PROPN
fsr-3737	83	2	-	-	PUNCT
fsr-3737	83	3	’	'	PUNCT
fsr-3737	83	4	p+	p+	NOUN
fsr-3737	83	5	-	-	PUNCT
fsr-3737	83	6	’	'	PUNCT
fsr-3737	83	7	tangent	tangent	NOUN
fsr-3737	83	8	slope	slope	NOUN
fsr-3737	83	9	=	=	SYM
fsr-3737	83	10	-d	-d	PROPN
fsr-3737	83	11	(	(	PUNCT
fsr-3737	83	12	p+-pjai	p+-pjai	NOUN
fsr-3737	83	13	x	x	X
fsr-3737	83	14	po/(1	po/(1	NUM
fsr-3737	84	1	+	+	ADJ
fsr-3737	84	2	i	i	NOUN
fsr-3737	84	3	)	)	PUNCT
fsr-3737	84	4	i	i	PRON
fsr-3737	84	5	-	-	PUNCT
fsr-3737	84	6	ai	ai	AUX
fsr-3737	85	1	i	i	PRON
fsr-3737	85	2	i+ai	i+ai	ADJ
fsr-3737	85	3	figure	figure	NOUN
fsr-3737	85	4	2	2	NUM
fsr-3737	85	5	.	.	PUNCT
fsr-3737	85	6	price	price	NOUN
fsr-3737	85	7	/	/	SYM
fsr-3737	85	8	yield	yield	NOUN
fsr-3737	85	9	curve	curve	NOUN
fsr-3737	85	10	yield	yield	NOUN
fsr-3737	85	11	to	to	ADP
fsr-3737	85	12	maturity	maturity	NOUN
fsr-3737	85	13	it	it	PRON
fsr-3737	85	14	should	should	AUX
fsr-3737	85	15	be	be	AUX
fsr-3737	85	16	noted	note	VERB
fsr-3737	85	17	that	that	SCONJ
fsr-3737	85	18	the	the	DET
fsr-3737	85	19	above	above	ADJ
fsr-3737	85	20	calculations	calculation	NOUN
fsr-3737	85	21	for	for	ADP
fsr-3737	85	22	duration	duration	NOUN
fsr-3737	85	23	and	and	CCONJ
fsr-3737	85	24	convexity	convexity	NOUN
fsr-3737	85	25	hold	hold	NOUN
fsr-3737	85	26	for	for	ADP
fsr-3737	85	27	general	general	ADJ
fsr-3737	85	28	conditions	condition	NOUN
fsr-3737	85	29	about	about	ADP
fsr-3737	85	30	the	the	DET
fsr-3737	85	31	shape	shape	NOUN
fsr-3737	85	32	of	of	ADP
fsr-3737	85	33	the	the	DET
fsr-3737	85	34	yield	yield	NOUN
fsr-3737	85	35	curve	curve	NOUN
fsr-3737	85	36	.	.	PUNCT
fsr-3737	86	1	in	in	ADP
fsr-3737	86	2	particular	particular	ADJ
fsr-3737	86	3	,	,	PUNCT
fsr-3737	86	4	macaulay	macaulay	PROPN
fsr-3737	86	5	’s	’s	PART
fsr-3737	86	6	duration	duration	NOUN
fsr-3737	86	7	assumes	assume	VERB
fsr-3737	86	8	that	that	SCONJ
fsr-3737	86	9	the	the	DET
fsr-3737	86	10	yield	yield	NOUN
fsr-3737	86	11	curve	curve	NOUN
fsr-3737	86	12	is	be	AUX
fsr-3737	86	13	flat	flat	ADJ
fsr-3737	86	14	and	and	CCONJ
fsr-3737	86	15	that	that	SCONJ
fsr-3737	86	16	changes	change	NOUN
fsr-3737	86	17	in	in	ADP
fsr-3737	86	18	the	the	DET
fsr-3737	86	19	level	level	NOUN
fsr-3737	86	20	of	of	ADP
fsr-3737	86	21	interest	interest	NOUN
fsr-3737	86	22	rates	rate	NOUN
fsr-3737	86	23	result	result	VERB
fsr-3737	86	24	in	in	ADP
fsr-3737	86	25	parallel	parallel	ADJ
fsr-3737	86	26	shifts	shift	NOUN
fsr-3737	86	27	in	in	ADP
fsr-3737	86	28	the	the	DET
fsr-3737	86	29	yield	yield	NOUN
fsr-3737	86	30	curve	curve	NOUN
fsr-3737	86	31	.	.	PUNCT
fsr-3737	87	1	the	the	DET
fsr-3737	87	2	analytic	analytic	ADJ
fsr-3737	87	3	“	"	PUNCT
fsr-3737	87	4	simplifications	simplification	NOUN
fsr-3737	87	5	”	"	PUNCT
fsr-3737	87	6	described	describe	VERB
fsr-3737	87	7	by	by	ADP
fsr-3737	87	8	others	other	NOUN
fsr-3737	87	9	also	also	ADV
fsr-3737	87	10	rely	rely	VERB
fsr-3737	87	11	upon	upon	SCONJ
fsr-3737	87	12	these	these	DET
fsr-3737	87	13	restrictive	restrictive	ADJ
fsr-3737	87	14	assumptions	assumption	NOUN
fsr-3737	87	15	.	.	PUNCT
fsr-3737	88	1	our	our	PRON
fsr-3737	88	2	methodology	methodology	NOUN
fsr-3737	88	3	is	be	AUX
fsr-3737	88	4	more	more	ADV
fsr-3737	88	5	general	general	ADJ
fsr-3737	88	6	because	because	SCONJ
fsr-3737	88	7	we	we	PRON
fsr-3737	88	8	compute	compute	VERB
fsr-3737	88	9	duration	duration	NOUN
fsr-3737	88	10	directly	directly	ADV
fsr-3737	88	11	from	from	ADP
fsr-3737	88	12	the	the	DET
fsr-3737	88	13	prices	price	NOUN
fsr-3737	88	14	implied	imply	VERB
fsr-3737	88	15	by	by	ADP
fsr-3737	88	16	any	any	DET
fsr-3737	88	17	yield	yield	NOUN
fsr-3737	88	18	curve	curve	NOUN
fsr-3737	88	19	.	.	PUNCT
fsr-3737	89	1	thus	thus	ADV
fsr-3737	89	2	,	,	PUNCT
fsr-3737	89	3	our	our	PRON
fsr-3737	89	4	method	method	NOUN
fsr-3737	89	5	is	be	AUX
fsr-3737	89	6	not	not	PART
fsr-3737	89	7	only	only	ADV
fsr-3737	89	8	simpler	simple	ADJ
fsr-3737	89	9	but	but	CCONJ
fsr-3737	89	10	in	in	ADP
fsr-3737	89	11	general	general	ADJ
fsr-3737	89	12	more	more	ADV
fsr-3737	89	13	accurate	accurate	ADJ
fsr-3737	89	14	than	than	ADP
fsr-3737	89	15	previous	previous	ADJ
fsr-3737	89	16	methodologies	methodology	NOUN
fsr-3737	89	17	.	.	PUNCT
fsr-3737	90	1	a.	a.	NOUN
fsr-3737	90	2	example	example	NOUN
fsr-3737	90	3	of	of	ADP
fsr-3737	90	4	duration	duration	NOUN
fsr-3737	90	5	and	and	CCONJ
fsr-3737	90	6	convexity	convexity	NOUN
fsr-3737	90	7	calculations	calculation	NOUN
fsr-3737	90	8	the	the	DET
fsr-3737	90	9	simplicity	simplicity	NOUN
fsr-3737	90	10	of	of	ADP
fsr-3737	90	11	these	these	DET
fsr-3737	90	12	newly	newly	ADV
fsr-3737	90	13	derived	derive	VERB
fsr-3737	90	14	duration	duration	NOUN
fsr-3737	90	15	and	and	CCONJ
fsr-3737	90	16	convexity	convexity	NOUN
fsr-3737	90	17	calculations	calculation	NOUN
fsr-3737	90	18	is	be	AUX
fsr-3737	90	19	best	well	ADV
fsr-3737	90	20	demonstrated	demonstrate	VERB
fsr-3737	90	21	through	through	ADP
fsr-3737	90	22	an	an	DET
fsr-3737	90	23	example	example	NOUN
fsr-3737	90	24	.	.	PUNCT
fsr-3737	91	1	consider	consider	VERB
fsr-3737	91	2	an	an	DET
fsr-3737	91	3	l&year	l&year	NOUN
fsr-3737	91	4	to	to	ADP
fsr-3737	91	5	maturity	maturity	NOUN
fsr-3737	91	6	,	,	PUNCT
fsr-3737	91	7	12	12	NUM
fsr-3737	91	8	%	%	NOUN
fsr-3737	91	9	coupon	coupon	NOUN
fsr-3737	91	10	bond	bond	NOUN
fsr-3737	91	11	,	,	PUNCT
fsr-3737	91	12	which	which	PRON
fsr-3737	91	13	is	be	AUX
fsr-3737	91	14	selling	sell	VERB
fsr-3737	91	15	to	to	PART
fsr-3737	91	16	yield	yield	VERB
fsr-3737	91	17	9	9	NUM
fsr-3737	91	18	%	%	NOUN
fsr-3737	91	19	(	(	PUNCT
fsr-3737	91	20	reilly	reilly	ADV
fsr-3737	91	21	,	,	PUNCT
fsr-3737	91	22	1989	1989	NUM
fsr-3737	91	23	,	,	PUNCT
fsr-3737	91	24	p.	p.	NOUN
fsr-3737	91	25	432	432	NUM
fsr-3737	91	26	)	)	PUNCT
fsr-3737	91	27	.	.	PUNCT
fsr-3737	92	1	using	use	VERB
fsr-3737	92	2	the	the	DET
fsr-3737	92	3	traditional	traditional	ADJ
fsr-3737	92	4	procedures	procedure	NOUN
fsr-3737	92	5	,	,	PUNCT
fsr-3737	92	6	we	we	PRON
fsr-3737	92	7	find	find	VERB
fsr-3737	92	8	the	the	DET
fsr-3737	92	9	following	following	NOUN
fsr-3737	92	10	:	:	PUNCT
fsr-3737	92	11	price3	price3	X
fsr-3737	93	1	=	=	SYM
fsr-3737	93	2	1265	1265	NUM
fsr-3737	93	3	modified	modify	VERB
fsr-3737	93	4	duration	duration	NOUN
fsr-3737	93	5	=	=	NOUN
fsr-3737	93	6	8.38	8.38	NUM
fsr-3737	93	7	years	year	NOUN
fsr-3737	93	8	convexity	convexity	NOUN
fsr-3737	93	9	=	=	PUNCT
fsr-3737	93	10	107.7	107.7	NUM
fsr-3737	93	11	ai	ai	NOUN
fsr-3737	93	12	=	=	SYM
fsr-3737	93	13	100	100	NUM
fsr-3737	93	14	basis	basis	NOUN
fsr-3737	93	15	points	point	NOUN
fsr-3737	93	16	using	use	VERB
fsr-3737	93	17	the	the	DET
fsr-3737	93	18	macaulay	macaulay	NOUN
fsr-3737	93	19	steps:4	steps:4	PROPN
fsr-3737	93	20	z	z	PROPN
fsr-3737	94	1	[	[	X
fsr-3737	94	2	60	60	NUM
fsr-3737	94	3	x	x	SYM
fsr-3737	94	4	(	(	PUNCT
fsr-3737	94	5	1	1	NUM
fsr-3737	94	6	+	+	NOUN
fsr-3737	94	7	.045)-	.045)-	NOUN
fsr-3737	94	8	’	'	PUNCT
fsr-3737	94	9	x	x	SYM
fsr-3737	94	10	1	1	NUM
fsr-3737	94	11	+	+	NUM
fsr-3737	94	12	60	60	NUM
fsr-3737	94	13	x	x	SYM
fsr-3737	94	14	(	(	PUNCT
fsr-3737	94	15	1	1	NUM
fsr-3737	94	16	+	+	CCONJ
fsr-3737	94	17	,	,	PUNCT
fsr-3737	94	18	045)~	045)~	NOUN
fsr-3737	94	19	’	'	PUNCT
fsr-3737	94	20	x	x	SYM
fsr-3737	94	21	5	5	NUM
fsr-3737	94	22	duration	duration	NOUN
fsr-3737	94	23	calculation	calculation	NOUN
fsr-3737	94	24	:	:	PUNCT
fsr-3737	95	1	+	+	CCONJ
fsr-3737	95	2	60	60	NUM
fsr-3737	95	3	x	x	SYM
fsr-3737	95	4	(	(	PUNCT
fsr-3737	95	5	1	1	NUM
fsr-3737	95	6	+	+	CCONJ
fsr-3737	95	7	.045)-*x	.045)-*x	NUM
fsr-3737	95	8	2	2	NUM
fsr-3737	95	9	+	+	CCONJ
fsr-3737	95	10	60x(1	60x(1	ADJ
fsr-3737	95	11	+	+	NOUN
fsr-3737	95	12	.0415~‘x3	.0415~‘x3	NOUN
fsr-3737	95	13	+	+	CCONJ
fsr-3737	95	14	60x(1	60x(1	PROPN
fsr-3737	95	15	+	+	PROPN
fsr-3737	95	16	.o45)ax4	.o45)ax4	X
fsr-3737	95	17	+	+	CCONJ
fsr-3737	95	18	60x(1	60x(1	ADJ
fsr-3737	95	19	+	+	NOUN
fsr-3737	95	20	.o45)6x6	.o45)6x6	PROPN
fsr-3737	95	21	+	+	CCONJ
fsr-3737	95	22	60	60	NUM
fsr-3737	95	23	x	x	SYM
fsr-3737	95	24	(	(	PUNCT
fsr-3737	95	25	1	1	NUM
fsr-3737	95	26	+	+	NOUN
fsr-3737	95	27	.045)-	.045)-	NOUN
fsr-3737	95	28	’	'	PUNCT
fsr-3737	95	29	x	x	SYM
fsr-3737	95	30	7	7	NUM
fsr-3737	95	31	+	+	SYM
fsr-3737	95	32	60~(1+.045)~x8	60~(1+.045)~x8	NUM
fsr-3737	95	33	+	+	NUM
fsr-3737	95	34	.	.	PUNCT
fsr-3737	96	1	+	+	CCONJ
fsr-3737	96	2	.	.	PUNCT
fsr-3737	97	1	+	+	CCONJ
fsr-3737	97	2	.	.	PUNCT
fsr-3737	98	1	+	+	CCONJ
fsr-3737	98	2	.	.	PUNCT
fsr-3737	99	1	+	+	CCONJ
fsr-3737	100	1	60x(1+.045)-‘3x33	60x(1+.045)-‘3x33	NUM
fsr-3737	100	2	+6o~(l+.o45)-~~x34	+6o~(l+.o45)-~~x34	NOUN
fsr-3737	100	3	+60~(1+.045)-~~x35	+60~(1+.045)-~~x35	ADP
fsr-3737	100	4	+60x(1+.045)-‘6x36	+60x(1+.045)-‘6x36	NOUN
fsr-3737	100	5	+	+	NOUN
fsr-3737	100	6	1000	1000	NUM
fsr-3737	100	7	x	x	SYM
fsr-3737	100	8	(	(	PUNCT
fsr-3737	100	9	1	1	NUM
fsr-3737	100	10	+	+	NUM
fsr-3737	100	11	.o45)-36	.o45)-36	NUM
fsr-3737	100	12	x	x	SYM
fsr-3737	100	13	36]+	36]+	NUM
fsr-3737	100	14	1265	1265	NUM
fsr-3737	100	15	+	+	CCONJ
fsr-3737	100	16	2	2	NUM
fsr-3737	100	17	a	a	DET
fsr-3737	100	18	simplified	simplified	ADJ
fsr-3737	100	19	approach	approach	NOUN
fsr-3737	100	20	to	to	ADP
fsr-3737	100	21	measuring	measure	VERB
fsr-3737	100	22	bond	bond	NOUN
fsr-3737	100	23	duration	duration	NOUN
fsr-3737	100	24	37	37	NUM
fsr-3737	100	25	duration	duration	NOUN
fsr-3737	100	26	=	=	NOUN
fsr-3737	100	27	8.76	8.76	NUM
fsr-3737	100	28	modified	modify	VERB
fsr-3737	100	29	duration	duration	NOUN
fsr-3737	100	30	=	=	NOUN
fsr-3737	100	31	8.76	8.76	NUM
fsr-3737	100	32	/	/	SYM
fsr-3737	100	33	l	l	NOUN
fsr-3737	100	34	.045	.045	NUM
fsr-3737	100	35	=	=	SYM
fsr-3737	100	36	8.38	8.38	NUM
fsr-3737	100	37	convexity	convexity	NOUN
fsr-3737	100	38	calculation	calculation	NOUN
fsr-3737	100	39	:	:	PUNCT
fsr-3737	100	40	z	z	X
fsr-3737	101	1	[	[	X
fsr-3737	101	2	60x(1+.045)-‘x2	60x(1+.045)-‘x2	X
fsr-3737	101	3	+	+	SYM
fsr-3737	101	4	60x(1+.045)-‘x6	60x(1+.045)-‘x6	NUM
fsr-3737	101	5	+	+	CCONJ
fsr-3737	101	6	60x(1+.045)-‘x12	60x(1+.045)-‘x12	NUM
fsr-3737	101	7	+	+	CCONJ
fsr-3737	101	8	60x(1	60x(1	ADJ
fsr-3737	101	9	+	+	PROPN
fsr-3737	101	10	.045)ax20	.045)ax20	X
fsr-3737	101	11	+	+	CCONJ
fsr-3737	101	12	6ox(l+.o45)-5x3o	6ox(l+.o45)-5x3o	NOUN
fsr-3737	102	1	+	+	CCONJ
fsr-3737	102	2	6ox(l+.o45)“x42	6ox(l+.o45)“x42	NUM
fsr-3737	102	3	+	+	CCONJ
fsr-3737	102	4	60x(1+.045)-‘x60	60x(1+.045)-‘x60	NUM
fsr-3737	102	5	+	+	CCONJ
fsr-3737	102	6	60a(l	60a(l	NUM
fsr-3737	103	1	+	+	ADJ
fsr-3737	103	2	~m5)-~x72	~m5)-~x72	X
fsr-3737	103	3	+	+	X
fsr-3737	103	4	.	.	PUNCT
fsr-3737	103	5	.	.	PUNCT
fsr-3737	104	1	.	.	PUNCT
fsr-3737	104	2	.	.	PUNCT
fsr-3737	105	1	.	.	PUNCT
fsr-3737	105	2	.	.	PUNCT
fsr-3737	106	1	.	.	PUNCT
fsr-3737	106	2	.	.	PUNCT
fsr-3737	107	1	.	.	PUNCT
fsr-3737	108	1	+	+	CCONJ
fsr-3737	108	2	.	.	PUNCT
fsr-3737	108	3	.	.	PUNCT
fsr-3737	108	4	.	.	PUNCT
fsr-3737	108	5	.	.	PUNCT
fsr-3737	108	6	.	.	PUNCT
fsr-3737	108	7	.	.	PUNCT
fsr-3737	108	8	.	.	PUNCT
fsr-3737	108	9	.	.	PUNCT
fsr-3737	108	10	.	.	PUNCT
fsr-3737	109	1	+	+	CCONJ
fsr-3737	109	2	.	.	PUNCT
fsr-3737	109	3	.	.	PUNCT
fsr-3737	110	1	+	+	CCONJ
fsr-3737	110	2	.	.	PUNCT
fsr-3737	110	3	.	.	PUNCT
fsr-3737	110	4	.	.	PUNCT
fsr-3737	110	5	.	.	PUNCT
fsr-3737	110	6	.	.	PUNCT
fsr-3737	110	7	.	.	PUNCT
fsr-3737	110	8	.	.	PUNCT
fsr-3737	110	9	.	.	PUNCT
fsr-3737	110	10	.	.	PUNCT
fsr-3737	110	11	.	.	PUNCT
fsr-3737	111	1	+	+	CCONJ
fsr-3737	111	2	60x(1	60x(1	NUM
fsr-3737	111	3	+	+	ADJ
fsr-3737	111	4	.o45)-33x	.o45)-33x	NOUN
fsr-3737	111	5	1092	1092	NUM
fsr-3737	112	1	+	+	CCONJ
fsr-3737	112	2	60	60	NUM
fsr-3737	112	3	x	x	SYM
fsr-3737	112	4	(	(	PUNCT
fsr-3737	112	5	1+.045)-34	1+.045)-34	NUM
fsr-3737	112	6	x	x	SYM
fsr-3737	112	7	1190	1190	NUM
fsr-3737	112	8	+	+	CCONJ
fsr-3737	112	9	60	60	NUM
fsr-3737	112	10	x	x	SYM
fsr-3737	112	11	(	(	PUNCT
fsr-3737	112	12	1	1	NUM
fsr-3737	112	13	+	+	CCONJ
fsr-3737	112	14	~i45)-‘~	~i45)-‘~	PUNCT
fsr-3737	112	15	x	x	SYM
fsr-3737	112	16	1260	1260	NUM
fsr-3737	112	17	+	+	CCONJ
fsr-3737	112	18	60	60	NUM
fsr-3737	112	19	x	x	SYM
fsr-3737	112	20	(	(	PUNCT
fsr-3737	112	21	1	1	NUM
fsr-3737	112	22	+	+	SYM
fsr-3737	112	23	.o45)-36	.o45)-36	NUM
fsr-3737	112	24	x	x	SYM
fsr-3737	112	25	1332	1332	NUM
fsr-3737	113	1	+	+	CCONJ
fsr-3737	113	2	1000x(1	1000x(1	PROPN
fsr-3737	113	3	+	+	ADJ
fsr-3737	113	4	.045)-36x1332]x[1/(1.045)2]+	.045)-36x1332]x[1/(1.045)2]+	PROPN
fsr-3737	113	5	1265	1265	NUM
fsr-3737	113	6	-	-	SYM
fsr-3737	113	7	4	4	NUM
fsr-3737	113	8	convexity	convexity	NOUN
fsr-3737	113	9	=	=	PUNCT
fsr-3737	113	10	107.70	107.70	NUM
fsr-3737	113	11	for	for	ADP
fsr-3737	113	12	a	a	DET
fsr-3737	113	13	100	100	NUM
fsr-3737	113	14	basis	basis	NOUN
fsr-3737	113	15	point	point	NOUN
fsr-3737	113	16	decrease	decrease	NOUN
fsr-3737	113	17	in	in	ADP
fsr-3737	113	18	yield	yield	NOUN
fsr-3737	113	19	,	,	PUNCT
fsr-3737	113	20	the	the	DET
fsr-3737	113	21	predicted	predict	VERB
fsr-3737	113	22	price	price	NOUN
fsr-3737	113	23	change	change	NOUN
fsr-3737	113	24	would	would	AUX
fsr-3737	113	25	be	be	AUX
fsr-3737	113	26	:	:	PUNCT
fsr-3737	113	27	predicted	predict	VERB
fsr-3737	113	28	price	price	NOUN
fsr-3737	113	29	change	change	NOUN
fsr-3737	113	30	z	z	NOUN
fsr-3737	113	31	duration	duration	NOUN
fsr-3737	113	32	change	change	NOUN
fsr-3737	113	33	+	+	CCONJ
fsr-3737	113	34	convexity	convexity	NOUN
fsr-3737	113	35	change	change	NOUN
fsr-3737	113	36	=	=	SYM
fsr-3737	113	37	-dmod	-dmod	NOUN
fsr-3737	113	38	x	x	NOUN
fsr-3737	113	39	ai	ai	VERB
fsr-3737	113	40	x	x	NOUN
fsr-3737	113	41	price	price	NOUN
fsr-3737	114	1	+	+	CCONJ
fsr-3737	114	2	s	s	NOUN
fsr-3737	114	3	x	x	X
fsr-3737	114	4	price	price	NOUN
fsr-3737	114	5	x	x	PUNCT
fsr-3737	114	6	convexi	convexi	NOUN
fsr-3737	114	7	x	x	INTJ
fsr-3737	114	8	ai	ai	VERB
fsr-3737	114	9	=	=	PROPN
fsr-3737	114	10	-8.38	-8.38	NOUN
fsr-3737	114	11	x	x	SYM
fsr-3737	114	12	(	(	PUNCT
fsr-3737	114	13	-.ol	-.ol	INTJ
fsr-3737	114	14	)	)	PUNCT
fsr-3737	114	15	x	x	SYM
fsr-3737	114	16	1265	1265	NUM
fsr-3737	114	17	+	+	CCONJ
fsr-3737	114	18	5	5	NUM
fsr-3737	114	19	x	x	SYM
fsr-3737	114	20	1265	1265	NUM
fsr-3737	114	21	x	x	SYM
fsr-3737	114	22	107.70	107.70	NUM
fsr-3737	114	23	x	x	SYM
fsr-3737	114	24	(	(	PUNCT
fsr-3737	114	25	-.ol	-.ol	NOUN
fsr-3737	114	26	)	)	PUNCT
fsr-3737	114	27	*	*	PUNCT
fsr-3737	115	1	=	=	SYM
fsr-3737	115	2	112.82	112.82	NUM
fsr-3737	115	3	predicted	predict	VERB
fsr-3737	115	4	new	new	ADJ
fsr-3737	115	5	price	price	NOUN
fsr-3737	115	6	after	after	ADP
fsr-3737	115	7	ai	ai	NOUN
fsr-3737	115	8	=	=	NOUN
fsr-3737	115	9	1265	1265	NUM
fsr-3737	115	10	+	+	CCONJ
fsr-3737	115	11	112.82	112.82	NUM
fsr-3737	115	12	=	=	SYM
fsr-3737	115	13	1377.82	1377.82	NUM
fsr-3737	115	14	the	the	DET
fsr-3737	115	15	actual	actual	ADJ
fsr-3737	115	16	bond	bond	NOUN
fsr-3737	115	17	price	price	NOUN
fsr-3737	115	18	with	with	ADP
fsr-3737	115	19	a	a	DET
fsr-3737	115	20	yield	yield	NOUN
fsr-3737	115	21	to	to	ADP
fsr-3737	115	22	maturity	maturity	NOUN
fsr-3737	115	23	of	of	ADP
fsr-3737	115	24	8	8	NUM
fsr-3737	115	25	%	%	NOUN
fsr-3737	115	26	would	would	AUX
fsr-3737	115	27	be	be	AUX
fsr-3737	115	28	$	$	SYM
fsr-3737	115	29	1,378.17	1,378.17	NUM
fsr-3737	115	30	.	.	PUNCT
fsr-3737	116	1	thus	thus	ADV
fsr-3737	116	2	,	,	PUNCT
fsr-3737	116	3	using	use	VERB
fsr-3737	116	4	the	the	DET
fsr-3737	116	5	usual	usual	ADJ
fsr-3737	116	6	measures	measure	NOUN
fsr-3737	116	7	of	of	ADP
fsr-3737	116	8	duration	duration	NOUN
fsr-3737	116	9	and	and	CCONJ
fsr-3737	116	10	convexity	convexity	NOUN
fsr-3737	116	11	to	to	PART
fsr-3737	116	12	predict	predict	VERB
fsr-3737	116	13	the	the	DET
fsr-3737	116	14	new	new	ADJ
fsr-3737	116	15	bond	bond	NOUN
fsr-3737	116	16	price	price	NOUN
fsr-3737	116	17	results	result	NOUN
fsr-3737	116	18	in	in	ADP
fsr-3737	116	19	an	an	DET
fsr-3737	116	20	error	error	NOUN
fsr-3737	116	21	of	of	ADP
fsr-3737	116	22	35	35	NUM
fsr-3737	116	23	cents	cent	NOUN
fsr-3737	116	24	.	.	PUNCT
fsr-3737	117	1	b.	b.	PROPN
fsr-3737	117	2	using	use	VERB
fsr-3737	117	3	the	the	DET
fsr-3737	117	4	heck	heck	NOUN
fsr-3737	117	5	/	/	SYM
fsr-3737	117	6	zivney	zivney	PROPN
fsr-3737	117	7	/	/	SYM
fsr-3737	117	8	modani	modani	PROPN
fsr-3737	117	9	(	(	PUNCT
fsr-3737	117	10	hzm	hzm	PROPN
fsr-3737	117	11	)	)	PUNCT
fsr-3737	117	12	steps	step	NOUN
fsr-3737	117	13	to	to	PART
fsr-3737	117	14	compute	compute	VERB
fsr-3737	117	15	duration	duration	NOUN
fsr-3737	117	16	and	and	CCONJ
fsr-3737	117	17	convexity	convexity	NOUN
fsr-3737	117	18	using	use	VERB
fsr-3737	117	19	our	our	PRON
fsr-3737	117	20	simplified	simplified	ADJ
fsr-3737	117	21	procedures	procedure	NOUN
fsr-3737	117	22	,	,	PUNCT
fsr-3737	117	23	calculate	calculate	VERB
fsr-3737	117	24	bond	bond	NOUN
fsr-3737	117	25	prices	price	NOUN
fsr-3737	117	26	for	for	ADP
fsr-3737	117	27	a	a	DET
fsr-3737	117	28	small	small	ADJ
fsr-3737	117	29	change	change	NOUN
fsr-3737	117	30	in	in	ADP
fsr-3737	117	31	i	i	PRON
fsr-3737	117	32	above	above	ADP
fsr-3737	117	33	and	and	CCONJ
fsr-3737	117	34	below	below	ADP
fsr-3737	117	35	the	the	DET
fsr-3737	117	36	current	current	ADJ
fsr-3737	117	37	semi	semi	ADJ
fsr-3737	117	38	-	-	ADJ
fsr-3737	117	39	annual	annual	ADJ
fsr-3737	117	40	yield	yield	NOUN
fsr-3737	117	41	-	-	PUNCT
fsr-3737	117	42	t*maturity	t*maturity	NOUN
fsr-3737	117	43	for	for	ADP
fsr-3737	117	44	the	the	DET
fsr-3737	117	45	bond	bond	NOUN
fsr-3737	117	46	.	.	PUNCT
fsr-3737	118	1	because	because	SCONJ
fsr-3737	118	2	of	of	ADP
fsr-3737	118	3	rounding	round	VERB
fsr-3737	118	4	in	in	ADP
fsr-3737	118	5	the	the	DET
fsr-3737	118	6	reilly	reilly	ADJ
fsr-3737	118	7	example	example	NOUN
fsr-3737	118	8	,	,	PUNCT
fsr-3737	118	9	our	our	PRON
fsr-3737	118	10	calculations	calculation	NOUN
fsr-3737	118	11	will	will	AUX
fsr-3737	118	12	differ	differ	VERB
fsr-3737	118	13	slightly.5	slightly.5	PROPN
fsr-3737	118	14	for	for	ADP
fsr-3737	118	15	example	example	NOUN
fsr-3737	118	16	:	:	PUNCT
fsr-3737	118	17	at	at	ADP
fsr-3737	118	18	i	i	NOUN
fsr-3737	118	19	=	=	PUNCT
fsr-3737	118	20	4.5	4.5	NUM
fsr-3737	118	21	%	%	NOUN
fsr-3737	118	22	,	,	PUNCT
fsr-3737	118	23	price	price	NOUN
fsr-3737	118	24	(	(	PUNCT
fsr-3737	118	25	m	m	NOUN
fsr-3737	118	26	)	)	PUNCT
fsr-3737	119	1	=	=	SYM
fsr-3737	119	2	1264.99	1264.99	NUM
fsr-3737	119	3	at	at	ADP
fsr-3737	119	4	i	i	NOUN
fsr-3737	119	5	=	=	PROPN
fsr-3737	119	6	4.49	4.49	NUM
fsr-3737	119	7	%	%	NOUN
fsr-3737	119	8	,	,	PUNCT
fsr-3737	119	9	price	price	NOUN
fsr-3737	119	10	(	(	PUNCT
fsr-3737	119	11	l	l	NOUN
fsr-3737	119	12	)	)	PUNCT
fsr-3737	119	13	=	=	SYM
fsr-3737	120	1	1267.11	1267.11	NUM
fsr-3737	120	2	at	at	ADP
fsr-3737	120	3	i	i	PROPN
fsr-3737	120	4	=	=	NOUN
fsr-3737	120	5	4.51	4.51	NUM
fsr-3737	120	6	%	%	NOUN
fsr-3737	120	7	,	,	PUNCT
fsr-3737	120	8	price	price	NOUN
fsr-3737	120	9	(	(	PUNCT
fsr-3737	120	10	u	u	NOUN
fsr-3737	120	11	)	)	PUNCT
fsr-3737	120	12	=	=	SYM
fsr-3737	120	13	1262.87	1262.87	NUM
fsr-3737	120	14	thus	thus	ADV
fsr-3737	120	15	:	:	PUNCT
fsr-3737	120	16	ai	ai	VERB
fsr-3737	120	17	=	=	ADJ
fsr-3737	121	1	.0450	.0450	PROPN
fsr-3737	121	2	.0449	.0449	NOUN
fsr-3737	121	3	=	=	SYM
fsr-3737	122	1	.oool	.oool	PUNCT
fsr-3737	123	1	d	d	NOUN
fsr-3737	123	2	mod	mod	NOUN
fsr-3737	124	1	=	=	SYM
fsr-3737	124	2	[	[	X
fsr-3737	124	3	(	(	PUNCT
fsr-3737	124	4	l	l	NOUN
fsr-3737	124	5	-	-	NOUN
fsr-3737	124	6	m)/mj	m)/mj	ADJ
fsr-3737	124	7	+	+	NOUN
fsr-3737	124	8	ai	ai	VERB
fsr-3737	124	9	+	+	ADJ
fsr-3737	124	10	2	2	NUM
fsr-3737	124	11	=	=	SYM
fsr-3737	124	12	r(1264.99	r(1264.99	NOUN
fsr-3737	124	13	1267.11)/1264.99	1267.11)/1264.99	NOUN
fsr-3737	124	14	]	]	PUNCT
fsr-3737	125	1	+	+	CCONJ
fsr-3737	125	2	.oool	.oool	X
fsr-3737	125	3	+	+	CCONJ
fsr-3737	125	4	2	2	NUM
fsr-3737	125	5	=	=	SYM
fsr-3737	125	6	8.39	8.39	NUM
fsr-3737	125	7	the	the	DET
fsr-3737	125	8	percentage	percentage	NOUN
fsr-3737	125	9	change	change	NOUN
fsr-3737	125	10	in	in	ADP
fsr-3737	125	11	price	price	NOUN
fsr-3737	125	12	is	be	AUX
fsr-3737	125	13	divided	divide	VERB
fsr-3737	125	14	by	by	ADP
fsr-3737	125	15	2	2	NUM
fsr-3737	125	16	in	in	ADP
fsr-3737	125	17	the	the	DET
fsr-3737	125	18	equation	equation	NOUN
fsr-3737	125	19	for	for	ADP
fsr-3737	125	20	modified	modified	ADJ
fsr-3737	125	21	duration	duration	NOUN
fsr-3737	125	22	to	to	PART
fsr-3737	125	23	reflect	reflect	VERB
fsr-3737	125	24	semi	semi	ADJ
fsr-3737	125	25	-	-	ADJ
fsr-3737	125	26	annual	annual	ADJ
fsr-3737	125	27	compounding	compounding	NOUN
fsr-3737	125	28	.	.	PUNCT
fsr-3737	126	1	the	the	DET
fsr-3737	126	2	formula	formula	NOUN
fsr-3737	126	3	for	for	ADP
fsr-3737	126	4	convexity	convexity	NOUN
fsr-3737	126	5	involves	involve	VERB
fsr-3737	126	6	dividing	divide	VERB
fsr-3737	126	7	by	by	ADP
fsr-3737	126	8	22	22	NUM
fsr-3737	126	9	,	,	PUNCT
fsr-3737	126	10	or4	or4	NOUN
fsr-3737	126	11	,	,	PUNCT
fsr-3737	126	12	to	to	PART
fsr-3737	126	13	reflect	reflect	VERB
fsr-3737	126	14	the	the	DET
fsr-3737	126	15	semi	semi	ADJ
fsr-3737	126	16	-	-	ADJ
fsr-3737	126	17	annual	annual	ADJ
fsr-3737	126	18	compounding	compounding	NOUN
fsr-3737	126	19	:	:	PUNCT
fsr-3737	126	20	convexity	convexity	NOUN
fsr-3737	126	21	g	g	PROPN
fsr-3737	126	22	(	(	PUNCT
fsr-3737	126	23	l+u-2	l+u-2	PROPN
fsr-3737	126	24	m	m	NOUN
fsr-3737	126	25	)	)	PUNCT
fsr-3737	127	1	+	+	CCONJ
fsr-3737	127	2	ai	ai	VERB
fsr-3737	127	3	*	*	PROPN
fsr-3737	127	4	+	+	NUM
fsr-3737	127	5	m	m	VERB
fsr-3737	127	6	+	+	ADP
fsr-3737	127	7	4	4	NUM
fsr-3737	127	8	38	38	NUM
fsr-3737	127	9	financial	financial	ADJ
fsr-3737	127	10	services	service	NOUN
fsr-3737	127	11	review	review	VERB
fsr-3737	127	12	4(l	4(l	NUM
fsr-3737	127	13	)	)	PUNCT
fsr-3737	127	14	1995	1995	NUM
fsr-3737	127	15	=	=	SYM
fsr-3737	127	16	(	(	PUNCT
fsr-3737	127	17	1267.11	1267.11	NUM
fsr-3737	127	18	-t1262.87	-t1262.87	SYM
fsr-3737	127	19	2	2	NUM
fsr-3737	127	20	x	x	SYM
fsr-3737	127	21	1264.99	1264.99	NUM
fsr-3737	127	22	)	)	PUNCT
fsr-3737	128	1	+	+	CCONJ
fsr-3737	128	2	.oool	.oool	ADJ
fsr-3737	128	3	*	*	PUNCT
fsr-3737	128	4	+	+	NUM
fsr-3737	128	5	1264.99	1264.99	NUM
fsr-3737	128	6	+	+	CCONJ
fsr-3737	128	7	4	4	NUM
fsr-3737	128	8	=	=	SYM
fsr-3737	128	9	107.70	107.70	NUM
fsr-3737	128	10	the	the	DET
fsr-3737	128	11	ai	ai	VERB
fsr-3737	128	12	used	use	VERB
fsr-3737	128	13	to	to	PART
fsr-3737	128	14	compute	compute	VERB
fsr-3737	128	15	duration	duration	NOUN
fsr-3737	128	16	and	and	CCONJ
fsr-3737	128	17	convexity	convexity	NOUN
fsr-3737	128	18	(	(	PUNCT
fsr-3737	128	19	generally	generally	ADV
fsr-3737	128	20	a	a	DET
fsr-3737	128	21	very	very	ADV
fsr-3737	128	22	small	small	ADJ
fsr-3737	128	23	number	number	NOUN
fsr-3737	128	24	)	)	PUNCT
fsr-3737	128	25	need	need	AUX
fsr-3737	128	26	not	not	PART
fsr-3737	128	27	be	be	AUX
fsr-3737	128	28	the	the	DET
fsr-3737	128	29	same	same	ADJ
fsr-3737	128	30	as	as	ADP
fsr-3737	128	31	the	the	DET
fsr-3737	128	32	ai	ai	VERB
fsr-3737	128	33	used	use	VERB
fsr-3737	128	34	to	to	PART
fsr-3737	128	35	estimate	estimate	VERB
fsr-3737	128	36	price	price	NOUN
fsr-3737	128	37	changes	change	NOUN
fsr-3737	128	38	.	.	PUNCT
fsr-3737	129	1	therefore	therefore	ADV
fsr-3737	129	2	,	,	PUNCT
fsr-3737	129	3	the	the	DET
fsr-3737	129	4	predicted	predict	VERB
fsr-3737	129	5	change	change	NOUN
fsr-3737	129	6	in	in	ADP
fsr-3737	129	7	the	the	DET
fsr-3737	129	8	price	price	NOUN
fsr-3737	129	9	for	for	ADP
fsr-3737	129	10	a	a	DET
fsr-3737	129	11	100	100	NUM
fsr-3737	129	12	basis	basis	NOUN
fsr-3737	129	13	point	point	NOUN
fsr-3737	129	14	change	change	NOUN
fsr-3737	129	15	in	in	ADP
fsr-3737	129	16	i	i	PRON
fsr-3737	129	17	(	(	PUNCT
fsr-3737	129	18	50	50	NUM
fsr-3737	129	19	basis	basis	NOUN
fsr-3737	129	20	points	point	NOUN
fsr-3737	129	21	each	each	DET
fsr-3737	129	22	six	six	NUM
fsr-3737	129	23	-	-	PUNCT
fsr-3737	129	24	month	month	NOUN
fsr-3737	129	25	compounding	compounding	NOUN
fsr-3737	129	26	period	period	NOUN
fsr-3737	129	27	)	)	PUNCT
fsr-3737	129	28	results	result	NOUN
fsr-3737	129	29	in	in	ADP
fsr-3737	129	30	the	the	DET
fsr-3737	129	31	following	follow	VERB
fsr-3737	129	32	predicted	predict	VERB
fsr-3737	129	33	price	price	NOUN
fsr-3737	129	34	:	:	PUNCT
fsr-3737	129	35	price	price	NOUN
fsr-3737	129	36	change	change	NOUN
fsr-3737	129	37	3	3	NUM
fsr-3737	129	38	duration	duration	NOUN
fsr-3737	129	39	change	change	NOUN
fsr-3737	129	40	+	+	CCONJ
fsr-3737	129	41	convexity	convexity	NOUN
fsr-3737	129	42	change	change	NOUN
fsr-3737	129	43	=	=	SYM
fsr-3737	129	44	-dmmod	-dmmod	NOUN
fsr-3737	129	45	x	x	NOUN
fsr-3737	129	46	ai	ai	VERB
fsr-3737	129	47	x	x	NOUN
fsr-3737	129	48	price	price	NOUN
fsr-3737	129	49	+	+	CCONJ
fsr-3737	129	50	0.5	0.5	NUM
fsr-3737	129	51	x	x	NOUN
fsr-3737	129	52	price	price	NOUN
fsr-3737	129	53	x	x	SYM
fsr-3737	129	54	convexity	convexity	NOUN
fsr-3737	129	55	x	x	INTJ
fsr-3737	129	56	ai	ai	PROPN
fsr-3737	129	57	*	*	NOUN
fsr-3737	129	58	=	=	NOUN
fsr-3737	129	59	-8.39	-8.39	NOUN
fsr-3737	129	60	x	x	X
fsr-3737	129	61	(	(	PUNCT
fsr-3737	129	62	-.ol	-.ol	INTJ
fsr-3737	129	63	)	)	PUNCT
fsr-3737	129	64	x	x	SYM
fsr-3737	129	65	1264.99	1264.99	NUM
fsr-3737	129	66	+	+	CCONJ
fsr-3737	129	67	0.5	0.5	NUM
fsr-3737	129	68	x	x	SYM
fsr-3737	129	69	1264.99	1264.99	NUM
fsr-3737	129	70	x	x	SYM
fsr-3737	129	71	107.70	107.70	NUM
fsr-3737	129	72	x	x	SYM
fsr-3737	129	73	(	(	PUNCT
fsr-3737	129	74	-.ol	-.ol	NOUN
fsr-3737	129	75	)	)	PUNCT
fsr-3737	129	76	*	*	PUNCT
fsr-3737	130	1	=	=	SYM
fsr-3737	130	2	112.94	112.94	NUM
fsr-3737	130	3	predicted	predict	VERB
fsr-3737	130	4	price	price	NOUN
fsr-3737	130	5	after	after	ADP
fsr-3737	130	6	ai	ai	NOUN
fsr-3737	130	7	=	=	PROPN
fsr-3737	130	8	1264.99	1264.99	NUM
fsr-3737	130	9	+	+	CCONJ
fsr-3737	130	10	112.94	112.94	NUM
fsr-3737	130	11	=	=	SYM
fsr-3737	130	12	1377.93	1377.93	NUM
fsr-3737	130	13	the	the	DET
fsr-3737	130	14	predicted	predict	VERB
fsr-3737	130	15	price	price	NOUN
fsr-3737	130	16	of	of	ADP
fsr-3737	130	17	$	$	SYM
fsr-3737	130	18	1,377.93	1,377.93	NUM
fsr-3737	130	19	is	be	AUX
fsr-3737	130	20	only	only	ADV
fsr-3737	130	21	24	24	NUM
fsr-3737	130	22	cents	cent	NOUN
fsr-3737	130	23	from	from	ADP
fsr-3737	130	24	the	the	DET
fsr-3737	130	25	actual	actual	ADJ
fsr-3737	130	26	price	price	NOUN
fsr-3737	130	27	of	of	ADP
fsr-3737	130	28	$	$	SYM
fsr-3737	130	29	1,378.17	1,378.17	NUM
fsr-3737	130	30	and	and	CCONJ
fsr-3737	130	31	,	,	PUNCT
fsr-3737	130	32	hence	hence	ADV
fsr-3737	130	33	,	,	PUNCT
fsr-3737	130	34	more	more	ADV
fsr-3737	130	35	accurate	accurate	ADJ
fsr-3737	130	36	than	than	ADP
fsr-3737	130	37	the	the	DET
fsr-3737	130	38	traditional	traditional	ADJ
fsr-3737	130	39	computations	computation	NOUN
fsr-3737	130	40	,	,	PUNCT
fsr-3737	130	41	which	which	PRON
fsr-3737	130	42	resulted	result	VERB
fsr-3737	130	43	in	in	ADP
fsr-3737	130	44	an	an	DET
fsr-3737	130	45	error	error	NOUN
fsr-3737	130	46	of	of	ADP
fsr-3737	130	47	34	34	NUM
fsr-3737	130	48	cents	cent	NOUN
fsr-3737	130	49	.	.	PUNCT
fsr-3737	131	1	the	the	DET
fsr-3737	131	2	hzm	hzm	PROPN
fsr-3737	131	3	estimated	estimate	VERB
fsr-3737	131	4	bond	bond	NOUN
fsr-3737	131	5	price	price	NOUN
fsr-3737	131	6	change	change	NOUN
fsr-3737	131	7	calculations	calculation	NOUN
fsr-3737	131	8	involve	involve	VERB
fsr-3737	131	9	seven	seven	NUM
fsr-3737	131	10	separate	separate	ADJ
fsr-3737	131	11	mathemati	mathemati	NOUN
fsr-3737	131	12	cal	cal	PROPN
fsr-3737	131	13	steps	step	NOUN
fsr-3737	131	14	.	.	PUNCT
fsr-3737	132	1	to	to	PART
fsr-3737	132	2	summarize	summarize	VERB
fsr-3737	132	3	those	those	DET
fsr-3737	132	4	seven	seven	NUM
fsr-3737	132	5	steps	step	NOUN
fsr-3737	132	6	,	,	PUNCT
fsr-3737	132	7	calculate	calculate	NOUN
fsr-3737	132	8	:	:	PUNCT
fsr-3737	133	1	1	1	X
fsr-3737	133	2	.	.	X
fsr-3737	133	3	bond	bond	NOUN
fsr-3737	133	4	price	price	NOUN
fsr-3737	133	5	at	at	ADP
fsr-3737	133	6	current	current	ADJ
fsr-3737	133	7	yield	yield	NOUN
fsr-3737	133	8	-	-	PUNCT
fsr-3737	133	9	to	to	ADP
fsr-3737	133	10	-	-	PUNCT
fsr-3737	133	11	maturity	maturity	NOUN
fsr-3737	133	12	2	2	NUM
fsr-3737	133	13	.	.	PUNCT
fsr-3737	133	14	bond	bond	NOUN
fsr-3737	133	15	price	price	NOUN
fsr-3737	133	16	for	for	ADP
fsr-3737	133	17	a	a	DET
fsr-3737	133	18	small	small	ADJ
fsr-3737	133	19	increase	increase	NOUN
fsr-3737	133	20	from	from	ADP
fsr-3737	133	21	current	current	ADJ
fsr-3737	133	22	yield	yield	NOUN
fsr-3737	133	23	-	-	PUNCT
fsr-3737	133	24	to	to	ADP
fsr-3737	133	25	-	-	PUNCT
fsr-3737	133	26	maturity	maturity	NOUN
fsr-3737	133	27	3	3	NUM
fsr-3737	133	28	.	.	PUNCT
fsr-3737	133	29	bond	bond	NOUN
fsr-3737	133	30	price	price	NOUN
fsr-3737	133	31	for	for	ADP
fsr-3737	133	32	a	a	DET
fsr-3737	133	33	small	small	ADJ
fsr-3737	133	34	decrease	decrease	NOUN
fsr-3737	133	35	from	from	ADP
fsr-3737	133	36	current	current	ADJ
fsr-3737	133	37	yield	yield	NOUN
fsr-3737	133	38	-	-	PUNCT
fsr-3737	133	39	to	to	ADP
fsr-3737	133	40	-	-	PUNCT
fsr-3737	133	41	maturity	maturity	NOUN
fsr-3737	133	42	4	4	NUM
fsr-3737	133	43	.	.	PUNCT
fsr-3737	133	44	change	change	NOUN
fsr-3737	133	45	in	in	ADP
fsr-3737	133	46	yield	yield	NOUN
fsr-3737	133	47	-	-	PUNCT
fsr-3737	133	48	to	to	ADP
fsr-3737	133	49	-	-	PUNCT
fsr-3737	133	50	maturity	maturity	NOUN
fsr-3737	133	51	(	(	PUNCT
fsr-3737	133	52	step	step	NOUN
fsr-3737	133	53	1	1	NUM
fsr-3737	133	54	yield	yield	NOUN
fsr-3737	133	55	minus	minus	CCONJ
fsr-3737	133	56	step	step	NOUN
fsr-3737	133	57	2	2	NUM
fsr-3737	133	58	yield	yield	NOUN
fsr-3737	133	59	)	)	PUNCT
fsr-3737	133	60	5	5	NUM
fsr-3737	133	61	.	.	PUNCT
fsr-3737	133	62	modified	modify	VERB
fsr-3737	133	63	duration	duration	NOUN
fsr-3737	133	64	6	6	NUM
fsr-3737	133	65	.	.	PUNCT
fsr-3737	134	1	convexity	convexity	PROPN
fsr-3737	134	2	7	7	NUM
fsr-3737	134	3	.	.	PUNCT
fsr-3737	134	4	expected	expect	VERB
fsr-3737	134	5	price	price	NOUN
fsr-3737	134	6	change	change	NOUN
fsr-3737	134	7	as	as	ADP
fsr-3737	134	8	sum	sum	NOUN
fsr-3737	134	9	of	of	ADP
fsr-3737	134	10	duration	duration	NOUN
fsr-3737	134	11	change	change	NOUN
fsr-3737	134	12	and	and	CCONJ
fsr-3737	134	13	convexity	convexity	NOUN
fsr-3737	134	14	change	change	NOUN
fsr-3737	134	15	c.	c.	NOUN
fsr-3737	134	16	evaluating	evaluate	VERB
fsr-3737	134	17	the	the	DET
fsr-3737	134	18	performance	performance	NOUN
fsr-3737	134	19	of	of	ADP
fsr-3737	134	20	hzm	hzm	PROPN
fsr-3737	134	21	the	the	DET
fsr-3737	134	22	previous	previous	ADJ
fsr-3737	134	23	section	section	NOUN
fsr-3737	134	24	demonstrated	demonstrate	VERB
fsr-3737	134	25	the	the	DET
fsr-3737	134	26	ease	ease	NOUN
fsr-3737	134	27	with	with	ADP
fsr-3737	134	28	which	which	PRON
fsr-3737	134	29	the	the	DET
fsr-3737	134	30	expected	expect	VERB
fsr-3737	134	31	bond	bond	NOUN
fsr-3737	134	32	price	price	NOUN
fsr-3737	134	33	change	change	NOUN
fsr-3737	134	34	can	can	AUX
fsr-3737	134	35	be	be	AUX
fsr-3737	134	36	estimated	estimate	VERB
fsr-3737	134	37	using	use	VERB
fsr-3737	134	38	the	the	DET
fsr-3737	134	39	hzm	hzm	ADJ
fsr-3737	134	40	method	method	NOUN
fsr-3737	134	41	.	.	PUNCT
fsr-3737	135	1	in	in	ADP
fsr-3737	135	2	the	the	DET
fsr-3737	135	3	above	above	ADJ
fsr-3737	135	4	example	example	NOUN
fsr-3737	135	5	,	,	PUNCT
fsr-3737	135	6	the	the	DET
fsr-3737	135	7	hzm	hzm	ADJ
fsr-3737	135	8	and	and	CCONJ
fsr-3737	135	9	traditional	traditional	ADJ
fsr-3737	135	10	macaulay	macaulay	NOUN
fsr-3737	135	11	results	result	NOUN
fsr-3737	135	12	were	be	AUX
fsr-3737	135	13	quite	quite	ADV
fsr-3737	135	14	similar	similar	ADJ
fsr-3737	135	15	.	.	PUNCT
fsr-3737	136	1	the	the	DET
fsr-3737	136	2	obvious	obvious	ADJ
fsr-3737	136	3	question	question	NOUN
fsr-3737	136	4	the	the	DET
fsr-3737	136	5	example	example	NOUN
fsr-3737	136	6	raises	raise	VERB
fsr-3737	136	7	is	be	AUX
fsr-3737	136	8	how	how	SCONJ
fsr-3737	136	9	consistent	consistent	ADJ
fsr-3737	136	10	is	be	AUX
fsr-3737	136	11	the	the	DET
fsr-3737	136	12	accuracy	accuracy	NOUN
fsr-3737	136	13	of	of	ADP
fsr-3737	136	14	the	the	DET
fsr-3737	136	15	hzm	hzm	PROPN
fsr-3737	136	16	method	method	NOUN
fsr-3737	136	17	.	.	PUNCT
fsr-3737	137	1	to	to	PART
fsr-3737	137	2	address	address	VERB
fsr-3737	137	3	this	this	DET
fsr-3737	137	4	question	question	NOUN
fsr-3737	137	5	,	,	PUNCT
fsr-3737	137	6	a	a	DET
fsr-3737	137	7	simulation	simulation	NOUN
fsr-3737	137	8	was	be	AUX
fsr-3737	137	9	performed	perform	VERB
fsr-3737	137	10	.	.	PUNCT
fsr-3737	138	1	table	table	NOUN
fsr-3737	138	2	1	1	NUM
fsr-3737	138	3	presents	present	VERB
fsr-3737	138	4	some	some	PRON
fsr-3737	138	5	of	of	ADP
fsr-3737	138	6	the	the	DET
fsr-3737	138	7	results	result	NOUN
fsr-3737	138	8	of	of	ADP
fsr-3737	138	9	a	a	DET
fsr-3737	138	10	simulation	simulation	NOUN
fsr-3737	138	11	that	that	PRON
fsr-3737	138	12	generated	generate	VERB
fsr-3737	138	13	predicted	predict	VERB
fsr-3737	138	14	bond	bond	NOUN
fsr-3737	138	15	price	price	NOUN
fsr-3737	138	16	changes	change	NOUN
fsr-3737	138	17	for	for	ADP
fsr-3737	138	18	both	both	CCONJ
fsr-3737	138	19	the	the	DET
fsr-3737	138	20	hzm	hzm	ADJ
fsr-3737	138	21	and	and	CCONJ
fsr-3737	138	22	traditional	traditional	ADJ
fsr-3737	138	23	methods	method	NOUN
fsr-3737	138	24	under	under	ADP
fsr-3737	138	25	varying	vary	VERB
fsr-3737	138	26	scenarios	scenario	NOUN
fsr-3737	138	27	.	.	PUNCT
fsr-3737	139	1	using	use	VERB
fsr-3737	139	2	a	a	DET
fsr-3737	139	3	10	10	NUM
fsr-3737	139	4	percent	percent	NOUN
fsr-3737	139	5	coupon	coupon	NOUN
fsr-3737	139	6	bond	bond	NOUN
fsr-3737	139	7	with	with	ADP
fsr-3737	139	8	maturities	maturity	NOUN
fsr-3737	139	9	ranging	range	VERB
fsr-3737	139	10	from	from	ADP
fsr-3737	139	11	five	five	NUM
fsr-3737	139	12	to	to	PART
fsr-3737	139	13	30	30	NUM
fsr-3737	139	14	years	year	NOUN
fsr-3737	139	15	,	,	PUNCT
fsr-3737	139	16	predicted	predict	VERB
fsr-3737	139	17	bond	bond	NOUN
fsr-3737	139	18	price	price	NOUN
fsr-3737	139	19	changes	change	NOUN
fsr-3737	139	20	were	be	AUX
fsr-3737	139	21	calculated	calculate	VERB
fsr-3737	139	22	for	for	ADP
fsr-3737	139	23	yield	yield	NOUN
fsr-3737	139	24	-	-	PUNCT
fsr-3737	139	25	to	to	ADP
fsr-3737	139	26	-	-	PUNCT
fsr-3737	139	27	maturity	maturity	NOUN
fsr-3737	139	28	changes	change	NOUN
fsr-3737	139	29	ranging	range	VERB
fsr-3737	139	30	from	from	ADP
fsr-3737	139	31	one	one	NUM
fsr-3737	139	32	to	to	PART
fsr-3737	139	33	100	100	NUM
fsr-3737	139	34	basis	basis	NOUN
fsr-3737	139	35	points	point	NOUN
fsr-3737	139	36	and	and	CCONJ
fsr-3737	139	37	for	for	ADP
fsr-3737	139	38	hzm	hzm	PROPN
fsr-3737	139	39	ai	ai	AUX
fsr-3737	139	40	ranging	range	VERB
fsr-3737	139	41	from	from	ADP
fsr-3737	139	42	.ol	.ol	PROPN
fsr-3737	139	43	to	to	ADP
fsr-3737	139	44	100	100	NUM
fsr-3737	139	45	basis	basis	NOUN
fsr-3737	139	46	points	point	NOUN
fsr-3737	139	47	.	.	PUNCT
fsr-3737	140	1	results	result	NOUN
fsr-3737	140	2	presented	present	VERB
fsr-3737	140	3	include	include	VERB
fsr-3737	140	4	yield	yield	NOUN
fsr-3737	140	5	-	-	PUNCT
fsr-3737	140	6	to	to	ADP
fsr-3737	140	7	-	-	PUNCT
fsr-3737	140	8	maturities	maturity	NOUN
fsr-3737	140	9	of	of	ADP
fsr-3737	140	10	3	3	NUM
fsr-3737	140	11	%	%	NOUN
fsr-3737	140	12	to	to	PART
fsr-3737	140	13	18	18	NUM
fsr-3737	140	14	%	%	NOUN
fsr-3737	140	15	in	in	ADP
fsr-3737	140	16	three	three	NUM
fsr-3737	140	17	-	-	PUNCT
fsr-3737	140	18	percent	percent	NOUN
fsr-3737	140	19	intervals	interval	NOUN
fsr-3737	140	20	,	,	PUNCT
fsr-3737	140	21	for	for	ADP
fsr-3737	140	22	the	the	DET
fsr-3737	140	23	hzm	hzm	PROPN
fsr-3737	140	24	method	method	NOUN
fsr-3737	140	25	using	use	VERB
fsr-3737	140	26	ai	ai	NOUN
fsr-3737	140	27	of	of	ADP
fsr-3737	140	28	.ol	.ol	PUNCT
fsr-3737	140	29	and	and	CCONJ
fsr-3737	140	30	one	one	NUM
fsr-3737	140	31	basis	basis	NOUN
fsr-3737	140	32	point	point	NOUN
fsr-3737	140	33	as	as	ADV
fsr-3737	140	34	well	well	ADV
fsr-3737	140	35	as	as	ADP
fsr-3737	140	36	the	the	DET
fsr-3737	140	37	traditional	traditional	ADJ
fsr-3737	140	38	macaulay	macaulay	NOUN
fsr-3737	140	39	method	method	NOUN
fsr-3737	140	40	.	.	PUNCT
fsr-3737	141	1	it	it	PRON
fsr-3737	141	2	can	can	AUX
fsr-3737	141	3	be	be	AUX
fsr-3737	141	4	seen	see	VERB
fsr-3737	141	5	in	in	ADP
fsr-3737	141	6	each	each	DET
fsr-3737	141	7	cell	cell	NOUN
fsr-3737	141	8	of	of	ADP
fsr-3737	141	9	table	table	NOUN
fsr-3737	141	10	1	1	NUM
fsr-3737	141	11	that	that	SCONJ
fsr-3737	141	12	the	the	DET
fsr-3737	141	13	prediction	prediction	NOUN
fsr-3737	141	14	error	error	NOUN
fsr-3737	141	15	associated	associate	VERB
fsr-3737	141	16	with	with	ADP
fsr-3737	141	17	the	the	DET
fsr-3737	141	18	hzm	hzm	PROPN
fsr-3737	141	19	method	method	NOUN
fsr-3737	141	20	decreases	decrease	VERB
fsr-3737	141	21	with	with	ADP
fsr-3737	141	22	smaller	small	ADJ
fsr-3737	141	23	ai	ai	NOUN
fsr-3737	141	24	;	;	PUNCT
fsr-3737	141	25	also	also	ADV
fsr-3737	141	26	,	,	PUNCT
fsr-3737	141	27	for	for	ADP
fsr-3737	141	28	small	small	ADJ
fsr-3737	141	29	ai	ai	NOUN
fsr-3737	141	30	,	,	PUNCT
fsr-3737	141	31	hzm	hzm	PROPN
fsr-3737	141	32	and	and	CCONJ
fsr-3737	141	33	macaulay	macaulay	PROPN
fsr-3737	141	34	yield	yield	VERB
fsr-3737	141	35	nearly	nearly	ADV
fsr-3737	141	36	identical	identical	ADJ
fsr-3737	141	37	results	result	NOUN
fsr-3737	141	38	.	.	PUNCT
fsr-3737	142	1	the	the	DET
fsr-3737	142	2	last	last	ADJ
fsr-3737	142	3	row	row	NOUN
fsr-3737	142	4	and	and	CCONJ
fsr-3737	142	5	column	column	NOUN
fsr-3737	142	6	of	of	ADP
fsr-3737	142	7	cells	cell	NOUN
fsr-3737	142	8	compares	compare	VERB
fsr-3737	142	9	the	the	DET
fsr-3737	142	10	average	average	ADJ
fsr-3737	142	11	error	error	NOUN
fsr-3737	142	12	under	under	ADP
fsr-3737	142	13	each	each	DET
fsr-3737	142	14	a	a	DET
fsr-3737	142	15	simplified	simplified	ADJ
fsr-3737	142	16	approach	approach	NOUN
fsr-3737	142	17	to	to	ADP
fsr-3737	142	18	measuring	measure	VERB
fsr-3737	142	19	bond	bond	NOUN
fsr-3737	142	20	duration	duration	NOUN
fsr-3737	142	21	39	39	NUM
fsr-3737	142	22	table	table	NOUN
fsr-3737	142	23	1	1	NUM
fsr-3737	142	24	actual	actual	ADJ
fsr-3737	142	25	price	price	NOUN
fsr-3737	142	26	change	change	NOUN
fsr-3737	142	27	minus	minus	CCONJ
fsr-3737	142	28	predicted	predict	VERB
fsr-3737	142	29	price	price	NOUN
fsr-3737	142	30	change	change	NOUN
fsr-3737	142	31	using	use	VERB
fsr-3737	142	32	100	100	NUM
fsr-3737	142	33	basis	basis	NOUN
fsr-3737	142	34	point	point	NOUN
fsr-3737	142	35	change	change	NOUN
fsr-3737	142	36	in	in	ADP
fsr-3737	142	37	ytm	ytm	PROPN
fsr-3737	142	38	yield	yield	VERB
fsr-3737	142	39	-	-	PUNCT
fsr-3737	142	40	to	to	AUX
fsr-3737	142	41	-	-	PUNCT
fsr-3737	142	42	motrtritg	motrtritg	VERB
fsr-3737	142	43	on	on	ADP
fsr-3737	142	44	10	10	NUM
fsr-3737	142	45	%	%	NOUN
fsr-3737	142	46	coupon	coupon	NOUN
fsr-3737	142	47	bond	bond	NOUN
fsr-3737	142	48	maturity	maturity	NOUN
fsr-3737	142	49	method	method	NOUN
fsr-3737	142	50	3	3	NUM
fsr-3737	142	51	%	%	NOUN
fsr-3737	142	52	6	6	NUM
fsr-3737	142	53	%	%	NOUN
fsr-3737	142	54	9	9	NUM
fsr-3737	142	55	%	%	NOUN
fsr-3737	142	56	12	12	NUM
fsr-3737	142	57	%	%	NOUN
fsr-3737	142	58	15	15	NUM
fsr-3737	142	59	%	%	NOUN
fsr-3737	142	60	18	18	NUM
fsr-3737	142	61	%	%	NOUN
fsr-3737	142	62	average	average	ADJ
fsr-3737	142	63	error	error	NOUN
fsr-3737	142	64	5	5	NUM
fsr-3737	142	65	years	year	NOUN
fsr-3737	142	66	hzma	hzma	X
fsr-3737	142	67	=	=	SYM
fsr-3737	142	68	l.o	l.o	NOUN
fsr-3737	142	69	0.26	0.26	NUM
fsr-3737	142	70	*	*	NUM
fsr-3737	142	71	0.2	0.2	NUM
fsr-3737	142	72	i	i	NOUN
fsr-3737	142	73	0.18	0.18	NUM
fsr-3737	142	74	0.15	0.15	NUM
fsr-3737	142	75	0.12	0.12	NUM
fsr-3737	142	76	0.10	0.10	NUM
fsr-3737	142	77	0.174	0.174	NUM
fsr-3737	142	78	hzm	hzm	NOUN
fsr-3737	142	79	a	a	DET
fsr-3737	142	80	=	=	SYM
fsr-3737	142	81	.ol	.ol	PROPN
fsr-3737	142	82	macaulay	macaulay	NOUN
fsr-3737	142	83	10	10	NUM
fsr-3737	142	84	years	year	NOUN
fsr-3737	142	85	hzma=	hzma=	PROPN
fsr-3737	142	86	1.0	1.0	NUM
fsr-3737	142	87	hzma	hzma	NOUN
fsr-3737	142	88	=	=	SYM
fsr-3737	142	89	o.l	o.l	NOUN
fsr-3737	142	90	macaulay	macaulay	NOUN
fsr-3737	142	91	15	15	NUM
fsr-3737	142	92	years	year	NOUN
fsr-3737	142	93	hzma=	hzma=	PUNCT
fsr-3737	142	94	i.0	i.0	X
fsr-3737	142	95	hzm	hzm	PROPN
fsr-3737	142	96	a	a	DET
fsr-3737	142	97	=	=	SYM
fsr-3737	142	98	.ol	.ol	PROPN
fsr-3737	142	99	macaulay	macaulay	NOUN
fsr-3737	142	100	20	20	NUM
fsr-3737	142	101	years	year	NOUN
fsr-3737	142	102	hzma=	hzma=	PROPN
fsr-3737	142	103	1.0	1.0	NUM
fsr-3737	142	104	hzma=.ol	hzma=.ol	PROPN
fsr-3737	142	105	macaulay	macaulay	VERB
fsr-3737	142	106	25	25	NUM
fsr-3737	142	107	years	year	NOUN
fsr-3737	142	108	hzma=	hzma=	PROPN
fsr-3737	142	109	1.0	1.0	NUM
fsr-3737	142	110	hzm	hzm	NOUN
fsr-3737	142	111	a	a	DET
fsr-3737	142	112	=	=	SYM
fsr-3737	142	113	.ol	.ol	PROPN
fsr-3737	142	114	macaulay	macaulay	NOUN
fsr-3737	142	115	30	30	NUM
fsr-3737	142	116	years	year	NOUN
fsr-3737	142	117	hzma=	hzma=	PROPN
fsr-3737	142	118	1.0	1.0	NUM
fsr-3737	142	119	hzm	hzm	NOUN
fsr-3737	142	120	a	a	DET
fsr-3737	142	121	=	=	SYM
fsr-3737	142	122	.ol	.ol	PROPN
fsr-3737	142	123	macaulay	macaulay	PROPN
fsr-3737	142	124	average	average	ADJ
fsr-3737	142	125	error	error	NOUN
fsr-3737	142	126	hzm	hzm	NOUN
fsr-3737	143	1	a	a	DET
fsr-3737	143	2	=	=	SYM
fsr-3737	143	3	1	1	NUM
fsr-3737	143	4	.o	.o	NOUN
fsr-3737	143	5	hzm	hzm	PROPN
fsr-3737	143	6	a	a	DET
fsr-3737	143	7	=	=	SYM
fsr-3737	143	8	.ol	.ol	PROPN
fsr-3737	143	9	macaulay	macaulay	NOUN
fsr-3737	143	10	0.20	0.20	NUM
fsr-3737	143	11	0.20	0.20	NUM
fsr-3737	143	12	i.56	i.56	NOUN
fsr-3737	143	13	1.35	1.35	NUM
fsr-3737	143	14	1.35	1.35	NUM
fsr-3737	143	15	0.17	0.17	NUM
fsr-3737	143	16	0.17	0.17	NUM
fsr-3737	143	17	1.13	1.13	NUM
fsr-3737	143	18	0.98	0.98	NUM
fsr-3737	143	19	0.98	0.98	NUM
fsr-3737	143	20	4.54	4.54	NUM
fsr-3737	143	21	2.90	2.90	NUM
fsr-3737	143	22	4.09	4.09	NUM
fsr-3737	143	23	2.60	2.60	NUM
fsr-3737	143	24	4.08	4.08	NUM
fsr-3737	143	25	2.60	2.60	NUM
fsr-3737	143	26	0.14	0.14	NUM
fsr-3737	143	27	0.11	0.11	NUM
fsr-3737	143	28	0.14	0.14	NUM
fsr-3737	143	29	0.11	0.11	NUM
fsr-3737	143	30	0.83	0.83	NUM
fsr-3737	143	31	0.6	0.6	NUM
fsr-3737	143	32	1	1	NUM
fsr-3737	143	33	0.71	0.71	NUM
fsr-3737	143	34	0.52	0.52	NUM
fsr-3737	143	35	0.71	0.71	NUM
fsr-3737	143	36	0.52	0.52	NUM
fsr-3737	143	37	1.87	1.87	NUM
fsr-3737	143	38	1.22	1.22	NUM
fsr-3737	143	39	1.67	1.67	NUM
fsr-3737	143	40	1.08	1.08	NUM
fsr-3737	143	41	1.67	1.67	NUM
fsr-3737	143	42	1.08	1.08	NUM
fsr-3737	143	43	9.64	9.64	NUM
fsr-3737	143	44	5.43	5.43	NUM
fsr-3737	143	45	3.11	3.11	NUM
fsr-3737	143	46	1.82	1.82	NUM
fsr-3737	143	47	8.85	8.85	NUM
fsr-3737	143	48	4.97	4.97	NUM
fsr-3737	143	49	2.84	2.84	NUM
fsr-3737	143	50	1.65	1.65	NUM
fsr-3737	143	51	8.84	8.84	NUM
fsr-3737	143	52	4.96	4.96	NUM
fsr-3737	143	53	2.84	2.84	NUM
fsr-3737	143	54	1.65	1.65	NUM
fsr-3737	143	55	17.08	17.08	NUM
fsr-3737	143	56	8.54	8.54	NUM
fsr-3737	143	57	4.39	4.39	NUM
fsr-3737	143	58	2.33	2.33	NUM
fsr-3737	143	59	15.88	15.88	NUM
fsr-3737	143	60	7.92	7.92	NUM
fsr-3737	143	61	4.05	4.05	NUM
fsr-3737	143	62	2.14	2.14	NUM
fsr-3737	143	63	15.87	15.87	NUM
fsr-3737	143	64	7.91	7.91	NUM
fsr-3737	143	65	4.05	4.05	NUM
fsr-3737	143	66	2.14	2.14	NUM
fsr-3737	143	67	0.09	0.09	NUM
fsr-3737	143	68	0.09	0.09	NUM
fsr-3737	143	69	0.45	0.45	NUM
fsr-3737	143	70	0.38	0.38	NUM
fsr-3737	143	71	0.38	0.38	NUM
fsr-3737	143	72	0.80	0.80	NUM
fsr-3737	143	73	0.71	0.71	NUM
fsr-3737	143	74	0.7	0.7	NUM
fsr-3737	143	75	1	1	NUM
fsr-3737	143	76	1.09	1.09	NUM
fsr-3737	143	77	0.98	0.98	NUM
fsr-3737	143	78	0.98	0.98	NUM
fsr-3737	143	79	1.28	1.28	NUM
fsr-3737	143	80	1.16	1.16	NUM
fsr-3737	143	81	1.16	1.16	NUM
fsr-3737	143	82	26.95	26.95	NUM
fsr-3737	143	83	12.02	12.02	NUM
fsr-3737	143	84	5.59	5.59	NUM
fsr-3737	143	85	2.72	2.72	NUM
fsr-3737	143	86	1.39	1.39	NUM
fsr-3737	143	87	25.29	25.29	NUM
fsr-3737	143	88	11.24	11.24	NUM
fsr-3737	143	89	5.20	5.20	NUM
fsr-3737	143	90	2.51	2.51	NUM
fsr-3737	143	91	1.28	1.28	NUM
fsr-3737	143	92	25.27	25.27	NUM
fsr-3737	143	93	11.23	11.23	NUM
fsr-3737	143	94	5.20	5.20	NUM
fsr-3737	143	95	2.51	2.51	NUM
fsr-3737	143	96	1.28	1.28	NUM
fsr-3737	143	97	10.007	10.007	NUM
fsr-3737	143	98	5.043	5.043	NUM
fsr-3737	143	99	2.665	2.665	NUM
fsr-3737	143	100	1.478	1.478	NUM
fsr-3737	143	101	0.859	0.859	NUM
fsr-3737	143	102	9.28	9.28	NUM
fsr-3737	143	103	1	1	NUM
fsr-3737	143	104	4.649	4.649	NUM
fsr-3737	143	105	2.439	2.439	NUM
fsr-3737	143	106	1.341	1.341	NUM
fsr-3737	143	107	0.773	0.773	NUM
fsr-3737	143	108	9.273	9.273	NUM
fsr-3737	143	109	4.645	4.645	NUM
fsr-3737	143	110	2.437	2.437	NUM
fsr-3737	143	111	1.340	1.340	NUM
fsr-3737	143	112	0.772	0.772	NUM
fsr-3737	143	113	0.08	0.08	NUM
fsr-3737	143	114	0.136	0.136	NUM
fsr-3737	143	115	0.08	0.08	NUM
fsr-3737	143	116	0.136	0.136	NUM
fsr-3737	143	117	0.33	0.33	NUM
fsr-3737	143	118	0.821	0.821	NUM
fsr-3737	143	119	0.28	0.28	NUM
fsr-3737	143	120	0.708	0.708	NUM
fsr-3737	143	121	0.28	0.28	NUM
fsr-3737	143	122	0.707	0.707	NUM
fsr-3737	143	123	0.53	0.53	NUM
fsr-3737	143	124	1.981	1.981	NUM
fsr-3737	143	125	0.47	0.47	NUM
fsr-3737	143	126	1.775	1.775	NUM
fsr-3737	143	127	0.47	0.47	NUM
fsr-3737	143	128	1.773	1.773	NUM
fsr-3737	143	129	0.66	0.66	NUM
fsr-3737	143	130	3.629	3.629	NUM
fsr-3737	143	131	0.59	0.59	NUM
fsr-3737	143	132	3.318	3.318	NUM
fsr-3737	143	133	0.59	0.59	NUM
fsr-3737	143	134	3.315	3.315	NUM
fsr-3737	143	135	0.73	0.73	NUM
fsr-3737	143	136	5.728	5.728	NUM
fsr-3737	143	137	0.66	0.66	NUM
fsr-3737	143	138	5.307	5.307	NUM
fsr-3737	143	139	0.66	0.66	NUM
fsr-3737	143	140	5.302	5.302	NUM
fsr-3737	143	141	0.75	0.75	NUM
fsr-3737	143	142	8.242	8.242	NUM
fsr-3737	143	143	0.68	0.68	NUM
fsr-3737	143	144	7.704	7.704	NUM
fsr-3737	143	145	0.68	0.68	NUM
fsr-3737	143	146	7.699	7.699	NUM
fsr-3737	143	147	0.523	0.523	NUM
fsr-3737	143	148	3.429	3.429	NUM
fsr-3737	143	149	0.465	0.465	NUM
fsr-3737	143	150	3.158	3.158	NUM
fsr-3737	143	151	0.465	0.465	NUM
fsr-3737	143	152	3.155	3.155	NUM
fsr-3737	143	153	note	note	NOUN
fsr-3737	143	154	:	:	PUNCT
fsr-3737	143	155	*	*	PUNCT
fsr-3737	143	156	for	for	ADP
fsr-3737	143	157	a	a	DET
fsr-3737	143	158	10	10	NUM
fsr-3737	143	159	%	%	NOUN
fsr-3737	143	160	coupon	coupon	NOUN
fsr-3737	143	161	bond	bond	NOUN
fsr-3737	143	162	maturing	mature	VERB
fsr-3737	143	163	in	in	ADP
fsr-3737	143	164	5	5	NUM
fsr-3737	143	165	years	year	NOUN
fsr-3737	143	166	,	,	PUNCT
fsr-3737	143	167	with	with	ADP
fsr-3737	143	168	a	a	DET
fsr-3737	143	169	yield	yield	NOUN
fsr-3737	143	170	-	-	PUNCT
fsr-3737	143	171	tomaturity	tomaturity	NOUN
fsr-3737	143	172	of	of	ADP
fsr-3737	143	173	3	3	NUM
fsr-3737	143	174	%	%	NOUN
fsr-3737	143	175	.	.	PUNCT
fsr-3737	144	1	and	and	CCONJ
fsr-3737	144	2	experiencing	experience	VERB
fsr-3737	144	3	a	a	DET
fsr-3737	144	4	100	100	NUM
fsr-3737	144	5	basis	basis	NOUN
fsr-3737	144	6	point	point	NOUN
fsr-3737	144	7	change	change	NOUN
fsr-3737	144	8	in	in	ADP
fsr-3737	144	9	yield	yield	NOUN
fsr-3737	144	10	,	,	PUNCT
fsr-3737	144	11	the	the	DET
fsr-3737	144	12	difference	difference	NOUN
fsr-3737	144	13	between	between	ADP
fsr-3737	144	14	the	the	DET
fsr-3737	144	15	actual	actual	ADJ
fsr-3737	144	16	change	change	NOUN
fsr-3737	144	17	in	in	ADP
fsr-3737	144	18	price	price	NOUN
fsr-3737	144	19	and	and	CCONJ
fsr-3737	144	20	the	the	DET
fsr-3737	144	21	price	price	NOUN
fsr-3737	144	22	change	change	NOUN
fsr-3737	144	23	predicted	predict	VERB
fsr-3737	144	24	using	use	VERB
fsr-3737	144	25	the	the	DET
fsr-3737	144	26	hzm	hzm	PROPN
fsr-3737	144	27	model	model	NOUN
fsr-3737	144	28	(	(	PUNCT
fsr-3737	144	29	with	with	ADP
fsr-3737	144	30	a	a	DET
fsr-3737	144	31	a	a	DET
fsr-3737	144	32	=	=	SYM
fsr-3737	144	33	1	1	NUM
fsr-3737	144	34	.o	.o	NOUN
fsr-3737	144	35	)	)	PUNCT
fsr-3737	144	36	is	be	AUX
fsr-3737	144	37	26	26	NUM
fsr-3737	144	38	cents	cent	NOUN
fsr-3737	144	39	.	.	PUNCT
fsr-3737	145	1	a	a	DET
fsr-3737	145	2	i	i	NOUN
fsr-3737	145	3	=	=	NOUN
fsr-3737	145	4	1	1	NUM
fsr-3737	145	5	.o	.o	NOUN
fsr-3737	145	6	means	mean	VERB
fsr-3737	145	7	that	that	SCONJ
fsr-3737	145	8	a	a	DET
fsr-3737	145	9	one	one	NUM
fsr-3737	145	10	basis	basis	NOUN
fsr-3737	145	11	point	point	NOUN
fsr-3737	145	12	change	change	NOUN
fsr-3737	145	13	was	be	AUX
fsr-3737	145	14	used	use	VERB
fsr-3737	145	15	to	to	PART
fsr-3737	145	16	compute	compute	VERB
fsr-3737	145	17	duration	duration	NOUN
fsr-3737	145	18	and	and	CCONJ
fsr-3737	145	19	convexity	convexity	NOUN
fsr-3737	145	20	with	with	ADP
fsr-3737	145	21	the	the	DET
fsr-3737	145	22	hzm	hzm	PROPN
fsr-3737	145	23	method	method	NOUN
fsr-3737	145	24	while	while	SCONJ
fsr-3737	145	25	a	a	DET
fsr-3737	145	26	i	i	NOUN
fsr-3737	145	27	=	=	SYM
fsr-3737	145	28	.ol	.ol	PROPN
fsr-3737	145	29	means	mean	VERB
fsr-3737	145	30	that	that	SCONJ
fsr-3737	145	31	a	a	DET
fsr-3737	145	32	one	one	NUM
fsr-3737	145	33	-	-	PUNCT
fsr-3737	145	34	hundredth	hundredth	ADJ
fsr-3737	145	35	basis	basis	NOUN
fsr-3737	145	36	point	point	NOUN
fsr-3737	145	37	change	change	NOUN
fsr-3737	145	38	was	be	AUX
fsr-3737	145	39	used	use	VERB
fsr-3737	145	40	to	to	PART
fsr-3737	145	41	compute	compute	VERB
fsr-3737	145	42	duration	duration	NOUN
fsr-3737	145	43	and	and	CCONJ
fsr-3737	145	44	convexity	convexity	NOUN
fsr-3737	145	45	.	.	PUNCT
fsr-3737	146	1	scenario	scenario	NOUN
fsr-3737	146	2	.	.	PUNCT
fsr-3737	147	1	the	the	DET
fsr-3737	147	2	results	result	NOUN
fsr-3737	147	3	suggest	suggest	VERB
fsr-3737	147	4	that	that	SCONJ
fsr-3737	147	5	not	not	PART
fsr-3737	147	6	only	only	ADV
fsr-3737	147	7	is	be	AUX
fsr-3737	147	8	the	the	DET
fsr-3737	147	9	hzm	hzm	PROPN
fsr-3737	147	10	method	method	NOUN
fsr-3737	147	11	easier	easy	ADJ
fsr-3737	147	12	to	to	PART
fsr-3737	147	13	employ	employ	VERB
fsr-3737	147	14	,	,	PUNCT
fsr-3737	147	15	but	but	CCONJ
fsr-3737	147	16	it	it	PRON
fsr-3737	147	17	yields	yield	VERB
fsr-3737	147	18	equally	equally	ADV
fsr-3737	147	19	accurate	accurate	ADJ
fsr-3737	147	20	results	result	NOUN
fsr-3737	147	21	when	when	SCONJ
fsr-3737	147	22	computed	compute	VERB
fsr-3737	147	23	using	use	VERB
fsr-3737	147	24	small	small	ADJ
fsr-3737	147	25	ai	ai	NOUN
fsr-3737	147	26	.	.	PUNCT
fsr-3737	148	1	although	although	SCONJ
fsr-3737	148	2	the	the	DET
fsr-3737	148	3	derivation	derivation	NOUN
fsr-3737	148	4	of	of	ADP
fsr-3737	148	5	the	the	DET
fsr-3737	148	6	hzm	hzm	ADJ
fsr-3737	148	7	simplified	simplify	VERB
fsr-3737	148	8	formulas	formula	NOUN
fsr-3737	148	9	for	for	ADP
fsr-3737	148	10	duration	duration	NOUN
fsr-3737	148	11	and	and	CCONJ
fsr-3737	148	12	convexity	convexity	NOUN
fsr-3737	148	13	calculations	calculation	NOUN
fsr-3737	148	14	is	be	AUX
fsr-3737	148	15	somewhat	somewhat	ADV
fsr-3737	148	16	complex	complex	ADJ
fsr-3737	148	17	,	,	PUNCT
fsr-3737	148	18	the	the	DET
fsr-3737	148	19	resulting	result	VERB
fsr-3737	148	20	duration	duration	NOUN
fsr-3737	148	21	and	and	CCONJ
fsr-3737	148	22	convexity	convexity	NOUN
fsr-3737	148	23	formulas	formula	NOUN
fsr-3737	148	24	are	be	AUX
fsr-3737	148	25	much	much	ADV
fsr-3737	148	26	easier	easy	ADJ
fsr-3737	148	27	for	for	SCONJ
fsr-3737	148	28	an	an	DET
fsr-3737	148	29	individual	individual	ADJ
fsr-3737	148	30	investor	investor	NOUN
fsr-3737	148	31	to	to	PART
fsr-3737	148	32	use	use	VERB
fsr-3737	148	33	.	.	PUNCT
fsr-3737	149	1	the	the	DET
fsr-3737	149	2	hzm	hzm	PROPN
fsr-3737	149	3	simplified	simplified	ADJ
fsr-3737	149	4	method	method	NOUN
fsr-3737	149	5	provides	provide	VERB
fsr-3737	149	6	estimates	estimate	NOUN
fsr-3737	149	7	of	of	ADP
fsr-3737	149	8	price	price	NOUN
fsr-3737	149	9	changes	change	NOUN
fsr-3737	149	10	which	which	PRON
fsr-3737	149	11	differ	differ	VERB
fsr-3737	149	12	from	from	ADP
fsr-3737	149	13	those	those	PRON
fsr-3737	149	14	produced	produce	VERB
fsr-3737	149	15	by	by	ADP
fsr-3737	149	16	traditional	traditional	ADJ
fsr-3737	149	17	duration	duration	NOUN
fsr-3737	149	18	measures	measure	NOUN
fsr-3737	149	19	by	by	ADP
fsr-3737	149	20	less	less	ADJ
fsr-3737	149	21	than	than	ADP
fsr-3737	149	22	one	one	NUM
fsr-3737	149	23	penny	penny	NOUN
fsr-3737	149	24	on	on	ADP
fsr-3737	149	25	average	average	ADJ
fsr-3737	149	26	.	.	PUNCT
fsr-3737	150	1	anyone	anyone	PRON
fsr-3737	150	2	who	who	PRON
fsr-3737	150	3	can	can	AUX
fsr-3737	150	4	calculate	calculate	VERB
fsr-3737	150	5	a	a	DET
fsr-3737	150	6	bond	bond	NOUN
fsr-3737	150	7	price	price	NOUN
fsr-3737	150	8	(	(	PUNCT
fsr-3737	150	9	actually	actually	ADV
fsr-3737	150	10	,	,	PUNCT
fsr-3737	150	11	three	three	NUM
fsr-3737	150	12	different	different	ADJ
fsr-3737	150	13	bond	bond	NOUN
fsr-3737	150	14	prices	price	NOUN
fsr-3737	150	15	)	)	PUNCT
fsr-3737	150	16	can	can	AUX
fsr-3737	150	17	now	now	ADV
fsr-3737	150	18	quickly	quickly	ADV
fsr-3737	150	19	estimate	estimate	VERB
fsr-3737	150	20	the	the	DET
fsr-3737	150	21	interest	interest	NOUN
fsr-3737	150	22	rate	rate	NOUN
fsr-3737	150	23	risk	risk	NOUN
fsr-3737	150	24	associated	associate	VERB
fsr-3737	150	25	with	with	ADP
fsr-3737	150	26	a	a	DET
fsr-3737	150	27	bond	bond	NOUN
fsr-3737	150	28	as	as	ADV
fsr-3737	150	29	well	well	ADV
fsr-3737	150	30	as	as	ADP
fsr-3737	150	31	calculate	calculate	VERB
fsr-3737	150	32	the	the	DET
fsr-3737	150	33	expected	expect	VERB
fsr-3737	150	34	bond	bond	NOUN
fsr-3737	150	35	price	price	NOUN
fsr-3737	150	36	change	change	NOUN
fsr-3737	150	37	for	for	ADP
fsr-3737	150	38	a	a	DET
fsr-3737	150	39	given	give	VERB
fsr-3737	150	40	change	change	NOUN
fsr-3737	150	41	in	in	ADP
fsr-3737	150	42	market	market	NOUN
fsr-3737	150	43	yield	yield	NOUN
fsr-3737	150	44	-	-	PUNCT
fsr-3737	150	45	to	to	ADP
fsr-3737	150	46	-	-	PUNCT
fsr-3737	150	47	maturity	maturity	NOUN
fsr-3737	150	48	.	.	PUNCT
fsr-3737	151	1	also	also	ADV
fsr-3737	151	2	,	,	PUNCT
fsr-3737	151	3	unlike	unlike	ADP
fsr-3737	151	4	previously	previously	ADV
fsr-3737	151	5	derived	derive	VERB
fsr-3737	151	6	closed	closed	ADJ
fsr-3737	151	7	-	-	PUNCT
fsr-3737	151	8	form	form	NOUN
fsr-3737	151	9	formulas	formula	NOUN
fsr-3737	151	10	,	,	PUNCT
fsr-3737	151	11	our	our	PRON
fsr-3737	151	12	formulas	formula	NOUN
fsr-3737	151	13	can	can	AUX
fsr-3737	151	14	be	be	AUX
fsr-3737	151	15	used	use	VERB
fsr-3737	151	16	in	in	ADP
fsr-3737	151	17	the	the	DET
fsr-3737	151	18	general	general	ADJ
fsr-3737	151	19	cases	case	NOUN
fsr-3737	151	20	of	of	ADP
fsr-3737	151	21	sloping	slope	VERB
fsr-3737	151	22	yield	yield	NOUN
fsr-3737	151	23	curves	curve	NOUN
fsr-3737	151	24	and	and	CCONJ
fsr-3737	151	25	nonparallel	nonparallel	ADJ
fsr-3737	151	26	shifts	shift	NOUN
fsr-3737	151	27	in	in	ADP
fsr-3737	151	28	yield	yield	NOUN
fsr-3737	151	29	curves	curve	NOUN
fsr-3737	151	30	.	.	PUNCT
fsr-3737	152	1	40	40	NUM
fsr-3737	152	2	financial	financial	ADJ
fsr-3737	152	3	services	service	NOUN
fsr-3737	152	4	review	review	VERB
fsr-3737	152	5	4(l	4(l	NUM
fsr-3737	152	6	)	)	PUNCT
fsr-3737	152	7	1995	1995	NUM
fsr-3737	152	8	1	1	NUM
fsr-3737	152	9	.	.	X
fsr-3737	153	1	for	for	ADP
fsr-3737	153	2	a	a	DET
fsr-3737	153	3	detailed	detailed	ADJ
fsr-3737	153	4	discussion	discussion	NOUN
fsr-3737	153	5	of	of	ADP
fsr-3737	153	6	convexity	convexity	NOUN
fsr-3737	153	7	,	,	PUNCT
fsr-3737	153	8	see	see	VERB
fsr-3737	153	9	riley	riley	NOUN
fsr-3737	153	10	(	(	PUNCT
fsr-3737	153	11	1989	1989	NUM
fsr-3737	153	12	,	,	PUNCT
fsr-3737	153	13	pp	pp	ADJ
fsr-3737	153	14	.	.	PUNCT
fsr-3737	154	1	427	427	NUM
fsr-3737	154	2	-	-	SYM
fsr-3737	154	3	431	431	NUM
fsr-3737	154	4	)	)	PUNCT
fsr-3737	155	1	,	,	PUNCT
fsr-3737	155	2	francis	francis	PROPN
fsr-3737	155	3	(	(	PUNCT
fsr-3737	155	4	1991	1991	NUM
fsr-3737	155	5	,	,	PUNCT
fsr-3737	155	6	pp.407	pp.407	PROPN
fsr-3737	155	7	-	-	PUNCT
fsr-3737	155	8	411	411	NUM
fsr-3737	155	9	)	)	PUNCT
fsr-3737	155	10	,	,	PUNCT
fsr-3737	155	11	kolb	kolb	PROPN
fsr-3737	155	12	(	(	PUNCT
fsr-3737	155	13	1992	1992	NUM
fsr-3737	155	14	,	,	PUNCT
fsr-3737	155	15	pp	pp	ADV
fsr-3737	155	16	.	.	PUNCT
fsr-3737	156	1	245	245	NUM
fsr-3737	156	2	-	-	NUM
fsr-3737	156	3	251	251	NUM
fsr-3737	156	4	)	)	PUNCT
fsr-3737	156	5	,	,	PUNCT
fsr-3737	156	6	and	and	CCONJ
fsr-3737	156	7	maginn	maginn	NOUN
fsr-3737	156	8	and	and	CCONJ
fsr-3737	156	9	tuttle	tuttle	PROPN
fsr-3737	156	10	(	(	PUNCT
fsr-3737	156	11	1990	1990	NUM
fsr-3737	156	12	,	,	PUNCT
fsr-3737	156	13	pp	pp	ADJ
fsr-3737	156	14	.	.	PUNCT
fsr-3737	157	1	68	68	NUM
fsr-3737	157	2	-	-	SYM
fsr-3737	157	3	69	69	NUM
fsr-3737	157	4	)	)	PUNCT
fsr-3737	157	5	.	.	PUNCT
fsr-3737	158	1	2	2	X
fsr-3737	158	2	.	.	X
fsr-3737	158	3	the	the	DET
fsr-3737	158	4	expression	expression	NOUN
fsr-3737	158	5	is	be	AUX
fsr-3737	158	6	the	the	DET
fsr-3737	158	7	first	first	ADJ
fsr-3737	158	8	two	two	NUM
fsr-3737	158	9	terms	term	NOUN
fsr-3737	158	10	of	of	ADP
fsr-3737	158	11	a	a	DET
fsr-3737	158	12	taylor	taylor	PROPN
fsr-3737	158	13	expansion	expansion	NOUN
fsr-3737	158	14	series	series	NOUN
fsr-3737	158	15	.	.	PUNCT
fsr-3737	159	1	an	an	DET
fsr-3737	159	2	explanation	explanation	NOUN
fsr-3737	159	3	of	of	ADP
fsr-3737	159	4	the	the	DET
fsr-3737	159	5	origins	origin	NOUN
fsr-3737	159	6	of	of	ADP
fsr-3737	159	7	the	the	DET
fsr-3737	159	8	5	5	NUM
fsr-3737	159	9	and	and	CCONJ
fsr-3737	159	10	(	(	PUNCT
fsr-3737	159	11	ad2	ad2	PROPN
fsr-3737	159	12	terms	term	NOUN
fsr-3737	159	13	can	can	AUX
fsr-3737	159	14	be	be	AUX
fsr-3737	159	15	found	find	VERB
fsr-3737	159	16	in	in	ADP
fsr-3737	159	17	reilly	reilly	PROPN
fsr-3737	159	18	(	(	PUNCT
fsr-3737	159	19	p.	p.	NOUN
fsr-3737	159	20	430	430	NUM
fsr-3737	159	21	)	)	PUNCT
fsr-3737	159	22	and	and	CCONJ
fsr-3737	159	23	dunetz	dunetz	NOUN
fsr-3737	159	24	and	and	CCONJ
fsr-3737	159	25	mahony	mahony	X
fsr-3737	159	26	(	(	PUNCT
fsr-3737	159	27	1988	1988	NUM
fsr-3737	159	28	,	,	PUNCT
fsr-3737	159	29	p.	p.	NOUN
fsr-3737	159	30	57	57	NUM
fsr-3737	159	31	)	)	PUNCT
fsr-3737	159	32	.	.	PUNCT
fsr-3737	160	1	3	3	X
fsr-3737	160	2	.	.	X
fsr-3737	160	3	reilly	reilly	ADV
fsr-3737	160	4	uses	use	VERB
fsr-3737	160	5	$	$	SYM
fsr-3737	160	6	1,265	1,265	NUM
fsr-3737	160	7	,	,	PUNCT
fsr-3737	160	8	although	although	SCONJ
fsr-3737	160	9	the	the	DET
fsr-3737	160	10	actual	actual	ADJ
fsr-3737	160	11	price	price	NOUN
fsr-3737	160	12	would	would	AUX
fsr-3737	160	13	be	be	AUX
fsr-3737	160	14	$	$	SYM
fsr-3737	160	15	1,264.99	1,264.99	NUM
fsr-3737	160	16	.	.	PUNCT
fsr-3737	161	1	the	the	DET
fsr-3737	161	2	$	$	SYM
fsr-3737	161	3	1,265	1,265	NUM
fsr-3737	161	4	figure	figure	NOUN
fsr-3737	161	5	is	be	AUX
fsr-3737	161	6	used	use	VERB
fsr-3737	161	7	here	here	ADV
fsr-3737	161	8	to	to	PART
fsr-3737	161	9	maintain	maintain	VERB
fsr-3737	161	10	comparibility	comparibility	NOUN
fsr-3737	161	11	with	with	ADP
fsr-3737	161	12	the	the	DET
fsr-3737	161	13	reilly	reilly	ADJ
fsr-3737	161	14	text	text	NOUN
fsr-3737	161	15	example	example	NOUN
fsr-3737	161	16	.	.	PUNCT
fsr-3737	162	1	4	4	X
fsr-3737	162	2	.	.	X
fsr-3737	162	3	for	for	ADP
fsr-3737	162	4	semi	semi	ADJ
fsr-3737	162	5	-	-	ADJ
fsr-3737	162	6	annual	annual	ADJ
fsr-3737	162	7	coupon	coupon	NOUN
fsr-3737	162	8	bonds	bond	NOUN
fsr-3737	162	9	,	,	PUNCT
fsr-3737	162	10	the	the	DET
fsr-3737	162	11	duration	duration	NOUN
fsr-3737	162	12	calculation	calculation	NOUN
fsr-3737	162	13	must	must	AUX
fsr-3737	162	14	be	be	AUX
fsr-3737	162	15	divided	divide	VERB
fsr-3737	162	16	by	by	ADP
fsr-3737	162	17	2	2	NUM
fsr-3737	162	18	.	.	PUNCT
fsr-3737	163	1	because	because	SCONJ
fsr-3737	163	2	convexity	convexity	NOUN
fsr-3737	163	3	is	be	AUX
fsr-3737	163	4	the	the	DET
fsr-3737	163	5	second	second	ADJ
fsr-3737	163	6	derivative	derivative	NOUN
fsr-3737	163	7	,	,	PUNCT
fsr-3737	163	8	the	the	DET
fsr-3737	163	9	ai/	ai/	ADJ
fsr-3737	163	10	term	term	NOUN
fsr-3737	163	11	is	be	AUX
fsr-3737	163	12	squared	square	VERB
fsr-3737	163	13	,	,	PUNCT
fsr-3737	163	14	yielding	yield	VERB
fsr-3737	163	15	ai’/4	ai’/4	NOUN
fsr-3737	163	16	.	.	PUNCT
fsr-3737	164	1	thus	thus	ADV
fsr-3737	164	2	,	,	PUNCT
fsr-3737	164	3	the	the	DET
fsr-3737	164	4	convexity	convexity	NOUN
fsr-3737	164	5	calculation	calculation	NOUN
fsr-3737	164	6	must	must	AUX
fsr-3737	164	7	be	be	AUX
fsr-3737	164	8	divided	divide	VERB
fsr-3737	164	9	by	by	ADP
fsr-3737	164	10	4	4	NUM
fsr-3737	164	11	for	for	ADP
fsr-3737	164	12	semi	semi	ADJ
fsr-3737	164	13	-	-	ADJ
fsr-3737	164	14	annual	annual	ADJ
fsr-3737	164	15	coupon	coupon	NOUN
fsr-3737	164	16	bonds	bond	NOUN
fsr-3737	164	17	.	.	PUNCT
fsr-3737	165	1	5	5	X
fsr-3737	165	2	.	.	X
fsr-3737	165	3	answers	answer	NOUN
fsr-3737	165	4	are	be	AUX
fsr-3737	165	5	shown	show	VERB
fsr-3737	165	6	to	to	ADP
fsr-3737	165	7	the	the	DET
fsr-3737	165	8	nearest	near	ADJ
fsr-3737	165	9	cent	cent	NOUN
fsr-3737	165	10	.	.	PUNCT
fsr-3737	166	1	all	all	DET
fsr-3737	166	2	calculations	calculation	NOUN
fsr-3737	166	3	are	be	AUX
fsr-3737	166	4	performed	perform	VERB
fsr-3737	166	5	using	use	VERB
fsr-3737	166	6	the	the	DET
fsr-3737	166	7	memory	memory	NOUN
fsr-3737	166	8	functions	function	NOUN
fsr-3737	166	9	of	of	ADP
fsr-3737	166	10	the	the	DET
fsr-3737	166	11	calculator	calculator	NOUN
fsr-3737	166	12	to	to	PART
fsr-3737	166	13	maximize	maximize	VERB
fsr-3737	166	14	the	the	DET
fsr-3737	166	15	accuracy	accuracy	NOUN
fsr-3737	166	16	for	for	ADP
fsr-3737	166	17	small	small	ADJ
fsr-3737	166	18	changes	change	NOUN
fsr-3737	166	19	in	in	ADP
fsr-3737	166	20	i.	i.	PROPN
fsr-3737	166	21	references	reference	NOUN
fsr-3737	166	22	benesh	benesh	VERB
fsr-3737	166	23	,	,	PUNCT
fsr-3737	166	24	g.a	g.a	PROPN
fsr-3737	166	25	.	.	PROPN
fsr-3737	166	26	,	,	PUNCT
fsr-3737	166	27	&	&	CCONJ
fsr-3737	166	28	celec	celec	PROPN
fsr-3737	166	29	,	,	PUNCT
fsr-3737	166	30	s.e	s.e	PROPN
fsr-3737	166	31	.	.	PROPN
fsr-3737	166	32	(	(	PUNCT
fsr-3737	166	33	1984	1984	NUM
fsr-3737	166	34	)	)	PUNCT
fsr-3737	166	35	.	.	PUNCT
fsr-3737	167	1	a	a	DET
fsr-3737	167	2	simplified	simplified	ADJ
fsr-3737	167	3	approach	approach	NOUN
fsr-3737	167	4	for	for	ADP
fsr-3737	167	5	calculating	calculate	VERB
fsr-3737	167	6	bond	bond	NOUN
fsr-3737	167	7	duration	duration	NOUN
fsr-3737	167	8	.	.	PUNCT
fsr-3737	168	1	financial	financial	ADJ
fsr-3737	168	2	review	review	PROPN
fsr-3737	168	3	,	,	PUNCT
fsr-3737	168	4	19(4	19(4	PROPN
fsr-3737	168	5	)	)	PUNCT
fsr-3737	168	6	,	,	PUNCT
fsr-3737	168	7	394	394	NUM
fsr-3737	168	8	-	-	SYM
fsr-3737	168	9	396	396	NUM
fsr-3737	168	10	.	.	PUNCT
fsr-3737	169	1	caks	cak	NOUN
fsr-3737	169	2	,	,	PUNCT
fsr-3737	169	3	j.	j.	PROPN
fsr-3737	169	4	,	,	PUNCT
fsr-3737	169	5	lane	lane	PROPN
fsr-3737	169	6	,	,	PUNCT
fsr-3737	169	7	w.r	w.r	PROPN
fsr-3737	169	8	.	.	PROPN
fsr-3737	169	9	,	,	PUNCT
fsr-3737	169	10	greenleaf	greenleaf	PROPN
fsr-3737	169	11	,	,	PUNCT
fsr-3737	169	12	r.w	r.w	PROPN
fsr-3737	169	13	.	.	PROPN
fsr-3737	169	14	,	,	PUNCT
fsr-3737	169	15	&	&	CCONJ
fsr-3737	169	16	joules	joules	PROPN
fsr-3737	169	17	,	,	PUNCT
fsr-3737	169	18	r.g	r.g	PROPN
fsr-3737	169	19	.	.	PROPN
fsr-3737	169	20	(	(	PUNCT
fsr-3737	169	21	1985	1985	NUM
fsr-3737	169	22	)	)	PUNCT
fsr-3737	169	23	.	.	PUNCT
fsr-3737	170	1	a	a	DET
fsr-3737	170	2	simple	simple	ADJ
fsr-3737	170	3	formula	formula	NOUN
fsr-3737	170	4	for	for	ADP
fsr-3737	170	5	duration	duration	NOUN
fsr-3737	170	6	.	.	PUNCT
fsr-3737	171	1	journal	journal	PROPN
fsr-3737	171	2	of	of	ADP
fsr-3737	171	3	financial	financial	ADJ
fsr-3737	171	4	research	research	NOUN
fsr-3737	171	5	,	,	PUNCT
fsr-3737	171	6	8(3	8(3	NUM
fsr-3737	171	7	)	)	PUNCT
fsr-3737	171	8	,	,	PUNCT
fsr-3737	171	9	245	245	NUM
fsr-3737	171	10	-	-	SYM
fsr-3737	171	11	249	249	NUM
fsr-3737	171	12	.	.	PUNCT
fsr-3737	172	1	chua	chua	PROPN
fsr-3737	172	2	,	,	PUNCT
fsr-3737	172	3	j.	j.	PROPN
fsr-3737	172	4	(	(	PUNCT
fsr-3737	172	5	1984	1984	NUM
fsr-3737	172	6	)	)	PUNCT
fsr-3737	172	7	.	.	PUNCT
fsr-3737	173	1	a	a	DET
fsr-3737	173	2	closed	close	VERB
fsr-3737	173	3	-	-	PUNCT
fsr-3737	173	4	form	form	NOUN
fsr-3737	173	5	formula	formula	NOUN
fsr-3737	173	6	for	for	ADP
fsr-3737	173	7	calculating	calculate	VERB
fsr-3737	173	8	bond	bond	NOUN
fsr-3737	173	9	duration	duration	NOUN
fsr-3737	173	10	.	.	PUNCT
fsr-3737	174	1	financial	financial	ADJ
fsr-3737	174	2	analysfs	analysfs	PROPN
fsr-3737	174	3	journal	journal	PROPN
fsr-3737	174	4	,	,	PUNCT
fsr-3737	174	5	40(3	40(3	NUM
fsr-3737	174	6	)	)	PUNCT
fsr-3737	174	7	,	,	PUNCT
fsr-3737	174	8	76	76	NUM
fsr-3737	174	9	-	-	SYM
fsr-3737	174	10	78	78	NUM
fsr-3737	174	11	.	.	PUNCT
fsr-3737	175	1	dunetz	dunetz	PROPN
fsr-3737	175	2	,	,	PUNCT
fsr-3737	175	3	m.l	m.l	PROPN
fsr-3737	175	4	.	.	PROPN
fsr-3737	175	5	,	,	PUNCT
fsr-3737	175	6	&	&	CCONJ
fsr-3737	175	7	mahoney	mahoney	PROPN
fsr-3737	175	8	,	,	PUNCT
fsr-3737	175	9	j.m	j.m	PROPN
fsr-3737	175	10	.	.	PROPN
fsr-3737	175	11	(	(	PUNCT
fsr-3737	175	12	1988	1988	NUM
fsr-3737	175	13	)	)	PUNCT
fsr-3737	175	14	.	.	PUNCT
fsr-3737	176	1	using	use	VERB
fsr-3737	176	2	duration	duration	NOUN
fsr-3737	176	3	and	and	CCONJ
fsr-3737	176	4	convexity	convexity	NOUN
fsr-3737	176	5	in	in	ADP
fsr-3737	176	6	the	the	DET
fsr-3737	176	7	analysis	analysis	NOUN
fsr-3737	176	8	of	of	ADP
fsr-3737	176	9	callable	callable	ADJ
fsr-3737	176	10	bonds	bond	NOUN
fsr-3737	176	11	.	.	PUNCT
fsr-3737	177	1	financial	financial	ADJ
fsr-3737	177	2	analyst	analyst	NOUN
fsr-3737	177	3	journal	journal	PROPN
fsr-3737	177	4	,	,	PUNCT
fsr-3737	177	5	n(3	n(3	PROPN
fsr-3737	177	6	)	)	PUNCT
fsr-3737	177	7	,	,	PUNCT
fsr-3737	177	8	53	53	NUM
fsr-3737	177	9	-	-	SYM
fsr-3737	177	10	73	73	NUM
fsr-3737	177	11	.	.	PUNCT
fsr-3737	178	1	francis	francis	PROPN
fsr-3737	178	2	,	,	PUNCT
fsr-3737	178	3	j.c	j.c	PROPN
fsr-3737	178	4	.	.	PROPN
fsr-3737	178	5	(	(	PUNCT
fsr-3737	178	6	1991	1991	NUM
fsr-3737	178	7	)	)	PUNCT
fsr-3737	178	8	.	.	PUNCT
fsr-3737	179	1	investments	investment	NOUN
fsr-3737	179	2	:	:	PUNCT
fsr-3737	179	3	analysis	analysis	NOUN
fsr-3737	179	4	and	and	CCONJ
fsr-3737	179	5	management	management	NOUN
fsr-3737	179	6	.	.	PUNCT
fsr-3737	180	1	5th	5th	ADJ
fsr-3737	180	2	edition	edition	NOUN
fsr-3737	180	3	.	.	PUNCT
fsr-3737	181	1	new	new	PROPN
fsr-3737	181	2	york	york	PROPN
fsr-3737	181	3	:	:	PUNCT
fsr-3737	181	4	mcgraw	mcgraw	PROPN
fsr-3737	181	5	-	-	PUNCT
fsr-3737	181	6	hill	hill	PROPN
fsr-3737	181	7	.	.	PUNCT
fsr-3737	182	1	kolb	kolb	PROPN
fsr-3737	182	2	,	,	PUNCT
fsr-3737	182	3	r.w	r.w	PROPN
fsr-3737	182	4	.	.	PROPN
fsr-3737	182	5	(	(	PUNCT
fsr-3737	182	6	1992	1992	NUM
fsr-3737	182	7	)	)	PUNCT
fsr-3737	182	8	.	.	PUNCT
fsr-3737	183	1	investments	investment	NOUN
fsr-3737	183	2	.	.	PUNCT
fsr-3737	184	1	3rd	3rd	ADJ
fsr-3737	184	2	edition	edition	NOUN
fsr-3737	184	3	.	.	PUNCT
fsr-3737	185	1	miami	miami	PROPN
fsr-3737	185	2	,	,	PUNCT
fsr-3737	185	3	fl	fl	PROPN
fsr-3737	185	4	:	:	PUNCT
fsr-3737	185	5	kolb	kolb	PROPN
fsr-3737	185	6	publishing	publishing	PROPN
fsr-3737	185	7	.	.	PUNCT
fsr-3737	186	1	macaulay	macaulay	PROPN
fsr-3737	186	2	,	,	PUNCT
fsr-3737	186	3	f.r	f.r	PROPN
fsr-3737	186	4	.	.	PUNCT
fsr-3737	186	5	(	(	PUNCT
fsr-3737	186	6	1938	1938	NUM
fsr-3737	186	7	)	)	PUNCT
fsr-3737	186	8	.	.	PUNCT
fsr-3737	187	1	some	some	DET
fsr-3737	187	2	theoretical	theoretical	ADJ
fsr-3737	187	3	problems	problem	NOUN
fsr-3737	187	4	suggested	suggest	VERB
fsr-3737	187	5	by	by	ADP
fsr-3737	187	6	the	the	DET
fsr-3737	187	7	movement	movement	NOUN
fsr-3737	187	8	of	of	ADP
fsr-3737	187	9	interest	interest	NOUN
fsr-3737	187	10	rates	rate	NOUN
fsr-3737	187	11	,	,	PUNCT
fsr-3737	187	12	bond	bond	NOUN
fsr-3737	187	13	yields	yield	NOUN
fsr-3737	187	14	,	,	PUNCT
fsr-3737	187	15	and	and	CCONJ
fsr-3737	187	16	stock	stock	NOUN
fsr-3737	187	17	prices	price	NOUN
fsr-3737	187	18	in	in	ADP
fsr-3737	187	19	the	the	DET
fsr-3737	187	20	united	united	PROPN
fsr-3737	187	21	states	states	PROPN
fsr-3737	187	22	since	since	SCONJ
fsr-3737	187	23	1856	1856	NUM
fsr-3737	187	24	.	.	PUNCT
fsr-3737	188	1	new	new	PROPN
fsr-3737	188	2	york	york	PROPN
fsr-3737	188	3	:	:	PUNCT
fsr-3737	188	4	national	national	PROPN
fsr-3737	188	5	bureau	bureau	PROPN
fsr-3737	188	6	of	of	ADP
fsr-3737	188	7	economic	economic	ADJ
fsr-3737	188	8	research	research	NOUN
fsr-3737	188	9	.	.	PUNCT
fsr-3737	189	1	maginn	maginn	PROPN
fsr-3737	189	2	,	,	PUNCT
fsr-3737	189	3	j.l	j.l	PROPN
fsr-3737	189	4	.	.	PROPN
fsr-3737	189	5	,	,	PUNCT
fsr-3737	189	6	&	&	CCONJ
fsr-3737	189	7	tuttle	tuttle	PROPN
fsr-3737	189	8	,	,	PUNCT
fsr-3737	189	9	d.l	d.l	PROPN
fsr-3737	189	10	.	.	PROPN
fsr-3737	189	11	(	(	PUNCT
fsr-3737	189	12	1990	1990	NUM
fsr-3737	189	13	)	)	PUNCT
fsr-3737	189	14	.	.	PUNCT
fsr-3737	190	1	managing	manage	VERB
fsr-3737	190	2	investment	investment	NOUN
fsr-3737	190	3	portfolios	portfolio	NOUN
fsr-3737	190	4	.	.	PUNCT
fsr-3737	191	1	2ndedition	2ndedition	NUM
fsr-3737	191	2	.	.	PUNCT
fsr-3737	192	1	new	new	PROPN
fsr-3737	192	2	york	york	PROPN
fsr-3737	192	3	:	:	PUNCT
fsr-3737	192	4	warren	warren	PROPN
fsr-3737	192	5	,	,	PUNCT
fsr-3737	192	6	gorham	gorham	PROPN
fsr-3737	192	7	and	and	CCONJ
fsr-3737	192	8	lamont	lamont	PROPN
fsr-3737	192	9	.	.	PUNCT
fsr-3737	193	1	moser	moser	PROPN
fsr-3737	193	2	,	,	PUNCT
fsr-3737	193	3	j.t	j.t	PROPN
fsr-3737	193	4	.	.	PROPN
fsr-3737	193	5	,	,	PUNCT
fsr-3737	193	6	&	&	CCONJ
fsr-3737	193	7	lindley	lindley	PROPN
fsr-3737	193	8	,	,	PUNCT
fsr-3737	193	9	j.t	j.t	PROPN
fsr-3737	193	10	.	.	PROPN
fsr-3737	193	11	(	(	PUNCT
fsr-3737	193	12	1989	1989	NUM
fsr-3737	193	13	)	)	PUNCT
fsr-3737	193	14	.	.	PUNCT
fsr-3737	194	1	a	a	DET
fsr-3737	194	2	simple	simple	ADJ
fsr-3737	194	3	formula	formula	NOUN
fsr-3737	194	4	for	for	ADP
fsr-3737	194	5	duration	duration	NOUN
fsr-3737	194	6	:	:	PUNCT
fsr-3737	194	7	an	an	DET
fsr-3737	194	8	extension	extension	NOUN
fsr-3737	194	9	.	.	PUNCT
fsr-3737	195	1	financial	financial	ADJ
fsr-3737	195	2	review	review	PROPN
fsr-3737	195	3	,	,	PUNCT
fsr-3737	195	4	24(4	24(4	NUM
fsr-3737	195	5	)	)	PUNCT
fsr-3737	195	6	,	,	PUNCT
fsr-3737	195	7	61	61	NUM
fsr-3737	195	8	l-615	l-615	NOUN
fsr-3737	195	9	.	.	PUNCT
fsr-3737	196	1	reilly	reilly	PROPN
fsr-3737	196	2	,	,	PUNCT
fsr-3737	196	3	f.k	f.k	PROPN
fsr-3737	196	4	.	.	PROPN
fsr-3737	196	5	(	(	PUNCT
fsr-3737	196	6	1989	1989	NUM
fsr-3737	196	7	)	)	PUNCT
fsr-3737	196	8	.	.	PUNCT
fsr-3737	197	1	investment	investment	NOUN
fsr-3737	197	2	analysis	analysis	NOUN
fsr-3737	197	3	and	and	CCONJ
fsr-3737	197	4	portfolio	portfolio	NOUN
fsr-3737	197	5	management	management	NOUN
fsr-3737	197	6	.	.	PUNCT
fsr-3737	198	1	3rd	3rd	PROPN
fsr-3737	198	2	edition	edition	NOUN
fsr-3737	198	3	.	.	PUNCT
fsr-3737	199	1	chicago	chicago	PROPN
fsr-3737	199	2	:	:	PUNCT
fsr-3737	199	3	dryden	dryden	PROPN
fsr-3737	199	4	press	press	PROPN
fsr-3737	199	5	.	.	PUNCT