id	sid	tid	token	lemma	pos
fbem-19724	1	1	frontiers	frontier	NOUN
fbem-19724	1	2	in	in	ADP
fbem-19724	1	3	business	business	NOUN
fbem-19724	1	4	,	,	PUNCT
fbem-19724	1	5	economics	economic	NOUN
fbem-19724	1	6	and	and	CCONJ
fbem-19724	1	7	management	management	NOUN
fbem-19724	1	8	issn	issn	PROPN
fbem-19724	1	9	:	:	PUNCT
fbem-19724	1	10	2766	2766	NUM
fbem-19724	1	11	-	-	PUNCT
fbem-19724	1	12	824x	824x	NUM
fbem-19724	1	13	|	|	ADJ
fbem-19724	1	14	vol	vol	NOUN
fbem-19724	1	15	.	.	PUNCT
fbem-19724	2	1	14	14	NUM
fbem-19724	2	2	,	,	PUNCT
fbem-19724	2	3	no	no	INTJ
fbem-19724	2	4	.	.	NOUN
fbem-19724	2	5	2	2	NUM
fbem-19724	2	6	,	,	PUNCT
fbem-19724	2	7	2024	2024	NUM
fbem-19724	2	8	189	189	NUM
fbem-19724	2	9	capital	capital	NOUN
fbem-19724	2	10	allocation	allocation	NOUN
fbem-19724	2	11	analysis	analysis	NOUN
fbem-19724	2	12	based	base	VERB
fbem-19724	2	13	on	on	ADP
fbem-19724	2	14	markowitz	markowitz	PROPN
fbem-19724	2	15	model	model	PROPN
fbem-19724	2	16	and	and	CCONJ
fbem-19724	2	17	index	index	NOUN
fbem-19724	2	18	model	model	NOUN
fbem-19724	2	19	zehua	zehua	PROPN
fbem-19724	2	20	li1	li1	PROPN
fbem-19724	2	21	,	,	PUNCT
fbem-19724	2	22	*	*	PROPN
fbem-19724	2	23	1university	1university	NUM
fbem-19724	2	24	of	of	ADP
fbem-19724	2	25	southampton	southampton	PROPN
fbem-19724	2	26	,	,	PUNCT
fbem-19724	2	27	uk	uk	PROPN
fbem-19724	2	28	*	*	PUNCT
fbem-19724	2	29	corresponding	correspond	VERB
fbem-19724	2	30	author	author	NOUN
fbem-19724	2	31	:	:	PUNCT
fbem-19724	2	32	jefflee15945@gmail.com	jefflee15945@gmail.com	X
fbem-19724	2	33	abstract	abstract	PROPN
fbem-19724	2	34	:	:	PUNCT
fbem-19724	2	35	in	in	ADP
fbem-19724	2	36	finance	finance	NOUN
fbem-19724	2	37	,	,	PUNCT
fbem-19724	2	38	the	the	DET
fbem-19724	2	39	question	question	NOUN
fbem-19724	2	40	of	of	ADP
fbem-19724	2	41	how	how	SCONJ
fbem-19724	2	42	best	good	ADJ
fbem-19724	2	43	to	to	PART
fbem-19724	2	44	invest	invest	VERB
fbem-19724	2	45	money	money	NOUN
fbem-19724	2	46	to	to	PART
fbem-19724	2	47	make	make	VERB
fbem-19724	2	48	more	more	ADJ
fbem-19724	2	49	money	money	NOUN
fbem-19724	2	50	is	be	AUX
fbem-19724	2	51	not	not	PART
fbem-19724	2	52	an	an	DET
fbem-19724	2	53	easy	easy	ADJ
fbem-19724	2	54	one	one	NUM
fbem-19724	2	55	.	.	PUNCT
fbem-19724	3	1	some	some	DET
fbem-19724	3	2	academics	academic	NOUN
fbem-19724	3	3	and	and	CCONJ
fbem-19724	3	4	hands	hand	NOUN
fbem-19724	3	5	-	-	PUNCT
fbem-19724	3	6	on	on	ADP
fbem-19724	3	7	practitioners	practitioner	NOUN
fbem-19724	3	8	have	have	AUX
fbem-19724	3	9	studied	study	VERB
fbem-19724	3	10	into	into	ADP
fbem-19724	3	11	this	this	DET
fbem-19724	3	12	field	field	NOUN
fbem-19724	3	13	for	for	ADP
fbem-19724	3	14	decades	decade	NOUN
fbem-19724	3	15	.	.	PUNCT
fbem-19724	4	1	this	this	DET
fbem-19724	4	2	article	article	NOUN
fbem-19724	4	3	delves	delve	VERB
fbem-19724	4	4	into	into	ADP
fbem-19724	4	5	this	this	DET
fbem-19724	4	6	issue	issue	NOUN
fbem-19724	4	7	,	,	PUNCT
fbem-19724	4	8	with	with	ADP
fbem-19724	4	9	a	a	DET
fbem-19724	4	10	special	special	ADJ
fbem-19724	4	11	focus	focus	NOUN
fbem-19724	4	12	on	on	ADP
fbem-19724	4	13	a	a	DET
fbem-19724	4	14	detailed	detailed	ADJ
fbem-19724	4	15	analysis	analysis	NOUN
fbem-19724	4	16	of	of	ADP
fbem-19724	4	17	various	various	ADJ
fbem-19724	4	18	investment	investment	NOUN
fbem-19724	4	19	plans	plan	NOUN
fbem-19724	4	20	.	.	PUNCT
fbem-19724	5	1	to	to	PART
fbem-19724	5	2	get	get	VERB
fbem-19724	5	3	a	a	DET
fbem-19724	5	4	better	well	ADJ
fbem-19724	5	5	idea	idea	NOUN
fbem-19724	5	6	of	of	ADP
fbem-19724	5	7	which	which	DET
fbem-19724	5	8	plan	plan	NOUN
fbem-19724	5	9	is	be	AUX
fbem-19724	5	10	better	well	ADJ
fbem-19724	5	11	in	in	ADP
fbem-19724	5	12	a	a	DET
fbem-19724	5	13	given	give	VERB
fbem-19724	5	14	situation	situation	NOUN
fbem-19724	5	15	,	,	PUNCT
fbem-19724	5	16	this	this	DET
fbem-19724	5	17	paper	paper	NOUN
fbem-19724	5	18	dug	dig	VERB
fbem-19724	5	19	through	through	ADP
fbem-19724	5	20	a	a	DET
fbem-19724	5	21	bunch	bunch	NOUN
fbem-19724	5	22	of	of	ADP
fbem-19724	5	23	data	datum	NOUN
fbem-19724	5	24	that	that	PRON
fbem-19724	5	25	included	include	VERB
fbem-19724	5	26	ten	ten	NUM
fbem-19724	5	27	different	different	ADJ
fbem-19724	5	28	company	company	NOUN
fbem-19724	5	29	stocks	stock	NOUN
fbem-19724	5	30	from	from	ADP
fbem-19724	5	31	various	various	ADJ
fbem-19724	5	32	industries	industry	NOUN
fbem-19724	5	33	,	,	PUNCT
fbem-19724	5	34	as	as	ADV
fbem-19724	5	35	well	well	ADV
fbem-19724	5	36	as	as	ADP
fbem-19724	5	37	daily	daily	ADJ
fbem-19724	5	38	revenue	revenue	NOUN
fbem-19724	5	39	data	datum	NOUN
fbem-19724	5	40	for	for	ADP
fbem-19724	5	41	the	the	DET
fbem-19724	5	42	s&p	s&p	PROPN
fbem-19724	5	43	500	500	NUM
fbem-19724	5	44	over	over	ADP
fbem-19724	5	45	a	a	DET
fbem-19724	5	46	20	20	NUM
fbem-19724	5	47	-	-	PUNCT
fbem-19724	5	48	year	year	NOUN
fbem-19724	5	49	history	history	NOUN
fbem-19724	5	50	.	.	PUNCT
fbem-19724	6	1	this	this	DET
fbem-19724	6	2	paper	paper	NOUN
fbem-19724	6	3	mainly	mainly	ADV
fbem-19724	6	4	looked	look	VERB
fbem-19724	6	5	at	at	ADP
fbem-19724	6	6	two	two	NUM
fbem-19724	6	7	key	key	ADJ
fbem-19724	6	8	investment	investment	NOUN
fbem-19724	6	9	plans	plan	NOUN
fbem-19724	6	10	:	:	PUNCT
fbem-19724	6	11	the	the	DET
fbem-19724	6	12	markowitz	markowitz	PROPN
fbem-19724	6	13	model	model	PROPN
fbem-19724	6	14	and	and	CCONJ
fbem-19724	6	15	the	the	DET
fbem-19724	6	16	index	index	NOUN
fbem-19724	6	17	model	model	NOUN
fbem-19724	6	18	.	.	PUNCT
fbem-19724	7	1	this	this	DET
fbem-19724	7	2	paper	paper	NOUN
fbem-19724	7	3	did	do	VERB
fbem-19724	7	4	some	some	DET
fbem-19724	7	5	simple	simple	ADJ
fbem-19724	7	6	math	math	NOUN
fbem-19724	7	7	and	and	CCONJ
fbem-19724	7	8	theoretical	theoretical	ADJ
fbem-19724	7	9	research	research	NOUN
fbem-19724	7	10	,	,	PUNCT
fbem-19724	7	11	and	and	CCONJ
fbem-19724	7	12	then	then	ADV
fbem-19724	7	13	this	this	DET
fbem-19724	7	14	paper	paper	NOUN
fbem-19724	7	15	used	use	VERB
fbem-19724	7	16	the	the	DET
fbem-19724	7	17	capabilities	capability	NOUN
fbem-19724	7	18	of	of	ADP
fbem-19724	7	19	excel	excel	NOUN
fbem-19724	7	20	to	to	PART
fbem-19724	7	21	help	help	VERB
fbem-19724	7	22	us	we	PRON
fbem-19724	7	23	find	find	VERB
fbem-19724	7	24	the	the	DET
fbem-19724	7	25	best	good	ADJ
fbem-19724	7	26	solution	solution	NOUN
fbem-19724	7	27	.	.	PUNCT
fbem-19724	8	1	and	and	CCONJ
fbem-19724	8	2	the	the	DET
fbem-19724	8	3	analysis	analysis	NOUN
fbem-19724	8	4	specially	specially	ADV
fbem-19724	8	5	adopted	adopt	VERB
fbem-19724	8	6	a	a	DET
fbem-19724	8	7	monthly	monthly	ADJ
fbem-19724	8	8	summary	summary	NOUN
fbem-19724	8	9	method	method	NOUN
fbem-19724	8	10	,	,	PUNCT
fbem-19724	8	11	minimized	minimize	VERB
fbem-19724	8	12	the	the	DET
fbem-19724	8	13	complexity	complexity	NOUN
fbem-19724	8	14	of	of	ADP
fbem-19724	8	15	the	the	DET
fbem-19724	8	16	data	datum	NOUN
fbem-19724	8	17	on	on	ADP
fbem-19724	8	18	a	a	DET
fbem-19724	8	19	horizon	horizon	NOUN
fbem-19724	8	20	.	.	PUNCT
fbem-19724	9	1	and	and	CCONJ
fbem-19724	9	2	the	the	DET
fbem-19724	9	3	study	study	NOUN
fbem-19724	9	4	critically	critically	ADV
fbem-19724	9	5	evaluating	evaluate	VERB
fbem-19724	9	6	investment	investment	NOUN
fbem-19724	9	7	strategies	strategy	NOUN
fbem-19724	9	8	within	within	ADP
fbem-19724	9	9	real	real	ADJ
fbem-19724	9	10	-	-	PUNCT
fbem-19724	9	11	world	world	NOUN
fbem-19724	9	12	constraints	constraint	NOUN
fbem-19724	9	13	such	such	ADJ
fbem-19724	9	14	as	as	ADP
fbem-19724	9	15	regulation	regulation	NOUN
fbem-19724	9	16	t	t	PROPN
fbem-19724	9	17	,	,	PUNCT
fbem-19724	9	18	arbitrary	arbitrary	ADJ
fbem-19724	9	19	"	"	PUNCT
fbem-19724	9	20	box	box	NOUN
fbem-19724	9	21	"	"	PUNCT
fbem-19724	9	22	constraints	constraint	NOUN
fbem-19724	9	23	,	,	PUNCT
fbem-19724	9	24	and	and	CCONJ
fbem-19724	9	25	scenarios	scenario	NOUN
fbem-19724	9	26	involving	involve	VERB
fbem-19724	9	27	no	no	DET
fbem-19724	9	28	short	short	ADJ
fbem-19724	9	29	positions	position	NOUN
fbem-19724	9	30	or	or	CCONJ
fbem-19724	9	31	exclusion	exclusion	NOUN
fbem-19724	9	32	of	of	ADP
fbem-19724	9	33	broad	broad	ADJ
fbem-19724	9	34	indices.the	indices.the	DET
fbem-19724	9	35	finding	finding	NOUN
fbem-19724	9	36	shows	show	VERB
fbem-19724	9	37	that	that	SCONJ
fbem-19724	9	38	the	the	DET
fbem-19724	9	39	performance	performance	NOUN
fbem-19724	9	40	of	of	ADP
fbem-19724	9	41	the	the	DET
fbem-19724	9	42	assets	asset	NOUN
fbem-19724	9	43	chosen	choose	VERB
fbem-19724	9	44	by	by	ADP
fbem-19724	9	45	markowitz	markowitz	PROPN
fbem-19724	9	46	is	be	AUX
fbem-19724	9	47	better	well	ADJ
fbem-19724	9	48	than	than	ADP
fbem-19724	9	49	index	index	NOUN
fbem-19724	9	50	model	model	NOUN
fbem-19724	9	51	under	under	ADP
fbem-19724	9	52	the	the	DET
fbem-19724	9	53	given	give	VERB
fbem-19724	9	54	circumstances	circumstance	NOUN
fbem-19724	9	55	,	,	PUNCT
fbem-19724	9	56	which	which	PRON
fbem-19724	9	57	indicates	indicate	VERB
fbem-19724	9	58	the	the	DET
fbem-19724	9	59	more	more	ADV
fbem-19724	9	60	complex	complex	ADJ
fbem-19724	9	61	model	model	NOUN
fbem-19724	9	62	and	and	CCONJ
fbem-19724	9	63	addition	addition	NOUN
fbem-19724	9	64	data	datum	NOUN
fbem-19724	9	65	could	could	AUX
fbem-19724	9	66	probably	probably	ADV
fbem-19724	9	67	provide	provide	VERB
fbem-19724	9	68	a	a	DET
fbem-19724	9	69	better	well	ADJ
fbem-19724	9	70	result	result	NOUN
fbem-19724	9	71	.	.	PUNCT
fbem-19724	10	1	this	this	DET
fbem-19724	10	2	dissertation	dissertation	NOUN
fbem-19724	10	3	aims	aim	VERB
fbem-19724	10	4	to	to	PART
fbem-19724	10	5	contribute	contribute	VERB
fbem-19724	10	6	significantly	significantly	ADV
fbem-19724	10	7	to	to	ADP
fbem-19724	10	8	the	the	DET
fbem-19724	10	9	field	field	NOUN
fbem-19724	10	10	of	of	ADP
fbem-19724	10	11	finance	finance	NOUN
fbem-19724	10	12	by	by	ADP
fbem-19724	10	13	enhancing	enhance	VERB
fbem-19724	10	14	the	the	DET
fbem-19724	10	15	understanding	understanding	NOUN
fbem-19724	10	16	of	of	ADP
fbem-19724	10	17	portfolio	portfolio	NOUN
fbem-19724	10	18	management	management	NOUN
fbem-19724	10	19	strategies	strategy	NOUN
fbem-19724	10	20	,	,	PUNCT
fbem-19724	10	21	thus	thus	ADV
fbem-19724	10	22	aiding	aid	VERB
fbem-19724	10	23	in	in	ADP
fbem-19724	10	24	informed	informed	ADJ
fbem-19724	10	25	decision	decision	NOUN
fbem-19724	10	26	-	-	PUNCT
fbem-19724	10	27	making	making	NOUN
fbem-19724	10	28	in	in	ADP
fbem-19724	10	29	the	the	DET
fbem-19724	10	30	everevolving	everevolve	VERB
fbem-19724	10	31	financial	financial	ADJ
fbem-19724	10	32	landscape	landscape	NOUN
fbem-19724	10	33	.	.	PUNCT
fbem-19724	11	1	keywords	keyword	NOUN
fbem-19724	11	2	:	:	PUNCT
fbem-19724	11	3	markowitz	markowitz	PROPN
fbem-19724	11	4	model	model	PROPN
fbem-19724	11	5	,	,	PUNCT
fbem-19724	11	6	index	index	NOUN
fbem-19724	11	7	model	model	NOUN
fbem-19724	11	8	,	,	PUNCT
fbem-19724	11	9	portfolio	portfolio	NOUN
fbem-19724	11	10	optimization	optimization	NOUN
fbem-19724	11	11	.	.	PUNCT
fbem-19724	12	1	1	1	X
fbem-19724	12	2	.	.	X
fbem-19724	12	3	introduction	introduction	NOUN
fbem-19724	12	4	in	in	ADP
fbem-19724	12	5	the	the	DET
fbem-19724	12	6	dynamic	dynamic	ADJ
fbem-19724	12	7	realm	realm	NOUN
fbem-19724	12	8	of	of	ADP
fbem-19724	12	9	finance	finance	NOUN
fbem-19724	12	10	,	,	PUNCT
fbem-19724	12	11	the	the	DET
fbem-19724	12	12	pursuit	pursuit	NOUN
fbem-19724	12	13	of	of	ADP
fbem-19724	12	14	optimizing	optimize	VERB
fbem-19724	12	15	investment	investment	NOUN
fbem-19724	12	16	portfolios	portfolio	NOUN
fbem-19724	12	17	remains	remain	VERB
fbem-19724	12	18	a	a	DET
fbem-19724	12	19	cornerstone	cornerstone	NOUN
fbem-19724	12	20	of	of	ADP
fbem-19724	12	21	both	both	PRON
fbem-19724	12	22	academic	academic	ADJ
fbem-19724	12	23	study	study	NOUN
fbem-19724	12	24	and	and	CCONJ
fbem-19724	12	25	practical	practical	ADJ
fbem-19724	12	26	application	application	NOUN
fbem-19724	12	27	.	.	PUNCT
fbem-19724	13	1	this	this	DET
fbem-19724	13	2	paper	paper	NOUN
fbem-19724	13	3	mainly	mainly	ADV
fbem-19724	13	4	analyzes	analyze	VERB
fbem-19724	13	5	the	the	DET
fbem-19724	13	6	investment	investment	NOUN
fbem-19724	13	7	strategy	strategy	NOUN
fbem-19724	13	8	,	,	PUNCT
fbem-19724	13	9	especially	especially	ADV
fbem-19724	13	10	the	the	DET
fbem-19724	13	11	optimization	optimization	NOUN
fbem-19724	13	12	of	of	ADP
fbem-19724	13	13	the	the	DET
fbem-19724	13	14	investment	investment	NOUN
fbem-19724	13	15	portfolio	portfolio	NOUN
fbem-19724	13	16	.	.	PUNCT
fbem-19724	14	1	the	the	DET
fbem-19724	14	2	aim	aim	NOUN
fbem-19724	14	3	of	of	ADP
fbem-19724	14	4	the	the	DET
fbem-19724	14	5	study	study	NOUN
fbem-19724	14	6	is	be	AUX
fbem-19724	14	7	to	to	PART
fbem-19724	14	8	combine	combine	VERB
fbem-19724	14	9	theoretical	theoretical	ADJ
fbem-19724	14	10	knowledge	knowledge	NOUN
fbem-19724	14	11	with	with	ADP
fbem-19724	14	12	practical	practical	ADJ
fbem-19724	14	13	cases	case	NOUN
fbem-19724	14	14	to	to	PART
fbem-19724	14	15	gain	gain	VERB
fbem-19724	14	16	insight	insight	NOUN
fbem-19724	14	17	into	into	ADP
fbem-19724	14	18	the	the	DET
fbem-19724	14	19	complex	complex	ADJ
fbem-19724	14	20	factors	factor	NOUN
fbem-19724	14	21	that	that	PRON
fbem-19724	14	22	control	control	VERB
fbem-19724	14	23	financial	financial	ADJ
fbem-19724	14	24	markets	market	NOUN
fbem-19724	14	25	.	.	PUNCT
fbem-19724	15	1	the	the	DET
fbem-19724	15	2	core	core	NOUN
fbem-19724	15	3	of	of	ADP
fbem-19724	15	4	the	the	DET
fbem-19724	15	5	article	article	NOUN
fbem-19724	15	6	focuses	focus	VERB
fbem-19724	15	7	on	on	ADP
fbem-19724	15	8	two	two	NUM
fbem-19724	15	9	important	important	ADJ
fbem-19724	15	10	investment	investment	NOUN
fbem-19724	15	11	models	model	NOUN
fbem-19724	15	12	:	:	PUNCT
fbem-19724	15	13	the	the	DET
fbem-19724	15	14	markowitz	markowitz	PROPN
fbem-19724	15	15	model	model	PROPN
fbem-19724	15	16	and	and	CCONJ
fbem-19724	15	17	the	the	DET
fbem-19724	15	18	index	index	NOUN
fbem-19724	15	19	model	model	NOUN
fbem-19724	15	20	.	.	PUNCT
fbem-19724	16	1	these	these	DET
fbem-19724	16	2	two	two	NUM
fbem-19724	16	3	models	model	NOUN
fbem-19724	16	4	,	,	PUNCT
fbem-19724	16	5	which	which	PRON
fbem-19724	16	6	form	form	VERB
fbem-19724	16	7	the	the	DET
fbem-19724	16	8	basis	basis	NOUN
fbem-19724	16	9	of	of	ADP
fbem-19724	16	10	portfolio	portfolio	NOUN
fbem-19724	16	11	optimization	optimization	NOUN
fbem-19724	16	12	theory	theory	NOUN
fbem-19724	16	13	,	,	PUNCT
fbem-19724	16	14	have	have	AUX
fbem-19724	16	15	been	be	AUX
fbem-19724	16	16	studied	study	VERB
fbem-19724	16	17	in	in	ADP
fbem-19724	16	18	depth	depth	NOUN
fbem-19724	16	19	under	under	ADP
fbem-19724	16	20	different	different	ADJ
fbem-19724	16	21	constraints	constraint	NOUN
fbem-19724	16	22	,	,	PUNCT
fbem-19724	16	23	such	such	ADJ
fbem-19724	16	24	as	as	ADP
fbem-19724	16	25	t	t	NOUN
fbem-19724	16	26	-	-	PUNCT
fbem-19724	16	27	rule	rule	NOUN
fbem-19724	16	28	constraints	constraint	NOUN
fbem-19724	16	29	,	,	PUNCT
fbem-19724	16	30	various	various	ADJ
fbem-19724	16	31	"	"	PUNCT
fbem-19724	16	32	box	box	NOUN
fbem-19724	16	33	"	"	PUNCT
fbem-19724	16	34	constraints	constraint	NOUN
fbem-19724	16	35	,	,	PUNCT
fbem-19724	16	36	unlimited	unlimited	ADJ
fbem-19724	16	37	cases	case	NOUN
fbem-19724	16	38	,	,	PUNCT
fbem-19724	16	39	no	no	DET
fbem-19724	16	40	shorting	shorting	NOUN
fbem-19724	16	41	,	,	PUNCT
fbem-19724	16	42	and	and	CCONJ
fbem-19724	16	43	exclusion	exclusion	NOUN
fbem-19724	16	44	of	of	ADP
fbem-19724	16	45	broad	broad	ADJ
fbem-19724	16	46	base	base	NOUN
fbem-19724	16	47	indices	index	NOUN
fbem-19724	16	48	,	,	PUNCT
fbem-19724	16	49	in	in	ADP
fbem-19724	16	50	order	order	NOUN
fbem-19724	16	51	to	to	PART
fbem-19724	16	52	better	well	ADV
fbem-19724	16	53	understand	understand	VERB
fbem-19724	16	54	their	their	PRON
fbem-19724	16	55	applicability	applicability	NOUN
fbem-19724	16	56	and	and	CCONJ
fbem-19724	16	57	performance	performance	NOUN
fbem-19724	16	58	in	in	ADP
fbem-19724	16	59	various	various	ADJ
fbem-19724	16	60	financial	financial	ADJ
fbem-19724	16	61	environments	environment	NOUN
fbem-19724	16	62	.	.	PUNCT
fbem-19724	17	1	the	the	DET
fbem-19724	17	2	aim	aim	NOUN
fbem-19724	17	3	of	of	ADP
fbem-19724	17	4	the	the	DET
fbem-19724	17	5	study	study	NOUN
fbem-19724	17	6	was	be	AUX
fbem-19724	17	7	not	not	PART
fbem-19724	17	8	only	only	ADV
fbem-19724	17	9	to	to	PART
fbem-19724	17	10	demonstrate	demonstrate	VERB
fbem-19724	17	11	these	these	DET
fbem-19724	17	12	models	model	NOUN
fbem-19724	17	13	in	in	ADP
fbem-19724	17	14	action	action	NOUN
fbem-19724	17	15	,	,	PUNCT
fbem-19724	17	16	but	but	CCONJ
fbem-19724	17	17	also	also	ADV
fbem-19724	17	18	to	to	PART
fbem-19724	17	19	compare	compare	VERB
fbem-19724	17	20	their	their	PRON
fbem-19724	17	21	effectiveness	effectiveness	NOUN
fbem-19724	17	22	under	under	ADP
fbem-19724	17	23	different	different	ADJ
fbem-19724	17	24	regulatory	regulatory	ADJ
fbem-19724	17	25	and	and	CCONJ
fbem-19724	17	26	operating	operating	NOUN
fbem-19724	17	27	conditions	condition	NOUN
fbem-19724	17	28	.	.	PUNCT
fbem-19724	18	1	in	in	ADP
fbem-19724	18	2	a	a	DET
fbem-19724	18	3	constantly	constantly	ADV
fbem-19724	18	4	changing	change	VERB
fbem-19724	18	5	and	and	CCONJ
fbem-19724	18	6	challenging	challenging	ADJ
fbem-19724	18	7	financial	financial	ADJ
fbem-19724	18	8	market	market	NOUN
fbem-19724	18	9	,	,	PUNCT
fbem-19724	18	10	such	such	ADJ
fbem-19724	18	11	research	research	NOUN
fbem-19724	18	12	is	be	AUX
fbem-19724	18	13	very	very	ADV
fbem-19724	18	14	important	important	ADJ
fbem-19724	18	15	and	and	CCONJ
fbem-19724	18	16	can	can	AUX
fbem-19724	18	17	provide	provide	VERB
fbem-19724	18	18	certain	certain	ADJ
fbem-19724	18	19	decision	decision	NOUN
fbem-19724	18	20	support	support	NOUN
fbem-19724	18	21	for	for	ADP
fbem-19724	18	22	financial	financial	ADJ
fbem-19724	18	23	practitioners	practitioner	NOUN
fbem-19724	18	24	and	and	CCONJ
fbem-19724	18	25	analysts	analyst	NOUN
fbem-19724	18	26	.	.	PUNCT
fbem-19724	19	1	2	2	X
fbem-19724	19	2	.	.	X
fbem-19724	19	3	literature	literature	NOUN
fbem-19724	19	4	review	review	VERB
fbem-19724	19	5	the	the	DET
fbem-19724	19	6	literature	literature	NOUN
fbem-19724	19	7	review	review	NOUN
fbem-19724	19	8	provides	provide	VERB
fbem-19724	19	9	different	different	ADJ
fbem-19724	19	10	research	research	NOUN
fbem-19724	19	11	on	on	ADP
fbem-19724	19	12	portfolio	portfolio	NOUN
fbem-19724	19	13	construction	construction	NOUN
fbem-19724	19	14	and	and	CCONJ
fbem-19724	19	15	optimization	optimization	NOUN
fbem-19724	19	16	.	.	PUNCT
fbem-19724	20	1	which	which	PRON
fbem-19724	20	2	includes	include	VERB
fbem-19724	20	3	traditional	traditional	ADJ
fbem-19724	20	4	basic	basic	ADJ
fbem-19724	20	5	models	model	NOUN
fbem-19724	20	6	in	in	ADP
fbem-19724	20	7	portfolio	portfolio	NOUN
fbem-19724	20	8	management	management	NOUN
fbem-19724	20	9	,	,	PUNCT
fbem-19724	20	10	advanced	advanced	ADJ
fbem-19724	20	11	statistical	statistical	ADJ
fbem-19724	20	12	models	model	NOUN
fbem-19724	20	13	,	,	PUNCT
fbem-19724	20	14	and	and	CCONJ
fbem-19724	20	15	modern	modern	ADJ
fbem-19724	20	16	machine	machine	NOUN
fbem-19724	20	17	learning	learn	VERB
fbem-19724	20	18	techniques	technique	NOUN
fbem-19724	20	19	.	.	PUNCT
fbem-19724	21	1	gültekin	gültekin	NOUN
fbem-19724	21	2	,	,	PUNCT
fbem-19724	21	3	shohfi	shohfi	NOUN
fbem-19724	21	4	,	,	PUNCT
fbem-19724	21	5	and	and	CCONJ
fbem-19724	21	6	guerard	guerard	NOUN
fbem-19724	21	7	provide	provide	VERB
fbem-19724	21	8	an	an	DET
fbem-19724	21	9	extensive	extensive	ADJ
fbem-19724	21	10	analysis	analysis	NOUN
fbem-19724	21	11	of	of	ADP
fbem-19724	21	12	efficient	efficient	ADJ
fbem-19724	21	13	portfolio	portfolio	NOUN
fbem-19724	21	14	construction	construction	NOUN
fbem-19724	21	15	during	during	ADP
fbem-19724	21	16	the	the	DET
fbem-19724	21	17	time	time	NOUN
fbem-19724	21	18	period	period	NOUN
fbem-19724	21	19	from	from	ADP
fbem-19724	21	20	1999	1999	NUM
fbem-19724	21	21	to	to	ADP
fbem-19724	21	22	2017	2017	NUM
fbem-19724	21	23	.	.	PUNCT
fbem-19724	22	1	they	they	PRON
fbem-19724	22	2	dug	dig	VERB
fbem-19724	22	3	particularly	particularly	ADV
fbem-19724	22	4	into	into	ADP
fbem-19724	22	5	the	the	DET
fbem-19724	22	6	3factor	3factor	NUM
fbem-19724	22	7	risk	risk	NOUN
fbem-19724	22	8	model	model	NOUN
fbem-19724	22	9	and	and	CCONJ
fbem-19724	22	10	stressed	stress	VERB
fbem-19724	22	11	out	out	ADP
fbem-19724	22	12	the	the	DET
fbem-19724	22	13	superiority	superiority	NOUN
fbem-19724	22	14	of	of	ADP
fbem-19724	22	15	statistical	statistical	ADJ
fbem-19724	22	16	models	model	NOUN
fbem-19724	22	17	.	.	PUNCT
fbem-19724	23	1	the	the	DET
fbem-19724	23	2	multi	multi	ADJ
fbem-19724	23	3	-	-	ADJ
fbem-19724	23	4	factor	factor	NOUN
fbem-19724	23	5	model	model	NOUN
fbem-19724	23	6	is	be	AUX
fbem-19724	23	7	better	well	ADJ
fbem-19724	23	8	than	than	ADP
fbem-19724	23	9	the	the	DET
fbem-19724	23	10	fundamental	fundamental	ADJ
fbem-19724	23	11	models	model	NOUN
fbem-19724	23	12	in	in	ADP
fbem-19724	23	13	generating	generate	VERB
fbem-19724	23	14	significant	significant	ADJ
fbem-19724	23	15	excess	excess	ADJ
fbem-19724	23	16	returns	return	NOUN
fbem-19724	23	17	and	and	CCONJ
fbem-19724	23	18	improving	improve	VERB
fbem-19724	23	19	sharpe	sharpe	NOUN
fbem-19724	23	20	ratios	ratio	NOUN
fbem-19724	23	21	.	.	PUNCT
fbem-19724	24	1	it	it	PRON
fbem-19724	24	2	also	also	ADV
fbem-19724	24	3	underscores	underscore	VERB
fbem-19724	24	4	the	the	DET
fbem-19724	24	5	advantages	advantage	NOUN
fbem-19724	24	6	of	of	ADP
fbem-19724	24	7	markowitz	markowitz	PROPN
fbem-19724	24	8	portfolio	portfolio	PROPN
fbem-19724	24	9	construction	construction	NOUN
fbem-19724	24	10	and	and	CCONJ
fbem-19724	24	11	illustrates	illustrate	VERB
fbem-19724	24	12	its	its	PRON
fbem-19724	24	13	limitations	limitation	NOUN
fbem-19724	24	14	like	like	ADP
fbem-19724	24	15	complicated	complicated	ADJ
fbem-19724	24	16	data	datum	NOUN
fbem-19724	24	17	and	and	CCONJ
fbem-19724	24	18	laborious	laborious	ADJ
fbem-19724	24	19	computing	computing	NOUN
fbem-19724	24	20	process	process	NOUN
fbem-19724	24	21	.	.	PUNCT
fbem-19724	25	1	this	this	DET
fbem-19724	25	2	research	research	NOUN
fbem-19724	25	3	claims	claim	VERB
fbem-19724	25	4	that	that	SCONJ
fbem-19724	25	5	some	some	DET
fbem-19724	25	6	academic	academic	ADJ
fbem-19724	25	7	models	model	NOUN
fbem-19724	25	8	are	be	AUX
fbem-19724	25	9	somehow	somehow	ADV
fbem-19724	25	10	impractical	impractical	ADJ
fbem-19724	25	11	in	in	ADP
fbem-19724	25	12	real	real	ADJ
fbem-19724	25	13	-	-	PUNCT
fbem-19724	25	14	world	world	NOUN
fbem-19724	25	15	settings	setting	NOUN
fbem-19724	25	16	and	and	CCONJ
fbem-19724	25	17	the	the	DET
fbem-19724	25	18	emergence	emergence	NOUN
fbem-19724	25	19	of	of	ADP
fbem-19724	25	20	robo	robo	NOUN
fbem-19724	25	21	-	-	PUNCT
fbem-19724	25	22	advisors	advisor	NOUN
fbem-19724	25	23	pushes	push	VERB
fbem-19724	25	24	forward	forward	ADV
fbem-19724	25	25	the	the	DET
fbem-19724	25	26	advancement	advancement	NOUN
fbem-19724	25	27	of	of	ADP
fbem-19724	25	28	traditional	traditional	ADJ
fbem-19724	25	29	optimization	optimization	NOUN
fbem-19724	25	30	approaches	approach	NOUN
fbem-19724	25	31	[	[	X
fbem-19724	25	32	1	1	NUM
fbem-19724	25	33	]	]	PUNCT
fbem-19724	25	34	.	.	PUNCT
fbem-19724	26	1	zhang	zhang	PROPN
fbem-19724	26	2	had	have	VERB
fbem-19724	26	3	his	his	PRON
fbem-19724	26	4	research	research	NOUN
fbem-19724	26	5	on	on	ADP
fbem-19724	26	6	a	a	DET
fbem-19724	26	7	deep	deep	ADJ
fbem-19724	26	8	learning	learning	NOUN
fbem-19724	26	9	algorithm	algorithm	NOUN
fbem-19724	26	10	called	call	VERB
fbem-19724	26	11	autoencoder	autoencoder	NOUN
fbem-19724	26	12	.	.	PUNCT
fbem-19724	27	1	the	the	DET
fbem-19724	27	2	edge	edge	NOUN
fbem-19724	27	3	of	of	ADP
fbem-19724	27	4	his	his	PRON
fbem-19724	27	5	finding	finding	NOUN
fbem-19724	27	6	is	be	AUX
fbem-19724	27	7	in	in	ADP
fbem-19724	27	8	tracking	track	VERB
fbem-19724	27	9	stock	stock	NOUN
fbem-19724	27	10	indexes	index	NOUN
fbem-19724	27	11	,	,	PUNCT
fbem-19724	27	12	especially	especially	ADV
fbem-19724	27	13	the	the	DET
fbem-19724	27	14	csi	csi	PROPN
fbem-19724	27	15	300	300	NUM
fbem-19724	27	16	index	index	NOUN
fbem-19724	27	17	.	.	PUNCT
fbem-19724	28	1	the	the	DET
fbem-19724	28	2	autoencoder	autoencoder	NOUN
fbem-19724	28	3	is	be	AUX
fbem-19724	28	4	very	very	ADV
fbem-19724	28	5	effective	effective	ADJ
fbem-19724	28	6	at	at	ADP
fbem-19724	28	7	figuring	figure	VERB
fbem-19724	28	8	out	out	ADP
fbem-19724	28	9	the	the	DET
fbem-19724	28	10	complex	complex	ADJ
fbem-19724	28	11	relationships	relationship	NOUN
fbem-19724	28	12	between	between	ADP
fbem-19724	28	13	the	the	DET
fbem-19724	28	14	index	index	NOUN
fbem-19724	28	15	components	component	NOUN
fbem-19724	28	16	.	.	PUNCT
fbem-19724	29	1	it	it	PRON
fbem-19724	29	2	could	could	AUX
fbem-19724	29	3	use	use	VERB
fbem-19724	29	4	that	that	DET
fbem-19724	29	5	information	information	NOUN
fbem-19724	29	6	to	to	PART
fbem-19724	29	7	build	build	VERB
fbem-19724	29	8	an	an	DET
fbem-19724	29	9	ever	ever	ADV
fbem-19724	29	10	-	-	PUNCT
fbem-19724	29	11	changing	change	VERB
fbem-19724	29	12	tracking	tracking	NOUN
fbem-19724	29	13	portfolio	portfolio	NOUN
fbem-19724	29	14	.	.	PUNCT
fbem-19724	30	1	this	this	DET
fbem-19724	30	2	new	new	ADJ
fbem-19724	30	3	approach	approach	NOUN
fbem-19724	30	4	performs	perform	VERB
fbem-19724	30	5	better	well	ADJ
fbem-19724	30	6	than	than	ADP
fbem-19724	30	7	the	the	DET
fbem-19724	30	8	traditional	traditional	ADJ
fbem-19724	30	9	approach	approach	NOUN
fbem-19724	30	10	in	in	ADP
fbem-19724	30	11	some	some	DET
fbem-19724	30	12	aspects	aspect	NOUN
fbem-19724	30	13	,	,	PUNCT
fbem-19724	30	14	especially	especially	ADV
fbem-19724	30	15	for	for	ADP
fbem-19724	30	16	the	the	DET
fbem-19724	30	17	small	small	ADJ
fbem-19724	30	18	portfolio	portfolio	NOUN
fbem-19724	30	19	in	in	ADP
fbem-19724	30	20	stocks	stock	NOUN
fbem-19724	30	21	,	,	PUNCT
fbem-19724	30	22	because	because	SCONJ
fbem-19724	30	23	it	it	PRON
fbem-19724	30	24	can	can	AUX
fbem-19724	30	25	efficiently	efficiently	ADV
fbem-19724	30	26	encode	encode	VERB
fbem-19724	30	27	large	large	ADJ
fbem-19724	30	28	amounts	amount	NOUN
fbem-19724	30	29	of	of	ADP
fbem-19724	30	30	information	information	NOUN
fbem-19724	30	31	for	for	ADP
fbem-19724	30	32	better	well	ADJ
fbem-19724	30	33	tracking	tracking	NOUN
fbem-19724	30	34	.	.	PUNCT
fbem-19724	31	1	the	the	DET
fbem-19724	31	2	article	article	NOUN
fbem-19724	31	3	also	also	ADV
fbem-19724	31	4	highlights	highlight	VERB
fbem-19724	31	5	that	that	SCONJ
fbem-19724	31	6	these	these	DET
fbem-19724	31	7	algorithms	algorithm	NOUN
fbem-19724	31	8	have	have	VERB
fbem-19724	31	9	unparalleled	unparalleled	ADJ
fbem-19724	31	10	superiority	superiority	NOUN
fbem-19724	31	11	in	in	ADP
fbem-19724	31	12	identifying	identify	VERB
fbem-19724	31	13	underlying	underlie	VERB
fbem-19724	31	14	assets	asset	NOUN
fbem-19724	31	15	and	and	CCONJ
fbem-19724	31	16	help	help	VERB
fbem-19724	31	17	people	people	NOUN
fbem-19724	31	18	make	make	VERB
fbem-19724	31	19	timely	timely	ADJ
fbem-19724	31	20	investment	investment	NOUN
fbem-19724	31	21	decisions	decision	NOUN
fbem-19724	31	22	.	.	PUNCT
fbem-19724	32	1	as	as	SCONJ
fbem-19724	32	2	the	the	DET
fbem-19724	32	3	technology	technology	NOUN
fbem-19724	32	4	in	in	ADP
fbem-19724	32	5	ai	ai	ADJ
fbem-19724	32	6	areas	area	NOUN
fbem-19724	32	7	gets	get	VERB
fbem-19724	32	8	more	more	ADV
fbem-19724	32	9	mature	mature	ADJ
fbem-19724	32	10	,	,	PUNCT
fbem-19724	32	11	deep	deep	ADJ
fbem-19724	32	12	learning	learning	NOUN
fbem-19724	32	13	algorithms	algorithm	NOUN
fbem-19724	32	14	have	have	AUX
fbem-19724	32	15	become	become	AUX
fbem-19724	32	16	increasingly	increasingly	ADV
fbem-19724	32	17	widely	widely	ADV
fbem-19724	32	18	used	use	VERB
fbem-19724	32	19	in	in	ADP
fbem-19724	32	20	the	the	DET
fbem-19724	32	21	financial	financial	ADJ
fbem-19724	32	22	sectors	sector	NOUN
fbem-19724	32	23	.	.	PUNCT
fbem-19724	33	1	which	which	PRON
fbem-19724	33	2	could	could	AUX
fbem-19724	33	3	benefit	benefit	VERB
fbem-19724	33	4	regions	region	NOUN
fbem-19724	33	5	including	include	VERB
fbem-19724	33	6	index	index	NOUN
fbem-19724	33	7	tracking	tracking	NOUN
fbem-19724	33	8	for	for	ADP
fbem-19724	33	9	complex	complex	ADJ
fbem-19724	33	10	systems	system	NOUN
fbem-19724	33	11	such	such	ADJ
fbem-19724	33	12	as	as	ADP
fbem-19724	33	13	stock	stock	NOUN
fbem-19724	33	14	markets	market	NOUN
fbem-19724	33	15	[	[	X
fbem-19724	33	16	2	2	NUM
fbem-19724	33	17	]	]	PUNCT
fbem-19724	33	18	.	.	PUNCT
fbem-19724	34	1	dimitriu	dimitriu	PROPN
fbem-19724	34	2	discusses	discuss	VERB
fbem-19724	34	3	the	the	DET
fbem-19724	34	4	application	application	NOUN
fbem-19724	34	5	of	of	ADP
fbem-19724	34	6	the	the	DET
fbem-19724	34	7	efficient	efficient	ADJ
fbem-19724	34	8	market	market	NOUN
fbem-19724	34	9	hypothesis	hypothesis	NOUN
fbem-19724	34	10	in	in	ADP
fbem-19724	34	11	the	the	DET
fbem-19724	34	12	context	context	NOUN
fbem-19724	34	13	of	of	ADP
fbem-19724	34	14	portfolio	portfolio	NOUN
fbem-19724	34	15	construction	construction	NOUN
fbem-19724	34	16	during	during	ADP
fbem-19724	34	17	the	the	DET
fbem-19724	34	18	period	period	NOUN
fbem-19724	34	19	from	from	ADP
fbem-19724	34	20	2007	2007	NUM
fbem-19724	34	21	to	to	ADP
fbem-19724	34	22	2012	2012	NUM
fbem-19724	34	23	,	,	PUNCT
fbem-19724	34	24	particularly	particularly	ADV
fbem-19724	34	25	focusing	focus	VERB
fbem-19724	34	26	on	on	ADP
fbem-19724	34	27	the	the	DET
fbem-19724	34	28	impact	impact	NOUN
fbem-19724	34	29	of	of	ADP
fbem-19724	34	30	the	the	DET
fbem-19724	34	31	economic	economic	ADJ
fbem-19724	34	32	crisis	crisis	NOUN
fbem-19724	34	33	.	.	PUNCT
fbem-19724	35	1	it	it	PRON
fbem-19724	35	2	explores	explore	VERB
fbem-19724	35	3	the	the	DET
fbem-19724	35	4	selection	selection	NOUN
fbem-19724	35	5	of	of	ADP
fbem-19724	35	6	optimal	optimal	ADJ
fbem-19724	35	7	portfolios	portfolio	NOUN
fbem-19724	35	8	based	base	VERB
fbem-19724	35	9	on	on	ADP
fbem-19724	35	10	risk	risk	NOUN
fbem-19724	35	11	and	and	CCONJ
fbem-19724	35	12	return	return	VERB
fbem-19724	35	13	considerations	consideration	NOUN
fbem-19724	35	14	,	,	PUNCT
fbem-19724	35	15	taking	take	VERB
fbem-19724	35	16	into	into	ADP
fbem-19724	35	17	account	account	NOUN
fbem-19724	35	18	various	various	ADJ
fbem-19724	35	19	companies	company	NOUN
fbem-19724	35	20	from	from	ADP
fbem-19724	35	21	different	different	ADJ
fbem-19724	35	22	sectors	sector	NOUN
fbem-19724	35	23	.	.	PUNCT
fbem-19724	36	1	the	the	DET
fbem-19724	36	2	analysis	analysis	NOUN
fbem-19724	36	3	reveals	reveal	VERB
fbem-19724	36	4	that	that	SCONJ
fbem-19724	36	5	certain	certain	ADJ
fbem-19724	36	6	portfolios	portfolio	NOUN
fbem-19724	36	7	offer	offer	VERB
fbem-19724	36	8	higher	high	ADJ
fbem-19724	36	9	returns	return	NOUN
fbem-19724	36	10	at	at	ADP
fbem-19724	36	11	the	the	DET
fbem-19724	36	12	cost	cost	NOUN
fbem-19724	36	13	of	of	ADP
fbem-19724	36	14	increased	increase	VERB
fbem-19724	36	15	risk	risk	NOUN
fbem-19724	36	16	,	,	PUNCT
fbem-19724	36	17	while	while	SCONJ
fbem-19724	36	18	others	other	NOUN
fbem-19724	36	19	prioritize	prioritize	VERB
fbem-19724	36	20	risk	risk	NOUN
fbem-19724	36	21	mitigation	mitigation	NOUN
fbem-19724	36	22	.	.	PUNCT
fbem-19724	37	1	notably	notably	ADV
fbem-19724	37	2	,	,	PUNCT
fbem-19724	37	3	the	the	DET
fbem-19724	37	4	study	study	NOUN
fbem-19724	37	5	identifies	identify	VERB
fbem-19724	37	6	the	the	DET
fbem-19724	37	7	prominent	prominent	ADJ
fbem-19724	37	8	role	role	NOUN
fbem-19724	37	9	of	of	ADP
fbem-19724	37	10	bat	bat	NOUN
fbem-19724	37	11	bascov	bascov	PROPN
fbem-19724	37	12	s.a	s.a	PROPN
fbem-19724	37	13	.	.	PROPN
fbem-19724	37	14	in	in	ADP
fbem-19724	37	15	efficient	efficient	ADJ
fbem-19724	37	16	portfolios	portfolio	NOUN
fbem-19724	37	17	and	and	CCONJ
fbem-19724	37	18	observes	observe	VERB
fbem-19724	37	19	that	that	DET
fbem-19724	37	20	risk	risk	NOUN
fbem-19724	37	21	190	190	NUM
fbem-19724	37	22	tends	tend	VERB
fbem-19724	37	23	to	to	PART
fbem-19724	37	24	decrease	decrease	VERB
fbem-19724	37	25	with	with	ADP
fbem-19724	37	26	a	a	DET
fbem-19724	37	27	higher	high	ADJ
fbem-19724	37	28	number	number	NOUN
fbem-19724	37	29	of	of	ADP
fbem-19724	37	30	assets	asset	NOUN
fbem-19724	37	31	[	[	X
fbem-19724	37	32	3	3	NUM
fbem-19724	37	33	]	]	PUNCT
fbem-19724	37	34	.	.	PUNCT
fbem-19724	38	1	on	on	ADP
fbem-19724	38	2	the	the	DET
fbem-19724	38	3	other	other	ADJ
fbem-19724	38	4	hand	hand	NOUN
fbem-19724	38	5	,	,	PUNCT
fbem-19724	38	6	beste	beste	NOUN
fbem-19724	38	7	focuses	focus	VERB
fbem-19724	38	8	on	on	ADP
fbem-19724	38	9	the	the	DET
fbem-19724	38	10	portfolio	portfolio	NOUN
fbem-19724	38	11	optimization	optimization	NOUN
fbem-19724	38	12	model	model	NOUN
fbem-19724	38	13	proposed	propose	VERB
fbem-19724	38	14	by	by	ADP
fbem-19724	38	15	markowitz	markowitz	PROPN
fbem-19724	38	16	in	in	ADP
fbem-19724	38	17	1952.this	1952.this	NUM
fbem-19724	38	18	model	model	NOUN
fbem-19724	38	19	is	be	AUX
fbem-19724	38	20	based	base	VERB
fbem-19724	38	21	on	on	ADP
fbem-19724	38	22	the	the	DET
fbem-19724	38	23	mean	mean	ADJ
fbem-19724	38	24	variance	variance	NOUN
fbem-19724	38	25	analysis	analysis	NOUN
fbem-19724	38	26	,	,	PUNCT
fbem-19724	38	27	assuming	assume	VERB
fbem-19724	38	28	that	that	SCONJ
fbem-19724	38	29	investors	investor	NOUN
fbem-19724	38	30	tend	tend	VERB
fbem-19724	38	31	to	to	PART
fbem-19724	38	32	choose	choose	VERB
fbem-19724	38	33	there	there	PRON
fbem-19724	38	34	are	be	VERB
fbem-19724	38	35	both	both	PRON
fbem-19724	38	36	high	high	ADJ
fbem-19724	38	37	return	return	NOUN
fbem-19724	38	38	and	and	CCONJ
fbem-19724	38	39	low	low	ADJ
fbem-19724	38	40	risk	risk	NOUN
fbem-19724	38	41	investment	investment	NOUN
fbem-19724	38	42	portfolio	portfolio	NOUN
fbem-19724	38	43	.	.	PUNCT
fbem-19724	39	1	in	in	ADP
fbem-19724	39	2	markowitz	markowitz	PROPN
fbem-19724	39	3	's	's	PART
fbem-19724	39	4	theoretical	theoretical	ADJ
fbem-19724	39	5	framework	framework	NOUN
fbem-19724	39	6	,	,	PUNCT
fbem-19724	39	7	each	each	DET
fbem-19724	39	8	portfolio	portfolio	NOUN
fbem-19724	39	9	can	can	AUX
fbem-19724	39	10	be	be	AUX
fbem-19724	39	11	represented	represent	VERB
fbem-19724	39	12	as	as	ADP
fbem-19724	39	13	a	a	DET
fbem-19724	39	14	point	point	NOUN
fbem-19724	39	15	on	on	ADP
fbem-19724	39	16	the	the	DET
fbem-19724	39	17	plane	plane	NOUN
fbem-19724	39	18	of	of	ADP
fbem-19724	39	19	risk	risk	NOUN
fbem-19724	39	20	and	and	CCONJ
fbem-19724	39	21	return	return	VERB
fbem-19724	39	22	and	and	CCONJ
fbem-19724	39	23	form	form	VERB
fbem-19724	39	24	a	a	DET
fbem-19724	39	25	special	special	ADJ
fbem-19724	39	26	curve	curve	NOUN
fbem-19724	39	27	(	(	PUNCT
fbem-19724	39	28	hyperbola	hyperbola	PROPN
fbem-19724	39	29	)	)	PUNCT
fbem-19724	39	30	.	.	PUNCT
fbem-19724	40	1	this	this	DET
fbem-19724	40	2	model	model	NOUN
fbem-19724	40	3	uses	use	VERB
fbem-19724	40	4	equal	equal	ADJ
fbem-19724	40	5	mean	mean	ADJ
fbem-19724	40	6	and	and	CCONJ
fbem-19724	40	7	equal	equal	ADJ
fbem-19724	40	8	variance	variance	NOUN
fbem-19724	40	9	curves	curve	NOUN
fbem-19724	40	10	to	to	PART
fbem-19724	40	11	find	find	VERB
fbem-19724	40	12	the	the	DET
fbem-19724	40	13	optimal	optimal	ADJ
fbem-19724	40	14	portfolio	portfolio	NOUN
fbem-19724	40	15	.	.	PUNCT
fbem-19724	41	1	however	however	ADV
fbem-19724	41	2	,	,	PUNCT
fbem-19724	41	3	applying	apply	VERB
fbem-19724	41	4	this	this	DET
fbem-19724	41	5	method	method	NOUN
fbem-19724	41	6	to	to	ADP
fbem-19724	41	7	more	more	ADJ
fbem-19724	41	8	than	than	ADP
fbem-19724	41	9	three	three	NUM
fbem-19724	41	10	types	type	NOUN
fbem-19724	41	11	of	of	ADP
fbem-19724	41	12	securities	security	NOUN
fbem-19724	41	13	are	be	AUX
fbem-19724	41	14	challenging	challenge	VERB
fbem-19724	41	15	due	due	ADJ
fbem-19724	41	16	to	to	ADP
fbem-19724	41	17	geometric	geometric	ADJ
fbem-19724	41	18	complexity	complexity	NOUN
fbem-19724	41	19	.	.	PUNCT
fbem-19724	42	1	beste	beste	PROPN
fbem-19724	42	2	also	also	ADV
fbem-19724	42	3	explores	explore	VERB
fbem-19724	42	4	how	how	SCONJ
fbem-19724	42	5	adding	add	VERB
fbem-19724	42	6	new	new	ADJ
fbem-19724	42	7	securities	security	NOUN
fbem-19724	42	8	to	to	ADP
fbem-19724	42	9	the	the	DET
fbem-19724	42	10	portfolio	portfolio	NOUN
fbem-19724	42	11	improves	improve	VERB
fbem-19724	42	12	the	the	DET
fbem-19724	42	13	hyperbola	hyperbola	PROPN
fbem-19724	42	14	,	,	PUNCT
fbem-19724	42	15	questioning	question	VERB
fbem-19724	42	16	the	the	DET
fbem-19724	42	17	usual	usual	ADJ
fbem-19724	42	18	practice	practice	NOUN
fbem-19724	42	19	of	of	ADP
fbem-19724	42	20	choosing	choose	VERB
fbem-19724	42	21	only	only	ADV
fbem-19724	42	22	those	those	PRON
fbem-19724	42	23	with	with	ADP
fbem-19724	42	24	high	high	ADJ
fbem-19724	42	25	expected	expect	VERB
fbem-19724	42	26	returns	return	NOUN
fbem-19724	42	27	and	and	CCONJ
fbem-19724	42	28	low	low	ADJ
fbem-19724	42	29	risk	risk	NOUN
fbem-19724	42	30	[	[	X
fbem-19724	42	31	4	4	NUM
fbem-19724	42	32	]	]	PUNCT
fbem-19724	42	33	.	.	PUNCT
fbem-19724	43	1	pandey	pandey	PROPN
fbem-19724	43	2	presents	present	VERB
fbem-19724	43	3	an	an	DET
fbem-19724	43	4	analysis	analysis	NOUN
fbem-19724	43	5	of	of	ADP
fbem-19724	43	6	optimal	optimal	ADJ
fbem-19724	43	7	portfolio	portfolio	NOUN
fbem-19724	43	8	formation	formation	NOUN
fbem-19724	43	9	using	use	VERB
fbem-19724	43	10	real	real	ADJ
fbem-19724	43	11	-	-	PUNCT
fbem-19724	43	12	world	world	NOUN
fbem-19724	43	13	data	datum	NOUN
fbem-19724	43	14	and	and	CCONJ
fbem-19724	43	15	two	two	NUM
fbem-19724	43	16	distinct	distinct	ADJ
fbem-19724	43	17	constraint	constraint	NOUN
fbem-19724	43	18	sets	set	NOUN
fbem-19724	43	19	.	.	PUNCT
fbem-19724	44	1	it	it	PRON
fbem-19724	44	2	employs	employ	VERB
fbem-19724	44	3	the	the	DET
fbem-19724	44	4	markowitz	markowitz	PROPN
fbem-19724	44	5	portfolio	portfolio	PROPN
fbem-19724	44	6	analysis	analysis	NOUN
fbem-19724	44	7	framework	framework	NOUN
fbem-19724	44	8	,	,	PUNCT
fbem-19724	44	9	which	which	PRON
fbem-19724	44	10	focuses	focus	VERB
fbem-19724	44	11	on	on	ADP
fbem-19724	44	12	creating	create	VERB
fbem-19724	44	13	efficient	efficient	ADJ
fbem-19724	44	14	portfolios	portfolio	NOUN
fbem-19724	44	15	that	that	PRON
fbem-19724	44	16	balance	balance	VERB
fbem-19724	44	17	risk	risk	NOUN
fbem-19724	44	18	and	and	CCONJ
fbem-19724	44	19	return	return	NOUN
fbem-19724	44	20	.	.	PUNCT
fbem-19724	45	1	the	the	DET
fbem-19724	45	2	primary	primary	ADJ
fbem-19724	45	3	output	output	NOUN
fbem-19724	45	4	of	of	ADP
fbem-19724	45	5	this	this	DET
fbem-19724	45	6	analysis	analysis	NOUN
fbem-19724	45	7	is	be	AUX
fbem-19724	45	8	the	the	DET
fbem-19724	45	9	identification	identification	NOUN
fbem-19724	45	10	of	of	ADP
fbem-19724	45	11	an	an	DET
fbem-19724	45	12	efficient	efficient	ADJ
fbem-19724	45	13	frontier	frontier	NOUN
fbem-19724	45	14	,	,	PUNCT
fbem-19724	45	15	representing	represent	VERB
fbem-19724	45	16	portfolios	portfolio	NOUN
fbem-19724	45	17	that	that	PRON
fbem-19724	45	18	achieve	achieve	VERB
fbem-19724	45	19	the	the	DET
fbem-19724	45	20	highest	high	ADJ
fbem-19724	45	21	return	return	NOUN
fbem-19724	45	22	for	for	ADP
fbem-19724	45	23	a	a	DET
fbem-19724	45	24	given	give	VERB
fbem-19724	45	25	level	level	NOUN
fbem-19724	45	26	of	of	ADP
fbem-19724	45	27	risk	risk	NOUN
fbem-19724	45	28	.	.	PUNCT
fbem-19724	46	1	the	the	DET
fbem-19724	46	2	study	study	NOUN
fbem-19724	46	3	illustrates	illustrate	VERB
fbem-19724	46	4	how	how	SCONJ
fbem-19724	46	5	investors	investor	NOUN
fbem-19724	46	6	can	can	AUX
fbem-19724	46	7	minimize	minimize	VERB
fbem-19724	46	8	risk	risk	NOUN
fbem-19724	46	9	and	and	CCONJ
fbem-19724	46	10	maximize	maximize	VERB
fbem-19724	46	11	returns	return	NOUN
fbem-19724	46	12	,	,	PUNCT
fbem-19724	46	13	guiding	guide	VERB
fbem-19724	46	14	them	they	PRON
fbem-19724	46	15	on	on	ADP
fbem-19724	46	16	when	when	SCONJ
fbem-19724	46	17	and	and	CCONJ
fbem-19724	46	18	why	why	SCONJ
fbem-19724	46	19	to	to	PART
fbem-19724	46	20	invest	invest	VERB
fbem-19724	46	21	in	in	ADP
fbem-19724	46	22	specific	specific	ADJ
fbem-19724	46	23	portfolios	portfolio	NOUN
fbem-19724	46	24	.	.	PUNCT
fbem-19724	47	1	the	the	DET
fbem-19724	47	2	markowitz	markowitz	PROPN
fbem-19724	47	3	model	model	NOUN
fbem-19724	47	4	is	be	AUX
fbem-19724	47	5	utilized	utilize	VERB
fbem-19724	47	6	to	to	PART
fbem-19724	47	7	calculate	calculate	VERB
fbem-19724	47	8	standard	standard	ADJ
fbem-19724	47	9	deviations	deviation	NOUN
fbem-19724	47	10	and	and	CCONJ
fbem-19724	47	11	returns	return	NOUN
fbem-19724	47	12	for	for	ADP
fbem-19724	47	13	feasible	feasible	ADJ
fbem-19724	47	14	portfolios	portfolio	NOUN
fbem-19724	47	15	,	,	PUNCT
fbem-19724	47	16	identifying	identify	VERB
fbem-19724	47	17	the	the	DET
fbem-19724	47	18	efficient	efficient	ADJ
fbem-19724	47	19	frontier	frontier	NOUN
fbem-19724	47	20	as	as	ADP
fbem-19724	47	21	the	the	DET
fbem-19724	47	22	boundary	boundary	NOUN
fbem-19724	47	23	for	for	ADP
fbem-19724	47	24	portfolios	portfolio	NOUN
fbem-19724	47	25	with	with	ADP
fbem-19724	47	26	increasing	increase	VERB
fbem-19724	47	27	returns	return	NOUN
fbem-19724	47	28	[	[	X
fbem-19724	47	29	5	5	NUM
fbem-19724	47	30	]	]	PUNCT
fbem-19724	47	31	.	.	PUNCT
fbem-19724	48	1	it	it	PRON
fbem-19724	48	2	can	can	AUX
fbem-19724	48	3	be	be	AUX
fbem-19724	48	4	seen	see	VERB
fbem-19724	48	5	that	that	SCONJ
fbem-19724	48	6	the	the	DET
fbem-19724	48	7	above	above	ADJ
fbem-19724	48	8	key	key	ADJ
fbem-19724	48	9	topics	topic	NOUN
fbem-19724	48	10	fully	fully	ADV
fbem-19724	48	11	demonstrate	demonstrate	VERB
fbem-19724	48	12	the	the	DET
fbem-19724	48	13	effectiveness	effectiveness	NOUN
fbem-19724	48	14	of	of	ADP
fbem-19724	48	15	statistical	statistical	ADJ
fbem-19724	48	16	models	model	NOUN
fbem-19724	48	17	and	and	CCONJ
fbem-19724	48	18	the	the	DET
fbem-19724	48	19	control	control	NOUN
fbem-19724	48	20	of	of	ADP
fbem-19724	48	21	risks	risk	NOUN
fbem-19724	48	22	,	,	PUNCT
fbem-19724	48	23	and	and	CCONJ
fbem-19724	48	24	further	far	ADV
fbem-19724	48	25	combine	combine	VERB
fbem-19724	48	26	with	with	ADP
fbem-19724	48	27	deep	deep	ADJ
fbem-19724	48	28	learning	learning	NOUN
fbem-19724	48	29	algorithms	algorithm	NOUN
fbem-19724	48	30	to	to	PART
fbem-19724	48	31	improve	improve	VERB
fbem-19724	48	32	the	the	DET
fbem-19724	48	33	efficiency	efficiency	NOUN
fbem-19724	48	34	of	of	ADP
fbem-19724	48	35	portfolio	portfolio	NOUN
fbem-19724	48	36	construction	construction	NOUN
fbem-19724	48	37	.	.	PUNCT
fbem-19724	49	1	however	however	ADV
fbem-19724	49	2	,	,	PUNCT
fbem-19724	49	3	the	the	DET
fbem-19724	49	4	research	research	NOUN
fbem-19724	49	5	did	do	AUX
fbem-19724	49	6	not	not	PART
fbem-19724	49	7	have	have	VERB
fbem-19724	49	8	a	a	DET
fbem-19724	49	9	thorough	thorough	ADJ
fbem-19724	49	10	look	look	NOUN
fbem-19724	49	11	at	at	ADP
fbem-19724	49	12	which	which	DET
fbem-19724	49	13	model	model	NOUN
fbem-19724	49	14	is	be	AUX
fbem-19724	49	15	the	the	DET
fbem-19724	49	16	more	more	ADV
fbem-19724	49	17	efficient	efficient	ADJ
fbem-19724	49	18	and	and	CCONJ
fbem-19724	49	19	reliable	reliable	ADJ
fbem-19724	49	20	for	for	ADP
fbem-19724	49	21	the	the	DET
fbem-19724	49	22	investors	investor	NOUN
fbem-19724	49	23	.	.	PUNCT
fbem-19724	50	1	considering	consider	VERB
fbem-19724	50	2	markowitz	markowitz	PROPN
fbem-19724	50	3	model	model	PROPN
fbem-19724	50	4	and	and	CCONJ
fbem-19724	50	5	index	index	NOUN
fbem-19724	50	6	model	model	NOUN
fbem-19724	50	7	are	be	AUX
fbem-19724	50	8	both	both	DET
fbem-19724	50	9	famous	famous	ADJ
fbem-19724	50	10	models	model	NOUN
fbem-19724	50	11	used	use	VERB
fbem-19724	50	12	by	by	ADP
fbem-19724	50	13	multiple	multiple	ADJ
fbem-19724	50	14	financial	financial	ADJ
fbem-19724	50	15	institution	institution	NOUN
fbem-19724	50	16	for	for	ADP
fbem-19724	50	17	many	many	ADJ
fbem-19724	50	18	years	year	NOUN
fbem-19724	50	19	,	,	PUNCT
fbem-19724	50	20	putting	put	VERB
fbem-19724	50	21	a	a	DET
fbem-19724	50	22	glance	glance	NOUN
fbem-19724	50	23	at	at	ADP
fbem-19724	50	24	which	which	DET
fbem-19724	50	25	model	model	NOUN
fbem-19724	50	26	is	be	AUX
fbem-19724	50	27	better	well	ADJ
fbem-19724	50	28	is	be	AUX
fbem-19724	50	29	an	an	DET
fbem-19724	50	30	attracting	attracting	NOUN
fbem-19724	50	31	topic	topic	NOUN
fbem-19724	50	32	.	.	PUNCT
fbem-19724	51	1	this	this	DET
fbem-19724	51	2	paper	paper	NOUN
fbem-19724	51	3	also	also	ADV
fbem-19724	51	4	explores	explore	VERB
fbem-19724	51	5	the	the	DET
fbem-19724	51	6	application	application	NOUN
fbem-19724	51	7	of	of	ADP
fbem-19724	51	8	the	the	DET
fbem-19724	51	9	efficient	efficient	ADJ
fbem-19724	51	10	market	market	NOUN
fbem-19724	51	11	hypothesis	hypothesis	NOUN
fbem-19724	51	12	in	in	ADP
fbem-19724	51	13	the	the	DET
fbem-19724	51	14	contemporary	contemporary	ADJ
fbem-19724	51	15	economic	economic	ADJ
fbem-19724	51	16	context	context	NOUN
fbem-19724	51	17	,	,	PUNCT
fbem-19724	51	18	through	through	ADP
fbem-19724	51	19	which	which	PRON
fbem-19724	51	20	it	it	PRON
fbem-19724	51	21	fully	fully	ADV
fbem-19724	51	22	demonstrates	demonstrate	VERB
fbem-19724	51	23	how	how	SCONJ
fbem-19724	51	24	to	to	PART
fbem-19724	51	25	balance	balance	VERB
fbem-19724	51	26	risk	risk	NOUN
fbem-19724	51	27	and	and	CCONJ
fbem-19724	51	28	return	return	VERB
fbem-19724	51	29	in	in	ADP
fbem-19724	51	30	portfolio	portfolio	NOUN
fbem-19724	51	31	selection	selection	NOUN
fbem-19724	51	32	.	.	PUNCT
fbem-19724	52	1	3	3	X
fbem-19724	52	2	.	.	X
fbem-19724	52	3	methodology	methodology	NOUN
fbem-19724	52	4	3.1	3.1	NUM
fbem-19724	52	5	.	.	PUNCT
fbem-19724	52	6	model	model	NOUN
fbem-19724	52	7	introduction	introduction	NOUN
fbem-19724	52	8	3.1.1	3.1.1	NUM
fbem-19724	52	9	.	.	PUNCT
fbem-19724	53	1	markowitz	markowitz	PROPN
fbem-19724	53	2	model	model	PROPN
fbem-19724	53	3	the	the	DET
fbem-19724	53	4	markowitz	markowitz	PROPN
fbem-19724	53	5	model	model	NOUN
fbem-19724	53	6	is	be	AUX
fbem-19724	53	7	a	a	DET
fbem-19724	53	8	tool	tool	NOUN
fbem-19724	53	9	to	to	PART
fbem-19724	53	10	help	help	VERB
fbem-19724	53	11	investors	investor	NOUN
fbem-19724	53	12	make	make	VERB
fbem-19724	53	13	better	well	ADJ
fbem-19724	53	14	portfolio	portfolio	NOUN
fbem-19724	53	15	decisions	decision	NOUN
fbem-19724	53	16	,	,	PUNCT
fbem-19724	53	17	developed	develop	VERB
fbem-19724	53	18	by	by	ADP
fbem-19724	53	19	harry	harry	PROPN
fbem-19724	53	20	markowitz	markowitz	PROPN
fbem-19724	53	21	in	in	ADP
fbem-19724	53	22	1952	1952	NUM
fbem-19724	53	23	.	.	PUNCT
fbem-19724	54	1	the	the	DET
fbem-19724	54	2	core	core	ADJ
fbem-19724	54	3	idea	idea	NOUN
fbem-19724	54	4	of	of	ADP
fbem-19724	54	5	this	this	DET
fbem-19724	54	6	model	model	NOUN
fbem-19724	54	7	is	be	AUX
fbem-19724	54	8	to	to	PART
fbem-19724	54	9	obtain	obtain	VERB
fbem-19724	54	10	the	the	DET
fbem-19724	54	11	maximum	maximum	ADJ
fbem-19724	54	12	expected	expect	VERB
fbem-19724	54	13	return	return	NOUN
fbem-19724	54	14	as	as	ADV
fbem-19724	54	15	far	far	ADV
fbem-19724	54	16	as	as	ADP
fbem-19724	54	17	possible	possible	ADJ
fbem-19724	54	18	under	under	ADP
fbem-19724	54	19	a	a	DET
fbem-19724	54	20	certain	certain	ADJ
fbem-19724	54	21	level	level	NOUN
fbem-19724	54	22	of	of	ADP
fbem-19724	54	23	risk	risk	NOUN
fbem-19724	54	24	,	,	PUNCT
fbem-19724	54	25	or	or	CCONJ
fbem-19724	54	26	to	to	PART
fbem-19724	54	27	reduce	reduce	VERB
fbem-19724	54	28	the	the	DET
fbem-19724	54	29	risk	risk	NOUN
fbem-19724	54	30	as	as	ADV
fbem-19724	54	31	far	far	ADV
fbem-19724	54	32	as	as	ADP
fbem-19724	54	33	possible	possible	ADJ
fbem-19724	54	34	under	under	ADP
fbem-19724	54	35	a	a	DET
fbem-19724	54	36	certain	certain	ADJ
fbem-19724	54	37	income	income	NOUN
fbem-19724	54	38	target	target	NOUN
fbem-19724	54	39	.	.	PUNCT
fbem-19724	55	1	steps	step	NOUN
fbem-19724	55	2	of	of	ADP
fbem-19724	55	3	markowitz	markowitz	PROPN
fbem-19724	55	4	model	model	PROPN
fbem-19724	55	5	in	in	ADP
fbem-19724	55	6	assets	asset	NOUN
fbem-19724	55	7	allocation	allocation	NOUN
fbem-19724	55	8	are	be	AUX
fbem-19724	55	9	as	as	SCONJ
fbem-19724	55	10	follows	follow	VERB
fbem-19724	55	11	[	[	X
fbem-19724	55	12	6	6	NUM
fbem-19724	55	13	]	]	PUNCT
fbem-19724	55	14	:	:	PUNCT
fbem-19724	55	15	using	use	VERB
fbem-19724	55	16	historical	historical	ADJ
fbem-19724	55	17	data	datum	NOUN
fbem-19724	55	18	to	to	PART
fbem-19724	55	19	calculate	calculate	VERB
fbem-19724	55	20	the	the	DET
fbem-19724	55	21	variance	variance	NOUN
fbem-19724	55	22	and	and	CCONJ
fbem-19724	55	23	covariance	covariance	NOUN
fbem-19724	55	24	of	of	ADP
fbem-19724	55	25	the	the	DET
fbem-19724	55	26	return	return	NOUN
fbem-19724	55	27	of	of	ADP
fbem-19724	55	28	stock	stock	NOUN
fbem-19724	55	29	prices	price	NOUN
fbem-19724	55	30	changing	change	VERB
fbem-19724	55	31	weights	weight	NOUN
fbem-19724	55	32	allocated	allocate	VERB
fbem-19724	55	33	to	to	ADP
fbem-19724	55	34	the	the	DET
fbem-19724	55	35	different	different	ADJ
fbem-19724	55	36	assets	asset	NOUN
fbem-19724	55	37	to	to	PART
fbem-19724	55	38	draw	draw	VERB
fbem-19724	55	39	a	a	DET
fbem-19724	55	40	figure	figure	NOUN
fbem-19724	55	41	with	with	ADP
fbem-19724	55	42	volatility	volatility	NOUN
fbem-19724	55	43	𝜎	𝜎	PROPN
fbem-19724	55	44	as	as	ADP
fbem-19724	55	45	the	the	DET
fbem-19724	55	46	x	x	NOUN
fbem-19724	55	47	-	-	NOUN
fbem-19724	55	48	axis	axis	ADJ
fbem-19724	55	49	and	and	CCONJ
fbem-19724	55	50	return	return	VERB
fbem-19724	55	51	rate	rate	NOUN
fbem-19724	55	52	𝑟	𝑟	NOUN
fbem-19724	55	53	as	as	ADP
fbem-19724	55	54	the	the	DET
fbem-19724	55	55	y	y	NOUN
fbem-19724	55	56	-	-	PUNCT
fbem-19724	55	57	axis	axis	NOUN
fbem-19724	55	58	which	which	PRON
fbem-19724	55	59	contains	contain	VERB
fbem-19724	55	60	all	all	DET
fbem-19724	55	61	possible	possible	ADJ
fbem-19724	55	62	portfolios	portfolio	NOUN
fbem-19724	55	63	in	in	ADP
fbem-19724	55	64	the	the	DET
fbem-19724	55	65	markets	market	NOUN
fbem-19724	55	66	investors	investor	NOUN
fbem-19724	55	67	can	can	AUX
fbem-19724	55	68	find	find	VERB
fbem-19724	55	69	the	the	DET
fbem-19724	55	70	efficient	efficient	ADJ
fbem-19724	55	71	frontier	frontier	NOUN
fbem-19724	55	72	and	and	CCONJ
fbem-19724	55	73	some	some	DET
fbem-19724	55	74	important	important	ADJ
fbem-19724	55	75	portfolios	portfolio	NOUN
fbem-19724	55	76	such	such	ADJ
fbem-19724	55	77	as	as	ADP
fbem-19724	55	78	minimal	minimal	ADJ
fbem-19724	55	79	variance	variance	NOUN
fbem-19724	55	80	portfolio	portfolio	NOUN
fbem-19724	55	81	and	and	CCONJ
fbem-19724	55	82	tangency	tangency	PROPN
fbem-19724	55	83	portfolio	portfolio	NOUN
fbem-19724	55	84	which	which	PRON
fbem-19724	55	85	has	have	VERB
fbem-19724	55	86	the	the	DET
fbem-19724	55	87	highest	high	ADJ
fbem-19724	55	88	sharpe	sharpe	PROPN
fbem-19724	55	89	ratio	ratio	PROPN
fbem-19724	55	90	3.1.2	3.1.2	PROPN
fbem-19724	55	91	.	.	PUNCT
fbem-19724	56	1	index	index	NOUN
fbem-19724	56	2	model	model	NOUN
fbem-19724	56	3	in	in	ADP
fbem-19724	56	4	layman	layman	PROPN
fbem-19724	56	5	's	's	PART
fbem-19724	56	6	terms	term	NOUN
fbem-19724	56	7	,	,	PUNCT
fbem-19724	56	8	the	the	DET
fbem-19724	56	9	index	index	NOUN
fbem-19724	56	10	model	model	NOUN
fbem-19724	56	11	is	be	AUX
fbem-19724	56	12	a	a	DET
fbem-19724	56	13	tool	tool	NOUN
fbem-19724	56	14	for	for	ADP
fbem-19724	56	15	analyzing	analyze	VERB
fbem-19724	56	16	stock	stock	NOUN
fbem-19724	56	17	returns	return	NOUN
fbem-19724	56	18	,	,	PUNCT
fbem-19724	56	19	and	and	CCONJ
fbem-19724	56	20	it	it	PRON
fbem-19724	56	21	takes	take	VERB
fbem-19724	56	22	into	into	ADP
fbem-19724	56	23	account	account	NOUN
fbem-19724	56	24	two	two	NUM
fbem-19724	56	25	main	main	ADJ
fbem-19724	56	26	types	type	NOUN
fbem-19724	56	27	of	of	ADP
fbem-19724	56	28	risk	risk	NOUN
fbem-19724	56	29	.	.	PUNCT
fbem-19724	57	1	the	the	DET
fbem-19724	57	2	first	first	ADJ
fbem-19724	57	3	is	be	AUX
fbem-19724	57	4	systemic	systemic	ADJ
fbem-19724	57	5	risk	risk	NOUN
fbem-19724	57	6	,	,	PUNCT
fbem-19724	57	7	that	that	ADV
fbem-19724	57	8	is	is	ADV
fbem-19724	57	9	,	,	PUNCT
fbem-19724	57	10	market	market	NOUN
fbem-19724	57	11	risk	risk	NOUN
fbem-19724	57	12	.	.	PUNCT
fbem-19724	58	1	this	this	DET
fbem-19724	58	2	risk	risk	NOUN
fbem-19724	58	3	comes	come	VERB
fbem-19724	58	4	from	from	ADP
fbem-19724	58	5	big	big	ADJ
fbem-19724	58	6	events	event	NOUN
fbem-19724	58	7	that	that	PRON
fbem-19724	58	8	affect	affect	VERB
fbem-19724	58	9	the	the	DET
fbem-19724	58	10	entire	entire	ADJ
fbem-19724	58	11	stock	stock	NOUN
fbem-19724	58	12	market	market	NOUN
fbem-19724	58	13	,	,	PUNCT
fbem-19724	58	14	such	such	ADJ
fbem-19724	58	15	as	as	ADP
fbem-19724	58	16	economic	economic	ADJ
fbem-19724	58	17	crises	crisis	NOUN
fbem-19724	58	18	,	,	PUNCT
fbem-19724	58	19	policy	policy	NOUN
fbem-19724	58	20	changes	change	NOUN
fbem-19724	58	21	or	or	CCONJ
fbem-19724	58	22	global	global	ADJ
fbem-19724	58	23	financial	financial	ADJ
fbem-19724	58	24	turmoil	turmoil	NOUN
fbem-19724	58	25	.	.	PUNCT
fbem-19724	59	1	these	these	PRON
fbem-19724	59	2	are	be	AUX
fbem-19724	59	3	external	external	ADJ
fbem-19724	59	4	factors	factor	NOUN
fbem-19724	59	5	beyond	beyond	ADP
fbem-19724	59	6	the	the	DET
fbem-19724	59	7	individual	individual	ADJ
fbem-19724	59	8	investor	investor	NOUN
fbem-19724	59	9	's	's	PART
fbem-19724	59	10	control	control	NOUN
fbem-19724	59	11	that	that	PRON
fbem-19724	59	12	affect	affect	VERB
fbem-19724	59	13	all	all	DET
fbem-19724	59	14	stocks	stock	NOUN
fbem-19724	59	15	in	in	ADP
fbem-19724	59	16	the	the	DET
fbem-19724	59	17	market	market	NOUN
fbem-19724	59	18	.	.	PUNCT
fbem-19724	60	1	simply	simply	ADV
fbem-19724	60	2	put	put	VERB
fbem-19724	60	3	,	,	PUNCT
fbem-19724	60	4	when	when	SCONJ
fbem-19724	60	5	the	the	DET
fbem-19724	60	6	economic	economic	ADJ
fbem-19724	60	7	situation	situation	NOUN
fbem-19724	60	8	is	be	AUX
fbem-19724	60	9	bad	bad	ADJ
fbem-19724	60	10	or	or	CCONJ
fbem-19724	60	11	the	the	DET
fbem-19724	60	12	market	market	NOUN
fbem-19724	60	13	is	be	AUX
fbem-19724	60	14	unstable	unstable	ADJ
fbem-19724	60	15	,	,	PUNCT
fbem-19724	60	16	the	the	DET
fbem-19724	60	17	price	price	NOUN
fbem-19724	60	18	of	of	ADP
fbem-19724	60	19	most	most	ADJ
fbem-19724	60	20	stocks	stock	NOUN
fbem-19724	60	21	may	may	AUX
fbem-19724	60	22	fall	fall	VERB
fbem-19724	60	23	,	,	PUNCT
fbem-19724	60	24	which	which	PRON
fbem-19724	60	25	is	be	AUX
fbem-19724	60	26	systemic	systemic	ADJ
fbem-19724	60	27	risk	risk	NOUN
fbem-19724	60	28	.	.	PUNCT
fbem-19724	61	1	and	and	CCONJ
fbem-19724	61	2	the	the	DET
fbem-19724	61	3	second	second	ADJ
fbem-19724	61	4	type	type	NOUN
fbem-19724	61	5	of	of	ADP
fbem-19724	61	6	risk	risk	NOUN
fbem-19724	61	7	is	be	AUX
fbem-19724	61	8	specific	specific	ADJ
fbem-19724	61	9	risk	risk	NOUN
fbem-19724	61	10	,	,	PUNCT
fbem-19724	61	11	also	also	ADV
fbem-19724	61	12	known	know	VERB
fbem-19724	61	13	as	as	ADP
fbem-19724	61	14	unsystematic	unsystematic	ADJ
fbem-19724	61	15	risk	risk	NOUN
fbem-19724	61	16	,	,	PUNCT
fbem-19724	61	17	is	be	AUX
fbem-19724	61	18	the	the	DET
fbem-19724	61	19	risk	risk	NOUN
fbem-19724	61	20	specific	specific	ADJ
fbem-19724	61	21	to	to	ADP
fbem-19724	61	22	an	an	DET
fbem-19724	61	23	individual	individual	ADJ
fbem-19724	61	24	security	security	NOUN
fbem-19724	61	25	that	that	PRON
fbem-19724	61	26	can	can	AUX
fbem-19724	61	27	be	be	AUX
fbem-19724	61	28	diversified	diversify	VERB
fbem-19724	61	29	away	away	ADV
fbem-19724	61	30	in	in	ADP
fbem-19724	61	31	this	this	DET
fbem-19724	61	32	well	well	ADV
fbem-19724	61	33	-	-	PUNCT
fbem-19724	61	34	constructed	construct	VERB
fbem-19724	61	35	portfolio	portfolio	NOUN
fbem-19724	61	36	.	.	PUNCT
fbem-19724	62	1	the	the	DET
fbem-19724	62	2	advantage	advantage	NOUN
fbem-19724	62	3	of	of	ADP
fbem-19724	62	4	index	index	NOUN
fbem-19724	62	5	model	model	NOUN
fbem-19724	62	6	is	be	AUX
fbem-19724	62	7	that	that	SCONJ
fbem-19724	62	8	only	only	ADV
fbem-19724	62	9	linear	linear	ADJ
fbem-19724	62	10	regression	regression	NOUN
fbem-19724	62	11	is	be	AUX
fbem-19724	62	12	required	require	VERB
fbem-19724	62	13	and	and	CCONJ
fbem-19724	62	14	only	only	ADV
fbem-19724	62	15	two	two	NUM
fbem-19724	62	16	factors	factor	NOUN
fbem-19724	62	17	–	–	PUNCT
fbem-19724	62	18	systematic	systematic	ADJ
fbem-19724	62	19	risk	risk	NOUN
fbem-19724	62	20	and	and	CCONJ
fbem-19724	62	21	specific	specific	ADJ
fbem-19724	62	22	risk	risk	NOUN
fbem-19724	62	23	are	be	AUX
fbem-19724	62	24	included	include	VERB
fbem-19724	62	25	.	.	PUNCT
fbem-19724	63	1	the	the	DET
fbem-19724	63	2	model	model	NOUN
fbem-19724	63	3	incorporates	incorporate	VERB
fbem-19724	63	4	the	the	DET
fbem-19724	63	5	use	use	NOUN
fbem-19724	63	6	of	of	ADP
fbem-19724	63	7	a	a	DET
fbem-19724	63	8	market	market	NOUN
fbem-19724	63	9	index	index	NOUN
fbem-19724	63	10	,	,	PUNCT
fbem-19724	63	11	typically	typically	ADV
fbem-19724	63	12	representing	represent	VERB
fbem-19724	63	13	the	the	DET
fbem-19724	63	14	overall	overall	ADJ
fbem-19724	63	15	market	market	NOUN
fbem-19724	63	16	's	's	PART
fbem-19724	63	17	performance	performance	NOUN
fbem-19724	63	18	,	,	PUNCT
fbem-19724	63	19	as	as	ADP
fbem-19724	63	20	a	a	DET
fbem-19724	63	21	proxy	proxy	NOUN
fbem-19724	63	22	for	for	ADP
fbem-19724	63	23	systematic	systematic	ADJ
fbem-19724	63	24	risk	risk	NOUN
fbem-19724	63	25	.	.	PUNCT
fbem-19724	64	1	in	in	ADP
fbem-19724	64	2	its	its	PRON
fbem-19724	64	3	simplest	simple	ADJ
fbem-19724	64	4	form	form	NOUN
fbem-19724	64	5	,	,	PUNCT
fbem-19724	64	6	the	the	DET
fbem-19724	64	7	index	index	NOUN
fbem-19724	64	8	model	model	NOUN
fbem-19724	64	9	expresses	express	VERB
fbem-19724	64	10	the	the	DET
fbem-19724	64	11	return	return	NOUN
fbem-19724	64	12	on	on	ADP
fbem-19724	64	13	an	an	DET
fbem-19724	64	14	individual	individual	ADJ
fbem-19724	64	15	security	security	NOUN
fbem-19724	64	16	as	as	ADP
fbem-19724	64	17	a	a	DET
fbem-19724	64	18	function	function	NOUN
fbem-19724	64	19	of	of	ADP
fbem-19724	64	20	its	its	PRON
fbem-19724	64	21	sensitivity	sensitivity	NOUN
fbem-19724	64	22	to	to	ADP
fbem-19724	64	23	market	market	NOUN
fbem-19724	64	24	movements	movement	NOUN
fbem-19724	64	25	(	(	PUNCT
fbem-19724	64	26	beta	beta	NOUN
fbem-19724	64	27	)	)	PUNCT
fbem-19724	64	28	,	,	PUNCT
fbem-19724	64	29	the	the	DET
fbem-19724	64	30	expected	expect	VERB
fbem-19724	64	31	return	return	NOUN
fbem-19724	64	32	of	of	ADP
fbem-19724	64	33	the	the	DET
fbem-19724	64	34	market	market	NOUN
fbem-19724	64	35	,	,	PUNCT
fbem-19724	64	36	and	and	CCONJ
fbem-19724	64	37	a	a	DET
fbem-19724	64	38	unique	unique	ADJ
fbem-19724	64	39	risk	risk	NOUN
fbem-19724	64	40	component	component	NOUN
fbem-19724	65	1	[	[	X
fbem-19724	65	2	7	7	NUM
fbem-19724	65	3	]	]	SYM
fbem-19724	65	4	:	:	PUNCT
fbem-19724	65	5	𝑅	𝑅	PROPN
fbem-19724	65	6	𝛼	𝛼	PROPN
fbem-19724	65	7	𝛽	𝛽	PROPN
fbem-19724	65	8	𝑅	𝑅	PROPN
fbem-19724	65	9	𝜀	𝜀	PROPN
fbem-19724	65	10	where	where	SCONJ
fbem-19724	65	11	:	:	PUNCT
fbem-19724	65	12	𝑅	𝑅	NOUN
fbem-19724	65	13	is	be	AUX
fbem-19724	65	14	the	the	DET
fbem-19724	65	15	return	return	NOUN
fbem-19724	65	16	on	on	ADP
fbem-19724	65	17	the	the	DET
fbem-19724	65	18	individual	individual	ADJ
fbem-19724	65	19	security	security	NOUN
fbem-19724	65	20	.	.	PUNCT
fbem-19724	66	1	𝛼	𝛼	PROPN
fbem-19724	66	2	is	be	AUX
fbem-19724	66	3	the	the	DET
fbem-19724	66	4	security	security	NOUN
fbem-19724	66	5	's	's	PART
fbem-19724	66	6	alpha	alpha	NOUN
fbem-19724	66	7	,	,	PUNCT
fbem-19724	66	8	representing	represent	VERB
fbem-19724	66	9	the	the	DET
fbem-19724	66	10	expected	expected	ADJ
fbem-19724	66	11	excess	excess	ADJ
fbem-19724	66	12	return	return	NOUN
fbem-19724	66	13	not	not	PART
fbem-19724	66	14	explained	explain	VERB
fbem-19724	66	15	by	by	ADP
fbem-19724	66	16	market	market	NOUN
fbem-19724	66	17	movements	movement	NOUN
fbem-19724	66	18	.	.	PUNCT
fbem-19724	67	1	𝛽	𝛽	NOUN
fbem-19724	67	2	is	be	AUX
fbem-19724	67	3	the	the	DET
fbem-19724	67	4	beta	beta	ADJ
fbem-19724	67	5	coefficient	coefficient	NOUN
fbem-19724	67	6	,	,	PUNCT
fbem-19724	67	7	indicating	indicate	VERB
fbem-19724	67	8	the	the	DET
fbem-19724	67	9	security	security	NOUN
fbem-19724	67	10	's	's	PART
fbem-19724	67	11	sensitivity	sensitivity	NOUN
fbem-19724	67	12	to	to	ADP
fbem-19724	67	13	market	market	NOUN
fbem-19724	67	14	returns	return	NOUN
fbem-19724	67	15	.	.	PUNCT
fbem-19724	68	1	𝑅	𝑅	NOUN
fbem-19724	68	2	is	be	AUX
fbem-19724	68	3	the	the	DET
fbem-19724	68	4	return	return	NOUN
fbem-19724	68	5	on	on	ADP
fbem-19724	68	6	the	the	DET
fbem-19724	68	7	market	market	NOUN
fbem-19724	68	8	index	index	NOUN
fbem-19724	68	9	.	.	PUNCT
fbem-19724	69	1	𝜀	𝜀	PROPN
fbem-19724	69	2	is	be	AUX
fbem-19724	69	3	the	the	DET
fbem-19724	69	4	specific	specific	ADJ
fbem-19724	69	5	risk	risk	NOUN
fbem-19724	69	6	component	component	NOUN
fbem-19724	69	7	,	,	PUNCT
fbem-19724	69	8	representing	represent	VERB
fbem-19724	69	9	idiosyncratic	idiosyncratic	ADJ
fbem-19724	69	10	or	or	CCONJ
fbem-19724	69	11	company	company	NOUN
fbem-19724	69	12	-	-	PUNCT
fbem-19724	69	13	specific	specific	ADJ
fbem-19724	69	14	risk	risk	NOUN
fbem-19724	69	15	.	.	PUNCT
fbem-19724	70	1	the	the	DET
fbem-19724	70	2	index	index	NOUN
fbem-19724	70	3	model	model	NOUN
fbem-19724	70	4	is	be	AUX
fbem-19724	70	5	valuable	valuable	ADJ
fbem-19724	70	6	in	in	ADP
fbem-19724	70	7	portfolio	portfolio	NOUN
fbem-19724	70	8	management	management	NOUN
fbem-19724	70	9	and	and	CCONJ
fbem-19724	70	10	security	security	NOUN
fbem-19724	70	11	analysis	analysis	NOUN
fbem-19724	70	12	as	as	SCONJ
fbem-19724	70	13	it	it	PRON
fbem-19724	70	14	helps	help	VERB
fbem-19724	70	15	investors	investor	NOUN
fbem-19724	70	16	understand	understand	VERB
fbem-19724	70	17	the	the	DET
fbem-19724	70	18	risk	risk	NOUN
fbem-19724	70	19	and	and	CCONJ
fbem-19724	70	20	return	return	VERB
fbem-19724	70	21	characteristics	characteristic	NOUN
fbem-19724	70	22	of	of	ADP
fbem-19724	70	23	individual	individual	ADJ
fbem-19724	70	24	securities	security	NOUN
fbem-19724	70	25	in	in	ADP
fbem-19724	70	26	the	the	DET
fbem-19724	70	27	context	context	NOUN
fbem-19724	70	28	of	of	ADP
fbem-19724	70	29	the	the	DET
fbem-19724	70	30	broader	broad	ADJ
fbem-19724	70	31	market	market	NOUN
fbem-19724	70	32	.	.	PUNCT
fbem-19724	71	1	it	it	PRON
fbem-19724	71	2	provides	provide	VERB
fbem-19724	71	3	insights	insight	NOUN
fbem-19724	71	4	into	into	ADP
fbem-19724	71	5	how	how	SCONJ
fbem-19724	71	6	much	much	ADJ
fbem-19724	71	7	of	of	ADP
fbem-19724	71	8	a	a	DET
fbem-19724	71	9	security	security	NOUN
fbem-19724	71	10	's	's	PART
fbem-19724	71	11	risk	risk	NOUN
fbem-19724	71	12	and	and	CCONJ
fbem-19724	71	13	return	return	NOUN
fbem-19724	71	14	can	can	AUX
fbem-19724	71	15	be	be	AUX
fbem-19724	71	16	attributed	attribute	VERB
fbem-19724	71	17	to	to	ADP
fbem-19724	71	18	market	market	NOUN
fbem-19724	71	19	movements	movement	NOUN
fbem-19724	71	20	versus	versus	ADP
fbem-19724	71	21	company	company	NOUN
fbem-19724	71	22	-	-	PUNCT
fbem-19724	71	23	specific	specific	ADJ
fbem-19724	71	24	factors[8	factors[8	PROPN
fbem-19724	71	25	]	]	NOUN
fbem-19724	71	26	.	.	PUNCT
fbem-19724	72	1	3.2	3.2	NUM
fbem-19724	72	2	.	.	PUNCT
fbem-19724	72	3	assumption	assumption	NOUN
fbem-19724	72	4	considering	consider	VERB
fbem-19724	72	5	that	that	SCONJ
fbem-19724	72	6	the	the	DET
fbem-19724	72	7	market	market	NOUN
fbem-19724	72	8	has	have	VERB
fbem-19724	72	9	different	different	ADJ
fbem-19724	72	10	participants	participant	NOUN
fbem-19724	72	11	,	,	PUNCT
fbem-19724	72	12	to	to	PART
fbem-19724	72	13	analyze	analyze	VERB
fbem-19724	72	14	the	the	DET
fbem-19724	72	15	optimal	optimal	ADJ
fbem-19724	72	16	decisions	decision	NOUN
fbem-19724	72	17	for	for	ADP
fbem-19724	72	18	different	different	ADJ
fbem-19724	72	19	investors	investor	NOUN
fbem-19724	72	20	,	,	PUNCT
fbem-19724	72	21	this	this	DET
fbem-19724	72	22	paper	paper	NOUN
fbem-19724	72	23	separate	separate	VERB
fbem-19724	72	24	them	they	PRON
fbem-19724	72	25	into	into	ADP
fbem-19724	72	26	5	5	NUM
fbem-19724	72	27	groups	group	NOUN
fbem-19724	72	28	whose	whose	DET
fbem-19724	72	29	investment	investment	NOUN
fbem-19724	72	30	behaviors	behavior	NOUN
fbem-19724	72	31	are	be	AUX
fbem-19724	72	32	constrained	constrain	VERB
fbem-19724	72	33	by	by	ADP
fbem-19724	72	34	the	the	DET
fbem-19724	72	35	terms	term	NOUN
fbem-19724	72	36	below	below	ADP
fbem-19724	72	37	:	:	PUNCT
fbem-19724	72	38	1	1	X
fbem-19724	72	39	.	.	X
fbem-19724	72	40	regulation	regulation	NOUN
fbem-19724	72	41	t	t	PROPN
fbem-19724	72	42	by	by	ADP
fbem-19724	72	43	finra	finra	PROPN
fbem-19724	72	44	,	,	PUNCT
fbem-19724	72	45	allows	allow	VERB
fbem-19724	72	46	broker	broker	NOUN
fbem-19724	72	47	-	-	PUNCT
fbem-19724	72	48	dealers	dealer	NOUN
fbem-19724	72	49	to	to	PART
fbem-19724	72	50	allow	allow	VERB
fbem-19724	72	51	their	their	PRON
fbem-19724	72	52	customers	customer	NOUN
fbem-19724	72	53	to	to	PART
fbem-19724	72	54	have	have	VERB
fbem-19724	72	55	positions	position	NOUN
fbem-19724	72	56	,	,	PUNCT
fbem-19724	72	57	50	50	NUM
fbem-19724	72	58	%	%	NOUN
fbem-19724	72	59	or	or	CCONJ
fbem-19724	72	60	more	more	ADJ
fbem-19724	72	61	of	of	ADP
fbem-19724	72	62	which	which	PRON
fbem-19724	72	63	are	be	AUX
fbem-19724	72	64	funded	fund	VERB
fbem-19724	72	65	by	by	ADP
fbem-19724	72	66	the	the	DET
fbem-19724	72	67	customer	customer	NOUN
fbem-19724	72	68	’s	’s	PART
fbem-19724	72	69	account	account	NOUN
fbem-19724	72	70	equity	equity	NOUN
fbem-19724	72	71	.	.	PUNCT
fbem-19724	73	1	2	2	X
fbem-19724	73	2	.	.	X
fbem-19724	73	3	some	some	DET
fbem-19724	73	4	arbitrary	arbitrary	ADJ
fbem-19724	73	5	“	"	PUNCT
fbem-19724	73	6	box	box	NOUN
fbem-19724	73	7	”	"	PUNCT
fbem-19724	73	8	constraints	constraint	NOUN
fbem-19724	73	9	on	on	ADP
fbem-19724	73	10	weights	weight	NOUN
fbem-19724	73	11	,	,	PUNCT
fbem-19724	73	12	which	which	PRON
fbem-19724	73	13	may	may	AUX
fbem-19724	73	14	be	be	AUX
fbem-19724	73	15	provided	provide	VERB
fbem-19724	73	16	by	by	ADP
fbem-19724	73	17	the	the	DET
fbem-19724	73	18	client	client	NOUN
fbem-19724	73	19	.	.	PUNCT
fbem-19724	74	1	3.don’t	3.don’t	NUM
fbem-19724	74	2	have	have	VERB
fbem-19724	74	3	any	any	DET
fbem-19724	74	4	additional	additional	ADJ
fbem-19724	74	5	optimization	optimization	NOUN
fbem-19724	74	6	constraints	constraint	NOUN
fbem-19724	74	7	.	.	PUNCT
fbem-19724	75	1	4	4	X
fbem-19724	75	2	.	.	NOUN
fbem-19724	75	3	typical	typical	ADJ
fbem-19724	75	4	limitations	limitation	NOUN
fbem-19724	75	5	existing	exist	VERB
fbem-19724	75	6	in	in	ADP
fbem-19724	75	7	the	the	DET
fbem-19724	75	8	u.s	u.s	PROPN
fbem-19724	75	9	.	.	PROPN
fbem-19724	75	10	mutual	mutual	ADJ
fbem-19724	75	11	fund	fund	NOUN
fbem-19724	75	12	industry	industry	NOUN
fbem-19724	75	13	:	:	PUNCT
fbem-19724	75	14	a	a	DET
fbem-19724	75	15	u.s	u.s	PROPN
fbem-19724	75	16	.	.	PROPN
fbem-19724	75	17	open	open	ADJ
fbem-19724	75	18	-	-	PUNCT
fbem-19724	75	19	ended	end	VERB
fbem-19724	75	20	mutual	mutual	ADJ
fbem-19724	75	21	fund	fund	NOUN
fbem-19724	75	22	is	be	AUX
fbem-19724	75	23	not	not	PART
fbem-19724	75	24	allowed	allow	VERB
fbem-19724	75	25	to	to	PART
fbem-19724	75	26	have	have	VERB
fbem-19724	75	27	any	any	DET
fbem-19724	75	28	short	short	ADJ
fbem-19724	75	29	positions	position	NOUN
fbem-19724	75	30	,	,	PUNCT
fbem-19724	75	31	5	5	NUM
fbem-19724	75	32	.	.	PUNCT
fbem-19724	75	33	to	to	PART
fbem-19724	75	34	check	check	VERB
fbem-19724	75	35	if	if	SCONJ
fbem-19724	75	36	the	the	DET
fbem-19724	75	37	inclusion	inclusion	NOUN
fbem-19724	75	38	of	of	ADP
fbem-19724	75	39	the	the	DET
fbem-19724	75	40	broad	broad	ADJ
fbem-19724	75	41	index	index	NOUN
fbem-19724	75	42	into	into	ADP
fbem-19724	75	43	the	the	DET
fbem-19724	75	44	portfolio	portfolio	NOUN
fbem-19724	75	45	has	have	VERB
fbem-19724	75	46	positive	positive	ADJ
fbem-19724	75	47	or	or	CCONJ
fbem-19724	75	48	negative	negative	ADJ
fbem-19724	75	49	effect	effect	NOUN
fbem-19724	75	50	,	,	PUNCT
fbem-19724	75	51	remove	remove	VERB
fbem-19724	75	52	the	the	DET
fbem-19724	75	53	investment	investment	NOUN
fbem-19724	75	54	on	on	ADP
fbem-19724	75	55	spx	spx	PROPN
fbem-19724	75	56	index	index	NOUN
fbem-19724	75	57	.	.	PUNCT
fbem-19724	76	1	for	for	ADP
fbem-19724	76	2	better	well	ADJ
fbem-19724	76	3	visualization	visualization	NOUN
fbem-19724	76	4	,	,	PUNCT
fbem-19724	76	5	3	3	NUM
fbem-19724	76	6	frontiers	frontier	NOUN
fbem-19724	76	7	are	be	AUX
fbem-19724	76	8	introduced	introduce	VERB
fbem-19724	76	9	minimal	minimal	ADJ
fbem-19724	76	10	risk	risk	NOUN
fbem-19724	76	11	frontier	frontier	NOUN
fbem-19724	76	12	,	,	PUNCT
fbem-19724	76	13	minimal	minimal	ADJ
fbem-19724	76	14	return	return	NOUN
fbem-19724	76	15	frontier	frontier	NOUN
fbem-19724	76	16	and	and	CCONJ
fbem-19724	76	17	efficient	efficient	ADJ
fbem-19724	76	18	frontier	frontier	NOUN
fbem-19724	76	19	.	.	PUNCT
fbem-19724	77	1	the	the	DET
fbem-19724	77	2	minimal	minimal	ADJ
fbem-19724	77	3	risk	risk	NOUN
fbem-19724	77	4	frontier	frontier	NOUN
fbem-19724	77	5	is	be	AUX
fbem-19724	77	6	constructed	construct	VERB
fbem-19724	77	7	by	by	ADP
fbem-19724	77	8	the	the	DET
fbem-19724	77	9	portfolios	portfolio	NOUN
fbem-19724	77	10	with	with	ADP
fbem-19724	77	11	the	the	DET
fbem-19724	77	12	lowest	low	ADJ
fbem-19724	77	13	standard	standard	ADJ
fbem-19724	77	14	deviation	deviation	NOUN
fbem-19724	77	15	when	when	SCONJ
fbem-19724	77	16	the	the	DET
fbem-19724	77	17	return	return	NOUN
fbem-19724	77	18	level	level	NOUN
fbem-19724	77	19	is	be	AUX
fbem-19724	77	20	settled	settle	VERB
fbem-19724	77	21	.	.	PUNCT
fbem-19724	78	1	the	the	DET
fbem-19724	78	2	minimal	minimal	ADJ
fbem-19724	78	3	return	return	NOUN
fbem-19724	78	4	frontier	frontier	NOUN
fbem-19724	78	5	and	and	CCONJ
fbem-19724	78	6	efficient	efficient	ADJ
fbem-19724	78	7	frontier	frontier	NOUN
fbem-19724	78	8	are	be	AUX
fbem-19724	78	9	constructed	construct	VERB
fbem-19724	78	10	by	by	ADP
fbem-19724	78	11	the	the	DET
fbem-19724	78	12	portfolios	portfolio	NOUN
fbem-19724	78	13	that	that	PRON
fbem-19724	78	14	generate	generate	VERB
fbem-19724	78	15	the	the	DET
fbem-19724	78	16	lowest	low	ADJ
fbem-19724	78	17	/	/	SYM
fbem-19724	78	18	highest	high	ADJ
fbem-19724	78	19	return	return	NOUN
fbem-19724	78	20	under	under	ADP
fbem-19724	78	21	a	a	DET
fbem-19724	78	22	given	give	VERB
fbem-19724	78	23	risk	risk	NOUN
fbem-19724	78	24	level	level	NOUN
fbem-19724	78	25	.	.	PUNCT
fbem-19724	79	1	the	the	DET
fbem-19724	79	2	intersection	intersection	NOUN
fbem-19724	79	3	point	point	NOUN
fbem-19724	79	4	of	of	ADP
fbem-19724	79	5	the	the	DET
fbem-19724	79	6	two	two	NUM
fbem-19724	79	7	frontiers	frontier	NOUN
fbem-19724	79	8	presents	present	VERB
fbem-19724	79	9	the	the	DET
fbem-19724	79	10	minimal	minimal	ADJ
fbem-19724	79	11	risk	risk	NOUN
fbem-19724	79	12	portfolio	portfolio	NOUN
fbem-19724	79	13	.	.	PUNCT
fbem-19724	80	1	and	and	CCONJ
fbem-19724	80	2	the	the	DET
fbem-19724	80	3	efficient	efficient	ADJ
fbem-19724	80	4	frontier	frontier	NOUN
fbem-19724	80	5	is	be	AUX
fbem-19724	80	6	often	often	ADV
fbem-19724	80	7	used	use	VERB
fbem-19724	80	8	to	to	PART
fbem-19724	80	9	get	get	VERB
fbem-19724	80	10	the	the	DET
fbem-19724	80	11	capital	capital	NOUN
fbem-19724	80	12	market	market	NOUN
fbem-19724	80	13	line	line	NOUN
fbem-19724	80	14	which	which	PRON
fbem-19724	80	15	is	be	AUX
fbem-19724	80	16	helpful	helpful	ADJ
fbem-19724	80	17	in	in	ADP
fbem-19724	80	18	the	the	DET
fbem-19724	80	19	generating	generating	NOUN
fbem-19724	80	20	the	the	DET
fbem-19724	80	21	191	191	NUM
fbem-19724	80	22	efficient	efficient	ADJ
fbem-19724	80	23	risky	risky	ADJ
fbem-19724	80	24	portfolio	portfolio	NOUN
fbem-19724	80	25	.	.	PUNCT
fbem-19724	81	1	minimal	minimal	ADJ
fbem-19724	81	2	risk	risk	NOUN
fbem-19724	81	3	or	or	CCONJ
fbem-19724	81	4	variance	variance	NOUN
fbem-19724	81	5	frontier	frontier	NOUN
fbem-19724	81	6	:	:	PUNCT
fbem-19724	81	7	𝜎	𝜎	PROPN
fbem-19724	81	8	𝑤	𝑤	PART
fbem-19724	81	9	𝑚𝑖𝑛	𝑚𝑖𝑛	NOUN
fbem-19724	81	10	𝑠𝑢𝑏𝑗𝑒𝑐𝑡	𝑠𝑢𝑏𝑗𝑒𝑐𝑡	NOUN
fbem-19724	81	11	𝑡𝑜	𝑡𝑜	PROPN
fbem-19724	81	12	:	:	PUNCT
fbem-19724	81	13	𝑟	𝑟	X
fbem-19724	81	14	𝑤	𝑤	X
fbem-19724	81	15	𝑐𝑜𝑛𝑠𝑡	𝑐𝑜𝑛𝑠𝑡	X
fbem-19724	81	16	minimal	minimal	ADJ
fbem-19724	81	17	return	return	NOUN
fbem-19724	81	18	frontier	frontier	NOUN
fbem-19724	81	19	:	:	PUNCT
fbem-19724	81	20	𝑟	𝑟	NOUN
fbem-19724	81	21	𝑤	𝑤	ADP
fbem-19724	81	22	𝑚𝑖𝑛	𝑚𝑖𝑛	NOUN
fbem-19724	81	23	𝑠𝑢𝑏𝑗𝑒𝑐𝑡	𝑠𝑢𝑏𝑗𝑒𝑐𝑡	NOUN
fbem-19724	81	24	𝑡𝑜	𝑡𝑜	PROPN
fbem-19724	81	25	:	:	PUNCT
fbem-19724	81	26	𝜎	𝜎	PROPN
fbem-19724	81	27	𝑤	𝑤	X
fbem-19724	81	28	𝑐𝑜𝑛𝑠𝑡	𝑐𝑜𝑛𝑠𝑡	X
fbem-19724	81	29	efficient	efficient	ADJ
fbem-19724	81	30	frontier	frontier	NOUN
fbem-19724	81	31	:	:	PUNCT
fbem-19724	81	32	𝑟	𝑟	NOUN
fbem-19724	81	33	𝑤	𝑤	ADP
fbem-19724	81	34	𝑚𝑖𝑛	𝑚𝑖𝑛	NOUN
fbem-19724	81	35	𝑠𝑢𝑏𝑗𝑒𝑐𝑡	𝑠𝑢𝑏𝑗𝑒𝑐𝑡	NOUN
fbem-19724	81	36	𝑡𝑜	𝑡𝑜	PROPN
fbem-19724	81	37	:	:	PUNCT
fbem-19724	81	38	𝜎	𝜎	PROPN
fbem-19724	81	39	𝑤	𝑤	SYM
fbem-19724	81	40	𝑐𝑜𝑛𝑠𝑡	𝑐𝑜𝑛𝑠𝑡	ADJ
fbem-19724	81	41	3.3	3.3	NUM
fbem-19724	81	42	.	.	PUNCT
fbem-19724	82	1	descriptive	descriptive	ADJ
fbem-19724	82	2	analysis	analysis	NOUN
fbem-19724	82	3	for	for	ADP
fbem-19724	82	4	practical	practical	ADJ
fbem-19724	82	5	purposes	purpose	NOUN
fbem-19724	82	6	,	,	PUNCT
fbem-19724	82	7	this	this	DET
fbem-19724	82	8	paper	paper	NOUN
fbem-19724	82	9	selected	select	VERB
fbem-19724	82	10	10	10	NUM
fbem-19724	82	11	stocks	stock	NOUN
fbem-19724	82	12	from	from	ADP
fbem-19724	82	13	the	the	DET
fbem-19724	82	14	four	four	NUM
fbem-19724	82	15	sectors	sector	NOUN
fbem-19724	82	16	of	of	ADP
fbem-19724	82	17	technology	technology	NOUN
fbem-19724	82	18	,	,	PUNCT
fbem-19724	82	19	energy	energy	NOUN
fbem-19724	82	20	,	,	PUNCT
fbem-19724	82	21	consumer	consumer	NOUN
fbem-19724	82	22	defense	defense	NOUN
fbem-19724	82	23	,	,	PUNCT
fbem-19724	82	24	and	and	CCONJ
fbem-19724	82	25	consumer	consumer	NOUN
fbem-19724	82	26	cycle	cycle	NOUN
fbem-19724	82	27	between	between	ADP
fbem-19724	82	28	may	may	PROPN
fbem-19724	82	29	11	11	NUM
fbem-19724	82	30	,	,	PUNCT
fbem-19724	82	31	2001	2001	NUM
fbem-19724	82	32	,	,	PUNCT
fbem-19724	82	33	and	and	CCONJ
fbem-19724	82	34	may	may	PROPN
fbem-19724	82	35	12	12	NUM
fbem-19724	82	36	,	,	PUNCT
fbem-19724	82	37	2021	2021	NUM
fbem-19724	82	38	,	,	PUNCT
fbem-19724	82	39	for	for	ADP
fbem-19724	82	40	a	a	DET
fbem-19724	82	41	total	total	NOUN
fbem-19724	82	42	of	of	ADP
fbem-19724	82	43	5,030	5,030	NUM
fbem-19724	82	44	trading	trading	NOUN
fbem-19724	82	45	days	day	NOUN
fbem-19724	82	46	.	.	PUNCT
fbem-19724	83	1	to	to	PART
fbem-19724	83	2	have	have	VERB
fbem-19724	83	3	a	a	DET
fbem-19724	83	4	preliminary	preliminary	ADJ
fbem-19724	83	5	study	study	NOUN
fbem-19724	83	6	on	on	ADP
fbem-19724	83	7	the	the	DET
fbem-19724	83	8	stock	stock	NOUN
fbem-19724	83	9	data	datum	NOUN
fbem-19724	83	10	,	,	PUNCT
fbem-19724	83	11	the	the	DET
fbem-19724	83	12	study	study	NOUN
fbem-19724	83	13	needs	need	VERB
fbem-19724	83	14	to	to	PART
fbem-19724	83	15	focus	focus	VERB
fbem-19724	83	16	especially	especially	ADV
fbem-19724	83	17	on	on	ADP
fbem-19724	83	18	the	the	DET
fbem-19724	83	19	historical	historical	ADJ
fbem-19724	83	20	average	average	ADJ
fbem-19724	83	21	return	return	NOUN
fbem-19724	83	22	and	and	CCONJ
fbem-19724	83	23	standard	standard	ADJ
fbem-19724	83	24	deviation	deviation	NOUN
fbem-19724	83	25	which	which	PRON
fbem-19724	83	26	measure	measure	VERB
fbem-19724	83	27	the	the	DET
fbem-19724	83	28	payoff	payoff	NOUN
fbem-19724	83	29	and	and	CCONJ
fbem-19724	83	30	risk	risk	NOUN
fbem-19724	83	31	of	of	ADP
fbem-19724	83	32	the	the	DET
fbem-19724	83	33	portfolio	portfolio	NOUN
fbem-19724	83	34	.	.	PUNCT
fbem-19724	84	1	and	and	CCONJ
fbem-19724	84	2	for	for	ADP
fbem-19724	84	3	markowitz	markowitz	PROPN
fbem-19724	84	4	model	model	PROPN
fbem-19724	84	5	,	,	PUNCT
fbem-19724	84	6	the	the	DET
fbem-19724	84	7	covariance	covariance	NOUN
fbem-19724	84	8	matrix	matrix	NOUN
fbem-19724	84	9	is	be	AUX
fbem-19724	84	10	provided	provide	VERB
fbem-19724	84	11	for	for	ADP
fbem-19724	84	12	a	a	DET
fbem-19724	84	13	direct	direct	ADJ
fbem-19724	84	14	look	look	NOUN
fbem-19724	84	15	at	at	ADP
fbem-19724	84	16	the	the	DET
fbem-19724	84	17	correlation	correlation	NOUN
fbem-19724	84	18	relationship	relationship	NOUN
fbem-19724	84	19	between	between	ADP
fbem-19724	84	20	different	different	ADJ
fbem-19724	84	21	assets	asset	NOUN
fbem-19724	84	22	and	and	CCONJ
fbem-19724	84	23	computation	computation	NOUN
fbem-19724	84	24	of	of	ADP
fbem-19724	84	25	the	the	DET
fbem-19724	84	26	portfolio	portfolio	NOUN
fbem-19724	84	27	risk	risk	NOUN
fbem-19724	84	28	.	.	PUNCT
fbem-19724	85	1	the	the	DET
fbem-19724	85	2	summary	summary	NOUN
fbem-19724	85	3	data	datum	NOUN
fbem-19724	85	4	of	of	ADP
fbem-19724	85	5	the	the	DET
fbem-19724	85	6	stocks	stock	NOUN
fbem-19724	85	7	are	be	AUX
fbem-19724	85	8	provided	provide	VERB
fbem-19724	85	9	in	in	ADP
fbem-19724	85	10	the	the	DET
fbem-19724	85	11	two	two	NUM
fbem-19724	85	12	tables	table	NOUN
fbem-19724	85	13	followed	follow	VERB
fbem-19724	85	14	.	.	PUNCT
fbem-19724	86	1	akam	akam	PROPN
fbem-19724	86	2	has	have	VERB
fbem-19724	86	3	the	the	DET
fbem-19724	86	4	highest	high	ADJ
fbem-19724	86	5	annual	annual	ADJ
fbem-19724	86	6	average	average	ADJ
fbem-19724	86	7	return	return	NOUN
fbem-19724	86	8	at	at	ADP
fbem-19724	86	9	28.1	28.1	NUM
fbem-19724	86	10	%	%	NOUN
fbem-19724	86	11	.	.	PUNCT
fbem-19724	87	1	the	the	DET
fbem-19724	87	2	stock	stock	NOUN
fbem-19724	87	3	with	with	ADP
fbem-19724	87	4	the	the	DET
fbem-19724	87	5	lowest	low	ADJ
fbem-19724	87	6	annual	annual	ADJ
fbem-19724	87	7	return	return	NOUN
fbem-19724	87	8	is	be	AUX
fbem-19724	87	9	xom	xom	PROPN
fbem-19724	87	10	at	at	ADP
fbem-19724	87	11	5.4	5.4	NUM
fbem-19724	87	12	%	%	NOUN
fbem-19724	87	13	.	.	PUNCT
fbem-19724	88	1	akam	akam	PROPN
fbem-19724	88	2	also	also	ADV
fbem-19724	88	3	has	have	VERB
fbem-19724	88	4	a	a	DET
fbem-19724	88	5	high	high	ADJ
fbem-19724	88	6	annual	annual	ADJ
fbem-19724	88	7	standard	standard	ADJ
fbem-19724	88	8	deviation	deviation	NOUN
fbem-19724	88	9	of	of	ADP
fbem-19724	88	10	63.1	63.1	NUM
fbem-19724	88	11	%	%	NOUN
fbem-19724	88	12	,	,	PUNCT
fbem-19724	88	13	indicating	indicate	VERB
fbem-19724	88	14	higher	high	ADJ
fbem-19724	88	15	volatility	volatility	NOUN
fbem-19724	88	16	.	.	PUNCT
fbem-19724	89	1	the	the	DET
fbem-19724	89	2	beta	beta	ADJ
fbem-19724	89	3	values	value	NOUN
fbem-19724	89	4	range	range	VERB
fbem-19724	89	5	from	from	ADP
fbem-19724	89	6	0.53	0.53	NUM
fbem-19724	89	7	for	for	ADP
fbem-19724	89	8	pep	pep	NOUN
fbem-19724	89	9	to	to	ADP
fbem-19724	89	10	1.65	1.65	NUM
fbem-19724	89	11	for	for	ADP
fbem-19724	89	12	akam	akam	NOUN
fbem-19724	89	13	,	,	PUNCT
fbem-19724	89	14	suggesting	suggest	VERB
fbem-19724	89	15	akam	akam	NOUN
fbem-19724	89	16	is	be	AUX
fbem-19724	89	17	more	more	ADV
fbem-19724	89	18	sensitive	sensitive	ADJ
fbem-19724	89	19	to	to	ADP
fbem-19724	89	20	market	market	NOUN
fbem-19724	89	21	movements	movement	NOUN
fbem-19724	89	22	.	.	PUNCT
fbem-19724	90	1	alpha	alpha	NOUN
fbem-19724	90	2	values	value	NOUN
fbem-19724	90	3	,	,	PUNCT
fbem-19724	90	4	which	which	PRON
fbem-19724	90	5	represent	represent	VERB
fbem-19724	90	6	the	the	DET
fbem-19724	90	7	specific	specific	ADJ
fbem-19724	90	8	risk	risk	NOUN
fbem-19724	90	9	,	,	PUNCT
fbem-19724	90	10	are	be	AUX
fbem-19724	90	11	all	all	ADV
fbem-19724	90	12	at	at	ADP
fbem-19724	90	13	a	a	DET
fbem-19724	90	14	low	low	ADJ
fbem-19724	90	15	level	level	NOUN
fbem-19724	90	16	.	.	PUNCT
fbem-19724	91	1	aside	aside	ADV
fbem-19724	91	2	from	from	ADP
fbem-19724	91	3	the	the	DET
fbem-19724	91	4	basic	basic	ADJ
fbem-19724	91	5	data	datum	NOUN
fbem-19724	91	6	of	of	ADP
fbem-19724	91	7	the	the	DET
fbem-19724	91	8	stocks	stock	NOUN
fbem-19724	91	9	,	,	PUNCT
fbem-19724	91	10	the	the	DET
fbem-19724	91	11	value	value	NOUN
fbem-19724	91	12	of	of	ADP
fbem-19724	91	13	kurtosis	kurtosis	NOUN
fbem-19724	91	14	and	and	CCONJ
fbem-19724	91	15	skewness	skewness	NOUN
fbem-19724	91	16	is	be	AUX
fbem-19724	91	17	worth	worth	ADJ
fbem-19724	91	18	looking	look	VERB
fbem-19724	91	19	as	as	ADV
fbem-19724	91	20	well	well	ADV
fbem-19724	91	21	.	.	PUNCT
fbem-19724	92	1	table	table	NOUN
fbem-19724	92	2	1	1	NUM
fbem-19724	92	3	.	.	PUNCT
fbem-19724	92	4	descriptive	descriptive	ADJ
fbem-19724	92	5	statistics	statistic	NOUN
fbem-19724	92	6	of	of	ADP
fbem-19724	92	7	the	the	DET
fbem-19724	92	8	stocks	stock	NOUN
fbem-19724	92	9	spx	spx	PROPN
fbem-19724	92	10	qcom	qcom	PROPN
fbem-19724	92	11	akam	akam	PROPN
fbem-19724	92	12	orcl	orcl	PROPN
fbem-19724	92	13	msft	msft	PROPN
fbem-19724	93	1	cvx	cvx	PROPN
fbem-19724	93	2	xom	xom	PROPN
fbem-19724	93	3	imo	imo	PROPN
fbem-19724	93	4	ko	ko	PROPN
fbem-19724	94	1	pep	pep	PROPN
fbem-19724	94	2	mcd	mcd	PROPN
fbem-19724	94	3	annual	annual	ADJ
fbem-19724	94	4	average	average	ADJ
fbem-19724	94	5	return	return	NOUN
fbem-19724	94	6	7.5	7.5	NUM
fbem-19724	94	7	%	%	NOUN
fbem-19724	94	8	13.1	13.1	NUM
fbem-19724	94	9	%	%	NOUN
fbem-19724	94	10	28.1	28.1	NUM
fbem-19724	94	11	%	%	NOUN
fbem-19724	94	12	11.1	11.1	NUM
fbem-19724	94	13	%	%	NOUN
fbem-19724	94	14	13.1	13.1	NUM
fbem-19724	94	15	%	%	NOUN
fbem-19724	94	16	8.8	8.8	NUM
fbem-19724	94	17	%	%	NOUN
fbem-19724	94	18	5.4	5.4	NUM
fbem-19724	94	19	%	%	NOUN
fbem-19724	94	20	10.9	10.9	NUM
fbem-19724	94	21	%	%	NOUN
fbem-19724	94	22	7.0	7.0	NUM
fbem-19724	94	23	%	%	NOUN
fbem-19724	94	24	7.9	7.9	NUM
fbem-19724	94	25	%	%	NOUN
fbem-19724	94	26	13.5	13.5	NUM
fbem-19724	94	27	%	%	NOUN
fbem-19724	94	28	annual	annual	ADJ
fbem-19724	94	29	stdev	stdev	NOUN
fbem-19724	94	30	14.9	14.9	NUM
fbem-19724	94	31	%	%	NOUN
fbem-19724	94	32	33.3	33.3	NUM
fbem-19724	94	33	%	%	NOUN
fbem-19724	94	34	63.1	63.1	NUM
fbem-19724	94	35	%	%	NOUN
fbem-19724	94	36	27.8	27.8	NUM
fbem-19724	94	37	%	%	NOUN
fbem-19724	94	38	23.3	23.3	NUM
fbem-19724	94	39	%	%	NOUN
fbem-19724	94	40	22.3	22.3	NUM
fbem-19724	94	41	%	%	NOUN
fbem-19724	94	42	20.8	20.8	NUM
fbem-19724	94	43	%	%	NOUN
fbem-19724	94	44	30.5	30.5	NUM
fbem-19724	94	45	%	%	NOUN
fbem-19724	94	46	16.3	16.3	NUM
fbem-19724	94	47	%	%	NOUN
fbem-19724	94	48	15.1	15.1	NUM
fbem-19724	94	49	%	%	NOUN
fbem-19724	94	50	18.7	18.7	NUM
fbem-19724	94	51	%	%	NOUN
fbem-19724	94	52	beta	beta	NOUN
fbem-19724	94	53	1.0000	1.0000	NUM
fbem-19724	94	54	1.2492	1.2492	NUM
fbem-19724	94	55	1.6550	1.6550	NUM
fbem-19724	94	56	1.0220	1.0220	NUM
fbem-19724	94	57	1.0022	1.0022	NUM
fbem-19724	94	58	0.9206	0.9206	NUM
fbem-19724	94	59	0.7944	0.7944	NUM
fbem-19724	94	60	1.0722	1.0722	NUM
fbem-19724	94	61	0.5378	0.5378	NUM
fbem-19724	94	62	0.5300	0.5300	NUM
fbem-19724	94	63	0.6754	0.6754	NUM
fbem-19724	94	64	alpha	alpha	NOUN
fbem-19724	94	65	0.0000	0.0000	NUM
fbem-19724	94	66	0.0365	0.0365	NUM
fbem-19724	94	67	0.1565	0.1565	NUM
fbem-19724	94	68	0.0341	0.0341	NUM
fbem-19724	94	69	0.0559	0.0559	NUM
fbem-19724	94	70	0.0184	0.0184	NUM
fbem-19724	94	71	-0.0063	-0.0063	PUNCT
fbem-19724	95	1	0.0286	0.0286	NUM
fbem-19724	95	2	0.0298	0.0298	NUM
fbem-19724	95	3	0.0389	0.0389	NUM
fbem-19724	95	4	0.0836	0.0836	NUM
fbem-19724	95	5	residual	residual	ADJ
fbem-19724	95	6	stdev	stdev	NOUN
fbem-19724	95	7	0.0	0.0	NUM
fbem-19724	95	8	%	%	NOUN
fbem-19724	95	9	27.6	27.6	NUM
fbem-19724	95	10	%	%	NOUN
fbem-19724	95	11	58.1	58.1	NUM
fbem-19724	95	12	%	%	NOUN
fbem-19724	95	13	23.3	23.3	NUM
fbem-19724	95	14	%	%	NOUN
fbem-19724	95	15	17.9	17.9	NUM
fbem-19724	95	16	%	%	NOUN
fbem-19724	95	17	17.6	17.6	NUM
fbem-19724	95	18	%	%	NOUN
fbem-19724	95	19	17.1	17.1	NUM
fbem-19724	95	20	%	%	NOUN
fbem-19724	95	21	26.0	26.0	NUM
fbem-19724	95	22	%	%	NOUN
fbem-19724	95	23	14.2	14.2	NUM
fbem-19724	95	24	%	%	NOUN
fbem-19724	95	25	12.9	12.9	NUM
fbem-19724	95	26	%	%	NOUN
fbem-19724	95	27	15.7	15.7	NUM
fbem-19724	95	28	%	%	NOUN
fbem-19724	95	29	skewness	skewness	NOUN
fbem-19724	95	30	-0.18	-0.18	NUM
fbem-19724	95	31	0.42	0.42	NUM
fbem-19724	95	32	1.48	1.48	NUM
fbem-19724	95	33	0.45	0.45	NUM
fbem-19724	95	34	0.26	0.26	NUM
fbem-19724	95	35	0.12	0.12	NUM
fbem-19724	95	36	0.26	0.26	NUM
fbem-19724	95	37	-0.16	-0.16	NUM
fbem-19724	95	38	-0.02	-0.02	NUM
fbem-19724	95	39	0.22	0.22	NUM
fbem-19724	95	40	0.18	0.18	NUM
fbem-19724	95	41	kurtosis	kurtosis	NOUN
fbem-19724	95	42	12.37	12.37	NUM
fbem-19724	95	43	8.57	8.57	NUM
fbem-19724	95	44	17.27	17.27	NUM
fbem-19724	95	45	8.22	8.22	NUM
fbem-19724	95	46	9.36	9.36	NUM
fbem-19724	95	47	23.42	23.42	NUM
fbem-19724	95	48	12.14	12.14	NUM
fbem-19724	95	49	12.76	12.76	NUM
fbem-19724	95	50	11.74	11.74	NUM
fbem-19724	95	51	20.34	20.34	NUM
fbem-19724	95	52	15.55	15.55	NUM
fbem-19724	95	53	in	in	ADP
fbem-19724	95	54	the	the	DET
fbem-19724	95	55	process	process	NOUN
fbem-19724	95	56	of	of	ADP
fbem-19724	95	57	deriving	derive	VERB
fbem-19724	95	58	the	the	DET
fbem-19724	95	59	numerical	numerical	ADJ
fbem-19724	95	60	characteristics	characteristic	NOUN
fbem-19724	95	61	of	of	ADP
fbem-19724	95	62	the	the	DET
fbem-19724	95	63	stock	stock	NOUN
fbem-19724	95	64	prices	price	NOUN
fbem-19724	95	65	,	,	PUNCT
fbem-19724	95	66	this	this	DET
fbem-19724	95	67	paper	paper	NOUN
fbem-19724	95	68	can	can	AUX
fbem-19724	95	69	also	also	ADV
fbem-19724	95	70	find	find	VERB
fbem-19724	95	71	an	an	DET
fbem-19724	95	72	interesting	interesting	ADJ
fbem-19724	95	73	phenomenon	phenomenon	NOUN
fbem-19724	95	74	on	on	ADP
fbem-19724	95	75	the	the	DET
fbem-19724	95	76	distribution	distribution	NOUN
fbem-19724	95	77	of	of	ADP
fbem-19724	95	78	the	the	DET
fbem-19724	95	79	stock	stock	NOUN
fbem-19724	95	80	price	price	NOUN
fbem-19724	95	81	the	the	DET
fbem-19724	95	82	classic	classic	ADJ
fbem-19724	95	83	“	"	PUNCT
fbem-19724	95	84	high	high	ADJ
fbem-19724	95	85	kurtosis	kurtosis	NOUN
fbem-19724	95	86	and	and	CCONJ
fbem-19724	95	87	fat	fat	ADJ
fbem-19724	95	88	-	-	PUNCT
fbem-19724	95	89	tailed	tailed	ADJ
fbem-19724	95	90	”	"	PUNCT
fbem-19724	95	91	shape	shape	NOUN
fbem-19724	95	92	.	.	PUNCT
fbem-19724	96	1	it	it	PRON
fbem-19724	96	2	is	be	AUX
fbem-19724	96	3	a	a	DET
fbem-19724	96	4	common	common	ADJ
fbem-19724	96	5	phenomenon	phenomenon	NOUN
fbem-19724	96	6	which	which	PRON
fbem-19724	96	7	could	could	AUX
fbem-19724	96	8	be	be	AUX
fbem-19724	96	9	observed	observe	VERB
fbem-19724	96	10	on	on	ADP
fbem-19724	96	11	the	the	DET
fbem-19724	96	12	financial	financial	ADJ
fbem-19724	96	13	market	market	NOUN
fbem-19724	96	14	.	.	PUNCT
fbem-19724	97	1	figure	figure	NOUN
fbem-19724	97	2	2	2	NUM
fbem-19724	97	3	.	.	PUNCT
fbem-19724	98	1	the	the	DET
fbem-19724	98	2	distribution	distribution	NOUN
fbem-19724	98	3	of	of	ADP
fbem-19724	98	4	stock	stock	NOUN
fbem-19724	98	5	price	price	NOUN
fbem-19724	98	6	compared	compare	VERB
fbem-19724	98	7	to	to	ADP
fbem-19724	98	8	the	the	DET
fbem-19724	98	9	gaussian	gaussian	ADJ
fbem-19724	98	10	distribution	distribution	NOUN
fbem-19724	98	11	fat	fat	NOUN
fbem-19724	98	12	tails	tail	NOUN
fbem-19724	98	13	are	be	AUX
fbem-19724	98	14	often	often	ADV
fbem-19724	98	15	observed	observe	VERB
fbem-19724	98	16	in	in	ADP
fbem-19724	98	17	financial	financial	ADJ
fbem-19724	98	18	markets	market	NOUN
fbem-19724	98	19	due	due	ADJ
fbem-19724	98	20	to	to	ADP
fbem-19724	98	21	various	various	ADJ
fbem-19724	98	22	factors	factor	NOUN
fbem-19724	98	23	,	,	PUNCT
fbem-19724	98	24	including	include	VERB
fbem-19724	98	25	:	:	PUNCT
fbem-19724	98	26	market	market	NOUN
fbem-19724	98	27	sentiment	sentiment	NOUN
fbem-19724	98	28	:	:	PUNCT
fbem-19724	98	29	behavioral	behavioral	ADJ
fbem-19724	98	30	factors	factor	NOUN
fbem-19724	98	31	and	and	CCONJ
fbem-19724	98	32	market	market	NOUN
fbem-19724	98	33	sentiment	sentiment	NOUN
fbem-19724	98	34	can	can	AUX
fbem-19724	98	35	lead	lead	VERB
fbem-19724	98	36	to	to	ADP
fbem-19724	98	37	rapid	rapid	ADJ
fbem-19724	98	38	and	and	CCONJ
fbem-19724	98	39	exaggerated	exaggerated	ADJ
fbem-19724	98	40	movements	movement	NOUN
fbem-19724	98	41	in	in	ADP
fbem-19724	98	42	stock	stock	NOUN
fbem-19724	98	43	prices	price	NOUN
fbem-19724	98	44	.	.	PUNCT
fbem-19724	99	1	unforeseen	unforeseen	ADJ
fbem-19724	99	2	events	event	NOUN
fbem-19724	99	3	:	:	PUNCT
fbem-19724	99	4	unexpected	unexpected	ADJ
fbem-19724	99	5	news	news	NOUN
fbem-19724	99	6	,	,	PUNCT
fbem-19724	99	7	geopolitical	geopolitical	ADJ
fbem-19724	99	8	events	event	NOUN
fbem-19724	99	9	,	,	PUNCT
fbem-19724	99	10	or	or	CCONJ
fbem-19724	99	11	other	other	ADJ
fbem-19724	99	12	unforeseen	unforeseen	ADJ
fbem-19724	99	13	factors	factor	NOUN
fbem-19724	99	14	can	can	AUX
fbem-19724	99	15	trigger	trigger	VERB
fbem-19724	99	16	significant	significant	ADJ
fbem-19724	99	17	price	price	NOUN
fbem-19724	99	18	changes	change	NOUN
fbem-19724	99	19	.	.	PUNCT
fbem-19724	100	1	liquidity	liquidity	NOUN
fbem-19724	100	2	shocks	shock	NOUN
fbem-19724	100	3	:	:	PUNCT
fbem-19724	100	4	sudden	sudden	ADJ
fbem-19724	100	5	changes	change	NOUN
fbem-19724	100	6	in	in	ADP
fbem-19724	100	7	liquidity	liquidity	NOUN
fbem-19724	100	8	conditions	condition	NOUN
fbem-19724	100	9	can	can	AUX
fbem-19724	100	10	exacerbate	exacerbate	VERB
fbem-19724	100	11	price	price	NOUN
fbem-19724	100	12	movements	movement	NOUN
fbem-19724	100	13	,	,	PUNCT
fbem-19724	100	14	especially	especially	ADV
fbem-19724	100	15	in	in	ADP
fbem-19724	100	16	less	less	ADJ
fbem-19724	100	17	liquid	liquid	ADJ
fbem-19724	100	18	markets	market	NOUN
fbem-19724	100	19	.	.	PUNCT
fbem-19724	101	1	market	market	NOUN
fbem-19724	101	2	dynamics	dynamic	NOUN
fbem-19724	101	3	:	:	PUNCT
fbem-19724	101	4	interactions	interaction	NOUN
fbem-19724	101	5	between	between	ADP
fbem-19724	101	6	market	market	NOUN
fbem-19724	101	7	participants	participant	NOUN
fbem-19724	101	8	,	,	PUNCT
fbem-19724	101	9	algorithmic	algorithmic	ADJ
fbem-19724	101	10	trading	trading	NOUN
fbem-19724	101	11	,	,	PUNCT
fbem-19724	101	12	and	and	CCONJ
fbem-19724	101	13	complex	complex	ADJ
fbem-19724	101	14	financial	financial	ADJ
fbem-19724	101	15	instruments	instrument	NOUN
fbem-19724	101	16	can	can	AUX
fbem-19724	101	17	contribute	contribute	VERB
fbem-19724	101	18	to	to	ADP
fbem-19724	101	19	nonlinear	nonlinear	ADJ
fbem-19724	101	20	price	price	NOUN
fbem-19724	101	21	behavior	behavior	NOUN
fbem-19724	101	22	.	.	PUNCT
fbem-19724	102	1	the	the	DET
fbem-19724	102	2	second	second	ADJ
fbem-19724	102	3	table	table	NOUN
fbem-19724	102	4	presents	present	VERB
fbem-19724	102	5	the	the	DET
fbem-19724	102	6	correlation	correlation	NOUN
fbem-19724	102	7	coefficients	coefficient	NOUN
fbem-19724	102	8	between	between	ADP
fbem-19724	102	9	the	the	DET
fbem-19724	102	10	stocks	stock	NOUN
fbem-19724	102	11	and	and	CCONJ
fbem-19724	102	12	s&p	s&p	PROPN
fbem-19724	102	13	500	500	NUM
fbem-19724	102	14	index	index	NOUN
fbem-19724	102	15	is	be	AUX
fbem-19724	102	16	used	use	VERB
fbem-19724	102	17	as	as	ADP
fbem-19724	102	18	a	a	DET
fbem-19724	102	19	benchmark	benchmark	NOUN
fbem-19724	102	20	.	.	PUNCT
fbem-19724	103	1	the	the	DET
fbem-19724	103	2	correlations	correlation	NOUN
fbem-19724	103	3	between	between	ADP
fbem-19724	103	4	spx	spx	PROPN
fbem-19724	103	5	and	and	CCONJ
fbem-19724	103	6	other	other	ADJ
fbem-19724	103	7	stocks	stock	NOUN
fbem-19724	103	8	vary	vary	VERB
fbem-19724	103	9	,	,	PUNCT
fbem-19724	103	10	with	with	ADP
fbem-19724	103	11	the	the	DET
fbem-19724	103	12	highest	high	ADJ
fbem-19724	103	13	correlation	correlation	NOUN
fbem-19724	103	14	being	be	AUX
fbem-19724	103	15	73.3	73.3	NUM
fbem-19724	103	16	%	%	NOUN
fbem-19724	103	17	with	with	ADP
fbem-19724	103	18	msft	msft	NOUN
fbem-19724	103	19	,	,	PUNCT
fbem-19724	103	20	and	and	CCONJ
fbem-19724	103	21	the	the	DET
fbem-19724	103	22	lowest	low	ADJ
fbem-19724	103	23	192	192	NUM
fbem-19724	103	24	being	be	AUX
fbem-19724	103	25	53.9	53.9	NUM
fbem-19724	103	26	%	%	NOUN
fbem-19724	103	27	with	with	ADP
fbem-19724	103	28	imo	imo	PROPN
fbem-19724	103	29	.	.	PUNCT
fbem-19724	103	30	table	table	NOUN
fbem-19724	103	31	2	2	NUM
fbem-19724	103	32	.	.	PUNCT
fbem-19724	103	33	correlation	correlation	NOUN
fbem-19724	103	34	coefficient	coefficient	NOUN
fbem-19724	103	35	matrix	matrix	NOUN
fbem-19724	103	36	of	of	ADP
fbem-19724	103	37	the	the	DET
fbem-19724	103	38	stocks	stock	NOUN
fbem-19724	103	39	spx	spx	PROPN
fbem-19724	103	40	qcom	qcom	PROPN
fbem-19724	103	41	akam	akam	PROPN
fbem-19724	103	42	orcl	orcl	PROPN
fbem-19724	103	43	msft	msft	PROPN
fbem-19724	104	1	cvx	cvx	PROPN
fbem-19724	105	1	xom	xom	PROPN
fbem-19724	106	1	imo	imo	PROPN
fbem-19724	106	2	ko	ko	PROPN
fbem-19724	106	3	pep	pep	PROPN
fbem-19724	106	4	mcd	mcd	PROPN
fbem-19724	106	5	spx	spx	PROPN
fbem-19724	106	6	100.0	100.0	NUM
fbem-19724	106	7	%	%	NOUN
fbem-19724	106	8	60.9	60.9	NUM
fbem-19724	106	9	%	%	NOUN
fbem-19724	106	10	46.3	46.3	NUM
fbem-19724	106	11	%	%	NOUN
fbem-19724	106	12	64.8	64.8	NUM
fbem-19724	106	13	%	%	NOUN
fbem-19724	106	14	73.3	73.3	NUM
fbem-19724	106	15	%	%	NOUN
fbem-19724	106	16	71.5	71.5	NUM
fbem-19724	106	17	%	%	NOUN
fbem-19724	106	18	71.9	71.9	NUM
fbem-19724	106	19	%	%	NOUN
fbem-19724	106	20	53.9	53.9	NUM
fbem-19724	106	21	%	%	NOUN
fbem-19724	106	22	59.5	59.5	NUM
fbem-19724	106	23	%	%	NOUN
fbem-19724	106	24	59.4	59.4	NUM
fbem-19724	106	25	%	%	NOUN
fbem-19724	106	26	55.9	55.9	NUM
fbem-19724	106	27	%	%	NOUN
fbem-19724	106	28	wfc	wfc	PROPN
fbem-19724	106	29	60.9	60.9	NUM
fbem-19724	106	30	%	%	NOUN
fbem-19724	106	31	100.0	100.0	NUM
fbem-19724	106	32	%	%	NOUN
fbem-19724	106	33	34.1	34.1	NUM
fbem-19724	106	34	%	%	NOUN
fbem-19724	106	35	46.8	46.8	NUM
fbem-19724	106	36	%	%	NOUN
fbem-19724	106	37	51.2	51.2	NUM
fbem-19724	106	38	%	%	NOUN
fbem-19724	106	39	38.5	38.5	NUM
fbem-19724	106	40	%	%	NOUN
fbem-19724	106	41	39.7	39.7	NUM
fbem-19724	106	42	%	%	NOUN
fbem-19724	106	43	28.9	28.9	NUM
fbem-19724	106	44	%	%	NOUN
fbem-19724	106	45	30.4	30.4	NUM
fbem-19724	106	46	%	%	NOUN
fbem-19724	106	47	31.8	31.8	NUM
fbem-19724	106	48	%	%	NOUN
fbem-19724	106	49	32.2	32.2	NUM
fbem-19724	106	50	%	%	NOUN
fbem-19724	106	51	luv	luv	ADJ
fbem-19724	106	52	46.3	46.3	NUM
fbem-19724	106	53	%	%	NOUN
fbem-19724	106	54	34.1	34.1	NUM
fbem-19724	106	55	%	%	NOUN
fbem-19724	106	56	100.0	100.0	NUM
fbem-19724	106	57	%	%	NOUN
fbem-19724	106	58	38.0	38.0	NUM
fbem-19724	106	59	%	%	NOUN
fbem-19724	106	60	36.7	36.7	NUM
fbem-19724	106	61	%	%	NOUN
fbem-19724	106	62	25.1	25.1	NUM
fbem-19724	106	63	%	%	NOUN
fbem-19724	106	64	25.1	25.1	NUM
fbem-19724	106	65	%	%	NOUN
fbem-19724	106	66	20.6	20.6	NUM
fbem-19724	106	67	%	%	NOUN
fbem-19724	106	68	20.8	20.8	NUM
fbem-19724	106	69	%	%	NOUN
fbem-19724	106	70	20.6	20.6	NUM
fbem-19724	106	71	%	%	NOUN
fbem-19724	106	72	23.8	23.8	NUM
fbem-19724	106	73	%	%	NOUN
fbem-19724	106	74	pgr	pgr	NOUN
fbem-19724	106	75	64.8	64.8	NUM
fbem-19724	106	76	%	%	NOUN
fbem-19724	106	77	46.8	46.8	NUM
fbem-19724	106	78	%	%	NOUN
fbem-19724	106	79	38.0	38.0	NUM
fbem-19724	106	80	%	%	NOUN
fbem-19724	106	81	100.0	100.0	NUM
fbem-19724	106	82	%	%	NOUN
fbem-19724	106	83	57.5	57.5	NUM
fbem-19724	106	84	%	%	NOUN
fbem-19724	106	85	39.3	39.3	NUM
fbem-19724	106	86	%	%	NOUN
fbem-19724	106	87	40.6	40.6	NUM
fbem-19724	106	88	%	%	NOUN
fbem-19724	106	89	28.7	28.7	NUM
fbem-19724	106	90	%	%	NOUN
fbem-19724	106	91	35.7	35.7	NUM
fbem-19724	106	92	%	%	NOUN
fbem-19724	106	93	36.3	36.3	NUM
fbem-19724	106	94	%	%	NOUN
fbem-19724	106	95	33.6	33.6	NUM
fbem-19724	106	96	%	%	NOUN
fbem-19724	106	97	lstr	lstr	NOUN
fbem-19724	106	98	73.3	73.3	NUM
fbem-19724	106	99	%	%	NOUN
fbem-19724	106	100	51.2	51.2	NUM
fbem-19724	106	101	%	%	NOUN
fbem-19724	106	102	36.7	36.7	NUM
fbem-19724	106	103	%	%	NOUN
fbem-19724	106	104	57.5	57.5	NUM
fbem-19724	106	105	%	%	NOUN
fbem-19724	106	106	100.0	100.0	NUM
fbem-19724	106	107	%	%	NOUN
fbem-19724	106	108	46.0	46.0	NUM
fbem-19724	106	109	%	%	NOUN
fbem-19724	106	110	46.5	46.5	NUM
fbem-19724	106	111	%	%	NOUN
fbem-19724	106	112	33.4	33.4	NUM
fbem-19724	106	113	%	%	NOUN
fbem-19724	106	114	42.5	42.5	NUM
fbem-19724	106	115	%	%	NOUN
fbem-19724	106	116	43.4	43.4	NUM
fbem-19724	106	117	%	%	NOUN
fbem-19724	106	118	40.3	40.3	NUM
fbem-19724	106	119	%	%	NOUN
fbem-19724	106	120	csco	csco	NOUN
fbem-19724	106	121	71.5	71.5	NUM
fbem-19724	106	122	%	%	NOUN
fbem-19724	106	123	38.5	38.5	NUM
fbem-19724	106	124	%	%	NOUN
fbem-19724	106	125	25.1	25.1	NUM
fbem-19724	106	126	%	%	NOUN
fbem-19724	106	127	39.3	39.3	NUM
fbem-19724	106	128	%	%	NOUN
fbem-19724	106	129	46.0	46.0	NUM
fbem-19724	106	130	%	%	NOUN
fbem-19724	106	131	100.0	100.0	NUM
fbem-19724	106	132	%	%	NOUN
fbem-19724	106	133	84.7	84.7	NUM
fbem-19724	106	134	%	%	NOUN
fbem-19724	106	135	68.9	68.9	NUM
fbem-19724	106	136	%	%	NOUN
fbem-19724	106	137	44.8	44.8	NUM
fbem-19724	106	138	%	%	NOUN
fbem-19724	106	139	42.3	42.3	NUM
fbem-19724	106	140	%	%	NOUN
fbem-19724	106	141	41.5	41.5	NUM
fbem-19724	106	142	%	%	NOUN
fbem-19724	106	143	td	td	NOUN
fbem-19724	106	144	cn	cn	PROPN
fbem-19724	106	145	71.9	71.9	NUM
fbem-19724	106	146	%	%	NOUN
fbem-19724	106	147	39.7	39.7	NUM
fbem-19724	106	148	%	%	NOUN
fbem-19724	106	149	25.1	25.1	NUM
fbem-19724	106	150	%	%	NOUN
fbem-19724	106	151	40.6	40.6	NUM
fbem-19724	106	152	%	%	NOUN
fbem-19724	106	153	46.5	46.5	NUM
fbem-19724	106	154	%	%	NOUN
fbem-19724	106	155	84.7	84.7	NUM
fbem-19724	106	156	%	%	NOUN
fbem-19724	106	157	100.0	100.0	NUM
fbem-19724	106	158	%	%	NOUN
fbem-19724	106	159	65.0	65.0	NUM
fbem-19724	106	160	%	%	NOUN
fbem-19724	106	161	47.4	47.4	NUM
fbem-19724	106	162	%	%	NOUN
fbem-19724	106	163	44.9	44.9	NUM
fbem-19724	106	164	%	%	NOUN
fbem-19724	106	165	39.8	39.8	NUM
fbem-19724	106	166	%	%	NOUN
fbem-19724	106	167	pg	pg	NOUN
fbem-19724	106	168	53.9	53.9	NUM
fbem-19724	106	169	%	%	NOUN
fbem-19724	106	170	28.9	28.9	NUM
fbem-19724	106	171	%	%	NOUN
fbem-19724	106	172	20.6	20.6	NUM
fbem-19724	106	173	%	%	NOUN
fbem-19724	106	174	28.7	28.7	NUM
fbem-19724	106	175	%	%	NOUN
fbem-19724	106	176	33.4	33.4	NUM
fbem-19724	106	177	%	%	NOUN
fbem-19724	106	178	68.9	68.9	NUM
fbem-19724	106	179	%	%	NOUN
fbem-19724	106	180	65.0	65.0	NUM
fbem-19724	106	181	%	%	NOUN
fbem-19724	106	182	100.0	100.0	NUM
fbem-19724	106	183	%	%	NOUN
fbem-19724	106	184	33.1	33.1	NUM
fbem-19724	106	185	%	%	NOUN
fbem-19724	106	186	27.4	27.4	NUM
fbem-19724	106	187	%	%	NOUN
fbem-19724	106	188	30.5	30.5	NUM
fbem-19724	106	189	%	%	NOUN
fbem-19724	106	190	msft	msft	NOUN
fbem-19724	106	191	59.5	59.5	NUM
fbem-19724	106	192	%	%	NOUN
fbem-19724	106	193	30.4	30.4	NUM
fbem-19724	106	194	%	%	NOUN
fbem-19724	106	195	20.8	20.8	NUM
fbem-19724	106	196	%	%	NOUN
fbem-19724	106	197	35.7	35.7	NUM
fbem-19724	106	198	%	%	NOUN
fbem-19724	106	199	42.5	42.5	NUM
fbem-19724	106	200	%	%	NOUN
fbem-19724	106	201	44.8	44.8	NUM
fbem-19724	106	202	%	%	NOUN
fbem-19724	106	203	47.4	47.4	NUM
fbem-19724	106	204	%	%	NOUN
fbem-19724	106	205	33.1	33.1	NUM
fbem-19724	106	206	%	%	NOUN
fbem-19724	106	207	100.0	100.0	NUM
fbem-19724	106	208	%	%	NOUN
fbem-19724	106	209	64.1	64.1	NUM
fbem-19724	106	210	%	%	NOUN
fbem-19724	106	211	40.3	40.3	NUM
fbem-19724	106	212	%	%	NOUN
fbem-19724	106	213	ko	ko	PROPN
fbem-19724	106	214	59.4	59.4	NUM
fbem-19724	106	215	%	%	NOUN
fbem-19724	106	216	31.8	31.8	NUM
fbem-19724	106	217	%	%	NOUN
fbem-19724	106	218	20.6	20.6	NUM
fbem-19724	106	219	%	%	NOUN
fbem-19724	106	220	36.3	36.3	NUM
fbem-19724	106	221	%	%	NOUN
fbem-19724	106	222	43.4	43.4	NUM
fbem-19724	106	223	%	%	NOUN
fbem-19724	106	224	42.3	42.3	NUM
fbem-19724	106	225	%	%	NOUN
fbem-19724	106	226	44.9	44.9	NUM
fbem-19724	106	227	%	%	NOUN
fbem-19724	106	228	27.4	27.4	NUM
fbem-19724	106	229	%	%	NOUN
fbem-19724	106	230	64.1	64.1	NUM
fbem-19724	106	231	%	%	NOUN
fbem-19724	106	232	100.0	100.0	NUM
fbem-19724	106	233	%	%	NOUN
fbem-19724	106	234	39.7	39.7	NUM
fbem-19724	106	235	%	%	NOUN
fbem-19724	106	236	mcd	mcd	NOUN
fbem-19724	106	237	55.9	55.9	NUM
fbem-19724	106	238	%	%	NOUN
fbem-19724	106	239	32.2	32.2	NUM
fbem-19724	106	240	%	%	NOUN
fbem-19724	106	241	23.8	23.8	NUM
fbem-19724	106	242	%	%	NOUN
fbem-19724	106	243	33.6	33.6	NUM
fbem-19724	106	244	%	%	NOUN
fbem-19724	106	245	40.3	40.3	NUM
fbem-19724	106	246	%	%	NOUN
fbem-19724	106	247	41.5	41.5	NUM
fbem-19724	106	248	%	%	NOUN
fbem-19724	106	249	39.8	39.8	NUM
fbem-19724	106	250	%	%	NOUN
fbem-19724	106	251	30.5	30.5	NUM
fbem-19724	106	252	%	%	NOUN
fbem-19724	106	253	40.3	40.3	NUM
fbem-19724	106	254	%	%	NOUN
fbem-19724	106	255	39.7	39.7	NUM
fbem-19724	106	256	%	%	NOUN
fbem-19724	106	257	100.0	100.0	NUM
fbem-19724	106	258	%	%	NOUN
fbem-19724	106	259	4	4	NUM
fbem-19724	106	260	.	.	PUNCT
fbem-19724	106	261	data	datum	NOUN
fbem-19724	106	262	analysis	analysis	NOUN
fbem-19724	106	263	with	with	ADP
fbem-19724	106	264	the	the	DET
fbem-19724	106	265	goal	goal	NOUN
fbem-19724	106	266	of	of	ADP
fbem-19724	106	267	finding	find	VERB
fbem-19724	106	268	the	the	DET
fbem-19724	106	269	better	well	ADJ
fbem-19724	106	270	model	model	NOUN
fbem-19724	106	271	in	in	ADP
fbem-19724	106	272	selecting	select	VERB
fbem-19724	106	273	better	well	ADJ
fbem-19724	106	274	portfolio	portfolio	NOUN
fbem-19724	106	275	to	to	PART
fbem-19724	106	276	satisfy	satisfy	VERB
fbem-19724	106	277	investors	investor	NOUN
fbem-19724	106	278	’	'	PUNCT
fbem-19724	106	279	demand	demand	NOUN
fbem-19724	106	280	.	.	PUNCT
fbem-19724	107	1	this	this	DET
fbem-19724	107	2	paper	paper	NOUN
fbem-19724	107	3	should	should	AUX
fbem-19724	107	4	concentrate	concentrate	VERB
fbem-19724	107	5	on	on	ADP
fbem-19724	107	6	3	3	NUM
fbem-19724	107	7	important	important	ADJ
fbem-19724	107	8	values	value	NOUN
fbem-19724	107	9	,	,	PUNCT
fbem-19724	107	10	which	which	PRON
fbem-19724	107	11	are	be	AUX
fbem-19724	107	12	average	average	ADJ
fbem-19724	107	13	return	return	NOUN
fbem-19724	107	14	,	,	PUNCT
fbem-19724	107	15	variance	variance	NOUN
fbem-19724	107	16	,	,	PUNCT
fbem-19724	107	17	and	and	CCONJ
fbem-19724	107	18	sharpe	sharpe	PROPN
fbem-19724	107	19	ratio	ratio	NOUN
fbem-19724	107	20	.	.	PUNCT
fbem-19724	108	1	and	and	CCONJ
fbem-19724	108	2	this	this	DET
fbem-19724	108	3	paper	paper	NOUN
fbem-19724	108	4	also	also	ADV
fbem-19724	108	5	should	should	AUX
fbem-19724	108	6	not	not	PART
fbem-19724	108	7	ignore	ignore	VERB
fbem-19724	108	8	the	the	DET
fbem-19724	108	9	complexity	complexity	NOUN
fbem-19724	108	10	of	of	ADP
fbem-19724	108	11	computation	computation	NOUN
fbem-19724	108	12	,	,	PUNCT
fbem-19724	108	13	because	because	SCONJ
fbem-19724	108	14	more	more	ADJ
fbem-19724	108	15	data	datum	NOUN
fbem-19724	108	16	sometimes	sometimes	ADV
fbem-19724	108	17	brings	bring	VERB
fbem-19724	108	18	in	in	ADP
fbem-19724	108	19	more	more	ADJ
fbem-19724	108	20	errors	error	NOUN
fbem-19724	108	21	[	[	X
fbem-19724	108	22	9	9	NUM
fbem-19724	108	23	]	]	SYM
fbem-19724	108	24	.	.	PUNCT
fbem-19724	109	1	4.1	4.1	NUM
fbem-19724	109	2	.	.	PUNCT
fbem-19724	109	3	permissible	permissible	ADJ
fbem-19724	109	4	portfolios	portfolio	NOUN
fbem-19724	109	5	region	region	VERB
fbem-19724	109	6	the	the	DET
fbem-19724	109	7	permissible	permissible	ADJ
fbem-19724	109	8	portfolio	portfolio	NOUN
fbem-19724	109	9	region	region	NOUN
fbem-19724	109	10	is	be	AUX
fbem-19724	109	11	a	a	DET
fbem-19724	109	12	region	region	NOUN
fbem-19724	109	13	which	which	PRON
fbem-19724	109	14	could	could	AUX
fbem-19724	109	15	directly	directly	ADV
fbem-19724	109	16	show	show	VERB
fbem-19724	109	17	the	the	DET
fbem-19724	109	18	indicators	indicator	NOUN
fbem-19724	109	19	and	and	CCONJ
fbem-19724	109	20	factors	factor	NOUN
fbem-19724	109	21	focused	focus	VERB
fbem-19724	109	22	by	by	ADP
fbem-19724	109	23	the	the	DET
fbem-19724	109	24	investors	investor	NOUN
fbem-19724	109	25	.	.	PUNCT
fbem-19724	110	1	the	the	DET
fbem-19724	110	2	region	region	NOUN
fbem-19724	110	3	includes	include	VERB
fbem-19724	110	4	minimal	minimal	ADJ
fbem-19724	110	5	risk	risk	NOUN
fbem-19724	110	6	frontier	frontier	NOUN
fbem-19724	110	7	,	,	PUNCT
fbem-19724	110	8	minimal	minimal	ADJ
fbem-19724	110	9	risk	risk	NOUN
fbem-19724	110	10	portfolio	portfolio	NOUN
fbem-19724	110	11	,	,	PUNCT
fbem-19724	110	12	maximal	maximal	ADJ
fbem-19724	110	13	sharpe	sharpe	PROPN
fbem-19724	110	14	ratio	ratio	PROPN
fbem-19724	110	15	point	point	NOUN
fbem-19724	110	16	,	,	PUNCT
fbem-19724	110	17	efficient	efficient	ADJ
fbem-19724	110	18	frontier	frontier	NOUN
fbem-19724	110	19	,	,	PUNCT
fbem-19724	110	20	and	and	CCONJ
fbem-19724	110	21	minimal	minimal	ADJ
fbem-19724	110	22	return	return	NOUN
fbem-19724	110	23	frontier	frontier	NOUN
fbem-19724	110	24	.	.	PUNCT
fbem-19724	111	1	to	to	PART
fbem-19724	111	2	generate	generate	VERB
fbem-19724	111	3	the	the	DET
fbem-19724	111	4	frontiers	frontier	NOUN
fbem-19724	111	5	,	,	PUNCT
fbem-19724	111	6	this	this	DET
fbem-19724	111	7	paper	paper	NOUN
fbem-19724	111	8	used	use	VERB
fbem-19724	111	9	excel	excel	VERB
fbem-19724	111	10	to	to	PART
fbem-19724	111	11	generate	generate	VERB
fbem-19724	111	12	a	a	DET
fbem-19724	111	13	set	set	NOUN
fbem-19724	111	14	of	of	ADP
fbem-19724	111	15	uniformly	uniformly	ADV
fbem-19724	111	16	distributed	distribute	VERB
fbem-19724	111	17	value	value	NOUN
fbem-19724	111	18	to	to	PART
fbem-19724	111	19	represent	represent	VERB
fbem-19724	111	20	reasonable	reasonable	ADJ
fbem-19724	111	21	risk	risk	NOUN
fbem-19724	111	22	level	level	NOUN
fbem-19724	111	23	and	and	CCONJ
fbem-19724	111	24	calculated	calculate	VERB
fbem-19724	111	25	the	the	DET
fbem-19724	111	26	corresponding	corresponding	ADJ
fbem-19724	111	27	maximum	maximum	ADJ
fbem-19724	111	28	/	/	SYM
fbem-19724	111	29	minimum	minimum	ADJ
fbem-19724	111	30	return	return	NOUN
fbem-19724	111	31	under	under	ADP
fbem-19724	111	32	that	that	DET
fbem-19724	111	33	risk	risk	NOUN
fbem-19724	111	34	.	.	PUNCT
fbem-19724	112	1	the	the	DET
fbem-19724	112	2	points	point	NOUN
fbem-19724	112	3	of	of	ADP
fbem-19724	112	4	maximal	maximal	ADJ
fbem-19724	112	5	sharpe	sharpe	NOUN
fbem-19724	112	6	ratio	ratio	NOUN
fbem-19724	112	7	and	and	CCONJ
fbem-19724	112	8	minimal	minimal	ADJ
fbem-19724	112	9	risk	risk	NOUN
fbem-19724	112	10	are	be	AUX
fbem-19724	112	11	analyzed	analyze	VERB
fbem-19724	112	12	only	only	ADV
fbem-19724	112	13	under	under	ADP
fbem-19724	112	14	the	the	DET
fbem-19724	112	15	background	background	NOUN
fbem-19724	112	16	of	of	ADP
fbem-19724	112	17	no	no	DET
fbem-19724	112	18	constraint	constraint	NOUN
fbem-19724	112	19	scenario	scenario	NOUN
fbem-19724	112	20	.	.	PUNCT
fbem-19724	113	1	figure	figure	VERB
fbem-19724	113	2	3	3	NUM
fbem-19724	113	3	.	.	PUNCT
fbem-19724	114	1	the	the	DET
fbem-19724	114	2	permissible	permissible	ADJ
fbem-19724	114	3	portfolios	portfolio	NOUN
fbem-19724	114	4	region	region	NOUN
fbem-19724	114	5	under	under	ADP
fbem-19724	114	6	markowitz	markowitz	PROPN
fbem-19724	114	7	model	model	PROPN
fbem-19724	114	8	-12	-12	PROPN
fbem-19724	114	9	%	%	NOUN
fbem-19724	114	10	-2	-2	INTJ
fbem-19724	114	11	%	%	NOUN
fbem-19724	114	12	8	8	NUM
fbem-19724	114	13	%	%	NOUN
fbem-19724	114	14	18	18	NUM
fbem-19724	114	15	%	%	NOUN
fbem-19724	114	16	28	28	NUM
fbem-19724	114	17	%	%	NOUN
fbem-19724	114	18	38	38	NUM
fbem-19724	114	19	%	%	NOUN
fbem-19724	114	20	48	48	NUM
fbem-19724	114	21	%	%	NOUN
fbem-19724	114	22	0	0	NUM
fbem-19724	114	23	%	%	NOUN
fbem-19724	114	24	10	10	NUM
fbem-19724	114	25	%	%	NOUN
fbem-19724	114	26	20	20	NUM
fbem-19724	114	27	%	%	NOUN
fbem-19724	114	28	30	30	NUM
fbem-19724	114	29	%	%	NOUN
fbem-19724	114	30	40	40	NUM
fbem-19724	114	31	%	%	NOUN
fbem-19724	114	32	50	50	NUM
fbem-19724	114	33	%	%	NOUN
fbem-19724	114	34	60	60	NUM
fbem-19724	114	35	%	%	NOUN
fbem-19724	114	36	70	70	NUM
fbem-19724	114	37	%	%	NOUN
fbem-19724	114	38	80	80	NUM
fbem-19724	114	39	%	%	NOUN
fbem-19724	114	40	90	90	NUM
fbem-19724	114	41	%	%	NOUN
fbem-19724	114	42	markowitz	markowitz	PROPN
fbem-19724	114	43	model	model	PROPN
fbem-19724	114	44	mm	mm	PROPN
fbem-19724	114	45	minvar	minvar	PROPN
fbem-19724	114	46	constr3	constr3	PROPN
fbem-19724	115	1	mm	mm	PROPN
fbem-19724	115	2	maxsharpe	maxsharpe	PROPN
fbem-19724	115	3	constr3	constr3	PROPN
fbem-19724	116	1	mm	mm	INTJ
fbem-19724	117	1	cal	cal	ADJ
fbem-19724	117	2	constr3	constr3	NOUN
fbem-19724	118	1	mm	mm	INTJ
fbem-19724	118	2	minimal	minimal	ADJ
fbem-19724	118	3	variance	variance	NOUN
fbem-19724	118	4	frontier	frontier	NOUN
fbem-19724	118	5	constr1	constr1	NOUN
fbem-19724	119	1	mm	mm	X
fbem-19724	119	2	minimal	minimal	PROPN
fbem-19724	119	3	variance	variance	NOUN
fbem-19724	119	4	frontier	frontier	NOUN
fbem-19724	119	5	constr2	constr2	NOUN
fbem-19724	119	6	mm	mm	X
fbem-19724	119	7	minimal	minimal	ADJ
fbem-19724	119	8	variance	variance	NOUN
fbem-19724	119	9	frontier	frontier	NOUN
fbem-19724	119	10	constr3	constr3	NOUN
fbem-19724	120	1	mm	mm	INTJ
fbem-19724	120	2	minimal	minimal	ADJ
fbem-19724	120	3	variance	variance	NOUN
fbem-19724	120	4	frontier	frontier	NOUN
fbem-19724	120	5	constr4	constr4	NOUN
fbem-19724	121	1	mm	mm	PROPN
fbem-19724	121	2	minimal	minimal	ADJ
fbem-19724	121	3	variance	variance	NOUN
fbem-19724	121	4	frontier	frontier	NOUN
fbem-19724	121	5	contrts5	contrts5	PROPN
fbem-19724	121	6	mm	mm	PROPN
fbem-19724	121	7	efficient	efficient	ADJ
fbem-19724	121	8	frontier	frontier	NOUN
fbem-19724	121	9	constr1	constr1	NOUN
fbem-19724	121	10	mm	mm	PROPN
fbem-19724	121	11	inefficient	inefficient	ADJ
fbem-19724	121	12	frontier	frontier	NOUN
fbem-19724	121	13	constr1	constr1	NOUN
fbem-19724	121	14	mm	mm	X
fbem-19724	121	15	efficient	efficient	ADJ
fbem-19724	121	16	frontier	frontier	NOUN
fbem-19724	121	17	constr2	constr2	NOUN
fbem-19724	121	18	mm	mm	PROPN
fbem-19724	121	19	inefficient	inefficient	ADJ
fbem-19724	121	20	frontier	frontier	NOUN
fbem-19724	121	21	constr2	constr2	NOUN
fbem-19724	121	22	mm	mm	X
fbem-19724	121	23	efficient	efficient	ADJ
fbem-19724	121	24	frontier	frontier	NOUN
fbem-19724	121	25	constr3	constr3	NOUN
fbem-19724	122	1	mm	mm	PROPN
fbem-19724	122	2	inefficient	inefficient	ADJ
fbem-19724	122	3	frontier	frontier	NOUN
fbem-19724	122	4	constr3	constr3	NOUN
fbem-19724	123	1	mm	mm	INTJ
fbem-19724	123	2	efficient	efficient	ADJ
fbem-19724	123	3	frontier	frontier	NOUN
fbem-19724	123	4	constr4	constr4	NOUN
fbem-19724	124	1	mm	mm	PROPN
fbem-19724	124	2	inefficient	inefficient	ADJ
fbem-19724	124	3	frontier	frontier	NOUN
fbem-19724	124	4	constr4	constr4	NOUN
fbem-19724	125	1	mm	mm	INTJ
fbem-19724	125	2	efficient	efficient	ADJ
fbem-19724	125	3	frontier	frontier	NOUN
fbem-19724	125	4	constr5	constr5	NOUN
fbem-19724	125	5	mm	mm	PROPN
fbem-19724	125	6	inefficient	inefficient	ADJ
fbem-19724	125	7	frontier	frontier	NOUN
fbem-19724	125	8	constr5	constr5	NOUN
fbem-19724	125	9	193	193	NUM
fbem-19724	125	10	figure	figure	NOUN
fbem-19724	125	11	4	4	NUM
fbem-19724	125	12	.	.	PUNCT
fbem-19724	126	1	the	the	DET
fbem-19724	126	2	permissible	permissible	ADJ
fbem-19724	126	3	portfolios	portfolio	NOUN
fbem-19724	126	4	region	region	NOUN
fbem-19724	126	5	under	under	ADP
fbem-19724	126	6	index	index	NOUN
fbem-19724	126	7	model	model	NOUN
fbem-19724	126	8	4.2	4.2	NUM
fbem-19724	126	9	.	.	PUNCT
fbem-19724	127	1	minimum	minimum	ADJ
fbem-19724	127	2	variance	variance	NOUN
fbem-19724	127	3	portfolio	portfolio	NOUN
fbem-19724	127	4	investors	investor	NOUN
fbem-19724	127	5	with	with	ADP
fbem-19724	127	6	high	high	ADJ
fbem-19724	127	7	risk	risk	NOUN
fbem-19724	127	8	aversion	aversion	NOUN
fbem-19724	127	9	typically	typically	ADV
fbem-19724	127	10	exhibit	exhibit	VERB
fbem-19724	127	11	a	a	DET
fbem-19724	127	12	demand	demand	NOUN
fbem-19724	127	13	for	for	ADP
fbem-19724	127	14	investment	investment	NOUN
fbem-19724	127	15	options	option	NOUN
fbem-19724	127	16	that	that	PRON
fbem-19724	127	17	balance	balance	VERB
fbem-19724	127	18	the	the	DET
fbem-19724	127	19	desire	desire	NOUN
fbem-19724	127	20	for	for	ADP
fbem-19724	127	21	returns	return	NOUN
fbem-19724	127	22	with	with	ADP
fbem-19724	127	23	a	a	DET
fbem-19724	127	24	preference	preference	NOUN
fbem-19724	127	25	for	for	ADP
fbem-19724	127	26	lower	low	ADJ
fbem-19724	127	27	risk	risk	NOUN
fbem-19724	127	28	.	.	PUNCT
fbem-19724	128	1	seeking	seek	VERB
fbem-19724	128	2	the	the	DET
fbem-19724	128	3	minimum	minimum	ADJ
fbem-19724	128	4	variance	variance	NOUN
fbem-19724	128	5	portfolio	portfolio	NOUN
fbem-19724	128	6	is	be	AUX
fbem-19724	128	7	important	important	ADJ
fbem-19724	128	8	for	for	ADP
fbem-19724	128	9	this	this	DET
fbem-19724	128	10	group	group	NOUN
fbem-19724	128	11	.	.	PUNCT
fbem-19724	129	1	to	to	PART
fbem-19724	129	2	find	find	VERB
fbem-19724	129	3	this	this	DET
fbem-19724	129	4	specific	specific	ADJ
fbem-19724	129	5	portfolio	portfolio	NOUN
fbem-19724	129	6	for	for	ADP
fbem-19724	129	7	different	different	ADJ
fbem-19724	129	8	groups	group	NOUN
fbem-19724	129	9	,	,	PUNCT
fbem-19724	129	10	this	this	DET
fbem-19724	129	11	paper	paper	NOUN
fbem-19724	129	12	finds	find	VERB
fbem-19724	129	13	out	out	ADP
fbem-19724	129	14	the	the	DET
fbem-19724	129	15	weights	weight	NOUN
fbem-19724	129	16	assigned	assign	VERB
fbem-19724	129	17	to	to	ADP
fbem-19724	129	18	different	different	ADJ
fbem-19724	129	19	assets	asset	NOUN
fbem-19724	129	20	with	with	ADP
fbem-19724	129	21	minimal	minimal	ADJ
fbem-19724	129	22	variance	variance	NOUN
fbem-19724	129	23	under	under	ADP
fbem-19724	129	24	the	the	DET
fbem-19724	129	25	assumption	assumption	NOUN
fbem-19724	129	26	of	of	ADP
fbem-19724	129	27	different	different	ADJ
fbem-19724	129	28	constraints	constraint	NOUN
fbem-19724	129	29	.	.	PUNCT
fbem-19724	130	1	which	which	PRON
fbem-19724	130	2	are	be	AUX
fbem-19724	130	3	already	already	ADV
fbem-19724	130	4	showed	show	VERB
fbem-19724	130	5	in	in	ADP
fbem-19724	130	6	the	the	DET
fbem-19724	130	7	figure	figure	NOUN
fbem-19724	130	8	3	3	NUM
fbem-19724	130	9	and	and	CCONJ
fbem-19724	130	10	4	4	NUM
fbem-19724	130	11	.	.	NOUN
fbem-19724	130	12	table	table	NOUN
fbem-19724	131	1	3	3	NUM
fbem-19724	131	2	.	.	PUNCT
fbem-19724	132	1	weights	weight	NOUN
fbem-19724	132	2	of	of	ADP
fbem-19724	132	3	min	min	PROPN
fbem-19724	132	4	variance	variance	NOUN
fbem-19724	132	5	portfolio	portfolio	NOUN
fbem-19724	132	6	calculated	calculate	VERB
fbem-19724	132	7	by	by	ADP
fbem-19724	132	8	markowitz	markowitz	PROPN
fbem-19724	132	9	model	model	PROPN
fbem-19724	132	10	spx	spx	PROPN
fbem-19724	132	11	qcom	qcom	PROPN
fbem-19724	132	12	akam	akam	PROPN
fbem-19724	132	13	orcl	orcl	PROPN
fbem-19724	132	14	msft	msft	PROPN
fbem-19724	133	1	cvx	cvx	PROPN
fbem-19724	133	2	xom	xom	PROPN
fbem-19724	133	3	imo	imo	PROPN
fbem-19724	133	4	ko	ko	PROPN
fbem-19724	134	1	pep	pep	PROPN
fbem-19724	134	2	mcd	mcd	PROPN
fbem-19724	134	3	constr1	constr1	PROPN
fbem-19724	134	4	28.03	28.03	NUM
fbem-19724	134	5	%	%	NOUN
fbem-19724	134	6	-1.09	-1.09	NOUN
fbem-19724	134	7	%	%	NOUN
fbem-19724	134	8	-1.48	-1.48	NOUN
fbem-19724	134	9	%	%	NOUN
fbem-19724	134	10	-0.57	-0.57	NUM
fbem-19724	134	11	%	%	NOUN
fbem-19724	134	12	-2.69	-2.69	NOUN
fbem-19724	134	13	%	%	NOUN
fbem-19724	134	14	-10.58	-10.58	NOUN
fbem-19724	134	15	%	%	NOUN
fbem-19724	134	16	3.54	3.54	NUM
fbem-19724	134	17	%	%	NOUN
fbem-19724	134	18	6.43	6.43	NUM
fbem-19724	134	19	%	%	NOUN
fbem-19724	134	20	26.93	26.93	NUM
fbem-19724	134	21	%	%	NOUN
fbem-19724	134	22	29.98	29.98	NUM
fbem-19724	134	23	%	%	NOUN
fbem-19724	134	24	21.50	21.50	NUM
fbem-19724	134	25	%	%	NOUN
fbem-19724	134	26	constr2	constr2	NOUN
fbem-19724	134	27	28.01	28.01	NUM
fbem-19724	134	28	%	%	NOUN
fbem-19724	134	29	-1.10	-1.10	NOUN
fbem-19724	134	30	%	%	NOUN
fbem-19724	134	31	-1.48	-1.48	NOUN
fbem-19724	134	32	%	%	NOUN
fbem-19724	134	33	-0.57	-0.57	X
fbem-19724	134	34	%	%	NOUN
fbem-19724	134	35	-2.68	-2.68	ADJ
fbem-19724	134	36	%	%	NOUN
fbem-19724	134	37	-10.57	-10.57	NOUN
fbem-19724	134	38	%	%	NOUN
fbem-19724	134	39	3.55	3.55	NUM
fbem-19724	134	40	%	%	NOUN
fbem-19724	134	41	6.42	6.42	NUM
fbem-19724	134	42	%	%	NOUN
fbem-19724	134	43	26.93	26.93	NUM
fbem-19724	134	44	%	%	NOUN
fbem-19724	134	45	29.98	29.98	NUM
fbem-19724	134	46	%	%	NOUN
fbem-19724	134	47	21.50	21.50	NUM
fbem-19724	134	48	%	%	NOUN
fbem-19724	134	49	constr3	constr3	NOUN
fbem-19724	134	50	28.03	28.03	NUM
fbem-19724	134	51	%	%	NOUN
fbem-19724	134	52	-1.09	-1.09	NOUN
fbem-19724	134	53	%	%	NOUN
fbem-19724	134	54	-1.48	-1.48	NOUN
fbem-19724	134	55	%	%	NOUN
fbem-19724	134	56	-0.57	-0.57	NUM
fbem-19724	134	57	%	%	NOUN
fbem-19724	134	58	-2.69	-2.69	NOUN
fbem-19724	134	59	%	%	NOUN
fbem-19724	135	1	-10.58	-10.58	NOUN
fbem-19724	135	2	%	%	NOUN
fbem-19724	135	3	3.54	3.54	NUM
fbem-19724	135	4	%	%	NOUN
fbem-19724	135	5	6.43	6.43	NUM
fbem-19724	135	6	%	%	NOUN
fbem-19724	135	7	26.93	26.93	NUM
fbem-19724	135	8	%	%	NOUN
fbem-19724	135	9	29.98	29.98	NUM
fbem-19724	135	10	%	%	NOUN
fbem-19724	135	11	21.50	21.50	NUM
fbem-19724	135	12	%	%	NOUN
fbem-19724	135	13	constr4	constr4	NOUN
fbem-19724	136	1	15.70	15.70	NUM
fbem-19724	136	2	%	%	NOUN
fbem-19724	136	3	0.15	0.15	NUM
fbem-19724	136	4	%	%	NOUN
fbem-19724	136	5	0.00	0.00	NUM
fbem-19724	136	6	%	%	NOUN
fbem-19724	136	7	0.00	0.00	NUM
fbem-19724	136	8	%	%	NOUN
fbem-19724	136	9	0.05	0.05	NUM
fbem-19724	136	10	%	%	NOUN
fbem-19724	136	11	0.00	0.00	NUM
fbem-19724	136	12	%	%	NOUN
fbem-19724	136	13	0.23	0.23	NUM
fbem-19724	136	14	%	%	NOUN
fbem-19724	136	15	4.01	4.01	NUM
fbem-19724	136	16	%	%	NOUN
fbem-19724	136	17	27.67	27.67	NUM
fbem-19724	136	18	%	%	NOUN
fbem-19724	136	19	30.64	30.64	NUM
fbem-19724	136	20	%	%	NOUN
fbem-19724	136	21	21.56	21.56	NUM
fbem-19724	136	22	%	%	NOUN
fbem-19724	136	23	constr5	constr5	NOUN
fbem-19724	136	24	0.00	0.00	NUM
fbem-19724	136	25	%	%	NOUN
fbem-19724	136	26	1.12	1.12	NUM
fbem-19724	136	27	%	%	NOUN
fbem-19724	136	28	-0.40	-0.40	NOUN
fbem-19724	136	29	%	%	NOUN
fbem-19724	136	30	1.86	1.86	NUM
fbem-19724	136	31	%	%	NOUN
fbem-19724	136	32	2.06	2.06	NUM
fbem-19724	136	33	%	%	NOUN
fbem-19724	136	34	-7.29	-7.29	NOUN
fbem-19724	136	35	%	%	NOUN
fbem-19724	136	36	6.84	6.84	NUM
fbem-19724	136	37	%	%	NOUN
fbem-19724	136	38	7.19	7.19	NUM
fbem-19724	136	39	%	%	NOUN
fbem-19724	136	40	30.19	30.19	NUM
fbem-19724	136	41	%	%	NOUN
fbem-19724	136	42	33.71	33.71	NUM
fbem-19724	136	43	%	%	NOUN
fbem-19724	136	44	24.71	24.71	NUM
fbem-19724	136	45	%	%	NOUN
fbem-19724	136	46	table	table	NOUN
fbem-19724	136	47	4	4	NUM
fbem-19724	136	48	.	.	PUNCT
fbem-19724	137	1	weights	weight	NOUN
fbem-19724	137	2	of	of	ADP
fbem-19724	137	3	min	min	PROPN
fbem-19724	137	4	variance	variance	NOUN
fbem-19724	137	5	portfolio	portfolio	NOUN
fbem-19724	137	6	calculated	calculate	VERB
fbem-19724	137	7	by	by	ADP
fbem-19724	137	8	index	index	NOUN
fbem-19724	137	9	model	model	NOUN
fbem-19724	137	10	spx	spx	PROPN
fbem-19724	137	11	qcom	qcom	PROPN
fbem-19724	137	12	akam	akam	PROPN
fbem-19724	137	13	orcl	orcl	PROPN
fbem-19724	137	14	msft	msft	PROPN
fbem-19724	138	1	cvx	cvx	PROPN
fbem-19724	138	2	xom	xom	PROPN
fbem-19724	138	3	imo	imo	PROPN
fbem-19724	138	4	ko	ko	PROPN
fbem-19724	139	1	pep	pep	PROPN
fbem-19724	139	2	mcd	mcd	PROPN
fbem-19724	139	3	constr1	constr1	PROPN
fbem-19724	139	4	-2.07	-2.07	NUM
fbem-19724	140	1	%	%	NOUN
fbem-19724	140	2	-11.23	-11.23	SYM
fbem-19724	140	3	%	%	NOUN
fbem-19724	140	4	0.00	0.00	NUM
fbem-19724	140	5	%	%	NOUN
fbem-19724	140	6	-11.53	-11.53	NOUN
fbem-19724	140	7	%	%	NOUN
fbem-19724	140	8	-11.12	-11.12	NOUN
fbem-19724	140	9	%	%	NOUN
fbem-19724	140	10	-9.19	-9.19	NUM
fbem-19724	140	11	%	%	NOUN
fbem-19724	140	12	-4.86	-4.86	NOUN
fbem-19724	140	13	%	%	NOUN
fbem-19724	140	14	28.24	28.24	NUM
fbem-19724	140	15	%	%	NOUN
fbem-19724	140	16	24.89	24.89	NUM
fbem-19724	140	17	%	%	NOUN
fbem-19724	140	18	26.18	26.18	NUM
fbem-19724	140	19	%	%	NOUN
fbem-19724	140	20	70.69	70.69	NUM
fbem-19724	140	21	%	%	NOUN
fbem-19724	140	22	constr2	constr2	NOUN
fbem-19724	140	23	30.12	30.12	NUM
fbem-19724	140	24	%	%	NOUN
fbem-19724	140	25	-2.66	-2.66	NUM
fbem-19724	140	26	%	%	NOUN
fbem-19724	140	27	-2.68	-2.68	ADJ
fbem-19724	140	28	%	%	NOUN
fbem-19724	140	29	-2.02	-2.02	NUM
fbem-19724	140	30	%	%	NOUN
fbem-19724	140	31	-1.79	-1.79	PRON
fbem-19724	140	32	%	%	NOUN
fbem-19724	141	1	-0.60	-0.60	NUM
fbem-19724	141	2	%	%	NOUN
fbem-19724	141	3	1.95	1.95	NUM
fbem-19724	141	4	%	%	NOUN
fbem-19724	141	5	2.35	2.35	NUM
fbem-19724	141	6	%	%	NOUN
fbem-19724	141	7	28.26	28.26	NUM
fbem-19724	141	8	%	%	NOUN
fbem-19724	141	9	28.92	28.92	NUM
fbem-19724	141	10	%	%	NOUN
fbem-19724	141	11	18.15	18.15	NUM
fbem-19724	141	12	%	%	NOUN
fbem-19724	141	13	constr3	constr3	NOUN
fbem-19724	142	1	30.11	30.11	NUM
fbem-19724	142	2	%	%	NOUN
fbem-19724	142	3	-2.68	-2.68	ADJ
fbem-19724	142	4	%	%	NOUN
fbem-19724	142	5	-2.67	-2.67	NUM
fbem-19724	142	6	%	%	NOUN
fbem-19724	142	7	-2.01	-2.01	NUM
fbem-19724	142	8	%	%	NOUN
fbem-19724	142	9	-1.82	-1.82	NOUN
fbem-19724	142	10	%	%	NOUN
fbem-19724	142	11	-0.58	-0.58	NUM
fbem-19724	142	12	%	%	NOUN
fbem-19724	142	13	1.96	1.96	NUM
fbem-19724	142	14	%	%	NOUN
fbem-19724	142	15	2.33	2.33	NUM
fbem-19724	142	16	%	%	NOUN
fbem-19724	142	17	28.27	28.27	NUM
fbem-19724	142	18	%	%	NOUN
fbem-19724	142	19	28.94	28.94	NUM
fbem-19724	142	20	%	%	NOUN
fbem-19724	142	21	18.15	18.15	NUM
fbem-19724	142	22	%	%	NOUN
fbem-19724	142	23	constr4	constr4	NOUN
fbem-19724	143	1	19.13	19.13	NUM
fbem-19724	143	2	%	%	NOUN
fbem-19724	143	3	0.00	0.00	NUM
fbem-19724	143	4	%	%	NOUN
fbem-19724	143	5	0.00	0.00	NUM
fbem-19724	143	6	%	%	NOUN
fbem-19724	143	7	0.00	0.00	NUM
fbem-19724	143	8	%	%	NOUN
fbem-19724	143	9	0.00	0.00	NUM
fbem-19724	143	10	%	%	NOUN
fbem-19724	143	11	0.00	0.00	NUM
fbem-19724	143	12	%	%	NOUN
fbem-19724	143	13	1.99	1.99	NUM
fbem-19724	143	14	%	%	NOUN
fbem-19724	143	15	2.37	2.37	NUM
fbem-19724	143	16	%	%	NOUN
fbem-19724	143	17	28.71	28.71	NUM
fbem-19724	143	18	%	%	NOUN
fbem-19724	143	19	29.39	29.39	NUM
fbem-19724	143	20	%	%	NOUN
fbem-19724	143	21	18.41	18.41	NUM
fbem-19724	143	22	%	%	NOUN
fbem-19724	143	23	constr5	constr5	NOUN
fbem-19724	143	24	0.00	0.00	NUM
fbem-19724	143	25	%	%	NOUN
fbem-19724	143	26	-0.70	-0.70	NUM
fbem-19724	143	27	%	%	NOUN
fbem-19724	143	28	-1.72	-1.72	ADJ
fbem-19724	143	29	%	%	NOUN
fbem-19724	143	30	0.39	0.39	NUM
fbem-19724	143	31	%	%	NOUN
fbem-19724	143	32	1.33	1.33	NUM
fbem-19724	143	33	%	%	NOUN
fbem-19724	143	34	2.57	2.57	NUM
fbem-19724	143	35	%	%	NOUN
fbem-19724	143	36	5.45	5.45	NUM
fbem-19724	143	37	%	%	NOUN
fbem-19724	143	38	4.44	4.44	NUM
fbem-19724	143	39	%	%	NOUN
fbem-19724	143	40	32.89	32.89	NUM
fbem-19724	143	41	%	%	NOUN
fbem-19724	143	42	33.59	33.59	NUM
fbem-19724	143	43	%	%	NOUN
fbem-19724	143	44	21.75	21.75	NUM
fbem-19724	143	45	%	%	NOUN
fbem-19724	143	46	on	on	ADP
fbem-19724	143	47	the	the	DET
fbem-19724	143	48	weight	weight	NOUN
fbem-19724	143	49	assignment	assignment	NOUN
fbem-19724	143	50	,	,	PUNCT
fbem-19724	143	51	except	except	SCONJ
fbem-19724	143	52	for	for	ADP
fbem-19724	143	53	the	the	DET
fbem-19724	143	54	scenario	scenario	NOUN
fbem-19724	143	55	of	of	ADP
fbem-19724	143	56	constraint	constraint	NOUN
fbem-19724	143	57	1	1	NUM
fbem-19724	143	58	,	,	PUNCT
fbem-19724	143	59	the	the	DET
fbem-19724	143	60	two	two	NUM
fbem-19724	143	61	modes	mode	NOUN
fbem-19724	143	62	have	have	VERB
fbem-19724	143	63	similar	similar	ADJ
fbem-19724	143	64	distribution	distribution	NOUN
fbem-19724	143	65	on	on	ADP
fbem-19724	143	66	the	the	DET
fbem-19724	143	67	assets	asset	NOUN
fbem-19724	143	68	,	,	PUNCT
fbem-19724	143	69	indicating	indicate	VERB
fbem-19724	143	70	that	that	SCONJ
fbem-19724	143	71	even	even	ADV
fbem-19724	143	72	under	under	ADP
fbem-19724	143	73	different	different	ADJ
fbem-19724	143	74	model	model	NOUN
fbem-19724	143	75	,	,	PUNCT
fbem-19724	143	76	the	the	DET
fbem-19724	143	77	minimum	minimum	ADJ
fbem-19724	143	78	variance	variance	NOUN
fbem-19724	143	79	portfolios	portfolio	NOUN
fbem-19724	143	80	are	be	AUX
fbem-19724	143	81	likely	likely	ADJ
fbem-19724	143	82	to	to	PART
fbem-19724	143	83	be	be	AUX
fbem-19724	143	84	similar	similar	ADJ
fbem-19724	143	85	based	base	VERB
fbem-19724	143	86	on	on	ADP
fbem-19724	143	87	the	the	DET
fbem-19724	143	88	same	same	ADJ
fbem-19724	143	89	dataset	dataset	NOUN
fbem-19724	143	90	.	.	PUNCT
fbem-19724	144	1	the	the	DET
fbem-19724	144	2	return	return	NOUN
fbem-19724	144	3	,	,	PUNCT
fbem-19724	144	4	standard	standard	ADJ
fbem-19724	144	5	deviation	deviation	NOUN
fbem-19724	144	6	and	and	CCONJ
fbem-19724	144	7	sharpe	sharpe	NOUN
fbem-19724	144	8	ratio	ratio	NOUN
fbem-19724	144	9	under	under	ADP
fbem-19724	144	10	different	different	ADJ
fbem-19724	144	11	constraints	constraint	NOUN
fbem-19724	144	12	are	be	AUX
fbem-19724	144	13	shown	show	VERB
fbem-19724	144	14	below	below	ADP
fbem-19724	144	15	:	:	PUNCT
fbem-19724	144	16	table	table	NOUN
fbem-19724	144	17	5	5	NUM
fbem-19724	144	18	.	.	X
fbem-19724	144	19	return	return	NOUN
fbem-19724	144	20	,	,	PUNCT
fbem-19724	144	21	risk	risk	NOUN
fbem-19724	144	22	,	,	PUNCT
fbem-19724	144	23	and	and	CCONJ
fbem-19724	144	24	sharpe	sharpe	PROPN
fbem-19724	144	25	ratio	ratio	NOUN
fbem-19724	144	26	of	of	ADP
fbem-19724	144	27	min	min	PROPN
fbem-19724	144	28	variance	variance	PROPN
fbem-19724	144	29	portfolio	portfolio	PROPN
fbem-19724	144	30	markowitz	markowitz	PROPN
fbem-19724	144	31	model	model	PROPN
fbem-19724	144	32	index	index	PROPN
fbem-19724	144	33	model	model	NOUN
fbem-19724	144	34	return	return	PROPN
fbem-19724	144	35	stdev	stdev	PROPN
fbem-19724	144	36	sharpe	sharpe	PROPN
fbem-19724	144	37	return	return	PROPN
fbem-19724	144	38	stdev	stdev	PROPN
fbem-19724	144	39	sharpe	sharpe	PROPN
fbem-19724	144	40	constr1	constr1	PROPN
fbem-19724	144	41	8.30	8.30	NUM
fbem-19724	144	42	%	%	NOUN
fbem-19724	144	43	15.76	15.76	NUM
fbem-19724	144	44	%	%	NOUN
fbem-19724	144	45	0.526	0.526	NUM
fbem-19724	144	46	10.51	10.51	NUM
fbem-19724	144	47	%	%	NOUN
fbem-19724	144	48	22.64	22.64	NUM
fbem-19724	144	49	%	%	NOUN
fbem-19724	144	50	0.464	0.464	NUM
fbem-19724	144	51	constr2	constr2	NOUN
fbem-19724	144	52	8.30	8.30	NUM
fbem-19724	144	53	%	%	NOUN
fbem-19724	144	54	15.76	15.76	NUM
fbem-19724	144	55	%	%	NOUN
fbem-19724	144	56	0.526	0.526	NUM
fbem-19724	144	57	8.12	8.12	NUM
fbem-19724	144	58	%	%	NOUN
fbem-19724	144	59	15.88	15.88	NUM
fbem-19724	144	60	%	%	NOUN
fbem-19724	144	61	0.511	0.511	NUM
fbem-19724	144	62	constr3	constr3	NOUN
fbem-19724	144	63	8.30	8.30	NUM
fbem-19724	144	64	%	%	NOUN
fbem-19724	144	65	15.76	15.76	NUM
fbem-19724	144	66	%	%	NOUN
fbem-19724	144	67	0.526	0.526	NUM
fbem-19724	144	68	8.12	8.12	NUM
fbem-19724	144	69	%	%	NOUN
fbem-19724	144	70	15.88	15.88	NUM
fbem-19724	144	71	%	%	NOUN
fbem-19724	144	72	0.511	0.511	NUM
fbem-19724	144	73	constr4	constr4	NOUN
fbem-19724	144	74	8.59	8.59	NUM
fbem-19724	144	75	%	%	NOUN
fbem-19724	144	76	15.85	15.85	NUM
fbem-19724	144	77	%	%	NOUN
fbem-19724	144	78	0.542	0.542	NUM
fbem-19724	144	79	8.36	8.36	NUM
fbem-19724	144	80	%	%	NOUN
fbem-19724	144	81	16.00	16.00	NUM
fbem-19724	144	82	%	%	NOUN
fbem-19724	144	83	0.523	0.523	NUM
fbem-19724	144	84	constr5	constr5	NOUN
fbem-19724	144	85	8.62	8.62	NUM
fbem-19724	144	86	%	%	NOUN
fbem-19724	144	87	15.90	15.90	NUM
fbem-19724	144	88	%	%	NOUN
fbem-19724	144	89	0.542	0.542	NUM
fbem-19724	144	90	8.37	8.37	NUM
fbem-19724	144	91	%	%	NOUN
fbem-19724	144	92	16.11	16.11	NUM
fbem-19724	144	93	%	%	NOUN
fbem-19724	144	94	0.520	0.520	NUM
fbem-19724	144	95	-12	-12	NOUN
fbem-19724	144	96	%	%	NOUN
fbem-19724	144	97	-2	-2	INTJ
fbem-19724	144	98	%	%	NOUN
fbem-19724	144	99	8	8	NUM
fbem-19724	144	100	%	%	NOUN
fbem-19724	144	101	18	18	NUM
fbem-19724	144	102	%	%	NOUN
fbem-19724	144	103	28	28	NUM
fbem-19724	144	104	%	%	NOUN
fbem-19724	144	105	38	38	NUM
fbem-19724	144	106	%	%	NOUN
fbem-19724	144	107	48	48	NUM
fbem-19724	144	108	%	%	NOUN
fbem-19724	144	109	0	0	NUM
fbem-19724	144	110	%	%	NOUN
fbem-19724	144	111	10	10	NUM
fbem-19724	144	112	%	%	NOUN
fbem-19724	144	113	20	20	NUM
fbem-19724	144	114	%	%	NOUN
fbem-19724	144	115	30	30	NUM
fbem-19724	144	116	%	%	NOUN
fbem-19724	144	117	40	40	NUM
fbem-19724	144	118	%	%	NOUN
fbem-19724	144	119	50	50	NUM
fbem-19724	144	120	%	%	NOUN
fbem-19724	144	121	60	60	NUM
fbem-19724	144	122	%	%	NOUN
fbem-19724	144	123	70	70	NUM
fbem-19724	144	124	%	%	NOUN
fbem-19724	144	125	80	80	NUM
fbem-19724	144	126	%	%	NOUN
fbem-19724	144	127	90	90	NUM
fbem-19724	144	128	%	%	NOUN
fbem-19724	144	129	index	index	NOUN
fbem-19724	144	130	model	model	NOUN
fbem-19724	144	131	i	i	PROPN
fbem-19724	144	132	m	m	VERB
fbem-19724	144	133	minvar	minvar	ADJ
fbem-19724	144	134	constr3	constr3	PROPN
fbem-19724	145	1	i	i	PRON
fbem-19724	145	2	m	m	VERB
fbem-19724	145	3	maxsharpe	maxsharpe	PROPN
fbem-19724	145	4	constr3	constr3	PROPN
fbem-19724	146	1	i	i	PRON
fbem-19724	146	2	m	m	VERB
fbem-19724	146	3	minimal	minimal	ADJ
fbem-19724	146	4	variance	variance	NOUN
fbem-19724	146	5	frontier	frontier	NOUN
fbem-19724	146	6	constr1	constr1	NOUN
fbem-19724	147	1	i	i	PRON
fbem-19724	147	2	m	m	VERB
fbem-19724	147	3	minimal	minimal	ADJ
fbem-19724	147	4	variance	variance	NOUN
fbem-19724	147	5	frontier	frontier	NOUN
fbem-19724	147	6	constr2	constr2	NOUN
fbem-19724	148	1	i	i	PRON
fbem-19724	148	2	m	m	VERB
fbem-19724	148	3	minimal	minimal	ADJ
fbem-19724	148	4	variance	variance	NOUN
fbem-19724	148	5	frontier	frontier	NOUN
fbem-19724	148	6	constr3	constr3	NOUN
fbem-19724	149	1	i	i	PRON
fbem-19724	149	2	m	m	VERB
fbem-19724	149	3	minimal	minimal	ADJ
fbem-19724	149	4	variance	variance	NOUN
fbem-19724	149	5	frontier	frontier	NOUN
fbem-19724	149	6	constr4	constr4	NOUN
fbem-19724	150	1	i	i	PRON
fbem-19724	150	2	m	m	VERB
fbem-19724	150	3	minimal	minimal	ADJ
fbem-19724	150	4	variance	variance	NOUN
fbem-19724	150	5	frontier	frontier	NOUN
fbem-19724	150	6	constr5	constr5	NOUN
fbem-19724	151	1	i	i	PRON
fbem-19724	151	2	m	m	VERB
fbem-19724	151	3	efficient	efficient	ADJ
fbem-19724	151	4	frontier	frontier	NOUN
fbem-19724	151	5	constr1	constr1	NOUN
fbem-19724	152	1	i	i	PRON
fbem-19724	152	2	m	m	VERB
fbem-19724	152	3	inefficient	inefficient	ADJ
fbem-19724	152	4	frontier	frontier	NOUN
fbem-19724	152	5	consrt1	consrt1	NOUN
fbem-19724	153	1	i	i	PRON
fbem-19724	153	2	m	m	VERB
fbem-19724	153	3	inefficient	inefficient	ADJ
fbem-19724	153	4	frontier	frontier	NOUN
fbem-19724	153	5	consrt2	consrt2	NOUN
fbem-19724	154	1	i	i	PRON
fbem-19724	154	2	m	m	VERB
fbem-19724	154	3	efficient	efficient	ADJ
fbem-19724	154	4	frontier	frontier	NOUN
fbem-19724	154	5	consrt2	consrt2	NOUN
fbem-19724	155	1	i	i	PRON
fbem-19724	155	2	m	m	VERB
fbem-19724	155	3	efficient	efficient	ADJ
fbem-19724	155	4	frontier	frontier	NOUN
fbem-19724	155	5	consrt3	consrt3	NOUN
fbem-19724	156	1	i	i	PRON
fbem-19724	156	2	m	m	VERB
fbem-19724	156	3	inefficient	inefficient	ADJ
fbem-19724	156	4	frontier	frontier	NOUN
fbem-19724	156	5	constr3	constr3	NOUN
fbem-19724	157	1	i	i	PRON
fbem-19724	157	2	m	m	VERB
fbem-19724	157	3	efficient	efficient	ADJ
fbem-19724	157	4	frontier	frontier	NOUN
fbem-19724	157	5	constr4	constr4	NOUN
fbem-19724	158	1	i	i	PRON
fbem-19724	158	2	m	m	VERB
fbem-19724	158	3	inefficient	inefficient	ADJ
fbem-19724	158	4	frontier	frontier	NOUN
fbem-19724	158	5	constr4	constr4	NOUN
fbem-19724	159	1	i	i	PRON
fbem-19724	159	2	m	m	VERB
fbem-19724	159	3	efficient	efficient	ADJ
fbem-19724	159	4	frontier	frontier	NOUN
fbem-19724	159	5	constr5	constr5	NOUN
fbem-19724	160	1	i	i	PRON
fbem-19724	160	2	m	m	VERB
fbem-19724	160	3	inefficient	inefficient	ADJ
fbem-19724	160	4	frontier	frontier	NOUN
fbem-19724	160	5	constr5	constr5	NOUN
fbem-19724	160	6	194	194	NUM
fbem-19724	160	7	the	the	DET
fbem-19724	160	8	standard	standard	ADJ
fbem-19724	160	9	deviation	deviation	NOUN
fbem-19724	160	10	given	give	VERB
fbem-19724	160	11	by	by	ADP
fbem-19724	160	12	the	the	DET
fbem-19724	160	13	two	two	NUM
fbem-19724	160	14	models	model	NOUN
fbem-19724	160	15	shown	show	VERB
fbem-19724	160	16	above	above	ADP
fbem-19724	160	17	do	do	AUX
fbem-19724	160	18	not	not	PART
fbem-19724	160	19	have	have	VERB
fbem-19724	160	20	a	a	DET
fbem-19724	160	21	large	large	ADJ
fbem-19724	160	22	difference	difference	NOUN
fbem-19724	160	23	.	.	PUNCT
fbem-19724	161	1	the	the	DET
fbem-19724	161	2	sharpe	sharpe	PROPN
fbem-19724	161	3	ratios	ratio	NOUN
fbem-19724	161	4	of	of	ADP
fbem-19724	161	5	minimum	minimum	ADJ
fbem-19724	161	6	variance	variance	NOUN
fbem-19724	161	7	portfolios	portfolio	NOUN
fbem-19724	161	8	given	give	VERB
fbem-19724	161	9	by	by	ADP
fbem-19724	161	10	markowitz	markowitz	PROPN
fbem-19724	161	11	model	model	NOUN
fbem-19724	161	12	are	be	AUX
fbem-19724	161	13	higher	high	ADJ
fbem-19724	161	14	than	than	ADP
fbem-19724	161	15	index	index	NOUN
fbem-19724	161	16	model	model	NOUN
fbem-19724	161	17	.	.	PUNCT
fbem-19724	162	1	4.3	4.3	NUM
fbem-19724	162	2	.	.	PUNCT
fbem-19724	163	1	maximum	maximum	PROPN
fbem-19724	163	2	sharpe	sharpe	PROPN
fbem-19724	163	3	ratio	ratio	PROPN
fbem-19724	163	4	portfolio	portfolio	PROPN
fbem-19724	163	5	the	the	DET
fbem-19724	163	6	sharpe	sharpe	PROPN
fbem-19724	163	7	ratio	ratio	NOUN
fbem-19724	163	8	is	be	AUX
fbem-19724	163	9	crucial	crucial	ADJ
fbem-19724	163	10	for	for	ADP
fbem-19724	163	11	evaluating	evaluate	VERB
fbem-19724	163	12	a	a	DET
fbem-19724	163	13	portfolio	portfolio	NOUN
fbem-19724	163	14	's	's	PART
fbem-19724	163	15	riskadjusted	riskadjuste	VERB
fbem-19724	163	16	performance	performance	NOUN
fbem-19724	163	17	.	.	PUNCT
fbem-19724	164	1	by	by	ADP
fbem-19724	164	2	considering	consider	VERB
fbem-19724	164	3	both	both	CCONJ
fbem-19724	164	4	return	return	NOUN
fbem-19724	164	5	and	and	CCONJ
fbem-19724	164	6	volatility	volatility	NOUN
fbem-19724	164	7	,	,	PUNCT
fbem-19724	164	8	it	it	PRON
fbem-19724	164	9	provides	provide	VERB
fbem-19724	164	10	a	a	DET
fbem-19724	164	11	single	single	ADJ
fbem-19724	164	12	metric	metric	NOUN
fbem-19724	164	13	for	for	ADP
fbem-19724	164	14	comparing	compare	VERB
fbem-19724	164	15	investment	investment	NOUN
fbem-19724	164	16	opportunities	opportunity	NOUN
fbem-19724	164	17	.	.	PUNCT
fbem-19724	165	1	a	a	DET
fbem-19724	165	2	higher	high	ADJ
fbem-19724	165	3	sharpe	sharpe	PROPN
fbem-19724	165	4	ratio	ratio	NOUN
fbem-19724	165	5	indicates	indicate	VERB
fbem-19724	165	6	better	well	ADJ
fbem-19724	165	7	risk	risk	NOUN
fbem-19724	165	8	-	-	PUNCT
fbem-19724	165	9	adjusted	adjust	VERB
fbem-19724	165	10	returns	return	NOUN
fbem-19724	165	11	,	,	PUNCT
fbem-19724	165	12	aiding	aid	VERB
fbem-19724	165	13	investors	investor	NOUN
fbem-19724	165	14	in	in	ADP
fbem-19724	165	15	making	make	VERB
fbem-19724	165	16	informed	informed	ADJ
fbem-19724	165	17	decisions	decision	NOUN
fbem-19724	165	18	to	to	PART
fbem-19724	165	19	optimize	optimize	VERB
fbem-19724	165	20	their	their	PRON
fbem-19724	165	21	portfolios	portfolio	NOUN
fbem-19724	165	22	[	[	X
fbem-19724	165	23	10	10	NUM
fbem-19724	165	24	]	]	PUNCT
fbem-19724	165	25	.	.	PUNCT
fbem-19724	166	1	by	by	ADP
fbem-19724	166	2	adding	add	VERB
fbem-19724	166	3	different	different	ADJ
fbem-19724	166	4	constraints	constraint	NOUN
fbem-19724	166	5	to	to	ADP
fbem-19724	166	6	the	the	DET
fbem-19724	166	7	assumption	assumption	NOUN
fbem-19724	166	8	,	,	PUNCT
fbem-19724	166	9	weights	weight	NOUN
fbem-19724	166	10	assigned	assign	VERB
fbem-19724	166	11	to	to	ADP
fbem-19724	166	12	different	different	ADJ
fbem-19724	166	13	stocks	stock	NOUN
fbem-19724	166	14	are	be	AUX
fbem-19724	166	15	derived	derive	VERB
fbem-19724	166	16	to	to	PART
fbem-19724	166	17	get	get	VERB
fbem-19724	166	18	the	the	DET
fbem-19724	166	19	maximum	maximum	PROPN
fbem-19724	166	20	sharpe	sharpe	PROPN
fbem-19724	166	21	ratio	ratio	PROPN
fbem-19724	166	22	.	.	PUNCT
fbem-19724	167	1	table	table	NOUN
fbem-19724	167	2	6	6	NUM
fbem-19724	167	3	.	.	PUNCT
fbem-19724	168	1	weights	weight	NOUN
fbem-19724	168	2	of	of	ADP
fbem-19724	168	3	maximum	maximum	PROPN
fbem-19724	168	4	sharpe	sharpe	PROPN
fbem-19724	168	5	ratio	ratio	PROPN
fbem-19724	168	6	portfolio	portfolio	NOUN
fbem-19724	168	7	calculated	calculate	VERB
fbem-19724	168	8	by	by	ADP
fbem-19724	168	9	markowitz	markowitz	PROPN
fbem-19724	168	10	model	model	PROPN
fbem-19724	168	11	spx	spx	PROPN
fbem-19724	168	12	qcom	qcom	PROPN
fbem-19724	168	13	akam	akam	PROPN
fbem-19724	168	14	orcl	orcl	PROPN
fbem-19724	168	15	msft	msft	PROPN
fbem-19724	169	1	cvx	cvx	PROPN
fbem-19724	169	2	xom	xom	PROPN
fbem-19724	169	3	imo	imo	PROPN
fbem-19724	169	4	ko	ko	PROPN
fbem-19724	170	1	pep	pep	PROPN
fbem-19724	170	2	mcd	mcd	PROPN
fbem-19724	170	3	constr1	constr1	PROPN
fbem-19724	170	4	-10.47	-10.47	PUNCT
fbem-19724	170	5	%	%	NOUN
fbem-19724	170	6	0.00	0.00	NUM
fbem-19724	170	7	%	%	NOUN
fbem-19724	170	8	2.08	2.08	NUM
fbem-19724	170	9	%	%	NOUN
fbem-19724	170	10	-0.59	-0.59	NUM
fbem-19724	170	11	%	%	NOUN
fbem-19724	170	12	22.67	22.67	NUM
fbem-19724	170	13	%	%	NOUN
fbem-19724	170	14	14.11	14.11	NUM
fbem-19724	170	15	%	%	NOUN
fbem-19724	170	16	-38.93	-38.93	NOUN
fbem-19724	170	17	%	%	NOUN
fbem-19724	170	18	9.04	9.04	NUM
fbem-19724	170	19	%	%	NOUN
fbem-19724	170	20	8.88	8.88	NUM
fbem-19724	170	21	%	%	NOUN
fbem-19724	170	22	33.17	33.17	NUM
fbem-19724	170	23	%	%	NOUN
fbem-19724	170	24	60.06	60.06	NUM
fbem-19724	170	25	%	%	NOUN
fbem-19724	170	26	constr2	constr2	NOUN
fbem-19724	171	1	-30.24	-30.24	NOUN
fbem-19724	171	2	%	%	NOUN
fbem-19724	171	3	0.94	0.94	NUM
fbem-19724	171	4	%	%	NOUN
fbem-19724	171	5	3.27	3.27	NUM
fbem-19724	171	6	%	%	NOUN
fbem-19724	171	7	-1.81	-1.81	NUM
fbem-19724	171	8	%	%	NOUN
fbem-19724	171	9	28.81	28.81	NUM
fbem-19724	171	10	%	%	NOUN
fbem-19724	171	11	22.89	22.89	NUM
fbem-19724	171	12	%	%	NOUN
fbem-19724	171	13	-46.96	-46.96	PROPN
fbem-19724	171	14	%	%	NOUN
fbem-19724	171	15	10.54	10.54	NUM
fbem-19724	171	16	%	%	NOUN
fbem-19724	171	17	11.27	11.27	NUM
fbem-19724	171	18	%	%	NOUN
fbem-19724	171	19	36.85	36.85	NUM
fbem-19724	171	20	%	%	NOUN
fbem-19724	171	21	64.43	64.43	NUM
fbem-19724	171	22	%	%	NOUN
fbem-19724	171	23	constr3	constr3	PUNCT
fbem-19724	172	1	-30.24	-30.24	NOUN
fbem-19724	172	2	%	%	NOUN
fbem-19724	172	3	0.95	0.95	NUM
fbem-19724	172	4	%	%	NOUN
fbem-19724	172	5	3.27	3.27	NUM
fbem-19724	172	6	%	%	NOUN
fbem-19724	172	7	-1.81	-1.81	NUM
fbem-19724	172	8	%	%	NOUN
fbem-19724	172	9	28.81	28.81	NUM
fbem-19724	172	10	%	%	NOUN
fbem-19724	172	11	22.89	22.89	NUM
fbem-19724	172	12	%	%	NOUN
fbem-19724	172	13	-46.96	-46.96	PROPN
fbem-19724	172	14	%	%	NOUN
fbem-19724	172	15	10.54	10.54	NUM
fbem-19724	172	16	%	%	NOUN
fbem-19724	172	17	11.27	11.27	NUM
fbem-19724	172	18	%	%	NOUN
fbem-19724	172	19	36.85	36.85	NUM
fbem-19724	172	20	%	%	NOUN
fbem-19724	172	21	64.43	64.43	NUM
fbem-19724	172	22	%	%	NOUN
fbem-19724	172	23	constr4	constr4	NOUN
fbem-19724	173	1	0.00	0.00	NUM
fbem-19724	173	2	%	%	NOUN
fbem-19724	173	3	0.00	0.00	NUM
fbem-19724	173	4	%	%	NOUN
fbem-19724	173	5	0.53	0.53	NUM
fbem-19724	173	6	%	%	NOUN
fbem-19724	173	7	0.00	0.00	NUM
fbem-19724	173	8	%	%	NOUN
fbem-19724	173	9	16.23	16.23	NUM
fbem-19724	173	10	%	%	NOUN
fbem-19724	173	11	0.00	0.00	NUM
fbem-19724	173	12	%	%	NOUN
fbem-19724	173	13	0.00	0.00	NUM
fbem-19724	173	14	%	%	NOUN
fbem-19724	173	15	0.00	0.00	NUM
fbem-19724	173	16	%	%	NOUN
fbem-19724	173	17	1.69	1.69	NUM
fbem-19724	173	18	%	%	NOUN
fbem-19724	173	19	25.44	25.44	NUM
fbem-19724	173	20	%	%	NOUN
fbem-19724	173	21	56.11	56.11	NUM
fbem-19724	173	22	%	%	NOUN
fbem-19724	173	23	constr5	constr5	NOUN
fbem-19724	173	24	0.00	0.00	NUM
fbem-19724	173	25	%	%	NOUN
fbem-19724	173	26	-1.30	-1.30	NOUN
fbem-19724	173	27	%	%	NOUN
fbem-19724	173	28	2.05	2.05	NUM
fbem-19724	173	29	%	%	NOUN
fbem-19724	173	30	-4.44	-4.44	NUM
fbem-19724	173	31	%	%	NOUN
fbem-19724	173	32	23.42	23.42	NUM
fbem-19724	173	33	%	%	NOUN
fbem-19724	173	34	18.85	18.85	NUM
fbem-19724	173	35	%	%	NOUN
fbem-19724	173	36	-49.52	-49.52	NUM
fbem-19724	173	37	%	%	NOUN
fbem-19724	173	38	9.68	9.68	NUM
fbem-19724	173	39	%	%	NOUN
fbem-19724	173	40	8.18	8.18	NUM
fbem-19724	173	41	%	%	NOUN
fbem-19724	173	42	32.82	32.82	NUM
fbem-19724	173	43	%	%	NOUN
fbem-19724	173	44	60.26	60.26	NUM
fbem-19724	173	45	%	%	NOUN
fbem-19724	173	46	table	table	NOUN
fbem-19724	173	47	7	7	NUM
fbem-19724	173	48	.	.	PUNCT
fbem-19724	174	1	this	this	DET
fbem-19724	174	2	paperights	paperight	NOUN
fbem-19724	174	3	of	of	ADP
fbem-19724	174	4	maximum	maximum	PROPN
fbem-19724	174	5	sharpe	sharpe	PROPN
fbem-19724	174	6	ratio	ratio	PROPN
fbem-19724	174	7	portfolio	portfolio	NOUN
fbem-19724	174	8	calculated	calculate	VERB
fbem-19724	174	9	by	by	ADP
fbem-19724	174	10	markowitz	markowitz	PROPN
fbem-19724	174	11	model	model	PROPN
fbem-19724	174	12	spx	spx	PROPN
fbem-19724	174	13	qcom	qcom	PROPN
fbem-19724	174	14	akam	akam	PROPN
fbem-19724	174	15	orcl	orcl	PROPN
fbem-19724	174	16	msft	msft	PROPN
fbem-19724	175	1	cvx	cvx	PROPN
fbem-19724	175	2	xom	xom	PROPN
fbem-19724	175	3	imo	imo	PROPN
fbem-19724	175	4	ko	ko	PROPN
fbem-19724	176	1	pep	pep	PROPN
fbem-19724	176	2	mcd	mcd	PROPN
fbem-19724	176	3	constr1	constr1	PROPN
fbem-19724	177	1	-2.70	-2.70	X
fbem-19724	177	2	%	%	NOUN
fbem-19724	177	3	0.40	0.40	NUM
fbem-19724	177	4	%	%	NOUN
fbem-19724	177	5	1.91	1.91	NUM
fbem-19724	177	6	%	%	NOUN
fbem-19724	177	7	0.34	0.34	NUM
fbem-19724	177	8	%	%	NOUN
fbem-19724	177	9	13.65	13.65	NUM
fbem-19724	177	10	%	%	NOUN
fbem-19724	177	11	-0.94	-0.94	NUM
fbem-19724	177	12	%	%	NOUN
fbem-19724	177	13	-12.84	-12.84	NUM
fbem-19724	177	14	%	%	NOUN
fbem-19724	177	15	1.30	1.30	NUM
fbem-19724	177	16	%	%	NOUN
fbem-19724	177	17	20.53	20.53	NUM
fbem-19724	177	18	%	%	NOUN
fbem-19724	177	19	29.71	29.71	NUM
fbem-19724	177	20	%	%	NOUN
fbem-19724	177	21	48.62	48.62	NUM
fbem-19724	177	22	%	%	NOUN
fbem-19724	177	23	constr2	constr2	NOUN
fbem-19724	177	24	-2.96	-2.96	NOUN
fbem-19724	177	25	%	%	NOUN
fbem-19724	177	26	0.45	0.45	NUM
fbem-19724	177	27	%	%	NOUN
fbem-19724	177	28	1.93	1.93	NUM
fbem-19724	177	29	%	%	NOUN
fbem-19724	177	30	0.35	0.35	NUM
fbem-19724	177	31	%	%	NOUN
fbem-19724	177	32	13.61	13.61	NUM
fbem-19724	177	33	%	%	NOUN
fbem-19724	177	34	-0.75	-0.75	NUM
fbem-19724	177	35	%	%	NOUN
fbem-19724	177	36	-12.77	-12.77	ADJ
fbem-19724	177	37	%	%	NOUN
fbem-19724	177	38	1.28	1.28	NUM
fbem-19724	177	39	%	%	NOUN
fbem-19724	177	40	20.48	20.48	NUM
fbem-19724	177	41	%	%	NOUN
fbem-19724	177	42	29.70	29.70	NUM
fbem-19724	177	43	%	%	NOUN
fbem-19724	177	44	48.67	48.67	NUM
fbem-19724	177	45	%	%	NOUN
fbem-19724	177	46	constr3	constr3	NOUN
fbem-19724	178	1	-2.70	-2.70	ADJ
fbem-19724	178	2	%	%	NOUN
fbem-19724	178	3	0.40	0.40	NUM
fbem-19724	178	4	%	%	NOUN
fbem-19724	178	5	1.90	1.90	NUM
fbem-19724	178	6	%	%	NOUN
fbem-19724	178	7	0.34	0.34	NUM
fbem-19724	178	8	%	%	NOUN
fbem-19724	178	9	13.65	13.65	NUM
fbem-19724	178	10	%	%	NOUN
fbem-19724	178	11	-0.93	-0.93	NOUN
fbem-19724	178	12	%	%	NOUN
fbem-19724	178	13	-12.84	-12.84	NOUN
fbem-19724	178	14	%	%	NOUN
fbem-19724	178	15	1.30	1.30	NUM
fbem-19724	178	16	%	%	NOUN
fbem-19724	178	17	20.53	20.53	NUM
fbem-19724	178	18	%	%	NOUN
fbem-19724	178	19	29.71	29.71	NUM
fbem-19724	178	20	%	%	NOUN
fbem-19724	178	21	48.62	48.62	NUM
fbem-19724	178	22	%	%	NOUN
fbem-19724	178	23	constr4	constr4	NOUN
fbem-19724	179	1	0.00	0.00	NUM
fbem-19724	179	2	%	%	NOUN
fbem-19724	179	3	0.00	0.00	NUM
fbem-19724	179	4	%	%	NOUN
fbem-19724	179	5	1.13	1.13	NUM
fbem-19724	179	6	%	%	NOUN
fbem-19724	179	7	0.00	0.00	NUM
fbem-19724	179	8	%	%	NOUN
fbem-19724	179	9	10.81	10.81	NUM
fbem-19724	179	10	%	%	NOUN
fbem-19724	179	11	0.00	0.00	NUM
fbem-19724	179	12	%	%	NOUN
fbem-19724	179	13	0.00	0.00	NUM
fbem-19724	179	14	%	%	NOUN
fbem-19724	179	15	0.00	0.00	NUM
fbem-19724	179	16	%	%	NOUN
fbem-19724	179	17	17.52	17.52	NUM
fbem-19724	179	18	%	%	NOUN
fbem-19724	179	19	25.59	25.59	NUM
fbem-19724	179	20	%	%	NOUN
fbem-19724	179	21	44.96	44.96	NUM
fbem-19724	179	22	%	%	NOUN
fbem-19724	179	23	constr5	constr5	NOUN
fbem-19724	179	24	0.00	0.00	NUM
fbem-19724	179	25	%	%	NOUN
fbem-19724	179	26	0.22	0.22	NUM
fbem-19724	179	27	%	%	NOUN
fbem-19724	179	28	1.81	1.81	NUM
fbem-19724	179	29	%	%	NOUN
fbem-19724	179	30	0.13	0.13	NUM
fbem-19724	179	31	%	%	NOUN
fbem-19724	179	32	13.34	13.34	NUM
fbem-19724	179	33	%	%	NOUN
fbem-19724	179	34	-1.21	-1.21	ADJ
fbem-19724	179	35	%	%	NOUN
fbem-19724	179	36	-13.11	-13.11	NOUN
fbem-19724	179	37	%	%	NOUN
fbem-19724	179	38	1.12	1.12	NUM
fbem-19724	179	39	%	%	NOUN
fbem-19724	179	40	20.15	20.15	NUM
fbem-19724	179	41	%	%	NOUN
fbem-19724	179	42	29.31	29.31	NUM
fbem-19724	179	43	%	%	NOUN
fbem-19724	179	44	48.23	48.23	NUM
fbem-19724	179	45	%	%	NOUN
fbem-19724	179	46	the	the	DET
fbem-19724	179	47	tables	table	NOUN
fbem-19724	179	48	shown	show	VERB
fbem-19724	179	49	above	above	ADP
fbem-19724	179	50	indicate	indicate	VERB
fbem-19724	179	51	the	the	DET
fbem-19724	179	52	weights	weight	NOUN
fbem-19724	179	53	assigned	assign	VERB
fbem-19724	179	54	to	to	ADP
fbem-19724	179	55	different	different	ADJ
fbem-19724	179	56	assets	asset	NOUN
fbem-19724	179	57	according	accord	VERB
fbem-19724	179	58	to	to	ADP
fbem-19724	179	59	certain	certain	ADJ
fbem-19724	179	60	constraint	constraint	NOUN
fbem-19724	179	61	and	and	CCONJ
fbem-19724	179	62	model	model	NOUN
fbem-19724	179	63	.	.	PUNCT
fbem-19724	180	1	the	the	DET
fbem-19724	180	2	main	main	ADJ
fbem-19724	180	3	difference	difference	NOUN
fbem-19724	180	4	of	of	ADP
fbem-19724	180	5	markowitz	markowitz	PROPN
fbem-19724	180	6	model	model	PROPN
fbem-19724	180	7	and	and	CCONJ
fbem-19724	180	8	index	index	NOUN
fbem-19724	180	9	model	model	NOUN
fbem-19724	180	10	is	be	AUX
fbem-19724	180	11	that	that	SCONJ
fbem-19724	180	12	markowitz	markowitz	PROPN
fbem-19724	180	13	model	model	PROPN
fbem-19724	180	14	chooses	choose	VERB
fbem-19724	180	15	to	to	PART
fbem-19724	180	16	have	have	VERB
fbem-19724	180	17	a	a	DET
fbem-19724	180	18	relatively	relatively	ADV
fbem-19724	180	19	large	large	ADJ
fbem-19724	180	20	short	short	ADJ
fbem-19724	180	21	position	position	NOUN
fbem-19724	180	22	on	on	ADP
fbem-19724	180	23	the	the	DET
fbem-19724	180	24	spx	spx	PROPN
fbem-19724	180	25	and	and	CCONJ
fbem-19724	180	26	xom	xom	PROPN
fbem-19724	180	27	.	.	PUNCT
fbem-19724	181	1	they	they	PRON
fbem-19724	181	2	both	both	PRON
fbem-19724	181	3	choose	choose	VERB
fbem-19724	181	4	to	to	PART
fbem-19724	181	5	have	have	VERB
fbem-19724	181	6	a	a	DET
fbem-19724	181	7	large	large	ADJ
fbem-19724	181	8	long	long	ADJ
fbem-19724	181	9	position	position	NOUN
fbem-19724	181	10	on	on	ADP
fbem-19724	181	11	the	the	DET
fbem-19724	181	12	pep	pep	NOUN
fbem-19724	181	13	and	and	CCONJ
fbem-19724	181	14	mcd	mcd	NOUN
fbem-19724	181	15	.	.	PUNCT
fbem-19724	182	1	the	the	DET
fbem-19724	182	2	return	return	NOUN
fbem-19724	182	3	,	,	PUNCT
fbem-19724	182	4	risk	risk	NOUN
fbem-19724	182	5	and	and	CCONJ
fbem-19724	182	6	sharpe	sharpe	NOUN
fbem-19724	182	7	ratio	ratio	NOUN
fbem-19724	182	8	are	be	AUX
fbem-19724	182	9	shown	show	VERB
fbem-19724	182	10	below	below	ADP
fbem-19724	182	11	:	:	PUNCT
fbem-19724	182	12	table	table	NOUN
fbem-19724	182	13	8	8	NUM
fbem-19724	182	14	.	.	PUNCT
fbem-19724	183	1	return	return	NOUN
fbem-19724	183	2	,	,	PUNCT
fbem-19724	183	3	risk	risk	NOUN
fbem-19724	183	4	,	,	PUNCT
fbem-19724	183	5	and	and	CCONJ
fbem-19724	183	6	sharpe	sharpe	PROPN
fbem-19724	183	7	ratio	ratio	NOUN
fbem-19724	183	8	of	of	ADP
fbem-19724	183	9	min	min	PROPN
fbem-19724	183	10	variance	variance	PROPN
fbem-19724	183	11	portfolio	portfolio	PROPN
fbem-19724	183	12	markowitz	markowitz	PROPN
fbem-19724	183	13	model	model	PROPN
fbem-19724	183	14	index	index	PROPN
fbem-19724	183	15	model	model	NOUN
fbem-19724	183	16	return	return	PROPN
fbem-19724	183	17	stdev	stdev	PROPN
fbem-19724	183	18	sharpe	sharpe	PROPN
fbem-19724	183	19	return	return	PROPN
fbem-19724	183	20	stdev	stdev	PROPN
fbem-19724	183	21	sharpe	sharpe	PROPN
fbem-19724	183	22	constr1	constr1	PROPN
fbem-19724	183	23	12.82	12.82	NUM
fbem-19724	183	24	%	%	NOUN
fbem-19724	183	25	19.14	19.14	NUM
fbem-19724	183	26	%	%	NOUN
fbem-19724	183	27	0.670	0.670	SYM
fbem-19724	183	28	11.03	11.03	NUM
fbem-19724	183	29	%	%	NOUN
fbem-19724	183	30	18.51	18.51	NUM
fbem-19724	183	31	%	%	NOUN
fbem-19724	183	32	0.596	0.596	NUM
fbem-19724	183	33	constr2	constr2	NOUN
fbem-19724	183	34	13.57	13.57	NUM
fbem-19724	183	35	%	%	NOUN
fbem-19724	183	36	20.15	20.15	NUM
fbem-19724	183	37	%	%	NOUN
fbem-19724	183	38	0.673	0.673	NUM
fbem-19724	183	39	11.03	11.03	NUM
fbem-19724	183	40	%	%	NOUN
fbem-19724	183	41	18.52	18.52	NUM
fbem-19724	183	42	%	%	NOUN
fbem-19724	183	43	0.596	0.596	NUM
fbem-19724	183	44	constr3	constr3	NOUN
fbem-19724	183	45	13.57	13.57	NUM
fbem-19724	183	46	%	%	NOUN
fbem-19724	183	47	20.15	20.15	NUM
fbem-19724	183	48	%	%	NOUN
fbem-19724	183	49	0.673	0.673	NUM
fbem-19724	183	50	11.03	11.03	NUM
fbem-19724	183	51	%	%	NOUN
fbem-19724	183	52	18.51	18.51	NUM
fbem-19724	183	53	%	%	NOUN
fbem-19724	183	54	0.596	0.596	NUM
fbem-19724	183	55	constr4	constr4	NOUN
fbem-19724	183	56	11.17	11.17	NUM
fbem-19724	183	57	%	%	NOUN
fbem-19724	183	58	17.87	17.87	NUM
fbem-19724	183	59	%	%	NOUN
fbem-19724	183	60	0.625	0.625	NUM
fbem-19724	183	61	10.31	10.31	NUM
fbem-19724	183	62	%	%	NOUN
fbem-19724	183	63	17.66	17.66	NUM
fbem-19724	183	64	%	%	NOUN
fbem-19724	183	65	0.584	0.584	NUM
fbem-19724	183	66	constr5	constr5	NOUN
fbem-19724	183	67	13.14	13.14	NUM
fbem-19724	183	68	%	%	NOUN
fbem-19724	183	69	19.64	19.64	NUM
fbem-19724	183	70	%	%	NOUN
fbem-19724	183	71	0.669	0.669	NUM
fbem-19724	183	72	11.00	11.00	NUM
fbem-19724	183	73	%	%	NOUN
fbem-19724	183	74	18.47	18.47	NUM
fbem-19724	183	75	%	%	NOUN
fbem-19724	183	76	0.596	0.596	NUM
fbem-19724	183	77	as	as	SCONJ
fbem-19724	183	78	this	this	DET
fbem-19724	183	79	paper	paper	NOUN
fbem-19724	183	80	can	can	AUX
fbem-19724	183	81	tell	tell	VERB
fbem-19724	183	82	from	from	ADP
fbem-19724	183	83	table	table	NOUN
fbem-19724	183	84	6	6	NUM
fbem-19724	183	85	,	,	PUNCT
fbem-19724	183	86	the	the	DET
fbem-19724	183	87	markowitz	markowitz	PROPN
fbem-19724	183	88	model	model	NOUN
fbem-19724	183	89	generates	generate	VERB
fbem-19724	183	90	higher	high	ADJ
fbem-19724	183	91	return	return	NOUN
fbem-19724	183	92	and	and	CCONJ
fbem-19724	183	93	sharpe	sharpe	NOUN
fbem-19724	183	94	ratio	ratio	NOUN
fbem-19724	183	95	compared	compare	VERB
fbem-19724	183	96	to	to	ADP
fbem-19724	183	97	the	the	DET
fbem-19724	183	98	index	index	NOUN
fbem-19724	183	99	model	model	NOUN
fbem-19724	183	100	.	.	PUNCT
fbem-19724	184	1	the	the	DET
fbem-19724	184	2	performance	performance	NOUN
fbem-19724	184	3	of	of	ADP
fbem-19724	184	4	markowitz	markowitz	PROPN
fbem-19724	184	5	model	model	NOUN
fbem-19724	184	6	is	be	AUX
fbem-19724	184	7	better	well	ADJ
fbem-19724	184	8	than	than	ADP
fbem-19724	184	9	index	index	NOUN
fbem-19724	184	10	model	model	NOUN
fbem-19724	184	11	in	in	ADP
fbem-19724	184	12	this	this	DET
fbem-19724	184	13	case	case	NOUN
fbem-19724	184	14	.	.	PUNCT
fbem-19724	185	1	in	in	ADP
fbem-19724	185	2	conclusion	conclusion	NOUN
fbem-19724	185	3	,	,	PUNCT
fbem-19724	185	4	in	in	ADP
fbem-19724	185	5	the	the	DET
fbem-19724	185	6	process	process	NOUN
fbem-19724	185	7	of	of	ADP
fbem-19724	185	8	deriving	derive	VERB
fbem-19724	185	9	the	the	DET
fbem-19724	185	10	optimal	optimal	ADJ
fbem-19724	185	11	portfolio	portfolio	NOUN
fbem-19724	185	12	under	under	ADP
fbem-19724	185	13	different	different	ADJ
fbem-19724	185	14	assumptions	assumption	NOUN
fbem-19724	185	15	,	,	PUNCT
fbem-19724	185	16	markowitz	markowitz	PROPN
fbem-19724	185	17	model	model	PROPN
fbem-19724	185	18	prevailed	prevail	VERB
fbem-19724	185	19	over	over	ADP
fbem-19724	185	20	index	index	NOUN
fbem-19724	185	21	model	model	NOUN
fbem-19724	185	22	and	and	CCONJ
fbem-19724	185	23	seems	seem	VERB
fbem-19724	185	24	to	to	PART
fbem-19724	185	25	be	be	AUX
fbem-19724	185	26	preferred	prefer	VERB
fbem-19724	185	27	by	by	ADP
fbem-19724	185	28	the	the	DET
fbem-19724	185	29	investors	investor	NOUN
fbem-19724	185	30	in	in	ADP
fbem-19724	185	31	real	real	ADJ
fbem-19724	185	32	financial	financial	ADJ
fbem-19724	185	33	market	market	NOUN
fbem-19724	185	34	.	.	PUNCT
fbem-19724	186	1	5	5	X
fbem-19724	186	2	.	.	X
fbem-19724	186	3	conclusion	conclusion	NOUN
fbem-19724	186	4	to	to	PART
fbem-19724	186	5	gain	gain	VERB
fbem-19724	186	6	deeper	deep	ADJ
fbem-19724	186	7	insights	insight	NOUN
fbem-19724	186	8	into	into	ADP
fbem-19724	186	9	the	the	DET
fbem-19724	186	10	better	well	ADJ
fbem-19724	186	11	plan	plan	NOUN
fbem-19724	186	12	for	for	ADP
fbem-19724	186	13	a	a	DET
fbem-19724	186	14	given	give	VERB
fbem-19724	186	15	financial	financial	ADJ
fbem-19724	186	16	scenario	scenario	NOUN
fbem-19724	186	17	,	,	PUNCT
fbem-19724	186	18	this	this	DET
fbem-19724	186	19	paper	paper	NOUN
fbem-19724	186	20	discreetly	discreetly	ADV
fbem-19724	186	21	analyzed	analyze	VERB
fbem-19724	186	22	a	a	DET
fbem-19724	186	23	substantial	substantial	ADJ
fbem-19724	186	24	dataset	dataset	NOUN
fbem-19724	186	25	.	.	PUNCT
fbem-19724	187	1	this	this	DET
fbem-19724	187	2	dataset	dataset	NOUN
fbem-19724	187	3	comprised	comprise	VERB
fbem-19724	187	4	ten	ten	NUM
fbem-19724	187	5	distinct	distinct	ADJ
fbem-19724	187	6	company	company	NOUN
fbem-19724	187	7	stocks	stock	NOUN
fbem-19724	187	8	crossing	cross	VERB
fbem-19724	187	9	various	various	ADJ
fbem-19724	187	10	industries	industry	NOUN
fbem-19724	187	11	and	and	CCONJ
fbem-19724	187	12	s&p	s&p	PROPN
fbem-19724	187	13	500	500	NUM
fbem-19724	187	14	index	index	NOUN
fbem-19724	187	15	over	over	ADP
fbem-19724	187	16	a	a	DET
fbem-19724	187	17	comprehensive	comprehensive	ADJ
fbem-19724	187	18	20	20	NUM
fbem-19724	187	19	-	-	PUNCT
fbem-19724	187	20	year	year	NOUN
fbem-19724	187	21	historical	historical	ADJ
fbem-19724	187	22	span	span	NOUN
fbem-19724	187	23	.	.	PUNCT
fbem-19724	188	1	the	the	DET
fbem-19724	188	2	primary	primary	ADJ
fbem-19724	188	3	focus	focus	NOUN
fbem-19724	188	4	is	be	AUX
fbem-19724	188	5	put	put	VERB
fbem-19724	188	6	on	on	ADP
fbem-19724	188	7	evaluating	evaluate	VERB
fbem-19724	188	8	two	two	NUM
fbem-19724	188	9	pivotal	pivotal	ADJ
fbem-19724	188	10	investment	investment	NOUN
fbem-19724	188	11	plans	plan	NOUN
fbem-19724	188	12	:	:	PUNCT
fbem-19724	188	13	the	the	DET
fbem-19724	188	14	markowitz	markowitz	PROPN
fbem-19724	188	15	model	model	PROPN
fbem-19724	188	16	and	and	CCONJ
fbem-19724	188	17	the	the	DET
fbem-19724	188	18	index	index	NOUN
fbem-19724	188	19	model	model	NOUN
fbem-19724	188	20	.	.	PUNCT
fbem-19724	189	1	through	through	ADP
fbem-19724	189	2	a	a	DET
fbem-19724	189	3	combination	combination	NOUN
fbem-19724	189	4	of	of	ADP
fbem-19724	189	5	mathematical	mathematical	ADJ
fbem-19724	189	6	analysis	analysis	NOUN
fbem-19724	189	7	and	and	CCONJ
fbem-19724	189	8	theoretical	theoretical	ADJ
fbem-19724	189	9	exploration	exploration	NOUN
fbem-19724	189	10	,	,	PUNCT
fbem-19724	189	11	this	this	DET
fbem-19724	189	12	paper	paper	NOUN
fbem-19724	189	13	sought	seek	VERB
fbem-19724	189	14	to	to	PART
fbem-19724	189	15	find	find	VERB
fbem-19724	189	16	out	out	ADP
fbem-19724	189	17	the	the	DET
fbem-19724	189	18	best	good	ADJ
fbem-19724	189	19	solution	solution	NOUN
fbem-19724	189	20	.	.	PUNCT
fbem-19724	190	1	using	use	VERB
fbem-19724	190	2	the	the	DET
fbem-19724	190	3	computational	computational	ADJ
fbem-19724	190	4	prowess	prowess	NOUN
fbem-19724	190	5	of	of	ADP
fbem-19724	190	6	excel	excel	NOUN
fbem-19724	190	7	and	and	CCONJ
fbem-19724	190	8	r	r	NOUN
fbem-19724	190	9	,	,	PUNCT
fbem-19724	190	10	this	this	DET
fbem-19724	190	11	paper	paper	NOUN
fbem-19724	190	12	tried	try	VERB
fbem-19724	190	13	to	to	PART
fbem-19724	190	14	handle	handle	VERB
fbem-19724	190	15	the	the	DET
fbem-19724	190	16	difficulties	difficulty	NOUN
fbem-19724	190	17	of	of	ADP
fbem-19724	190	18	this	this	DET
fbem-19724	190	19	intricate	intricate	ADJ
fbem-19724	190	20	financial	financial	ADJ
fbem-19724	190	21	landscape	landscape	NOUN
fbem-19724	190	22	.	.	PUNCT
fbem-19724	191	1	our	our	PRON
fbem-19724	191	2	analysis	analysis	NOUN
fbem-19724	191	3	adopted	adopt	VERB
fbem-19724	191	4	a	a	DET
fbem-19724	191	5	concise	concise	ADJ
fbem-19724	191	6	monthly	monthly	ADJ
fbem-19724	191	7	summary	summary	NOUN
fbem-19724	191	8	approach	approach	NOUN
fbem-19724	191	9	,	,	PUNCT
fbem-19724	191	10	simplifying	simplify	VERB
fbem-19724	191	11	the	the	DET
fbem-19724	191	12	data	datum	NOUN
fbem-19724	191	13	for	for	ADP
fbem-19724	191	14	ease	ease	NOUN
fbem-19724	191	15	of	of	ADP
fbem-19724	191	16	comprehension	comprehension	NOUN
fbem-19724	191	17	.	.	PUNCT
fbem-19724	192	1	furthermore	furthermore	ADV
fbem-19724	192	2	,	,	PUNCT
fbem-19724	192	3	our	our	PRON
fbem-19724	192	4	study	study	NOUN
fbem-19724	192	5	took	take	VERB
fbem-19724	192	6	into	into	ADP
fbem-19724	192	7	account	account	NOUN
fbem-19724	192	8	the	the	DET
fbem-19724	192	9	real	real	ADJ
fbem-19724	192	10	-	-	PUNCT
fbem-19724	192	11	world	world	NOUN
fbem-19724	192	12	constraints	constraint	NOUN
fbem-19724	192	13	which	which	PRON
fbem-19724	192	14	are	be	AUX
fbem-19724	192	15	imposed	impose	VERB
fbem-19724	192	16	by	by	ADP
fbem-19724	192	17	regulations	regulation	NOUN
fbem-19724	192	18	,	,	PUNCT
fbem-19724	192	19	such	such	ADJ
fbem-19724	192	20	as	as	ADP
fbem-19724	192	21	regulation	regulation	NOUN
fbem-19724	192	22	t	t	PROPN
fbem-19724	192	23	,	,	PUNCT
fbem-19724	192	24	arbitrary	arbitrary	ADJ
fbem-19724	192	25	constraints	constraint	NOUN
fbem-19724	192	26	denoted	denote	VERB
fbem-19724	192	27	as	as	ADP
fbem-19724	192	28	"	"	PUNCT
fbem-19724	192	29	box	box	NOUN
fbem-19724	192	30	"	"	PUNCT
fbem-19724	192	31	constraints	constraint	NOUN
fbem-19724	192	32	,	,	PUNCT
fbem-19724	192	33	and	and	CCONJ
fbem-19724	192	34	scenarios	scenario	NOUN
fbem-19724	192	35	devoid	devoid	ADJ
fbem-19724	192	36	of	of	ADP
fbem-19724	192	37	short	short	ADJ
fbem-19724	192	38	positions	position	NOUN
fbem-19724	192	39	or	or	CCONJ
fbem-19724	192	40	the	the	DET
fbem-19724	192	41	exclusion	exclusion	NOUN
fbem-19724	192	42	of	of	ADP
fbem-19724	192	43	broad	broad	ADJ
fbem-19724	192	44	indices	index	NOUN
fbem-19724	192	45	.	.	PUNCT
fbem-19724	193	1	the	the	DET
fbem-19724	193	2	results	result	NOUN
fbem-19724	193	3	of	of	ADP
fbem-19724	193	4	our	our	PRON
fbem-19724	193	5	investigation	investigation	NOUN
fbem-19724	193	6	revealed	reveal	VERB
fbem-19724	193	7	that	that	SCONJ
fbem-19724	193	8	the	the	DET
fbem-19724	193	9	performance	performance	NOUN
fbem-19724	193	10	of	of	ADP
fbem-19724	193	11	assets	asset	NOUN
fbem-19724	193	12	chosen	choose	VERB
fbem-19724	193	13	by	by	ADP
fbem-19724	193	14	the	the	DET
fbem-19724	193	15	markowitz	markowitz	PROPN
fbem-19724	193	16	model	model	NOUN
fbem-19724	193	17	surpassed	surpass	VERB
fbem-19724	193	18	that	that	PRON
fbem-19724	193	19	of	of	ADP
fbem-19724	193	20	the	the	DET
fbem-19724	193	21	index	index	NOUN
fbem-19724	193	22	model	model	NOUN
fbem-19724	193	23	under	under	ADP
fbem-19724	193	24	different	different	ADJ
fbem-19724	193	25	constraints	constraint	NOUN
fbem-19724	193	26	.	.	PUNCT
fbem-19724	194	1	this	this	DET
fbem-19724	194	2	outcome	outcome	NOUN
fbem-19724	194	3	suggests	suggest	VERB
fbem-19724	194	4	that	that	SCONJ
fbem-19724	194	5	a	a	DET
fbem-19724	194	6	more	more	ADV
fbem-19724	194	7	intricate	intricate	ADJ
fbem-19724	194	8	model	model	NOUN
fbem-19724	194	9	,	,	PUNCT
fbem-19724	194	10	coupled	couple	VERB
fbem-19724	194	11	with	with	ADP
fbem-19724	194	12	additional	additional	ADJ
fbem-19724	194	13	data	datum	NOUN
fbem-19724	194	14	,	,	PUNCT
fbem-19724	194	15	has	have	VERB
fbem-19724	194	16	the	the	DET
fbem-19724	194	17	potential	potential	NOUN
fbem-19724	194	18	to	to	PART
fbem-19724	194	19	yield	yield	VERB
fbem-19724	194	20	superior	superior	ADJ
fbem-19724	194	21	results	result	NOUN
fbem-19724	194	22	.	.	PUNCT
fbem-19724	195	1	in	in	ADP
fbem-19724	195	2	essence	essence	NOUN
fbem-19724	195	3	,	,	PUNCT
fbem-19724	195	4	this	this	DET
fbem-19724	195	5	dissertation	dissertation	NOUN
fbem-19724	195	6	aspires	aspire	VERB
fbem-19724	195	7	to	to	PART
fbem-19724	195	8	make	make	VERB
fbem-19724	195	9	a	a	DET
fbem-19724	195	10	significant	significant	ADJ
fbem-19724	195	11	contribution	contribution	NOUN
fbem-19724	195	12	to	to	ADP
fbem-19724	195	13	the	the	DET
fbem-19724	195	14	field	field	NOUN
fbem-19724	195	15	of	of	ADP
fbem-19724	195	16	finance	finance	NOUN
fbem-19724	195	17	by	by	ADP
fbem-19724	195	18	enhancing	enhance	VERB
fbem-19724	195	19	the	the	DET
fbem-19724	195	20	comprehension	comprehension	NOUN
fbem-19724	195	21	of	of	ADP
fbem-19724	195	22	portfolio	portfolio	NOUN
fbem-19724	195	23	management	management	NOUN
fbem-19724	195	24	strategies	strategy	NOUN
fbem-19724	195	25	in	in	ADP
fbem-19724	195	26	this	this	DET
fbem-19724	195	27	industry	industry	NOUN
fbem-19724	195	28	,	,	PUNCT
fbem-19724	195	29	which	which	PRON
fbem-19724	195	30	could	could	AUX
fbem-19724	195	31	enable	enable	VERB
fbem-19724	195	32	individuals	individual	NOUN
fbem-19724	195	33	to	to	PART
fbem-19724	195	34	make	make	VERB
fbem-19724	195	35	wellinformed	wellinforme	VERB
fbem-19724	195	36	decisions	decision	NOUN
fbem-19724	195	37	in	in	ADP
fbem-19724	195	38	their	their	PRON
fbem-19724	195	39	own	own	ADJ
fbem-19724	195	40	investment	investment	NOUN
fbem-19724	195	41	.	.	PUNCT
fbem-19724	196	1	references	reference	NOUN
fbem-19724	196	2	[	[	X
fbem-19724	196	3	1	1	NUM
fbem-19724	196	4	]	]	PUNCT
fbem-19724	196	5	gültekin	gültekin	NOUN
fbem-19724	196	6	,	,	PUNCT
fbem-19724	196	7	m.	m.	NOUN
fbem-19724	196	8	n.	n.	NOUN
fbem-19724	196	9	,	,	PUNCT
fbem-19724	196	10	shohfi	shohfi	NOUN
fbem-19724	196	11	,	,	PUNCT
fbem-19724	196	12	t.	t.	PROPN
fbem-19724	196	13	d.	d.	PROPN
fbem-19724	196	14	,	,	PUNCT
fbem-19724	196	15	&	&	CCONJ
fbem-19724	196	16	guerard	guerard	PROPN
fbem-19724	196	17	jr	jr	PROPN
fbem-19724	196	18	,	,	PUNCT
fbem-19724	196	19	j.	j.	PROPN
fbem-19724	196	20	b.	b.	PROPN
fbem-19724	196	21	(	(	PUNCT
fbem-19724	196	22	2020	2020	NUM
fbem-19724	196	23	)	)	PUNCT
fbem-19724	196	24	.	.	PUNCT
fbem-19724	197	1	the	the	DET
fbem-19724	197	2	construction	construction	NOUN
fbem-19724	197	3	of	of	ADP
fbem-19724	197	4	efficient	efficient	ADJ
fbem-19724	197	5	mathematics	mathematic	NOUN
fbem-19724	197	6	and	and	CCONJ
fbem-19724	197	7	statistics	statistic	NOUN
fbem-19724	197	8	,	,	PUNCT
fbem-19724	197	9	6	6	NUM
fbem-19724	197	10	,	,	PUNCT
fbem-19724	197	11	456346	456346	NUM
fbem-19724	197	12	.	.	PUNCT
fbem-19724	198	1	[	[	X
fbem-19724	198	2	2	2	NUM
fbem-19724	198	3	]	]	X
fbem-19724	198	4	zhang	zhang	PROPN
fbem-19724	198	5	c	c	PROPN
fbem-19724	198	6	,	,	PUNCT
fbem-19724	198	7	liang	liang	PROPN
fbem-19724	198	8	s	s	PROPN
fbem-19724	198	9	,	,	PUNCT
fbem-19724	198	10	lyu	lyu	NOUN
fbem-19724	198	11	f	f	X
fbem-19724	198	12	,	,	PUNCT
fbem-19724	198	13	et	et	PROPN
fbem-19724	198	14	al	al	PROPN
fbem-19724	198	15	.	.	PROPN
fbem-19724	198	16	(	(	PUNCT
fbem-19724	198	17	2020	2020	NUM
fbem-19724	198	18	)	)	PUNCT
fbem-19724	198	19	.	.	PUNCT
fbem-19724	199	1	stock	stock	NOUN
fbem-19724	199	2	-	-	PUNCT
fbem-19724	199	3	index	index	NOUN
fbem-19724	199	4	tracking	tracking	NOUN
fbem-19724	199	5	optimization	optimization	NOUN
fbem-19724	199	6	using	use	VERB
fbem-19724	199	7	auto	auto	NOUN
fbem-19724	199	8	-	-	PUNCT
fbem-19724	199	9	encoders	encoder	NOUN
fbem-19724	199	10	.	.	PUNCT
fbem-19724	200	1	frontiers	frontier	NOUN
fbem-19724	200	2	in	in	ADP
fbem-19724	200	3	physics	physics	PROPN
fbem-19724	200	4	,	,	PUNCT
fbem-19724	200	5	8	8	NUM
fbem-19724	200	6	,	,	PUNCT
fbem-19724	200	7	388	388	NUM
fbem-19724	200	8	.	.	NOUN
fbem-19724	200	9	195	195	NUM
fbem-19724	200	10	[	[	SYM
fbem-19724	200	11	3	3	NUM
fbem-19724	200	12	]	]	SYM
fbem-19724	200	13	dimitriu	dimitriu	PROPN
fbem-19724	200	14	,	,	PUNCT
fbem-19724	200	15	m.	m.	NOUN
fbem-19724	200	16	,	,	PUNCT
fbem-19724	200	17	dinu	dinu	PROPN
fbem-19724	200	18	,	,	PUNCT
fbem-19724	200	19	m.	m.	NOUN
fbem-19724	200	20	r.	r.	PROPN
fbem-19724	200	21	,	,	PUNCT
fbem-19724	200	22	&	&	CCONJ
fbem-19724	200	23	caracota	caracota	PROPN
fbem-19724	200	24	,	,	PUNCT
fbem-19724	200	25	r.	r.	PROPN
fbem-19724	200	26	c.	c.	PROPN
fbem-19724	200	27	(	(	PUNCT
fbem-19724	200	28	2014	2014	NUM
fbem-19724	200	29	)	)	PUNCT
fbem-19724	200	30	.	.	PUNCT
fbem-19724	201	1	modelling	model	VERB
fbem-19724	201	2	the	the	DET
fbem-19724	201	3	efficient	efficient	ADJ
fbem-19724	201	4	frontier	frontier	NOUN
fbem-19724	201	5	of	of	ADP
fbem-19724	201	6	investments	investment	NOUN
fbem-19724	201	7	portfolio	portfolio	NOUN
fbem-19724	201	8	.	.	PUNCT
fbem-19724	202	1	knowledge	knowledge	NOUN
fbem-19724	202	2	horizons	horizon	NOUN
fbem-19724	202	3	.	.	PUNCT
fbem-19724	203	1	economics	economic	NOUN
fbem-19724	203	2	,	,	PUNCT
fbem-19724	203	3	6(3	6(3	NUM
fbem-19724	203	4	)	)	PUNCT
fbem-19724	203	5	,	,	PUNCT
fbem-19724	203	6	35	35	NUM
fbem-19724	203	7	.	.	PUNCT
fbem-19724	204	1	[	[	X
fbem-19724	204	2	4	4	NUM
fbem-19724	204	3	]	]	X
fbem-19724	204	4	beste	beste	NOUN
fbem-19724	204	5	,	,	PUNCT
fbem-19724	204	6	a.	a.	NOUN
fbem-19724	204	7	,	,	PUNCT
fbem-19724	204	8	leventhal	leventhal	PROPN
fbem-19724	204	9	,	,	PUNCT
fbem-19724	204	10	d.	d.	PROPN
fbem-19724	204	11	,	,	PUNCT
fbem-19724	204	12	williams	williams	PROPN
fbem-19724	204	13	,	,	PUNCT
fbem-19724	204	14	j.	j.	PROPN
fbem-19724	204	15	,	,	PUNCT
fbem-19724	204	16	&	&	CCONJ
fbem-19724	204	17	lu	lu	PROPN
fbem-19724	204	18	,	,	PUNCT
fbem-19724	204	19	q.	q.	PROPN
fbem-19724	204	20	(	(	PUNCT
fbem-19724	204	21	2002	2002	NUM
fbem-19724	204	22	)	)	PUNCT
fbem-19724	204	23	.	.	PUNCT
fbem-19724	205	1	the	the	DET
fbem-19724	205	2	markowitz	markowitz	PROPN
fbem-19724	205	3	model	model	PROPN
fbem-19724	205	4	.	.	PUNCT
fbem-19724	206	1	selecting	select	VERB
fbem-19724	206	2	an	an	DET
fbem-19724	206	3	efficient	efficient	ADJ
fbem-19724	206	4	investment	investment	NOUN
fbem-19724	206	5	portfolio	portfolio	NOUN
fbem-19724	206	6	.	.	PUNCT
fbem-19724	207	1	lafayette	lafayette	PROPN
fbem-19724	207	2	college	college	PROPN
fbem-19724	207	3	,	,	PUNCT
fbem-19724	207	4	mathematics	mathematics	PROPN
fbem-19724	207	5	reu	reu	PROPN
fbem-19724	207	6	program	program	NOUN
fbem-19724	207	7	.	.	PUNCT
fbem-19724	208	1	[	[	X
fbem-19724	208	2	5	5	NUM
fbem-19724	208	3	]	]	X
fbem-19724	208	4	pandey	pandey	PROPN
fbem-19724	208	5	,	,	PUNCT
fbem-19724	208	6	m.	m.	NOUN
fbem-19724	208	7	(	(	PUNCT
fbem-19724	208	8	2012	2012	NUM
fbem-19724	208	9	)	)	PUNCT
fbem-19724	208	10	.	.	PUNCT
fbem-19724	209	1	application	application	NOUN
fbem-19724	209	2	of	of	ADP
fbem-19724	209	3	markowitz	markowitz	PROPN
fbem-19724	209	4	model	model	PROPN
fbem-19724	209	5	in	in	ADP
fbem-19724	209	6	analyzing	analyze	VERB
fbem-19724	209	7	risk	risk	NOUN
fbem-19724	209	8	and	and	CCONJ
fbem-19724	209	9	return	return	NOUN
fbem-19724	209	10	(	(	PUNCT
fbem-19724	209	11	a	a	DET
fbem-19724	209	12	case	case	NOUN
fbem-19724	209	13	study	study	NOUN
fbem-19724	209	14	of	of	ADP
fbem-19724	209	15	bse	bse	PROPN
fbem-19724	209	16	stock	stock	PROPN
fbem-19724	209	17	)	)	PUNCT
fbem-19724	209	18	.	.	PUNCT
fbem-19724	210	1	ahmedabad	ahmedabad	PROPN
fbem-19724	210	2	chief	chief	PROPN
fbem-19724	210	3	editor	editor	NOUN
fbem-19724	210	4	,	,	PUNCT
fbem-19724	210	5	43(1	43(1	NOUN
fbem-19724	210	6	)	)	PUNCT
fbem-19724	210	7	,	,	PUNCT
fbem-19724	210	8	1	1	NUM
fbem-19724	210	9	-	-	SYM
fbem-19724	210	10	14	14	NUM
fbem-19724	210	11	.	.	PUNCT
fbem-19724	211	1	[	[	X
fbem-19724	211	2	6	6	NUM
fbem-19724	211	3	]	]	X
fbem-19724	211	4	e.	e.	PROPN
fbem-19724	211	5	,	,	PUNCT
fbem-19724	211	6	&	&	CCONJ
fbem-19724	211	7	utz	utz	PROPN
fbem-19724	211	8	,	,	PUNCT
fbem-19724	211	9	s.	s.	PROPN
fbem-19724	211	10	(	(	PUNCT
fbem-19724	211	11	2023	2023	NUM
fbem-19724	211	12	)	)	PUNCT
fbem-19724	211	13	.	.	PUNCT
fbem-19724	212	1	non	non	ADJ
fbem-19724	212	2	-	-	ADJ
fbem-19724	212	3	contour	contour	ADJ
fbem-19724	212	4	efficient	efficient	ADJ
fbem-19724	212	5	fronts	front	NOUN
fbem-19724	212	6	for	for	ADP
fbem-19724	212	7	identifying	identify	VERB
fbem-19724	212	8	most	most	ADV
fbem-19724	212	9	preferred	preferred	ADJ
fbem-19724	212	10	portfolios	portfolio	NOUN
fbem-19724	212	11	in	in	ADP
fbem-19724	212	12	sustainability	sustainability	NOUN
fbem-19724	212	13	investing	investing	NOUN
fbem-19724	212	14	.	.	PUNCT
fbem-19724	213	1	european	european	PROPN
fbem-19724	213	2	journal	journal	PROPN
fbem-19724	213	3	of	of	ADP
fbem-19724	213	4	operational	operational	ADJ
fbem-19724	213	5	research	research	NOUN
fbem-19724	213	6	,	,	PUNCT
fbem-19724	213	7	306(2	306(2	NUM
fbem-19724	213	8	)	)	PUNCT
fbem-19724	213	9	,	,	PUNCT
fbem-19724	213	10	742	742	NUM
fbem-19724	213	11	-	-	SYM
fbem-19724	213	12	753	753	NUM
fbem-19724	213	13	.	.	PUNCT
fbem-19724	214	1	[	[	X
fbem-19724	214	2	7	7	NUM
fbem-19724	214	3	]	]	X
fbem-19724	214	4	bilbao	bilbao	PROPN
fbem-19724	214	5	,	,	PUNCT
fbem-19724	214	6	a.	a.	NOUN
fbem-19724	214	7	,	,	PUNCT
fbem-19724	214	8	arenas	arena	NOUN
fbem-19724	214	9	,	,	PUNCT
fbem-19724	214	10	m.	m.	NOUN
fbem-19724	214	11	,	,	PUNCT
fbem-19724	214	12	jiménez	jiménez	PROPN
fbem-19724	214	13	,	,	PUNCT
fbem-19724	214	14	m.	m.	NOUN
fbem-19724	214	15	,	,	PUNCT
fbem-19724	214	16	perez	perez	PROPN
fbem-19724	214	17	gladish	gladish	PROPN
fbem-19724	214	18	,	,	PUNCT
fbem-19724	214	19	b.	b.	PROPN
fbem-19724	214	20	,	,	PUNCT
fbem-19724	214	21	&	&	CCONJ
fbem-19724	214	22	rodríguez	rodríguez	PROPN
fbem-19724	214	23	,	,	PUNCT
fbem-19724	214	24	m.	m.	NOUN
fbem-19724	214	25	v.	v.	PROPN
fbem-19724	214	26	(	(	PUNCT
fbem-19724	214	27	2006	2006	NUM
fbem-19724	214	28	)	)	PUNCT
fbem-19724	214	29	.	.	PUNCT
fbem-19724	215	1	an	an	DET
fbem-19724	215	2	extension	extension	NOUN
fbem-19724	215	3	of	of	ADP
fbem-19724	215	4	sharpe	sharpe	PROPN
fbem-19724	215	5	's	's	PART
fbem-19724	215	6	singleindex	singleindex	NOUN
fbem-19724	215	7	model	model	NOUN
fbem-19724	215	8	:	:	PUNCT
fbem-19724	215	9	portfolio	portfolio	NOUN
fbem-19724	215	10	selection	selection	NOUN
fbem-19724	215	11	with	with	ADP
fbem-19724	215	12	expert	expert	NOUN
fbem-19724	215	13	betas	beta	NOUN
fbem-19724	215	14	.	.	PUNCT
fbem-19724	216	1	journal	journal	NOUN
fbem-19724	216	2	of	of	ADP
fbem-19724	216	3	the	the	DET
fbem-19724	216	4	operational	operational	ADJ
fbem-19724	216	5	research	research	NOUN
fbem-19724	216	6	society	society	NOUN
fbem-19724	216	7	,	,	PUNCT
fbem-19724	216	8	57	57	NUM
fbem-19724	216	9	,	,	PUNCT
fbem-19724	216	10	1442	1442	NUM
fbem-19724	216	11	-	-	SYM
fbem-19724	216	12	1451	1451	NUM
fbem-19724	216	13	.	.	PUNCT
fbem-19724	217	1	[	[	X
fbem-19724	217	2	8	8	NUM
fbem-19724	217	3	]	]	X
fbem-19724	217	4	huang	huang	PROPN
fbem-19724	217	5	,	,	PUNCT
fbem-19724	217	6	x.	x.	NOUN
fbem-19724	217	7	(	(	PUNCT
fbem-19724	217	8	2012	2012	NUM
fbem-19724	217	9	)	)	PUNCT
fbem-19724	217	10	.	.	PUNCT
fbem-19724	218	1	a	a	DET
fbem-19724	218	2	risk	risk	NOUN
fbem-19724	218	3	index	index	NOUN
fbem-19724	218	4	model	model	NOUN
fbem-19724	218	5	for	for	ADP
fbem-19724	218	6	portfolio	portfolio	NOUN
fbem-19724	218	7	selection	selection	NOUN
fbem-19724	218	8	with	with	ADP
fbem-19724	218	9	returns	return	NOUN
fbem-19724	218	10	subject	subject	ADJ
fbem-19724	218	11	to	to	ADP
fbem-19724	218	12	experts	expert	NOUN
fbem-19724	218	13	’	'	PUNCT
fbem-19724	218	14	estimations	estimation	NOUN
fbem-19724	218	15	.	.	PUNCT
fbem-19724	219	1	fuzzy	fuzzy	ADJ
fbem-19724	219	2	optimization	optimization	NOUN
fbem-19724	219	3	and	and	CCONJ
fbem-19724	219	4	decision	decision	NOUN
fbem-19724	219	5	making	making	NOUN
fbem-19724	219	6	,	,	PUNCT
fbem-19724	219	7	11	11	NUM
fbem-19724	219	8	,	,	PUNCT
fbem-19724	219	9	451	451	NUM
fbem-19724	219	10	-	-	SYM
fbem-19724	219	11	463	463	NUM
fbem-19724	219	12	.	.	PUNCT
fbem-19724	220	1	[	[	X
fbem-19724	220	2	9	9	NUM
fbem-19724	220	3	]	]	X
fbem-19724	220	4	putra	putra	PROPN
fbem-19724	220	5	,	,	PUNCT
fbem-19724	220	6	i.	i.	PROPN
fbem-19724	220	7	k.	k.	PROPN
fbem-19724	220	8	a.	a.	PROPN
fbem-19724	220	9	a.	a.	PROPN
fbem-19724	220	10	s.	s.	PROPN
fbem-19724	220	11	,	,	PUNCT
fbem-19724	220	12	&	&	CCONJ
fbem-19724	220	13	dana	dana	PROPN
fbem-19724	220	14	,	,	PUNCT
fbem-19724	220	15	i.	i.	PROPN
fbem-19724	220	16	m.	m.	PROPN
fbem-19724	220	17	(	(	PUNCT
fbem-19724	220	18	2020	2020	NUM
fbem-19724	220	19	)	)	PUNCT
fbem-19724	220	20	.	.	PUNCT
fbem-19724	221	1	study	study	NOUN
fbem-19724	221	2	of	of	ADP
fbem-19724	221	3	optimal	optimal	ADJ
fbem-19724	221	4	portfolio	portfolio	NOUN
fbem-19724	221	5	performance	performance	NOUN
fbem-19724	221	6	comparison	comparison	NOUN
fbem-19724	221	7	:	:	PUNCT
fbem-19724	221	8	single	single	ADJ
fbem-19724	221	9	index	index	NOUN
fbem-19724	221	10	model	model	NOUN
fbem-19724	221	11	and	and	CCONJ
fbem-19724	221	12	markowitz	markowitz	PROPN
fbem-19724	221	13	model	model	NOUN
fbem-19724	221	14	on	on	ADP
fbem-19724	221	15	lq45	lq45	PROPN
fbem-19724	221	16	stocks	stock	NOUN
fbem-19724	221	17	in	in	ADP
fbem-19724	221	18	indonesia	indonesia	PROPN
fbem-19724	221	19	stock	stock	PROPN
fbem-19724	221	20	exchange	exchange	PROPN
fbem-19724	221	21	.	.	PUNCT
fbem-19724	222	1	[	[	X
fbem-19724	222	2	10	10	NUM
fbem-19724	222	3	]	]	X
fbem-19724	222	4	epanchin	epanchin	PROPN
fbem-19724	222	5	-	-	PUNCT
fbem-19724	222	6	niell	niell	PROPN
fbem-19724	222	7	,	,	PUNCT
fbem-19724	222	8	r.	r.	PROPN
fbem-19724	222	9	,	,	PUNCT
fbem-19724	222	10	&	&	CCONJ
fbem-19724	222	11	siikamäki	siikamäki	PROPN
fbem-19724	222	12	,	,	PUNCT
fbem-19724	222	13	j.	j.	PROPN
fbem-19724	222	14	(	(	PUNCT
fbem-19724	222	15	2015	2015	NUM
fbem-19724	222	16	)	)	PUNCT
fbem-19724	222	17	.	.	PUNCT
fbem-19724	223	1	conservation	conservation	NOUN
fbem-19724	223	2	planning	planning	NOUN
fbem-19724	223	3	:	:	PUNCT
fbem-19724	223	4	a	a	DET
fbem-19724	223	5	review	review	NOUN
fbem-19724	223	6	of	of	ADP
fbem-19724	223	7	return	return	NOUN
fbem-19724	223	8	on	on	ADP
fbem-19724	223	9	investment	investment	NOUN
fbem-19724	223	10	analysis	analysis	NOUN
fbem-19724	223	11	.	.	PUNCT
fbem-19724	224	1	revixwew	revixwew	NOUN
fbem-19724	224	2	of	of	ADP
fbem-19724	224	3	environmental	environmental	ADJ
fbem-19724	224	4	economics	economic	NOUN
fbem-19724	224	5	and	and	CCONJ
fbem-19724	224	6	policy	policy	NOUN
fbem-19724	224	7	.	.	PUNCT