id	sid	tid	token	lemma	pos
asir-36207	1	1	applied	apply	VERB
asir-36207	1	2	science	science	NOUN
asir-36207	1	3	and	and	CCONJ
asir-36207	1	4	innovative	innovative	ADJ
asir-36207	1	5	research	research	NOUN
asir-36207	1	6	issn	issn	VERB
asir-36207	1	7	2474	2474	NUM
asir-36207	1	8	-	-	SYM
asir-36207	1	9	4972	4972	NUM
asir-36207	1	10	(	(	PUNCT
asir-36207	1	11	print	print	NOUN
asir-36207	1	12	)	)	PUNCT
asir-36207	1	13	issn	issn	VERB
asir-36207	1	14	2474	2474	NUM
asir-36207	1	15	-	-	SYM
asir-36207	1	16	4980	4980	NUM
asir-36207	1	17	(	(	PUNCT
asir-36207	1	18	online	online	ADJ
asir-36207	1	19	)	)	PUNCT
asir-36207	1	20	vol	vol	NOUN
asir-36207	1	21	.	.	NOUN
asir-36207	1	22	8	8	NUM
asir-36207	1	23	,	,	PUNCT
asir-36207	1	24	no	no	INTJ
asir-36207	1	25	.	.	NOUN
asir-36207	1	26	1	1	NUM
asir-36207	1	27	,	,	PUNCT
asir-36207	1	28	2024	2024	NUM
asir-36207	1	29	www.scholink.org/ojs/index.php/asir	www.scholink.org/ojs/index.php/asir	NOUN
asir-36207	1	30	185	185	NUM
asir-36207	1	31	original	original	ADJ
asir-36207	1	32	paper	paper	NOUN
asir-36207	1	33	a	a	DET
asir-36207	1	34	prediction	prediction	NOUN
asir-36207	1	35	of	of	ADP
asir-36207	1	36	option	option	NOUN
asir-36207	1	37	price	price	NOUN
asir-36207	1	38	via	via	ADP
asir-36207	1	39	two	two	NUM
asir-36207	1	40	volatility	volatility	NOUN
asir-36207	1	41	computations	computation	NOUN
asir-36207	1	42	with	with	ADP
asir-36207	1	43	application	application	NOUN
asir-36207	1	44	to	to	ADP
asir-36207	1	45	a	a	DET
asir-36207	1	46	50etf	50etf	NOUN
asir-36207	1	47	option	option	NOUN
asir-36207	1	48	yueyan	yueyan	PROPN
asir-36207	1	49	liu1	liu1	PROPN
asir-36207	1	50	&	&	CCONJ
asir-36207	1	51	hengrui	hengrui	PROPN
asir-36207	1	52	song1	song1	PROPN
asir-36207	1	53	1	1	NUM
asir-36207	1	54	international	international	PROPN
asir-36207	1	55	department	department	PROPN
asir-36207	1	56	of	of	ADP
asir-36207	1	57	chengdu	chengdu	PROPN
asir-36207	1	58	shude	shude	PROPN
asir-36207	1	59	high	high	ADJ
asir-36207	1	60	school	school	NOUN
asir-36207	1	61	,	,	PUNCT
asir-36207	1	62	no	no	INTJ
asir-36207	1	63	.	.	NOUN
asir-36207	1	64	398	398	NUM
asir-36207	1	65	bairihong	bairihong	ADJ
asir-36207	1	66	west	west	PROPN
asir-36207	1	67	road	road	PROPN
asir-36207	1	68	,	,	PUNCT
asir-36207	1	69	jinjiang	jinjiang	PROPN
asir-36207	1	70	district	district	PROPN
asir-36207	1	71	,	,	PUNCT
asir-36207	1	72	chengdu	chengdu	PROPN
asir-36207	1	73	610000	610000	NUM
asir-36207	1	74	,	,	PUNCT
asir-36207	1	75	china	china	PROPN
asir-36207	1	76	received	receive	VERB
asir-36207	1	77	:	:	PUNCT
asir-36207	1	78	january	january	PROPN
asir-36207	1	79	24	24	NUM
asir-36207	1	80	,	,	PUNCT
asir-36207	1	81	2024	2024	NUM
asir-36207	1	82	accepted	accept	VERB
asir-36207	1	83	:	:	PUNCT
asir-36207	1	84	february	february	PROPN
asir-36207	1	85	23	23	NUM
asir-36207	1	86	,	,	PUNCT
asir-36207	1	87	2024	2024	NUM
asir-36207	1	88	online	online	ADV
asir-36207	1	89	published	publish	VERB
asir-36207	1	90	:	:	PUNCT
asir-36207	1	91	march	march	PROPN
asir-36207	1	92	4	4	NUM
asir-36207	1	93	,	,	PUNCT
asir-36207	1	94	2024	2024	NUM
asir-36207	1	95	doi:10.22158	doi:10.22158	NOUN
asir-36207	1	96	/	/	SYM
asir-36207	1	97	asir.v8n1p185	asir.v8n1p185	NOUN
asir-36207	1	98	url	url	NOUN
asir-36207	1	99	:	:	PUNCT
asir-36207	1	100	http://doi.org/10.22158/asir.v8n1p185	http://doi.org/10.22158/asir.v8n1p185	PROPN
asir-36207	1	101	abstract	abstract	ADJ
asir-36207	1	102	financial	financial	ADJ
asir-36207	1	103	derivative	derivative	ADJ
asir-36207	1	104	trading	trading	NOUN
asir-36207	1	105	is	be	AUX
asir-36207	1	106	integral	integral	ADJ
asir-36207	1	107	to	to	ADP
asir-36207	1	108	stock	stock	NOUN
asir-36207	1	109	markets	market	NOUN
asir-36207	1	110	,	,	PUNCT
asir-36207	1	111	leading	lead	VERB
asir-36207	1	112	to	to	ADP
asir-36207	1	113	high	high	ADJ
asir-36207	1	114	option	option	NOUN
asir-36207	1	115	price	price	NOUN
asir-36207	1	116	volatility	volatility	NOUN
asir-36207	1	117	due	due	ADP
asir-36207	1	118	to	to	ADP
asir-36207	1	119	increased	increase	VERB
asir-36207	1	120	trading	trading	NOUN
asir-36207	1	121	volume	volume	NOUN
asir-36207	1	122	.	.	PUNCT
asir-36207	2	1	determining	determine	VERB
asir-36207	2	2	a	a	DET
asir-36207	2	3	reasonable	reasonable	ADJ
asir-36207	2	4	option	option	NOUN
asir-36207	2	5	price	price	NOUN
asir-36207	2	6	is	be	AUX
asir-36207	2	7	complex	complex	ADJ
asir-36207	2	8	and	and	CCONJ
asir-36207	2	9	requires	require	VERB
asir-36207	2	10	extensive	extensive	ADJ
asir-36207	2	11	research	research	NOUN
asir-36207	2	12	in	in	ADP
asir-36207	2	13	fields	field	NOUN
asir-36207	2	14	like	like	ADP
asir-36207	2	15	economics	economic	NOUN
asir-36207	2	16	,	,	PUNCT
asir-36207	2	17	applied	apply	VERB
asir-36207	2	18	mathematics	mathematic	NOUN
asir-36207	2	19	,	,	PUNCT
asir-36207	2	20	and	and	CCONJ
asir-36207	2	21	finance	finance	NOUN
asir-36207	2	22	engineering	engineering	NOUN
asir-36207	2	23	.	.	PUNCT
asir-36207	3	1	the	the	DET
asir-36207	3	2	black	black	NOUN
asir-36207	3	3	-	-	PUNCT
asir-36207	3	4	scholes	schole	NOUN
asir-36207	3	5	(	(	PUNCT
asir-36207	3	6	bs	bs	NOUN
asir-36207	3	7	)	)	PUNCT
asir-36207	3	8	equation	equation	NOUN
asir-36207	3	9	provides	provide	VERB
asir-36207	3	10	a	a	DET
asir-36207	3	11	scientific	scientific	ADJ
asir-36207	3	12	pricing	pricing	NOUN
asir-36207	3	13	tool	tool	NOUN
asir-36207	3	14	for	for	ADP
asir-36207	3	15	options	option	NOUN
asir-36207	3	16	by	by	ADP
asir-36207	3	17	considering	consider	VERB
asir-36207	3	18	five	five	NUM
asir-36207	3	19	parameters	parameter	NOUN
asir-36207	3	20	:	:	PUNCT
asir-36207	3	21	stock	stock	NOUN
asir-36207	3	22	price	price	NOUN
asir-36207	3	23	(	(	PUNCT
asir-36207	3	24	s	s	NOUN
asir-36207	3	25	)	)	PUNCT
asir-36207	3	26	,	,	PUNCT
asir-36207	3	27	option	option	NOUN
asir-36207	3	28	strike	strike	NOUN
asir-36207	3	29	price	price	NOUN
asir-36207	3	30	(	(	PUNCT
asir-36207	3	31	k	k	NOUN
asir-36207	3	32	)	)	PUNCT
asir-36207	3	33	,	,	PUNCT
asir-36207	3	34	risk	risk	NOUN
asir-36207	3	35	-	-	PUNCT
asir-36207	3	36	free	free	ADJ
asir-36207	3	37	interest	interest	NOUN
asir-36207	3	38	rate	rate	NOUN
asir-36207	3	39	(	(	PUNCT
asir-36207	3	40	r	r	NOUN
asir-36207	3	41	)	)	PUNCT
asir-36207	3	42	,	,	PUNCT
asir-36207	3	43	time	time	NOUN
asir-36207	3	44	to	to	ADP
asir-36207	3	45	expiration	expiration	NOUN
asir-36207	3	46	(	(	PUNCT
asir-36207	3	47	τ	τ	PROPN
asir-36207	3	48	)	)	PUNCT
asir-36207	3	49	,	,	PUNCT
asir-36207	3	50	and	and	CCONJ
asir-36207	3	51	volatility	volatility	NOUN
asir-36207	3	52	(	(	PUNCT
asir-36207	3	53	σ	σ	NOUN
asir-36207	3	54	)	)	PUNCT
asir-36207	3	55	.	.	PUNCT
asir-36207	4	1	notably	notably	ADV
asir-36207	4	2	,	,	PUNCT
asir-36207	4	3	all	all	DET
asir-36207	4	4	model	model	NOUN
asir-36207	4	5	parameters	parameter	NOUN
asir-36207	4	6	except	except	SCONJ
asir-36207	4	7	volatility	volatility	NOUN
asir-36207	4	8	σ	σ	PROPN
asir-36207	4	9	can	can	AUX
asir-36207	4	10	be	be	AUX
asir-36207	4	11	directly	directly	ADV
asir-36207	4	12	observed	observe	VERB
asir-36207	4	13	from	from	ADP
asir-36207	4	14	market	market	NOUN
asir-36207	4	15	data	datum	NOUN
asir-36207	4	16	,	,	PUNCT
asir-36207	4	17	necessitating	necessitate	VERB
asir-36207	4	18	the	the	DET
asir-36207	4	19	determination	determination	NOUN
asir-36207	4	20	of	of	ADP
asir-36207	4	21	this	this	DET
asir-36207	4	22	parameter	parameter	NOUN
asir-36207	4	23	from	from	ADP
asir-36207	4	24	historical	historical	ADJ
asir-36207	4	25	data	datum	NOUN
asir-36207	4	26	when	when	SCONJ
asir-36207	4	27	applying	apply	VERB
asir-36207	4	28	the	the	DET
asir-36207	4	29	bs	bs	NOUN
asir-36207	4	30	model	model	NOUN
asir-36207	4	31	in	in	ADP
asir-36207	4	32	practice	practice	NOUN
asir-36207	4	33	.	.	PUNCT
asir-36207	5	1	in	in	ADP
asir-36207	5	2	this	this	DET
asir-36207	5	3	report	report	NOUN
asir-36207	5	4	,	,	PUNCT
asir-36207	5	5	we	we	PRON
asir-36207	5	6	examine	examine	VERB
asir-36207	5	7	two	two	NUM
asir-36207	5	8	widely	widely	ADV
asir-36207	5	9	used	use	VERB
asir-36207	5	10	computation	computation	NOUN
asir-36207	5	11	methods	method	NOUN
asir-36207	5	12	for	for	ADP
asir-36207	5	13	volatility	volatility	NOUN
asir-36207	5	14	.	.	PUNCT
asir-36207	6	1	the	the	DET
asir-36207	6	2	first	first	ADJ
asir-36207	6	3	method	method	NOUN
asir-36207	6	4	involves	involve	VERB
asir-36207	6	5	a	a	DET
asir-36207	6	6	simple	simple	ADJ
asir-36207	6	7	statistical	statistical	ADJ
asir-36207	6	8	calculation	calculation	NOUN
asir-36207	6	9	of	of	ADP
asir-36207	6	10	historical	historical	ADJ
asir-36207	6	11	data	datum	NOUN
asir-36207	6	12	,	,	PUNCT
asir-36207	6	13	resulting	result	VERB
asir-36207	6	14	in	in	ADP
asir-36207	6	15	the	the	DET
asir-36207	6	16	historical	historical	ADJ
asir-36207	6	17	volatility	volatility	NOUN
asir-36207	6	18	(	(	PUNCT
asir-36207	6	19	hv	hv	PROPN
asir-36207	6	20	)	)	PUNCT
asir-36207	6	21	.	.	PUNCT
asir-36207	7	1	the	the	DET
asir-36207	7	2	second	second	ADJ
asir-36207	7	3	method	method	NOUN
asir-36207	7	4	utilizes	utilize	VERB
asir-36207	7	5	the	the	DET
asir-36207	7	6	bs	bs	NOUN
asir-36207	7	7	model	model	NOUN
asir-36207	7	8	in	in	ADP
asir-36207	7	9	a	a	DET
asir-36207	7	10	"	"	PUNCT
asir-36207	7	11	backward	backward	ADJ
asir-36207	7	12	"	"	PUNCT
asir-36207	7	13	manner	manner	NOUN
asir-36207	7	14	:	:	PUNCT
asir-36207	7	15	given	give	VERB
asir-36207	7	16	any	any	DET
asir-36207	7	17	previous	previous	ADJ
asir-36207	7	18	option	option	NOUN
asir-36207	7	19	price	price	NOUN
asir-36207	7	20	and	and	CCONJ
asir-36207	7	21	four	four	NUM
asir-36207	7	22	other	other	ADJ
asir-36207	7	23	parameters	parameter	NOUN
asir-36207	7	24	,	,	PUNCT
asir-36207	7	25	we	we	PRON
asir-36207	7	26	solve	solve	VERB
asir-36207	7	27	the	the	DET
asir-36207	7	28	bs	bs	NOUN
asir-36207	7	29	equation	equation	NOUN
asir-36207	7	30	to	to	PART
asir-36207	7	31	obtain	obtain	VERB
asir-36207	7	32	the	the	DET
asir-36207	7	33	implied	imply	VERB
asir-36207	7	34	volatility	volatility	NOUN
asir-36207	7	35	(	(	PUNCT
asir-36207	7	36	iv	iv	NUM
asir-36207	7	37	)	)	PUNCT
asir-36207	7	38	.	.	PUNCT
asir-36207	8	1	to	to	PART
asir-36207	8	2	determine	determine	VERB
asir-36207	8	3	such	such	DET
asir-36207	8	4	an	an	DET
asir-36207	8	5	iv	iv	NUM
asir-36207	8	6	parameter	parameter	NOUN
asir-36207	8	7	,	,	PUNCT
asir-36207	8	8	we	we	PRON
asir-36207	8	9	propose	propose	VERB
asir-36207	8	10	a	a	DET
asir-36207	8	11	generalized	generalized	ADJ
asir-36207	8	12	fixed	fix	VERB
asir-36207	8	13	-	-	PUNCT
asir-36207	8	14	point	point	NOUN
asir-36207	8	15	iterative	iterative	NOUN
asir-36207	8	16	solver	solver	NOUN
asir-36207	8	17	for	for	ADP
asir-36207	8	18	solving	solve	VERB
asir-36207	8	19	a	a	DET
asir-36207	8	20	complex	complex	ADJ
asir-36207	8	21	nonlinear	nonlinear	ADJ
asir-36207	8	22	equation	equation	NOUN
asir-36207	8	23	.	.	PUNCT
asir-36207	9	1	by	by	ADP
asir-36207	9	2	employing	employ	VERB
asir-36207	9	3	a	a	DET
asir-36207	9	4	well	well	ADV
asir-36207	9	5	-	-	PUNCT
asir-36207	9	6	designed	design	VERB
asir-36207	9	7	initial	initial	ADJ
asir-36207	9	8	guess	guess	NOUN
asir-36207	9	9	,	,	PUNCT
asir-36207	9	10	we	we	PRON
asir-36207	9	11	demonstrate	demonstrate	VERB
asir-36207	9	12	that	that	SCONJ
asir-36207	9	13	this	this	DET
asir-36207	9	14	fixed	fix	VERB
asir-36207	9	15	-	-	PUNCT
asir-36207	9	16	point	point	NOUN
asir-36207	9	17	solver	solver	NOUN
asir-36207	9	18	achieves	achieve	VERB
asir-36207	9	19	global	global	ADJ
asir-36207	9	20	and	and	CCONJ
asir-36207	9	21	rapid	rapid	ADJ
asir-36207	9	22	convergence	convergence	NOUN
asir-36207	9	23	.	.	PUNCT
asir-36207	10	1	the	the	DET
asir-36207	10	2	two	two	NUM
asir-36207	10	3	volatilities	volatility	NOUN
asir-36207	10	4	lead	lead	VERB
asir-36207	10	5	to	to	ADP
asir-36207	10	6	different	different	ADJ
asir-36207	10	7	predictions	prediction	NOUN
asir-36207	10	8	of	of	ADP
asir-36207	10	9	the	the	DET
asir-36207	10	10	option	option	NOUN
asir-36207	10	11	price	price	NOUN
asir-36207	10	12	.	.	PUNCT
asir-36207	11	1	this	this	DET
asir-36207	11	2	report	report	NOUN
asir-36207	11	3	examines	examine	VERB
asir-36207	11	4	if	if	SCONJ
asir-36207	11	5	the	the	DET
asir-36207	11	6	bs	bs	NOUN
asir-36207	11	7	model	model	NOUN
asir-36207	11	8	accurately	accurately	ADV
asir-36207	11	9	predicts	predict	VERB
asir-36207	11	10	the	the	DET
asir-36207	11	11	option	option	NOUN
asir-36207	11	12	price	price	NOUN
asir-36207	11	13	using	use	VERB
asir-36207	11	14	these	these	DET
asir-36207	11	15	volatilities	volatility	NOUN
asir-36207	11	16	.	.	PUNCT
asir-36207	12	1	it	it	PRON
asir-36207	12	2	presents	present	VERB
asir-36207	12	3	an	an	DET
asir-36207	12	4	empirical	empirical	ADJ
asir-36207	12	5	study	study	NOUN
asir-36207	12	6	on	on	ADP
asir-36207	12	7	a	a	DET
asir-36207	12	8	50etf	50etf	NOUN
asir-36207	12	9	option	option	NOUN
asir-36207	12	10	,	,	PUNCT
asir-36207	12	11	where	where	SCONJ
asir-36207	12	12	we	we	PRON
asir-36207	12	13	use	use	VERB
asir-36207	12	14	t	t	NOUN
asir-36207	12	15	-	-	PUNCT
asir-36207	12	16	tests	test	NOUN
asir-36207	12	17	to	to	PART
asir-36207	12	18	check	check	VERB
asir-36207	12	19	the	the	DET
asir-36207	12	20	hypothesis	hypothesis	NOUN
asir-36207	12	21	and	and	CCONJ
asir-36207	12	22	determine	determine	VERB
asir-36207	12	23	the	the	DET
asir-36207	12	24	relationship	relationship	NOUN
asir-36207	12	25	between	between	ADP
asir-36207	12	26	predicted	predict	VERB
asir-36207	12	27	and	and	CCONJ
asir-36207	12	28	actual	actual	ADJ
asir-36207	12	29	option	option	NOUN
asir-36207	12	30	prices	price	NOUN
asir-36207	12	31	.	.	PUNCT
asir-36207	13	1	the	the	DET
asir-36207	13	2	study	study	NOUN
asir-36207	13	3	finds	find	VERB
asir-36207	13	4	that	that	SCONJ
asir-36207	13	5	using	use	VERB
asir-36207	13	6	implied	imply	VERB
asir-36207	13	7	volatility	volatility	NOUN
asir-36207	13	8	in	in	ADP
asir-36207	13	9	the	the	DET
asir-36207	13	10	bs	bs	NOUN
asir-36207	13	11	model	model	NOUN
asir-36207	13	12	provides	provide	VERB
asir-36207	13	13	significantly	significantly	ADV
asir-36207	13	14	more	more	ADV
asir-36207	13	15	accurate	accurate	ADJ
asir-36207	13	16	predictions	prediction	NOUN
asir-36207	13	17	compared	compare	VERB
asir-36207	13	18	to	to	ADP
asir-36207	13	19	historical	historical	ADJ
asir-36207	13	20	volatility	volatility	NOUN
asir-36207	13	21	.	.	PUNCT
asir-36207	14	1	keywords	keyword	VERB
asir-36207	14	2	options	option	NOUN
asir-36207	14	3	pricing	pricing	NOUN
asir-36207	14	4	,	,	PUNCT
asir-36207	14	5	black	black	ADJ
asir-36207	14	6	–	–	PUNCT
asir-36207	14	7	scholes	schole	NOUN
asir-36207	14	8	model	model	NOUN
asir-36207	14	9	,	,	PUNCT
asir-36207	14	10	volatility	volatility	NOUN
asir-36207	14	11	,	,	PUNCT
asir-36207	14	12	fixed	fix	VERB
asir-36207	14	13	point	point	NOUN
asir-36207	14	14	iteration	iteration	NOUN
asir-36207	14	15	,	,	PUNCT
asir-36207	14	16	t	t	NOUN
asir-36207	14	17	-	-	PUNCT
asir-36207	14	18	test	test	NOUN
asir-36207	14	19	,	,	PUNCT
asir-36207	14	20	statistical	statistical	ADJ
asir-36207	14	21	computation	computation	NOUN
asir-36207	14	22	www.scholink.org/ojs/index.php/asir	www.scholink.org/ojs/index.php/asir	NOUN
asir-36207	14	23	applied	apply	VERB
asir-36207	14	24	science	science	NOUN
asir-36207	14	25	and	and	CCONJ
asir-36207	14	26	innovative	innovative	ADJ
asir-36207	14	27	research	research	NOUN
asir-36207	14	28	vol	vol	NOUN
asir-36207	14	29	.	.	PROPN
asir-36207	15	1	8	8	NUM
asir-36207	15	2	,	,	PUNCT
asir-36207	15	3	no	no	INTJ
asir-36207	15	4	.	.	NOUN
asir-36207	15	5	1	1	NUM
asir-36207	15	6	,	,	PUNCT
asir-36207	15	7	2024	2024	NUM
asir-36207	15	8	186	186	NUM
asir-36207	15	9	published	publish	VERB
asir-36207	15	10	by	by	ADP
asir-36207	15	11	scholink	scholink	PROPN
asir-36207	15	12	inc	inc	PROPN
asir-36207	15	13	.	.	PROPN
asir-36207	15	14	1	1	NUM
asir-36207	15	15	.	.	X
asir-36207	16	1	introduction	introduction	NOUN
asir-36207	16	2	during	during	ADP
asir-36207	16	3	this	this	DET
asir-36207	16	4	competition	competition	NOUN
asir-36207	16	5	,	,	PUNCT
asir-36207	16	6	we	we	PRON
asir-36207	16	7	mainly	mainly	ADV
asir-36207	16	8	focus	focus	VERB
asir-36207	16	9	on	on	ADP
asir-36207	16	10	how	how	SCONJ
asir-36207	16	11	to	to	PART
asir-36207	16	12	price	price	VERB
asir-36207	16	13	an	an	DET
asir-36207	16	14	option	option	NOUN
asir-36207	16	15	.	.	PUNCT
asir-36207	17	1	for	for	ADP
asir-36207	17	2	this	this	DET
asir-36207	17	3	reason	reason	NOUN
asir-36207	17	4	,	,	PUNCT
asir-36207	17	5	we	we	PRON
asir-36207	17	6	designed	design	VERB
asir-36207	17	7	two	two	NUM
asir-36207	17	8	volatility	volatility	NOUN
asir-36207	17	9	computation	computation	NOUN
asir-36207	17	10	methods	method	NOUN
asir-36207	17	11	,	,	PUNCT
asir-36207	17	12	and	and	CCONJ
asir-36207	17	13	applied	apply	VERB
asir-36207	17	14	the	the	DET
asir-36207	17	15	obtained	obtain	VERB
asir-36207	17	16	volatility	volatility	NOUN
asir-36207	17	17	to	to	ADP
asir-36207	17	18	the	the	DET
asir-36207	17	19	price	price	NOUN
asir-36207	17	20	prediction	prediction	NOUN
asir-36207	17	21	of	of	ADP
asir-36207	17	22	several	several	ADJ
asir-36207	17	23	internationally	internationally	ADV
asir-36207	17	24	renowned	renowned	ADJ
asir-36207	17	25	options	option	NOUN
asir-36207	17	26	such	such	ADJ
asir-36207	17	27	as	as	ADP
asir-36207	17	28	google	google	NOUN
asir-36207	17	29	.	.	PUNCT
asir-36207	18	1	in	in	ADP
asir-36207	18	2	section	section	NOUN
asir-36207	18	3	1.1	1.1	NUM
asir-36207	18	4	,	,	PUNCT
asir-36207	18	5	we	we	PRON
asir-36207	18	6	introduce	introduce	VERB
asir-36207	18	7	the	the	DET
asir-36207	18	8	concepts	concept	NOUN
asir-36207	18	9	of	of	ADP
asir-36207	18	10	an	an	DET
asir-36207	18	11	option	option	NOUN
asir-36207	18	12	,	,	PUNCT
asir-36207	18	13	which	which	PRON
asir-36207	18	14	is	be	AUX
asir-36207	18	15	more	more	ADV
asir-36207	18	16	abstract	abstract	ADJ
asir-36207	18	17	than	than	ADP
asir-36207	18	18	a	a	DET
asir-36207	18	19	stock	stock	NOUN
asir-36207	18	20	or	or	CCONJ
asir-36207	18	21	a	a	DET
asir-36207	18	22	spot	spot	NOUN
asir-36207	18	23	.	.	PUNCT
asir-36207	19	1	then	then	ADV
asir-36207	19	2	,	,	PUNCT
asir-36207	19	3	in	in	ADP
asir-36207	19	4	section	section	NOUN
asir-36207	19	5	1.2	1.2	NUM
asir-36207	19	6	,	,	PUNCT
asir-36207	19	7	we	we	PRON
asir-36207	19	8	introduce	introduce	VERB
asir-36207	19	9	how	how	SCONJ
asir-36207	19	10	to	to	PART
asir-36207	19	11	price	price	VERB
asir-36207	19	12	an	an	DET
asir-36207	19	13	option	option	NOUN
asir-36207	19	14	,	,	PUNCT
asir-36207	19	15	where	where	SCONJ
asir-36207	19	16	we	we	PRON
asir-36207	19	17	mainly	mainly	ADV
asir-36207	19	18	focus	focus	VERB
asir-36207	19	19	on	on	ADP
asir-36207	19	20	the	the	DET
asir-36207	19	21	black	black	NOUN
asir-36207	19	22	-	-	PUNCT
asir-36207	19	23	scholes	schole	NOUN
asir-36207	19	24	(	(	PUNCT
asir-36207	19	25	bs	bs	NOUN
asir-36207	19	26	)	)	PUNCT
asir-36207	19	27	model	model	NOUN
asir-36207	19	28	which	which	PRON
asir-36207	19	29	is	be	AUX
asir-36207	19	30	a	a	DET
asir-36207	19	31	widely	widely	ADV
asir-36207	19	32	used	use	VERB
asir-36207	19	33	finical	finical	ADJ
asir-36207	19	34	tool	tool	NOUN
asir-36207	19	35	.	.	PUNCT
asir-36207	20	1	finally	finally	ADV
asir-36207	20	2	,	,	PUNCT
asir-36207	20	3	in	in	ADP
asir-36207	20	4	section	section	NOUN
asir-36207	20	5	1.3	1.3	NUM
asir-36207	20	6	,	,	PUNCT
asir-36207	20	7	we	we	PRON
asir-36207	20	8	briefly	briefly	ADV
asir-36207	20	9	introduce	introduce	VERB
asir-36207	20	10	the	the	DET
asir-36207	20	11	bs	bs	NOUN
asir-36207	20	12	model	model	NOUN
asir-36207	20	13	and	and	CCONJ
asir-36207	20	14	the	the	DET
asir-36207	20	15	main	main	ADJ
asir-36207	20	16	problem	problem	NOUN
asir-36207	20	17	for	for	ADP
asir-36207	20	18	using	use	VERB
asir-36207	20	19	it	it	PRON
asir-36207	20	20	in	in	ADP
asir-36207	20	21	practice	practice	NOUN
asir-36207	20	22	.	.	PUNCT
asir-36207	21	1	1.1	1.1	NUM
asir-36207	21	2	how	how	SCONJ
asir-36207	21	3	to	to	PART
asir-36207	21	4	price	price	VERB
asir-36207	21	5	an	an	DET
asir-36207	21	6	option	option	NOUN
asir-36207	21	7	the	the	DET
asir-36207	21	8	primary	primary	ADJ
asir-36207	21	9	goal	goal	NOUN
asir-36207	21	10	of	of	ADP
asir-36207	21	11	option	option	NOUN
asir-36207	21	12	pricing	pricing	NOUN
asir-36207	21	13	is	be	AUX
asir-36207	21	14	to	to	PART
asir-36207	21	15	calculate	calculate	VERB
asir-36207	21	16	the	the	DET
asir-36207	21	17	probability	probability	NOUN
asir-36207	21	18	of	of	ADP
asir-36207	21	19	an	an	DET
asir-36207	21	20	option	option	NOUN
asir-36207	21	21	being	be	AUX
asir-36207	21	22	exercised	exercise	VERB
asir-36207	21	23	at	at	ADP
asir-36207	21	24	expiration	expiration	NOUN
asir-36207	21	25	and	and	CCONJ
asir-36207	21	26	assign	assign	VERB
asir-36207	21	27	a	a	DET
asir-36207	21	28	price	price	NOUN
asir-36207	21	29	to	to	ADP
asir-36207	21	30	it	it	PRON
asir-36207	21	31	.	.	PUNCT
asir-36207	22	1	commonly	commonly	ADV
asir-36207	22	2	used	use	VERB
asir-36207	22	3	variables	variable	NOUN
asir-36207	22	4	in	in	ADP
asir-36207	22	5	mathematical	mathematical	ADJ
asir-36207	22	6	models	model	NOUN
asir-36207	22	7	include	include	VERB
asir-36207	22	8	the	the	DET
asir-36207	22	9	underlying	underlie	VERB
asir-36207	22	10	asset	asset	NOUN
asir-36207	22	11	price	price	NOUN
asir-36207	22	12	,	,	PUNCT
asir-36207	22	13	exercise	exercise	NOUN
asir-36207	22	14	price	price	NOUN
asir-36207	22	15	,	,	PUNCT
asir-36207	22	16	volatility	volatility	NOUN
asir-36207	22	17	,	,	PUNCT
asir-36207	22	18	interest	interest	NOUN
asir-36207	22	19	rate	rate	NOUN
asir-36207	22	20	,	,	PUNCT
asir-36207	22	21	and	and	CCONJ
asir-36207	22	22	expiration	expiration	NOUN
asir-36207	22	23	date	date	NOUN
asir-36207	22	24	.	.	PUNCT
asir-36207	23	1	these	these	DET
asir-36207	23	2	models	model	NOUN
asir-36207	23	3	also	also	ADV
asir-36207	23	4	derive	derive	VERB
asir-36207	23	5	risk	risk	NOUN
asir-36207	23	6	factors	factor	NOUN
asir-36207	23	7	or	or	CCONJ
asir-36207	23	8	sensitivities	sensitivity	NOUN
asir-36207	23	9	known	know	VERB
asir-36207	23	10	as	as	ADP
asir-36207	23	11	"	"	PUNCT
asir-36207	23	12	greeks	greeks	PROPN
asir-36207	23	13	"	"	PUNCT
asir-36207	23	14	based	base	VERB
asir-36207	23	15	on	on	ADP
asir-36207	23	16	these	these	DET
asir-36207	23	17	inputs	input	NOUN
asir-36207	23	18	.	.	PUNCT
asir-36207	24	1	the	the	DET
asir-36207	24	2	greeks	greeks	PROPN
asir-36207	24	3	help	help	VERB
asir-36207	24	4	traders	trader	NOUN
asir-36207	24	5	determine	determine	VERB
asir-36207	24	6	how	how	SCONJ
asir-36207	24	7	sensitive	sensitive	ADJ
asir-36207	24	8	a	a	DET
asir-36207	24	9	trade	trade	NOUN
asir-36207	24	10	is	be	AUX
asir-36207	24	11	to	to	PART
asir-36207	24	12	price	price	NOUN
asir-36207	24	13	fluctuations	fluctuation	NOUN
asir-36207	24	14	,	,	PUNCT
asir-36207	24	15	volatility	volatility	NOUN
asir-36207	24	16	changes	change	NOUN
asir-36207	24	17	,	,	PUNCT
asir-36207	24	18	and	and	CCONJ
asir-36207	24	19	time	time	NOUN
asir-36207	24	20	passage	passage	NOUN
asir-36207	24	21	.	.	PUNCT
asir-36207	25	1	longer	long	ADV
asir-36207	25	2	-	-	PUNCT
asir-36207	25	3	dated	date	VERB
asir-36207	25	4	options	option	NOUN
asir-36207	25	5	are	be	AUX
asir-36207	25	6	more	more	ADV
asir-36207	25	7	valuable	valuable	ADJ
asir-36207	25	8	because	because	SCONJ
asir-36207	25	9	they	they	PRON
asir-36207	25	10	have	have	VERB
asir-36207	25	11	a	a	DET
asir-36207	25	12	higher	high	ADJ
asir-36207	25	13	probability	probability	NOUN
asir-36207	25	14	of	of	ADP
asir-36207	25	15	being	be	AUX
asir-36207	25	16	profitable	profitable	ADJ
asir-36207	25	17	at	at	ADP
asir-36207	25	18	expiration	expiration	NOUN
asir-36207	25	19	.	.	PUNCT
asir-36207	26	1	higher	high	ADJ
asir-36207	26	2	volatility	volatility	NOUN
asir-36207	26	3	and	and	CCONJ
asir-36207	26	4	interest	interest	NOUN
asir-36207	26	5	rates	rate	NOUN
asir-36207	26	6	also	also	ADV
asir-36207	26	7	lead	lead	VERB
asir-36207	26	8	to	to	ADP
asir-36207	26	9	higher	high	ADJ
asir-36207	26	10	option	option	NOUN
asir-36207	26	11	prices	price	NOUN
asir-36207	26	12	.	.	PUNCT
asir-36207	27	1	marketable	marketable	ADJ
asir-36207	27	2	options	option	NOUN
asir-36207	27	3	require	require	VERB
asir-36207	27	4	different	different	ADJ
asir-36207	27	5	pricing	pricing	NOUN
asir-36207	27	6	methods	method	NOUN
asir-36207	27	7	than	than	ADP
asir-36207	27	8	non	non	ADJ
asir-36207	27	9	-	-	ADJ
asir-36207	27	10	marketable	marketable	ADJ
asir-36207	27	11	ones	one	NOUN
asir-36207	27	12	.	.	PUNCT
asir-36207	28	1	traded	trade	VERB
asir-36207	28	2	option	option	NOUN
asir-36207	28	3	prices	price	NOUN
asir-36207	28	4	may	may	AUX
asir-36207	28	5	differ	differ	VERB
asir-36207	28	6	from	from	ADP
asir-36207	28	7	predicted	predict	VERB
asir-36207	28	8	values	value	NOUN
asir-36207	28	9	but	but	CCONJ
asir-36207	28	10	having	have	VERB
asir-36207	28	11	a	a	DET
asir-36207	28	12	predicted	predict	VERB
asir-36207	28	13	value	value	NOUN
asir-36207	28	14	helps	help	VERB
asir-36207	28	15	assess	assess	VERB
asir-36207	28	16	the	the	DET
asir-36207	28	17	probability	probability	NOUN
asir-36207	28	18	of	of	ADP
asir-36207	28	19	profiting	profit	VERB
asir-36207	28	20	from	from	ADP
asir-36207	28	21	trading	trade	VERB
asir-36207	28	22	those	those	DET
asir-36207	28	23	options	option	NOUN
asir-36207	28	24	.	.	PUNCT
asir-36207	29	1	in	in	ADP
asir-36207	29	2	modern	modern	ADJ
asir-36207	29	3	-	-	PUNCT
asir-36207	29	4	day	day	NOUN
asir-36207	29	5	options	option	NOUN
asir-36207	29	6	market	market	NOUN
asir-36207	29	7	,	,	PUNCT
asir-36207	29	8	fischer	fischer	PROPN
asir-36207	29	9	black	black	PROPN
asir-36207	29	10	and	and	CCONJ
asir-36207	29	11	myron	myron	PROPN
asir-36207	29	12	scholes	scholes	PROPN
asir-36207	29	13	'	'	PART
asir-36207	29	14	1973	1973	NUM
asir-36207	29	15	model	model	NOUN
asir-36207	29	16	(	(	PUNCT
asir-36207	29	17	black	black	ADJ
asir-36207	29	18	-	-	PUNCT
asir-36207	29	19	scholes	schole	NOUN
asir-36207	29	20	formula	formula	NOUN
asir-36207	29	21	)	)	PUNCT
asir-36207	29	22	is	be	AUX
asir-36207	29	23	commonly	commonly	ADV
asir-36207	29	24	used	use	VERB
asir-36207	29	25	for	for	ADP
asir-36207	29	26	deriving	derive	VERB
asir-36207	29	27	theoretical	theoretical	ADJ
asir-36207	29	28	prices	price	NOUN
asir-36207	29	29	for	for	ADP
asir-36207	29	30	financial	financial	ADJ
asir-36207	29	31	instruments	instrument	NOUN
asir-36207	29	32	with	with	ADP
asir-36207	29	33	known	know	VERB
asir-36207	29	34	expiration	expiration	NOUN
asir-36207	29	35	dates	date	NOUN
asir-36207	29	36	.	.	PUNCT
asir-36207	30	1	however	however	ADV
asir-36207	30	2	,	,	PUNCT
asir-36207	30	3	there	there	PRON
asir-36207	30	4	are	be	VERB
asir-36207	30	5	other	other	ADJ
asir-36207	30	6	models	model	NOUN
asir-36207	30	7	available	available	ADJ
asir-36207	30	8	such	such	ADJ
asir-36207	30	9	as	as	ADP
asir-36207	30	10	the	the	DET
asir-36207	30	11	cox	cox	PROPN
asir-36207	30	12	-	-	PUNCT
asir-36207	30	13	ross	ross	PROPN
asir-36207	30	14	-	-	PUNCT
asir-36207	30	15	rubinstein	rubinstein	ADJ
asir-36207	30	16	binomial	binomial	ADJ
asir-36207	30	17	option	option	NOUN
asir-36207	30	18	pricing	pricing	NOUN
asir-36207	30	19	model	model	NOUN
asir-36207	30	20	and	and	CCONJ
asir-36207	30	21	monte	monte	PROPN
asir-36207	30	22	carlo	carlo	PROPN
asir-36207	30	23	simulations	simulation	NOUN
asir-36207	30	24	.	.	PUNCT
asir-36207	31	1	2	2	X
asir-36207	31	2	.	.	X
asir-36207	31	3	basis	basis	NOUN
asir-36207	31	4	of	of	ADP
asir-36207	31	5	the	the	DET
asir-36207	31	6	black	black	ADJ
asir-36207	31	7	-	-	PUNCT
asir-36207	31	8	scholes	schole	NOUN
asir-36207	31	9	model	model	NOUN
asir-36207	31	10	bs	bs	PROPN
asir-36207	31	11	model	model	NOUN
asir-36207	31	12	is	be	AUX
asir-36207	31	13	a	a	DET
asir-36207	31	14	mathematical	mathematical	ADJ
asir-36207	31	15	tool	tool	NOUN
asir-36207	31	16	for	for	ADP
asir-36207	31	17	pricing	price	VERB
asir-36207	31	18	financial	financial	ADJ
asir-36207	31	19	derivatives	derivative	NOUN
asir-36207	31	20	,	,	PUNCT
asir-36207	31	21	such	such	ADJ
asir-36207	31	22	as	as	ADP
asir-36207	31	23	options	option	NOUN
asir-36207	31	24	or	or	CCONJ
asir-36207	31	25	warrants	warrant	NOUN
asir-36207	31	26	.	.	PUNCT
asir-36207	32	1	it	it	PRON
asir-36207	32	2	is	be	AUX
asir-36207	32	3	proposed	propose	VERB
asir-36207	32	4	in	in	ADP
asir-36207	32	5	1970s	1970s	NUM
asir-36207	32	6	by	by	ADP
asir-36207	32	7	american	american	ADJ
asir-36207	32	8	economist	economist	NOUN
asir-36207	32	9	,	,	PUNCT
asir-36207	32	10	myron	myron	PROPN
asir-36207	32	11	scholes	scholes	PROPN
asir-36207	32	12	and	and	CCONJ
asir-36207	32	13	fischer	fischer	PROPN
asir-36207	32	14	black	black	NOUN
asir-36207	32	15	,	,	PUNCT
asir-36207	32	16	and	and	CCONJ
asir-36207	32	17	modified	modify	VERB
asir-36207	32	18	by	by	ADP
asir-36207	32	19	robert	robert	PROPN
asir-36207	32	20	merton	merton	PROPN
asir-36207	32	21	.	.	PUNCT
asir-36207	33	1	in	in	ADP
asir-36207	33	2	this	this	DET
asir-36207	33	3	section	section	NOUN
asir-36207	33	4	,	,	PUNCT
asir-36207	33	5	we	we	PRON
asir-36207	33	6	briefly	briefly	ADV
asir-36207	33	7	explain	explain	VERB
asir-36207	33	8	the	the	DET
asir-36207	33	9	math	math	NOUN
asir-36207	33	10	of	of	ADP
asir-36207	33	11	this	this	DET
asir-36207	33	12	model	model	NOUN
asir-36207	33	13	and	and	CCONJ
asir-36207	33	14	how	how	SCONJ
asir-36207	33	15	to	to	PART
asir-36207	33	16	use	use	VERB
asir-36207	33	17	it	it	PRON
asir-36207	33	18	in	in	ADP
asir-36207	33	19	practice	practice	NOUN
asir-36207	33	20	.	.	PUNCT
asir-36207	34	1	2.1	2.1	NUM
asir-36207	34	2	math	math	NOUN
asir-36207	34	3	of	of	ADP
asir-36207	34	4	bs	bs	PROPN
asir-36207	34	5	model	model	NOUN
asir-36207	34	6	throughout	throughout	ADP
asir-36207	34	7	this	this	DET
asir-36207	34	8	report	report	NOUN
asir-36207	34	9	,	,	PUNCT
asir-36207	34	10	we	we	PRON
asir-36207	34	11	consider	consider	VERB
asir-36207	34	12	a	a	DET
asir-36207	34	13	european	european	ADJ
asir-36207	34	14	call	call	NOUN
asir-36207	34	15	option	option	NOUN
asir-36207	34	16	(	(	PUNCT
asir-36207	34	17	an	an	DET
asir-36207	34	18	extension	extension	NOUN
asir-36207	34	19	to	to	ADP
asir-36207	34	20	american	american	ADJ
asir-36207	34	21	option	option	NOUN
asir-36207	34	22	will	will	AUX
asir-36207	34	23	be	be	AUX
asir-36207	34	24	discussed	discuss	VERB
asir-36207	34	25	in	in	ADP
asir-36207	34	26	section	section	NOUN
asir-36207	34	27	6	6	NUM
asir-36207	34	28	)	)	PUNCT
asir-36207	34	29	.	.	PUNCT
asir-36207	35	1	denote	denote	VERB
asir-36207	35	2	the	the	DET
asir-36207	35	3	strike	strike	NOUN
asir-36207	35	4	price	price	NOUN
asir-36207	35	5	of	of	ADP
asir-36207	35	6	an	an	DET
asir-36207	35	7	option	option	NOUN
asir-36207	35	8	by	by	ADP
asir-36207	35	9	k	k	PROPN
asir-36207	35	10	and	and	CCONJ
asir-36207	35	11	the	the	DET
asir-36207	35	12	maturity	maturity	NOUN
asir-36207	35	13	by	by	ADP
asir-36207	35	14	t.	t.	NOUN
asir-36207	35	15	we	we	PRON
asir-36207	35	16	assume	assume	VERB
asir-36207	35	17	that	that	SCONJ
asir-36207	35	18	there	there	PRON
asir-36207	35	19	is	be	VERB
asir-36207	35	20	no	no	DET
asir-36207	35	21	dividend	dividend	NOUN
asir-36207	35	22	payment	payment	NOUN
asir-36207	35	23	and	and	CCONJ
asir-36207	35	24	the	the	DET
asir-36207	35	25	base	base	NOUN
asir-36207	35	26	stock	stock	NOUN
asir-36207	35	27	price	price	NOUN
asir-36207	35	28	st	st	PROPN
asir-36207	35	29	satisfies	satisfy	VERB
asir-36207	35	30	the	the	DET
asir-36207	35	31	geometric	geometric	ADJ
asir-36207	35	32	brownian	brownian	ADJ
asir-36207	35	33	motion	motion	NOUN
asir-36207	35	34	:	:	PUNCT
asir-36207	35	35	dst	dst	PROPN
asir-36207	35	36	=	=	SYM
asir-36207	35	37	μstdt+σdwt	μstdt+σdwt	PROPN
asir-36207	35	38	,	,	PUNCT
asir-36207	35	39	where	where	SCONJ
asir-36207	35	40	wt	wt	NOUN
asir-36207	35	41	is	be	AUX
asir-36207	35	42	the	the	DET
asir-36207	35	43	standard	standard	ADJ
asir-36207	35	44	brownian	brownian	ADJ
asir-36207	35	45	motion	motion	NOUN
asir-36207	35	46	.	.	PUNCT
asir-36207	36	1	assume	assume	VERB
asir-36207	36	2	that	that	SCONJ
asir-36207	36	3	there	there	PRON
asir-36207	36	4	is	be	VERB
asir-36207	36	5	a	a	DET
asir-36207	36	6	$	$	SYM
asir-36207	36	7	1	1	NUM
asir-36207	36	8	cash	cash	NOUN
asir-36207	36	9	account	account	NOUN
asir-36207	36	10	at	at	ADP
asir-36207	36	11	the	the	DET
asir-36207	36	12	initial	initial	ADJ
asir-36207	36	13	time	time	NOUN
asir-36207	36	14	t=0	t=0	PUNCT
asir-36207	36	15	,	,	PUNCT
asir-36207	36	16	and	and	CCONJ
asir-36207	36	17	this	this	DET
asir-36207	36	18	cash	cash	NOUN
asir-36207	36	19	account	account	NOUN
asir-36207	36	20	has	have	VERB
asir-36207	36	21	a	a	DET
asir-36207	36	22	value	value	NOUN
asir-36207	36	23	of	of	ADP
asir-36207	36	24	exp(rt	exp(rt	ADJ
asir-36207	36	25	)	)	PUNCT
asir-36207	36	26	at	at	ADP
asir-36207	36	27	time	time	NOUN
asir-36207	36	28	t	t	PROPN
asir-36207	36	29	,	,	PUNCT
asir-36207	36	30	where	where	SCONJ
asir-36207	36	31	r	r	NOUN
asir-36207	36	32	is	be	AUX
asir-36207	36	33	the	the	DET
asir-36207	36	34	risk	risk	NOUN
asir-36207	36	35	-	-	PUNCT
asir-36207	36	36	free	free	ADJ
asir-36207	36	37	interest	interest	NOUN
asir-36207	36	38	rate	rate	NOUN
asir-36207	36	39	.	.	PUNCT
asir-36207	37	1	therefore	therefore	ADV
asir-36207	37	2	,	,	PUNCT
asir-36207	37	3	it	it	PRON
asir-36207	37	4	holds	hold	VERB
asir-36207	37	5	that	that	SCONJ
asir-36207	37	6	dbt	dbt	PROPN
asir-36207	37	7	=	=	SYM
asir-36207	37	8	rbtdt	rbtdt	PROPN
asir-36207	37	9	.	.	PUNCT
asir-36207	38	1	denote	denote	VERB
asir-36207	38	2	the	the	DET
asir-36207	38	3	price	price	NOUN
asir-36207	38	4	of	of	ADP
asir-36207	38	5	call	call	NOUN
asir-36207	38	6	option	option	NOUN
asir-36207	38	7	at	at	ADP
asir-36207	38	8	time	time	NOUN
asir-36207	38	9	t	t	NOUN
asir-36207	38	10	by	by	ADP
asir-36207	38	11	c(s	c(	NOUN
asir-36207	38	12	,	,	PUNCT
asir-36207	38	13	t	t	PROPN
asir-36207	38	14	)	)	PUNCT
asir-36207	38	15	.	.	PUNCT
asir-36207	39	1	according	accord	VERB
asir-36207	39	2	to	to	ADP
asir-36207	39	3	itô	itô	PROPN
asir-36207	39	4	's	's	PART
asir-36207	39	5	lemma	lemma	PROPN
asir-36207	39	6	,	,	PUNCT
asir-36207	39	7	we	we	PRON
asir-36207	39	8	have	have	VERB
asir-36207	39	9	www.scholink.org/ojs/index.php/asir	www.scholink.org/ojs/index.php/asir	NOUN
asir-36207	39	10	applied	apply	VERB
asir-36207	39	11	science	science	NOUN
asir-36207	39	12	and	and	CCONJ
asir-36207	39	13	innovative	innovative	ADJ
asir-36207	39	14	research	research	NOUN
asir-36207	39	15	vol	vol	NOUN
asir-36207	39	16	.	.	PROPN
asir-36207	39	17	8	8	NUM
asir-36207	39	18	,	,	PUNCT
asir-36207	39	19	no	no	INTJ
asir-36207	39	20	.	.	NOUN
asir-36207	39	21	1	1	NUM
asir-36207	39	22	,	,	PUNCT
asir-36207	39	23	2024	2024	NUM
asir-36207	39	24	187	187	NUM
asir-36207	39	25	published	publish	VERB
asir-36207	39	26	by	by	ADP
asir-36207	39	27	scholink	scholink	PROPN
asir-36207	39	28	inc	inc	PROPN
asir-36207	39	29	.	.	PROPN
asir-36207	39	30	2	2	NUM
asir-36207	39	31	2	2	NUM
asir-36207	39	32	2	2	NUM
asir-36207	39	33	2	2	NUM
asir-36207	39	34	1	1	NUM
asir-36207	39	35	(	(	PUNCT
asir-36207	39	36	,	,	PUNCT
asir-36207	39	37	)	)	PUNCT
asir-36207	39	38	(	(	PUNCT
asir-36207	39	39	)	)	PUNCT
asir-36207	39	40	2	2	NUM
asir-36207	39	41	t	t	NOUN
asir-36207	39	42	t	t	NOUN
asir-36207	39	43	t	t	PROPN
asir-36207	39	44	t	t	NOUN
asir-36207	39	45	c	c	NOUN
asir-36207	39	46	c	c	NOUN
asir-36207	39	47	c	c	PROPN
asir-36207	39	48	c	c	PROPN
asir-36207	39	49	dc	dc	PROPN
asir-36207	39	50	s	s	PROPN
asir-36207	39	51	t	t	PROPN
asir-36207	39	52	s	s	X
asir-36207	39	53	s	s	NOUN
asir-36207	39	54	dt	dt	X
asir-36207	39	55	s	s	PROPN
asir-36207	39	56	dw	dw	PROPN
asir-36207	39	57	t	t	PROPN
asir-36207	39	58	s	s	PART
asir-36207	39	59	s	s	NOUN
asir-36207	39	60	s	s	NOUN
asir-36207	39	61			NOUN
asir-36207	39	62			X
asir-36207	39	63			X
asir-36207	39	64			ADJ
asir-36207	39	65			ADJ
asir-36207	39	66			ADJ
asir-36207	39	67			PROPN
asir-36207	39	68			PROPN
asir-36207	39	69			PROPN
asir-36207	39	70			PUNCT
asir-36207	39	71			PUNCT
asir-36207	39	72			ADJ
asir-36207	39	73			ADJ
asir-36207	39	74			ADJ
asir-36207	39	75			PROPN
asir-36207	39	76	.	.	PUNCT
asir-36207	40	1	next	next	ADV
asir-36207	40	2	,	,	PUNCT
asir-36207	40	3	we	we	PRON
asir-36207	40	4	construct	construct	VERB
asir-36207	40	5	a	a	DET
asir-36207	40	6	self	self	NOUN
asir-36207	40	7	-	-	PUNCT
asir-36207	40	8	financing	finance	VERB
asir-36207	40	9	portfolio	portfolio	NOUN
asir-36207	40	10	(	(	PUNCT
asir-36207	40	11	no	no	DET
asir-36207	40	12	external	external	ADJ
asir-36207	40	13	money	money	NOUN
asir-36207	40	14	inflows	inflow	NOUN
asir-36207	40	15	or	or	CCONJ
asir-36207	40	16	outflows	outflow	NOUN
asir-36207	40	17	)	)	PUNCT
asir-36207	40	18	пt	пt	NOUN
asir-36207	40	19	.	.	PUNCT
asir-36207	41	1	we	we	PRON
asir-36207	41	2	assume	assume	VERB
asir-36207	41	3	that	that	SCONJ
asir-36207	41	4	at	at	ADP
asir-36207	41	5	the	the	DET
asir-36207	41	6	time	time	NOUN
asir-36207	41	7	t	t	NOUN
asir-36207	41	8	we	we	PRON
asir-36207	41	9	hold	hold	VERB
asir-36207	41	10	xt	xt	ADP
asir-36207	41	11	units	unit	NOUN
asir-36207	41	12	of	of	ADP
asir-36207	41	13	cash	cash	NOUN
asir-36207	41	14	account	account	NOUN
asir-36207	41	15	and	and	CCONJ
asir-36207	41	16	yt	yt	PROPN
asir-36207	41	17	units	unit	NOUN
asir-36207	41	18	of	of	ADP
asir-36207	41	19	stock	stock	NOUN
asir-36207	41	20	.	.	PUNCT
asir-36207	42	1	so	so	ADV
asir-36207	42	2	,	,	PUNCT
asir-36207	42	3	пt	пt	ADJ
asir-36207	42	4	=	=	NOUN
asir-36207	42	5	xtbt+ytst	xtbt+ytst	PROPN
asir-36207	42	6	.	.	PUNCT
asir-36207	43	1	we	we	PRON
asir-36207	43	2	choose	choose	VERB
asir-36207	43	3	the	the	DET
asir-36207	43	4	value	value	NOUN
asir-36207	43	5	of	of	ADP
asir-36207	43	6	xt	xt	PROPN
asir-36207	43	7	and	and	CCONJ
asir-36207	43	8	yt	yt	VERB
asir-36207	43	9	to	to	PART
asir-36207	43	10	replicate	replicate	VERB
asir-36207	43	11	the	the	DET
asir-36207	43	12	value	value	NOUN
asir-36207	43	13	of	of	ADP
asir-36207	43	14	the	the	DET
asir-36207	43	15	call	call	NOUN
asir-36207	43	16	option	option	NOUN
asir-36207	43	17	.	.	PUNCT
asir-36207	44	1	based	base	VERB
asir-36207	44	2	on	on	ADP
asir-36207	44	3	the	the	DET
asir-36207	44	4	self	self	NOUN
asir-36207	44	5	-	-	PUNCT
asir-36207	44	6	financing	financing	NOUN
asir-36207	44	7	assumption	assumption	NOUN
asir-36207	44	8	,	,	PUNCT
asir-36207	44	9	we	we	PRON
asir-36207	44	10	get	get	VERB
asir-36207	44	11	d∏t	d∏t	NOUN
asir-36207	44	12	=	=	NOUN
asir-36207	44	13	xtdbt+ytdst=(rxtbt+μytst)dt+σytstdwt	xtdbt+ytdst=(rxtbt+μytst)dt+σytstdwt	PROPN
asir-36207	44	14	.	.	PUNCT
asir-36207	45	1	by	by	ADP
asir-36207	45	2	matching	match	VERB
asir-36207	45	3	the	the	DET
asir-36207	45	4	corresponding	corresponding	ADJ
asir-36207	45	5	terms	term	NOUN
asir-36207	45	6	of	of	ADP
asir-36207	45	7	the	the	DET
asir-36207	45	8	previous	previous	ADJ
asir-36207	45	9	two	two	NUM
asir-36207	45	10	equations	equation	NOUN
asir-36207	45	11	,	,	PUNCT
asir-36207	45	12	it	it	PRON
asir-36207	45	13	is	be	AUX
asir-36207	45	14	clear	clear	ADJ
asir-36207	45	15	that	that	SCONJ
asir-36207	45	16	2	2	NUM
asir-36207	45	17	2	2	NUM
asir-36207	45	18	2	2	NUM
asir-36207	45	19	2	2	NUM
asir-36207	45	20	1	1	NUM
asir-36207	45	21	,	,	PUNCT
asir-36207	45	22	2	2	NUM
asir-36207	45	23	t	t	NOUN
asir-36207	45	24	t	t	NOUN
asir-36207	45	25	t	t	PROPN
asir-36207	45	26	t	t	NOUN
asir-36207	45	27	c	c	NOUN
asir-36207	45	28	c	c	NOUN
asir-36207	45	29	c	c	X
asir-36207	45	30	y	y	PROPN
asir-36207	45	31	rx	rx	VERB
asir-36207	45	32	b	b	PROPN
asir-36207	45	33	s	s	X
asir-36207	45	34	s	s	X
asir-36207	45	35	s	s	X
asir-36207	45	36	s	s	X
asir-36207	45	37			ADJ
asir-36207	45	38			ADJ
asir-36207	45	39			ADJ
asir-36207	45	40			PROPN
asir-36207	45	41			PROPN
asir-36207	45	42			PROPN
asir-36207	45	43			ADJ
asir-36207	45	44			ADJ
asir-36207	45	45			ADJ
asir-36207	45	46			PROPN
asir-36207	45	47	.	.	PUNCT
asir-36207	46	1	let	let	VERB
asir-36207	46	2	v0	v0	NOUN
asir-36207	46	3	=	=	SYM
asir-36207	46	4	c0	c0	NOUN
asir-36207	46	5	be	be	AUX
asir-36207	46	6	the	the	DET
asir-36207	46	7	starting	starting	NOUN
asir-36207	46	8	value	value	NOUN
asir-36207	46	9	of	of	ADP
asir-36207	46	10	the	the	DET
asir-36207	46	11	self	self	NOUN
asir-36207	46	12	-	-	PUNCT
asir-36207	46	13	financing	finance	VERB
asir-36207	46	14	portfolio	portfolio	NOUN
asir-36207	46	15	,	,	PUNCT
asir-36207	46	16	and	and	CCONJ
asir-36207	46	17	then	then	ADV
asir-36207	46	18	we	we	PRON
asir-36207	46	19	have	have	VERB
asir-36207	46	20	vt	vt	PROPN
asir-36207	46	21	=	=	NOUN
asir-36207	46	22	ct	ct	PROPN
asir-36207	46	23	for	for	ADP
asir-36207	46	24	any	any	DET
asir-36207	46	25	t>0	t>0	NOUN
asir-36207	46	26	.	.	PUNCT
asir-36207	47	1	substituting	substitute	VERB
asir-36207	47	2	the	the	DET
asir-36207	47	3	first	first	ADJ
asir-36207	47	4	two	two	NUM
asir-36207	47	5	equations	equation	NOUN
asir-36207	47	6	into	into	ADP
asir-36207	47	7	ct	ct	PROPN
asir-36207	47	8	=	=	NOUN
asir-36207	47	9	xtbt+ytst	xtbt+ytst	PROPN
asir-36207	47	10	gives	give	VERB
asir-36207	47	11	the	the	DET
asir-36207	47	12	following	follow	VERB
asir-36207	47	13	pdes	pde	NOUN
asir-36207	47	14	(	(	PUNCT
asir-36207	47	15	the	the	DET
asir-36207	47	16	well	well	ADV
asir-36207	47	17	-	-	PUNCT
asir-36207	47	18	known	know	VERB
asir-36207	47	19	bs	bs	NOUN
asir-36207	47	20	equation	equation	NOUN
asir-36207	47	21	):	):	PUNCT
asir-36207	47	22	2	2	NUM
asir-36207	47	23	2	2	NUM
asir-36207	47	24	2	2	NUM
asir-36207	47	25	2	2	NUM
asir-36207	47	26	1	1	NUM
asir-36207	47	27	2	2	NUM
asir-36207	47	28	t	t	NOUN
asir-36207	47	29	t	t	NOUN
asir-36207	48	1	c	c	NOUN
asir-36207	48	2	c	c	NOUN
asir-36207	48	3	c	c	NOUN
asir-36207	48	4	rs	rs	PROPN
asir-36207	48	5	s	s	PROPN
asir-36207	48	6	rc	rc	PROPN
asir-36207	48	7	t	t	PROPN
asir-36207	48	8	s	s	PART
asir-36207	48	9	s	s	PART
asir-36207	48	10			PROPN
asir-36207	48	11			ADJ
asir-36207	48	12			ADJ
asir-36207	48	13			PROPN
asir-36207	48	14			PROPN
asir-36207	48	15			PUNCT
asir-36207	48	16			PROPN
asir-36207	48	17			ADJ
asir-36207	48	18			ADJ
asir-36207	48	19			PROPN
asir-36207	48	20	.	.	PUNCT
asir-36207	49	1	(	(	PUNCT
asir-36207	49	2	2.1	2.1	NUM
asir-36207	49	3	)	)	PUNCT
asir-36207	49	4	now	now	ADV
asir-36207	49	5	,	,	PUNCT
asir-36207	49	6	we	we	PRON
asir-36207	49	7	explain	explain	VERB
asir-36207	49	8	how	how	SCONJ
asir-36207	49	9	to	to	PART
asir-36207	49	10	derive	derive	VERB
asir-36207	49	11	an	an	DET
asir-36207	49	12	analytic	analytic	ADJ
asir-36207	49	13	solution	solution	NOUN
asir-36207	49	14	of	of	ADP
asir-36207	49	15	the	the	DET
asir-36207	49	16	above	above	ADJ
asir-36207	49	17	bs	bs	NOUN
asir-36207	49	18	equation	equation	NOUN
asir-36207	49	19	(	(	PUNCT
asir-36207	49	20	2.1	2.1	NUM
asir-36207	49	21	)	)	PUNCT
asir-36207	49	22	.	.	PUNCT
asir-36207	50	1	first	first	ADV
asir-36207	50	2	,	,	PUNCT
asir-36207	50	3	this	this	DET
asir-36207	50	4	pde	pde	NOUN
asir-36207	50	5	can	can	AUX
asir-36207	50	6	be	be	AUX
asir-36207	50	7	transformed	transform	VERB
asir-36207	50	8	into	into	ADP
asir-36207	50	9	the	the	DET
asir-36207	50	10	heat	heat	NOUN
asir-36207	50	11	equation	equation	NOUN
asir-36207	50	12	2	2	NUM
asir-36207	50	13	2	2	NUM
asir-36207	50	14	2	2	NUM
asir-36207	50	15	1	1	NUM
asir-36207	50	16	2	2	NUM
asir-36207	50	17	u	u	NOUN
asir-36207	50	18	u	u	NOUN
asir-36207	50	19	r	r	NOUN
asir-36207	50	20	x	x	SYM
asir-36207	50	21			PROPN
asir-36207	50	22			ADJ
asir-36207	50	23			ADJ
asir-36207	50	24			PROPN
asir-36207	50	25			ADJ
asir-36207	50	26			PROPN
asir-36207	50	27	.	.	PUNCT
asir-36207	51	1	by	by	ADP
asir-36207	51	2	employing	employ	VERB
asir-36207	51	3	a	a	DET
asir-36207	51	4	variable	variable	ADJ
asir-36207	51	5	replacement	replacement	NOUN
asir-36207	51	6	τ	τ	PROPN
asir-36207	51	7	=	=	PROPN
asir-36207	51	8	t	t	PROPN
asir-36207	51	9	-	-	PUNCT
asir-36207	51	10	t	t	PROPN
asir-36207	51	11	,	,	PUNCT
asir-36207	51	12	u	u	NOUN
asir-36207	51	13	=	=	NOUN
asir-36207	51	14	ceτr	ceτr	NOUN
asir-36207	51	15	,	,	PUNCT
asir-36207	51	16	x	x	NOUN
asir-36207	51	17	=	=	NOUN
asir-36207	51	18	lns+(r-0.5σ)τ	lns+(r-0.5σ)τ	X
asir-36207	51	19	.	.	PUNCT
asir-36207	52	1	let	let	VERB
asir-36207	52	2	the	the	DET
asir-36207	52	3	boundary	boundary	ADJ
asir-36207	52	4	condition	condition	NOUN
asir-36207	52	5	for	for	ADP
asir-36207	52	6	the	the	DET
asir-36207	52	7	above	above	ADJ
asir-36207	52	8	heat	heat	NOUN
asir-36207	52	9	equation	equation	NOUN
asir-36207	52	10	be	be	AUX
asir-36207	52	11	u(x,0)=u0(x	u(x,0)=u0(x	NOUN
asir-36207	52	12	)	)	PUNCT
asir-36207	52	13	.	.	PUNCT
asir-36207	53	1	then	then	ADV
asir-36207	53	2	,	,	PUNCT
asir-36207	53	3	we	we	PRON
asir-36207	53	4	can	can	AUX
asir-36207	53	5	represent	represent	VERB
asir-36207	53	6	the	the	DET
asir-36207	53	7	solution	solution	NOUN
asir-36207	53	8	for	for	ADP
asir-36207	53	9	the	the	DET
asir-36207	53	10	equation	equation	NOUN
asir-36207	53	11	in	in	ADP
asir-36207	53	12	closed	closed	ADJ
asir-36207	53	13	form	form	NOUN
asir-36207	53	14	as	as	ADP
asir-36207	53	15	2	2	NUM
asir-36207	53	16	0	0	NUM
asir-36207	53	17	2	2	NUM
asir-36207	53	18	1	1	NUM
asir-36207	53	19	(	(	PUNCT
asir-36207	53	20	)	)	PUNCT
asir-36207	53	21	(	(	PUNCT
asir-36207	53	22	,	,	PUNCT
asir-36207	53	23	)	)	PUNCT
asir-36207	53	24	(	(	PUNCT
asir-36207	53	25	)	)	PUNCT
asir-36207	53	26	exp	exp	NOUN
asir-36207	53	27	(	(	PUNCT
asir-36207	53	28	)	)	PUNCT
asir-36207	53	29	22	22	NUM
asir-36207	53	30	x	x	SYM
asir-36207	53	31	z	z	PUNCT
asir-36207	53	32	u	u	NOUN
asir-36207	53	33	x	x	PROPN
asir-36207	53	34	u	u	PROPN
asir-36207	53	35	z	z	PROPN
asir-36207	53	36	dz	dz	PROPN
asir-36207	53	37			PROPN
asir-36207	53	38			NOUN
asir-36207	53	39			VERB
asir-36207	53	40			PRON
asir-36207	53	41			NOUN
asir-36207	53	42			NUM
asir-36207	53	43			NOUN
asir-36207	53	44	.	.	PUNCT
asir-36207	54	1	correspondingly	correspondingly	ADV
asir-36207	54	2	,	,	PUNCT
asir-36207	54	3	for	for	ADP
asir-36207	54	4	the	the	DET
asir-36207	54	5	bs	bs	ADJ
asir-36207	54	6	equation	equation	NOUN
asir-36207	54	7	(	(	PUNCT
asir-36207	54	8	2.1	2.1	NUM
asir-36207	54	9	)	)	PUNCT
asir-36207	54	10	applied	apply	VERB
asir-36207	54	11	to	to	ADP
asir-36207	54	12	the	the	DET
asir-36207	54	13	european	european	ADJ
asir-36207	54	14	call	call	NOUN
asir-36207	54	15	options	option	NOUN
asir-36207	54	16	with	with	ADP
asir-36207	54	17	terminal	terminal	ADJ
asir-36207	54	18	condition	condition	NOUN
asir-36207	54	19	u0(st	u0(st	PROPN
asir-36207	54	20	,	,	PUNCT
asir-36207	54	21	k)=max{st	k)=max{st	X
asir-36207	54	22	-k,0	-k,0	PROPN
asir-36207	54	23	}	}	PUNCT
asir-36207	54	24	,	,	PUNCT
asir-36207	54	25	the	the	DET
asir-36207	54	26	solution	solution	NOUN
asir-36207	54	27	of	of	ADP
asir-36207	54	28	(	(	PUNCT
asir-36207	54	29	2.1	2.1	NUM
asir-36207	54	30	)	)	PUNCT
asir-36207	54	31	is	be	AUX
asir-36207	54	32	2	2	NUM
asir-36207	54	33	2	2	NUM
asir-36207	54	34	(	(	PUNCT
asir-36207	54	35	/2	/2	SYM
asir-36207	54	36	)	)	PUNCT
asir-36207	54	37	21	21	NUM
asir-36207	54	38	(	(	PUNCT
asir-36207	54	39	,	,	PUNCT
asir-36207	54	40	)	)	PUNCT
asir-36207	54	41	(	(	PUNCT
asir-36207	54	42	)	)	PUNCT
asir-36207	54	43	exp	exp	NOUN
asir-36207	54	44	(	(	PUNCT
asir-36207	54	45	/	/	SYM
asir-36207	54	46	2	2	NUM
asir-36207	54	47	)	)	PUNCT
asir-36207	54	48	2	2	NUM
asir-36207	54	49	r	r	NOUN
asir-36207	54	50	d	d	X
asir-36207	54	51	u	u	X
asir-36207	54	52	s	s	PROPN
asir-36207	54	53	se	se	X
asir-36207	54	54	k	k	PROPN
asir-36207	54	55	d	d	PROPN
asir-36207	54	56			PROPN
asir-36207	54	57			PROPN
asir-36207	54	58			PROPN
asir-36207	54	59			PROPN
asir-36207	54	60			PROPN
asir-36207	55	1			PROPN
asir-36207	55	2			VERB
asir-36207	55	3			PROPN
asir-36207	55	4			VERB
asir-36207	55	5			PROPN
asir-36207	55	6			NUM
asir-36207	55	7			NOUN
asir-36207	55	8			NOUN
asir-36207	55	9	.	.	PUNCT
asir-36207	56	1	(	(	PUNCT
asir-36207	56	2	2.2	2.2	NUM
asir-36207	56	3	)	)	PUNCT
asir-36207	56	4	it	it	PRON
asir-36207	56	5	remains	remain	VERB
asir-36207	56	6	to	to	ADP
asir-36207	56	7	the	the	DET
asir-36207	56	8	deal	deal	NOUN
asir-36207	56	9	with	with	ADP
asir-36207	56	10	the	the	DET
asir-36207	56	11	infinity	infinity	NOUN
asir-36207	56	12	integral	integral	ADJ
asir-36207	56	13	in	in	ADP
asir-36207	56	14	(	(	PUNCT
asir-36207	56	15	2.2	2.2	NUM
asir-36207	56	16	)	)	PUNCT
asir-36207	56	17	.	.	PUNCT
asir-36207	57	1	to	to	ADP
asir-36207	57	2	this	this	DET
asir-36207	57	3	end	end	NOUN
asir-36207	57	4	,	,	PUNCT
asir-36207	57	5	we	we	PRON
asir-36207	57	6	let	let	VERB
asir-36207	57	7	ε=(z	ε=(z	ADV
asir-36207	57	8	-	-	PUNCT
asir-36207	57	9	x)/(σ√r	x)/(σ√r	ADJ
asir-36207	57	10	)	)	PUNCT
asir-36207	57	11	.	.	PUNCT
asir-36207	58	1	then	then	ADV
asir-36207	58	2	,	,	PUNCT
asir-36207	58	3	when	when	SCONJ
asir-36207	58	4	z	z	NOUN
asir-36207	58	5	=	=	NOUN
asir-36207	58	6	lnk	lnk	NOUN
asir-36207	58	7	,	,	PUNCT
asir-36207	58	8	it	it	PRON
asir-36207	58	9	holds	hold	VERB
asir-36207	58	10	2ln	2ln	ADJ
asir-36207	58	11	(	(	PUNCT
asir-36207	58	12	/	/	SYM
asir-36207	58	13	)	)	PUNCT
asir-36207	58	14	(	(	PUNCT
asir-36207	58	15	/	/	SYM
asir-36207	58	16	2)k	2)k	NOUN
asir-36207	58	17	s	s	NOUN
asir-36207	58	18	r	r	NOUN
asir-36207	58	19			NOUN
asir-36207	58	20			NOUN
asir-36207	58	21			NOUN
asir-36207	58	22			X
asir-36207	58	23			NOUN
asir-36207	58	24			PROPN
asir-36207	58	25			VERB
asir-36207	58	26			PRON
asir-36207	58	27	.	.	PUNCT
asir-36207	59	1	so	so	ADV
asir-36207	59	2	,	,	PUNCT
asir-36207	59	3	the	the	DET
asir-36207	59	4	solution	solution	NOUN
asir-36207	59	5	in	in	ADP
asir-36207	59	6	(	(	PUNCT
asir-36207	59	7	2.2	2.2	NUM
asir-36207	59	8	)	)	PUNCT
asir-36207	59	9	is	be	AUX
asir-36207	59	10	transformed	transform	VERB
asir-36207	59	11	to	to	ADP
asir-36207	59	12	2	2	NUM
asir-36207	59	13	2	2	NUM
asir-36207	59	14	2	2	NUM
asir-36207	59	15	(	(	PUNCT
asir-36207	59	16	0.5	0.5	NUM
asir-36207	59	17	)	)	PUNCT
asir-36207	59	18	0.51	0.51	NUM
asir-36207	59	19	(	(	PUNCT
asir-36207	59	20	,	,	PUNCT
asir-36207	59	21	)	)	PUNCT
asir-36207	59	22	(	(	PUNCT
asir-36207	59	23	)	)	PUNCT
asir-36207	59	24	2	2	NUM
asir-36207	59	25	r	r	NOUN
asir-36207	59	26	d	d	X
asir-36207	59	27	u	u	X
asir-36207	59	28	s	s	PROPN
asir-36207	59	29	se	se	X
asir-36207	59	30	k	k	PROPN
asir-36207	59	31	e	e	PROPN
asir-36207	59	32	d	d	VERB
asir-36207	59	33			NOUN
asir-36207	59	34			PROPN
asir-36207	59	35			PRON
asir-36207	59	36			NOUN
asir-36207	59	37			PROPN
asir-36207	59	38			PROPN
asir-36207	59	39			VERB
asir-36207	59	40			PROPN
asir-36207	59	41			PUNCT
asir-36207	59	42			PROPN
asir-36207	59	43			PROPN
asir-36207	59	44			PROPN
asir-36207	59	45			NOUN
asir-36207	59	46	.	.	PUNCT
asir-36207	60	1	www.scholink.org/ojs/index.php/asir	www.scholink.org/ojs/index.php/asir	PROPN
asir-36207	60	2	applied	apply	VERB
asir-36207	60	3	science	science	NOUN
asir-36207	60	4	and	and	CCONJ
asir-36207	60	5	innovative	innovative	ADJ
asir-36207	60	6	research	research	NOUN
asir-36207	60	7	vol	vol	NOUN
asir-36207	60	8	.	.	PROPN
asir-36207	61	1	8	8	NUM
asir-36207	61	2	,	,	PUNCT
asir-36207	61	3	no	no	INTJ
asir-36207	61	4	.	.	NOUN
asir-36207	61	5	1	1	NUM
asir-36207	61	6	,	,	PUNCT
asir-36207	61	7	2024	2024	NUM
asir-36207	61	8	188	188	NUM
asir-36207	61	9	published	publish	VERB
asir-36207	61	10	by	by	ADP
asir-36207	61	11	scholink	scholink	PROPN
asir-36207	61	12	inc	inc	PROPN
asir-36207	61	13	.	.	PROPN
asir-36207	61	14	by	by	ADP
asir-36207	61	15	a	a	DET
asir-36207	61	16	tedious	tedious	ADJ
asir-36207	61	17	but	but	CCONJ
asir-36207	61	18	very	very	ADV
asir-36207	61	19	routine	routine	ADJ
asir-36207	61	20	calculation	calculation	NOUN
asir-36207	61	21	and	and	CCONJ
asir-36207	61	22	by	by	ADP
asir-36207	61	23	noticing	notice	VERB
asir-36207	61	24	c	c	NOUN
asir-36207	61	25	=	=	NOUN
asir-36207	61	26	re	re	NOUN
asir-36207	61	27	-	-	ADJ
asir-36207	61	28	τr	τr	ADJ
asir-36207	61	29	,	,	PUNCT
asir-36207	61	30	we	we	PRON
asir-36207	61	31	have	have	VERB
asir-36207	61	32	the	the	DET
asir-36207	61	33	following	follow	VERB
asir-36207	61	34	formula	formula	NOUN
asir-36207	61	35	of	of	ADP
asir-36207	61	36	the	the	DET
asir-36207	61	37	analytic	analytic	ADJ
asir-36207	61	38	solution	solution	NOUN
asir-36207	61	39	of	of	ADP
asir-36207	61	40	the	the	DET
asir-36207	61	41	bs	bs	NOUN
asir-36207	61	42	equation	equation	NOUN
asir-36207	61	43	(	(	PUNCT
asir-36207	61	44	2.1	2.1	NUM
asir-36207	61	45	)	)	PUNCT
asir-36207	61	46	applied	apply	VERB
asir-36207	61	47	to	to	ADP
asir-36207	61	48	european	european	ADJ
asir-36207	61	49	call	call	NOUN
asir-36207	61	50	options	option	NOUN
asir-36207	61	51	:	:	PUNCT
asir-36207	61	52	1	1	NUM
asir-36207	61	53	2	2	NUM
asir-36207	61	54	2	2	NUM
asir-36207	61	55	1	1	NUM
asir-36207	61	56	2	2	NUM
asir-36207	61	57	2	2	NUM
asir-36207	61	58	(	(	PUNCT
asir-36207	61	59	(	(	PUNCT
asir-36207	61	60	)	)	PUNCT
asir-36207	61	61	)	)	PUNCT
asir-36207	61	62	(	(	PUNCT
asir-36207	61	63	(	(	PUNCT
asir-36207	61	64	)	)	PUNCT
asir-36207	61	65	)	)	PUNCT
asir-36207	61	66	log	log	NOUN
asir-36207	61	67	(	(	PUNCT
asir-36207	61	68	/	/	SYM
asir-36207	61	69	)	)	PUNCT
asir-36207	61	70	(	(	PUNCT
asir-36207	61	71	/	/	SYM
asir-36207	61	72	2	2	NUM
asir-36207	61	73	)	)	PUNCT
asir-36207	61	74	(	(	PUNCT
asir-36207	61	75	)	)	PUNCT
asir-36207	61	76	log	log	NOUN
asir-36207	61	77	(	(	PUNCT
asir-36207	61	78	/	/	SYM
asir-36207	61	79	)	)	PUNCT
asir-36207	61	80	(	(	PUNCT
asir-36207	61	81	/	/	SYM
asir-36207	61	82	2	2	NUM
asir-36207	61	83	)	)	PUNCT
asir-36207	61	84	(	(	PUNCT
asir-36207	61	85	)	)	PUNCT
asir-36207	62	1	rc	rc	PROPN
asir-36207	62	2	sn	sn	PROPN
asir-36207	62	3	d	d	PROPN
asir-36207	62	4	e	e	X
asir-36207	62	5	sn	sn	PROPN
asir-36207	62	6	d	d	NOUN
asir-36207	62	7	s	s	AUX
asir-36207	62	8	k	k	NOUN
asir-36207	62	9	r	r	NOUN
asir-36207	62	10	d	d	PROPN
asir-36207	62	11	s	s	X
asir-36207	62	12	k	k	NOUN
asir-36207	62	13	r	r	NOUN
asir-36207	62	14	d	d	PROPN
asir-36207	62	15			NOUN
asir-36207	62	16			PROPN
asir-36207	62	17			X
asir-36207	62	18			X
asir-36207	62	19			X
asir-36207	62	20			NOUN
asir-36207	62	21			NOUN
asir-36207	62	22			X
asir-36207	62	23			NOUN
asir-36207	62	24			NOUN
asir-36207	62	25			NOUN
asir-36207	62	26			NOUN
asir-36207	62	27			X
asir-36207	62	28			NOUN
asir-36207	62	29			NOUN
asir-36207	62	30			ADP
asir-36207	62	31			NUM
asir-36207	63	1			PROPN
asir-36207	63	2			NOUN
asir-36207	63	3			PRON
asir-36207	63	4			NUM
asir-36207	63	5			PROPN
asir-36207	63	6			VERB
asir-36207	63	7			PROPN
asir-36207	63	8			NUM
asir-36207	63	9			NUM
asir-36207	63	10			X
asir-36207	63	11			X
asir-36207	63	12			NOUN
asir-36207	63	13			PROPN
asir-36207	63	14	,	,	PUNCT
asir-36207	63	15	(	(	PUNCT
asir-36207	63	16	2.3	2.3	NUM
asir-36207	63	17	)	)	PUNCT
asir-36207	63	18	where	where	SCONJ
asir-36207	63	19	n	n	CCONJ
asir-36207	63	20	(	(	PUNCT
asir-36207	63	21	·	·	PUNCT
asir-36207	63	22	)	)	PUNCT
asir-36207	63	23	is	be	AUX
asir-36207	63	24	the	the	DET
asir-36207	63	25	cumulative	cumulative	ADJ
asir-36207	63	26	distribution	distribution	NOUN
asir-36207	63	27	function	function	NOUN
asir-36207	63	28	(	(	PUNCT
asir-36207	63	29	cdf	cdf	PROPN
asir-36207	63	30	)	)	PUNCT
asir-36207	63	31	of	of	ADP
asir-36207	63	32	the	the	DET
asir-36207	63	33	normal	normal	ADJ
asir-36207	63	34	distribution	distribution	NOUN
asir-36207	63	35	.	.	PUNCT
asir-36207	64	1	similarly	similarly	ADV
asir-36207	64	2	,	,	PUNCT
asir-36207	64	3	the	the	DET
asir-36207	64	4	bs	bs	NOUN
asir-36207	64	5	formula	formula	NOUN
asir-36207	64	6	for	for	ADP
asir-36207	64	7	pricing	price	VERB
asir-36207	64	8	european	european	ADJ
asir-36207	64	9	put	put	NOUN
asir-36207	64	10	options	option	NOUN
asir-36207	64	11	is	be	AUX
asir-36207	64	12	(	(	PUNCT
asir-36207	64	13	)	)	PUNCT
asir-36207	64	14	2	2	NUM
asir-36207	64	15	1	1	NUM
asir-36207	64	16	(	(	PUNCT
asir-36207	64	17	,	,	PUNCT
asir-36207	64	18	)	)	PUNCT
asir-36207	64	19	(	(	PUNCT
asir-36207	64	20	)	)	PUNCT
asir-36207	64	21	(	(	PUNCT
asir-36207	64	22	)	)	PUNCT
asir-36207	64	23	r	r	NOUN
asir-36207	64	24	t	t	PROPN
asir-36207	64	25	t	t	X
asir-36207	64	26	tp	tp	X
asir-36207	64	27	s	s	PROPN
asir-36207	64	28	t	t	PROPN
asir-36207	64	29	e	e	X
asir-36207	64	30	kn	kn	PROPN
asir-36207	64	31	d	d	PROPN
asir-36207	64	32	s	s	PART
asir-36207	64	33	n	n	PRON
asir-36207	64	34	d	d	ADJ
asir-36207	64	35			ADJ
asir-36207	64	36			PROPN
asir-36207	64	37			PROPN
asir-36207	64	38			PROPN
asir-36207	64	39	.	.	PUNCT
asir-36207	65	1	where	where	SCONJ
asir-36207	65	2	the	the	DET
asir-36207	65	3	definitions	definition	NOUN
asir-36207	65	4	of	of	ADP
asir-36207	65	5	d1	d1	PROPN
asir-36207	65	6	and	and	CCONJ
asir-36207	65	7	d2	d2	PROPN
asir-36207	65	8	and	and	CCONJ
asir-36207	65	9	n	n	CCONJ
asir-36207	65	10	(	(	PUNCT
asir-36207	65	11	·	·	PUNCT
asir-36207	65	12	)	)	PUNCT
asir-36207	65	13	are	be	AUX
asir-36207	65	14	the	the	DET
asir-36207	65	15	same	same	ADJ
asir-36207	65	16	as	as	ADP
asir-36207	65	17	in	in	ADP
asir-36207	65	18	(	(	PUNCT
asir-36207	65	19	2.3	2.3	NUM
asir-36207	65	20	)	)	PUNCT
asir-36207	65	21	.	.	PUNCT
asir-36207	66	1	3	3	X
asir-36207	66	2	.	.	X
asir-36207	66	3	compute	compute	VERB
asir-36207	66	4	the	the	DET
asir-36207	66	5	volatility	volatility	NOUN
asir-36207	66	6	as	as	SCONJ
asir-36207	66	7	we	we	PRON
asir-36207	66	8	emphasized	emphasize	VERB
asir-36207	66	9	in	in	ADP
asir-36207	66	10	section	section	NOUN
asir-36207	66	11	2	2	NUM
asir-36207	66	12	,	,	PUNCT
asir-36207	66	13	identifying	identify	VERB
asir-36207	66	14	the	the	DET
asir-36207	66	15	parameter	parameter	NOUN
asir-36207	66	16	volatility	volatility	NOUN
asir-36207	66	17	σ	σ	PROPN
asir-36207	66	18	is	be	AUX
asir-36207	66	19	a	a	DET
asir-36207	66	20	crucial	crucial	ADJ
asir-36207	66	21	step	step	NOUN
asir-36207	66	22	for	for	ADP
asir-36207	66	23	applying	apply	VERB
asir-36207	66	24	the	the	DET
asir-36207	66	25	bs	bs	NOUN
asir-36207	66	26	model	model	NOUN
asir-36207	66	27	in	in	ADP
asir-36207	66	28	practice	practice	NOUN
asir-36207	66	29	.	.	PUNCT
asir-36207	67	1	in	in	ADP
asir-36207	67	2	this	this	DET
asir-36207	67	3	section	section	NOUN
asir-36207	67	4	,	,	PUNCT
asir-36207	67	5	we	we	PRON
asir-36207	67	6	introduce	introduce	VERB
asir-36207	67	7	two	two	NUM
asir-36207	67	8	methods	method	NOUN
asir-36207	67	9	for	for	ADP
asir-36207	67	10	computing	compute	VERB
asir-36207	67	11	this	this	DET
asir-36207	67	12	parameter	parameter	NOUN
asir-36207	67	13	.	.	PUNCT
asir-36207	68	1	3.1	3.1	NUM
asir-36207	68	2	historical	historical	ADJ
asir-36207	68	3	volatility	volatility	NOUN
asir-36207	68	4	(	(	PUNCT
asir-36207	68	5	hv	hv	X
asir-36207	68	6	)	)	PUNCT
asir-36207	68	7	the	the	DET
asir-36207	68	8	historical	historical	ADJ
asir-36207	68	9	volatility	volatility	NOUN
asir-36207	68	10	measures	measure	VERB
asir-36207	68	11	the	the	DET
asir-36207	68	12	dispersion	dispersion	NOUN
asir-36207	68	13	of	of	ADP
asir-36207	68	14	returns	return	NOUN
asir-36207	68	15	for	for	ADP
asir-36207	68	16	an	an	DET
asir-36207	68	17	option	option	NOUN
asir-36207	68	18	or	or	CCONJ
asir-36207	68	19	market	market	NOUN
asir-36207	68	20	index	index	NOUN
asir-36207	68	21	over	over	ADP
asir-36207	68	22	a	a	DET
asir-36207	68	23	specific	specific	ADJ
asir-36207	68	24	time	time	NOUN
asir-36207	68	25	period	period	NOUN
asir-36207	68	26	.	.	PUNCT
asir-36207	69	1	it	it	PRON
asir-36207	69	2	is	be	AUX
asir-36207	69	3	typically	typically	ADV
asir-36207	69	4	calculated	calculate	VERB
asir-36207	69	5	by	by	ADP
asir-36207	69	6	finding	find	VERB
asir-36207	69	7	the	the	DET
asir-36207	69	8	average	average	ADJ
asir-36207	69	9	deviation	deviation	NOUN
asir-36207	69	10	from	from	ADP
asir-36207	69	11	the	the	DET
asir-36207	69	12	average	average	ADJ
asir-36207	69	13	price	price	NOUN
asir-36207	69	14	of	of	ADP
asir-36207	69	15	a	a	DET
asir-36207	69	16	financial	financial	ADJ
asir-36207	69	17	instrument	instrument	NOUN
asir-36207	69	18	during	during	ADP
asir-36207	69	19	that	that	DET
asir-36207	69	20	time	time	NOUN
asir-36207	69	21	.	.	PUNCT
asir-36207	70	1	standard	standard	ADJ
asir-36207	70	2	deviation	deviation	NOUN
asir-36207	70	3	is	be	AUX
asir-36207	70	4	commonly	commonly	ADV
asir-36207	70	5	used	use	VERB
asir-36207	70	6	,	,	PUNCT
asir-36207	70	7	but	but	CCONJ
asir-36207	70	8	not	not	PART
asir-36207	70	9	the	the	DET
asir-36207	70	10	only	only	ADJ
asir-36207	70	11	method	method	NOUN
asir-36207	70	12	to	to	PART
asir-36207	70	13	calculate	calculate	VERB
asir-36207	70	14	historical	historical	ADJ
asir-36207	70	15	volatility	volatility	NOUN
asir-36207	70	16	.	.	PUNCT
asir-36207	71	1	higher	high	ADJ
asir-36207	71	2	historical	historical	ADJ
asir-36207	71	3	volatility	volatility	NOUN
asir-36207	71	4	indicates	indicate	VERB
asir-36207	71	5	higher	high	ADJ
asir-36207	71	6	risk	risk	NOUN
asir-36207	71	7	in	in	ADP
asir-36207	71	8	an	an	DET
asir-36207	71	9	option	option	NOUN
asir-36207	71	10	,	,	PUNCT
asir-36207	71	11	but	but	CCONJ
asir-36207	71	12	this	this	PRON
asir-36207	71	13	can	can	AUX
asir-36207	71	14	also	also	ADV
asir-36207	71	15	present	present	VERB
asir-36207	71	16	opportunities	opportunity	NOUN
asir-36207	71	17	for	for	ADP
asir-36207	71	18	both	both	CCONJ
asir-36207	71	19	bullish	bullish	ADJ
asir-36207	71	20	and	and	CCONJ
asir-36207	71	21	bearish	bearish	ADJ
asir-36207	71	22	outcomes	outcome	NOUN
asir-36207	71	23	.	.	PUNCT
asir-36207	72	1	3.2	3.2	NUM
asir-36207	72	2	implied	imply	VERB
asir-36207	72	3	volatility	volatility	NOUN
asir-36207	72	4	(	(	PUNCT
asir-36207	72	5	iv	iv	X
asir-36207	72	6	)	)	PUNCT
asir-36207	72	7	an	an	DET
asir-36207	72	8	implied	imply	VERB
asir-36207	72	9	volatility	volatility	NOUN
asir-36207	72	10	(	(	PUNCT
asir-36207	72	11	denoted	denote	VERB
asir-36207	72	12	by	by	ADP
asir-36207	72	13	σiv	σiv	ADV
asir-36207	72	14	)	)	PUNCT
asir-36207	72	15	is	be	AUX
asir-36207	72	16	a	a	DET
asir-36207	72	17	quantity	quantity	NOUN
asir-36207	72	18	that	that	PRON
asir-36207	72	19	results	result	VERB
asir-36207	72	20	in	in	ADP
asir-36207	72	21	an	an	DET
asir-36207	72	22	option	option	NOUN
asir-36207	72	23	price	price	NOUN
asir-36207	72	24	which	which	PRON
asir-36207	72	25	equals	equal	VERB
asir-36207	72	26	to	to	ADP
asir-36207	72	27	the	the	DET
asir-36207	72	28	actual	actual	ADJ
asir-36207	72	29	price	price	NOUN
asir-36207	72	30	after	after	ADP
asir-36207	72	31	substituting	substitute	VERB
asir-36207	72	32	into	into	ADP
asir-36207	72	33	the	the	DET
asir-36207	72	34	bs	bs	PROPN
asir-36207	72	35	model	model	NOUN
asir-36207	72	36	.	.	PUNCT
asir-36207	73	1	with	with	ADP
asir-36207	73	2	the	the	DET
asir-36207	73	3	known	know	VERB
asir-36207	73	4	model	model	NOUN
asir-36207	73	5	parameters	parameter	NOUN
asir-36207	73	6	,	,	PUNCT
asir-36207	73	7	i.e.	i.e.	X
asir-36207	73	8	,	,	PUNCT
asir-36207	73	9	the	the	DET
asir-36207	73	10	stock	stock	NOUN
asir-36207	73	11	price	price	NOUN
asir-36207	73	12	(	(	PUNCT
asir-36207	73	13	s	s	NOUN
asir-36207	73	14	)	)	PUNCT
asir-36207	73	15	,	,	PUNCT
asir-36207	73	16	the	the	DET
asir-36207	73	17	strike	strike	NOUN
asir-36207	73	18	price	price	NOUN
asir-36207	73	19	of	of	ADP
asir-36207	73	20	the	the	DET
asir-36207	73	21	option	option	NOUN
asir-36207	73	22	(	(	PUNCT
asir-36207	73	23	k	k	NOUN
asir-36207	73	24	)	)	PUNCT
asir-36207	73	25	,	,	PUNCT
asir-36207	73	26	the	the	DET
asir-36207	73	27	risk	risk	NOUN
asir-36207	73	28	-	-	PUNCT
asir-36207	73	29	free	free	ADJ
asir-36207	73	30	interest	interest	NOUN
asir-36207	73	31	rate	rate	NOUN
asir-36207	73	32	(	(	PUNCT
asir-36207	73	33	r	r	NOUN
asir-36207	73	34	)	)	PUNCT
asir-36207	73	35	,	,	PUNCT
asir-36207	73	36	the	the	DET
asir-36207	73	37	time	time	NOUN
asir-36207	73	38	to	to	ADP
asir-36207	73	39	expiration	expiration	NOUN
asir-36207	73	40	(	(	PUNCT
asir-36207	73	41	τ	τ	PROPN
asir-36207	73	42	)	)	PUNCT
asir-36207	73	43	,	,	PUNCT
asir-36207	73	44	and	and	CCONJ
asir-36207	73	45	the	the	DET
asir-36207	73	46	option	option	NOUN
asir-36207	73	47	price	price	NOUN
asir-36207	73	48	from	from	ADP
asir-36207	73	49	the	the	DET
asir-36207	73	50	market	market	NOUN
asir-36207	73	51	(	(	PUNCT
asir-36207	73	52	cmar	cmar	NOUN
asir-36207	73	53	)	)	PUNCT
asir-36207	73	54	,	,	PUNCT
asir-36207	73	55	the	the	DET
asir-36207	73	56	parameter	parameter	NOUN
asir-36207	73	57	σiv	σiv	ADV
asir-36207	73	58	is	be	AUX
asir-36207	73	59	the	the	DET
asir-36207	73	60	solution	solution	NOUN
asir-36207	73	61	of	of	ADP
asir-36207	73	62	following	follow	VERB
asir-36207	73	63	nonlinear	nonlinear	ADJ
asir-36207	73	64	equation	equation	NOUN
asir-36207	73	65	f(x)=cmar	f(x)=cmar	PROPN
asir-36207	73	66	,	,	PUNCT
asir-36207	73	67	(	(	PUNCT
asir-36207	73	68	3.2	3.2	NUM
asir-36207	73	69	)	)	PUNCT
asir-36207	73	70	where	where	SCONJ
asir-36207	73	71	the	the	DET
asir-36207	73	72	nonlinear	nonlinear	ADJ
asir-36207	73	73	function	function	NOUN
asir-36207	73	74	f(x	f(x	PROPN
asir-36207	73	75	)	)	PUNCT
asir-36207	73	76	is	be	AUX
asir-36207	73	77	defined	define	VERB
asir-36207	73	78	by	by	ADP
asir-36207	73	79	www.scholink.org/ojs/index.php/asir	www.scholink.org/ojs/index.php/asir	NOUN
asir-36207	73	80	applied	apply	VERB
asir-36207	73	81	science	science	NOUN
asir-36207	73	82	and	and	CCONJ
asir-36207	73	83	innovative	innovative	ADJ
asir-36207	73	84	research	research	NOUN
asir-36207	73	85	vol	vol	NOUN
asir-36207	73	86	.	.	PROPN
asir-36207	74	1	8	8	NUM
asir-36207	74	2	,	,	PUNCT
asir-36207	74	3	no	no	INTJ
asir-36207	74	4	.	.	NOUN
asir-36207	74	5	1	1	NUM
asir-36207	74	6	,	,	PUNCT
asir-36207	74	7	2024	2024	NUM
asir-36207	74	8	189	189	NUM
asir-36207	74	9	published	publish	VERB
asir-36207	74	10	by	by	ADP
asir-36207	74	11	scholink	scholink	PROPN
asir-36207	74	12	inc	inc	PROPN
asir-36207	74	13	.	.	PROPN
asir-36207	74	14	1	1	NUM
asir-36207	74	15	2	2	NUM
asir-36207	74	16	2	2	NUM
asir-36207	74	17	1	1	NUM
asir-36207	74	18	2	2	NUM
asir-36207	74	19	2	2	NUM
asir-36207	74	20	(	(	PUNCT
asir-36207	74	21	)	)	PUNCT
asir-36207	74	22	(	(	PUNCT
asir-36207	74	23	(	(	PUNCT
asir-36207	74	24	)	)	PUNCT
asir-36207	74	25	)	)	PUNCT
asir-36207	75	1	(	(	PUNCT
asir-36207	75	2	(	(	PUNCT
asir-36207	75	3	)	)	PUNCT
asir-36207	75	4	)	)	PUNCT
asir-36207	75	5	log	log	NOUN
asir-36207	75	6	(	(	PUNCT
asir-36207	75	7	/	/	SYM
asir-36207	75	8	)	)	PUNCT
asir-36207	75	9	(	(	PUNCT
asir-36207	75	10	/	/	SYM
asir-36207	75	11	2	2	NUM
asir-36207	75	12	)	)	PUNCT
asir-36207	75	13	(	(	PUNCT
asir-36207	75	14	)	)	PUNCT
asir-36207	75	15	log	log	NOUN
asir-36207	75	16	(	(	PUNCT
asir-36207	75	17	/	/	SYM
asir-36207	75	18	)	)	PUNCT
asir-36207	75	19	(	(	PUNCT
asir-36207	75	20	/	/	SYM
asir-36207	75	21	2	2	NUM
asir-36207	75	22	)	)	PUNCT
asir-36207	75	23	(	(	PUNCT
asir-36207	75	24	)	)	PUNCT
asir-36207	75	25	rf	rf	PROPN
asir-36207	75	26	x	x	X
asir-36207	75	27	sn	sn	PROPN
asir-36207	75	28	d	d	NOUN
asir-36207	75	29	x	x	X
asir-36207	75	30	e	e	X
asir-36207	75	31	sn	sn	PROPN
asir-36207	75	32	d	d	NOUN
asir-36207	75	33	x	x	X
asir-36207	75	34	s	s	VERB
asir-36207	75	35	k	k	NOUN
asir-36207	75	36	r	r	NOUN
asir-36207	75	37	x	x	PUNCT
asir-36207	75	38	d	d	NOUN
asir-36207	75	39	x	x	PUNCT
asir-36207	75	40	x	x	X
asir-36207	75	41	s	s	X
asir-36207	75	42	k	k	NOUN
asir-36207	75	43	r	r	NOUN
asir-36207	75	44	x	x	PUNCT
asir-36207	75	45	d	d	NOUN
asir-36207	75	46	x	x	X
asir-36207	75	47	x	x	NOUN
asir-36207	75	48			NOUN
asir-36207	75	49			NOUN
asir-36207	75	50			NOUN
asir-36207	75	51			NOUN
asir-36207	75	52			NOUN
asir-36207	75	53			NOUN
asir-36207	75	54			ADP
asir-36207	75	55			NUM
asir-36207	75	56			PROPN
asir-36207	75	57			NOUN
asir-36207	75	58			PRON
asir-36207	75	59			NUM
asir-36207	75	60			PROPN
asir-36207	75	61			VERB
asir-36207	75	62			PROPN
asir-36207	75	63			NUM
asir-36207	75	64			NUM
asir-36207	75	65			X
asir-36207	75	66			X
asir-36207	75	67			NOUN
asir-36207	75	68			PROPN
asir-36207	75	69	,	,	PUNCT
asir-36207	75	70	(	(	PUNCT
asir-36207	75	71	3.3	3.3	NUM
asir-36207	75	72	)	)	PUNCT
asir-36207	75	73	after	after	ADP
asir-36207	75	74	solving	solve	VERB
asir-36207	75	75	(	(	PUNCT
asir-36207	75	76	3.2	3.2	NUM
asir-36207	75	77	)	)	PUNCT
asir-36207	75	78	,	,	PUNCT
asir-36207	75	79	we	we	PRON
asir-36207	75	80	have	have	VERB
asir-36207	75	81	σiv	σiv	ADV
asir-36207	75	82	=	=	ADJ
asir-36207	75	83	x.	x.	NOUN
asir-36207	75	84	in	in	ADP
asir-36207	75	85	(	(	PUNCT
asir-36207	75	86	3.3	3.3	NUM
asir-36207	75	87	)	)	PUNCT
asir-36207	75	88	,	,	PUNCT
asir-36207	75	89	the	the	DET
asir-36207	75	90	function	function	NOUN
asir-36207	75	91	n	n	VERB
asir-36207	75	92	is	be	AUX
asir-36207	75	93	the	the	DET
asir-36207	75	94	cumulative	cumulative	ADJ
asir-36207	75	95	distribution	distribution	NOUN
asir-36207	75	96	function	function	NOUN
asir-36207	75	97	of	of	ADP
asir-36207	75	98	the	the	DET
asir-36207	75	99	normal	normal	ADJ
asir-36207	75	100	distribution	distribution	NOUN
asir-36207	75	101	,	,	PUNCT
asir-36207	75	102	that	that	ADV
asir-36207	75	103	is	is	ADV
asir-36207	75	104	21	21	NUM
asir-36207	75	105	(	(	PUNCT
asir-36207	75	106	)	)	PUNCT
asir-36207	75	107	exp	exp	NOUN
asir-36207	75	108	(	(	PUNCT
asir-36207	75	109	/	/	SYM
asir-36207	75	110	2	2	NUM
asir-36207	75	111	)	)	PUNCT
asir-36207	75	112	2	2	NUM
asir-36207	75	113	d	d	NOUN
asir-36207	75	114	n	n	PROPN
asir-36207	75	115	d	d	PROPN
asir-36207	75	116	z	z	NOUN
asir-36207	75	117	dz	dz	X
asir-36207	75	118			PROPN
asir-36207	75	119			NOUN
asir-36207	75	120			NUM
asir-36207	75	121			NOUN
asir-36207	75	122	.	.	PUNCT
asir-36207	76	1	in	in	ADP
asir-36207	76	2	the	the	DET
asir-36207	76	3	following	following	ADJ
asir-36207	76	4	part	part	NOUN
asir-36207	76	5	,	,	PUNCT
asir-36207	76	6	we	we	PRON
asir-36207	76	7	introduce	introduce	VERB
asir-36207	76	8	a	a	DET
asir-36207	76	9	generalized	generalized	ADJ
asir-36207	76	10	fixed	fix	VERB
asir-36207	76	11	-	-	PUNCT
asir-36207	76	12	point	point	NOUN
asir-36207	76	13	(	(	PUNCT
asir-36207	76	14	fp	fp	X
asir-36207	76	15	)	)	PUNCT
asir-36207	76	16	iteration	iteration	NOUN
asir-36207	76	17	to	to	PART
asir-36207	76	18	handle	handle	VERB
asir-36207	76	19	(	(	PUNCT
asir-36207	76	20	3.2	3.2	NUM
asir-36207	76	21	)	)	PUNCT
asir-36207	76	22	.	.	PUNCT
asir-36207	77	1	with	with	ADP
asir-36207	77	2	a	a	DET
asir-36207	77	3	non	non	ADJ
asir-36207	77	4	-	-	ADJ
asir-36207	77	5	zero	zero	ADJ
asir-36207	77	6	free	free	ADJ
asir-36207	77	7	parameter	parameter	PROPN
asir-36207	77	8	η	η	PROPN
asir-36207	77	9	,	,	PUNCT
asir-36207	77	10	the	the	DET
asir-36207	77	11	solution	solution	NOUN
asir-36207	77	12	of	of	ADP
asir-36207	77	13	this	this	DET
asir-36207	77	14	equation	equation	NOUN
asir-36207	77	15	is	be	AUX
asir-36207	77	16	identical	identical	ADJ
asir-36207	77	17	to	to	ADP
asir-36207	77	18	the	the	DET
asir-36207	77	19	following	follow	VERB
asir-36207	77	20	fp	fp	INTJ
asir-36207	77	21	problem	problem	NOUN
asir-36207	77	22	x	x	X
asir-36207	77	23	=	=	NOUN
asir-36207	77	24	f(x	f(x	PROPN
asir-36207	77	25	)	)	PUNCT
asir-36207	77	26	,	,	PUNCT
asir-36207	77	27	f(x):=x+η[f(x)-cmar	f(x):=x+η[f(x)-cmar	PROPN
asir-36207	77	28	]	]	PUNCT
asir-36207	77	29	.	.	PUNCT
asir-36207	78	1	（	（	PUNCT
asir-36207	78	2	3.4	3.4	NUM
asir-36207	78	3	）	）	PUNCT
asir-36207	78	4	a	a	DET
asir-36207	78	5	geometry	geometry	NOUN
asir-36207	78	6	explanation	explanation	NOUN
asir-36207	78	7	for	for	ADP
asir-36207	78	8	the	the	DET
asir-36207	78	9	solution	solution	NOUN
asir-36207	78	10	of	of	ADP
asir-36207	78	11	the	the	DET
asir-36207	78	12	fp	fp	PROPN
asir-36207	78	13	problem	problem	NOUN
asir-36207	78	14	is	be	AUX
asir-36207	78	15	as	as	SCONJ
asir-36207	78	16	follows	follow	VERB
asir-36207	78	17	.	.	PUNCT
asir-36207	79	1	let	let	VERB
asir-36207	79	2	y	y	PRON
asir-36207	79	3	=	=	NOUN
asir-36207	79	4	x	x	PROPN
asir-36207	79	5	and	and	CCONJ
asir-36207	79	6	y	y	PROPN
asir-36207	79	7	=	=	PROPN
asir-36207	79	8	f(x	f(x	PROPN
asir-36207	79	9	)	)	PUNCT
asir-36207	79	10	be	be	VERB
asir-36207	79	11	respectively	respectively	ADV
asir-36207	79	12	the	the	DET
asir-36207	79	13	straight	straight	ADJ
asir-36207	79	14	line	line	NOUN
asir-36207	79	15	and	and	CCONJ
asir-36207	79	16	the	the	DET
asir-36207	79	17	curve	curve	NOUN
asir-36207	79	18	be	be	AUX
asir-36207	79	19	specified	specify	VERB
asir-36207	79	20	by	by	ADP
asir-36207	79	21	the	the	DET
asir-36207	79	22	nonlinear	nonlinear	ADJ
asir-36207	79	23	function	function	NOUN
asir-36207	79	24	f(x	f(x	PROPN
asir-36207	79	25	)	)	PUNCT
asir-36207	79	26	.	.	PUNCT
asir-36207	80	1	the	the	DET
asir-36207	80	2	following	follow	VERB
asir-36207	80	3	is	be	AUX
asir-36207	80	4	a	a	DET
asir-36207	80	5	toy	toy	NOUN
asir-36207	80	6	example	example	NOUN
asir-36207	80	7	0.5	0.5	NUM
asir-36207	80	8	=	=	NOUN
asir-36207	80	9	f(x	f(x	PROPN
asir-36207	80	10	)	)	PUNCT
asir-36207	80	11	,	,	PUNCT
asir-36207	80	12	f(x):=log(4+x0.5)+x2sin(1	f(x):=log(4+x0.5)+x2sin(1	X
asir-36207	80	13	+	+	NOUN
asir-36207	80	14	2x	2x	NUM
asir-36207	80	15	)	)	PUNCT
asir-36207	80	16	.	.	PUNCT
asir-36207	81	1	from	from	ADP
asir-36207	81	2	the	the	DET
asir-36207	81	3	fp	fp	PROPN
asir-36207	81	4	problem	problem	NOUN
asir-36207	81	5	(	(	PUNCT
asir-36207	81	6	3.4	3.4	NUM
asir-36207	81	7	)	)	PUNCT
asir-36207	81	8	,	,	PUNCT
asir-36207	81	9	it	it	PRON
asir-36207	81	10	is	be	AUX
asir-36207	81	11	natural	natural	ADJ
asir-36207	81	12	to	to	PART
asir-36207	81	13	solve	solve	VERB
asir-36207	81	14	the	the	DET
asir-36207	81	15	original	original	ADJ
asir-36207	81	16	equation	equation	NOUN
asir-36207	81	17	(	(	PUNCT
asir-36207	81	18	3.2	3.2	NUM
asir-36207	81	19	)	)	PUNCT
asir-36207	81	20	via	via	ADP
asir-36207	81	21	the	the	DET
asir-36207	81	22	following	follow	VERB
asir-36207	81	23	iteration	iteration	NOUN
asir-36207	81	24	.	.	PUNCT
asir-36207	82	1	xl+1	xl+1	X
asir-36207	83	1	=	=	NOUN
asir-36207	83	2	f(xl	f(xl	NUM
asir-36207	83	3	)	)	PUNCT
asir-36207	83	4	,	,	PUNCT
asir-36207	83	5	l=0,1	l=0,1	NOUN
asir-36207	83	6	,	,	PUNCT
asir-36207	83	7	...	...	PUNCT
asir-36207	83	8	,	,	PUNCT
asir-36207	83	9	(	(	PUNCT
asir-36207	83	10	3.5	3.5	NUM
asir-36207	83	11	)	)	PUNCT
asir-36207	83	12	where	where	SCONJ
asir-36207	83	13	l	l	NOUN
asir-36207	83	14	is	be	AUX
asir-36207	83	15	the	the	DET
asir-36207	83	16	iteration	iteration	NOUN
asir-36207	83	17	index	index	NOUN
asir-36207	83	18	and	and	CCONJ
asir-36207	83	19	x0	x0	PROPN
asir-36207	83	20	is	be	AUX
asir-36207	83	21	the	the	DET
asir-36207	83	22	initial	initial	ADJ
asir-36207	83	23	guess	guess	NOUN
asir-36207	83	24	.	.	PUNCT
asir-36207	84	1	the	the	DET
asir-36207	84	2	convergence	convergence	NOUN
asir-36207	84	3	of	of	ADP
asir-36207	84	4	the	the	DET
asir-36207	84	5	generated	generate	VERB
asir-36207	84	6	sequence	sequence	NOUN
asir-36207	84	7	{	{	PUNCT
asir-36207	84	8	xl	xl	PROPN
asir-36207	84	9	}	}	PUNCT
asir-36207	84	10	depends	depend	VERB
asir-36207	84	11	on	on	ADP
asir-36207	84	12	the	the	DET
asir-36207	84	13	initial	initial	ADJ
asir-36207	84	14	guess	guess	NOUN
asir-36207	84	15	and	and	CCONJ
asir-36207	84	16	the	the	DET
asir-36207	84	17	involved	involved	ADJ
asir-36207	84	18	parameter	parameter	PROPN
asir-36207	84	19	η	η	PROPN
asir-36207	84	20	.	.	PROPN
asir-36207	84	21	for	for	ADP
asir-36207	84	22	example	example	NOUN
asir-36207	84	23	,	,	PUNCT
asir-36207	84	24	for	for	ADP
asir-36207	84	25	the	the	DET
asir-36207	84	26	above	above	ADJ
asir-36207	84	27	toy	toy	NOUN
asir-36207	84	28	example	example	NOUN
asir-36207	84	29	,	,	PUNCT
asir-36207	84	30	from	from	ADP
asir-36207	84	31	the	the	DET
asir-36207	84	32	same	same	ADJ
asir-36207	84	33	initial	initial	ADJ
asir-36207	84	34	guess	guess	NOUN
asir-36207	84	35	x0=0.3	x0=0.3	PROPN
asir-36207	84	36	,	,	PUNCT
asir-36207	84	37	the	the	DET
asir-36207	84	38	choice	choice	NOUN
asir-36207	84	39	η=0.25	η=0.25	NOUN
asir-36207	84	40	and	and	CCONJ
asir-36207	84	41	η=0.5	η=0.5	NOUN
asir-36207	84	42	results	result	NOUN
asir-36207	84	43	in	in	ADP
asir-36207	84	44	very	very	ADV
asir-36207	84	45	different	different	ADJ
asir-36207	84	46	result	result	NOUN
asir-36207	84	47	for	for	ADP
asir-36207	84	48	the	the	DET
asir-36207	84	49	fp	fp	PROPN
asir-36207	84	50	iteration	iteration	NOUN
asir-36207	84	51	(	(	PUNCT
asir-36207	84	52	3.5	3.5	NUM
asir-36207	84	53	)	)	PUNCT
asir-36207	84	54	.	.	PUNCT
asir-36207	85	1	now	now	ADV
asir-36207	85	2	,	,	PUNCT
asir-36207	85	3	for	for	ADP
asir-36207	85	4	the	the	DET
asir-36207	85	5	bs	bs	ADJ
asir-36207	85	6	equation	equation	NOUN
asir-36207	85	7	(	(	PUNCT
asir-36207	85	8	3.2)-(3.3	3.2)-(3.3	NUM
asir-36207	85	9	)	)	PUNCT
asir-36207	85	10	,	,	PUNCT
asir-36207	85	11	we	we	PRON
asir-36207	85	12	can	can	AUX
asir-36207	85	13	solve	solve	VERB
asir-36207	85	14	the	the	DET
asir-36207	85	15	volatility	volatility	NOUN
asir-36207	85	16	,	,	PUNCT
asir-36207	85	17	i.e.	i.e.	X
asir-36207	85	18	,	,	PUNCT
asir-36207	85	19	x	x	X
asir-36207	85	20	,	,	PUNCT
asir-36207	85	21	via	via	ADP
asir-36207	85	22	the	the	DET
asir-36207	85	23	above	above	ADJ
asir-36207	85	24	fp	fp	NOUN
asir-36207	85	25	iterations	iteration	NOUN
asir-36207	85	26	as	as	ADV
asir-36207	85	27	well	well	ADV
asir-36207	85	28	.	.	PUNCT
asir-36207	86	1	to	to	PART
asir-36207	86	2	make	make	VERB
asir-36207	86	3	a	a	DET
asir-36207	86	4	rapid	rapid	ADJ
asir-36207	86	5	convergence	convergence	NOUN
asir-36207	86	6	,	,	PUNCT
asir-36207	86	7	the	the	DET
asir-36207	86	8	parameter	parameter	PROPN
asir-36207	86	9	η	η	PROPN
asir-36207	86	10	should	should	AUX
asir-36207	86	11	be	be	AUX
asir-36207	86	12	chosen	choose	VERB
asir-36207	86	13	as	as	SCONJ
asir-36207	86	14	follows	follow	VERB
asir-36207	86	15	：	：	PUNCT
asir-36207	86	16	1	1	NUM
asir-36207	86	17	1	1	NUM
asir-36207	86	18	(	(	PUNCT
asir-36207	86	19	)	)	PUNCT
asir-36207	86	20	(	(	PUNCT
asir-36207	86	21	)	)	PUNCT
asir-36207	87	1	l	l	NOUN
asir-36207	87	2	l	l	NOUN
asir-36207	87	3	l	l	NOUN
asir-36207	87	4	l	l	NOUN
asir-36207	87	5	x	x	PUNCT
asir-36207	88	1	x	x	SYM
asir-36207	88	2	f	f	X
asir-36207	88	3	x	x	X
asir-36207	88	4	f	f	X
asir-36207	88	5	x	x	SYM
asir-36207	88	6			PUNCT
asir-36207	88	7			PROPN
asir-36207	88	8			PROPN
asir-36207	88	9			PROPN
asir-36207	88	10			PROPN
asir-36207	88	11			PROPN
asir-36207	88	12			NOUN
asir-36207	88	13	,	,	PUNCT
asir-36207	88	14	(	(	PUNCT
asir-36207	88	15	3.6	3.6	NUM
asir-36207	88	16	)	)	PUNCT
asir-36207	88	17	i.e.	i.e.	X
asir-36207	88	18	,	,	PUNCT
asir-36207	88	19	the	the	DET
asir-36207	88	20	parameter	parameter	PROPN
asir-36207	88	21	η	η	PROPN
asir-36207	88	22	is	be	AUX
asir-36207	88	23	determined	determine	VERB
asir-36207	88	24	dynamically	dynamically	ADV
asir-36207	88	25	during	during	ADP
asir-36207	88	26	iterations	iteration	NOUN
asir-36207	88	27	.	.	PUNCT
asir-36207	89	1	the	the	DET
asir-36207	89	2	fp	fp	PROPN
asir-36207	89	3	iteration	iteration	NOUN
asir-36207	89	4	is	be	AUX
asir-36207	89	5	1	1	NUM
asir-36207	89	6	1	1	NUM
asir-36207	89	7	1	1	NUM
asir-36207	89	8	[	[	PUNCT
asir-36207	89	9	(	(	PUNCT
asir-36207	89	10	)	)	PUNCT
asir-36207	89	11	]	]	PUNCT
asir-36207	89	12	(	(	PUNCT
asir-36207	89	13	)	)	PUNCT
asir-36207	89	14	(	(	PUNCT
asir-36207	89	15	)	)	PUNCT
asir-36207	90	1	l	l	NOUN
asir-36207	90	2	l	l	NOUN
asir-36207	90	3	l	l	X
asir-36207	90	4	l	l	X
asir-36207	90	5	l	l	X
asir-36207	90	6	mar	mar	PROPN
asir-36207	90	7	l	l	NOUN
asir-36207	90	8	l	l	NOUN
asir-36207	90	9	x	x	PUNCT
asir-36207	90	10	x	x	PUNCT
asir-36207	90	11	x	x	PUNCT
asir-36207	90	12	x	x	X
asir-36207	90	13	f	f	NOUN
asir-36207	90	14	x	x	X
asir-36207	90	15	c	c	NOUN
asir-36207	90	16	f	f	NOUN
asir-36207	90	17	x	x	SYM
asir-36207	90	18	f	f	PROPN
asir-36207	90	19	x	x	X
asir-36207	90	20			PROPN
asir-36207	90	21			VERB
asir-36207	90	22			PROPN
asir-36207	90	23			PROPN
asir-36207	90	24			PROPN
asir-36207	90	25			PROPN
asir-36207	90	26			PROPN
asir-36207	90	27			PROPN
asir-36207	90	28	,	,	PUNCT
asir-36207	90	29	(	(	PUNCT
asir-36207	90	30	3.7	3.7	NUM
asir-36207	90	31	)	)	PUNCT
asir-36207	90	32	where	where	SCONJ
asir-36207	90	33	we	we	PRON
asir-36207	90	34	need	need	VERB
asir-36207	90	35	two	two	NUM
asir-36207	90	36	starting	start	VERB
asir-36207	90	37	values	value	NOUN
asir-36207	90	38	x0	x0	PROPN
asir-36207	90	39	and	and	CCONJ
asir-36207	90	40	x1	x1	PROPN
asir-36207	90	41	.	.	PUNCT
asir-36207	91	1	in	in	ADP
asir-36207	91	2	practice	practice	NOUN
asir-36207	91	3	,	,	PUNCT
asir-36207	91	4	starting	start	VERB
asir-36207	91	5	from	from	ADP
asir-36207	91	6	the	the	DET
asir-36207	91	7	first	first	ADJ
asir-36207	91	8	initial	initial	ADJ
asir-36207	91	9	guess	guess	NOUN
asir-36207	91	10	x0	x0	PROPN
asir-36207	91	11	we	we	PRON
asir-36207	91	12	generate	generate	VERB
asir-36207	91	13	x1	x1	PROPN
asir-36207	91	14	by	by	ADP
asir-36207	91	15	x1	x1	PROPN
asir-36207	91	16	=	=	PROPN
asir-36207	91	17	x0-[f(x0)-cmar	x0-[f(x0)-cmar	PROPN
asir-36207	91	18	]	]	X
asir-36207	91	19	,	,	PUNCT
asir-36207	91	20	(	(	PUNCT
asir-36207	91	21	3.8	3.8	NUM
asir-36207	91	22	)	)	PUNCT
asir-36207	91	23	and	and	CCONJ
asir-36207	91	24	by	by	ADP
asir-36207	91	25	this	this	DET
asir-36207	91	26	idea	idea	NOUN
asir-36207	91	27	we	we	PRON
asir-36207	91	28	only	only	ADV
asir-36207	91	29	need	need	VERB
asir-36207	91	30	one	one	NUM
asir-36207	91	31	starting	starting	NOUN
asir-36207	91	32	value	value	NOUN
asir-36207	91	33	x0	x0	PROPN
asir-36207	91	34	.	.	PUNCT
asir-36207	92	1	according	accord	VERB
asir-36207	92	2	to	to	ADP
asir-36207	92	3	li	li	PROPN
asir-36207	92	4	(	(	PUNCT
asir-36207	92	5	2005	2005	NUM
asir-36207	92	6	)	)	PUNCT
asir-36207	92	7	,	,	PUNCT
asir-36207	92	8	we	we	PRON
asir-36207	92	9	use	use	VERB
asir-36207	92	10	the	the	DET
asir-36207	92	11	following	follow	VERB
asir-36207	92	12	choice	choice	NOUN
asir-36207	92	13	of	of	ADP
asir-36207	92	14	x0	x0	NUM
asir-36207	92	15	which	which	PRON
asir-36207	92	16	is	be	AUX
asir-36207	92	17	based	base	VERB
asir-36207	92	18	on	on	ADP
asir-36207	92	19	an	an	DET
asir-36207	92	20	analytic	analytic	ADJ
asir-36207	92	21	expansion	expansion	NOUN
asir-36207	92	22	of	of	ADP
asir-36207	92	23	the	the	DET
asir-36207	92	24	bs	bs	NOUN
asir-36207	92	25	equation	equation	NOUN
asir-36207	92	26	:	:	PUNCT
asir-36207	92	27	www.scholink.org/ojs/index.php/asir	www.scholink.org/ojs/index.php/asir	NOUN
asir-36207	92	28	applied	apply	VERB
asir-36207	92	29	science	science	NOUN
asir-36207	92	30	and	and	CCONJ
asir-36207	92	31	innovative	innovative	ADJ
asir-36207	92	32	research	research	NOUN
asir-36207	92	33	vol	vol	NOUN
asir-36207	92	34	.	.	PROPN
asir-36207	93	1	8	8	NUM
asir-36207	93	2	,	,	PUNCT
asir-36207	93	3	no	no	INTJ
asir-36207	93	4	.	.	NOUN
asir-36207	93	5	1	1	NUM
asir-36207	93	6	,	,	PUNCT
asir-36207	93	7	2024	2024	NUM
asir-36207	93	8	190	190	NUM
asir-36207	93	9	published	publish	VERB
asir-36207	93	10	by	by	ADP
asir-36207	93	11	scholink	scholink	PROPN
asir-36207	93	12	inc	inc	PROPN
asir-36207	93	13	.	.	PROPN
asir-36207	93	14	0	0	NUM
asir-36207	94	1	2	2	NUM
asir-36207	94	2	|	|	NOUN
asir-36207	94	3	(	(	PUNCT
asir-36207	94	4	/	/	SYM
asir-36207	94	5	)	)	PUNCT
asir-36207	94	6	|	|	ADV
asir-36207	94	7	rlog	rlog	NOUN
asir-36207	94	8	s	s	PART
asir-36207	94	9	k	k	NOUN
asir-36207	94	10	e	e	X
asir-36207	94	11	x	x	X
asir-36207	94	12			NOUN
asir-36207	94	13			NOUN
asir-36207	94	14			PROPN
asir-36207	94	15	.	.	PUNCT
asir-36207	95	1	(	(	PUNCT
asir-36207	95	2	3.9	3.9	NUM
asir-36207	95	3	)	)	PUNCT
asir-36207	95	4	numerically	numerically	ADV
asir-36207	95	5	,	,	PUNCT
asir-36207	95	6	we	we	PRON
asir-36207	95	7	found	find	VERB
asir-36207	95	8	that	that	SCONJ
asir-36207	95	9	this	this	DET
asir-36207	95	10	initial	initial	ADJ
asir-36207	95	11	guess	guess	VERB
asir-36207	95	12	the	the	DET
asir-36207	95	13	fp	fp	PROPN
asir-36207	95	14	iteration	iteration	NOUN
asir-36207	95	15	converges	converge	VERB
asir-36207	95	16	rapidly	rapidly	ADV
asir-36207	95	17	.	.	PUNCT
asir-36207	96	1	3.3	3.3	NUM
asir-36207	96	2	predict	predict	VERB
asir-36207	96	3	the	the	DET
asir-36207	96	4	price	price	NOUN
asir-36207	96	5	of	of	ADP
asir-36207	96	6	an	an	DET
asir-36207	96	7	option	option	NOUN
asir-36207	96	8	the	the	DET
asir-36207	96	9	price	price	NOUN
asir-36207	96	10	of	of	ADP
asir-36207	96	11	an	an	DET
asir-36207	96	12	option	option	NOUN
asir-36207	96	13	can	can	AUX
asir-36207	96	14	be	be	AUX
asir-36207	96	15	predicted	predict	VERB
asir-36207	96	16	using	use	VERB
asir-36207	96	17	the	the	DET
asir-36207	96	18	bs	bs	NOUN
asir-36207	96	19	model	model	NOUN
asir-36207	96	20	in	in	ADP
asir-36207	96	21	a	a	DET
asir-36207	96	22	"	"	PUNCT
asir-36207	96	23	forward	forward	ADJ
asir-36207	96	24	"	"	PUNCT
asir-36207	96	25	model	model	NOUN
asir-36207	96	26	with	with	ADP
asir-36207	96	27	either	either	CCONJ
asir-36207	96	28	σ	σ	PROPN
asir-36207	96	29	=	=	NOUN
asir-36207	96	30	σhv	σhv	PROPN
asir-36207	96	31	or	or	CCONJ
asir-36207	96	32	σ	σ	X
asir-36207	96	33	=	=	PROPN
asir-36207	96	34	σiv	σiv	ADV
asir-36207	96	35	for	for	ADP
asir-36207	96	36	volatility	volatility	NOUN
asir-36207	96	37	.	.	PUNCT
asir-36207	97	1	in	in	ADP
asir-36207	97	2	practice	practice	NOUN
asir-36207	97	3	,	,	PUNCT
asir-36207	97	4	we	we	PRON
asir-36207	97	5	follow	follow	VERB
asir-36207	97	6	these	these	DET
asir-36207	97	7	steps	step	NOUN
asir-36207	97	8	to	to	PART
asir-36207	97	9	make	make	VERB
asir-36207	97	10	predictions	prediction	NOUN
asir-36207	97	11	:	:	PUNCT
asir-36207	97	12	first	first	ADV
asir-36207	97	13	,	,	PUNCT
asir-36207	97	14	we	we	PRON
asir-36207	97	15	obtain	obtain	VERB
asir-36207	97	16	a	a	DET
asir-36207	97	17	σ	σ	NOUN
asir-36207	97	18	based	base	VERB
asir-36207	97	19	on	on	ADP
asir-36207	97	20	today	today	NOUN
asir-36207	97	21	's	's	PART
asir-36207	97	22	data	datum	NOUN
asir-36207	97	23	(	(	PUNCT
asir-36207	97	24	s	s	X
asir-36207	97	25	,	,	PUNCT
asir-36207	97	26	k	k	X
asir-36207	97	27	,	,	PUNCT
asir-36207	97	28	r	r	NOUN
asir-36207	97	29	and	and	CCONJ
asir-36207	97	30	τ	τ	PROPN
asir-36207	97	31	)	)	PUNCT
asir-36207	97	32	*	*	PUNCT
asir-36207	97	33	.	.	PUNCT
asir-36207	98	1	then	then	ADV
asir-36207	98	2	,	,	PUNCT
asir-36207	98	3	when	when	SCONJ
asir-36207	98	4	tomorrow	tomorrow	NOUN
asir-36207	98	5	's	's	PART
asir-36207	98	6	data	datum	NOUN
asir-36207	98	7	becomes	become	VERB
asir-36207	98	8	available	available	ADJ
asir-36207	98	9	,	,	PUNCT
asir-36207	98	10	we	we	PRON
asir-36207	98	11	calculate	calculate	VERB
asir-36207	98	12	cσ	cσ	ADV
asir-36207	98	13	using	use	VERB
asir-36207	98	14	(	(	PUNCT
asir-36207	98	15	3.10	3.10	NUM
asir-36207	98	16	)	)	PUNCT
asir-36207	98	17	with	with	ADP
asir-36207	98	18	the	the	DET
asir-36207	98	19	obtained	obtain	VERB
asir-36207	98	20	σ	σ	PROPN
asir-36207	98	21	and	and	CCONJ
asir-36207	98	22	the	the	DET
asir-36207	98	23	new	new	ADJ
asir-36207	98	24	data	datum	NOUN
asir-36207	98	25	.	.	PUNCT
asir-36207	99	1	this	this	DET
asir-36207	99	2	procedure	procedure	NOUN
asir-36207	99	3	allows	allow	VERB
asir-36207	99	4	us	we	PRON
asir-36207	99	5	to	to	PART
asir-36207	99	6	generate	generate	VERB
asir-36207	99	7	a	a	DET
asir-36207	99	8	series	series	NOUN
asir-36207	99	9	of	of	ADP
asir-36207	99	10	estimated	estimate	VERB
asir-36207	99	11	prices	price	NOUN
asir-36207	99	12	that	that	PRON
asir-36207	99	13	can	can	AUX
asir-36207	99	14	be	be	AUX
asir-36207	99	15	compared	compare	VERB
asir-36207	99	16	to	to	ADP
asir-36207	99	17	the	the	DET
asir-36207	99	18	actual	actual	ADJ
asir-36207	99	19	market	market	NOUN
asir-36207	99	20	price	price	NOUN
asir-36207	99	21	through	through	ADP
asir-36207	99	22	a	a	DET
asir-36207	99	23	t	t	NOUN
asir-36207	99	24	-	-	PUNCT
asir-36207	99	25	test	test	NOUN
asir-36207	99	26	.	.	PUNCT
asir-36207	100	1	4	4	X
asir-36207	100	2	.	.	X
asir-36207	100	3	data	datum	NOUN
asir-36207	100	4	information	information	NOUN
asir-36207	100	5	we	we	PRON
asir-36207	100	6	collect	collect	VERB
asir-36207	100	7	data	datum	NOUN
asir-36207	100	8	for	for	ADP
asir-36207	100	9	an	an	DET
asir-36207	100	10	option	option	NOUN
asir-36207	100	11	of	of	ADP
asir-36207	100	12	50etf	50etf	NOUN
asir-36207	100	13	with	with	ADP
asir-36207	100	14	number	number	NOUN
asir-36207	100	15	ho2308	ho2308	PROPN
asir-36207	100	16	-	-	PUNCT
asir-36207	100	17	c	c	PROPN
asir-36207	100	18	from	from	ADP
asir-36207	100	19	june	june	PROPN
asir-36207	100	20	19	19	NUM
asir-36207	100	21	to	to	ADP
asir-36207	100	22	august	august	PROPN
asir-36207	100	23	18	18	NUM
asir-36207	100	24	in	in	ADP
asir-36207	100	25	2023	2023	NUM
asir-36207	100	26	.	.	PUNCT
asir-36207	101	1	ho2308	ho2308	PROPN
asir-36207	101	2	-	-	PUNCT
asir-36207	101	3	c	c	PROPN
asir-36207	101	4	is	be	AUX
asir-36207	101	5	a	a	DET
asir-36207	101	6	call	call	NOUN
asir-36207	101	7	option	option	NOUN
asir-36207	101	8	started	start	VERB
asir-36207	101	9	from	from	ADP
asir-36207	101	10	june	june	PROPN
asir-36207	101	11	19	19	NUM
asir-36207	101	12	and	and	CCONJ
asir-36207	101	13	the	the	DET
asir-36207	101	14	expiration	expiration	NOUN
asir-36207	101	15	date	date	NOUN
asir-36207	101	16	is	be	AUX
asir-36207	101	17	august	august	PROPN
asir-36207	101	18	18	18	NUM
asir-36207	101	19	in	in	ADP
asir-36207	101	20	2023	2023	NUM
asir-36207	101	21	.	.	PUNCT
asir-36207	102	1	all	all	DET
asir-36207	102	2	the	the	DET
asir-36207	102	3	data	datum	NOUN
asir-36207	102	4	used	use	VERB
asir-36207	102	5	here	here	ADV
asir-36207	102	6	are	be	AUX
asir-36207	102	7	collected	collect	VERB
asir-36207	102	8	from	from	ADP
asir-36207	102	9	the	the	DET
asir-36207	102	10	website	website	NOUN
asir-36207	102	11	of	of	ADP
asir-36207	102	12	china	china	PROPN
asir-36207	102	13	financial	financial	PROPN
asir-36207	102	14	futures	futures	PROPN
asir-36207	102	15	exchange	exchange	NOUN
asir-36207	102	16	(	(	PUNCT
asir-36207	102	17	cffe	cffe	ADJ
asir-36207	102	18	)	)	PUNCT
asir-36207	102	19	(	(	PUNCT
asir-36207	102	20	http://www.cffex.com.cn	http://www.cffex.com.cn	NOUN
asir-36207	102	21	)	)	PUNCT
asir-36207	102	22	.	.	PUNCT
asir-36207	103	1	5	5	X
asir-36207	103	2	.	.	X
asir-36207	103	3	data	datum	NOUN
asir-36207	103	4	analysis	analysis	NOUN
asir-36207	103	5	and	and	CCONJ
asir-36207	103	6	interpretation	interpretation	NOUN
asir-36207	103	7	in	in	ADP
asir-36207	103	8	this	this	DET
asir-36207	103	9	section	section	NOUN
asir-36207	103	10	,	,	PUNCT
asir-36207	103	11	we	we	PRON
asir-36207	103	12	analyze	analyze	VERB
asir-36207	103	13	the	the	DET
asir-36207	103	14	collected	collect	VERB
asir-36207	103	15	data	datum	NOUN
asir-36207	103	16	of	of	ADP
asir-36207	103	17	option	option	NOUN
asir-36207	103	18	ho2308	ho2308	PROPN
asir-36207	103	19	-	-	PUNCT
asir-36207	103	20	c.	c.	NOUN
asir-36207	103	21	we	we	PRON
asir-36207	103	22	first	first	ADV
asir-36207	103	23	calculate	calculate	VERB
asir-36207	103	24	volatility	volatility	NOUN
asir-36207	103	25	using	use	VERB
asir-36207	103	26	two	two	NUM
asir-36207	103	27	methods	method	NOUN
asir-36207	103	28	:	:	PUNCT
asir-36207	103	29	implied	imply	VERB
asir-36207	103	30	volatility	volatility	NOUN
asir-36207	103	31	(	(	PUNCT
asir-36207	103	32	σiv	σiv	ADV
asir-36207	103	33	)	)	PUNCT
asir-36207	103	34	via	via	ADP
asir-36207	103	35	the	the	DET
asir-36207	103	36	bs	bs	PROPN
asir-36207	103	37	model	model	NOUN
asir-36207	103	38	and	and	CCONJ
asir-36207	103	39	historical	historical	ADJ
asir-36207	103	40	volatility	volatility	NOUN
asir-36207	103	41	(	(	PUNCT
asir-36207	103	42	σhv	σhv	NOUN
asir-36207	103	43	)	)	PUNCT
asir-36207	103	44	through	through	ADP
asir-36207	103	45	statistical	statistical	ADJ
asir-36207	103	46	analysis	analysis	NOUN
asir-36207	103	47	.	.	PUNCT
asir-36207	104	1	using	use	VERB
asir-36207	104	2	these	these	DET
asir-36207	104	3	volatilities	volatility	NOUN
asir-36207	104	4	,	,	PUNCT
asir-36207	104	5	we	we	PRON
asir-36207	104	6	predict	predict	VERB
asir-36207	104	7	the	the	DET
asir-36207	104	8	option	option	NOUN
asir-36207	104	9	price	price	NOUN
asir-36207	104	10	using	use	VERB
asir-36207	104	11	the	the	DET
asir-36207	104	12	forward	forward	ADJ
asir-36207	104	13	fashion	fashion	NOUN
asir-36207	104	14	of	of	ADP
asir-36207	104	15	the	the	DET
asir-36207	104	16	bs	bs	PROPN
asir-36207	104	17	model	model	NOUN
asir-36207	104	18	.	.	PUNCT
asir-36207	105	1	throughout	throughout	ADP
asir-36207	105	2	this	this	DET
asir-36207	105	3	section	section	NOUN
asir-36207	105	4	,	,	PUNCT
asir-36207	105	5	we	we	PRON
asir-36207	105	6	assume	assume	VERB
asir-36207	105	7	a	a	DET
asir-36207	105	8	risk	risk	NOUN
asir-36207	105	9	-	-	PUNCT
asir-36207	105	10	free	free	ADJ
asir-36207	105	11	interest	interest	NOUN
asir-36207	105	12	rate	rate	NOUN
asir-36207	105	13	of	of	ADP
asir-36207	105	14	r=0.025	r=0.025	NOUN
asir-36207	105	15	%	%	NOUN
asir-36207	105	16	.	.	PUNCT
asir-36207	106	1	specifically	specifically	ADV
asir-36207	106	2	,	,	PUNCT
asir-36207	106	3	for	for	ADP
asir-36207	106	4	the	the	DET
asir-36207	106	5	first	first	ADJ
asir-36207	106	6	method	method	NOUN
asir-36207	106	7	,	,	PUNCT
asir-36207	106	8	σiv	σiv	ADV
asir-36207	106	9	is	be	AUX
asir-36207	106	10	calculated	calculate	VERB
asir-36207	106	11	using	use	VERB
asir-36207	106	12	yesterday	yesterday	NOUN
asir-36207	106	13	's	's	PART
asir-36207	106	14	market	market	NOUN
asir-36207	106	15	data	datum	NOUN
asir-36207	106	16	(	(	PUNCT
asir-36207	106	17	stock	stock	NOUN
asir-36207	106	18	price	price	NOUN
asir-36207	106	19	s	s	NOUN
asir-36207	106	20	,	,	PUNCT
asir-36207	106	21	option	option	NOUN
asir-36207	106	22	strike	strike	NOUN
asir-36207	106	23	price	price	NOUN
asir-36207	106	24	k	k	NOUN
asir-36207	106	25	,	,	PUNCT
asir-36207	106	26	and	and	CCONJ
asir-36207	106	27	time	time	NOUN
asir-36207	106	28	to	to	ADP
asir-36207	106	29	expiration	expiration	NOUN
asir-36207	106	30	τ	τ	PROPN
asir-36207	106	31	)	)	PUNCT
asir-36207	106	32	,	,	PUNCT
asir-36207	106	33	which	which	PRON
asir-36207	106	34	is	be	AUX
asir-36207	106	35	then	then	ADV
asir-36207	106	36	used	use	VERB
asir-36207	106	37	to	to	PART
asir-36207	106	38	predict	predict	VERB
asir-36207	106	39	today	today	NOUN
asir-36207	106	40	's	's	PART
asir-36207	106	41	option	option	NOUN
asir-36207	106	42	price	price	NOUN
asir-36207	106	43	.	.	PUNCT
asir-36207	107	1	for	for	ADP
asir-36207	107	2	the	the	DET
asir-36207	107	3	second	second	ADJ
asir-36207	107	4	method	method	NOUN
asir-36207	107	5	,	,	PUNCT
asir-36207	107	6	σhv	σhv	PROPN
asir-36207	107	7	is	be	AUX
asir-36207	107	8	calculated	calculate	VERB
asir-36207	107	9	based	base	VERB
asir-36207	107	10	on	on	ADP
asir-36207	107	11	market	market	NOUN
asir-36207	107	12	data	datum	NOUN
asir-36207	107	13	from	from	ADP
asir-36207	107	14	the	the	DET
asir-36207	107	15	last	last	ADJ
asir-36207	107	16	5	5	NUM
asir-36207	107	17	trading	trading	NOUN
asir-36207	107	18	days	day	NOUN
asir-36207	107	19	according	accord	VERB
asir-36207	107	20	to	to	ADP
asir-36207	107	21	equation	equation	NOUN
asir-36207	107	22	(	(	PUNCT
asir-36207	107	23	3.1	3.1	NUM
asir-36207	107	24	)	)	PUNCT
asir-36207	107	25	.	.	PUNCT
asir-36207	108	1	finally	finally	ADV
asir-36207	108	2	,	,	PUNCT
asir-36207	108	3	a	a	DET
asir-36207	108	4	t	t	NOUN
asir-36207	108	5	-	-	PUNCT
asir-36207	108	6	test	test	NOUN
asir-36207	108	7	is	be	AUX
asir-36207	108	8	conducted	conduct	VERB
asir-36207	108	9	on	on	ADP
asir-36207	108	10	predicted	predict	VERB
asir-36207	108	11	option	option	NOUN
asir-36207	108	12	prices	price	NOUN
asir-36207	108	13	for	for	ADP
asir-36207	108	14	each	each	DET
asir-36207	108	15	strike	strike	NOUN
asir-36207	108	16	and	and	CCONJ
asir-36207	108	17	trading	trading	NOUN
asir-36207	108	18	day	day	NOUN
asir-36207	108	19	obtained	obtain	VERB
asir-36207	108	20	from	from	ADP
asir-36207	108	21	both	both	DET
asir-36207	108	22	methods	method	NOUN
asir-36207	108	23	.	.	PUNCT
asir-36207	109	1	5.1	5.1	NUM
asir-36207	109	2	predict	predict	VERB
asir-36207	109	3	the	the	DET
asir-36207	109	4	option	option	NOUN
asir-36207	109	5	price	price	NOUN
asir-36207	109	6	via	via	ADP
asir-36207	109	7	bs+iv	bs+iv	NOUN
asir-36207	109	8	with	with	ADP
asir-36207	109	9	the	the	DET
asir-36207	109	10	data	datum	NOUN
asir-36207	109	11	,	,	PUNCT
asir-36207	109	12	we	we	PRON
asir-36207	109	13	show	show	VERB
asir-36207	109	14	in	in	ADP
asir-36207	109	15	figure	figure	NOUN
asir-36207	109	16	1	1	NUM
asir-36207	109	17	the	the	DET
asir-36207	109	18	computed	computed	ADJ
asir-36207	109	19	implied	imply	VERB
asir-36207	109	20	volatility	volatility	NOUN
asir-36207	109	21	σiv	σiv	ADV
asir-36207	109	22	;	;	PUNCT
asir-36207	109	23	there	there	PRON
asir-36207	109	24	are	be	VERB
asir-36207	109	25	21×42=882	21×42=882	NUM
asir-36207	109	26	values	value	NOUN
asir-36207	109	27	of	of	ADP
asir-36207	109	28	σiv	σiv	ADV
asir-36207	109	29	.	.	PUNCT
asir-36207	110	1	each	each	DET
asir-36207	110	2	value	value	NOUN
asir-36207	110	3	of	of	ADP
asir-36207	110	4	σiv	σiv	ADV
asir-36207	110	5	is	be	AUX
asir-36207	110	6	obtained	obtain	VERB
asir-36207	110	7	by	by	ADP
asir-36207	110	8	solving	solve	VERB
asir-36207	110	9	the	the	DET
asir-36207	110	10	bs	bs	NOUN
asir-36207	110	11	equation	equation	NOUN
asir-36207	110	12	via	via	ADP
asir-36207	110	13	the	the	DET
asir-36207	110	14	fixed	fix	VERB
asir-36207	110	15	-	-	PUNCT
asir-36207	110	16	point	point	NOUN
asir-36207	110	17	(	(	PUNCT
asir-36207	110	18	fp	fp	X
asir-36207	110	19	)	)	PUNCT
asir-36207	110	20	iteration	iteration	NOUN
asir-36207	110	21	(	(	PUNCT
asir-36207	110	22	cf	cf	NOUN
asir-36207	110	23	.	.	PUNCT
asir-36207	110	24	section	section	NOUN
asir-36207	110	25	3.2	3.2	NUM
asir-36207	110	26	)	)	PUNCT
asir-36207	110	27	.	.	PUNCT
asir-36207	111	1	for	for	ADP
asir-36207	111	2	fp	fp	PROPN
asir-36207	111	3	iteration	iteration	NOUN
asir-36207	111	4	,	,	PUNCT
asir-36207	111	5	the	the	DET
asir-36207	111	6	tolerance	tolerance	NOUN
asir-36207	111	7	is	be	AUX
asir-36207	111	8	set	set	VERB
asir-36207	111	9	to	to	ADP
asir-36207	111	10	10	10	NUM
asir-36207	111	11	-	-	SYM
asir-36207	111	12	6	6	NUM
asir-36207	111	13	.	.	PUNCT
asir-36207	112	1	in	in	ADP
asir-36207	112	2	figure	figure	NOUN
asir-36207	112	3	2	2	NUM
asir-36207	112	4	and	and	CCONJ
asir-36207	112	5	figure	figure	VERB
asir-36207	112	6	3	3	NUM
asir-36207	112	7	,	,	PUNCT
asir-36207	112	8	for	for	ADP
asir-36207	112	9	each	each	DET
asir-36207	112	10	σiv	σiv	ADV
asir-36207	112	11	we	we	PRON
asir-36207	112	12	show	show	VERB
asir-36207	112	13	the	the	DET
asir-36207	112	14	required	require	VERB
asir-36207	112	15	fp	fp	NOUN
asir-36207	112	16	iteration	iteration	NOUN
asir-36207	112	17	number	number	NOUN
asir-36207	112	18	and	and	CCONJ
asir-36207	112	19	the	the	DET
asir-36207	112	20	residuals	residual	NOUN
asir-36207	112	21	at	at	ADP
asir-36207	112	22	the	the	DET
asir-36207	112	23	last	last	ADJ
asir-36207	112	24	fp	fp	ADJ
asir-36207	112	25	iteration	iteration	NOUN
asir-36207	112	26	.	.	PUNCT
asir-36207	113	1	from	from	ADP
asir-36207	113	2	figure	figure	NOUN
asir-36207	113	3	2	2	NUM
asir-36207	113	4	and	and	CCONJ
asir-36207	113	5	figure	figure	VERB
asir-36207	113	6	3	3	NUM
asir-36207	113	7	,	,	PUNCT
asir-36207	113	8	we	we	PRON
asir-36207	113	9	see	see	VERB
asir-36207	113	10	that	that	SCONJ
asir-36207	113	11	we	we	PRON
asir-36207	113	12	need	need	VERB
asir-36207	113	13	at	at	ADV
asir-36207	113	14	most	most	ADV
asir-36207	113	15	8	8	NUM
asir-36207	113	16	fp	fp	NOUN
asir-36207	113	17	iterations	iteration	NOUN
asir-36207	113	18	to	to	PART
asir-36207	113	19	arrive	arrive	VERB
asir-36207	113	20	at	at	ADP
asir-36207	113	21	the	the	DET
asir-36207	113	22	prescribed	prescribed	ADJ
asir-36207	113	23	tolerance	tolerance	NOUN
asir-36207	113	24	and	and	CCONJ
asir-36207	113	25	this	this	PRON
asir-36207	113	26	means	mean	VERB
asir-36207	113	27	our	our	PRON
asir-36207	113	28	fp	fp	PROPN
asir-36207	113	29	method	method	NOUN
asir-36207	113	30	is	be	AUX
asir-36207	113	31	very	very	ADV
asir-36207	113	32	efficient	efficient	ADJ
asir-36207	113	33	to	to	PART
asir-36207	113	34	handle	handle	VERB
asir-36207	113	35	the	the	DET
asir-36207	113	36	nonlinear	nonlinear	ADJ
asir-36207	113	37	bs	bs	ADJ
asir-36207	113	38	equation	equation	NOUN
asir-36207	113	39	.	.	PUNCT
asir-36207	114	1	https://www.nasdaq.com/market-activity/stocks/goog/option-chain	https://www.nasdaq.com/market-activity/stocks/goog/option-chain	PROPN
asir-36207	114	2	.	.	X
asir-36207	115	1	www.scholink.org/ojs/index.php/asir	www.scholink.org/ojs/index.php/asir	PROPN
asir-36207	115	2	applied	apply	VERB
asir-36207	115	3	science	science	NOUN
asir-36207	115	4	and	and	CCONJ
asir-36207	115	5	innovative	innovative	ADJ
asir-36207	115	6	research	research	NOUN
asir-36207	115	7	vol	vol	NOUN
asir-36207	115	8	.	.	PROPN
asir-36207	116	1	8	8	NUM
asir-36207	116	2	,	,	PUNCT
asir-36207	116	3	no	no	INTJ
asir-36207	116	4	.	.	NOUN
asir-36207	116	5	1	1	NUM
asir-36207	116	6	,	,	PUNCT
asir-36207	116	7	2024	2024	NUM
asir-36207	116	8	191	191	NUM
asir-36207	116	9	published	publish	VERB
asir-36207	116	10	by	by	ADP
asir-36207	116	11	scholink	scholink	PROPN
asir-36207	116	12	inc	inc	PROPN
asir-36207	116	13	.	.	PROPN
asir-36207	116	14	figure	figure	NOUN
asir-36207	116	15	1	1	NUM
asir-36207	116	16	.	.	PUNCT
asir-36207	117	1	the	the	DET
asir-36207	117	2	implied	imply	VERB
asir-36207	117	3	volatility	volatility	NOUN
asir-36207	117	4	σiv	σiv	ADV
asir-36207	117	5	computed	compute	VERB
asir-36207	117	6	via	via	ADP
asir-36207	117	7	the	the	DET
asir-36207	117	8	bs	bs	PROPN
asir-36207	117	9	model	model	NOUN
asir-36207	117	10	for	for	ADP
asir-36207	117	11	the	the	DET
asir-36207	117	12	ho2308	ho2308	PROPN
asir-36207	117	13	-	-	PUNCT
asir-36207	117	14	c	c	NOUN
asir-36207	117	15	option	option	NOUN
asir-36207	117	16	with	with	ADP
asir-36207	117	17	data	datum	NOUN
asir-36207	117	18	given	give	VERB
asir-36207	117	19	in	in	ADP
asir-36207	117	20	table	table	NOUN
asir-36207	117	21	4.1	4.1	NUM
asir-36207	117	22	,	,	PUNCT
asir-36207	117	23	table	table	NOUN
asir-36207	117	24	4.2	4.2	NUM
asir-36207	117	25	,	,	PUNCT
asir-36207	117	26	table	table	NOUN
asir-36207	117	27	4.3	4.3	NUM
asir-36207	117	28	and	and	CCONJ
asir-36207	117	29	table	table	NOUN
asir-36207	117	30	4.4	4.4	NUM
asir-36207	117	31	in	in	ADP
asir-36207	117	32	section	section	NOUN
asir-36207	117	33	4	4	NUM
asir-36207	117	34	figure	figure	NOUN
asir-36207	117	35	2	2	NUM
asir-36207	117	36	.	.	PUNCT
asir-36207	118	1	for	for	ADP
asir-36207	118	2	each	each	DET
asir-36207	118	3	value	value	NOUN
asir-36207	118	4	of	of	ADP
asir-36207	118	5	the	the	DET
asir-36207	118	6	computed	compute	VERB
asir-36207	118	7	σiv	σiv	ADV
asir-36207	118	8	in	in	ADP
asir-36207	118	9	figure	figure	NOUN
asir-36207	118	10	1	1	NUM
asir-36207	118	11	,	,	PUNCT
asir-36207	118	12	the	the	DET
asir-36207	118	13	measured	measure	VERB
asir-36207	118	14	iteration	iteration	NOUN
asir-36207	118	15	number	number	NOUN
asir-36207	118	16	for	for	ADP
asir-36207	118	17	the	the	DET
asir-36207	118	18	fp	fp	PROPN
asir-36207	118	19	method	method	NOUN
asir-36207	118	20	introduced	introduce	VERB
asir-36207	118	21	in	in	ADP
asir-36207	118	22	section	section	NOUN
asir-36207	118	23	3.2	3.2	NUM
asir-36207	118	24	figure	figure	NOUN
asir-36207	118	25	3	3	NUM
asir-36207	118	26	.	.	PUNCT
asir-36207	119	1	for	for	ADP
asir-36207	119	2	each	each	DET
asir-36207	119	3	value	value	NOUN
asir-36207	119	4	of	of	ADP
asir-36207	119	5	the	the	DET
asir-36207	119	6	computed	compute	VERB
asir-36207	119	7	σiv	σiv	ADV
asir-36207	119	8	in	in	ADP
asir-36207	119	9	figure	figure	NOUN
asir-36207	119	10	1	1	NUM
asir-36207	119	11	,	,	PUNCT
asir-36207	119	12	the	the	DET
asir-36207	119	13	final	final	ADJ
asir-36207	119	14	residual	residual	NOUN
asir-36207	119	15	of	of	ADP
asir-36207	119	16	the	the	DET
asir-36207	119	17	fp	fp	PROPN
asir-36207	119	18	iteration	iteration	NOUN
asir-36207	119	19	www.scholink.org/ojs/index.php/asir	www.scholink.org/ojs/index.php/asir	NOUN
asir-36207	119	20	applied	apply	VERB
asir-36207	119	21	science	science	NOUN
asir-36207	119	22	and	and	CCONJ
asir-36207	119	23	innovative	innovative	ADJ
asir-36207	119	24	research	research	NOUN
asir-36207	119	25	vol	vol	NOUN
asir-36207	119	26	.	.	PROPN
asir-36207	120	1	8	8	NUM
asir-36207	120	2	,	,	PUNCT
asir-36207	120	3	no	no	INTJ
asir-36207	120	4	.	.	NOUN
asir-36207	120	5	1	1	NUM
asir-36207	120	6	,	,	PUNCT
asir-36207	120	7	2024	2024	NUM
asir-36207	120	8	192	192	NUM
asir-36207	120	9	published	publish	VERB
asir-36207	120	10	by	by	ADP
asir-36207	120	11	scholink	scholink	PROPN
asir-36207	120	12	inc	inc	PROPN
asir-36207	120	13	.	.	PUNCT
asir-36207	121	1	we	we	PRON
asir-36207	121	2	now	now	ADV
asir-36207	121	3	predict	predict	VERB
asir-36207	121	4	the	the	DET
asir-36207	121	5	option	option	NOUN
asir-36207	121	6	price	price	NOUN
asir-36207	121	7	by	by	ADP
asir-36207	121	8	using	use	VERB
asir-36207	121	9	the	the	DET
asir-36207	121	10	volatility	volatility	NOUN
asir-36207	121	11	σiv	σiv	ADV
asir-36207	121	12	.	.	PUNCT
asir-36207	122	1	to	to	ADP
asir-36207	122	2	this	this	DET
asir-36207	122	3	end	end	NOUN
asir-36207	122	4	,	,	PUNCT
asir-36207	122	5	we	we	PRON
asir-36207	122	6	use	use	VERB
asir-36207	122	7	the	the	DET
asir-36207	122	8	computed	compute	VERB
asir-36207	122	9	σiv	σiv	ADV
asir-36207	122	10	on	on	ADP
asir-36207	122	11	jun19	jun19	NOUN
asir-36207	122	12	to	to	PART
asir-36207	122	13	predict	predict	VERB
asir-36207	122	14	the	the	DET
asir-36207	122	15	price	price	NOUN
asir-36207	122	16	on	on	ADP
asir-36207	122	17	the	the	DET
asir-36207	122	18	next	next	ADJ
asir-36207	122	19	day	day	NOUN
asir-36207	122	20	,	,	PUNCT
asir-36207	122	21	i.e.	i.e.	X
asir-36207	122	22	,	,	PUNCT
asir-36207	122	23	jun20	jun20	NOUN
asir-36207	122	24	.	.	PUNCT
asir-36207	123	1	and	and	CCONJ
asir-36207	123	2	then	then	ADV
asir-36207	123	3	we	we	PRON
asir-36207	123	4	move	move	VERB
asir-36207	123	5	from	from	ADP
asir-36207	123	6	jun20	jun20	PROPN
asir-36207	123	7	to	to	PART
asir-36207	123	8	jun21	jun21	VERB
asir-36207	123	9	,	,	PUNCT
asir-36207	123	10	from	from	ADP
asir-36207	123	11	jun21	jun21	PROPN
asir-36207	123	12	to	to	ADP
asir-36207	123	13	jun	jun	PROPN
asir-36207	123	14	26	26	NUM
asir-36207	123	15	,	,	PUNCT
asir-36207	123	16	from	from	ADP
asir-36207	123	17	jun26	jun26	PROPN
asir-36207	123	18	to	to	ADP
asir-36207	123	19	jun27	jun27	PROPN
asir-36207	123	20	,	,	PUNCT
asir-36207	123	21	and	and	CCONJ
asir-36207	123	22	so	so	ADV
asir-36207	123	23	on	on	ADV
asir-36207	123	24	.	.	PUNCT
asir-36207	124	1	we	we	PRON
asir-36207	124	2	choose	choose	VERB
asir-36207	124	3	three	three	NUM
asir-36207	124	4	representative	representative	ADJ
asir-36207	124	5	trading	trading	NOUN
asir-36207	124	6	days	day	NOUN
asir-36207	124	7	,	,	PUNCT
asir-36207	124	8	jun26	jun26	PROPN
asir-36207	124	9	,	,	PUNCT
asir-36207	124	10	jul21	jul21	ADV
asir-36207	124	11	and	and	CCONJ
asir-36207	124	12	aug7	aug7	PROPN
asir-36207	124	13	,	,	PUNCT
asir-36207	124	14	for	for	ADP
asir-36207	124	15	which	which	PRON
asir-36207	124	16	we	we	PRON
asir-36207	124	17	show	show	VERB
asir-36207	124	18	in	in	ADP
asir-36207	124	19	figure	figure	NOUN
asir-36207	124	20	4	4	NUM
asir-36207	124	21	on	on	ADP
asir-36207	124	22	the	the	DET
asir-36207	124	23	right	right	NOUN
asir-36207	124	24	the	the	DET
asir-36207	124	25	real	real	ADJ
asir-36207	124	26	option	option	NOUN
asir-36207	124	27	prices	price	NOUN
asir-36207	124	28	and	and	CCONJ
asir-36207	124	29	the	the	DET
asir-36207	124	30	bs	bs	NOUN
asir-36207	124	31	-	-	PUNCT
asir-36207	124	32	predicted	predict	VERB
asir-36207	124	33	prices	price	NOUN
asir-36207	124	34	for	for	ADP
asir-36207	124	35	each	each	DET
asir-36207	124	36	strike	strike	NOUN
asir-36207	124	37	.	.	PUNCT
asir-36207	125	1	the	the	DET
asir-36207	125	2	predicted	predict	VERB
asir-36207	125	3	price	price	NOUN
asir-36207	125	4	is	be	AUX
asir-36207	125	5	obtained	obtain	VERB
asir-36207	125	6	by	by	ADP
asir-36207	125	7	using	use	VERB
asir-36207	125	8	the	the	DET
asir-36207	125	9	implied	imply	VERB
asir-36207	125	10	volatility	volatility	NOUN
asir-36207	125	11	computed	compute	VERB
asir-36207	125	12	from	from	ADP
asir-36207	125	13	the	the	DET
asir-36207	125	14	last	last	ADJ
asir-36207	125	15	trading	trading	NOUN
asir-36207	125	16	day	day	NOUN
asir-36207	125	17	(	(	PUNCT
asir-36207	125	18	left	leave	VERB
asir-36207	125	19	column	column	NOUN
asir-36207	125	20	in	in	ADP
asir-36207	125	21	figure	figure	NOUN
asir-36207	125	22	4	4	NUM
asir-36207	125	23	)	)	PUNCT
asir-36207	125	24	,	,	PUNCT
asir-36207	125	25	i.e.	i.e.	X
asir-36207	125	26	,	,	PUNCT
asir-36207	125	27	jun	jun	PROPN
asir-36207	125	28	21	21	NUM
asir-36207	125	29	,	,	PUNCT
asir-36207	125	30	jul20	jul20	NOUN
asir-36207	125	31	and	and	CCONJ
asir-36207	125	32	aug4	aug4	PROPN
asir-36207	125	33	.	.	PUNCT
asir-36207	126	1	figure	figure	VERB
asir-36207	126	2	4	4	NUM
asir-36207	126	3	.	.	PUNCT
asir-36207	127	1	for	for	ADP
asir-36207	127	2	three	three	NUM
asir-36207	127	3	representative	representative	ADJ
asir-36207	127	4	trading	trading	NOUN
asir-36207	127	5	days	day	NOUN
asir-36207	127	6	,	,	PUNCT
asir-36207	127	7	the	the	DET
asir-36207	127	8	computed	compute	VERB
asir-36207	127	9	implied	imply	VERB
asir-36207	127	10	volatility	volatility	NOUN
asir-36207	127	11	σiv	σiv	ADV
asir-36207	127	12	(	(	PUNCT
asir-36207	127	13	left	leave	VERB
asir-36207	127	14	)	)	PUNCT
asir-36207	127	15	and	and	CCONJ
asir-36207	127	16	the	the	DET
asir-36207	127	17	predicted	predict	VERB
asir-36207	127	18	option	option	NOUN
asir-36207	127	19	price	price	NOUN
asir-36207	127	20	by	by	ADP
asir-36207	127	21	using	use	VERB
asir-36207	127	22	the	the	DET
asir-36207	127	23	implied	imply	VERB
asir-36207	127	24	volatility	volatility	NOUN
asir-36207	127	25	(	(	PUNCT
asir-36207	127	26	right	right	ADJ
asir-36207	127	27	)	)	PUNCT
asir-36207	127	28	www.scholink.org/ojs/index.php/asir	www.scholink.org/ojs/index.php/asir	NOUN
asir-36207	127	29	applied	apply	VERB
asir-36207	127	30	science	science	NOUN
asir-36207	127	31	and	and	CCONJ
asir-36207	127	32	innovative	innovative	ADJ
asir-36207	127	33	research	research	NOUN
asir-36207	127	34	vol	vol	NOUN
asir-36207	127	35	.	.	PROPN
asir-36207	127	36	8	8	NUM
asir-36207	127	37	,	,	PUNCT
asir-36207	127	38	no	no	INTJ
asir-36207	127	39	.	.	NOUN
asir-36207	127	40	1	1	NUM
asir-36207	127	41	,	,	PUNCT
asir-36207	127	42	2024	2024	NUM
asir-36207	127	43	193	193	NUM
asir-36207	127	44	published	publish	VERB
asir-36207	127	45	by	by	ADP
asir-36207	127	46	scholink	scholink	PROPN
asir-36207	127	47	inc	inc	PROPN
asir-36207	127	48	.	.	PROPN
asir-36207	127	49	5.2	5.2	NUM
asir-36207	127	50	predict	predict	VERB
asir-36207	127	51	the	the	DET
asir-36207	127	52	option	option	NOUN
asir-36207	127	53	price	price	NOUN
asir-36207	127	54	via	via	ADP
asir-36207	128	1	bs+hv	bs+hv	ADV
asir-36207	128	2	we	we	PRON
asir-36207	128	3	next	next	ADV
asir-36207	128	4	consider	consider	VERB
asir-36207	128	5	another	another	DET
asir-36207	128	6	strategy	strategy	NOUN
asir-36207	128	7	to	to	PART
asir-36207	128	8	predict	predict	VERB
asir-36207	128	9	the	the	DET
asir-36207	128	10	option	option	NOUN
asir-36207	128	11	price	price	NOUN
asir-36207	128	12	:	:	PUNCT
asir-36207	128	13	using	use	VERB
asir-36207	128	14	the	the	DET
asir-36207	128	15	bs	bs	PROPN
asir-36207	128	16	model	model	NOUN
asir-36207	128	17	together	together	ADV
asir-36207	128	18	with	with	ADP
asir-36207	128	19	the	the	DET
asir-36207	128	20	history	history	NOUN
asir-36207	128	21	volatility	volatility	NOUN
asir-36207	128	22	σhv	σhv	NOUN
asir-36207	128	23	.	.	PUNCT
asir-36207	129	1	such	such	DET
asir-36207	129	2	a	a	DET
asir-36207	129	3	σhv	σhv	NOUN
asir-36207	129	4	is	be	AUX
asir-36207	129	5	computed	compute	VERB
asir-36207	129	6	via	via	ADP
asir-36207	129	7	a	a	DET
asir-36207	129	8	statistical	statistical	ADJ
asir-36207	129	9	manner	manner	NOUN
asir-36207	129	10	:	:	PUNCT
asir-36207	129	11	we	we	PRON
asir-36207	129	12	compute	compute	VERB
asir-36207	129	13	the	the	DET
asir-36207	129	14	volatility	volatility	NOUN
asir-36207	129	15	for	for	ADP
asir-36207	129	16	the	the	DET
asir-36207	129	17	(	(	PUNCT
asir-36207	129	18	m+1)-th	m+1)-th	NOUN
asir-36207	129	19	trading	trading	NOUN
asir-36207	129	20	day	day	NOUN
asir-36207	129	21	by	by	ADP
asir-36207	129	22	using	use	VERB
asir-36207	129	23	the	the	DET
asir-36207	129	24	real	real	ADJ
asir-36207	129	25	option	option	NOUN
asir-36207	129	26	prices	price	NOUN
asir-36207	129	27	of	of	ADP
asir-36207	129	28	the	the	DET
asir-36207	129	29	last	last	ADJ
asir-36207	129	30	m	m	NOUN
asir-36207	129	31	trading	trading	NOUN
asir-36207	129	32	days	day	NOUN
asir-36207	129	33	.	.	PUNCT
asir-36207	130	1	we	we	PRON
asir-36207	130	2	compute	compute	VERB
asir-36207	130	3	the	the	DET
asir-36207	130	4	volatility	volatility	NOUN
asir-36207	130	5	(	(	PUNCT
asir-36207	130	6	and	and	CCONJ
asir-36207	130	7	then	then	ADV
asir-36207	130	8	the	the	DET
asir-36207	130	9	option	option	NOUN
asir-36207	130	10	price	price	NOUN
asir-36207	130	11	)	)	PUNCT
asir-36207	130	12	from	from	ADP
asir-36207	130	13	jun28	jun28	PROPN
asir-36207	130	14	to	to	ADP
asir-36207	130	15	aug17	aug17	NOUN
asir-36207	130	16	.	.	PUNCT
asir-36207	131	1	the	the	DET
asir-36207	131	2	option	option	NOUN
asir-36207	131	3	prices	price	NOUN
asir-36207	131	4	of	of	ADP
asir-36207	131	5	the	the	DET
asir-36207	131	6	first	first	ADJ
asir-36207	131	7	five	five	NUM
asir-36207	131	8	trading	trading	NOUN
asir-36207	131	9	days	day	NOUN
asir-36207	131	10	,	,	PUNCT
asir-36207	131	11	i.e.	i.e.	X
asir-36207	131	12	,	,	PUNCT
asir-36207	131	13	jun19	jun19	PROPN
asir-36207	131	14	,	,	PUNCT
asir-36207	131	15	jun20	jun20	PROPN
asir-36207	131	16	,	,	PUNCT
asir-36207	131	17	jun21	jun21	PROPN
asir-36207	131	18	,	,	PUNCT
asir-36207	131	19	jun26	jun26	PROPN
asir-36207	131	20	and	and	CCONJ
asir-36207	131	21	jun27	jun27	PROPN
asir-36207	131	22	,	,	PUNCT
asir-36207	131	23	are	be	AUX
asir-36207	131	24	used	use	VERB
asir-36207	131	25	to	to	PART
asir-36207	131	26	predict	predict	VERB
asir-36207	131	27	the	the	DET
asir-36207	131	28	option	option	NOUN
asir-36207	131	29	price	price	NOUN
asir-36207	131	30	of	of	ADP
asir-36207	131	31	jun28	jun28	NOUN
asir-36207	131	32	.	.	PUNCT
asir-36207	132	1	with	with	ADP
asir-36207	132	2	these	these	DET
asir-36207	132	3	configurations	configuration	NOUN
asir-36207	132	4	,	,	PUNCT
asir-36207	132	5	we	we	PRON
asir-36207	132	6	show	show	VERB
asir-36207	132	7	in	in	ADP
asir-36207	132	8	figure	figure	NOUN
asir-36207	132	9	5	5	NUM
asir-36207	132	10	the	the	DET
asir-36207	132	11	computed	computed	ADJ
asir-36207	132	12	historical	historical	ADJ
asir-36207	132	13	volatility	volatility	NOUN
asir-36207	132	14	(	(	PUNCT
asir-36207	132	15	left	leave	VERB
asir-36207	132	16	)	)	PUNCT
asir-36207	132	17	and	and	CCONJ
asir-36207	132	18	the	the	DET
asir-36207	132	19	predicted	predict	VERB
asir-36207	132	20	option	option	NOUN
asir-36207	132	21	prices	price	NOUN
asir-36207	132	22	for	for	ADP
asir-36207	132	23	each	each	DET
asir-36207	132	24	strike	strike	NOUN
asir-36207	132	25	,	,	PUNCT
asir-36207	132	26	where	where	SCONJ
asir-36207	132	27	we	we	PRON
asir-36207	132	28	consider	consider	VERB
asir-36207	132	29	three	three	NUM
asir-36207	132	30	trading	trading	NOUN
asir-36207	132	31	days	day	NOUN
asir-36207	132	32	,	,	PUNCT
asir-36207	132	33	jun28	jun28	PROPN
asir-36207	132	34	,	,	PUNCT
asir-36207	132	35	jul21	jul21	ADV
asir-36207	132	36	and	and	CCONJ
asir-36207	132	37	aug7	aug7	PROPN
asir-36207	132	38	.	.	PUNCT
asir-36207	133	1	the	the	DET
asir-36207	133	2	bs	bs	PROPN
asir-36207	133	3	model	model	NOUN
asir-36207	133	4	gives	give	VERB
asir-36207	133	5	acceptable	acceptable	ADJ
asir-36207	133	6	predictions	prediction	NOUN
asir-36207	133	7	of	of	ADP
asir-36207	133	8	the	the	DET
asir-36207	133	9	real	real	ADJ
asir-36207	133	10	prices	price	NOUN
asir-36207	133	11	,	,	PUNCT
asir-36207	133	12	even	even	ADV
asir-36207	133	13	though	though	SCONJ
asir-36207	133	14	the	the	DET
asir-36207	133	15	difference	difference	NOUN
asir-36207	133	16	between	between	ADP
asir-36207	133	17	the	the	DET
asir-36207	133	18	two	two	NUM
asir-36207	133	19	prices	price	NOUN
asir-36207	133	20	is	be	AUX
asir-36207	133	21	obviously	obviously	ADV
asir-36207	133	22	visible	visible	ADJ
asir-36207	133	23	.	.	PUNCT
asir-36207	134	1	www.scholink.org/ojs/index.php/asir	www.scholink.org/ojs/index.php/asir	NOUN
asir-36207	134	2	applied	apply	VERB
asir-36207	134	3	science	science	NOUN
asir-36207	134	4	and	and	CCONJ
asir-36207	134	5	innovative	innovative	ADJ
asir-36207	134	6	research	research	NOUN
asir-36207	134	7	vol	vol	NOUN
asir-36207	134	8	.	.	PROPN
asir-36207	135	1	8	8	NUM
asir-36207	135	2	,	,	PUNCT
asir-36207	135	3	no	no	INTJ
asir-36207	135	4	.	.	NOUN
asir-36207	135	5	1	1	NUM
asir-36207	135	6	,	,	PUNCT
asir-36207	135	7	2024	2024	NUM
asir-36207	135	8	194	194	NUM
asir-36207	135	9	published	publish	VERB
asir-36207	135	10	by	by	ADP
asir-36207	135	11	scholink	scholink	PROPN
asir-36207	135	12	inc	inc	PROPN
asir-36207	135	13	.	.	PROPN
asir-36207	135	14	figure	figure	NOUN
asir-36207	135	15	5	5	NUM
asir-36207	135	16	.	.	PUNCT
asir-36207	136	1	for	for	ADP
asir-36207	136	2	three	three	NUM
asir-36207	136	3	trading	trading	NOUN
asir-36207	136	4	days	day	NOUN
asir-36207	136	5	,	,	PUNCT
asir-36207	136	6	the	the	DET
asir-36207	136	7	computed	compute	VERB
asir-36207	136	8	historical	historical	ADJ
asir-36207	136	9	volatility	volatility	NOUN
asir-36207	136	10	σhv	σhv	NOUN
asir-36207	136	11	(	(	PUNCT
asir-36207	136	12	left	leave	VERB
asir-36207	136	13	)	)	PUNCT
asir-36207	136	14	and	and	CCONJ
asir-36207	136	15	the	the	DET
asir-36207	136	16	predicted	predict	VERB
asir-36207	136	17	option	option	NOUN
asir-36207	136	18	price	price	NOUN
asir-36207	136	19	by	by	ADP
asir-36207	136	20	using	use	VERB
asir-36207	136	21	the	the	DET
asir-36207	136	22	implied	imply	VERB
asir-36207	136	23	volatility	volatility	NOUN
asir-36207	136	24	(	(	PUNCT
asir-36207	136	25	right	right	ADJ
asir-36207	136	26	)	)	PUNCT
asir-36207	136	27	5.3	5.3	NUM
asir-36207	136	28	comparison	comparison	NOUN
asir-36207	136	29	and	and	CCONJ
asir-36207	136	30	interpretation	interpretation	NOUN
asir-36207	136	31	at	at	ADP
asir-36207	136	32	the	the	DET
asir-36207	136	33	end	end	NOUN
asir-36207	136	34	of	of	ADP
asir-36207	136	35	this	this	DET
asir-36207	136	36	section	section	NOUN
asir-36207	136	37	,	,	PUNCT
asir-36207	136	38	we	we	PRON
asir-36207	136	39	explain	explain	VERB
asir-36207	136	40	the	the	DET
asir-36207	136	41	predicted	predict	VERB
asir-36207	136	42	option	option	NOUN
asir-36207	136	43	prices	price	NOUN
asir-36207	136	44	in	in	ADP
asir-36207	136	45	section	section	NOUN
asir-36207	136	46	5.1	5.1	NUM
asir-36207	136	47	and	and	CCONJ
asir-36207	136	48	5.2	5.2	NUM
asir-36207	136	49	.	.	PUNCT
asir-36207	137	1	for	for	ADP
asir-36207	137	2	a	a	DET
asir-36207	137	3	given	give	VERB
asir-36207	137	4	strike	strike	NOUN
asir-36207	137	5	,	,	PUNCT
asir-36207	137	6	we	we	PRON
asir-36207	137	7	regard	regard	VERB
asir-36207	137	8	the	the	DET
asir-36207	137	9	predicted	predict	VERB
asir-36207	137	10	prices	price	NOUN
asir-36207	137	11	by	by	ADP
asir-36207	137	12	using	use	VERB
asir-36207	137	13	the	the	DET
asir-36207	137	14	implied	imply	VERB
asir-36207	137	15	volatility	volatility	NOUN
asir-36207	137	16	and	and	CCONJ
asir-36207	137	17	the	the	DET
asir-36207	137	18	historical	historical	ADJ
asir-36207	137	19	volatility	volatility	NOUN
asir-36207	137	20	by	by	ADP
asir-36207	137	21	two	two	NUM
asir-36207	137	22	samples	sample	NOUN
asir-36207	137	23	as	as	ADP
asir-36207	137	24	civ(k	civ(k	NOUN
asir-36207	137	25	)	)	PUNCT
asir-36207	137	26	and	and	CCONJ
asir-36207	137	27	chv(k	chv(k	NOUN
asir-36207	137	28	)	)	PUNCT
asir-36207	137	29	,	,	PUNCT
asir-36207	137	30	which	which	PRON
asir-36207	137	31	contain	contain	VERB
asir-36207	137	32	42	42	NUM
asir-36207	137	33	price	price	NOUN
asir-36207	137	34	values	value	NOUN
asir-36207	137	35	for	for	ADP
asir-36207	137	36	jun19	jun19	NOUN
asir-36207	137	37	,	,	PUNCT
asir-36207	137	38	jun20	jun20	NOUN
asir-36207	137	39	,	,	PUNCT
asir-36207	137	40	....	....	PUNCT
asir-36207	137	41	,	,	PUNCT
asir-36207	137	42	and	and	CCONJ
asir-36207	137	43	aug17	aug17	NOUN
asir-36207	137	44	.	.	PUNCT
asir-36207	138	1	for	for	ADP
asir-36207	138	2	civ(k	civ(k	PROPN
asir-36207	138	3	)	)	PUNCT
asir-36207	138	4	,	,	PUNCT
asir-36207	138	5	the	the	DET
asir-36207	138	6	first	first	ADJ
asir-36207	138	7	value	value	NOUN
asir-36207	138	8	(	(	PUNCT
asir-36207	138	9	for	for	ADP
asir-36207	138	10	jun19	jun19	NOUN
asir-36207	138	11	)	)	PUNCT
asir-36207	138	12	is	be	AUX
asir-36207	138	13	set	set	VERB
asir-36207	138	14	to	to	PART
asir-36207	138	15	be	be	AUX
asir-36207	138	16	null	null	ADJ
asir-36207	138	17	and	and	CCONJ
asir-36207	138	18	for	for	ADP
asir-36207	138	19	chv(k	chv(k	NOUN
asir-36207	138	20	)	)	PUNCT
asir-36207	138	21	the	the	DET
asir-36207	138	22	first	first	ADJ
asir-36207	138	23	m	m	NOUN
asir-36207	138	24	values	value	NOUN
asir-36207	138	25	are	be	AUX
asir-36207	138	26	set	set	VERB
asir-36207	138	27	to	to	PART
asir-36207	138	28	be	be	AUX
asir-36207	138	29	null	null	ADJ
asir-36207	138	30	;	;	PUNCT
asir-36207	138	31	see	see	VERB
asir-36207	138	32	illustration	illustration	NOUN
asir-36207	138	33	in	in	ADP
asir-36207	138	34	the	the	DET
asir-36207	138	35	following	follow	VERB
asir-36207	138	36	table	table	NOUN
asir-36207	138	37	1	1	NUM
asir-36207	138	38	.	.	PUNCT
asir-36207	139	1	the	the	DET
asir-36207	139	2	prices	price	NOUN
asir-36207	139	3	observed	observe	VERB
asir-36207	139	4	from	from	ADP
asir-36207	139	5	the	the	DET
asir-36207	139	6	market	market	NOUN
asir-36207	139	7	are	be	AUX
asir-36207	139	8	denoted	denote	VERB
asir-36207	139	9	by	by	ADP
asir-36207	139	10	cmar(k	cmar(k	PROPN
asir-36207	139	11	)	)	PUNCT
asir-36207	139	12	.	.	PUNCT
asir-36207	140	1	table	table	NOUN
asir-36207	140	2	1	1	NUM
asir-36207	140	3	.	.	PUNCT
asir-36207	140	4	notations	notation	NOUN
asir-36207	140	5	civ(k	civ(k	PROPN
asir-36207	140	6	)	)	PUNCT
asir-36207	140	7	and	and	CCONJ
asir-36207	140	8	chv(k	chv(k	NOUN
asir-36207	140	9	)	)	PUNCT
asir-36207	140	10	prepared	prepare	VERB
asir-36207	140	11	for	for	ADP
asir-36207	140	12	two	two	NUM
asir-36207	140	13	-	-	PUNCT
asir-36207	140	14	sample	sample	NOUN
asir-36207	140	15	t	t	NOUN
asir-36207	140	16	-	-	PUNCT
asir-36207	140	17	test	test	NOUN
asir-36207	140	18	jun19	jun19	PROPN
asir-36207	140	19	jun20	jun20	PROPN
asir-36207	140	20	........	........	PUNCT
asir-36207	140	21	........	........	PUNCT
asir-36207	141	1	........	........	PUNCT
asir-36207	142	1	aug17	aug17	PROPN
asir-36207	142	2	civ(k	civ(k	PROPN
asir-36207	142	3	)	)	PUNCT
asir-36207	142	4	null	null	NOUN
asir-36207	142	5	civ(k,2	civ(k,2	PROPN
asir-36207	142	6	)	)	PUNCT
asir-36207	142	7	........	........	PUNCT
asir-36207	143	1	civ(k	civ(k	NOUN
asir-36207	143	2	,	,	PUNCT
asir-36207	143	3	m+1	m+1	NUM
asir-36207	143	4	)	)	PUNCT
asir-36207	143	5	........	........	PUNCT
asir-36207	144	1	civ(k,42	civ(k,42	NOUN
asir-36207	144	2	)	)	PUNCT
asir-36207	144	3	chv(k	chv(k	NOUN
asir-36207	144	4	)	)	PUNCT
asir-36207	144	5	null	null	NOUN
asir-36207	144	6	........	........	PUNCT
asir-36207	144	7	null	null	ADJ
asir-36207	144	8	chv(k	chv(k	NOUN
asir-36207	144	9	,	,	PUNCT
asir-36207	144	10	m+1	m+1	NUM
asir-36207	144	11	)	)	PUNCT
asir-36207	144	12	........	........	PUNCT
asir-36207	145	1	chv(k,42	chv(k,42	X
asir-36207	145	2	)	)	PUNCT
asir-36207	145	3	cmar(k	cmar(k	PROPN
asir-36207	145	4	)	)	PUNCT
asir-36207	145	5	cmar(k,1	cmar(k,1	PROPN
asir-36207	145	6	)	)	PUNCT
asir-36207	145	7	cmar(k,2	cmar(k,2	PROPN
asir-36207	145	8	)	)	PUNCT
asir-36207	145	9	........	........	PUNCT
asir-36207	146	1	cmar(k	cmar(k	INTJ
asir-36207	146	2	,	,	PUNCT
asir-36207	146	3	m+1	m+1	NUM
asir-36207	146	4	)	)	PUNCT
asir-36207	146	5	........	........	PUNCT
asir-36207	147	1	cmar(k,42	cmar(k,42	NOUN
asir-36207	147	2	)	)	PUNCT
asir-36207	148	1	we	we	PRON
asir-36207	148	2	next	next	ADV
asir-36207	148	3	make	make	VERB
asir-36207	148	4	two	two	NUM
asir-36207	148	5	hypotheses	hypothesis	NOUN
asir-36207	148	6	:	:	PUNCT
asir-36207	148	7	h0	h0	NOUN
asir-36207	148	8	:	:	PUNCT
asir-36207	148	9	civ(k	civ(k	NOUN
asir-36207	148	10	)	)	PUNCT
asir-36207	148	11	(	(	PUNCT
asir-36207	148	12	or	or	CCONJ
asir-36207	148	13	chv(k	chv(k	NOUN
asir-36207	148	14	)	)	PUNCT
asir-36207	148	15	)	)	PUNCT
asir-36207	148	16	and	and	CCONJ
asir-36207	148	17	cmar(k	cmar(k	NOUN
asir-36207	148	18	)	)	PUNCT
asir-36207	148	19	come	come	VERB
asir-36207	148	20	from	from	ADP
asir-36207	148	21	the	the	DET
asir-36207	148	22	same	same	ADJ
asir-36207	148	23	random	random	ADJ
asir-36207	148	24	distribution	distribution	NOUN
asir-36207	148	25	(	(	PUNCT
asir-36207	148	26	with	with	ADP
asir-36207	148	27	the	the	DET
asir-36207	148	28	same	same	ADJ
asir-36207	148	29	mean	mean	NOUN
asir-36207	148	30	value	value	NOUN
asir-36207	148	31	and	and	CCONJ
asir-36207	148	32	the	the	DET
asir-36207	148	33	same	same	ADJ
asir-36207	148	34	unknown	unknown	ADJ
asir-36207	148	35	variance	variance	NOUN
asir-36207	148	36	)	)	PUNCT
asir-36207	148	37	,	,	PUNCT
asir-36207	148	38	which	which	PRON
asir-36207	148	39	means	mean	VERB
asir-36207	148	40	the	the	DET
asir-36207	148	41	difference	difference	NOUN
asir-36207	148	42	between	between	ADP
asir-36207	148	43	these	these	DET
asir-36207	148	44	two	two	NUM
asir-36207	148	45	samples	sample	NOUN
asir-36207	148	46	are	be	AUX
asir-36207	148	47	not	not	PART
asir-36207	148	48	significant	significant	ADJ
asir-36207	148	49	.	.	PUNCT
asir-36207	149	1	h1	h1	NOUN
asir-36207	149	2	:	:	PUNCT
asir-36207	149	3	civ(k	civ(k	NOUN
asir-36207	149	4	)	)	PUNCT
asir-36207	149	5	(	(	PUNCT
asir-36207	149	6	or	or	CCONJ
asir-36207	149	7	chv(k	chv(k	NOUN
asir-36207	149	8	)	)	PUNCT
asir-36207	149	9	)	)	PUNCT
asir-36207	149	10	and	and	CCONJ
asir-36207	149	11	cmar(k	cmar(k	NOUN
asir-36207	149	12	)	)	PUNCT
asir-36207	149	13	come	come	VERB
asir-36207	149	14	from	from	ADP
asir-36207	149	15	different	different	ADJ
asir-36207	149	16	random	random	ADJ
asir-36207	149	17	distribution	distribution	NOUN
asir-36207	149	18	,	,	PUNCT
asir-36207	149	19	which	which	PRON
asir-36207	149	20	means	mean	VERB
asir-36207	149	21	the	the	DET
asir-36207	149	22	difference	difference	NOUN
asir-36207	149	23	between	between	ADP
asir-36207	149	24	these	these	DET
asir-36207	149	25	two	two	NUM
asir-36207	149	26	samples	sample	NOUN
asir-36207	149	27	are	be	AUX
asir-36207	149	28	significant	significant	ADJ
asir-36207	149	29	.	.	PUNCT
asir-36207	150	1	then	then	ADV
asir-36207	150	2	,	,	PUNCT
asir-36207	150	3	for	for	ADP
asir-36207	150	4	each	each	DET
asir-36207	150	5	strike	strike	NOUN
asir-36207	150	6	of	of	ADP
asir-36207	150	7	the	the	DET
asir-36207	150	8	option	option	NOUN
asir-36207	150	9	hc2308	hc2308	PROPN
asir-36207	150	10	-	-	PUNCT
asir-36207	150	11	c	c	NOUN
asir-36207	150	12	we	we	PRON
asir-36207	150	13	list	list	VERB
asir-36207	150	14	the	the	DET
asir-36207	150	15	results	result	NOUN
asir-36207	150	16	of	of	ADP
asir-36207	150	17	the	the	DET
asir-36207	150	18	two	two	NUM
asir-36207	150	19	-	-	PUNCT
asir-36207	150	20	sample	sample	NOUN
asir-36207	150	21	t	t	NOUN
asir-36207	150	22	-	-	PUNCT
asir-36207	150	23	test	test	NOUN
asir-36207	150	24	by	by	ADP
asir-36207	150	25	using	use	VERB
asir-36207	150	26	the	the	DET
asir-36207	150	27	matlab	matlab	PROPN
asir-36207	150	28	command	command	PROPN
asir-36207	150	29	t	t	PROPN
asir-36207	150	30	-	-	PUNCT
asir-36207	150	31	test2	test2	NOUN
asir-36207	150	32	.	.	PUNCT
asir-36207	151	1	in	in	ADP
asir-36207	151	2	table	table	NOUN
asir-36207	151	3	2	2	NUM
asir-36207	151	4	,	,	PUNCT
asir-36207	151	5	we	we	PRON
asir-36207	151	6	show	show	VERB
asir-36207	151	7	the	the	DET
asir-36207	151	8	results	result	NOUN
asir-36207	151	9	for	for	ADP
asir-36207	151	10	the	the	DET
asir-36207	151	11	two	two	NUM
asir-36207	151	12	-	-	PUNCT
asir-36207	151	13	sample	sample	NOUN
asir-36207	151	14	t	t	NOUN
asir-36207	151	15	-	-	PUNCT
asir-36207	151	16	test	test	NOUN
asir-36207	151	17	and	and	CCONJ
asir-36207	151	18	we	we	PRON
asir-36207	151	19	get	get	VERB
asir-36207	151	20	two	two	NUM
asir-36207	151	21	messages	message	NOUN
asir-36207	151	22	from	from	ADP
asir-36207	151	23	these	these	DET
asir-36207	151	24	results	result	NOUN
asir-36207	151	25	.	.	PUNCT
asir-36207	152	1	first	first	ADV
asir-36207	152	2	,	,	PUNCT
asir-36207	152	3	for	for	ADP
asir-36207	152	4	civ(k	civ(k	NOUN
asir-36207	152	5	)	)	PUNCT
asir-36207	152	6	all	all	DET
asir-36207	152	7	the	the	DET
asir-36207	152	8	results	result	NOUN
asir-36207	152	9	are	be	AUX
asir-36207	152	10	0	0	NUM
asir-36207	152	11	,	,	PUNCT
asir-36207	152	12	which	which	PRON
asir-36207	152	13	implies	imply	VERB
asir-36207	152	14	that	that	SCONJ
asir-36207	152	15	for	for	ADP
asir-36207	152	16	all	all	DET
asir-36207	152	17	the	the	DET
asir-36207	152	18	strikes	strike	NOUN
asir-36207	152	19	the	the	DET
asir-36207	152	20	civ(k	civ(k	NOUN
asir-36207	152	21	)	)	PUNCT
asir-36207	152	22	and	and	CCONJ
asir-36207	152	23	cmar(k	cmar(k	NOUN
asir-36207	152	24	)	)	PUNCT
asir-36207	152	25	come	come	VERB
asir-36207	152	26	from	from	ADP
asir-36207	152	27	the	the	DET
asir-36207	152	28	same	same	ADJ
asir-36207	152	29	random	random	ADJ
asir-36207	152	30	distribution	distribution	NOUN
asir-36207	152	31	.	.	PUNCT
asir-36207	153	1	this	this	PRON
asir-36207	153	2	confirms	confirm	VERB
asir-36207	153	3	a	a	DET
asir-36207	153	4	good	good	ADJ
asir-36207	153	5	coincidence	coincidence	NOUN
asir-36207	153	6	of	of	ADP
asir-36207	153	7	the	the	DET
asir-36207	153	8	predicted	predict	VERB
asir-36207	153	9	prices	price	NOUN
asir-36207	153	10	and	and	CCONJ
asir-36207	153	11	the	the	DET
asir-36207	153	12	real	real	ADJ
asir-36207	153	13	prices	price	NOUN
asir-36207	153	14	in	in	ADP
asir-36207	153	15	figure	figure	NOUN
asir-36207	153	16	4	4	NUM
asir-36207	153	17	on	on	ADP
asir-36207	153	18	the	the	DET
asir-36207	153	19	right	right	NOUN
asir-36207	153	20	.	.	PUNCT
asir-36207	154	1	second	second	ADJ
asir-36207	154	2	,	,	PUNCT
asir-36207	154	3	for	for	ADP
asir-36207	154	4	chv(k	chv(k	NOUN
asir-36207	154	5	)	)	PUNCT
asir-36207	154	6	(	(	PUNCT
asir-36207	154	7	i.e.	i.e.	X
asir-36207	154	8	,	,	PUNCT
asir-36207	154	9	the	the	DET
asir-36207	154	10	option	option	NOUN
asir-36207	154	11	price	price	NOUN
asir-36207	154	12	predicted	predict	VERB
asir-36207	154	13	by	by	ADP
asir-36207	154	14	using	use	VERB
asir-36207	154	15	the	the	DET
asir-36207	154	16	www.scholink.org/ojs/index.php/asir	www.scholink.org/ojs/index.php/asir	NOUN
asir-36207	154	17	applied	apply	VERB
asir-36207	154	18	science	science	NOUN
asir-36207	154	19	and	and	CCONJ
asir-36207	154	20	innovative	innovative	ADJ
asir-36207	154	21	research	research	NOUN
asir-36207	154	22	vol	vol	NOUN
asir-36207	154	23	.	.	PROPN
asir-36207	155	1	8	8	NUM
asir-36207	155	2	,	,	PUNCT
asir-36207	155	3	no	no	INTJ
asir-36207	155	4	.	.	NOUN
asir-36207	155	5	1	1	NUM
asir-36207	155	6	,	,	PUNCT
asir-36207	155	7	2024	2024	NUM
asir-36207	155	8	195	195	NUM
asir-36207	155	9	published	publish	VERB
asir-36207	155	10	by	by	ADP
asir-36207	155	11	scholink	scholink	PROPN
asir-36207	155	12	inc	inc	PROPN
asir-36207	155	13	.	.	PROPN
asir-36207	155	14	historical	historical	ADJ
asir-36207	155	15	volatility	volatility	NOUN
asir-36207	155	16	)	)	PUNCT
asir-36207	155	17	the	the	DET
asir-36207	155	18	results	result	NOUN
asir-36207	155	19	are	be	AUX
asir-36207	155	20	1	1	NUM
asir-36207	155	21	for	for	ADP
asir-36207	155	22	low	low	ADJ
asir-36207	155	23	and	and	CCONJ
asir-36207	155	24	high	high	ADJ
asir-36207	155	25	strikes	strike	NOUN
asir-36207	155	26	and	and	CCONJ
asir-36207	155	27	are	be	AUX
asir-36207	155	28	0	0	NUM
asir-36207	155	29	for	for	ADP
asir-36207	155	30	the	the	DET
asir-36207	155	31	middle	middle	ADJ
asir-36207	155	32	strikes	strike	NOUN
asir-36207	155	33	,	,	PUNCT
asir-36207	155	34	which	which	PRON
asir-36207	155	35	implies	imply	VERB
asir-36207	155	36	that	that	SCONJ
asir-36207	155	37	for	for	ADP
asir-36207	155	38	the	the	DET
asir-36207	155	39	low	low	ADJ
asir-36207	155	40	and	and	CCONJ
asir-36207	155	41	high	high	ADJ
asir-36207	155	42	strikes	strike	NOUN
asir-36207	155	43	chv(k	chv(k	NOUN
asir-36207	155	44	)	)	PUNCT
asir-36207	155	45	and	and	CCONJ
asir-36207	155	46	cmar(k	cmar(k	NOUN
asir-36207	155	47	)	)	PUNCT
asir-36207	155	48	come	come	VERB
asir-36207	155	49	from	from	ADP
asir-36207	155	50	different	different	ADJ
asir-36207	155	51	random	random	ADJ
asir-36207	155	52	distributions	distribution	NOUN
asir-36207	155	53	,	,	PUNCT
asir-36207	155	54	while	while	SCONJ
asir-36207	155	55	they	they	PRON
asir-36207	155	56	come	come	VERB
asir-36207	155	57	from	from	ADP
asir-36207	155	58	the	the	DET
asir-36207	155	59	same	same	ADJ
asir-36207	155	60	distribution	distribution	NOUN
asir-36207	155	61	for	for	ADP
asir-36207	155	62	the	the	DET
asir-36207	155	63	middle	middle	ADJ
asir-36207	155	64	strikes	strike	NOUN
asir-36207	155	65	.	.	PUNCT
asir-36207	156	1	again	again	ADV
asir-36207	156	2	,	,	PUNCT
asir-36207	156	3	this	this	PRON
asir-36207	156	4	confirms	confirm	VERB
asir-36207	156	5	the	the	DET
asir-36207	156	6	results	result	NOUN
asir-36207	156	7	in	in	ADP
asir-36207	156	8	figure	figure	NOUN
asir-36207	156	9	5	5	NUM
asir-36207	156	10	on	on	ADP
asir-36207	156	11	the	the	DET
asir-36207	156	12	right	right	NOUN
asir-36207	156	13	:	:	PUNCT
asir-36207	156	14	for	for	ADP
asir-36207	156	15	the	the	DET
asir-36207	156	16	minimal	minimal	ADJ
asir-36207	156	17	and	and	CCONJ
asir-36207	156	18	maximal	maximal	ADJ
asir-36207	156	19	strikes	strike	NOUN
asir-36207	156	20	the	the	DET
asir-36207	156	21	difference	difference	NOUN
asir-36207	156	22	between	between	ADP
asir-36207	156	23	the	the	DET
asir-36207	156	24	predicted	predict	VERB
asir-36207	156	25	prices	price	NOUN
asir-36207	156	26	and	and	CCONJ
asir-36207	156	27	the	the	DET
asir-36207	156	28	real	real	ADJ
asir-36207	156	29	prices	price	NOUN
asir-36207	156	30	is	be	AUX
asir-36207	156	31	considerable	considerable	ADJ
asir-36207	156	32	,	,	PUNCT
asir-36207	156	33	while	while	SCONJ
asir-36207	156	34	the	the	DET
asir-36207	156	35	difference	difference	NOUN
asir-36207	156	36	is	be	AUX
asir-36207	156	37	relatively	relatively	ADV
asir-36207	156	38	small	small	ADJ
asir-36207	156	39	for	for	ADP
asir-36207	156	40	the	the	DET
asir-36207	156	41	middle	middle	PROPN
asir-36207	156	42	strike	strike	PROPN
asir-36207	156	43	k=2475	k=2475	PROPN
asir-36207	156	44	.	.	PROPN
asir-36207	156	45	table	table	NOUN
asir-36207	157	1	2	2	NUM
asir-36207	157	2	.	.	PUNCT
asir-36207	158	1	the	the	DET
asir-36207	158	2	results	result	NOUN
asir-36207	158	3	for	for	ADP
asir-36207	158	4	two	two	NUM
asir-36207	158	5	-	-	PUNCT
asir-36207	158	6	sample	sample	NOUN
asir-36207	158	7	t	t	NOUN
asir-36207	158	8	-	-	PUNCT
asir-36207	158	9	test	test	NOUN
asir-36207	158	10	for	for	ADP
asir-36207	158	11	civ(k	civ(k	NOUN
asir-36207	158	12	)	)	PUNCT
asir-36207	158	13	and	and	CCONJ
asir-36207	158	14	chv(k	chv(k	NOUN
asir-36207	158	15	)	)	PUNCT
asir-36207	158	16	strike	strike	NOUN
asir-36207	158	17	civ(k	civ(k	PROPN
asir-36207	158	18	)	)	PUNCT
asir-36207	158	19	and	and	CCONJ
asir-36207	158	20	cmar(k	cmar(k	ADJ
asir-36207	158	21	)	)	PUNCT
asir-36207	158	22	explanation	explanation	NOUN
asir-36207	158	23	chv(k	chv(k	NOUN
asir-36207	158	24	)	)	PUNCT
asir-36207	158	25	and	and	CCONJ
asir-36207	158	26	cmar(k	cmar(k	ADJ
asir-36207	158	27	)	)	PUNCT
asir-36207	158	28	explanation	explanation	NOUN
asir-36207	158	29	2225	2225	NUM
asir-36207	158	30	0	0	NUM
asir-36207	159	1	non	non	ADJ
asir-36207	159	2	-	-	ADJ
asir-36207	159	3	significant	significant	ADJ
asir-36207	159	4	1	1	NUM
asir-36207	159	5	significant	significant	ADJ
asir-36207	159	6	2250	2250	NUM
asir-36207	159	7	0	0	NUM
asir-36207	159	8	non	non	ADJ
asir-36207	159	9	-	-	ADJ
asir-36207	159	10	significant	significant	ADJ
asir-36207	159	11	1	1	NUM
asir-36207	159	12	significant	significant	ADJ
asir-36207	159	13	2275	2275	NUM
asir-36207	159	14	0	0	NUM
asir-36207	159	15	non	non	ADJ
asir-36207	159	16	-	-	ADJ
asir-36207	159	17	significant	significant	ADJ
asir-36207	159	18	0	0	NUM
asir-36207	159	19	non	non	ADJ
asir-36207	159	20	-	-	ADJ
asir-36207	159	21	significant	significant	ADJ
asir-36207	159	22	2300	2300	NUM
asir-36207	159	23	0	0	NUM
asir-36207	159	24	non	non	ADJ
asir-36207	159	25	-	-	ADJ
asir-36207	159	26	significant	significant	ADJ
asir-36207	159	27	0	0	NUM
asir-36207	159	28	non	non	ADJ
asir-36207	159	29	-	-	ADJ
asir-36207	159	30	significant	significant	ADJ
asir-36207	159	31	2325	2325	NUM
asir-36207	159	32	0	0	NUM
asir-36207	159	33	non	non	ADJ
asir-36207	159	34	-	-	ADJ
asir-36207	159	35	significant	significant	ADJ
asir-36207	159	36	0	0	NUM
asir-36207	159	37	non	non	ADJ
asir-36207	159	38	-	-	ADJ
asir-36207	159	39	significant	significant	ADJ
asir-36207	159	40	2350	2350	NUM
asir-36207	159	41	0	0	NUM
asir-36207	159	42	non	non	ADJ
asir-36207	159	43	-	-	ADJ
asir-36207	159	44	significant	significant	ADJ
asir-36207	159	45	0	0	NUM
asir-36207	159	46	non	non	ADJ
asir-36207	159	47	-	-	ADJ
asir-36207	159	48	significant	significant	ADJ
asir-36207	159	49	2375	2375	NUM
asir-36207	159	50	0	0	NUM
asir-36207	159	51	non	non	ADJ
asir-36207	159	52	-	-	ADJ
asir-36207	159	53	significant	significant	ADJ
asir-36207	159	54	0	0	NUM
asir-36207	159	55	non	non	ADJ
asir-36207	159	56	-	-	ADJ
asir-36207	159	57	significant	significant	ADJ
asir-36207	159	58	2400	2400	NUM
asir-36207	159	59	0	0	NUM
asir-36207	159	60	non	non	ADJ
asir-36207	159	61	-	-	ADJ
asir-36207	159	62	significant	significant	ADJ
asir-36207	159	63	0	0	NUM
asir-36207	159	64	non	non	ADJ
asir-36207	159	65	-	-	ADJ
asir-36207	159	66	significant	significant	ADJ
asir-36207	159	67	2425	2425	NUM
asir-36207	159	68	0	0	NUM
asir-36207	159	69	non	non	ADJ
asir-36207	159	70	-	-	ADJ
asir-36207	159	71	significant	significant	ADJ
asir-36207	159	72	0	0	NUM
asir-36207	159	73	non	non	ADJ
asir-36207	159	74	-	-	ADJ
asir-36207	159	75	significant	significant	ADJ
asir-36207	159	76	2450	2450	NUM
asir-36207	159	77	0	0	NUM
asir-36207	159	78	non	non	ADJ
asir-36207	159	79	-	-	ADJ
asir-36207	159	80	significant	significant	ADJ
asir-36207	159	81	0	0	NUM
asir-36207	159	82	non	non	ADJ
asir-36207	159	83	-	-	ADJ
asir-36207	159	84	significant	significant	ADJ
asir-36207	159	85	2475	2475	NUM
asir-36207	159	86	0	0	NUM
asir-36207	159	87	non	non	ADJ
asir-36207	159	88	-	-	ADJ
asir-36207	159	89	significant	significant	ADJ
asir-36207	159	90	0	0	NUM
asir-36207	159	91	non	non	ADJ
asir-36207	159	92	-	-	ADJ
asir-36207	159	93	significant	significant	ADJ
asir-36207	159	94	2500	2500	NUM
asir-36207	159	95	0	0	NUM
asir-36207	159	96	non	non	ADJ
asir-36207	159	97	-	-	ADJ
asir-36207	159	98	significant	significant	ADJ
asir-36207	159	99	0	0	NUM
asir-36207	159	100	non	non	ADJ
asir-36207	159	101	-	-	ADJ
asir-36207	159	102	significant	significant	ADJ
asir-36207	159	103	2550	2550	NUM
asir-36207	159	104	0	0	NUM
asir-36207	159	105	non	non	ADJ
asir-36207	159	106	-	-	ADJ
asir-36207	159	107	significant	significant	ADJ
asir-36207	159	108	0	0	NUM
asir-36207	159	109	non	non	ADJ
asir-36207	159	110	-	-	ADJ
asir-36207	159	111	significant	significant	ADJ
asir-36207	159	112	2600	2600	NUM
asir-36207	159	113	0	0	NUM
asir-36207	159	114	non	non	ADJ
asir-36207	159	115	-	-	ADJ
asir-36207	159	116	significant	significant	ADJ
asir-36207	159	117	0	0	NUM
asir-36207	159	118	non	non	ADJ
asir-36207	159	119	-	-	ADJ
asir-36207	159	120	significant	significant	ADJ
asir-36207	159	121	2650	2650	NUM
asir-36207	159	122	0	0	NUM
asir-36207	159	123	non	non	ADJ
asir-36207	159	124	-	-	ADJ
asir-36207	159	125	significant	significant	ADJ
asir-36207	159	126	1	1	NUM
asir-36207	159	127	significant	significant	ADJ
asir-36207	159	128	2700	2700	NUM
asir-36207	159	129	0	0	NUM
asir-36207	159	130	non	non	ADJ
asir-36207	159	131	-	-	ADJ
asir-36207	159	132	significant	significant	ADJ
asir-36207	159	133	1	1	NUM
asir-36207	159	134	significant	significant	ADJ
asir-36207	159	135	2750	2750	NUM
asir-36207	159	136	0	0	NUM
asir-36207	159	137	non	non	ADJ
asir-36207	159	138	-	-	ADJ
asir-36207	159	139	significant	significant	ADJ
asir-36207	159	140	1	1	NUM
asir-36207	159	141	significant	significant	ADJ
asir-36207	159	142	2800	2800	NUM
asir-36207	159	143	0	0	NUM
asir-36207	159	144	non	non	ADJ
asir-36207	159	145	-	-	ADJ
asir-36207	159	146	significant	significant	ADJ
asir-36207	159	147	1	1	NUM
asir-36207	159	148	significant	significant	ADJ
asir-36207	159	149	2850	2850	NUM
asir-36207	159	150	0	0	NUM
asir-36207	159	151	non	non	ADJ
asir-36207	159	152	-	-	ADJ
asir-36207	159	153	significant	significant	ADJ
asir-36207	159	154	1	1	NUM
asir-36207	159	155	significant	significant	ADJ
asir-36207	159	156	2900	2900	NUM
asir-36207	159	157	0	0	NUM
asir-36207	159	158	non	non	ADJ
asir-36207	159	159	-	-	ADJ
asir-36207	159	160	significant	significant	ADJ
asir-36207	159	161	1	1	NUM
asir-36207	159	162	significant	significant	ADJ
asir-36207	159	163	2950	2950	NUM
asir-36207	159	164	0	0	NUM
asir-36207	159	165	non	non	ADJ
asir-36207	159	166	-	-	ADJ
asir-36207	159	167	significant	significant	ADJ
asir-36207	159	168	1	1	NUM
asir-36207	159	169	significant	significant	ADJ
asir-36207	159	170	6	6	NUM
asir-36207	159	171	.	.	PUNCT
asir-36207	159	172	conclusion	conclusion	NOUN
asir-36207	159	173	and	and	CCONJ
asir-36207	159	174	further	far	ADV
asir-36207	159	175	work	work	VERB
asir-36207	159	176	the	the	DET
asir-36207	159	177	premium	premium	NOUN
asir-36207	159	178	of	of	ADP
asir-36207	159	179	an	an	DET
asir-36207	159	180	option	option	NOUN
asir-36207	159	181	,	,	PUNCT
asir-36207	159	182	which	which	PRON
asir-36207	159	183	is	be	AUX
asir-36207	159	184	the	the	DET
asir-36207	159	185	price	price	NOUN
asir-36207	159	186	for	for	ADP
asir-36207	159	187	buying	buying	NOUN
asir-36207	159	188	or	or	CCONJ
asir-36207	159	189	selling	sell	VERB
asir-36207	159	190	it	it	PRON
asir-36207	159	191	,	,	PUNCT
asir-36207	159	192	is	be	AUX
asir-36207	159	193	crucial	crucial	ADJ
asir-36207	159	194	to	to	PART
asir-36207	159	195	understand	understand	VERB
asir-36207	159	196	when	when	SCONJ
asir-36207	159	197	trading	trading	NOUN
asir-36207	159	198	options	option	NOUN
asir-36207	159	199	.	.	PUNCT
asir-36207	160	1	it	it	PRON
asir-36207	160	2	depends	depend	VERB
asir-36207	160	3	on	on	ADP
asir-36207	160	4	the	the	DET
asir-36207	160	5	probability	probability	NOUN
asir-36207	160	6	of	of	ADP
asir-36207	160	7	making	make	VERB
asir-36207	160	8	a	a	DET
asir-36207	160	9	profit	profit	NOUN
asir-36207	160	10	from	from	ADP
asir-36207	160	11	buying	buy	VERB
asir-36207	160	12	or	or	CCONJ
asir-36207	160	13	selling	sell	VERB
asir-36207	160	14	a	a	DET
asir-36207	160	15	stock	stock	NOUN
asir-36207	160	16	at	at	ADP
asir-36207	160	17	expiration	expiration	NOUN
asir-36207	160	18	.	.	PUNCT
asir-36207	161	1	buyers	buyer	NOUN
asir-36207	161	2	pay	pay	VERB
asir-36207	161	3	the	the	DET
asir-36207	161	4	premium	premium	NOUN
asir-36207	161	5	while	while	SCONJ
asir-36207	161	6	sellers	seller	NOUN
asir-36207	161	7	receive	receive	VERB
asir-36207	161	8	it	it	PRON
asir-36207	161	9	.	.	PUNCT
asir-36207	162	1	an	an	DET
asir-36207	162	2	option	option	NOUN
asir-36207	162	3	gives	give	VERB
asir-36207	162	4	the	the	DET
asir-36207	162	5	holder	holder	NOUN
asir-36207	162	6	the	the	DET
asir-36207	162	7	right	right	NOUN
asir-36207	162	8	to	to	PART
asir-36207	162	9	buy	buy	VERB
asir-36207	162	10	or	or	CCONJ
asir-36207	162	11	sell	sell	VERB
asir-36207	162	12	a	a	DET
asir-36207	162	13	specific	specific	ADJ
asir-36207	162	14	amount	amount	NOUN
asir-36207	162	15	of	of	ADP
asir-36207	162	16	an	an	DET
asir-36207	162	17	underlying	underlie	VERB
asir-36207	162	18	asset	asset	NOUN
asir-36207	162	19	at	at	ADP
asir-36207	162	20	a	a	DET
asir-36207	162	21	fixed	fix	VERB
asir-36207	162	22	price	price	NOUN
asir-36207	162	23	before	before	ADP
asir-36207	162	24	its	its	PRON
asir-36207	162	25	expiration	expiration	NOUN
asir-36207	162	26	date	date	NOUN
asir-36207	162	27	.	.	PUNCT
asir-36207	163	1	since	since	SCONJ
asir-36207	163	2	it	it	PRON
asir-36207	163	3	's	be	AUX
asir-36207	163	4	a	a	DET
asir-36207	163	5	right	right	NOUN
asir-36207	163	6	and	and	CCONJ
asir-36207	163	7	not	not	PART
asir-36207	163	8	an	an	DET
asir-36207	163	9	obligation	obligation	NOUN
asir-36207	163	10	,	,	PUNCT
asir-36207	163	11	the	the	DET
asir-36207	163	12	holder	holder	NOUN
asir-36207	163	13	can	can	AUX
asir-36207	163	14	choose	choose	VERB
asir-36207	163	15	not	not	PART
asir-36207	163	16	to	to	PART
asir-36207	163	17	exercise	exercise	VERB
asir-36207	163	18	it	it	PRON
asir-36207	163	19	and	and	CCONJ
asir-36207	163	20	let	let	VERB
asir-36207	163	21	the	the	DET
asir-36207	163	22	option	option	NOUN
asir-36207	163	23	expire	expire	VERB
asir-36207	163	24	.	.	PUNCT
asir-36207	164	1	www.scholink.org/ojs/index.php/asir	www.scholink.org/ojs/index.php/asir	NOUN
asir-36207	164	2	applied	apply	VERB
asir-36207	164	3	science	science	NOUN
asir-36207	164	4	and	and	CCONJ
asir-36207	164	5	innovative	innovative	ADJ
asir-36207	164	6	research	research	NOUN
asir-36207	164	7	vol	vol	NOUN
asir-36207	164	8	.	.	PROPN
asir-36207	165	1	8	8	NUM
asir-36207	165	2	,	,	PUNCT
asir-36207	165	3	no	no	INTJ
asir-36207	165	4	.	.	NOUN
asir-36207	165	5	1	1	NUM
asir-36207	165	6	,	,	PUNCT
asir-36207	165	7	2024	2024	NUM
asir-36207	165	8	196	196	NUM
asir-36207	165	9	published	publish	VERB
asir-36207	165	10	by	by	ADP
asir-36207	165	11	scholink	scholink	PROPN
asir-36207	165	12	inc	inc	PROPN
asir-36207	165	13	.	.	PUNCT
asir-36207	166	1	the	the	DET
asir-36207	166	2	price	price	NOUN
asir-36207	166	3	of	of	ADP
asir-36207	166	4	an	an	DET
asir-36207	166	5	option	option	NOUN
asir-36207	166	6	is	be	AUX
asir-36207	166	7	influenced	influence	VERB
asir-36207	166	8	by	by	ADP
asir-36207	166	9	factors	factor	NOUN
asir-36207	166	10	such	such	ADJ
asir-36207	166	11	as	as	ADP
asir-36207	166	12	the	the	DET
asir-36207	166	13	current	current	ADJ
asir-36207	166	14	stock	stock	NOUN
asir-36207	166	15	price	price	NOUN
asir-36207	166	16	,	,	PUNCT
asir-36207	166	17	intrinsic	intrinsic	ADJ
asir-36207	166	18	value	value	NOUN
asir-36207	166	19	,	,	PUNCT
asir-36207	166	20	time	time	NOUN
asir-36207	166	21	to	to	ADP
asir-36207	166	22	expiration	expiration	NOUN
asir-36207	166	23	(	(	PUNCT
asir-36207	166	24	or	or	CCONJ
asir-36207	166	25	time	time	NOUN
asir-36207	166	26	value	value	NOUN
asir-36207	166	27	)	)	PUNCT
asir-36207	166	28	,	,	PUNCT
asir-36207	166	29	volatility	volatility	NOUN
asir-36207	166	30	,	,	PUNCT
asir-36207	166	31	interest	interest	NOUN
asir-36207	166	32	rates	rate	NOUN
asir-36207	166	33	,	,	PUNCT
asir-36207	166	34	and	and	CCONJ
asir-36207	166	35	cash	cash	NOUN
asir-36207	166	36	dividends	dividend	NOUN
asir-36207	166	37	paid	pay	VERB
asir-36207	166	38	.	.	PUNCT
asir-36207	167	1	several	several	ADJ
asir-36207	167	2	option	option	NOUN
asir-36207	167	3	pricing	pricing	NOUN
asir-36207	167	4	models	model	NOUN
asir-36207	167	5	utilize	utilize	VERB
asir-36207	167	6	these	these	DET
asir-36207	167	7	parameters	parameter	NOUN
asir-36207	167	8	to	to	PART
asir-36207	167	9	determine	determine	VERB
asir-36207	167	10	the	the	DET
asir-36207	167	11	fair	fair	ADJ
asir-36207	167	12	market	market	NOUN
asir-36207	167	13	value	value	NOUN
asir-36207	167	14	of	of	ADP
asir-36207	167	15	an	an	DET
asir-36207	167	16	option	option	NOUN
asir-36207	167	17	.	.	PUNCT
asir-36207	168	1	among	among	ADP
asir-36207	168	2	them	they	PRON
asir-36207	168	3	,	,	PUNCT
asir-36207	168	4	the	the	DET
asir-36207	168	5	black	black	NOUN
asir-36207	168	6	-	-	PUNCT
asir-36207	168	7	scholes	schole	NOUN
asir-36207	168	8	(	(	PUNCT
asir-36207	168	9	bs	bs	NOUN
asir-36207	168	10	)	)	PUNCT
asir-36207	168	11	model	model	NOUN
asir-36207	168	12	is	be	AUX
asir-36207	168	13	widely	widely	ADV
asir-36207	168	14	recognized	recognize	VERB
asir-36207	168	15	.	.	PUNCT
asir-36207	169	1	options	option	NOUN
asir-36207	169	2	are	be	AUX
asir-36207	169	3	similar	similar	ADJ
asir-36207	169	4	to	to	ADP
asir-36207	169	5	other	other	ADJ
asir-36207	169	6	investments	investment	NOUN
asir-36207	169	7	in	in	SCONJ
asir-36207	169	8	that	that	SCONJ
asir-36207	169	9	we	we	PRON
asir-36207	169	10	need	need	VERB
asir-36207	169	11	to	to	PART
asir-36207	169	12	understand	understand	VERB
asir-36207	169	13	what	what	PRON
asir-36207	169	14	determines	determine	VERB
asir-36207	169	15	their	their	PRON
asir-36207	169	16	price	price	NOUN
asir-36207	169	17	and	and	CCONJ
asir-36207	169	18	use	use	VERB
asir-36207	169	19	them	they	PRON
asir-36207	169	20	effectively	effectively	ADV
asir-36207	169	21	.	.	PUNCT
asir-36207	170	1	in	in	ADP
asir-36207	170	2	this	this	DET
asir-36207	170	3	study	study	NOUN
asir-36207	170	4	,	,	PUNCT
asir-36207	170	5	we	we	PRON
asir-36207	170	6	examine	examine	VERB
asir-36207	170	7	the	the	DET
asir-36207	170	8	bs	bs	PROPN
asir-36207	170	9	model	model	NOUN
asir-36207	170	10	's	's	PART
asir-36207	170	11	application	application	NOUN
asir-36207	170	12	in	in	ADP
asir-36207	170	13	pricing	price	VERB
asir-36207	170	14	european	european	ADJ
asir-36207	170	15	options	option	NOUN
asir-36207	170	16	and	and	CCONJ
asir-36207	170	17	demonstrate	demonstrate	VERB
asir-36207	170	18	that	that	SCONJ
asir-36207	170	19	it	it	PRON
asir-36207	170	20	can	can	AUX
asir-36207	170	21	help	help	VERB
asir-36207	170	22	investors	investor	NOUN
asir-36207	170	23	anticipate	anticipate	VERB
asir-36207	170	24	overpricing	overprice	VERB
asir-36207	170	25	and	and	CCONJ
asir-36207	170	26	underpricing	underprice	VERB
asir-36207	170	27	if	if	SCONJ
asir-36207	170	28	all	all	DET
asir-36207	170	29	model	model	NOUN
asir-36207	170	30	constraints	constraint	NOUN
asir-36207	170	31	are	be	AUX
asir-36207	170	32	thoroughly	thoroughly	ADV
asir-36207	170	33	considered	consider	VERB
asir-36207	170	34	.	.	PUNCT
asir-36207	171	1	our	our	PRON
asir-36207	171	2	findings	finding	NOUN
asir-36207	171	3	indicate	indicate	VERB
asir-36207	171	4	that	that	SCONJ
asir-36207	171	5	as	as	ADV
asir-36207	171	6	long	long	ADV
asir-36207	171	7	as	as	SCONJ
asir-36207	171	8	the	the	DET
asir-36207	171	9	volatility	volatility	NOUN
asir-36207	171	10	parameter	parameter	NOUN
asir-36207	171	11	is	be	AUX
asir-36207	171	12	reasonably	reasonably	ADV
asir-36207	171	13	computed	compute	VERB
asir-36207	171	14	,	,	PUNCT
asir-36207	171	15	the	the	DET
asir-36207	171	16	bs	bs	PROPN
asir-36207	171	17	model	model	NOUN
asir-36207	171	18	provides	provide	VERB
asir-36207	171	19	acceptable	acceptable	ADJ
asir-36207	171	20	predictions	prediction	NOUN
asir-36207	171	21	of	of	ADP
asir-36207	171	22	real	real	ADJ
asir-36207	171	23	option	option	NOUN
asir-36207	171	24	prices	price	NOUN
asir-36207	171	25	based	base	VERB
asir-36207	171	26	on	on	ADP
asir-36207	171	27	market	market	NOUN
asir-36207	171	28	observations	observation	NOUN
asir-36207	171	29	.	.	PUNCT
asir-36207	172	1	additionally	additionally	ADV
asir-36207	172	2	,	,	PUNCT
asir-36207	172	3	our	our	PRON
asir-36207	172	4	research	research	NOUN
asir-36207	172	5	reveals	reveal	VERB
asir-36207	172	6	that	that	SCONJ
asir-36207	172	7	the	the	DET
asir-36207	172	8	price	price	NOUN
asir-36207	172	9	difference	difference	NOUN
asir-36207	172	10	between	between	ADP
asir-36207	172	11	observed	observe	VERB
asir-36207	172	12	and	and	CCONJ
asir-36207	172	13	predicted	predict	VERB
asir-36207	172	14	values	value	NOUN
asir-36207	172	15	increases	increase	NOUN
asir-36207	172	16	when	when	SCONJ
asir-36207	172	17	stock	stock	NOUN
asir-36207	172	18	movements	movement	NOUN
asir-36207	172	19	deviate	deviate	VERB
asir-36207	172	20	from	from	ADP
asir-36207	172	21	investor	investor	NOUN
asir-36207	172	22	expectations	expectation	NOUN
asir-36207	172	23	and	and	CCONJ
asir-36207	172	24	volatility	volatility	NOUN
asir-36207	172	25	rises	rise	NOUN
asir-36207	172	26	.	.	PUNCT
asir-36207	173	1	this	this	PRON
asir-36207	173	2	aligns	align	VERB
asir-36207	173	3	with	with	ADP
asir-36207	173	4	a	a	DET
asir-36207	173	5	similar	similar	ADJ
asir-36207	173	6	outcome	outcome	NOUN
asir-36207	173	7	reported	report	VERB
asir-36207	173	8	in	in	ADP
asir-36207	173	9	ali	ali	PROPN
asir-36207	173	10	and	and	CCONJ
asir-36207	173	11	naima	naima	PROPN
asir-36207	173	12	(	(	PUNCT
asir-36207	173	13	2019	2019	NUM
asir-36207	173	14	)	)	PUNCT
asir-36207	173	15	,	,	PUNCT
asir-36207	173	16	where	where	SCONJ
asir-36207	173	17	authors	author	NOUN
asir-36207	173	18	compared	compare	VERB
asir-36207	173	19	call	call	NOUN
asir-36207	173	20	prices	price	NOUN
asir-36207	173	21	using	use	VERB
asir-36207	173	22	different	different	ADJ
asir-36207	173	23	volatility	volatility	NOUN
asir-36207	173	24	estimations	estimation	NOUN
asir-36207	173	25	to	to	PART
asir-36207	173	26	assess	assess	VERB
asir-36207	173	27	pricing	pricing	NOUN
asir-36207	173	28	model	model	NOUN
asir-36207	173	29	efficiency	efficiency	NOUN
asir-36207	173	30	.	.	PUNCT
asir-36207	174	1	to	to	PART
asir-36207	174	2	price	price	VERB
asir-36207	174	3	an	an	DET
asir-36207	174	4	option	option	NOUN
asir-36207	174	5	using	use	VERB
asir-36207	174	6	the	the	DET
asir-36207	174	7	bs	bs	PROPN
asir-36207	174	8	model	model	NOUN
asir-36207	174	9	,	,	PUNCT
asir-36207	174	10	we	we	PRON
asir-36207	174	11	calculate	calculate	VERB
asir-36207	174	12	volatility	volatility	NOUN
asir-36207	174	13	through	through	ADP
asir-36207	174	14	two	two	NUM
asir-36207	174	15	methods	method	NOUN
asir-36207	174	16	.	.	PUNCT
asir-36207	175	1	the	the	DET
asir-36207	175	2	first	first	ADJ
asir-36207	175	3	method	method	NOUN
asir-36207	175	4	involves	involve	VERB
asir-36207	175	5	solving	solve	VERB
asir-36207	175	6	the	the	DET
asir-36207	175	7	bs	bs	NOUN
asir-36207	175	8	equation	equation	NOUN
asir-36207	175	9	for	for	ADP
asir-36207	175	10	the	the	DET
asir-36207	175	11	implied	imply	VERB
asir-36207	175	12	volatility	volatility	NOUN
asir-36207	175	13	parameter	parameter	NOUN
asir-36207	175	14	using	use	VERB
asir-36207	175	15	observed	observed	ADJ
asir-36207	175	16	market	market	NOUN
asir-36207	175	17	data	datum	NOUN
asir-36207	175	18	such	such	ADJ
asir-36207	175	19	as	as	ADP
asir-36207	175	20	stock	stock	NOUN
asir-36207	175	21	price	price	NOUN
asir-36207	175	22	,	,	PUNCT
asir-36207	175	23	strike	strike	NOUN
asir-36207	175	24	,	,	PUNCT
asir-36207	175	25	expiration	expiration	NOUN
asir-36207	175	26	time	time	NOUN
asir-36207	175	27	,	,	PUNCT
asir-36207	175	28	and	and	CCONJ
asir-36207	175	29	risk	risk	NOUN
asir-36207	175	30	-	-	PUNCT
asir-36207	175	31	free	free	ADJ
asir-36207	175	32	interest	interest	NOUN
asir-36207	175	33	rate	rate	NOUN
asir-36207	175	34	.	.	PUNCT
asir-36207	176	1	this	this	PRON
asir-36207	176	2	is	be	AUX
asir-36207	176	3	achieved	achieve	VERB
asir-36207	176	4	by	by	ADP
asir-36207	176	5	employing	employ	VERB
asir-36207	176	6	a	a	DET
asir-36207	176	7	generalized	generalized	ADJ
asir-36207	176	8	fixed	fix	VERB
asir-36207	176	9	-	-	PUNCT
asir-36207	176	10	point	point	NOUN
asir-36207	176	11	algorithm	algorithm	NOUN
asir-36207	176	12	with	with	ADP
asir-36207	176	13	a	a	DET
asir-36207	176	14	novel	novel	ADJ
asir-36207	176	15	choice	choice	NOUN
asir-36207	176	16	of	of	ADP
asir-36207	176	17	parameters	parameter	NOUN
asir-36207	176	18	and	and	CCONJ
asir-36207	176	19	initial	initial	ADJ
asir-36207	176	20	guess	guess	NOUN
asir-36207	176	21	.	.	PUNCT
asir-36207	177	1	numerical	numerical	ADJ
asir-36207	177	2	experiments	experiment	NOUN
asir-36207	177	3	in	in	ADP
asir-36207	177	4	section	section	NOUN
asir-36207	177	5	5	5	NUM
asir-36207	177	6	demonstrate	demonstrate	VERB
asir-36207	177	7	rapid	rapid	ADJ
asir-36207	177	8	convergence	convergence	NOUN
asir-36207	177	9	of	of	ADP
asir-36207	177	10	this	this	DET
asir-36207	177	11	proposed	propose	VERB
asir-36207	177	12	algorithm	algorithm	NOUN
asir-36207	177	13	for	for	ADP
asir-36207	177	14	all	all	DET
asir-36207	177	15	collected	collect	VERB
asir-36207	177	16	data	datum	NOUN
asir-36207	177	17	.	.	PUNCT
asir-36207	178	1	the	the	DET
asir-36207	178	2	second	second	ADJ
asir-36207	178	3	method	method	NOUN
asir-36207	178	4	entails	entail	VERB
asir-36207	178	5	calculating	calculate	VERB
asir-36207	178	6	historical	historical	ADJ
asir-36207	178	7	volatility	volatility	NOUN
asir-36207	178	8	by	by	ADP
asir-36207	178	9	utilizing	utilize	VERB
asir-36207	178	10	market	market	NOUN
asir-36207	178	11	's	's	PART
asir-36207	178	12	historical	historical	ADJ
asir-36207	178	13	option	option	NOUN
asir-36207	178	14	prices	price	NOUN
asir-36207	178	15	.	.	PUNCT
asir-36207	179	1	we	we	PRON
asir-36207	179	2	compare	compare	VERB
asir-36207	179	3	the	the	DET
asir-36207	179	4	two	two	NUM
asir-36207	179	5	volatility	volatility	NOUN
asir-36207	179	6	parameters	parameter	NOUN
asir-36207	179	7	,	,	PUNCT
asir-36207	179	8	σiv	σiv	ADV
asir-36207	179	9	and	and	CCONJ
asir-36207	179	10	σhv	σhv	NOUN
asir-36207	179	11	,	,	PUNCT
asir-36207	179	12	we	we	PRON
asir-36207	179	13	collected	collect	VERB
asir-36207	179	14	the	the	DET
asir-36207	179	15	real	real	ADJ
asir-36207	179	16	market	market	NOUN
asir-36207	179	17	data	datum	NOUN
asir-36207	179	18	for	for	ADP
asir-36207	179	19	an	an	DET
asir-36207	179	20	option	option	NOUN
asir-36207	179	21	of	of	ADP
asir-36207	179	22	50etf	50etf	NOUN
asir-36207	179	23	with	with	ADP
asir-36207	179	24	number	number	NOUN
asir-36207	179	25	ho2308	ho2308	PROPN
asir-36207	179	26	-	-	PUNCT
asir-36207	179	27	c	c	PROPN
asir-36207	179	28	from	from	ADP
asir-36207	179	29	the	the	DET
asir-36207	179	30	website	website	NOUN
asir-36207	179	31	of	of	ADP
asir-36207	179	32	china	china	PROPN
asir-36207	179	33	financial	financial	PROPN
asir-36207	179	34	futures	futures	PROPN
asir-36207	179	35	exchange	exchange	NOUN
asir-36207	179	36	(	(	PUNCT
asir-36207	179	37	cffe	cffe	ADJ
asir-36207	179	38	)	)	PUNCT
asir-36207	179	39	(	(	PUNCT
asir-36207	179	40	http://www.cffex.com.cn	http://www.cffex.com.cn	X
asir-36207	179	41	)	)	PUNCT
asir-36207	179	42	.	.	PUNCT
asir-36207	180	1	ho2308	ho2308	PROPN
asir-36207	180	2	-	-	PUNCT
asir-36207	180	3	c	c	PROPN
asir-36207	180	4	is	be	AUX
asir-36207	180	5	a	a	DET
asir-36207	180	6	call	call	NOUN
asir-36207	180	7	option	option	NOUN
asir-36207	180	8	started	start	VERB
asir-36207	180	9	from	from	ADP
asir-36207	180	10	june	june	PROPN
asir-36207	180	11	19	19	NUM
asir-36207	180	12	in	in	ADP
asir-36207	180	13	2023	2023	NUM
asir-36207	180	14	,	,	PUNCT
asir-36207	180	15	and	and	CCONJ
asir-36207	180	16	the	the	DET
asir-36207	180	17	expiration	expiration	NOUN
asir-36207	180	18	date	date	NOUN
asir-36207	180	19	is	be	AUX
asir-36207	180	20	august	august	PROPN
asir-36207	180	21	18	18	NUM
asir-36207	180	22	in	in	ADP
asir-36207	180	23	2023	2023	NUM
asir-36207	180	24	.	.	PUNCT
asir-36207	181	1	it	it	PRON
asir-36207	181	2	turns	turn	VERB
asir-36207	181	3	out	out	ADP
asir-36207	181	4	that	that	SCONJ
asir-36207	181	5	the	the	DET
asir-36207	181	6	volatility	volatility	NOUN
asir-36207	181	7	σiv	σiv	ADV
asir-36207	181	8	computed	compute	VERB
asir-36207	181	9	by	by	ADP
asir-36207	181	10	solving	solve	VERB
asir-36207	181	11	the	the	DET
asir-36207	181	12	bs	bs	NOUN
asir-36207	181	13	equation	equation	NOUN
asir-36207	181	14	provides	provide	VERB
asir-36207	181	15	much	much	ADV
asir-36207	181	16	better	well	ADJ
asir-36207	181	17	precision	precision	NOUN
asir-36207	181	18	for	for	ADP
asir-36207	181	19	the	the	DET
asir-36207	181	20	real	real	ADJ
asir-36207	181	21	option	option	NOUN
asir-36207	181	22	price	price	NOUN
asir-36207	181	23	than	than	ADP
asir-36207	181	24	the	the	DET
asir-36207	181	25	historical	historical	ADJ
asir-36207	181	26	volatility	volatility	NOUN
asir-36207	181	27	σhv	σhv	NOUN
asir-36207	181	28	.	.	PUNCT
asir-36207	182	1	the	the	DET
asir-36207	182	2	two	two	NUM
asir-36207	182	3	-	-	PUNCT
asir-36207	182	4	sample	sample	NOUN
asir-36207	182	5	t	t	NOUN
asir-36207	182	6	-	-	PUNCT
asir-36207	182	7	test	test	NOUN
asir-36207	182	8	supports	support	VERB
asir-36207	182	9	this	this	DET
asir-36207	182	10	conclusion	conclusion	NOUN
asir-36207	182	11	:	:	PUNCT
asir-36207	182	12	it	it	PRON
asir-36207	182	13	is	be	AUX
asir-36207	182	14	shown	show	VERB
asir-36207	182	15	that	that	SCONJ
asir-36207	182	16	there	there	PRON
asir-36207	182	17	is	be	VERB
asir-36207	182	18	a	a	DET
asir-36207	182	19	significant	significant	ADJ
asir-36207	182	20	difference	difference	NOUN
asir-36207	182	21	(	(	PUNCT
asir-36207	182	22	with	with	ADP
asir-36207	182	23	high	high	ADJ
asir-36207	182	24	probability	probability	NOUN
asir-36207	182	25	)	)	PUNCT
asir-36207	182	26	between	between	ADP
asir-36207	182	27	the	the	DET
asir-36207	182	28	estimated	estimate	VERB
asir-36207	182	29	price	price	NOUN
asir-36207	182	30	using	use	VERB
asir-36207	182	31	σhv	σhv	NOUN
asir-36207	182	32	and	and	CCONJ
asir-36207	182	33	the	the	DET
asir-36207	182	34	real	real	ADJ
asir-36207	182	35	price	price	NOUN
asir-36207	182	36	,	,	PUNCT
asir-36207	182	37	while	while	SCONJ
asir-36207	182	38	such	such	ADJ
asir-36207	182	39	difference	difference	NOUN
asir-36207	182	40	is	be	AUX
asir-36207	182	41	not	not	PART
asir-36207	182	42	significant	significant	ADJ
asir-36207	182	43	(	(	PUNCT
asir-36207	182	44	with	with	ADP
asir-36207	182	45	high	high	ADJ
asir-36207	182	46	probability	probability	NOUN
asir-36207	182	47	)	)	PUNCT
asir-36207	182	48	for	for	ADP
asir-36207	182	49	σiv	σiv	PRON
asir-36207	182	50	.	.	PUNCT
asir-36207	183	1	based	base	VERB
asir-36207	183	2	on	on	ADP
asir-36207	183	3	this	this	DET
asir-36207	183	4	study	study	NOUN
asir-36207	183	5	(	(	PUNCT
asir-36207	183	6	particularly	particularly	ADV
asir-36207	183	7	the	the	DET
asir-36207	183	8	two	two	NUM
asir-36207	183	9	computation	computation	NOUN
asir-36207	183	10	methods	method	NOUN
asir-36207	183	11	for	for	ADP
asir-36207	183	12	the	the	DET
asir-36207	183	13	volatility	volatility	NOUN
asir-36207	183	14	)	)	PUNCT
asir-36207	183	15	,	,	PUNCT
asir-36207	183	16	our	our	PRON
asir-36207	183	17	further	further	ADJ
asir-36207	183	18	research	research	NOUN
asir-36207	183	19	includes	include	VERB
asir-36207	183	20	(	(	PUNCT
asir-36207	183	21	but	but	CCONJ
asir-36207	183	22	not	not	PART
asir-36207	183	23	limited	limit	VERB
asir-36207	183	24	to	to	ADP
asir-36207	183	25	)	)	PUNCT
asir-36207	183	26	the	the	DET
asir-36207	183	27	following	follow	VERB
asir-36207	183	28	two	two	NUM
asir-36207	183	29	aspects	aspect	NOUN
asir-36207	183	30	.	.	PUNCT
asir-36207	184	1	first	first	ADV
asir-36207	184	2	,	,	PUNCT
asir-36207	184	3	it	it	PRON
asir-36207	184	4	would	would	AUX
asir-36207	184	5	be	be	AUX
asir-36207	184	6	interesting	interesting	ADJ
asir-36207	184	7	to	to	PART
asir-36207	184	8	generalize	generalize	VERB
asir-36207	184	9	this	this	DET
asir-36207	184	10	study	study	NOUN
asir-36207	184	11	to	to	PART
asir-36207	184	12	put	put	VERB
asir-36207	184	13	option	option	NOUN
asir-36207	184	14	by	by	ADP
asir-36207	184	15	using	use	VERB
asir-36207	184	16	the	the	DET
asir-36207	184	17	related	relate	VERB
asir-36207	184	18	bs	bs	NOUN
asir-36207	184	19	equation	equation	NOUN
asir-36207	184	20	p(s	p(s	NOUN
asir-36207	184	21	,	,	PUNCT
asir-36207	184	22	t)=e	t)=e	NOUN
asir-36207	184	23	-	-	PUNCT
asir-36207	184	24	r(t	r(t	NOUN
asir-36207	184	25	-	-	PUNCT
asir-36207	184	26	t)kn(-d2)-stn(-d1	t)kn(-d2)-stn(-d1	NUM
asir-36207	184	27	)	)	PUNCT
asir-36207	184	28	(	(	PUNCT
asir-36207	184	29	with	with	ADP
asir-36207	184	30	d1	d1	PROPN
asir-36207	184	31	and	and	CCONJ
asir-36207	184	32	d2	d2	PROPN
asir-36207	184	33	given	give	VERB
asir-36207	184	34	by	by	ADP
asir-36207	184	35	(	(	PUNCT
asir-36207	184	36	2.3	2.3	NUM
asir-36207	184	37	)	)	PUNCT
asir-36207	184	38	)	)	PUNCT
asir-36207	184	39	.	.	PUNCT
asir-36207	185	1	for	for	ADP
asir-36207	185	2	put	put	NOUN
asir-36207	185	3	option	option	NOUN
asir-36207	185	4	,	,	PUNCT
asir-36207	185	5	the	the	DET
asir-36207	185	6	computation	computation	NOUN
asir-36207	185	7	of	of	ADP
asir-36207	185	8	the	the	DET
asir-36207	185	9	historical	historical	ADJ
asir-36207	185	10	volatility	volatility	NOUN
asir-36207	185	11	σhv	σhv	NOUN
asir-36207	185	12	is	be	AUX
asir-36207	185	13	the	the	DET
asir-36207	185	14	same	same	ADJ
asir-36207	185	15	as	as	ADP
asir-36207	185	16	that	that	PRON
asir-36207	185	17	of	of	ADP
asir-36207	185	18	the	the	DET
asir-36207	185	19	call	call	NOUN
asir-36207	185	20	option	option	NOUN
asir-36207	185	21	,	,	PUNCT
asir-36207	185	22	but	but	CCONJ
asir-36207	185	23	for	for	ADP
asir-36207	185	24	the	the	DET
asir-36207	185	25	implied	imply	VERB
asir-36207	185	26	volatility	volatility	NOUN
asir-36207	185	27	σiv	σiv	ADV
asir-36207	185	28	we	we	PRON
asir-36207	185	29	have	have	VERB
asir-36207	185	30	to	to	PART
asir-36207	185	31	change	change	VERB
asir-36207	185	32	the	the	DET
asir-36207	185	33	parameter	parameter	PROPN
asir-36207	185	34	η	η	PROPN
asir-36207	185	35	for	for	ADP
asir-36207	185	36	the	the	DET
asir-36207	185	37	fixed	fix	VERB
asir-36207	185	38	-	-	PUNCT
asir-36207	185	39	point	point	NOUN
asir-36207	185	40	algorithm	algorithm	NOUN
asir-36207	185	41	.	.	PUNCT
asir-36207	186	1	the	the	DET
asir-36207	186	2	second	second	ADJ
asir-36207	186	3	aspect	aspect	NOUN
asir-36207	186	4	is	be	AUX
asir-36207	186	5	to	to	PART
asir-36207	186	6	extend	extend	VERB
asir-36207	186	7	the	the	DET
asir-36207	186	8	current	current	ADJ
asir-36207	186	9	study	study	NOUN
asir-36207	186	10	to	to	ADP
asir-36207	186	11	american	american	ADJ
asir-36207	186	12	options	option	NOUN
asir-36207	186	13	,	,	PUNCT
asir-36207	186	14	which	which	PRON
asir-36207	186	15	can	can	AUX
asir-36207	186	16	be	be	AUX
asir-36207	186	17	exercised	exercise	VERB
asir-36207	186	18	at	at	ADP
asir-36207	186	19	any	any	DET
asir-36207	186	20	time	time	NOUN
asir-36207	186	21	before	before	ADP
asir-36207	186	22	expiration	expiration	NOUN
asir-36207	186	23	.	.	PUNCT
asir-36207	187	1	pricing	price	VERB
asir-36207	187	2	american	american	ADJ
asir-36207	187	3	options	option	NOUN
asir-36207	187	4	is	be	AUX
asir-36207	187	5	more	more	ADV
asir-36207	187	6	complex	complex	ADJ
asir-36207	187	7	than	than	ADP
asir-36207	187	8	european	european	ADJ
asir-36207	187	9	options	option	NOUN
asir-36207	187	10	,	,	PUNCT
asir-36207	187	11	but	but	CCONJ
asir-36207	187	12	it	it	PRON
asir-36207	187	13	's	be	AUX
asir-36207	187	14	more	more	ADV
asir-36207	187	15	valuable	valuable	ADJ
asir-36207	187	16	as	as	SCONJ
asir-36207	187	17	they	they	PRON
asir-36207	187	18	play	play	VERB
asir-36207	187	19	a	a	DET
asir-36207	187	20	significant	significant	ADJ
asir-36207	187	21	role	role	NOUN
asir-36207	187	22	in	in	ADP
asir-36207	187	23	today	today	NOUN
asir-36207	187	24	's	's	PART
asir-36207	187	25	financial	financial	ADJ
asir-36207	187	26	market	market	NOUN
asir-36207	187	27	.	.	PUNCT
asir-36207	188	1	the	the	DET
asir-36207	188	2	bs	bs	PROPN
asir-36207	188	3	model	model	NOUN
asir-36207	188	4	is	be	AUX
asir-36207	188	5	also	also	ADV
asir-36207	188	6	useful	useful	ADJ
asir-36207	188	7	for	for	ADP
asir-36207	188	8	www.scholink.org/ojs/index.php/asir	www.scholink.org/ojs/index.php/asir	NOUN
asir-36207	188	9	applied	apply	VERB
asir-36207	188	10	science	science	NOUN
asir-36207	188	11	and	and	CCONJ
asir-36207	188	12	innovative	innovative	ADJ
asir-36207	188	13	research	research	NOUN
asir-36207	188	14	vol	vol	NOUN
asir-36207	188	15	.	.	PROPN
asir-36207	188	16	8	8	NUM
asir-36207	188	17	,	,	PUNCT
asir-36207	188	18	no	no	INTJ
asir-36207	188	19	.	.	NOUN
asir-36207	188	20	1	1	NUM
asir-36207	188	21	,	,	PUNCT
asir-36207	188	22	2024	2024	NUM
asir-36207	188	23	197	197	NUM
asir-36207	188	24	published	publish	VERB
asir-36207	188	25	by	by	ADP
asir-36207	188	26	scholink	scholink	PROPN
asir-36207	188	27	inc	inc	PROPN
asir-36207	188	28	.	.	PROPN
asir-36207	188	29	pricing	price	VERB
asir-36207	188	30	american	american	ADJ
asir-36207	188	31	options	option	NOUN
asir-36207	188	32	,	,	PUNCT
asir-36207	188	33	but	but	CCONJ
asir-36207	188	34	its	its	PRON
asir-36207	188	35	mathematical	mathematical	ADJ
asir-36207	188	36	formula	formula	NOUN
asir-36207	188	37	differs	differ	VERB
asir-36207	188	38	significantly	significantly	ADV
asir-36207	188	39	from	from	ADP
asir-36207	188	40	that	that	PRON
asir-36207	188	41	of	of	ADP
asir-36207	188	42	european	european	ADJ
asir-36207	188	43	options	option	NOUN
asir-36207	188	44	(	(	PUNCT
asir-36207	188	45	see	see	VERB
asir-36207	188	46	mahato	mahato	NOUN
asir-36207	188	47	and	and	CCONJ
asir-36207	188	48	knowles	knowles	PROPN
asir-36207	188	49	(	(	PUNCT
asir-36207	188	50	2020	2020	NUM
asir-36207	188	51	)	)	PUNCT
asir-36207	188	52	for	for	ADP
asir-36207	188	53	details	detail	NOUN
asir-36207	188	54	)	)	PUNCT
asir-36207	188	55	.	.	PUNCT
asir-36207	189	1	to	to	PART
asir-36207	189	2	use	use	VERB
asir-36207	189	3	the	the	DET
asir-36207	189	4	bs	bs	NOUN
asir-36207	189	5	model	model	NOUN
asir-36207	189	6	for	for	ADP
asir-36207	189	7	pricing	price	VERB
asir-36207	189	8	american	american	ADJ
asir-36207	189	9	options	option	NOUN
asir-36207	189	10	,	,	PUNCT
asir-36207	189	11	we	we	PRON
asir-36207	189	12	need	need	VERB
asir-36207	189	13	to	to	PART
asir-36207	189	14	fix	fix	VERB
asir-36207	189	15	the	the	DET
asir-36207	189	16	volatility	volatility	NOUN
asir-36207	189	17	parameter	parameter	NOUN
asir-36207	189	18	.	.	PUNCT
asir-36207	190	1	our	our	PRON
asir-36207	190	2	preliminary	preliminary	ADJ
asir-36207	190	3	research	research	NOUN
asir-36207	190	4	shows	show	VERB
asir-36207	190	5	that	that	SCONJ
asir-36207	190	6	implied	imply	VERB
asir-36207	190	7	volatility	volatility	NOUN
asir-36207	190	8	provides	provide	VERB
asir-36207	190	9	better	well	ADJ
asir-36207	190	10	precision	precision	NOUN
asir-36207	190	11	for	for	ADP
asir-36207	190	12	real	real	ADJ
asir-36207	190	13	option	option	NOUN
asir-36207	190	14	prices	price	NOUN
asir-36207	190	15	observed	observe	VERB
asir-36207	190	16	in	in	ADP
asir-36207	190	17	the	the	DET
asir-36207	190	18	market	market	NOUN
asir-36207	190	19	than	than	ADP
asir-36207	190	20	historical	historical	ADJ
asir-36207	190	21	volatility	volatility	NOUN
asir-36207	190	22	.	.	PUNCT
asir-36207	191	1	however	however	ADV
asir-36207	191	2	,	,	PUNCT
asir-36207	191	3	obtaining	obtain	VERB
asir-36207	191	4	implied	imply	VERB
asir-36207	191	5	volatility	volatility	NOUN
asir-36207	191	6	requires	require	VERB
asir-36207	191	7	solving	solve	VERB
asir-36207	191	8	a	a	DET
asir-36207	191	9	corresponding	corresponding	ADJ
asir-36207	191	10	nonlinear	nonlinear	ADJ
asir-36207	191	11	bs	bs	NOUN
asir-36207	191	12	equation	equation	NOUN
asir-36207	191	13	using	use	VERB
asir-36207	191	14	a	a	DET
asir-36207	191	15	fixed	fix	VERB
asir-36207	191	16	-	-	PUNCT
asir-36207	191	17	point	point	NOUN
asir-36207	191	18	algorithm	algorithm	NOUN
asir-36207	191	19	that	that	PRON
asir-36207	191	20	may	may	AUX
asir-36207	191	21	converge	converge	VERB
asir-36207	191	22	slowly	slowly	ADV
asir-36207	191	23	due	due	ADP
asir-36207	191	24	to	to	ADP
asir-36207	191	25	certain	certain	ADJ
asir-36207	191	26	parameters	parameter	NOUN
asir-36207	191	27	like	like	ADP
asir-36207	191	28	η	η	PROPN
asir-36207	191	29	.	.	PROPN
asir-36207	191	30	references	references	PROPN
asir-36207	191	31	ali	ali	PROPN
asir-36207	191	32	,	,	PUNCT
asir-36207	191	33	b.	b.	PROPN
asir-36207	191	34	,	,	PUNCT
asir-36207	191	35	&	&	CCONJ
asir-36207	191	36	naima	naima	PROPN
asir-36207	191	37	,	,	PUNCT
asir-36207	191	38	b.	b.	PROPN
asir-36207	191	39	(	(	PUNCT
asir-36207	191	40	2019	2019	NUM
asir-36207	191	41	)	)	PUNCT
asir-36207	191	42	.	.	PUNCT
asir-36207	192	1	options	option	NOUN
asir-36207	192	2	pricing	pricing	NOUN
asir-36207	192	3	by	by	ADP
asir-36207	192	4	monte	monte	PROPN
asir-36207	192	5	carlo	carlo	PROPN
asir-36207	192	6	simulation	simulation	PROPN
asir-36207	192	7	,	,	PUNCT
asir-36207	192	8	binomial	binomial	ADJ
asir-36207	192	9	tree	tree	NOUN
asir-36207	192	10	and	and	CCONJ
asir-36207	192	11	bms	bms	PROPN
asir-36207	192	12	model	model	NOUN
asir-36207	192	13	:	:	PUNCT
asir-36207	192	14	a	a	DET
asir-36207	192	15	comparative	comparative	ADJ
asir-36207	192	16	study	study	NOUN
asir-36207	192	17	.	.	PUNCT
asir-36207	193	1	journal	journal	NOUN
asir-36207	193	2	of	of	ADP
asir-36207	193	3	banking	banking	NOUN
asir-36207	193	4	and	and	CCONJ
asir-36207	193	5	financial	financial	ADJ
asir-36207	193	6	economics	economic	NOUN
asir-36207	193	7	,	,	PUNCT
asir-36207	193	8	1	1	NUM
asir-36207	193	9	,	,	PUNCT
asir-36207	193	10	79	79	NUM
asir-36207	193	11	-	-	SYM
asir-36207	193	12	95	95	NUM
asir-36207	193	13	.	.	PUNCT
asir-36207	194	1	https://doi.org/10.7172/2353-6845.jbfe.2019.1.4	https://doi.org/10.7172/2353-6845.jbfe.2019.1.4	PROPN
asir-36207	194	2	bandi	bandi	PROPN
asir-36207	194	3	,	,	PUNCT
asir-36207	194	4	f.	f.	PROPN
asir-36207	194	5	m.	m.	PROPN
asir-36207	194	6	,	,	PUNCT
asir-36207	194	7	&	&	CCONJ
asir-36207	194	8	perron	perron	PROPN
asir-36207	194	9	,	,	PUNCT
asir-36207	194	10	b.	b.	PROPN
asir-36207	194	11	(	(	PUNCT
asir-36207	194	12	2006	2006	NUM
asir-36207	194	13	)	)	PUNCT
asir-36207	194	14	.	.	PUNCT
asir-36207	195	1	long	long	ADJ
asir-36207	195	2	memory	memory	NOUN
asir-36207	195	3	and	and	CCONJ
asir-36207	195	4	the	the	DET
asir-36207	195	5	relation	relation	NOUN
asir-36207	195	6	between	between	ADP
asir-36207	195	7	implied	imply	VERB
asir-36207	195	8	and	and	CCONJ
asir-36207	195	9	realized	realize	VERB
asir-36207	195	10	volatility	volatility	NOUN
asir-36207	195	11	.	.	PUNCT
asir-36207	196	1	j.	j.	PROPN
asir-36207	196	2	financ	financ	PROPN
asir-36207	196	3	.	.	PUNCT
asir-36207	197	1	econom	econom	PROPN
asir-36207	197	2	.	.	PROPN
asir-36207	197	3	,	,	PUNCT
asir-36207	197	4	4	4	NUM
asir-36207	197	5	,	,	PUNCT
asir-36207	197	6	636	636	NUM
asir-36207	197	7	-	-	SYM
asir-36207	197	8	670	670	NUM
asir-36207	197	9	.	.	PUNCT
asir-36207	198	1	https://doi.org/10.1093/jjfinec/nbl003	https://doi.org/10.1093/jjfinec/nbl003	NOUN
asir-36207	198	2	black	black	NOUN
asir-36207	198	3	,	,	PUNCT
asir-36207	198	4	f.	f.	PROPN
asir-36207	198	5	,	,	PUNCT
asir-36207	198	6	&	&	CCONJ
asir-36207	198	7	scholes	scholes	PROPN
asir-36207	198	8	,	,	PUNCT
asir-36207	198	9	m.	m.	NOUN
asir-36207	198	10	(	(	PUNCT
asir-36207	198	11	1973	1973	NUM
asir-36207	198	12	)	)	PUNCT
asir-36207	198	13	.	.	PUNCT
asir-36207	199	1	the	the	DET
asir-36207	199	2	pricing	pricing	NOUN
asir-36207	199	3	of	of	ADP
asir-36207	199	4	options	option	NOUN
asir-36207	199	5	and	and	CCONJ
asir-36207	199	6	corporate	corporate	ADJ
asir-36207	199	7	liabilities	liability	NOUN
asir-36207	199	8	.	.	PUNCT
asir-36207	200	1	j.	j.	PROPN
asir-36207	200	2	polit	polit	PROPN
asir-36207	200	3	.	.	PROPN
asir-36207	200	4	econ	econ	PROPN
asir-36207	200	5	.	.	PROPN
asir-36207	200	6	,	,	PUNCT
asir-36207	200	7	637	637	NUM
asir-36207	200	8	-	-	SYM
asir-36207	200	9	654	654	NUM
asir-36207	200	10	.	.	PUNCT
asir-36207	201	1	https://doi.org/10.1086/260062	https://doi.org/10.1086/260062	PRON
asir-36207	201	2	chicago	chicago	PROPN
asir-36207	201	3	board	board	NOUN
asir-36207	201	4	options	option	NOUN
asir-36207	201	5	exchange	exchange	PROPN
asir-36207	201	6	:	:	PUNCT
asir-36207	201	7	cboe	cboe	PROPN
asir-36207	201	8	volatility	volatility	NOUN
asir-36207	201	9	indexes	index	NOUN
asir-36207	201	10	.	.	PUNCT
asir-36207	202	1	2016	2016	NUM
asir-36207	202	2	,	,	PUNCT
asir-36207	202	3	march	march	PROPN
asir-36207	202	4	.	.	PUNCT
asir-36207	203	1	latane	latane	PROPN
asir-36207	203	2	,	,	PUNCT
asir-36207	203	3	h.	h.	PROPN
asir-36207	203	4	a.	a.	PROPN
asir-36207	203	5	,	,	PUNCT
asir-36207	203	6	&	&	CCONJ
asir-36207	203	7	rendleman	rendleman	PROPN
asir-36207	203	8	,	,	PUNCT
asir-36207	203	9	r.	r.	PROPN
asir-36207	203	10	j.	j.	PROPN
asir-36207	203	11	(	(	PUNCT
asir-36207	203	12	1976	1976	NUM
asir-36207	203	13	)	)	PUNCT
asir-36207	203	14	.	.	PUNCT
asir-36207	204	1	standard	standard	ADJ
asir-36207	204	2	deviation	deviation	NOUN
asir-36207	204	3	of	of	ADP
asir-36207	204	4	stock	stock	NOUN
asir-36207	204	5	price	price	NOUN
asir-36207	204	6	ratios	ratio	NOUN
asir-36207	204	7	implied	imply	VERB
asir-36207	204	8	by	by	ADP
asir-36207	204	9	option	option	NOUN
asir-36207	204	10	premia	premia	NOUN
asir-36207	204	11	.	.	PUNCT
asir-36207	205	1	j.	j.	PROPN
asir-36207	205	2	finance	finance	PROPN
asir-36207	205	3	,	,	PUNCT
asir-36207	205	4	31	31	NUM
asir-36207	205	5	,	,	PUNCT
asir-36207	205	6	369	369	NUM
asir-36207	205	7	-	-	SYM
asir-36207	205	8	382	382	NUM
asir-36207	205	9	.	.	PUNCT
asir-36207	206	1	https://doi.org/10.1111/j.1540-6261.1976.tb01892.x	https://doi.org/10.1111/j.1540-6261.1976.tb01892.x	PROPN
asir-36207	206	2	li	li	PROPN
asir-36207	206	3	,	,	PUNCT
asir-36207	206	4	s.	s.	PROPN
asir-36207	206	5	(	(	PUNCT
asir-36207	206	6	2005	2005	NUM
asir-36207	206	7	)	)	PUNCT
asir-36207	206	8	.	.	PUNCT
asir-36207	207	1	a	a	DET
asir-36207	207	2	new	new	ADJ
asir-36207	207	3	formula	formula	NOUN
asir-36207	207	4	for	for	ADP
asir-36207	207	5	computing	compute	VERB
asir-36207	207	6	implied	imply	VERB
asir-36207	207	7	volatility	volatility	NOUN
asir-36207	207	8	.	.	PUNCT
asir-36207	208	1	appl	appl	PROPN
asir-36207	208	2	.	.	PROPN
asir-36207	208	3	math	math	PROPN
asir-36207	208	4	.	.	PUNCT
asir-36207	209	1	comput	comput	NOUN
asir-36207	209	2	.	.	PUNCT
asir-36207	209	3	,	,	PUNCT
asir-36207	209	4	170	170	NUM
asir-36207	209	5	,	,	PUNCT
asir-36207	209	6	611	611	NUM
asir-36207	209	7	-	-	SYM
asir-36207	209	8	625	625	NUM
asir-36207	209	9	.	.	PUNCT
asir-36207	210	1	https://doi.org/10.1016/j.amc.2004.12.034	https://doi.org/10.1016/j.amc.2004.12.034	PROPN
asir-36207	210	2	mahato	mahato	PROPN
asir-36207	210	3	,	,	PUNCT
asir-36207	210	4	a.	a.	NOUN
asir-36207	210	5	,	,	PUNCT
asir-36207	210	6	&	&	CCONJ
asir-36207	210	7	knowles	knowles	PROPN
asir-36207	210	8	,	,	PUNCT
asir-36207	210	9	i.	i.	PROPN
asir-36207	210	10	(	(	PUNCT
asir-36207	210	11	2020	2020	NUM
asir-36207	210	12	)	)	PUNCT
asir-36207	210	13	.	.	PUNCT
asir-36207	211	1	the	the	DET
asir-36207	211	2	inverse	inverse	NOUN
asir-36207	211	3	volatility	volatility	NOUN
asir-36207	211	4	problem	problem	NOUN
asir-36207	211	5	for	for	ADP
asir-36207	211	6	american	american	ADJ
asir-36207	211	7	options	option	NOUN
asir-36207	211	8	.	.	PUNCT
asir-36207	212	1	discrete	discrete	ADJ
asir-36207	212	2	and	and	CCONJ
asir-36207	212	3	continuous	continuous	ADJ
asir-36207	212	4	dynamical	dynamical	ADJ
asir-36207	212	5	systems	system	NOUN
asir-36207	212	6	-s	-s	PROPN
asir-36207	212	7	,	,	PUNCT
asir-36207	212	8	13	13	NUM
asir-36207	212	9	,	,	PUNCT
asir-36207	212	10	3473	3473	NUM
asir-36207	212	11	-	-	SYM
asir-36207	212	12	3489	3489	NUM
asir-36207	212	13	.	.	PUNCT
asir-36207	213	1	merton	merton	PROPN
asir-36207	213	2	,	,	PUNCT
asir-36207	213	3	r.	r.	PROPN
asir-36207	213	4	c.	c.	PROPN
asir-36207	213	5	(	(	PUNCT
asir-36207	213	6	1973	1973	NUM
asir-36207	213	7	)	)	PUNCT
asir-36207	213	8	.	.	PUNCT
asir-36207	214	1	theory	theory	NOUN
asir-36207	214	2	of	of	ADP
asir-36207	214	3	rational	rational	ADJ
asir-36207	214	4	option	option	NOUN
asir-36207	214	5	pricing	pricing	NOUN
asir-36207	214	6	.	.	PUNCT
asir-36207	215	1	bell	bell	PROPN
asir-36207	215	2	j.	j.	PROPN
asir-36207	215	3	econ	econ	PROPN
asir-36207	215	4	.	.	PUNCT
asir-36207	215	5	manage	manage	VERB
asir-36207	215	6	.	.	PUNCT
asir-36207	216	1	sci	sci	PROPN
asir-36207	216	2	.	.	PROPN
asir-36207	216	3	,	,	PUNCT
asir-36207	216	4	4	4	NUM
asir-36207	216	5	,	,	PUNCT
asir-36207	216	6	141	141	NUM
asir-36207	216	7	-	-	SYM
asir-36207	216	8	183	183	NUM
asir-36207	216	9	.	.	PUNCT
asir-36207	216	10	https://doi.org/10.2307/3003143	https://doi.org/10.2307/3003143	PROPN
asir-36207	216	11	orlando	orlando	PROPN
asir-36207	216	12	,	,	PUNCT
asir-36207	216	13	g.	g.	PROPN
asir-36207	216	14	,	,	PUNCT
asir-36207	216	15	&	&	CCONJ
asir-36207	216	16	taglialatela	taglialatela	PROPN
asir-36207	216	17	,	,	PUNCT
asir-36207	216	18	g.	g.	PROPN
asir-36207	216	19	(	(	PUNCT
asir-36207	216	20	2017	2017	NUM
asir-36207	216	21	)	)	PUNCT
asir-36207	216	22	.	.	PUNCT
asir-36207	217	1	a	a	DET
asir-36207	217	2	review	review	NOUN
asir-36207	217	3	on	on	ADP
asir-36207	217	4	implied	imply	VERB
asir-36207	217	5	volatility	volatility	NOUN
asir-36207	217	6	calculation	calculation	NOUN
asir-36207	217	7	.	.	PUNCT
asir-36207	218	1	j.	j.	PROPN
asir-36207	218	2	comput	comput	PROPN
asir-36207	218	3	.	.	PUNCT
asir-36207	219	1	appl	appl	PROPN
asir-36207	219	2	.	.	PROPN
asir-36207	219	3	math	math	PROPN
asir-36207	219	4	.	.	PUNCT
asir-36207	220	1	,	,	PUNCT
asir-36207	220	2	320	320	NUM
asir-36207	220	3	,	,	PUNCT
asir-36207	220	4	202	202	NUM
asir-36207	220	5	-	-	SYM
asir-36207	220	6	220	220	NUM
asir-36207	220	7	.	.	PUNCT
asir-36207	221	1	https://doi.org/10.1016/j.cam.2017.02.002	https://doi.org/10.1016/j.cam.2017.02.002	NOUN
asir-36207	221	2	whaley	whaley	PROPN
asir-36207	221	3	,	,	PUNCT
asir-36207	221	4	r.	r.	PROPN
asir-36207	221	5	e.	e.	PROPN
asir-36207	221	6	(	(	PUNCT
asir-36207	221	7	1993	1993	NUM
asir-36207	221	8	)	)	PUNCT
asir-36207	221	9	.	.	PUNCT
asir-36207	222	1	derivatives	derivative	NOUN
asir-36207	222	2	on	on	ADP
asir-36207	222	3	market	market	NOUN
asir-36207	222	4	volatility	volatility	NOUN
asir-36207	222	5	:	:	PUNCT
asir-36207	222	6	hedging	hedging	NOUN
asir-36207	222	7	tools	tool	NOUN
asir-36207	222	8	long	long	ADV
asir-36207	222	9	overdue	overdue	ADJ
asir-36207	222	10	.	.	PUNCT
asir-36207	223	1	j.	j.	PROPN
asir-36207	223	2	deriv	deriv	PROPN
asir-36207	223	3	.	.	PROPN
asir-36207	223	4	,	,	PUNCT
asir-36207	223	5	1	1	NUM
asir-36207	223	6	,	,	PUNCT
asir-36207	223	7	71	71	NUM
asir-36207	223	8	-	-	SYM
asir-36207	223	9	84	84	NUM
asir-36207	223	10	.	.	PUNCT
asir-36207	223	11	https://doi.org/10.3905/jod.1993.407868	https://doi.org/10.3905/jod.1993.407868	VERB