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Pricing of American Call Option Under Lévy Model With Stochastic Volatility(PDF)

《南京师大学报(自然科学版)》[ISSN:1001-4616/CN:32-1239/N]

Issue:
2008年03期
Page:
48-53
Research Field:
数学
Publishing date:

Info

Title:
Pricing of American Call Option Under Lévy Model With Stochastic Volatility
Author(s):
Ding Ling1Yang Jilong2
1.Department of Basic Education,Jiangsu University of Science and Technology,Zhangjiagang 215600,China
Keywords:
Ame rican option stochastic vo la tility L?vy m odel option pr ic ing
PACS:
F830.9;F224
DOI:
-
Abstract:
Option pric ing is one of the im po rtant contents in the m odern theory o f finance. Option price is re la ted to the vo latility of unde rlying assets. In the B- S m ode,l volatility is assum ed as a constant, bu t in rea lity, it is o ften seem ed as a random process. In th is pape r, the pric ing o fAm erican call option under L?vym odelw ith stochastic vo la tility was d iscussed. The optim a l exe rc ising tim e of Ame rican call option and the partial differential equation o f the value function o f the option were obta ined.

References:

[ 1] W igg ins J B. Option va lues under stochastic vo latility: Theory and em pir ica l estim ates[ J] . Jou rnal o f F inanc ia l E conom ics,1987, 19: 351-372.
[ 2] H ull J, W hite A. The pr ic ing of options on assets w ith stochastic vo latility [ J]. The Journa l o f F inance, 1987, 42: 281-300.
[ 3] H ull J, W hite A. An analysis of the bias in option pricing w ith stochastic vo latility [ J] . Adv Futures Opt Res, 1988, 3: 29-61.
[ 4] H eston S L. A c losed- fo rm so lution for options w ith sto chastic vo la tility w ith applications to bond and currency options[ J].
The Rev iew o f F inancia l Stud ies, 1993, 6: 327-343.
[ 5] Fouque J P, Papanicolaou G, S ipcarK R. Der ivatives in F inanc ia lM arke tsw ith StochasticVo latility[M ]. Cam bridge: C ambridge Un iversity Press, 2000.
[ 6] M asaaki Otaka. Study on option pr ic ing in an incom pletem arket w ith stochastic vo la tility based on risk prem ium analysis[ J].M a them a tica l and Com puterM ode lling, 2003, 38: 1 399-1 408.
[ 7] 陈萍, 杨孝平. 有随机波动率及定期分红和配股时美式看涨期权的定价[ J]. 应用概率统计, 2005, 21( 1): 81-87.
[ 8] Dav id App lebaum. L?vy Processes and S to chastic Ca lcu lus[M ]. Cam bridge: Cam bridgeUn iv ers ity Press, 2004.

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Last Update: 2013-05-05