An asymptotic valuation for the option under a general stochastic volatility

被引:1
|
作者
Kim, YJ [1 ]
机构
[1] Hosei Univ, Fac Business Adm, Chiyoda Ku, Tokyo 1028160, Japan
关键词
D O I
10.15807/jorsj.45.404
中图分类号
C93 [管理学]; O22 [运筹学];
学科分类号
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要
This article examines the valuation problem for the European option under a general stochastic volatility in a certain approximate sense by adopting the small disturbance asymptotic theory developed by Kunitomo and Takahashi [25, 26]. The option value can be decomposed into the Black and Scholes value under deterministic volatility and adjustment terms driven by the randomness of the volatility, which also extends some portions of Kunitomo and Kim [24].
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页码:404 / 425
页数:22
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