Regime switching~模型下的幂式期权定价

苏小囡; 王伟; 王文胜

Regime switching~模型下的幂式期权定价

1.
南京审计学院数学与统计学院, 南京 211815;
2.
宁波大学数学系, 浙江宁波 315211;
3.
杭州师范大学数学系, 杭州 310036

详细信息

中图分类号: O211
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出版历程
- 收稿日期: 2013-01-01
- 修回日期: 2013-04-01
- 刊出日期: 2013-11-25

Valuing power options under a regime-switching model

1.
School of Mathematics and Statistics, Nanjing Audit University, Nanjing 211815, China;
2.
Department of Mathematics, Ningbo University, Ningbo Zhejiang 31521, China;
3.
Department of Hangzhou Normal University, Hangzhou 310036, China

摘要

摘要: 研究了标的资产价格过程服从马尔科夫调节的几何布朗运动时的欧式幂型看涨期权的定价问题. 特别是, 市场利率, 标的风险资产的预期收益率与波动率随着马尔科夫链的状态转移而变化. 由于市场不完备, 通过采用 regime switching Esscher 变换得到一个等价鞅测度并给出期权的定价公式. 最后, 考虑了所得结果的数值分析.
- regime switching /
- 幂式期权 /
- regime switching Esscher 变换 /
- 期权定价 /
- 数值分析
Abstract: The pricing of European style power call options was considered when the dynamics of the underlying risky asset are driven by the Markov-modulated Geometric Brownian Motion. In particular, the market interest rate, the appreciation rate and the volatility of the underlying risky asset switched over time according to the sates of the continuous time Markov chain process. Since the market is incomplete, the regime switching Esscher transform was employed to determine an equivalent martingale measure and derive the valuation of the options. Then, the numerical analysis of our result was given.
- regime switching /
- power options /
- regime switching Esscher transform /
- option pricing /
- numerical analysis

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参考文献(1)

[1]

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