吉林大学学报(理学版)

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求解Black-Scholes模型下美式看跌期权的有限差分法

李景诗, 王智宇, 朱本喜, 宋海明   

  1. 吉林大学 数学学院, 长春 130012
  • 收稿日期:2013-09-26 出版日期:2014-09-26 发布日期:2014-09-26
  • 通讯作者: 朱本喜 E-mail:zhubx@jlu.edu.cn

Finite Difference Method for Solving AmericanPut Option under the BlackScholes Model

LI Jingshi, WANG Zhiyu, ZHU Benxi, SONG Haiming   

  1. College of Mathematics, Jilin University, Changchun 130012, China
  • Received:2013-09-26 Online:2014-09-26 Published:2014-09-26
  • Contact: ZHU Benxi E-mail:zhubx@jlu.edu.cn

摘要:

考虑Black-Scholes模型下美式看跌期权的定价问题. 采用有限差分法和Newton法耦合求解BlackScholes方程, 得到了期权价格和最佳实施边界的数值逼近结果. 数值实验验证了算法的有效性.

关键词: Black-Scholes模型, 美式看跌期权, 最佳实施边界

Abstract:

This paper deals with the American put option pricing problem governed by the BlackScholes equation. Applying finite difference method coupled with Newton’s method to solve the BlackScholes equation, we can get the numerical approximations of the option price and the optimal exercise boundary simultaneously. Numerical experiments verify the efficiency of the method.

Key words: Black-Scholes model, American put option, optimal exercise boundary

中图分类号: 

  • O241.8