吉林大学学报(理学版)

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求解美式期权定价问题的预估校正方法

赵文雯1, 袁缘2, 朱本喜3, 吕显瑞3   

  1. 1. 天津师范大学津沽学院 理学系, 天津 300387; 2. 长春工业大学 基础科学学院, 长春 130012;3. 吉林大学 数学学院, 长春 130012
  • 收稿日期:2015-04-08 出版日期:2015-11-26 发布日期:2015-11-23
  • 通讯作者: 袁缘 E-mail:16561458@qq.com

PredictionCorrection Method for Pricing American Options

ZHAO Wenwen1, YUAN Yuan2, ZHU Benxi3, LV Xianrui3   

  1. 1. Department of Physiology, Tianjin Normal University Jingu College, Tianjin 300387, China;2. School of Basic Science, Changchun University of Technology, Changchun 130012, China;3. College of Mathematics, Jilin University, Changchun 130012, China
  • Received:2015-04-08 Online:2015-11-26 Published:2015-11-23
  • Contact: YUAN Yuan E-mail:16561458@qq.com

摘要:

考虑求解美式期权定价问题的预估校正方法. 先通过变量替换和截断技巧将美式期权定价问题转化为有界区间上的线性互补问题, 再采用有限差分法离散该问题. 对于离散后的系统, 采用预估校正方法进行求解. 数值实验表明, 该算法能快速准确地模拟不同参数下的美式期权价格.

关键词: 美式期权, 有限差分法, 预估校正方法

Abstract:

We proposed a predictioncorrection method for pricing American options. We transformed the option pricing problem into a linear complementary problem on a bounded domain via variable substitution and truncation technique, and discretized it via a finite difference method. For the resulting discretized system was solved by a predictioncorrection method. Numerical experiments show that the proposed method can solve the American option pricing problem fast and accurately.

Key words: American option, finite difference method, predictioncorrection method

中图分类号: 

  • O241.82