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基于Black-Scholes模型的期权定价新方法

沈玉波 张待见 宋立新

大连理工大学学报2011,Vol.51Issue(4):621-624,4.
大连理工大学学报2011,Vol.51Issue(4):621-624,4.

基于Black-Scholes模型的期权定价新方法

A new method of option pricing based on Black-Scholes model

沈玉波 1张待见 1宋立新1

作者信息

  • 1. 大连理工大学数学科学学院,辽宁大连116024
  • 折叠

摘要

Abstract

Actual financial markets are incompleted and distributions of yield rate are fat-tailed,so based on the classical Black-Scholes model and using downward convex property of function,option pricing formula H(a)=E[(X-a)2] is generalized to Hk(a)=E[(X-a)2k].With the GARCH model of DJSH rate and by using the method of stochastic simulation,effects of the two pricing formulas are compared.The results show that the new formula of option pricing effectively increases the price and reduces the risk.

关键词

Black-Scholes公式/GARCH模型/Girsanov定理

Key words

Black-Scholes formula/GARCH model/Girsanov theorem

分类

数理科学

引用本文复制引用

沈玉波,张待见,宋立新..基于Black-Scholes模型的期权定价新方法[J].大连理工大学学报,2011,51(4):621-624,4.

大连理工大学学报

OA北大核心CSCDCSTPCD

1000-8608

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