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利率服从Vasicek模型下的欧式期权定价

王晶 张兴永

安庆师范学院学报:自然科学版2011,Vol.17Issue(3):35-37,45,4.
安庆师范学院学报:自然科学版2011,Vol.17Issue(3):35-37,45,4.

利率服从Vasicek模型下的欧式期权定价

European Option Pricing under the Vasicek Model of the Interest Rate

王晶 1张兴永1

作者信息

  • 1. 中国矿业大学理学院,江苏徐州221008
  • 折叠

摘要

Abstract

Base on the stochastic nature of the rate,an explicit option pricing formula is obtained for European option.First of all,we derive the pricing formula for a riskless zero-coupon bond under the Vasicek mordel to enhance its accuracy,then we form a hedge portfolio consisting of the stock,the riskless bond,and the call to derive a stochastic differential equation,and solve its explicit solution.A numerical example is given for verifying the validity of the formula,and analyzing the effects of stochastic interest rate for European option pricing.

关键词

期权定价/Vasicek模型/Black-Scholes定价模型/投资组合

Key words

option pricing/vasicek model/black-stoles pricing model/portfolio

分类

管理科学

引用本文复制引用

王晶,张兴永..利率服从Vasicek模型下的欧式期权定价[J].安庆师范学院学报:自然科学版,2011,17(3):35-37,45,4.

安庆师范学院学报:自然科学版

1007-4260

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