两股票情形下欧式期权定价新方法(英文)  

A New Method for European Option Pricing With Two Stocks

作　　者：王锐[1] 

机构地区：[1]山东大学数学学院,山东济南250100

出　　处：《经济数学》2012年第2期52-56,共5页Journal of Quantitative Economics

摘　　要：假定股票价格服从布朗运动驱动的随机微分方程,从随机动力学的角度出发考虑欧式期权定价问题.由Fokker-Planck-Kolmogrov得到了股票价格过程的概率转移密度函数,基于此,可以求得两股票情形下各种欧式类型未定权益的定价公式.为欧式期权定价提供了一个新方法.Assuming that the stock price obeys the stochastic differential equation driven by Brownian motion, European option pricing with two stocks was considered by using stochastic dynamic theory at first time. The density function of stock process was obtained by using Fokker-Planck-Kolmogrov equation. Then, the price explicit expression of the European option was given. It provides a new method for European option pricing.

关 键 词：欧式期权定价 随机动力理论 Fokker Planck—Kolmogrov方程 

分 类 号：O324[理学—一般力学与力学基础] O175.12[理学—力学]