违约风险的交换期权的定价模型与解法  

The Model and Valuation of Exchange Option with Credit Risk

作　　者：涂淑珍[1] 李时银[1] 

机构地区：[1]厦门大学数学科学学院,福建厦门361005

出　　处：《数学研究》2012年第2期198-206,共9页Journal of Mathematical Study

基　　金：国家自然科学基金项目(11071202)

摘　　要：含交易对手违约风险的交换期权采用混合模型定价,借助公司价值模型中的补偿率,同时采用以强度为基础的违约函数来确定违约的发生.假定违约强度遵从均值回复的重随机Poisson过程:且违约强度过程与标的资产,企业价值都相关.利用等价鞅测度变换方法导出含有违约风险的交换期权的价格闭解.Our hybrid framework is fully general in both intensity and recovery rate depending oil the firm value.It is therefore that a firm value model with a bankruptcy process determines the time of default. We describe the process of default via a doubly stochastic Poisson process, and assume that the intensity process A of Poisson process follows an mean-reverting process. It is supposed that default intensity process A correlates mutually with the diffuse processes of the underling asset price and the value of the firm. By applying equivalent martingale measure transformation, the closed form solution for vulnerable exchange option is given.

关 键 词：重随机Poisson过程 信用风险 违约强度 等价鞅测度 

分 类 号：F830.9[经济管理—金融学] O211.6[理学—概率论与数理统计]