数学研究
數學研究
수학연구
JOURNAL OF MATHEMATICAL STUDY
2012年
2期
198-206
,共9页
重随机Poisson过程%信用风险%违约强度%等价鞅测度
重隨機Poisson過程%信用風險%違約彊度%等價鞅測度
중수궤Poisson과정%신용풍험%위약강도%등개앙측도
Doubly stochastic Poisson process%Credit risk%Default intensity%Equiv-alent martingale measure
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.
含交易對手違約風險的交換期權採用混閤模型定價,藉助公司價值模型中的補償率,同時採用以彊度為基礎的違約函數來確定違約的髮生.假定違約彊度遵從均值迴複的重隨機Poisson過程:且違約彊度過程與標的資產,企業價值都相關.利用等價鞅測度變換方法導齣含有違約風險的交換期權的價格閉解.
함교역대수위약풍험적교환기권채용혼합모형정개,차조공사개치모형중적보상솔,동시채용이강도위기출적위약함수래학정위약적발생.가정위약강도준종균치회복적중수궤Poisson과정:차위약강도과정여표적자산,기업개치도상관.이용등개앙측도변환방법도출함유위약풍험적교환기권적개격폐해.
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.