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随机利率下服从分数跳-扩散模型的重置期权定价
引用本文:秦进,邓小华.随机利率下服从分数跳-扩散模型的重置期权定价[J].数学的实践与认识,2012,42(19):1-9.
作者姓名:秦进  邓小华
作者单位:1. 遵义师范学院数学系,贵州遵义,564302
2. 棠湖中学外语实验学校,四川成都,610225
摘    要:假设利率服从扩展的Vasicek模型,标的资产价格服从分数跳-扩散过程,利用无套利理论与多元正态分布,导出了规定时间的重置期权的定价公式.

关 键 词:重置期权  随机利率  分数布朗运动  跳-扩散过程

Pricing of Reset Option Under Fractional Jump-Diffusions and Stochastic Rate
QIN Jin , DENG Xiao-hua.Pricing of Reset Option Under Fractional Jump-Diffusions and Stochastic Rate[J].Mathematics in Practice and Theory,2012,42(19):1-9.
Authors:QIN Jin  DENG Xiao-hua
Institution:1.Department of Mathematics,Zunyi Normal College,Zunyi 563002,China) (2.Foreign Language Experimental School Affiliated to Tanghu Middle School,Chengdu 610225,China)
Abstract:Under the assumptions that the exchange rate and the price of underlying asset obey an expanding Vesick model and a fractional jump-diffusions process respectively,this paper obtained the pricing formulas of European call option and the reset option with predetermined dates by means of the no-arbitrage theory and multivariable normal distribution.
Keywords:Reset option  stochastic rate  fractional Brownian motion  jump-diffusions
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