王伟, 苏小囡, 赵奇杰. 马尔可夫调制的跳扩散过程下远期生效看涨期权的定价[J]. 应用概率统计, 2014, 30(6): 585-597.
引用本文: 王伟, 苏小囡, 赵奇杰. 马尔可夫调制的跳扩散过程下远期生效看涨期权的定价[J]. 应用概率统计, 2014, 30(6): 585-597.
Wang Wei, Su Xiaonan, Zhao Qijie. Pricing Forward Starting Call Options under a Markov-Modulated Jump Diffusion Process[J]. Chinese Journal of Applied Probability and Statistics, 2014, 30(6): 585-597.
Citation: Wang Wei, Su Xiaonan, Zhao Qijie. Pricing Forward Starting Call Options under a Markov-Modulated Jump Diffusion Process[J]. Chinese Journal of Applied Probability and Statistics, 2014, 30(6): 585-597.

马尔可夫调制的跳扩散过程下远期生效看涨期权的定价

Pricing Forward Starting Call Options under a Markov-Modulated Jump Diffusion Process

  • 摘要: 本文研究了马尔可夫调制的跳扩散过程下远期生效看涨期权的定价问题. 在风险资产价格满足马尔可夫调制的跳扩散过程假定下, 通过测度变换及无套利定价原理得到了该模型下远期生效看涨期权的定价公式. 此外, 利用蒙特卡诺方法给出了期权价值的数值结果, 并比较了风险资产价格满足不同金融模型下远期生效看涨期权的价值差别.

     

    Abstract: The pricing problem of forward starting call options under a Markov-modulated jump diffusion process is studied. Under the assumption that the dynamics of risky asset follows a Markov-modulated jump diffusion process, the explicit analytical formula of forward starting call options is obtained by the change of measure and no arbitrage pricing theory. Moreover, the numerical results of option value are provided by the Monte Carlo method, and the value of forward starting call options is compared when the risky asset satisfies different financial models.

     

/

返回文章
返回