期刊文献+

带跳扩散的可提前到期的违约期权研究

The Study on the in Advance of Default Options with a Jump-Diffusion
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摘要 用偏微分方程的方法,研究子公司是否违约,对母公司的股票期权的定价的影响问题.在跳扩散的前提假设下,利用结构化方法,考虑当子公司违约时,母公司股票期权的可提前到期性,分时段进行分析,并给出了母公司期权定价的数学模型和解的表达式. In this paper, by the method of partial differential equation, we study the pricing problems of the stock option when the subsidiary corporation defaults. With. the jump-diffusion assumption, the acceleration of maturity of the option will be considered. The stock option of the time-interval has been analyzed by the structured form method. The mathematical model of the the stock option and the expression of the solution are obtained.
出处 《数学的实践与认识》 CSCD 北大核心 2011年第6期48-56,共9页 Mathematics in Practice and Theory
基金 国家重点基础研究发展计划(973计划)课题 上海师范大学原创与前瞻性预研项目(2007CB814903) 上海师范大学科研项目(S30405 SK200812) 上海市科委重大科技攻关项目(075105118) 上海市计算数学重点学科
关键词 股票期权 违约 PDE方法 stock option default PDE method
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参考文献4

  • 1Merton R. On the pricing of corporate debt:the risk structure of interest rates[J]. Journal of Finance, 1974, 29(2): 449-470.
  • 2Black F, Cox J C. Valuaing corporate securities: some effects of bond indenture provisions[J]. Journal of Finance, 1976, 31: 351-367.
  • 3Zhou C. A jump-diffusion approach to modelling credit risk and valuing defaultable securities[R/OL]. Finance and Economics Discussion Series 1997-15 / Board of Governors of the Federal Reserve Sys- tem (U.S.).
  • 4Hull J C. Options, Futures and Other Derivatives[M]. 4th ed. Beijing: Tsinghua University Press, 2001.

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