期刊信息

  • 刊名: 河北师范大学学报(自然科学版)Journal of Hebei Normal University (Natural Science)
  • 主办: 河北师范大学
  • ISSN: 1000-5854
  • CN: 13-1061/N
  • 中国科技核心期刊
  • 中国期刊方阵入选期刊
  • 中国高校优秀科技期刊
  • 华北优秀期刊
  • 河北省优秀科技期刊

带有信用风险的远期起点期权定价

  • 河北师范大学 数学与信息科学学院, 河北 石家庄 050024
  • DOI: 10.13763/j.cnki.jhebnu.nse.2018.01.001

Pricing of Forward-start Options with Default Risks

摘要/Abstract

摘要:

远期起点期权是一种路径依赖型期权,由于它具有远期开始的性质,因此受到投资者的关注,给该期权进行合理定价具有重要意义.首先建立有多个扩散源的标的资产价格过程和承约方资产价格过程的随机微分方程,然后通过测度变换的方法推导出了带有信用风险的远期起点期权的定价公式,推广了以前的相关结果.

Abstract:

Forward-start options are path dependent options.Investors pay attention to forward-start options because of the characteristic of the forward start.Therefore,it is greatly significant to get a reasonable price for this options.In this paper,we firstly establish stochastic differential equations of underlying asset price processes and counterparty asset price processes with multiple diffusion sources.And then,by using the method of measure transformation we deduce the pricing formulas of forward-start options with default risks.What's more,we extend the previous results.

参考文献 8

  • [1] PETER G Z.Exotic Options[M].北京:机械工业出版社,2014:123-127.
  • [2] AMERIO E.Forward Start Option Pricing with Stochastic Volatility:A General Framework[C]//Financial Engineering and Applications:Proceedings of the Fourth IASTED International Conference.Calgary:Acta Press,2007:44-53.doi:10.1007/s13385-017-0158-y
  • [3] 杨建奇,肖庆宪.随机跳环境下远期起点期权的近似定价[J].山西大学学报(自然科学版),2008,31(4):504-507.doi:10.13451/j.cnki.shanxi.univ(nat.sci.).2008.04.042
  • [4] 王献东.基于EGARCH模型的远期开始期权定价[J].合肥工业大学学报(自然科学版),2012,35(8):1130-1133.doi:1003-5060/(2012)08-1130-04
  • [5] MERTON R.On the Pricing of Corporate Debt:The Risk Structure of Interest Rates[J].Journal of Finance,1974,29(2):449-470.doi:1111/j.1540-6261.1974.tb03058.x.Source:RePEc
  • [6] 刘蕊蕊,徐云.考虑信用风险的亚式期权定价[J].数学理论与应用,2010,30(3):63-67.
  • [7] 王博,刘金山.含信用风险的障碍期权的定价[D].武汉:华中科技大学,2007.
  • [8] FIMA C K.Introduction to Stochastic Calculus with Applications[M].北京:人民邮电出版社,2008:267-280.doi:10.1142/p110