期刊文献+

分数布朗运动环境中混合期权定价 被引量:18

Pricing of Compound Option in a Fractional Brownian Motion Environment
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摘要 本文在基本标的资产价格服从几何分数布朗运动且其波动率为常数的假设下,在基础标的资产有红利支付且无风险利率和红利率为非随机函数时求出了各种混合期权的定价公式。 Under the hypothesis of underlying asset price obeying the Geometric Fractional Brownian Motion and volatility is constant, we obtain the prices of Compound options respectively when the asset has dividend-paying and risk-free interest rate and dividends rate are the non-random functions.
出处 《工程数学学报》 CSCD 北大核心 2006年第1期153-157,共5页 Chinese Journal of Engineering Mathematics
基金 国家自然科学基金(10271020) 高校博士点专项科研基金(20040542006) 湖南省青年骨干教师培养经费资助
关键词 分数布朗运动 混合期权 红利 fractional Brownian motion compound option dividend
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参考文献6

  • 1Ducan T E,Hu Y,Pasik-Ducan B.Stochastic calculus for fractinal Brownian motion[J].SIAM J Control Optim,2000,38:582-612.
  • 2Hu Y,Oksendal B.Fractional white noise calculus and application to finance[J].Inf Dim Anal Quantum Probab Rel Top,2003,6:1-32.
  • 3Ciprian Necula.Option pricing in a fractional brownian motion enviroment[R/L].Preprint,Academy of Economic Studies Bucharest,Romania,www.dofin.ase.ro/.
  • 4刘韶跃,杨向群.分数布朗运动环境中标的资产有红利支付的欧式期权定价[J].经济数学,2002(4):35-39. 被引量:32
  • 5陈松男.金融工程学[M].上海:复旦大学出版社,2000.151-161.
  • 6Lin S J.Stochastic analysis of fractional Brownian motion,fractional noises and application[J].SIAM Review,1995,10:422-437.

二级参考文献4

  • 1[1]Duncan, T. E. , Y. Hu and B. Pasik-Duncan, Stochastic calculus for fractional Brownian motion, I.Theory, SIAM J. Control Optim. 38(2000), 582-612.
  • 2[2]Hu, Y. and B. Oksendal., Fractional white noise calculus and application to finance. Pure Mathematics(Department of Mathematics, University of Oslo, (ISBN 0806-2439), 1999, 10- 99.
  • 3[3]Lin, S. J. , Stochastic analysis of fractional Brownian motion, fractional noises and application, SIAM Review, 10(1997),422-437, 1995.
  • 4[4]Ciprian Necula, Option pricing in a Fractional Brownian Motion Enviroment, Preprint, Academy of Economic Studies Bucharest, Romania, WWW. dofin. ase. ro/.

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引证文献18

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