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多个分数次布朗运动影响时的混合期权定价 被引量:7

Pricing of Compound Option Driven by Multi Fractional Brownian Motions
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摘要 在基础标的资产价格受多个分数次布朗运动影响的条件下,分别在无红利支付和有红利支付且无风险利率r(t)及红利率δ(t)为非随机函数的情况下求出了各种混合期权的定价公式。 Under the hypothesis of underying asset price Driven by multi Fractional Brownian Motions, we obtain the price of Compound option respectively when the asset has not dividen-paying or has dividen-paying even riskless interest rate r and dividend rate δare nonrandom functions of the time t.
出处 《系统工程》 CSCD 北大核心 2005年第6期110-114,共5页 Systems Engineering
基金 国家自然科学基金资助项目(10271020) 湖南省青年骨干教师培养经费资助项目
关键词 分数次布朗运动 混合期权 红利 Fractional Brownian Motion Compound Option Dividend
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  • 1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
  • 2[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. 被引量:1
  • 3[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. 被引量:1
  • 4[3]Lin, S. J. , Stochastic analysis of fractional Brownian motion, fractional noises and application, SIAM Review, 10(1997),422-437, 1995. 被引量:1
  • 5[4]Ciprian Necula, Option pricing in a Fractional Brownian Motion Enviroment, Preprint, Academy of Economic Studies Bucharest, Romania, WWW. dofin. ase. ro/. 被引量:1
  • 6Ducan, T.E., Y. Hu and B. Pasik-Ducan, Stochastic calculus for fractinal Brownian motion, I. SIAMJ. Control Optim.,38(2000), 582-612. 被引量:2
  • 7Hu, Y. and B. Oksendal, Fractional white noise calculus and application to finance, Inf. Dim. Anal. Quantum Prob.Rel. Top., 6(2003), 1-32. 被引量:2
  • 8Lin, S.J., Stochastic analysis of fractional Brownian motion, fractional noises and application, SIAM Review,10(1995), 422-437. 被引量:1
  • 9Ciprian Necula, Option Pricing in a Fractional Brownian Motion Enviroment, Preprint, Academy of Economic Studies Bucharest, Romania, www.dofin.ase.ro/. 被引量:2

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