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分数次布朗运动环境中的有交易成本的上限型买权的期权定价 被引量:3

PRICING OF CAPPED CALLS WITH TRANSACTION COST IN FRACTIONAL BROWNIAN MOTION ENVIRONMENT
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摘要 本文在标的资产价格服从几何分数次布朗运动假设下,在无风险利率和红利率分别为常数和时间的非随机函数的条件下讨论了有交易成本的上限型买权的定价问题. Under the hypothesis that stock price submit to Geomtric Fractional Brownian Motion, we obtain the price of Capped Call with transaction cost respectively when the riskless interest rate and the dividend rate of the stock are constants or nonrandom functions of the time t.
出处 《经济数学》 2006年第2期140-145,共6页 Journal of Quantitative Economics
关键词 分数次布朗运动 交易成本 上限型买权 红利 fractional brownian motion, transaction cost, capped calls, dividend.
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参考文献5

  • 1Ducan, T. E., Y. Hu and B. Pasik- Ducn, Stochastic calculus for fractional Brownian motion, I. STAMJ. Control Optim, 38,582 - 612,2000.
  • 2Hu, Y. and B. ksendal, Fractional white noise calculus and application to Finance, Pure Mathematics (Department of mathematics, University of Oslo), 10 - 99,1999.
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  • 4Ciprian Necula, Option pricing in a Fractional Brownian motion Enuiroment, Preprint, Academy of Economic Studies Bucharest, Romania, www. dofin. Ase. ro/.
  • 5刘韶跃,杨向群.分数布朗运动环境中欧式未定权益的定价[J].应用概率统计,2004,20(4):429-434. 被引量:50

二级参考文献5

  • 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
  • 2Ducan, T.E., Y. Hu and B. Pasik-Ducan, Stochastic calculus for fractinal Brownian motion, I. SIAMJ. Control Optim.,38(2000), 582-612.
  • 3Hu, Y. and B. Oksendal, Fractional white noise calculus and application to finance, Inf. Dim. Anal. Quantum Prob.Rel. Top., 6(2003), 1-32.
  • 4Lin, S.J., Stochastic analysis of fractional Brownian motion, fractional noises and application, SIAM Review,10(1995), 422-437.
  • 5Ciprian Necula, Option Pricing in a Fractional Brownian Motion Enviroment, Preprint, Academy of Economic Studies Bucharest, Romania, www.dofin.ase.ro/.

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