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跳扩散模型中的测度变换与期权定价 被引量:28

Changes of Probability Measure and Options Pricing in Jump-Diffusion Models
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摘要 本文研究在跳扩散模型中概率测度的变换对于期权定价的影响.通过选取不同的记价单位以及相应的概率测度,简化了期权定价中一些复杂的理论,得到了在具有随机利率的跳扩散模型中欧式期权的定价公式以及关于跳扩散模型中交换期权、亚式期权等新型期权的定性、定解性质. This paper studies the relation between changes of probability measure and option pricing in a jump-diffusion model. By choosing different numeraire and corresponding probability measure, we give the formula of European options in a stochastic interest rate framework and get some results about exchange options and Asian options in jump-diffusion models.
作者 钱晓松
机构地区 同济大学数学所
出处 《应用概率统计》 CSCD 北大核心 2004年第1期91-99,共9页 Chinese Journal of Applied Probability and Statistics
基金 国家自然科学基金资助项目(No.10171078).
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参考文献10

  • 1Bjōrk, T., Interest Rate Theory, Financial Mathematics: Lectures given at the 3rd session of C.I.M.E. held in Bressamone, Italy, 1996, Springer-Verlag, Berlin Heideberg, 1997.
  • 2Chan, T., Pricing contingent claims on stocks driven by Lévy process, Annals of Applied Probability, 9(1999), 504-528.
  • 3Fōllmer, H. & Schweizer, M., Hedging of Contingent Claims under Incomplete Information, Gordon and Breach, NewYork, 1991.
  • 4Geman, H. & El Karoni, N. & Rocher, J.C., Changes of numeraire, changes of probability and option pricing, Journal of Applied probability, 32(1995), 443-458.
  • 5Harrison, J.M. & Kreps, D., Martingales and arbitrage in multiperiod securites markets, Journal of Economic Theory,20(1979), 381-408.
  • 6He, S. & Wang, J. & Yan, J., Semimatingale and Stochastic Calculus, CRC Press, Baca Batoa, 1992.
  • 7Jacod, J., Calcul stochastique et problèmes de matingales, Letures Notes in Mathematics, 714, Springer-Verlay,Berlin, 1979.
  • 8Jamshidian, F., An exact bond option formula, Journal of Finance, 44(1989), 205-209.
  • 9Merton, R., Option pricing when the underlying stock returns are discountinuous, Journal of Financial Economics,3(1976), 125-144.
  • 10Vecer, J., Unified Asian Option Pricing, Risk, June 2002, 113-116.

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