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巴黎期权定价问题的数值方法 被引量:6

NUMERICAL METHOD FOR PRICING PARISION OPTION
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摘要 The numerical method of pricing up-and-out call Parision Option based on the Black-Scholes model is focused in this article. The two-point compact scheme with second-order accuracy is used. A technique to remove the singularity of the pay-offf unction is used to make the result more accurate,more effective and more stable.The influence of the delaying time and the barrier on the option price is discussed. The numerical method of pricing up-and-out call Parision Option based on the Black-Scholes model is focused in this article. The two-point compact scheme with second-order accuracy is used. A technique to remove the singularity of the pay-off function is used to make the result more accurate,more effective and more stable. The influence of the delaying time and the barrier on the option price is discussed.
作者 罗俊 吴雄华
出处 《数值计算与计算机应用》 CSCD 北大核心 2004年第2期81-89,共9页 Journal on Numerical Methods and Computer Applications
关键词 巴黎期权 障碍期权 定价问题 数值方法 偏微分方程 parision option the delaying time two-point compact scheme
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参考文献7

  • 1Paul Wilmott, Derivatives-The Theory and Practice of Financial Engineering, John Wiley & Sons Ltd., England, (1998).
  • 2K.R. Vetzal and P.A. Forsyth , Discrete Parision and Delayed Barrier Options: A General Numerical Approach (1998).
  • 3Wu xionghua, Tan zhihai, Numerical Method with High-Order Accuracy for a kind of Nonlinear Singular Perturbation Problems, Chinese Journal of Numerical Mathematics and Applications,22:1 (2000) 17-21.
  • 4Y-K, Kwok, Mathematical Methods of Finacial Derivatives, Springer-Verlag, (1998).
  • 5Wilmott p., Pricing parision options, J.of Derivatives, 6:3 (1999) 71-79.
  • 6Youlan Zhu, Yingjun Sun, The singularity-separating method for two-factor convertible bonds, J.of Computational Finance, 3:1 (1999) 91-110.
  • 7Jiang, L, Dai, M., Convergeuce of binomial tree method for American options, In: Proceeding of the conference on P.D.E. and their applications, World Scientific, Singapore. 1999, 106, 118.

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