期刊文献+

波动率服从马尔可夫链的期权定价 被引量:2

The Pricing of Option with Stochastic Volatility Following Markov Chain
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摘要 对服从马尔可夫链的波动率进行分析 ,通过二叉树方法计算美式期权的价值 ,避免复杂的随机波动率模型 ,改进了常数波动率的结果 ,获得与真实结果比较接近的数值解。 In this paper, by analyzing the stochastic volatility following the Markov chain, the valuation of American option based on binomial probability tree was given, that improved the results of constant volatility model, and got the closer result to the real price
出处 《现代电子技术》 2005年第2期31-33,共3页 Modern Electronics Technique
关键词 随机波动率 MARKOV链 二叉树 停时 stochastic volatility Markov chain binomial probability tree time stop
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参考文献4

  • 1Hull J C, White A. The Pricing of Option on Assets with Stochastic Volatility [J]. Journal of Finance, 1987, 42:281-300.
  • 2Herzel S. Option Pricing with Stochastic Volatility Models [J]. Decision in Economics and Finance, 2000, 23: 75-99.
  • 3Karatzas I, Shreve S. Brown Motion and Stochastic Calculus, Springer-verlag [M] .Second Edition, New York, 1991.
  • 4Herzel S. A Simple Model for Option Pricing with Jumping Stochastic Volatility [J] .International Journal of Theoretical and Applied Finace, 1998, 1:487-505.

同被引文献21

  • 1李玉立,金朝嵩.美式看跌期权定价的差分格式[J].重庆建筑大学学报,2004,26(4):110-114. 被引量:12
  • 2Joseph Stampfli, Victor Goodman,蔡明超.金融数学[M].北京:机械工业出版社,2004.
  • 3叶中行 林建忠.数理金融[M].北京:科学出版社,1998.67.
  • 4Zhu Songping, Zhang Jin. A new predictor-correctorscheme for valuing American puts[J]. Applied Mathe- matics and Computation. 2011,217(4): 439-452.
  • 5Tangman D Y, Gopaul A, Bhuruth M. A fast high-order finite difference algorithm for pricing American options [J]. Journal of Computational and Applied Mathematics, 2008, 222: 17-29.
  • 6Kwok Y k. Mathematical model of financial deriva- tives[M]. Singapore: springer, 1998: 230-239.
  • 7JohnCHull.张陶伟,译.期权,期货和其他衍生产品(第三版)[M].北京:华夏出版社,2000:98-99.
  • 8HullJC.期权,期货和其他衍生产品[M].北京:华夏出版社,1998:104-108.
  • 9Chen Guo. Option Pricing with Stochastic Volatility Following a Finite Markov[J].International Review of Economics and Finance,1998,(04).
  • 10Herzel S. Option Pricing with Stochastic Volatility Models[J].Journal of Finance,1987.42.

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