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具有固定敲定价格的算术平均亚式期权的计算 被引量:2

Approximation for Pricing Arithmetic Average Asian Options with Fixed Strike Price
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摘要 本文研究算术平均的欧式亚式期权.我们将充分利用偏微分方程的Fichera理论和边值问题的定解理论,求出了一个简单的近似解析表达式.经实际数据验算,有较满意的逼近结果,特别地,在部分区域内的计算效果好于文章[1]. This paper studies the pricing continuously sampled arithmetic average Asian options with fixed strike price. We derive an analytical approximate formula by using the Fich 6 ra theory in PDE. The accuracy can be examined by some real data and the result is satisfied. Especially, in certain region, our result is more accurate than the one in article [1].
出处 《应用数学与计算数学学报》 2004年第2期8-14,共7页 Communication on Applied Mathematics and Computation
基金 本课题由上海市教育委员会E-研究院建设计划项目E03004国家自然基金项目NSF10371088资助.
关键词 算术平均 亚式期权 偏微分方程 近似解 边值问题 逼近 解析表达式 定价 价格 区域内 Asian options, boundary value problem of partial differential equation of parabolic type, analytical approximate formula
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参考文献18

  • 1姜礼尚..期权定价的数学模型和方法[M],2003.
  • 2Jin E.Zhang. A semi-analytical method for pricing and hedging continuously sampled arithmetic average rate options. Journal of Computational Finance, 2001, 5(1): 59-79. 被引量:1
  • 3Carverhill, A., L.Clewlow. Flexible convolution. Risk, 5(4): 25-29. 被引量:1
  • 4Rogers, L., Z. Shi. The value of an Asian option. Journal of Applied Probability, 32: 1077-1088. 被引量:1
  • 5Turnbull, S., L. Wakeman. A quick algorithm for pricing European average options. Journal of Financial and Quantitative Analysis, 26: 377-389. 被引量:1
  • 6Levy, E., S. Turnbull. Average intelligence. Risk, 5(2): 5-9. 被引量:1
  • 7Geman, H., M. Yor. Bessel process, Asian options, and perpetuities. Mathematical Finance,3(4): 349-75. 被引量:1
  • 8Bouaziz, L., E. Briys, M. Crouhy. The pricing of forward starting Asian options. Journal of Banking and Finance, 18: 823-839. 被引量:1
  • 9Chalasani, P., S. Jha, A. Varikooty. Accurate approximation for European-style Asian options.Journal of Computational Finance, 1(4): 11-30. 被引量:1
  • 10Thompson, G. W. P. Fast narrow bounds on the value of Asian options, Working Paper, Centre for Financial Research, Judge Institute of Management Science, University of Cambridge. 被引量:1

同被引文献22

  • 1马俊海,张维,刘凤琴.期权定价的蒙特卡罗模拟综合性方差减少技术[J].管理科学学报,2005,8(4):68-73. 被引量:17
  • 2刘海媛.几何亚式期权价格敏感性参数估计[J].徐州工程学院学报,2006,21(3):44-49. 被引量:5
  • 3[1]Zhang Jin E..Pricing Continuously Sampled Asian Options with Perturbation method.The Journal of Futures Market,2003;23(6):535-560 被引量:1
  • 4[3]Kemna A G Z,Vorst A C F.A pricing method for options based on average asset values.Journal of Banking and Finance,1990;14:113-129 被引量:1
  • 5[4]Carverhill A,Clewlow L.Flexible convolution.Risk.1992;5(4):25-29 被引量:1
  • 6[5]Rogers L,Shi Z.The value of an Asian option.Journal of Applied Probability.1991;32:1077-1088 被引量:1
  • 7[6]Turnbull S,Wakeman L.A quick algorithm for pricing European average options.Journal of Financial and Quantitative Analysis.1991;1(26):377-389 被引量:1
  • 8[7]Levy E,Turnbull S.Average intelligence.Risk.1992;5:53-59 被引量:1
  • 9[8]German H,Yor M.Bessel process,Asian options,and perpetuities.Mathematical Finance.1992;3:349-375 被引量:1
  • 10[9]Bouaziz L,Briys E,Crouhy M.The pricing of forward starting Asian options.Journal of Banking and Finance.1995;18:823-839 被引量:1

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