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支付红利的美式看涨期权定价的数值方法 被引量:4

A numerical method of pricing for American call options on dividend-paying stock
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摘要 作者针对基于支付红利股票的美式看涨期权定价问题,提出了相应的隐式差分格式解法,然后利用极值原理分析了差分解的稳定性和收敛性.数值实验证明了方法的有效性. This paper aims at the pricing problem for American call-options on dividend-paying stock. First, the authors present a corresponding implicit difference scheme for the approximate solution. Second, by using the extremum principle they analyze stability and convergence of the scheme. The numerical experiment shows that this method is efficient.
作者 杨垚 胡兵
出处 《四川大学学报(自然科学版)》 CAS CSCD 北大核心 2008年第4期757-760,共4页 Journal of Sichuan University(Natural Science Edition)
基金 国家自然科学基金(10771150)
关键词 美式看涨期权 红利 极值原理 稳定性 收敛性 American call-options, dividend, extremum principle, stability, convergence
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参考文献7

  • 1Black F, Scholes M. The pricing of options and corporate liabilities[J]. J Pol Econ, 1973, 81: 637.
  • 2Hull J. Option, future and other derivative securities [M]. 2nd Ed. Englewood Cliffs: Prentice Hall, 1993.
  • 3Allegretto W, Lin Y, Yang H. A fast and highly accurate numerical method for the evaluation of American options [J]. Application & Algorithms, 2001, 8: 127.
  • 4Crank J, Free and moving boundary problems [ M].London: Oxford University Press, 1984.
  • 5李莉英,张燚.一种基于支付红利股票的美式期权定价方法[J].重庆交通学院学报,2005,24(2):148-150. 被引量:5
  • 6张铁,李明辉.求解股票期权定价问题的差分方法[J].东北大学学报(自然科学版),2004,25(2):190-193. 被引量:6
  • 7约翰·赫尔,张陶伟.期权、期货和其它衍生产品[M].3版.北京:华夏出版社,2000.

二级参考文献13

  • 1Allegretto W, lin Y and Yang H. A Fast and Highly Accurate Numerical Method for the Evaluation of American Options[J]. Applications & Algorithms, 2001, (8):127-138.
  • 2Bunch D S, Johnson H. The American put option and its critical stock price[J]. Journal of Finance, 2000, (5) : 2333-2356.
  • 3Black F, Scholes M. The pricing of options and corporate liabilities[J]. J Pol Econ, 1973,81:637-659.
  • 4Hull J. Option, futures and other derivative securities[M]. Second Edition. Englewood Cliffs: Prentice Hall, 1993.84-105.
  • 5Wilmott P, Dewynne J, Howison S. Option pricing: mathematical model and computation[M]. London: Oxford Financial Press, 1995.134-156.
  • 6Elliott C, Ockendon J. Weak and variational methods for free and moving boundary problems[M]. London: Pitman Publishing, 1982.34-48.
  • 7Eaves B. On the basic theorem of complementarity[J]. Mathematical Programming, 1971,(1):68-75.
  • 8Fukushima. A relaxed projection method for variational inequalities[J]. Mathematical Programming, 1986,(35):58-70.
  • 9Gemmill G. Options pricing[M]. New York: McGraw-Hill, 1992.203-245.
  • 10Crank J. Free and moving boundary problems[M]. London: Oxford University Press, 1984.89-123.

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