期刊文献+

基于半差分格式的美式看跌期权定价模型数值解法

Numerical Solution of American Put Option Pricing Model with Semi-discretization Technique
下载PDF
导出
摘要 主要研究了美式看跌期权定价模型的一种数值解法,利用半差分技术对已构造的偏微分方程做离散处理,并引入四阶Lagrange插值多项式对边界进行拓展,使得所有网格点均在离散域中,数值实例验证了方法的有效性。 Numerical method of American output option pricing model is provided.Partial differential equation which adopted fourth-order Lagrange interpolating polynomial to expand boundary values in order to making all the neighbors mesh internal nodes in domain was discredited by the semi-discretization technique.Numerical results coincide with the theoretical results.
出处 《四川理工学院学报(自然科学版)》 CAS 2011年第4期380-382,共3页 Journal of Sichuan University of Science & Engineering(Natural Science Edition)
基金 中央高校基本科研业务费专项资金(2010LKSX03)
关键词 期权定价 半差分 美式看跌期权 数值解 option price semi-discretization technique American put option numerical solution
  • 相关文献

参考文献7

二级参考文献19

  • 1吴志刚,金朝嵩.标的股价服从混合过程的期权定价公式及有限元算法[J].经济数学,2002,19(2):28-31. 被引量:6
  • 2BLACK F, SCHOLES M. The pricing of options and corporate liabilities [ J ]. Journal of Political Economy, 1973,81 ( 7 ) : 637 -659.
  • 3HULL J. Options Futures and Other Derivatives[ M]. Prentice - Hall. 1997. 143 - 159,369 - 397.
  • 4WILMOTr P, HOWYNNE S. The Mathematics of Financial Derivatives [ M]. London: Cambridge University Press. 1995.58 - 67.
  • 5MERTON R C. Theory of rational option prlcing[J]. Bell J. Econom. Managen. Sci., 1973(4) :141 - 183.
  • 6HEMANTHA S B, CHAN S P. Economic analysis of R&D projects: an options approach [ J ]. The Engineering Economist, 1999,44(1):1-35.
  • 7CARR P. The valuation of sequential exchange opportunities [ J ]. Journal of Economics, 1998,103 (3) :479 -508.
  • 8Black, F., Scholes, M., The pricing of options and corporate liabilities. Journal of Political Economy, 1973,81 : 635 - 654.
  • 9Merton, R. C. ,Theory of rational option pricing. Bell Journal of Economy and Management Science, 1973, (4) : 141 - 183.
  • 10Shiryaev, A. N,, Kabanov, Y. U. M., Kramkov, D. O., Melnikov, A.V., Toward the theory of pricing of options of both European and American types. II . continuous time. Theory Probab. Appl., 1994,39( 1 ):61 - 102.

共引文献34

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部