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半差分格式在支付交易费用的欧式看涨期权定价模型中的应用
引用本文:段国东,蒋建,牛成虎. 半差分格式在支付交易费用的欧式看涨期权定价模型中的应用[J]. 茂名学院学报, 2011, 21(4): 59-62
作者姓名:段国东  蒋建  牛成虎
作者单位:中国矿业大学理学院,江苏徐州,221008
摘    要:主要研究了带有交易费时的欧式看涨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。数值实例验证了该文方法的有效性。

关 键 词:期权定价模型  半差分  数值解  欧式看涨期权

Numerical Solution to European Call Option Pricing Model Transaction Costs by Semidiscretization Technique
DUAN Guo-dong,JIANG Jian,NIU Cheng-hu. Numerical Solution to European Call Option Pricing Model Transaction Costs by Semidiscretization Technique[J]. Journal of Maoming College, 2011, 21(4): 59-62
Authors:DUAN Guo-dong  JIANG Jian  NIU Cheng-hu
Affiliation:DUAN Guo-dong,JIANG Jian,NIU Cheng-hu(College of Science,China University of Mining and Technology,Xuzhou 221008,China)
Abstract:Numerical method of European call option pricing model with Transaction Costs was provided in this paper.Partial differential equation,which adopted fourth-order Lagrange interpolating polynomial to expand boundary values making all the neighbors mesh internal nodes in domain,was discredited by the semidiscretization technique.Numerical results coincide with the theoretical results.
Keywords:option price model  semidiscretization technique  numerical solution  European call option  
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