吉林大学学报(理学版) ›› 2021, Vol. 59 ›› Issue (5): 1089-1092.

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Blac-Scholes模型下美式期权定价的神经网络算法

宋海明, 侯頔   

  1. 吉林大学 数学学院, 长春 130012
  • 收稿日期:2021-05-25 出版日期:2021-09-26 发布日期:2021-09-26
  • 通讯作者: 侯頔 E-mail:houying1018@mails.jlu.edu.cn

Neural Network Algorithm for American Option Pricing under Black-Scholes Model

SONG Haiming, HOU Di   

  1. College of Mathematics, Jilin University, Changchun 130012, China
  • Received:2021-05-25 Online:2021-09-26 Published:2021-09-26

摘要: 考虑Black-Scholes模型下的美式看跌期权定价问题. 首先, 基于Black-Scholes模型, 设计一种针对该模型的神经网络算法, 并给出美式期权价格的数值近似; 其次, 通过与传统的二叉树方法对比, 证明该算法的有效性.

关键词: Black-Scholes模型, 美式看跌期权, 深度神经网络

Abstract: We considered the American put option pricing problem under Black-Scholes model. Firstly, based on the Black-Scholes model, we designed a neural network algorithm for the model, and gave the numerical approximation of the American option price. Secondly, the effectiveness of the algorithm was proved by comparing with the traditional binomial tree method.

Key words: Black-Scholes model, American put option, deep neural network

中图分类号: 

  • O241.8