On the Solution of the Black-Scholes Equation Using Feed-Forward Neural Networks

被引:11
作者
Eskiizmirliler, Saadet [1 ]
Gunel, Korhan [2 ]
Polat, Refet [1 ]
机构
[1] Yasar Univ, Dept Math, Izmir, Turkey
[2] Adnan Menderes Univ, Dept Math, Aydin, Turkey
关键词
Black– Scholes equation; Option pricing; Neural networks; Particle swarm optimization; Gradient descent; MODEL; OPTIONS;
D O I
10.1007/s10614-020-10070-w
中图分类号
F [经济];
学科分类号
02 ;
摘要
This paper deals with a comparative numerical analysis of the Black-Scholes equation for the value of a European call option. Artificial neural networks are used for the numerical solution to this problem. According to this method, we approximate the unknown function of the option value using a trial function, which depends on a neural network solution and satisfies the given boundary conditions of the Black-Scholes equation. We consider some optimization methods, not examined in the standard literature, such as particle swarm optimization and the gradient-type monotone iteration process, to obtain the unknown parameters of the neural network. Numerical results show that this proposed version of neural network method obtains all data from the terminal value and boundary conditions with sufficient accuracy.
引用
收藏
页码:915 / 941
页数:27
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