A Study on Numerical Solution of Black-Scholes Model

Abstract

In the history of option pricing, Black-Scholes model is one of the most significant models. In this article, the main concern is the numerical solution of the Black-Scholes model (a.k.a. Black/Scholes/Merton) for the European call option in a different way. The model is described and an explicit difference scheme was used for the numerical approximation. The stability condition of the scheme is established through convex combination. A different way was used to obtain the numerical value of the model. Estimation of the relative error was calculated in L 1-norm in order to test the accuracy of the scheme. Finally , a comparison of the numerical outcomes with the value obtained by another scheme is given.