TITLE:
Alternative Approach for the Solution of the Black-Scholes Partial Differential Equation for European Call Option
AUTHORS:
Sunday Emmanuel Fadugba, Adedoyin Olayinka Ajayi
KEYWORDS:
Black-Scholes Partial Differential Equation, Dividend Yield, European Call Option, Modified Mellin Transform Method
JOURNAL NAME:
Open Access Library Journal,
Vol.2 No.4,
April
17,
2015
ABSTRACT: In this paper we present an alternative approach for the solution of the
Black-Scholes partial differential equation for European call option which pays
dividend yield using the modified Mellin transform method. The approach used in
this paper does not require variables transformation. We also extend the
modified Mellin transform method for the valuation of European call option
which pays dividend yield. The numerical results show that the modified Mellin
transform is accurate, mutually consistent and agrees with the values of the
Black-Scholes model.