Alternative Approach for the Solution of the Black-Scholes Partial Differential Equation for European Call Option

Adedoyin Olayinka  Ajayi; Sunday Emmanuel  Fadugba

doi:10.4236/oalib.1101466

Sunday Emmanuel Fadugba, Adedoyin Olayinka Ajayi

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.

Keywords: Black-Scholes Partial Differential Equation, Dividend Yield, European Call Option, Modified Mellin Transform Method

Cite this paper: Fadugba, S. and Ajayi, A. (2015) Alternative Approach for the Solution of the Black-Scholes Partial Differential Equation for European Call Option. Open Access Library Journal, 2, 1-8. doi: 10.4236/oalib.1101466.

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