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

DOI: 10.4236/oalib.1101466    1,158 Downloads   1,644 Views   Citations

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.

Conflicts of Interest

The authors declare no conflicts of interest.

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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