Black-Scholes Partial Differential Equation In The Mellin Transform Domain
Fadugba Sunday Emmanuel, Ogunrinde Roseline Bosede
Keywords: Black-Scholes Model, Black-Scholes Partial Differential Equation, Dividend Yield, European Option, Mellin Transform Method, Option
Abstract: This paper presents Black-Scholes partial differential equation in the Mellin transform domain. The Mellin transform method is one of the most popular methods for solving diffusion equations in many areas of science and technology. This method is a powerful tool used in the valuation of options. We extend the Mellin transform method proposed by Panini and Srivastav  to derive the price of European power put options with dividend yield. We also derive the fundamental valuation formula known as the Black-Scholes model using the convolution property of the Mellin transform method. 2010 Mathematics Subject Classification: 44A15, 60H30, 91G99
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