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Coupled transform method for time-space fractional Black-Scholes option pricing model

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2020

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Abstract

This paper presents analytical solutions of a time-space-fractional Black-Scholes model (TSFBSM) using a coupled technique referred to as Fractional Complex Transform (FCT) with the aid of a modified differential transform method. The nature of the derivatives is in the sense of Jumarie. The considered cases and applications show more consistency of the TSFBSM with an actual integer and fractional data when compared with the classical Black-Scholes model. The method is noted to be very effective, even with little knowledge of fractional calculus. Extension of this to multi-factor models formulated in terms of stochastic dynamics is highly recommended. (C) 2020 The Authors. Published by Elsevier B.V. on behalf of Faculty of Engineering, Alexandria University.

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Option Pricing, Black Scholes Model, RDTM, Fractional Derivative, Analytical Solutions

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Citation

Edeki, S. O...et al. (2020). "Coupled transform method for time-space fractional Black-Scholes option pricing model", Alexandria Engineering Journal, Vol. 59, No. 5, pp. 3239-3246.

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Alexandria Engineering Journal

Volume

59

Issue

5

Start Page

3239

End Page

3246