Block-pulse operational matrix method for solving fractional Black-Scholes equation
Abstract
Purpose
The purpose of this paper is to evaluate a European option using the fractional version of the Black-Scholes model.
Design/methodology/approach
In this paper, the authors employ the block-pulse operational matrix algorithm to approximate the solution of the fractional Black-Scholes equation with the initial condition for a European option pricing problem.
Findings
The fractional derivative will be described in the Caputo sense in this paper. The authors show the accuracy and computational efficiency of the proposed algorithm through some numerical examples.
Originality/value
This is the first paper that considers an alternative algorithm for pricing a European option using the fractional Black-Scholes model.
Keywords
Citation
Mehrdoust, F., Refahi Sheikhani, A.H., Mashoof, M. and Hasanzadeh, S. (2017), "Block-pulse operational matrix method for solving fractional Black-Scholes equation", Journal of Economic Studies, Vol. 44 No. 3, pp. 489-502. https://doi.org/10.1108/JES-05-2016-0107
Publisher
:Emerald Publishing Limited
Copyright © 2017, Emerald Publishing Limited