International Journal of Partial Differential Equations and Applications
ISSN (Print): 2376-9548 ISSN (Online): 2376-9556 Website: http://www.sciepub.com/journal/ijpdea Editor-in-chief: Mahammad Nurmammadov
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International Journal of Partial Differential Equations and Applications. 2016, 4(2), 20-24
DOI: 10.12691/ijpdea-4-2-1
Open AccessArticle

Fractional Black Scholes Option Pricing with Stochastic Arbitrage Return

Bright O. Osu1, and Chukwunezu A. Ifeoma2

1Department of Mathematics, Michael Okpara University of Agriculture, Umudike

2Department of Mathematics/Statistics, Federal Polytechnic, Nekede, Owerri

Pub. Date: August 18, 2016

Cite this paper:
Bright O. Osu and Chukwunezu A. Ifeoma. Fractional Black Scholes Option Pricing with Stochastic Arbitrage Return. International Journal of Partial Differential Equations and Applications. 2016; 4(2):20-24. doi: 10.12691/ijpdea-4-2-1

Abstract

Option price and random arbitrage returns change on different time scales allow the development of an asymptotic pricing theory involving the options rather than exact prices. The role that random arbitrage opportunities play in pricing financial derivatives can be determined. In this paper, we construct Green’s functions for terminal boundary value problems of the fractional Black-Scholes equation. We follow further an approach suggested in literature and focus on the pricing bands for options that account for random arbitrage opportunities and got similar result for the fractional Black- Scholes option pricing.

Keywords:
arbitrage returns option pricing green function FBS equation

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