University Links: Home Page | Site Map
Covenant University Repository

CONSTRUCTION OF ANALYTICAL SOLUTIONS TO THE BLACK-SCHOLES OPTION VALUATION MODEL BY MEANS OF HE’S POLYNOMIALS TECHNIQU

Edeki, S.O. and Ugbebor, Olabisi O. and Owoloko, E. A. (2017) CONSTRUCTION OF ANALYTICAL SOLUTIONS TO THE BLACK-SCHOLES OPTION VALUATION MODEL BY MEANS OF HE’S POLYNOMIALS TECHNIQU. IAENG Transactions on Engineering Sciences. pp. 45-53.

[img] PDF
Download (208kB)

Abstract

In this paper, a semi-analytical method referred to as He’s Polynomials Technique (HPT) is proposed for solving the classical Black-Scholes pricing model with stock as the underlying asset. The proposed method gives the exact solution of the solved problem in a very simple and quick manner even with less computational work while still maintaining high level of accuracy. Hence, we recommend an extension and adoption of this method for solving problems arising in other areas of financial engineering, finance, and applied sciences.

Item Type: Article
Uncontrolled Keywords: Analytical solutions  Black-Scholes model  He’s polynomials  stock option valuation
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Engineering, Science and Mathematics > School of Mathematics
Depositing User: Mrs Patricia Nwokealisi
Date Deposited: 30 May 2022 14:00
Last Modified: 30 May 2022 14:00
URI: http://eprints.covenantuniversity.edu.ng/id/eprint/15907

Actions (login required)

View Item View Item