- Journal Home
- Volume 37 - 2024
- Volume 36 - 2023
- Volume 35 - 2022
- Volume 34 - 2021
- Volume 33 - 2020
- Volume 32 - 2019
- Volume 31 - 2018
- Volume 30 - 2017
- Volume 29 - 2016
- Volume 28 - 2015
- Volume 27 - 2014
- Volume 26 - 2013
- Volume 25 - 2012
- Volume 24 - 2011
- Volume 23 - 2010
- Volume 22 - 2009
- Volume 21 - 2008
- Volume 20 - 2007
- Volume 19 - 2006
- Volume 18 - 2005
- Volume 17 - 2004
- Volume 16 - 2003
- Volume 15 - 2002
- Volume 14 - 2001
- Volume 13 - 2000
- Volume 12 - 1999
- Volume 11 - 1998
- Volume 10 - 1997
- Volume 9 - 1996
- Volume 8 - 1995
- Volume 7 - 1994
- Volume 6 - 1993
- Volume 5 - 1992
- Volume 4 - 1991
- Volume 3 - 1990
- Volume 2 - 1989
- Volume 1 - 1988
Cited by
- BibTex
- RIS
- TXT
Option pricing is a major problem in quantitative finance. The Black-Scholes model proves to be an effective model for the pricing of options. In this paper a computational method known as the modified differential transform method has been employed to obtain the series solution of Black-Scholes equation with boundary conditions for European call and put options paying continuous dividends. The proposed method does not need discretization to find out the solution and thus the computational work is reduced considerably. The results are plotted graphically to establish the accuracy and efficacy of the proposed method.
}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v36.n4.4}, url = {http://global-sci.org/intro/article_detail/jpde/22135.html} }Option pricing is a major problem in quantitative finance. The Black-Scholes model proves to be an effective model for the pricing of options. In this paper a computational method known as the modified differential transform method has been employed to obtain the series solution of Black-Scholes equation with boundary conditions for European call and put options paying continuous dividends. The proposed method does not need discretization to find out the solution and thus the computational work is reduced considerably. The results are plotted graphically to establish the accuracy and efficacy of the proposed method.