Convergence of the Explicit Difference Scheme and the Binomial Tree Method for American Options

Convergence of the Explicit Difference Scheme and the Binomial Tree Method for American Options

Year:    2004

Author:    Lishang Jiang, Min Dai

Journal of Computational Mathematics, Vol. 22 (2004), Iss. 3 : pp. 371–380

Abstract

This paper is concerned with numerical methods for American option pricing. We employ numerical analysis and the notion of viscosity solution to show uniform convergence of the explicit difference scheme and the binomial tree method. We also prove the existence and convergence of the optimal exercise boundaries in the above approximations.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2004-JCM-8857

Journal of Computational Mathematics, Vol. 22 (2004), Iss. 3 : pp. 371–380

Published online:    2004-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    10

Keywords:    American option Explicit difference Binomial tree method Convergence Numerical analysis Viscosity solution.

Author Details

Lishang Jiang

Min Dai