A Numerical Method for Determining the Optimal Exercise Price to American Options

A Numerical Method for Determining the Optimal Exercise Price to American Options

Year:    2003

Author:    Xiong-Hua Wu, Xiu-Juan Feng

Journal of Computational Mathematics, Vol. 21 (2003), Iss. 3 : pp. 305–310

Abstract

American options can be exercised prior to the date of expiration, the valuation of American options then constitutes a free boundary value problem. How to determine the free boundary, i.e. the optimal exercise price, is a key problem. In this paper, a nonlinear equation is given. The free boundary can be obtained by solving the nonlinear equation and the numerical results are better.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2003-JCM-10258

Journal of Computational Mathematics, Vol. 21 (2003), Iss. 3 : pp. 305–310

Published online:    2003-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    6

Keywords:    American options Free boundary Optimal exercise price Nonlinear equation.

Author Details

Xiong-Hua Wu

Xiu-Juan Feng