Optimal exercise boundary for an American put option

1 June 1998

journal article
research article
Published by Taylor & Francis in Applied Mathematical Finance

Vol. 5 (2) , 107-116
https://doi.org/10.1080/135048698334673

Abstract

The optimal exercise boundary near the expiration time is determined for an American put option. It is obtained by using Green's theorem to convert the boundary value problem for the price of the option into an integral equation for the optimal exercise boundary. This integral equation is solved asymptotically for small values of the time to expiration. The leading term in the asymptotic solution is the result of Barles et al. An asymptotic solution for the option price is obtained also.

Keywords

This publication has 4 references indexed in Scilit:

CRITICAL STOCK PRICE NEAR EXPIRATION
Mathematical Finance, 1995
Approximations for the values of american options
Stochastic Analysis and Applications, 1991
The Analytic Valuation of American Options
The Review of Financial Studies, 1990
On optimal stopping and free boundary problems
Archive for Rational Mechanics and Analysis, 1976