Journal of Computational Finance

Exercise boundaries and efficient approximations to American option prices and hedge parameters

Farid AitSahlia, Tze Leung Lai


This paper presents a new numerical method to solve the integral equation defining the early exercise boundary of an American option. It is shown that the early exercise boundaries of standard American options are well approximated by linear splines with a few knots, implying that the new solution method can actually be carried out on a coarse grid of time points with reasonable accuracy. This leads to a fast and reasonably accurate method to compute the early exercise boundaries, values, and hedge parameters of American options. In this connection, a brief survey of recent developments in approximations to American option prices and hedge parameters are also given.

Sorry, our subscription options are not loading right now

Please try again later. Get in touch with our customer services team if this issue persists.

New to View our subscription options

You need to sign in to use this feature. If you don’t have a account, please register for a trial.

Sign in
You are currently on corporate access.

To use this feature you will need an individual account. If you have one already please sign in.

Sign in.

Alternatively you can request an individual account here