International Journal of Economics and Finance
An Integral Equation Method with High-Order Collocation Implementations for Pricing American Put Options
Abstract
The aim of this paper is to solve a free boundary problem arising in pricing American put options. It is known that the free boundary (optimal exercise boundary) satisfies a “nonstandard” Volterra integral equation. This Volterra integral equation is resolved by a high-order collocation method based on graded meshes. With the computed free boundary, a Black-Scholes equation for pricing the American put options is solved by a moving mesh method. Numerical examples are provided to confirm the efficiency of the approach.
This work is licensed under a Creative Commons Attribution 3.0 License.
International Journal of Economics and Finance ISSN 1916-971X (Print) ISSN 1916-9728 (Online)
Copyright © Canadian Center of Science and Education
To make sure that you can receive messages from us, please add the 'ccsenet.org' domain to your e-mail 'safe list'. If you do not receive e-mail in your 'inbox', check your 'bulk mail' or 'junk mail' folders.