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Valuing American options by simulation: A simple least-squares approach
http://www.erasmusenergy.com/articles/112/1/Valuing-American-options-by-simulation-A-simple-least-squares-approach/Page1.html
Francis Longstaff

Francis A. Longstaff is a Certified Public Accountant (CPA) and a Chartered Financial Analyst (CFA). From 1995 to 1998, Professor Longstaff was head of Fixed Income Derivative Research at Salomon Brothers Inc. in New York. Professor Longstaff has also worked in the research department of the Chicago Board of Trade and for Deloitte and Touche as a management consultant.

 
By Francis Longstaff
Published on 12/10/2007
 
Keywords:
Published in: The review of financial studies
Publication year: 2001
Co-author 1: Eduardo Schwartz

This article presents a simple yet powerful new approach for approximating the value of American options by simulation. The key to this approach is the use of least squares to estimate the conditional expected payoff to the optionholder from continuation. This makes this approach readily applicable in path-dependent and multifactor situations where traditional finite difference techniques cannot be used. we illustrate this technique with several realistic examples including valuing an option when the underlying asset follows a jump-diffusion process and valuing an American swaption in a 20-factor string model of the term structure.

Valuing American options by simulation: a simple least-squares approach

This article presents a simple yet powerful new approach for approximating the value of American options by simulation. The key to this approach is the use of least squares to estimate the conditional expected payoff to the optionholder from continuation. This makes this approach readily applicable in path-dependent and multifactor situations where traditional finite difference techniques cannot be used. we illustrate this technique with several realistic examples including valuing an option when the underlying asset follows a jump-diffusion process and valuing an American swaption in a 20-factor string model of the term structure.