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Valuing American Options by Simulation: A Simple Least-Squares Approach

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  • Longstaff, Francis A
  • Schwartz, Eduardo S
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    Abstract

    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 techniqes 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.

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    File URL: http://www.escholarship.org/uc/item/43n1k4jb.pdf;origin=repeccitec
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    Bibliographic Info

    Paper provided by Anderson Graduate School of Management, UCLA in its series University of California at Los Angeles, Anderson Graduate School of Management with number qt43n1k4jb.

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    Date of creation: 09 May 2001
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    Handle: RePEc:cdl:anderf:qt43n1k4jb

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