Enhanced policy iteration for American options via scenario selection

Christian Bender, Anastasia Kolodko and John Schoenmakers

Quantitative Finance, 2008, vol. 8, issue 2, 135-146

Abstract: Kolodko and Schoenmakers (2006) and Bender and Schoenmakers (2006) introduced a policy iteration that allows the achievement of a tight lower approximations of the price for early exercise options via a nested Monte Carlo simulation in a Markovian setting. In this paper we enhance the algorithm by a scenario selection method. It is demonstrated by numerical examples that the scenario selection can significantly reduce the number of inner simulations actually performed, and thus can greatly speed up the method (by up to a factor of 15 in some examples). Moreover, it is shown that the modified algorithm retains the desirable properties of the original, such as the monotone improvement property, termination after a finite number of iteration steps, and numerical stability.

Keywords: American-style derivative securities; Monte Carlo methods; Optimal policies; Pricing of derivatives securities (search for similar items in EconPapers)
Date: 2008
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Citations: View citations in EconPapers (7)

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DOI: 10.1080/14697680701253013

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