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A variance reduction technique for American option pricing

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  • Moreni, Nicola

Abstract

In this paper we are interested in Monte Carlo pricing of American options via the Longstaff–Schwartz algorithm. In particular, we show that it is possible to obtain a variance reduction technique based on importance sampling by means of Girsanov theorem. The almost sure convergence of the modified algorithm and a central limit theorem were proved. Here, we summarise the theoretical results and some numerical outcomes.

Suggested Citation

  • Moreni, Nicola, 2004. "A variance reduction technique for American option pricing," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 338(1), pages 292-295.
  • Handle: RePEc:eee:phsmap:v:338:y:2004:i:1:p:292-295
    DOI: 10.1016/j.physa.2004.02.055
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    Cited by:

    1. Francois-Michel Boire & R. Mark Reesor & Lars Stentoft, 2021. "American Option Pricing with Importance Sampling and Shifted Regressions," JRFM, MDPI, vol. 14(8), pages 1-21, July.

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