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Adaptive simulation algorithms for pricing American and Bermudan options by local analysis of financial market

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  • Belomestny, Denis
  • Milstein, Grigori N.

Abstract

Here we develop an approach for efficient pricing discrete-time American and Bermudan options which employs the fact that such options are equivalent to the European ones with a consumption, combined with analysis of the market model over a small number of steps ahead. This approach allows constructing both upper and low bounds for the true price by Monte Carlo simulations. An adaptive choice of local low bounds and use of the kernel interpolation technique enhance efficiency of the whole procedure, which is supported by numerical experiments.

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  • Belomestny, Denis & Milstein, Grigori N., 2006. "Adaptive simulation algorithms for pricing American and Bermudan options by local analysis of financial market," SFB 649 Discussion Papers 2006-038, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
    • Handle: RePEc:zbw:sfb649:sfb649dp2006-038
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    1. repec:hum:wpaper:sfb649dp2006-051 is not listed on IDEAS
    2. Denis Belomestny & Grigori Milstein & Vladimir Spokoiny, 2009. "Regression methods in pricing American and Bermudan options using consumption processes," Quantitative Finance, Taylor & Francis Journals, vol. 9(3), pages 315-327.
    3. Belomestny, Denis & Gapeev, Pavel V., 2006. "An iteration procedure for solving integral equations related to optimal stopping problems," SFB 649 Discussion Papers 2006-043, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
    4. Denis Belomestny & G. Milstein & John Schoenmakers, 2010. "Sensitivities for Bermudan options by regression methods," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 33(2), pages 117-138, November.
    5. repec:hum:wpaper:sfb649dp2006-043 is not listed on IDEAS

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