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Simulation Based Option Pricing

In: Applied Quantitative Finance

Author

Listed:
  • Denis Belomestny

    (Weierstrass Institute for Applied Analysis and Stochastics)

  • Grigori N. Milstein

    (Ural State University, Institute of Physics and Applied Mathematics)

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 lower bounds for the true price by Monte Carlo simulations. An adaptive choice of local lower bounds and use of the kernel interpolation technique enhance efficiency of the whole procedure, which is supported by numerical experiments.

Suggested Citation

  • Denis Belomestny & Grigori N. Milstein, 2009. "Simulation Based Option Pricing," Springer Books, in: Wolfgang K. Härdle & Nikolaus Hautsch & Ludger Overbeck (ed.), Applied Quantitative Finance, edition 2, chapter 18, pages 363-378, Springer.
    • Handle: RePEc:spr:sprchp:978-3-540-69179-2_18
    DOI: 10.1007/978-3-540-69179-2_18
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