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Early Exercise Boundary for American Type of Floating Strike Asian Option and Its Numerical Approximation

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  • Tomáš Bokes
  • Daniel Ševčovič

Abstract

In this article, we generalize and analyse the model for pricing American-style Asian options proposed by Hansen and Jørgensen (2000) by including a continuous dividend rate q and a general method of averaging the floating strike. We focus on the qualitative and quantitative analysis of the early exercise boundary. The first-order expansion in terms of of the early exercise boundary close to expiry is constructed. We furthermore propose an efficient numerical algorithm for determining the early exercise boundary position based on the front-fixing method. Construction of the algorithm is based on a solution to a non-local parabolic partial differential equation for the transformed variable representing the synthesized portfolio. Various numerical results and comparisons of our numerical method and the method developed by Dai and Kwok (2006) are presented.

Suggested Citation

  • Tomáš Bokes & Daniel Ševčovič, 2010. "Early Exercise Boundary for American Type of Floating Strike Asian Option and Its Numerical Approximation," Applied Mathematical Finance, Taylor & Francis Journals, vol. 18(5), pages 367-394, November.
  • Handle: RePEc:taf:apmtfi:v:18:y:2011:i:5:p:367-394
    DOI: 10.1080/1350486X.2010.547041
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    File URL: http://hdl.handle.net/10.1080/1350486X.2010.547041
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    Cited by:

    1. J. D. Kandilarov & D. Sevcovic, 2011. "Comparison of Two Numerical Methods for Computation of American Type of the Floating Strike Asian Option," Papers 1106.0020, arXiv.org.

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