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Pricing a Bermudan Swaption with a Short Rate Lattice Method

Author

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  • Yasuhiro Tamba

    (Graduate School of Economics, Osaka University)

Abstract

This paper presents the tree construction approach to pricing a Bermudan swaption. The Bermudan swaption is an option, which at each date in a schedule of exercise dates gives the holder the right to enter an interest swap, provided that this right has not been exercised at any previous time in the schedule. Assuming a common diffusion short rate dynamics, the Hull-White model, we propose a dynamic programming approach for their risk neutral evaluation. This framework is suited to a calibration from an observed initial yield curve and market price data of discount bonds and European swaptions.

Suggested Citation

  • Yasuhiro Tamba, 2005. "Pricing a Bermudan Swaption with a Short Rate Lattice Method," Discussion Papers in Economics and Business 05-03, Osaka University, Graduate School of Economics.
    • Handle: RePEc:osk:wpaper:0503
    as

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    File URL: http://www2.econ.osaka-u.ac.jp/library/global/dp/0503.pdf
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    References listed on IDEAS

    as
    1. Hull, John & White, Alan, 1990. "Pricing Interest-Rate-Derivative Securities," The Review of Financial Studies, Society for Financial Studies, vol. 3(4), pages 573-592.
    2. Longstaff, Francis A & Schwartz, Eduardo S, 2001. "Valuing American Options by Simulation: A Simple Least-Squares Approach," University of California at Los Angeles, Anderson Graduate School of Management qt43n1k4jb, Anderson Graduate School of Management, UCLA.
    3. Longstaff, Francis A & Schwartz, Eduardo S, 2001. "Valuing American Options by Simulation: A Simple Least-Squares Approach," The Review of Financial Studies, Society for Financial Studies, vol. 14(1), pages 113-147.
    4. Daisuke Ito & Masamitsu Ohnishi & Yasuhiro TAMBA, 2004. "Pricing of a Chooser Flexible Cap and its Calibration," Discussion Papers in Economics and Business 04-18, Osaka University, Graduate School of Economics.
    5. Broadie, Mark & Glasserman, Paul, 1997. "Pricing American-style securities using simulation," Journal of Economic Dynamics and Control, Elsevier, vol. 21(8-9), pages 1323-1352, June.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    Bermudan swaption; swap rate; risk neutral evaluation; dynamic programming; Hull-White model; calibration.;
    All these keywords.

    JEL classification:

    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing
    • G15 - Financial Economics - - General Financial Markets - - - International Financial Markets
    • G21 - Financial Economics - - Financial Institutions and Services - - - Banks; Other Depository Institutions; Micro Finance Institutions; Mortgages

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