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The Levy Swap Market Model

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  • E. Eberlein
  • J. Liinev
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    Abstract

    Models driven by Levy processes are attractive since they allow for better statistical fitting than classical diffusion models. The dynamics of the forward swap rate process is derived in a semimartingale setting and a Levy swap market model is introduced. In order to guarantee positive rates, the swap rates are modelled as ordinary exponentials. The model starts with the most distant rate, which is driven by a non-homogeneous Levy process. Via backward induction the remaining swap rates are constructed such that they become martingales under the corresponding forward swap measures. Finally it is shown how swaptions can be priced using bilateral Laplace transforms.

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    Bibliographic Info

    Article provided by Taylor & Francis Journals in its journal Applied Mathematical Finance.

    Volume (Year): 14 (2007)
    Issue (Month): 2 ()
    Pages: 171-196

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    Handle: RePEc:taf:apmtfi:v:14:y:2007:i:2:p:171-196

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    Related research

    Keywords: Swap rates; swap market model; swaption; forward swap measure; Levy process; interest rate model;

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    Cited by:
    1. Leippold, Markus & Strømberg, Jacob, 2014. "Time-changed Lévy LIBOR market model: Pricing and joint estimation of the cap surface and swaption cube," Journal of Financial Economics, Elsevier, vol. 111(1), pages 224-250.

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