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Common Correlation and Calibrating the Lognormal Forward Rate Model

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  • Carol Alexandra

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    (ICMA Centre, University of Reading)

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    Abstract

    1997 three papers that introduced very similar lognormal diffusion processes for interest rates appeared virtuously simultaneously. These models, now commonly called the 'LIBOR models' are based on either lognormal diffusions of forward rates as in Brace, Gatarek & Musiela (1997) and Miltersen, Sandermann & Sondermann (1997) or lognormal diffusions of swap rates, as in Jamshidian (1997). The consequent research interest in the calibration of the LIBOR models has engendered a growing empirical literature, including many papers by Brigo and Mercurio, and Riccardo Rebonato (www.fabiomercurio.it and www.damianobrigo.it and www.rebonato.com). The art of model calibration requires a reasonable knowledge of option pricing and a thorough background in statistics - techniques that are quite different to those required to design no-arbitrage pricing models. Researchers will find the book by Brigo and Mercurio (2001) and the forthcoming book by Rebonato (2002) invaluable aids to their understanding.

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    File URL: http://www.icmacentre.ac.uk/pdf/discussion/DP2002-18.pdf
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    Bibliographic Info

    Paper provided by Henley Business School, Reading University in its series ICMA Centre Discussion Papers in Finance with number icma-dp2002-18.

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    Length: 31 pages
    Date of creation: Jun 2002
    Date of revision: Jan 2003
    Handle: RePEc:rdg:icmadp:icma-dp2002-18

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    1. Jong, F.C.J.M. de & Driessen, J.J.A.G. & Pelsser, A., 2000. "Libor and Swap Market Models for the Pricing of Interest Rate Derivatives: An Empirical Analysis," Discussion Paper 2000-35, Tilburg University, Center for Economic Research.
    2. Miltersen, Kristian R & Sandmann, Klaus & Sondermann, Dieter, 1997. " Closed Form Solutions for Term Structure Derivatives with Log-Normal Interest Rates," Journal of Finance, American Finance Association, vol. 52(1), pages 409-30, March.
    3. Farshid Jamshidian, 1997. "LIBOR and swap market models and measures (*)," Finance and Stochastics, Springer, vol. 1(4), pages 293-330.
    4. Carol Alexander & Dimitri Lvov, 2003. "Statistical Properties of Forward Libor Rates," ICMA Centre Discussion Papers in Finance icma-dp2003-03, Henley Business School, Reading University.
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