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Interest rate model calibration using semidefinite Programming

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  • A. D'Aspremont

Abstract

It is shown that, for the purpose of pricing swaptions, the swap rate and the corresponding forward rates can be considered lognormal under a single martingale measure. Swaptions can then be priced as options on a basket of lognormal assets and an approximation formula is derived for such options. This formula is centred around a Black-Scholes price with an appropriate volatility, plus a correction term that can be interpreted as the expected tracking error. The calibration problem can then be solved very efficiently using semidefinite programming.

Suggested Citation

  • A. D'Aspremont, 2003. "Interest rate model calibration using semidefinite Programming," Applied Mathematical Finance, Taylor & Francis Journals, vol. 10(3), pages 183-213.
    • Handle: RePEc:taf:apmtfi:v:10:y:2003:i:3:p:183-213
    DOI: 10.1080/1350486032000141002
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    References listed on IDEAS

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    Cited by:

    1. Colino, Jesús P. & Nogales, Francisco J. & Stute, Winfried, 2008. "LIBOR additive model calibration to swaptions markets," DES - Working Papers. Statistics and Econometrics. WS ws085619, Universidad Carlos III de Madrid. Departamento de Estadística.
    2. S. Galluccio & J.‐M. Ly & Z. Huang & O. Scaillet, 2007. "Theory And Calibration Of Swap Market Models," Mathematical Finance, Wiley Blackwell, vol. 17(1), pages 111-141, January.

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