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Libor and Swap Market Models for the Pricing of Interest Rate Derivatives : An Empirical Analysis

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  • de Jong, F.C.J.M.

    (Tilburg University, Center For Economic Research)

  • Driessen, J.J.A.G.

    (Tilburg University, Center For Economic Research)

  • Pelsser, A.

Abstract

In this paper we empirically analyze and compare the Libor and Swap Market Models, developed by Brace, Gatarek, and Musiela (1997) and Jamshidian (1997), using paneldata on prices of US caplets and swaptions.A Libor Market Model can directly be calibrated to observed prices of caplets, whereas a Swap Market Model is calibrated to a certain set of swaption prices.For both one-factor and two-factor models we analyze how well they price caplets and swaptions that were not used for calibration.We show that the Libor Market Models in general lead to better prediction of derivative prices that were not used for calibration than the Swap Market Models.A one-factor Libor Market Model that exhibits mean-reversion gives a good fit of the derivative prices, and adding a second factor only decreases pricing errors to a small extent.We also find that models that are chosen to exactly match certain derivative prices are overfitted. Finally, a regression analysis reveals that the pricing errors are correlated with the shape of the term structure of interest rates.

Suggested Citation

  • de Jong, F.C.J.M. & 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.
  • Handle: RePEc:tiu:tiucen:1fc274a2-9ac0-4d04-9386-7bb290c8d10a
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    Citations

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    Cited by:

    1. Christiansen, Charlotte & Strunk Hansen, Charlotte, 2000. "Implied Volatility of Interest Rate Options: An Empirical Investigation of the Market Model," Finance Working Papers 00-1, University of Aarhus, Aarhus School of Business, Department of Business Studies.
    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.
    3. repec:bpj:jossai:v:3:y:2015:i:1:p:48-58:n:5 is not listed on IDEAS
    4. Mihaela Tuca, 2009. "Calibration of LIBOR Market Model: Comparison between the Separated and the Approximate Approach," Advances in Economic and Financial Research - DOFIN Working Paper Series 27, Bucharest University of Economics, Center for Advanced Research in Finance and Banking - CARFIB.
    5. Mireille Bossy & Rajna Gibson & Francois-Serge Lhabitant & Nathalie Pistre & Denis Talay, 2006. "Model misspecification analysis for bond options and Markovian hedging strategies," Review of Derivatives Research, Springer, vol. 9(2), pages 109-135, September.
    6. Carol Alexandra, 2002. "Common Correlation and Calibrating the Lognormal Forward Rate Model," ICMA Centre Discussion Papers in Finance icma-dp2002-18, Henley Business School, Reading University, revised Jan 2003.
    7. Giuseppe Arbia & Michele Di Marcantonio, 2015. "Forecasting Interest Rates Using Geostatistical Techniques," Econometrics, MDPI, Open Access Journal, vol. 3(4), pages 1-28, November.
    8. Baaquie, Belal E. & Yang, Cao, 2009. "Empirical analysis of quantum finance interest rates models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(13), pages 2666-2681.

    More about this item

    Keywords

    Term Structure Models; Interest Rate Derivatives; Lognormal Pricing Models; Black Formula;

    JEL classification:

    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing
    • E43 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Interest Rates: Determination, Term Structure, and Effects

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