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Libor Market Models versus Swap Market Models for Pricing Interest Rate Derivatives: An Empirical Analysis

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  • Frank De Jong
  • Joost Driessen
  • Antoon Pelsser

Abstract

We empirically compare Libor and Swap Market Models for the pricing of interest rate derivatives, using panel data 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 models we analyze how well they price caplets and swaptions that were not used for calibration. We show that the Libor Market Model in general leads to better prediction of derivative prices that were not used for calibration than the Swap Market Model. Also, we find that Market Models with a declining volatility function give much better pricing results than a specification with a constant volatility function. Finally, we find that models that arechosen to exactly match certain derivative prices are overfitted; more parsimonious models lead to better predictions for derivative prices that were not used for calibration. JEL Classification: G12, G13, E43.

Suggested Citation

  • Frank De Jong & Joost Driessen & Antoon Pelsser, 2001. "Libor Market Models versus Swap Market Models for Pricing Interest Rate Derivatives: An Empirical Analysis," Review of Finance, European Finance Association, vol. 5(3), pages 201-237.
    • Handle: RePEc:oup:revfin:v:5:y:2001:i:3:p:201-237.
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    File URL: http://hdl.handle.net/10.1023/A:1013816921237
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    Cited by:

    1. Carol Alexander & Dimitri Lvov, 2003. "Statistical Properties of Forward Libor Rates," ICMA Centre Discussion Papers in Finance icma-dp2003-03, Henley Business School, University of Reading.
    2. Giuseppe Arbia & Michele Di Marcantonio, 2015. "Forecasting Interest Rates Using Geostatistical Techniques," Econometrics, MDPI, vol. 3(4), pages 1-28, November.
    3. 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.
    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. Zühlsdorff, Christian, 2002. "Extended Libor Market Models with Affine and Quadratic Volatility," Bonn Econ Discussion Papers 6/2002, University of Bonn, Bonn Graduate School of Economics (BGSE).
    6. Frank de Jong & Joost Driessen & Antoon Pelsser, 2004. "On the Information in the Interest Rate Term Structure and Option Prices," Review of Derivatives Research, Springer, vol. 7(2), pages 99-127, August.
    7. Yunbi An & Wulin Suo, 2008. "The compatibility of one‐factor market models in caps and swaptions markets: Evidence from their dynamic hedging performance," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 28(2), pages 109-130, February.
    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.

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    More about this item

    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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