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The Performance of Multi-Factor Term Structure Models for Pricing and Hedging Caps and Swaptions

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Author Info
Driessen, Joost
Klaassen, Pieter
Melenberg, Bertrand

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Abstract

We empirically compare a wide range of term structure models used in the pricing and, in particular, hedging of caps and swaptions. We analyze the influence of the number of factors on the hedging and pricing results, and investigate the type of data in combination with the estimation technique that should be used to obtain the best hedging and pricing results. We use data on interest rates, and cap and swaption prices from 1995 1999. The empirical results show that, if the number of hedge instruments is equal to the number of factors, multi-factor models outperform one-factor models in hedging caps and swaptions. However, if one uses a large set of hedge instruments, one-factor models perform as well as multi-factor models. We find that models with two or three factors imply better out-of-sample predictions of cap and swaption prices than one-factor models. Estimation on the basis of current derivative prices leads to more accurate out-of-sample prediction of cap and swaption prices than estimation on the basis of interest rate data.

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Publisher Info
Article provided by Cambridge University Press in its journal Journal of Financial and Quantitative Analysis.

Volume (Year): 38 (2003)
Issue (Month): 03 (September)
Pages: 635-672
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Handle: RePEc:cup:jfinqa:v:38:y:2003:i:03:p:635-672_00

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(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Rong Fan & Joseph Haubrich & Peter Ritchken & James Thomson, 2003. "Getting the Most Out of a Mandatory Subordinated Debt Requirement," Journal of Financial Services Research, Springer, vol. 24(2), pages 149-179, October. [Downloadable!] (restricted)
    Other versions:
  2. Oliver Blaskowitz & Helmut Herwartz & Gonzalo de Cadenas Santiago, 2005. "Modeling the FIBOR/EURIBOR Swap Term Structure: An Empirical Approach," SFB 649 Discussion Papers SFB649DP2005-024, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany. [Downloadable!]
    Other versions:
  3. Kabir K. Dutta & David F. Babbel, 2002. "Extracting Probabilistic Information from the Prices of Interest Rate Options: Tests of Distributional Assumptions," Center for Financial Institutions Working Papers 02-26, Wharton School Center for Financial Institutions, University of Pennsylvania. [Downloadable!]
    Other versions:
  4. Svenstrup, Mikkel, 2003. "On the Suboptimality of Single-Factor Exercise Strategies for Bermudan Swaptions," Finance Working Papers 02-24, University of Aarhus, Aarhus School of Business, Department of Business Studies. [Downloadable!]
  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. [Downloadable!] (restricted)
  6. Antonio Mannolini & Carlo Mari & Roberto Renò, 2008. "Pricing caps and floors with the extended CIR model," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 13(4), pages 386-400. [Downloadable!]
  7. Jury Falini, 2009. "Pricing caps with HJM models: the benefits of humped volatility," Department of Economics University of Siena 563, Department of Economics, University of Siena. [Downloadable!]
  8. Daniel R. Smith & Christophe Parignon, 2004. "Modeling Yield-Factor Volatility," Econometric Society 2004 Australasian Meetings 307, Econometric Society. [Downloadable!]
  9. Caio Ibsen R. Almeida & José Valentim M. Vicente, 2006. "Term Structure Movements Implicit in Option Prices," Working Papers Series 128, Central Bank of Brazil, Research Department. [Downloadable!]
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