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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, J.
Klaassen, P.
Melenberg, B. (Tilburg University, Center for Economic Research)

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Abstract

In this paper we empirically compare different term structure models when it comes to the pricing and hedging of caps and swaptions. We analyze the influence of the number of factors on the pricing and hedging results, and investigate which type of data -interest rate data or derivative price data- should be used to estimate the model parameters to obtain the best pricing and hedging results. We use data on interest rates, and cap and swaption prices from 1995 to 1999. We find that models with two or three factors imply better out-of-sample predictions of cap and swaption prices than one-factor models. Also, estimation on the basis of derivative prices leads to more accurate out-of-sample prediction of cap and swaption prices than estimation on the basis of interest rate data. The empirical results on the hedging of caps and swaptions show that, if the number of hedge instruments is equal to the number of factors, the 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.

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Paper provided by Tilburg University, Center for Economic Research in its series Discussion Paper with number 93.

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Date of creation: 2000
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Handle: RePEc:dgr:kubcen:200093

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Keywords: derivatives;

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Find related papers by JEL classification:
G12 - Financial Economics - - General Financial Markets - - - Asset Pricing
G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing
E43 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Determination of Interest Rates; Term Structure of Interest Rates

References listed on IDEAS
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.:

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    Other versions:
  2. Chan, K C, et al, 1992. " An Empirical Comparison of Alternative Models of the Short-Term Interest Rate," Journal of Finance, American Finance Association, vol. 47(3), pages 1209-27, July. [Downloadable!] (restricted)
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  8. Chernov, Mikhail & Ghysels, Eric, 2000. "A study towards a unified approach to the joint estimation of objective and risk neutral measures for the purpose of options valuation," Journal of Financial Economics, Elsevier, vol. 56(3), pages 407-458, June. [Downloadable!] (restricted)
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Full references

Cited by:
(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. 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:
  2. 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!]
  3. 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!]
  4. Rong Fan & Joseph G. Haubrich & Peter Ritchken & James B. Thomson, 2002. "Getting the most out of a mandatory subordinated debt requirement," Working Paper 0214, Federal Reserve Bank of Cleveland. [Downloadable!]
    Other versions:
  5. 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!]
  6. 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)
  7. Blaskowitz, Oliver & Herwartz, Helmut & de Cadenas Santiago, Gonzalo, 2005. "Modeling the FIBOR/EURIBOR Swap Term Structure : An Empirical Approach," Economics Working Papers 2005,04, Christian-Albrechts-University of Kiel, Department of Economics. [Downloadable!]
    Other versions:
  8. 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!]
  9. Daniel R. Smith & Christophe Parignon, 2004. "Modeling Yield-Factor Volatility," Econometric Society 2004 Australasian Meetings 307, Econometric Society. [Downloadable!]
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