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The Valuation of Interest Rate Derivatives: Empirical Evidence from the Spanish Market

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Author Info

  • Juan M. Moraleda

    (Erasmus University Rotterdam)

  • Ton Vorst

    ()
    (Erasmus University Rotterdam)

Abstract

This paper studies empirical issues of one-factor yield curve models. We focus on the models by Hoand Lee (1986), Hull and White (1990) and Moraleda and Vorst (1996). To be consistent in thecomparison of the models, we derive them all within the Ritkchen and Sankarasubramanian (1995)framework, which is a subset of the very general Heath, Jarrow and Morton (1992) model. Weestimate model parameters from historical time series of government bond prices. The model byMoraleda and Vorst (1996) turns out to best explain the yield curve dynamics through time.Moreover, humped shapes in the volatility structure as modelled in this model are typically found.Next, we use these parameter estimations for pricing options traded in the Spanish financial market.A comparison between model and market option prices is provided.

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Bibliographic Info

Paper provided by Tinbergen Institute in its series Tinbergen Institute Discussion Papers with number 96-170/2.

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Date of creation: 08 Nov 1996
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Handle: RePEc:dgr:uvatin:19960170

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  1. Heath, David & Jarrow, Robert & Morton, Andrew, 1990. "Bond Pricing and the Term Structure of Interest Rates: A Discrete Time Approximation," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 25(04), pages 419-440, December.
  2. Miltersen, Kristian R & Sandmann, Klaus & Sondermann, Dieter, 1997. " Closed Form Solutions for Term Structure Derivatives with Log-Normal Interest Rates," Journal of Finance, American Finance Association, vol. 52(1), pages 409-30, March.
  3. Moraleda, Juan M. & Vorst, Ton C. F., 1997. "Pricing American interest rate claims with humped volatility models," Journal of Banking & Finance, Elsevier, vol. 21(8), pages 1131-1157, August.
  4. Hull, John & White, Alan, 1993. "One-Factor Interest-Rate Models and the Valuation of Interest-Rate Derivative Securities," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 28(02), pages 235-254, June.
  5. McCulloch, J Huston, 1975. "An Estimate of the Liquidity Premium," Journal of Political Economy, University of Chicago Press, vol. 83(1), pages 95-119, February.
  6. Hull, John & White, Alan, 1990. "Pricing Interest-Rate-Derivative Securities," Review of Financial Studies, Society for Financial Studies, vol. 3(4), pages 573-92.
  7. Heath, David & Jarrow, Robert & Morton, Andrew, 1992. "Bond Pricing and the Term Structure of Interest Rates: A New Methodology for Contingent Claims Valuation," Econometrica, Econometric Society, vol. 60(1), pages 77-105, January.
  8. 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.
  9. Brown, Stephen J & Dybvig, Philip H, 1986. " The Empirical Implications of the Cox, Ingersoll, Ross Theory of the Term Structure of Interest Rates," Journal of Finance, American Finance Association, vol. 41(3), pages 617-30, July.
  10. McCulloch, J Huston, 1971. "Measuring the Term Structure of Interest Rates," The Journal of Business, University of Chicago Press, vol. 44(1), pages 19-31, January.
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Cited by:
  1. Driessen, Joost & Klaassen, Pieter & Melenberg, Bertrand, 2003. "The Performance of Multi-Factor Term Structure Models for Pricing and Hedging Caps and Swaptions," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 38(03), pages 635-672, September.

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