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

Author

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  • 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.

Suggested Citation

  • Juan M. Moraleda & Ton Vorst, 1996. "The Valuation of Interest Rate Derivatives: Empirical Evidence from the Spanish Market," Tinbergen Institute Discussion Papers 96-170/2, Tinbergen Institute.
  • Handle: RePEc:tin:wpaper:19960170
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    References listed on IDEAS

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    1. Li, Anlong & Ritchken, Peter & Sankarasubramanian, L, 1995. "Lattice Models for Pricing American Interest Rate Claims," Journal of Finance, American Finance Association, vol. 50(2), pages 719-737, June.
    2. Brennan, Michael J. & Schwartz, Eduardo S., 1982. "An Equilibrium Model of Bond Pricing and a Test of Market Efficiency," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 17(3), pages 301-329, September.
    3. Vasicek, Oldrich A & Fong, H Gifford, 1982. "Term Structure Modeling Using Exponential Splines," Journal of Finance, American Finance Association, vol. 37(2), pages 339-348, May.
    4. 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.
    5. John C. Cox & Jonathan E. Ingersoll Jr. & Stephen A. Ross, 2005. "A Theory Of The Term Structure Of Interest Rates," World Scientific Book Chapters, in: Sudipto Bhattacharya & George M Constantinides (ed.), Theory Of Valuation, chapter 5, pages 129-164, World Scientific Publishing Co. Pte. Ltd..
    6. Dietrich-Campbell, Bruce & Schwartz, Eduardo, 1986. "Valuing debt options : Empirical evidence," Journal of Financial Economics, Elsevier, vol. 16(3), pages 321-343, July.
    7. David Heath & Robert Jarrow & Andrew Morton, 2008. "Bond Pricing And The Term Structure Of Interest Rates: A New Methodology For Contingent Claims Valuation," World Scientific Book Chapters, in: Financial Derivatives Pricing Selected Works of Robert Jarrow, chapter 13, pages 277-305, World Scientific Publishing Co. Pte. Ltd..
    8. Ho, Thomas S Y & Lee, Sang-bin, 1986. "Term Structure Movements and Pricing Interest Rate Contingent Claims," Journal of Finance, American Finance Association, vol. 41(5), pages 1011-1029, December.
    9. Flesaker, Bjorn, 1993. "Testing the Heath-Jarrow-Morton/Ho-Lee Model of Interest Rate Contingent Claims Pricing," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 28(4), pages 483-495, December.
    10. 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 1209-1227, July.
    11. Vasicek, Oldrich, 1977. "An equilibrium characterization of the term structure," Journal of Financial Economics, Elsevier, vol. 5(2), pages 177-188, November.
    12. Vasicek, Oldrich Alfonso, 1977. "Abstract: An Equilibrium Characterization of the Term Structure," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 12(4), pages 627-627, November.
    13. Peter Ritchken & L. Sankarasubramanian, 1995. "Volatility Structures Of Forward Rates And The Dynamics Of The Term Structure1," Mathematical Finance, Wiley Blackwell, vol. 5(1), pages 55-72, January.
    14. Brown, Roger H. & Schaefer, Stephen M., 1994. "The term structure of real interest rates and the Cox, Ingersoll, and Ross model," Journal of Financial Economics, Elsevier, vol. 35(1), pages 3-42, February.
    15. 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.
    16. Hull, John & White, Alan, 1990. "Pricing Interest-Rate-Derivative Securities," Review of Financial Studies, Society for Financial Studies, vol. 3(4), pages 573-592.
    17. Amin, Kaushik I. & Morton, Andrew J., 1994. "Implied volatility functions in arbitrage-free term structure models," Journal of Financial Economics, Elsevier, vol. 35(2), pages 141-180, April.
    18. 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(2), pages 235-254, June.
    19. 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 617-630, July.
    20. Black, Fischer, 1976. "The pricing of commodity contracts," Journal of Financial Economics, Elsevier, vol. 3(1-2), pages 167-179.
    21. Stambaugh, Robert F., 1988. "The information in forward rates : Implications for models of the term structure," Journal of Financial Economics, Elsevier, vol. 21(1), pages 41-70, May.
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