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Testing the Heath-Jarrow-Morton/Ho-Lee Model of Interest Rate Contingent Claims Pricing

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  • Flesaker, Bjorn

Abstract

This paper presents empirical tests of the constant volatility version of the Heath, Jarrow, and Morton model, which is also the continuous time limit of the Ho and Lee model. Using a generalized method of moments (GMM) test on three years of daily data for Eurodollar futures and futures options, the model can be rejected for most subperiods. Various biases in the fitted option prices relative to the market prices are documented through a regression study. The small sample properties and power of the GMM framework to this setting are also studied through simulations.

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  • 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(04), pages 483-495, December.
  • Handle: RePEc:cup:jfinqa:v:28:y:1993:i:04:p:483-495_00
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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, pages 635-672.
    2. Schloegl, Erik & Daniel Sommer, 1997. "Factor Models and the Shape of the Term Structure," Discussion Paper Serie B 395, University of Bonn, Germany.
    3. 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, pages 99-127.
    4. I‐Doun Kuo & Kai‐Li Wang, 2009. "Implied deterministic volatility functions: An empirical test for Euribor options," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 29(4), pages 319-347, April.
    5. Ram Bhar & Carl Chiarella, 1995. "Transformation of Heath-Jarrow-Morton Models to Markovian Systems," Working Paper Series 53, Finance Discipline Group, UTS Business School, University of Technology, Sydney.
    6. Ram Bhar & Carl Chiarella, 1996. "Bootstrap Results From the State Space From Representation of the Heath-Jarrow-Morton Model," Working Paper Series 66, Finance Discipline Group, UTS Business School, University of Technology, Sydney.
    7. Schlögl, Erik & Daniel Sommer, 1994. "On Short Rate Processes and Their Implications for Term Structure Movements," Discussion Paper Serie B 293, University of Bonn, Germany.
    8. R. Bhar & C. Chiarella, 1997. "Transformation of Heath?Jarrow?Morton models to Markovian systems," The European Journal of Finance, Taylor & Francis Journals, vol. 3(1), pages 1-26.
    9. 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.
    10. Robert A. Jarrow, 2009. "The Term Structure of Interest Rates," Annual Review of Financial Economics, Annual Reviews, vol. 1(1), pages 69-96, November.
    11. Yang, Sharon S. & Yueh, Meng-Lan & Tang, Chun-Hua, 2008. "Valuation of the interest rate guarantee embedded in defined contribution pension plans," Insurance: Mathematics and Economics, Elsevier, vol. 42(3), pages 920-934, June.
    12. 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.
    13. Abaffy, Jozsef & Bertocchi, Marida & Gnudi, Adriana, 2005. "Extensions of the Ho and Lee interest-rate model to the multinomial case," European Journal of Operational Research, Elsevier, vol. 163(1), pages 154-169, May.
    14. Lim, Terence & Lo, Andrew W. & Merton, Robert C. & Scholes, Myron S., 2006. "The Derivatives Sourcebook," Foundations and Trends(R) in Finance, now publishers, vol. 1(5–6), pages 365-572, April.
    15. Christina Nikitopoulos-Sklibosios, 2005. "A Class of Markovian Models for the Term Structure of Interest Rates Under Jump-Diffusions," PhD Thesis, Finance Discipline Group, UTS Business School, University of Technology, Sydney, number 6.
    16. Ruslan Bikbov & Mikhail Chernov, 2009. "Unspanned Stochastic Volatility in Affine Models: Evidence from Eurodollar Futures and Options," Management Science, INFORMS, pages 1292-1305.

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