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Bond Pricing and the Term Structure of Interest Rates: A Discrete Time Approximation

Published online by Cambridge University Press:  06 April 2009

David Heath ,
Robert Jarrow  and
Andrew Morton
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Abstract

This paper studies the binomial approximation to the continuous trading term structure model of Heath, Jarrow, and Morton (1987). The discrete time approximation makes the original methodology accessible to a wider audience, and provides a computational procedure necessary for calculating the contingent claim values derived in the continuous time paper. This paper also extends and generalizes Ho and Lee's (1986) model to include multiple random shocks to the forward rate process and to include an analysis of continuous time limits. The generalization provides insights into the limitations of the existing empirical implementation of Ho and Lee's model.

Type
Research Article
Information
Journal of Financial and Quantitative Analysis , Volume 25 , Issue 4 , December 1990 , pp. 419 - 440
Copyright
Copyright © School of Business Administration, University of Washington 1990

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References

Breiman, L.Probability, Reading, MA: Addison-Wesley Publ. Co. (1968).Google Scholar
Brennan, M., and Schwartz, E.. “A Continuous-Time Approach to the Pricing of Bonds.” Journal of Banking and Finance, 3 (07 1979), 133–155.CrossRefGoogle Scholar
Cox, J.; Ingersoll, J.; and Ross, S.. “A Theory of the Term Structure of Interest Rates. Econometrica, 53 (03 1985), 385–407.CrossRefGoogle Scholar
Cox, J., and Ross, S.. “The Valuation of Options for Alternative Stochastic Processes.” Journal of Financial Economics, 3 (01./03 1976), 145–166.CrossRefGoogle Scholar
Harrison, J., and Pliska, S.. “Martingales and Stochastic Integrals in the Theory of Continuous Trading.” Stochastic Processes and Their Applications, 11 (1981), 215–260.CrossRefGoogle Scholar
Heath, D.; Jarrow, R.; and Morton, A.. “Bond Pricing and the Term Structure of Interest Rates: A New Methodology for Contingent Claims Valuation.” Unpubl. manuscript, Cornell Univ. (1987).Google Scholar
Ho, T., and Lee, S.. “Term Structure Movements and Pricing Interest Rates Contingent Claims.” Journal of Finance, 41 (12 1986), 1011–1029.CrossRefGoogle Scholar
Langetieg, T. “A Multivariate Model of the Term Structure.” Journal of Finance, 35 (03 1980), 71–97.Google Scholar
Nelson, D., and Ramaswamy, K.. “Simple Binomial Processes as Diffusion Approximations in Financial Models.” Unpubl. manuscript, Univ. of Chicago (1989).Google Scholar