Bond Pricing and the Term Structure of Interest Rates: A Discrete Time Approximation
@article{Heath1990BondPA, title={Bond Pricing and the Term Structure of Interest Rates: A Discrete Time Approximation}, author={David Heath and Robert A. Jarrow and A. J. Morton}, journal={Journal of Financial and Quantitative Analysis}, year={1990}, volume={25}, pages={419 - 440} }
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…
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References
SHOWING 1-10 OF 33 REFERENCES
Term Structure Movements and Pricing Interest Rate Contingent Claims
- Economics
- 1986
This paper derives an arbitrage-free interest rate movements model (AR model). This model takes the complete term structure as given and derives the subsequent stochastic movement of the term…
Time-Dependent Variance and the Pricing of Bond Options
- Economics
- 1987
In this paper, the authors develop a model for valuing debt options which takes into account the changing characteristics of the underlying bond by assuming that the standard deviation of return is…
Martingales and stochastic integrals in the theory of continuous trading
- Mathematics, Economics
- 1981
A Multivariate Model of the Term Structure
- Economics
- 1980
THE TERM STRUCTURE OF interest rates has a very important role in economic theory. On the macroeconomic level the term structure serves as a key transmission link between the monetary and real…
Bond Price Dynamics and Options
- EconomicsJournal of Financial and Quantitative Analysis
- 1983
This paper provides a closed-form, preference-free means of valuing a European call option written on a default-free pure discount bond. Investors may not agree upon a theory of the term structure,…
Simple Binomial Processes as Diffusion Approximations in Financial Models
- Mathematics
- 1990
A binomial approximation to a diffusion is defined as " computationally simple" if the number of nodes grows at most linearly in the number of time intervals. It is shown how to construct…
An Exact Bond Option Formula
- Economics
- 1989
This paper derives a closed-form solution for European options on pure discount bonds, assuming a mean-reverting Gaussian interest rate model as in Vasicek [8]. The formula is extended to European…