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Discontinuous Interest Rate Processes: An Equilibrium Model for Bond Option Prices

Published online by Cambridge University Press:  06 April 2009

Mukarram Attari
Mukarram Attari
Affiliation:
University of Wisconsin-Madison, School of Business, Grainger Hall, 975 University Avenue, Madison, WI 53706
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Abstract

This paper obtains equilibrium interest rate option prices for discontinuous short-term interest rate processes. The prices are first obtained for a general distribution of jump sizes using a process with a number of fixed size jumps. The pricing formulas are then used to obtain option prices when the jump distribution is known to be one of the continuous distributions. The commonly used jump-diffusion, stochastic volatility jump-diffusion, and Gamma process option prices can be obtained as limiting cases. The methodology is also applied to obtain the prices of options on stocks. Finally, the paper shows how portfolios to hedge derivative securities can be built.

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Type
Research Article
Information
Journal of Financial and Quantitative Analysis , Volume 34 , Issue 3 , September 1999 , pp. 293 - 322
Copyright
Copyright © School of Business Administration, University of Washington 1999

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