Bond Pricing and the Term Structure of Interest Rates: A New Methodology for Contingent Claims Valuation

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Heath, David , Robert Jarrow, and Andrew Morton, "Bond Pricing and the Term Structure of Interest Rates: A New Methodology for Contingent Claims Valuation", Econometrica, (January 1992), Vol. 60, No. 1, pp 77-105.

Abstract: This paper presents a unifying theory for valuing contingent claims under a stochastic term structure of interest rates. The methodology, based on the equivalent martingale measure technique, takes as given an initial forward rate curve and a family of potential stochastic processes for its subsequent movements. A no arbitrage condition restricts this family of processes yielding valuation formulae for interest rate sensitive contingent claims which do not explicitly depend on the market prices of risk. Examples are provided to illustrate the key results.

Keywords: Term structure of interest rate options, contingent claims, martingale measures.

This paper is republished as Ch.3 in…