Bond pricing and the term structure of interest rates: a new methodology for contingent claims valuation. (English) Zbl 0751.90009

Heath, David; Jarrow, Robert; Morton, Andrew

Econometrica 60, No. 1, 77-105 (1992).

Summary: 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.

MSC:

91G30	Interest rates, asset pricing, etc. (stochastic models)
91B25	Asset pricing models (MSC2010)
91G20	Derivative securities (option pricing, hedging, etc.)
60J65	Brownian motion

Keywords:

contingent claims; term structure of interest rates; equivalent martingale measure technique