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

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.


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