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A general equilibrium framework for the affine class of term structure models
Authors:Email author" target="_blank">Jo?o?Pedro?Vidal?NunesEmail author
Institution:(1) CEMAF/ISCTE, Av. Prof. Aníbal Bettencourt, 1600-189 Lisboa, Portugal
Abstract:The Duffie and Kan (1966) model, which can be considered as the most general affine term structure formulation, was originally specified in terms of risk-adjusted stochastic processes for its state variables. The goal of the present paper is to derive a Duffie and Kan (1966) modelrsquo specification under the physical probability measure that is compatible with the formulation given by the authors under the equivalent martingale (ldquomoney market accountrdquo) measure. For that purpose, the Duffie and Kan (1966) model will be fitted into a general equilibrium monetary framework. The resulting analytical solution for the vector of factorrsquo risk premiums enables the econometric estimation of the modelrsquo parameters using a ldquotime-seriesrdquo or a ldquopanel-datardquo approach, and nests, as special cases, several other specifications already proposed in the literature.Received: November 2002, Accepted: February 2004, JEL Classification: E43, G11, G12Financial support by FCTrsquos research grant PRAXISXXI/BD/5712/95 is gratefully acknowledged.
Keywords:Affine term structure models  Change of measure  Feynman-Kaccaron solution" target="_blank">gif" alt="ccaron" align="BASELINE" BORDER="0"> solution  Cash-in-advance models  Power utility  Log utility
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