Heterogeneous discounting in consumption-investment problems. Time consistent solutions

Albert de-Paz, Jesus Marin-Solano and Jorge Navas
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Jorge Navas: Universitat de Barcelona

No 264, Working Papers in Economics from Universitat de Barcelona. Espai de Recerca en Economia

Abstract: In this paper we analyze a stochastic continuous time model in finite horizon in which agents discount the instantaneous utility function and the final function at constant but different instantaneous discount rates of time preference. Within this context we can model problems in which, when the time t approaches to the final time, the valuation of the final function increases compared with previous valuations in a way that cannot be explained by using a unique constant or a variable discount rate. We derive a dynamic programming equation whose solutions are time-consistent Markov equilibria. For this class of time preferences, we study the classical consumption and portfolio rules model (Merton, 1971) for CRRA and CARA utility functions for time- consistent agents, and we compare the different equilibria with the time-inconsistent solutions. The introduction of stochastic terminal time is also discussed.

JEL-codes: C61 C73 G11 (search for similar items in EconPapers)
Pages: 0 pages
Date: 2011
New Economics Papers: this item is included in nep-dge
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