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Stochastic Differential Utility

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Author Info
Duffie, Darrell
Epstein, Larry G

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Abstract

A stochastic differential formulation of recursive utility is given sufficient conditions for existence, uniqueness, time consistency, monotonicity, continuity, risk aversion, concavity, and other properties. In the setting of Brownian information, recursive and intertemporal expected utility functions are observationally distinguishable. However, one cannot distinguish between a number of non-expected-utility theories of one-shot choice under uncertainty after they are suitably integrated into an intertemporal framework. In a "smooth" Markov setting, the stochastic differential utility model produces a generalization of the Hamilton-Bellman-Jacobi characterization of optimality. A companion paper explores the implications for asset prices. Copyright 1992 by The Econometric Society.

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Publisher Info
Article provided by Econometric Society in its journal Econometrica.

Volume (Year): 60 (1992)
Issue (Month): 2 (March)
Pages: 353-94
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Handle: RePEc:ecm:emetrp:v:60:y:1992:i:2:p:353-94

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  1. Driffill, John & Kenc, Turalay & Sola, Martin & Spagnolo, Fabio, 2004. "On Model Selection and Markov Switching: A Empirical Examination of Term Structure Models with Regime Shifts," CEPR Discussion Papers 4165, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
  2. Kogan, Leonid & Uppal, Raman, 2002. "Risk Aversion and Optimal Portfolio Policies in Partial and General Equilibrium Economies," CEPR Discussion Papers 3306, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
  3. Lars Peter Hansen & Jose Scheinkman, 2006. "Long Term Risk: An Operator Approach," NBER Working Papers 12650, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  4. Uppal, Raman & Wang, Tan, 2002. "Model Misspecification and Under-Diversification," CEPR Discussion Papers 3304, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
  5. Fabio Antonelli & Andrea Pascucci, 2005. "On the viscosity solutions of a stochastic differential utility problem," Finance 0503021, EconWPA. [Downloadable!]
  6. Isaac Kleshchelski & Nicolas Vincent, 2007. "Robust Equilibrium Yield Curves," Cahiers de recherche 08-02, HEC Montréal, Institut d'économie appliquée. [Downloadable!]
  7. Ali Lazrak & Fernando Zapatero, 2002. "Efficient Consumption Set Under Recursive Utility and Unknown Beliefs," Research Paper Series 85, Quantitative Finance Research Centre, University of Technology, Sydney. [Downloadable!]
  8. Tang, Dragon Yongjun & Yan, Hong, 2008. "Market conditions, default risk and credit spreads," Discussion Paper Series 2: Banking and Financial Studies 2008,08, Deutsche Bundesbank, Research Centre. [Downloadable!]
  9. Hanno Lustig & Stijn Van Nieuwerburgh & Adrien Verdelhan, 2008. "The Wealth-Consumption Ratio," NBER Working Papers 13896, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  10. Aude POMMERET & William T. SMITH, 2004. "Fertility, Volatility, and Growth," Cahiers de Recherches Economiques du Département d'Econométrie et d'Economie politique (DEEP) 04.08, Université de Lausanne, Faculté des HEC, DEEP. [Downloadable!]
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  11. Lars Peter Hansen, 2007. "Beliefs, Doubts and Learning: Valuing Economic Risk," NBER Working Papers 12948, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  12. Campbell, John Y & Chacko, George & Rodriguez, Jorge & Viceira, Luis M, 2003. "Strategic Asset Allocation in a Continuous Time VAR Model," CEPR Discussion Papers 4160, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
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  13. Jérôme B. Detemple & Christos I. Giannikos, 1995. "Asset and Commodity Prices with Multiattribute Durable Goods," CIRANO Working Papers 95s-47, CIRANO. [Downloadable!]
  14. Lars Peter Hansen & Thomas J. Sargent, 2001. "Robust Control and Model Uncertainty," American Economic Review, American Economic Association, vol. 91(2), pages 60-66, May. [Downloadable!] (restricted)
  15. Monika Piazzesi & Martin Schneider, 2006. "Equilibrium Yield Curves," NBER Working Papers 12609, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  16. Maria Giduskova & Borja Larrain, 2006. "International risk-taking, volatility, and consumption growth," Communities and Banking, Federal Reserve Bank of Boston. [Downloadable!]
  17. Maurice Obstfeld, 1995. "Risk-Taking, Global Diversification, and Growth," NBER Working Papers 4093, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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