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The Role of Risk Aversion and Intertemporal Substitution in Dynamic Consumption-Portfolio Choicewith Recursive Utility

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Author Info
Bhamra, Harjoat S.
Uppal, Raman

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Abstract

The objective of this paper is to understand the implications for consumption and portfolio choice of the separation of an investor’s risk aversion and elasticity of intertemporal substitution that is made possible by recursive utility, in contrast to expected utility, where the two are governed by the same parameter. In particular, we study exactly how risk aversion and elasticity of intertemporal substitution affect optimal dynamic consumption and portfolio decisions. For a three-date, discrete-time model with a stochastic interest rate, we obtain an exact analytic solution for the optimal consumption and portfolio policies. We find that, in general, the consumption and portfolio decisions depend on both risk aversion and the elasticity of intertemporal substitution. Only in the case where the investment opportunity set is constant, is the optimal portfolio weight independent of the elasticity of intertemporal substitution. We also find that the size of risk aversion relative to unity determines the sign of the intertemporal hedging component in the optimal portfolio, while elasticity of intertemporal substitution affects only the magnitude of the hedging component.

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Paper provided by C.E.P.R. Discussion Papers in its series CEPR Discussion Papers with number 5020.

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Date of creation: Apr 2005
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Handle: RePEc:cpr:ceprdp:5020

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Related research
Keywords: decision making intertemporal optimization

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Find related papers by JEL classification:
D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
D91 - Microeconomics - - Intertemporal Choice and Growth - - - Intertemporal Consumer Choice; Life Cycle Models and Saving
G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions

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  1. Obstfeld, Maurice, 1994. "Risk-Taking, Global Diversification, and Growth," American Economic Review, American Economic Association, vol. 84(5), pages 1310-29, December. [Downloadable!] (restricted)
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  2. Dumas, Bernard & Uppal, Raman, 2001. "Global Diversification, Growth, and Welfare with Imperfectly Integrated Markets for Goods," Review of Financial Studies, Oxford University Press for Society for Financial Studies, vol. 14(1), pages 277-305.
  3. Weil, Philippe, 1990. "Nonexpected Utility in Macroeconomics," The Quarterly Journal of Economics, MIT Press, vol. 105(1), pages 29-42, February. [Downloadable!] (restricted)
  4. Alberto Giovannini & Philippe Weil, 1989. "Risk Aversion and Intertemporal Substitution in the Capital Asset Pricing Model," NBER Working Papers 2824, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  5. Kreps, David M & Porteus, Evan L, 1978. "Temporal Resolution of Uncertainty and Dynamic Choice Theory," Econometrica, Econometric Society, vol. 46(1), pages 185-200, January. [Downloadable!] (restricted)
  6. repec:fth:harver:1421 is not listed on IDEAS
  7. Chacko, George & Viceira, Luis M, 2005. "Dynamic Consumption and Portfolio Choice with Stochastic Volatility in Incomplete Markets," CEPR Discussion Papers 4913, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
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  8. Svensson, Lars E. O., 1989. "Portfolio choice with non-expected utility in continuous time," Economics Letters, Elsevier, vol. 30(4), pages 313-317, October. [Downloadable!] (restricted)
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  9. John Y. Campbell & Luis M. Viceira, 1998. "Who Should Buy Long-Term Bonds?," NBER Working Papers 6801, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  10. Schroder, Mark & Skiadas, Costis, 1999. "Optimal Consumption and Portfolio Selection with Stochastic Differential Utility," Journal of Economic Theory, Elsevier, vol. 89(1), pages 68-126, November. [Downloadable!] (restricted)
  11. Weil, Philippe, 1989. "The equity premium puzzle and the risk-free rate puzzle," Journal of Monetary Economics, Elsevier, vol. 24(3), pages 401-421, November. [Downloadable!] (restricted)
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  12. Epstein, Larry G & Zin, Stanley E, 1989. "Substitution, Risk Aversion, and the Temporal Behavior of Consumption and Asset Returns: A Theoretical Framework," Econometrica, Econometric Society, vol. 57(4), pages 937-69, July. [Downloadable!] (restricted)
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. GOLLIER, Christian, 2007. "Understanding Saving and Portfolio Choices with Predictable Changes in Assets Returns," IDEI Working Papers 430, Institut d'Économie Industrielle (IDEI), Toulouse. [Downloadable!]
    Other versions:
  2. Theodoros Diasakos, 2008. "Comparative Statics of General Equilibrium Asset Prices," Carlo Alberto Notebooks 72, Collegio Carlo Alberto. [Downloadable!]
  3. Pierre-André Chiappori & Monica Paiella, 2008. "Relative Risk Aversion Is Constant: Evidence from Panel Data," Discussion Papers 5_2008, D.E.S. (Department of Economic Studies), University of Naples "Parthenope", Italy. [Downloadable!]
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