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

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  • Bhamra, Harjoat S.
  • Uppal, Raman

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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Bibliographic Info

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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Keywords: decision making; intertemporal optimization;

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References

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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.
  2. 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.
  3. 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.
  4. LuisM. Viceira & John Y. Campbell, 2001. "Who Should Buy Long-Term Bonds?," American Economic Review, American Economic Association, vol. 91(1), pages 99-127, March.
  5. 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.
  6. 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.
  7. Dumas, Bernard & Uppal, Raman, 2001. "Global Diversification, Growth, and Welfare with Imperfectly Integrated Markets for Goods," Review of Financial Studies, Society for Financial Studies, vol. 14(1), pages 277-305.
  8. repec:fth:harver:1421 is not listed on IDEAS
  9. Campbell, John Y. & Viceira, Luis M., 2002. "Strategic Asset Allocation: Portfolio Choice for Long-Term Investors," OUP Catalogue, Oxford University Press, number 9780198296942, September.
  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.
  11. Svensson, Lars E. O., 1989. "Portfolio choice with non-expected utility in continuous time," Economics Letters, Elsevier, vol. 30(4), pages 313-317, October.
  12. Schroder, Mark & Skiadas, Costis, 2003. "Optimal lifetime consumption-portfolio strategies under trading constraints and generalized recursive preferences," Stochastic Processes and their Applications, Elsevier, vol. 108(2), pages 155-202, December.
  13. Weil, Philippe, 1990. "Nonexpected Utility in Macroeconomics," The Quarterly Journal of Economics, MIT Press, vol. 105(1), pages 29-42, February.
  14. 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.
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Citations

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Cited by:
  1. Stephen Satchell & Susan Thorp & Oliver Williams, 2012. "Estimating Consumption Plans for Recursive Utility by Maximum Entropy Methods," Research Paper Series 300, Quantitative Finance Research Centre, University of Technology, Sydney.
  2. Theodoros Diasakos, 2008. "Comparative Statics of Asset Prices," Carlo Alberto Notebooks 72, Collegio Carlo Alberto, revised 2011.
  3. Isaenko, Sergei, 2008. "The term structure of interest rates in a pure exchange economy where investors have heterogeneous recursive preferences," The Quarterly Review of Economics and Finance, Elsevier, vol. 48(3), pages 457-481, August.
  4. Su, Yongyang & Lau, Marco Chi Keung, 2010. "Strategic asset allocation and intertemporal demands: with commodities as an asset class," MPRA Paper 26337, University Library of Munich, Germany.
  5. Stephen Satchell & Susan Thorp, 2007. "Scenario Analysis with Recursive Utility: Dynamic Consumption Plans for Charitable Endowments," Research Paper Series 209, Quantitative Finance Research Centre, University of Technology, Sydney.
  6. 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.
  7. Gollier, Christian, 2007. "Understanding Saving and Portfolio Choices with Predictable Changes in Assets Returns," IDEI Working Papers 430, Institut d'Économie Industrielle (IDEI), Toulouse.
  8. Rapach, David E. & Wohar, Mark E., 2009. "Multi-period portfolio choice and the intertemporal hedging demands for stocks and bonds: International evidence," Journal of International Money and Finance, Elsevier, vol. 28(3), pages 427-453, April.
  9. Roche, Hervé, 2011. "Asset prices in an exchange economy when agents have heterogeneous homothetic recursive preferences and no risk free bond is available," Journal of Economic Dynamics and Control, Elsevier, vol. 35(1), pages 80-96, January.
  10. Branger, Nicole & Schlag, Christian & Schneider, Eva, 2008. "Optimal portfolios when volatility can jump," Journal of Banking & Finance, Elsevier, vol. 32(6), pages 1087-1097, June.

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