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An Estimation of Economic Models with Recursive Preferences

  • Sydney Ludvigson

    (NYU)

  • Jack Favalukus

    (NYU)

  • Xiaohong Chen

    (NYU)

This paper presents estimates of key preference parameters of the Epstein and Zin (1989, 1991) and Weil (1989) (EZW) recursive utility model, evaluates the model's ability to fit asset return data relative to other asset pricing models, and investigates the implications of such estimates for the unobservable aggregate wealth return. Our empirical results indicate that the estimated relative risk aversion parameter is high, ranging from 17-60, with higher values for aggregate consumption than for stockholder consumption, while the estimated elasticity of intertemporal substitution is above one. In addition, the estimated model-implied aggregate wealth return is found to be weakly correlated with the CRSP value-weighted stock market return, suggesting that the return to human wealth is negatively correlated with the aggregate stock market return. In quarterly data from 1952 to 2005, we find that an SMD estimated EZW recursive utility model can explain a cross-section of size and book-market sorted portfolio equity returns better than the standard consumption-based model based on power utility and better than the Lettau and ludvigson (2001) cay-scaled consumption CAPM model, but not as well as the Fama and french 1993 three-factor model with financial returns as risk factors.

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Paper provided by Society for Economic Dynamics in its series 2007 Meeting Papers with number 543.

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Date of creation: 2007
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Handle: RePEc:red:sed007:543
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Society for Economic Dynamics Marina Azzimonti Department of Economics Stonybrook University 10 Nicolls Road Stonybrook NY 11790 USA

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  1. Ravi Bansal & Robert Dittmar & Dana Kiku, 2007. "Cointegration and Consumption Risks in Asset Returns," NBER Working Papers 13108, National Bureau of Economic Research, Inc.
  2. Mariano M. Croce & Martin Lettau & Sydney C. Ludvigson, 2007. "Investor Information, Long-Run Risk, and the Term Structure of Equity," NBER Working Papers 12912, National Bureau of Economic Research, Inc.
  3. 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.
  4. Hanno Lustig & Stijn Van Nieuwerburgh, 2005. "The Returns on Human Capital: Good News on Wall Street is Bad News on Main Street," NBER Working Papers 11564, National Bureau of Economic Research, Inc.
  5. Riccardo Colacito & Mariano Croce, 2005. "Risks For The Long Run And The Real Exchange Rate," 2005 Meeting Papers 794, Society for Economic Dynamics.
  6. Orazio P. Attanasio & Guglielmo Weber, 1993. "Consumption Growth, the Interest Rate and Aggregation," Review of Economic Studies, Oxford University Press, vol. 60(3), pages 631-649.
  7. Ai, Chunrong & Chen, Xiaohong, 2007. "Estimation of possibly misspecified semiparametric conditional moment restriction models with different conditioning variables," Journal of Econometrics, Elsevier, vol. 141(1), pages 5-43, November.
  8. Dirk Krueger & Felix Kubler, 2003. "Pareto Improving Social Security Reform when Financial Markets are Incomplete?," NBER Working Papers 9410, National Bureau of Economic Research, Inc.
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  11. Chunrong Ai & Xiaohong Chen, 2003. "Efficient Estimation of Models with Conditional Moment Restrictions Containing Unknown Functions," Econometrica, Econometric Society, vol. 71(6), pages 1795-1843, November.
  12. Annette Vissing-Jorgensen, 2002. "Limited Asset Market Participation and the Elasticity of Intertemporal Substitution," NBER Working Papers 8896, National Bureau of Economic Research, Inc.
  13. Phillippe Weil, 1997. "The Equity Premium Puzzle and the Risk-Free Rate Puzzle," Levine's Working Paper Archive 1833, David K. Levine.
  14. Xavier Gabaix & David Laibson, 2002. "The 6D Bias and the Equity-Premium Puzzle," NBER Chapters, in: NBER Macroeconomics Annual 2001, Volume 16, pages 257-330 National Bureau of Economic Research, Inc.
  15. Hodrick, Robert J, 1992. "Dividend Yields and Expected Stock Returns: Alternative Procedures for Inference and Measurement," Review of Financial Studies, Society for Financial Studies, vol. 5(3), pages 357-86.
  16. Stijn Van Nieuwerburgh & Hanno Lustig, 2007. "The Wealth-Consumption Ratio: A Litmus Test for Consumption-Based Asset Pricing Models," 2007 Meeting Papers 398, Society for Economic Dynamics.
  17. Annette Vissing-Jorgensen, 2002. "Limited Asset Market Participation and the Elasticity of Intertemporal Substitution," Journal of Political Economy, University of Chicago Press, vol. 110(4), pages 825-853, August.
  18. Claudio Campanale & Gian Luca Clementi & Rui Castro, 2008. "Asset Pricing in a General Equilibrium Production Economy with Chew-Dekel Risk Preferences," Working Papers. Serie AD 2008-14, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  19. Hansen, Lars Peter & Heaton, John & Lee, Junghoon & Roussanov, Nikolai, 2007. "Intertemporal Substitution and Risk Aversion," Handbook of Econometrics, in: J.J. Heckman & E.E. Leamer (ed.), Handbook of Econometrics, edition 1, volume 6, chapter 61 Elsevier.
  20. Fernando Restoy & Philippe Weil, 1998. "Approximate Equilibrium Asset Prices," Sciences Po publications 6611, Sciences Po.
  21. Heaton, John, 1993. "The Interaction between Time-Nonseparable Preferences and Time Aggregation," Econometrica, Econometric Society, vol. 61(2), pages 353-85, March.
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