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An estimation of economic models with recursive preferences

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  • Chen, Xiaohong
  • Favilukis, Jack
  • Ludvigson, Sydney C.

Abstract

This paper presents estimates of key preference parameters of the Epstein and Zin (1989, 1991) and Weil (1989) 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 ranges from 17 to 60, with higher values for aggregate consumption than for stockholder consumption, while the estimated elasticity of intertemporal substitution is above 1. In addition, the estimated model-implied aggregate wealth return is found to be weakly correlated with the Center for Research in Security Prices value-weighted stock market return, suggesting that the return to human wealth is negatively correlated with the aggregate stock market return.

Suggested Citation

  • Chen, Xiaohong & Favilukis, Jack & Ludvigson, Sydney C., 2013. "An estimation of economic models with recursive preferences," LSE Research Online Documents on Economics 37392, London School of Economics and Political Science, LSE Library.
    • Handle: RePEc:ehl:lserod:37392
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    References listed on IDEAS

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    1. Hansen, Lars Peter, 1982. "Large Sample Properties of Generalized Method of Moments Estimators," Econometrica, Econometric Society, vol. 50(4), pages 1029-1054, July.
    2. Orazio P. Attanasio & James Banks & Sarah Tanner, 2002. "Asset Holding and Consumption Volatility," Journal of Political Economy, University of Chicago Press, vol. 110(4), pages 771-792, August.
    3. Kocherlakota, Narayana R, 1990. "Disentangling the Coefficient of Relative Risk Aversion from the Elasticity of Intertemporal Substitution: An Irrelevance Result," Journal of Finance, American Finance Association, vol. 45(1), pages 175-190, March.
    4. 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.
    5. Fernando Restoy & Philippe Weil, 2011. "Approximate Equilibrium Asset Prices," Review of Finance, European Finance Association, vol. 15(1), pages 1-28.
    6. Campbell, John Y, 1991. "A Variance Decomposition for Stock Returns," Economic Journal, Royal Economic Society, vol. 101(405), pages 157-179, March.
    7. Xiaohong Chen & Oliver Linton & Ingrid Van Keilegom, 2003. "Estimation of Semiparametric Models when the Criterion Function Is Not Smooth," Econometrica, Econometric Society, vol. 71(5), pages 1591-1608, September.
    8. Mariano M. Croce & Martin Lettau & Sydney C. Ludvigson, 2015. "Investor Information, Long-Run Risk, and the Term Structure of Equity," The Review of Financial Studies, Society for Financial Studies, vol. 28(3), pages 706-742.
    9. Rui Castro & Claudio Campanale & Gian Luca Clementi, 2007. "Asset Pricing in a General Equilibrium Production Economy with Chew-Dekel Risk Preferences," 2007 Meeting Papers 503, Society for Economic Dynamics.
    10. Ravi Bansal & Robert Dittmar & Dana Kiku, 2009. "Cointegration and Consumption Risks in Asset Returns," The Review of Financial Studies, Society for Financial Studies, vol. 22(3), pages 1343-1375.
    11. Lars Peter Hansen & John C. Heaton & Nan Li, 2008. "Consumption Strikes Back? Measuring Long-Run Risk," Journal of Political Economy, University of Chicago Press, vol. 116(2), pages 260-302, April.
    12. Francisco Gomes & Alexander Michaelides, 2005. "Optimal Life‐Cycle Asset Allocation: Understanding the Empirical Evidence," Journal of Finance, American Finance Association, vol. 60(2), pages 869-904, April.
    13. Orazio P. Attanasio & Guglielmo Weber, 1993. "Consumption Growth, the Interest Rate and Aggregation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 60(3), pages 631-649.
    14. Larry G. Epstein & Stanley E. Zin, 2013. "Substitution, risk aversion and the temporal behavior of consumption and asset returns: A theoretical framework," World Scientific Book Chapters, in: Leonard C MacLean & William T Ziemba (ed.), HANDBOOK OF THE FUNDAMENTALS OF FINANCIAL DECISION MAKING Part I, chapter 12, pages 207-239, World Scientific Publishing Co. Pte. Ltd..
    15. Hanno Lustig, "undated". "The Wealth-Consumption Ratio: A Litmus Test for Consumption-based Asset Pricing Models," UCLA Economics Online Papers 420, UCLA Department of Economics.
    16. Stock, James H & Wright, Jonathan H & Yogo, Motohiro, 2002. "A Survey of Weak Instruments and Weak Identification in Generalized Method of Moments," Journal of Business & Economic Statistics, American Statistical Association, vol. 20(4), pages 518-529, October.
    17. Lars Peter Hansen & Jose A. Scheinkman, 2012. "Recursive utility in a Markov environment with stochastic growth," Working Papers 1380, Princeton University, Department of Economics, Econometric Research Program..
    18. Monika Piazzesi & Martin Schneider, 2007. "Equilibrium Yield Curves," NBER Chapters, in: NBER Macroeconomics Annual 2006, Volume 21, pages 389-472, National Bureau of Economic Research, Inc.
    19. repec:hal:spmain:info:hdl:2441/8644 is not listed on IDEAS
    20. Dirk Krueger & Felix Kubler, 2006. "Pareto-Improving Social Security Reform when Financial Markets are Incomplete!?," American Economic Review, American Economic Association, vol. 96(3), pages 737-755, June.
    21. 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.
    22. 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.
    23. 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.
    24. Newey, Whitney K, 1994. "The Asymptotic Variance of Semiparametric Estimators," Econometrica, Econometric Society, vol. 62(6), pages 1349-1382, November.
    25. Ravi Bansal & A. Ronald Gallant & George Tauchen, 2007. "Rational Pessimism, Rational Exuberance, and Asset Pricing Models," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 74(4), pages 1005-1033.
    26. Riccardo Colacito & Mariano M. Croce, 2011. "Risks for the Long Run and the Real Exchange Rate," Journal of Political Economy, University of Chicago Press, vol. 119(1), pages 153-181.
    27. 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.
    28. Hodrick, Robert J, 1992. "Dividend Yields and Expected Stock Returns: Alternative Procedures for Inference and Measurement," The Review of Financial Studies, Society for Financial Studies, vol. 5(3), pages 357-386.
    29. Hanno Lustig & Stijn Van Nieuwerburgh, 2008. "The Returns on Human Capital: Good News on Wall Street is Bad News on Main Street," The Review of Financial Studies, Society for Financial Studies, vol. 21(5), pages 2097-2137, September.
    30. repec:bla:jfinan:v:59:y:2004:i:4:p:1481-1509 is not listed on IDEAS
    31. Chen, Xiaohong, 2007. "Large Sample Sieve Estimation of Semi-Nonparametric Models," Handbook of Econometrics, in: J.J. Heckman & E.E. Leamer (ed.), Handbook of Econometrics, edition 1, volume 6, chapter 76, Elsevier.
    32. Newey, Whitney & West, Kenneth, 2014. "A simple, positive semi-definite, heteroscedasticity and autocorrelation consistent covariance matrix," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 33(1), pages 125-132.
    33. Mariano M. Croce, 2006. "Welfare Costs, Long Run Consumption Risk, and a Production Economy," 2006 Meeting Papers 582, Society for Economic Dynamics.
    34. 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.
    35. Whitney K. Newey & James L. Powell, 2003. "Instrumental Variable Estimation of Nonparametric Models," Econometrica, Econometric Society, vol. 71(5), pages 1565-1578, September.
    36. Heaton, John, 1993. "The Interaction between Time-Nonseparable Preferences and Time Aggregation," Econometrica, Econometric Society, vol. 61(2), pages 353-385, March.
    37. Attanasio, Orazio P & Weber, Guglielmo, 1989. "Intertemporal Substitution, Risk Aversion and the Euler Equation for Consumption," Economic Journal, Royal Economic Society, vol. 99(395), pages 59-73, Supplemen.
    38. repec:hal:wpspec:info:hdl:2441/8644 is not listed on IDEAS
    39. Hansen, Lars Peter & Singleton, Kenneth J, 1982. "Generalized Instrumental Variables Estimation of Nonlinear Rational Expectations Models," Econometrica, Econometric Society, vol. 50(5), pages 1269-1286, September.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    Consumption based asset pricing; semiparametric estimation; limited stock market participation;
    All these keywords.

    JEL classification:

    • E21 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Consumption; Saving; Wealth
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates

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