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Euler Equation Errors

  • Martin Lettau

    (University of California, Berkeley)

  • Sydney Ludvigson

    (New York University)

The standard, representative agent, consumption-based asset pricing theory based on CRRA utility fails to explain the average returns of risky assets. When evaluated on cross-sections of stock returns, the model generates economically large unconditional Euler equation errors. Unlike the equity premium puzzle, these large Euler equation errors cannot be resolved with high values of risk aversion. To explain why the standard model fails, we need to develop alternative models that can rationalize its large pricing errors. We evaluate whether four newer theories at the vanguard of consumption-based asset pricing can explain the large Euler equation errors of the standard consumption-based model. In each case, we find that the alternative theory counterfactually implies that the standard model has negligible Euler equation errors. We show that the models miss on this dimension because they mischaracterize the joint behavior of consumption and asset returns in recessions, when aggregate consumption is falling. By contrast, a simple model in which aggregate consumption growth and stockholder consumption growth are highly correlated most of the time, but have low or negative correlation in severe recessions, produces violations of the standard model's Euler equations and departures from joint lognormality that are remarkably similar to those found in the data. (Copyright: Elsevier)

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Article provided by Elsevier for the Society for Economic Dynamics in its journal Review of Economic Dynamics.

Volume (Year): 12 (2009)
Issue (Month): 2 (April)
Pages: 255-283

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Handle: RePEc:red:issued:08-106
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  1. John Y. Campbell & John H. Cochrane, 1994. "By force of habit: a consumption-based explanation of aggregate stock market behavior," Working Papers 94-17, Federal Reserve Bank of Philadelphia.
  2. Sydney Ludvigson, 1999. "Consumption And Credit: A Model Of Time-Varying Liquidity Constraints," The Review of Economics and Statistics, MIT Press, vol. 81(3), pages 434-447, August.
  3. 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.
  4. Martin Lettau & Sydney C. Ludvigson, 2005. "Euler Equation Errors," NBER Working Papers 11606, National Bureau of Economic Research, Inc.
  5. Hui Guo, 2003. "Limited stock market participation and asset prices in a dynamic economy," Working Papers 2000-031, Federal Reserve Bank of St. Louis.
  6. Cogley, Timothy & Sargent, Thomas J., 2008. "The market price of risk and the equity premium: A legacy of the Great Depression?," Journal of Monetary Economics, Elsevier, vol. 55(3), pages 454-476, April.
  7. Angelo Melino & Alan X. Yang, 2003. "State Dependent Preferences Can Explain the Equity Premium Puzzle," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 6(4), pages 806-830, October.
  8. Lior Menzly & Tano Santos & Pietro Veronesi, 2004. "Understanding Predictability," Journal of Political Economy, University of Chicago Press, vol. 112(1), pages 1-47, February.
  9. Ravi Jagannathan & Yong Wang, 2005. "Consumption Risk and the Cost of Equity Capital," NBER Working Papers 11026, National Bureau of Economic Research, Inc.
  10. Martin Lettau & Sydney Ludvigson, 2003. "Expected Returns and Expected Dividend Growth," NBER Working Papers 9605, National Bureau of Economic Research, Inc.
  11. Ravi Bansal & Amir Yaron, 2004. "Risks for the Long Run: A Potential Resolution of Asset Pricing Puzzles," Journal of Finance, American Finance Association, vol. 59(4), pages 1481-1509, 08.
  12. 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 175-90, March.
  13. John Y. Campbell, 2002. "Consumption-Based Asset Pricing," Harvard Institute of Economic Research Working Papers 1974, Harvard - Institute of Economic Research.
  14. Mehra, Rajnish & Prescott, Edward C., 1985. "The equity premium: A puzzle," Journal of Monetary Economics, Elsevier, vol. 15(2), pages 145-161, March.
  15. Tim W. Cogley & Thomas J. Sargent, 2005. "The Market Price of Risk and the Equity Premium," Working Papers 522, University of California, Davis, Department of Economics.
  16. Gallant, Ronald & Tauchen, George, 1989. "Seminonparametric Estimation of Conditionally Constrained Heterogeneous Processes: Asset Pricing Applications," Econometrica, Econometric Society, vol. 57(5), pages 1091-1120, September.
  17. 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.
  18. Fatih Guvenen, 2005. "A Parsimonious Macroeconomic Model for Asset Pricing: Habit Formation of Cross-sectional Heterogeneity?," Finance 0507009, EconWPA.
  19. John Heaton & Deborah Lucas, 1993. "Evaluating the Effects of Incomplete Markets on Risk Sharing and Asset Pricing," NBER Working Papers 4249, National Bureau of Economic Research, Inc.
  20. Gordon, Stephen & St-Amour, Pascal, 2003. "Asset Returns and State-Dependent Risk Preferences," Cahiers de recherche 0316, CIRPEE.
  21. Hansen, Lars Peter & Singleton, Kenneth J, 1982. "Generalized Instrumental Variables Estimation of Nonlinear Rational Expectations Models," Econometrica, Econometric Society, vol. 50(5), pages 1269-86, September.
  22. Hansen, Lars Peter, 1982. "Large Sample Properties of Generalized Method of Moments Estimators," Econometrica, Econometric Society, vol. 50(4), pages 1029-54, July.
  23. Luttmer, Erzo G J, 1996. "Asset Pricing in Economies with Frictions," Econometrica, Econometric Society, vol. 64(6), pages 1439-67, November.
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