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High equity premia and crash fears. Rational foundations

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  • Massimo Guidolin

Abstract

We show that when in Lucas trees model the process for dividends is described by a lattice tree subject to infrequent but observable structural breaks, in equilibrium recursive rational learning may inflate the equity risk premium and reduce the risk-free interest rate for low levels of risk aversion. The key condition for these results to obtain is the presence of sufficient initial pessimism. The relevance of these findings is magnified by the fact that under full information our artificial economy cannot generate asset returns matching the empirical evidence for any positive relative risk aversion.

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Bibliographic Info

Paper provided by Federal Reserve Bank of St. Louis in its series Working Papers with number 2005-011.

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Date of creation: 2005
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Publication status: Published in Economic Theory, October 2006, 28(3), pp. 693-708
Handle: RePEc:fip:fedlwp:2005-011

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Keywords: Assets (Accounting) ; Rational expectations (Economic theory);

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  1. Rietz, Thomas A., 1988. "The equity risk premium a solution," Journal of Monetary Economics, Elsevier, vol. 22(1), pages 117-131, July.
  2. Mehra, Rajnish & Prescott, Edward C., 1988. "The equity risk premium: A solution?," Journal of Monetary Economics, Elsevier, vol. 22(1), pages 133-136, July.
  3. Abel, Andrew B., 2002. "An exploration of the effects of pessimism and doubt on asset returns," Journal of Economic Dynamics and Control, Elsevier, vol. 26(7-8), pages 1075-1092, July.
  4. Mordecai Kurz & Hehui Jin & Maurizio Motolese, 2005. "Determinants of stock market volatility and risk premia," Annals of Finance, Springer, vol. 1(2), pages 109-147, 07.
  5. Allan Timmermann & Massimo Guidolin, 2001. "Option Prices under Bayesian Learning: Implied Volatility Dynamics and Predictive Densities," FMG Discussion Papers dp397, Financial Markets Group.
  6. Mordecai Kurz & Maurizio Motolese, . "Endogenous Uncertainty and Market Volatility," Working Papers 99005, Stanford University, Department of Economics.
  7. Timmermann, Allan, 2001. "Structural Breaks, Incomplete Information, and Stock Prices," Journal of Business & Economic Statistics, American Statistical Association, vol. 19(3), pages 299-314, July.
  8. Massimo Guidolin, 2005. "Pessimistic beliefs under rational learning: quantitative implications for the equity premium puzzle," Working Papers 2005-005, Federal Reserve Bank of St. Louis.
  9. Massimo Guidolin & Allan Timmerman, 2005. "Properties of equilibrium asset prices under alternative learning schemes," Working Papers 2005-009, Federal Reserve Bank of St. Louis.
  10. Carsten Krabbe Nielsen, 1996. "Rational belief structures and rational belief equilibria (*)," Economic Theory, Springer, vol. 8(3), pages 399-422.
  11. Timmermann, Allan G, 1993. "How Learning in Financial Markets Generates Excess Volatility and Predictability in Stock Prices," The Quarterly Journal of Economics, MIT Press, vol. 108(4), pages 1135-45, November.
  12. R. Mehra & E. Prescott, 2010. "The equity premium: a puzzle," Levine's Working Paper Archive 1401, David K. Levine.
  13. Brennan, Michael J. & Xia, Yihong, 2001. "Stock price volatility and equity premium," Journal of Monetary Economics, Elsevier, vol. 47(2), pages 249-283, April.
  14. Robert B. Barsky & J. Bradford De Long, 1992. "Why Does the Stock Market Fluctuate?," NBER Working Papers 3995, National Bureau of Economic Research, Inc.
  15. Hansen, Lars Peter & Singleton, Kenneth J, 1983. "Stochastic Consumption, Risk Aversion, and the Temporal Behavior of Asset Returns," Journal of Political Economy, University of Chicago Press, vol. 91(2), pages 249-65, April.
  16. Pok-sang Lam & Stephen G. Cecchetti & Nelson C. Mark, 2000. "Asset Pricing with Distorted Beliefs: Are Equity Returns Too Good to Be True?," American Economic Review, American Economic Association, vol. 90(4), pages 787-805, September.
  17. Kurz, Mordecai, 1994. "On the Structure and Diversity of Rational Beliefs," Economic Theory, Springer, vol. 4(6), pages 877-900, October.
  18. Danthine, Jean-Pierre & Donaldson, John B, 1998. "Non-Falsified Expectations and General Equilibrium Asset Pricing: The Power of the Peso," CEPR Discussion Papers 1819, C.E.P.R. Discussion Papers.
  19. Lucas, Deborah J., 1994. "Asset pricing with undiversifiable income risk and short sales constraints: Deepening the equity premium puzzle," Journal of Monetary Economics, Elsevier, vol. 34(3), pages 325-341, December.
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Cited by:
  1. Emanuela Sciubba, 2006. "The evolution of portfolio rules and the capital asset pricing model," Economic Theory, Springer, vol. 29(1), pages 123-150, September.
  2. Guidolin, Massimo, 2006. "Pessimistic beliefs under rational learning: Quantitative implications for the equity premium puzzle," Journal of Economics and Business, Elsevier, vol. 58(2), pages 85-118.
  3. Guidolin, Massimo & Timmermann, Allan, 2007. "Properties of equilibrium asset prices under alternative learning schemes," Journal of Economic Dynamics and Control, Elsevier, vol. 31(1), pages 161-217, January.

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