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The Market Price of Risk and the Equity Premium

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Author Info

  • Tim W. Cogley
  • Thomas J. Sargent

    (Department of Economics, University of California Davis)

Abstract

Friedman and Schwartz hypothesized that the Great Depression created ex- aggerated fears of economic instability. We quantify their idea by using a robustness calculation to shatter a representative consumer’s initial confidence in the parameters of a two-state Markov chain that truly governs consump- tion growth. The assumption that the consumption data come from the true Markov chain and the consumer’s use of Bayes’ law cause that initial pessimism to wear off. But so long as it persists, the representative consumer’s pessimism contributes a volatile multiplicative component to the stochastic discount factor that would be measured by a rational expectation econometrician. We study how this component affects asset prices. We find settings of our parameters that make pessimism wear off slowly enough to allow our model to generate substantial values for the market price of risk and the equity premium.

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Bibliographic Info

Paper provided by University of California, Davis, Department of Economics in its series Working Papers with number 522.

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Length: 32
Date of creation: 01 Mar 2005
Date of revision:
Handle: RePEc:cda:wpaper:05-22

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Related research

Keywords: market; risk; equity premium; asset pricing;

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References

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  1. Olivier J. Blanchard, 1993. "Movements in the Equity Premium," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 24(2), pages 75-138.
  2. Rietz, Thomas A., 1988. "The equity risk premium a solution," Journal of Monetary Economics, Elsevier, vol. 22(1), pages 117-131, July.
  3. Mehra, Rajnish & Prescott, Edward C., 1985. "The equity premium: A puzzle," Journal of Monetary Economics, Elsevier, vol. 15(2), pages 145-161, March.
  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. Ravi Jagannathan & Ellen R. McGrattan & Anna Scherbina, 2001. "The Declining U.S. Equity Premium," NBER Working Papers 8172, National Bureau of Economic Research, Inc.
  6. 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.
  7. Shmuel Kandel & Robert F. Stambaugh, 1991. "Asset Returns and Intertemporal Preferences," NBER Working Papers 3633, National Bureau of Economic Research, Inc.
  8. Eugene F. Fama & Kenneth R. French, 2002. "The Equity Premium," Journal of Finance, American Finance Association, vol. 57(2), pages 637-659, 04.
  9. Thomas Tallarini, . "Risk-Sensitive Real Business Cycles," GSIA Working Papers 1997-35, Carnegie Mellon University, Tepper School of Business.
  10. Gallant, A. Ronald & Hansen, Lars Peter & Tauchen, George, 1990. "Using conditional moments of asset payoffs to infer the volatility of intertemporal marginal rates of substitution," Journal of Econometrics, Elsevier, vol. 45(1-2), pages 141-179.
  11. Barsky, Robert B & De Long, J Bradford, 1993. "Why Does the Stock Market Fluctuate?," The Quarterly Journal of Economics, MIT Press, vol. 108(2), pages 291-311, May.
  12. Lars Peter Hansen & Ravi Jagannathan, 1990. "Implications of security market data for models of dynamic economies," Discussion Paper / Institute for Empirical Macroeconomics 29, Federal Reserve Bank of Minneapolis.
  13. Lars Peter Hansen & Thomas J. Sargent & Thomas D. Tallarini Jr., 1997. "Robust Permanent Income and Pricing," Levine's Working Paper Archive 596, David K. Levine.
  14. Stephen G. Cecchetti & Pok-sang Lam & Nelson C. Mark, 1998. "Asset Pricing with Distorted Beliefs: Are Equity Returns Too Good To Be True?," NBER Working Papers 6354, National Bureau of Economic Research, Inc.
  15. John H. Cochrane & Lars Peter Hansen, 1993. "Asset Pricing Explorations for Macroeconomics," NBER Working Papers 4088, National Bureau of Economic Research, Inc.
  16. Brandt, M.W.Michael W. & Zeng, Qi & Zhang, Lu, 2004. "Equilibrium stock return dynamics under alternative rules of learning about hidden states," Journal of Economic Dynamics and Control, Elsevier, vol. 28(10), pages 1925-1954, September.
  17. 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.
  18. Hamilton, James D, 1989. "A New Approach to the Economic Analysis of Nonstationary Time Series and the Business Cycle," Econometrica, Econometric Society, vol. 57(2), pages 357-84, March.
  19. Hansen, Lars Peter & Sargent, Thomas J. & Wang, Neng E., 2002. "Robust Permanent Income And Pricing With Filtering," Macroeconomic Dynamics, Cambridge University Press, vol. 6(01), pages 40-84, February.
  20. Marco Cagetti & Lars Peter Hansen & Thomas Sargent & Noah Williams, 2002. "Robustness and Pricing with Uncertain Growth," Review of Financial Studies, Society for Financial Studies, vol. 15(2), pages 363-404, March.
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Cited by:
  1. Lettau, Martin & Ludvigson, Sydney, 2005. "Euler Equation Errors," CEPR Discussion Papers 5245, C.E.P.R. Discussion Papers.

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