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On the Consequences of State Dependent Preferences for the Pricing of Financial Assets

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  • Jean-Pierre Danthine
  • John B. Donaldson
  • Christos Giannikos
  • Hany Guirguis

Abstract

This paper introduces state dependent utility into the standard Mehra and Prescott (1985) economy by allowing the representative agent's coefficient of relative risk aversion to vary with the underlying economy's growth rate. Existence of equilibrium is proved and its asymptotic properties analyzed. This generalization leads to level dependent marginal rates of substitution, a property that sharply distinguishes this model from the standard construct. For very low coefficients of relative risk aversion, the equilibrium risk free and risky security returns are demonstrated to have volatilities and an associated equity premium that substantially exceed what is found in the data. This provides a contrasting perspective on the classic "equity premium puzzle."

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Bibliographic Info

Paper provided by Université de Lausanne, Faculté des HEC, DEEP in its series Cahiers de Recherches Economiques du Département d'Econométrie et d'Economie politique (DEEP) with number 02.17.

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Length: 33 pp.
Date of creation: Oct 2002
Date of revision:
Handle: RePEc:lau:crdeep:02.17

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Postal: Université de Lausanne, Faculté des HEC, DEEP, Internef, CH-1015 Lausanne
Phone: ++41 21 692.33.64
Fax: ++41 21 692.33.05
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Web page: http://www.hec.unil.ch/deep/publications/cahiers/series
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Keywords: state dependent utility; equity premium; equity premium puzzle;

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References

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  1. 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.
  2. Phillippe Weil, 1997. "The Equity Premium Puzzle and the Risk-Free Rate Puzzle," Levine's Working Paper Archive 1833, David K. Levine.
  3. Nygren, Thomas E. & Isen, Alice M. & Taylor, Pamela J. & Dulin, Jessica, 1996. "The Influence of Positive Affect on the Decision Rule in Risk Situations: Focus on Outcome (and Especially Avoidance of Loss) Rather Than Probability," Organizational Behavior and Human Decision Processes, Elsevier, vol. 66(1), pages 59-72, April.
  4. R. Mehra & E. Prescott, 2010. "The equity premium: a puzzle," Levine's Working Paper Archive 1401, David K. Levine.
  5. Angelo Melino & Alan X. Yang, 2003. "State Dependent Preferences Can Explain the Equity Premium Puzzle," Working Papers melino-03-01, University of Toronto, Department of Economics.
  6. Rajnish Mehra & Raaj Sah, 1999. "Can Small Fluctuations in Investors' Subjective Preferences Induce Large Volatility in Equity Prices?," Working Papers 9917, Harris School of Public Policy Studies, University of Chicago.
  7. Constantinides, George M, 1990. "Habit Formation: A Resolution of the Equity Premium Puzzle," Journal of Political Economy, University of Chicago Press, vol. 98(3), pages 519-43, June.
  8. John Y. Campbell & John H. Cochrane, 1994. "By Force of Habit: A Consumption-Based Explanation of Aggregate Stock Market Behavior," CRSP working papers 412, Center for Research in Security Prices, Graduate School of Business, University of Chicago.
  9. Antonio Falato, 2003. "Happiness Maintenance and Asset Prices," Finance 0310003, EconWPA.
  10. Bosch-Domenech, Antoni & Silvestre, Joaquim, 1999. "Does risk aversion or attraction depend on income? An experiment," Economics Letters, Elsevier, vol. 65(3), pages 265-273, December.
  11. Lucas, Robert E, Jr, 1978. "Asset Prices in an Exchange Economy," Econometrica, Econometric Society, vol. 46(6), pages 1429-45, November.
  12. Isen, Alice M. & Geva, Nehemia, 1987. "The influence of positive affect on acceptable level of risk: The person with a large canoe has a large worry," Organizational Behavior and Human Decision Processes, Elsevier, vol. 39(2), pages 145-154, April.
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Cited by:
  1. Miroslav Misina, 2003. "What Does the Risk-Appetite Index Measure?," Working Papers 03-23, Bank of Canada.
  2. Felix KUBLER & Karl SCHMEDDERS, . "Non-parametric counterfactual analysis in dynamic general equilibrium," Swiss Finance Institute Research Paper Series 09-05, Swiss Finance Institute.
  3. Kraus, Alan & Sagi, Jacob S., 2006. "Asset pricing with unforeseen contingencies," Journal of Financial Economics, Elsevier, vol. 82(2), pages 417-453, November.
  4. Jaime A. Londo\~no, 2006. "State Dependent Utility," Papers math/0603316, arXiv.org.
  5. Antonio Falato, 2008. "Happiness maintenance and asset prices," Finance and Economics Discussion Series 2008-19, Board of Governors of the Federal Reserve System (U.S.).
  6. John Donaldson & Rajnish Mehra, 2007. "Risk Based Explanations of the Equity Premium," NBER Working Papers 13220, National Bureau of Economic Research, Inc.
  7. Miroslav Misina, 2005. "Risk Perceptions and Attitudes," Working Papers 05-17, Bank of Canada.
  8. Falato, Antonio, 2009. "Happiness maintenance and asset prices," Journal of Economic Dynamics and Control, Elsevier, vol. 33(6), pages 1247-1262, June.
  9. Pascal St-Amour, 2004. "Ratchet vs Blasé Investors and Asset Markets," CIRANO Working Papers 2004s-11, CIRANO.
  10. Dominique Pepin, 2011. "Instabilité des comportements et cycles financiers : une relecture dans un cadre rationnel avec préférences endogènes," Working Papers hal-00960012, HAL.

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