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

Author

Listed:
  • 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."

Suggested Citation

  • Jean-Pierre Danthine & John B. Donaldson & Christos Giannikos & Hany Guirguis, 2002. "On the Consequences of State Dependent Preferences for the Pricing of Financial Assets," Cahiers de Recherches Economiques du Département d'économie 02.17, Université de Lausanne, Faculté des HEC, Département d’économie.
    • Handle: RePEc:lau:crdeep:02.17
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    References listed on IDEAS

    as
    1. Mehra, Rajnish & Prescott, Edward C., 1985. "The equity premium: A puzzle," Journal of Monetary Economics, Elsevier, vol. 15(2), pages 145-161, March.
    2. 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.
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    4. Lucas, Robert E, Jr, 1978. "Asset Prices in an Exchange Economy," Econometrica, Econometric Society, vol. 46(6), pages 1429-1445, November.
    5. Danthine, Jean-Pierre & Donaldson, John B. & Giannikos, Christos & Guirguis, Hany, 2004. "On the consequences of state dependent preferences for the pricing of financial assets," Finance Research Letters, Elsevier, vol. 1(3), pages 143-153, September.
    6. Gordon S. & St-Amour P., 2004. "Asset Returns and State-Dependent Risk Preferences," Journal of Business & Economic Statistics, American Statistical Association, vol. 22, pages 241-252, July.
    7. John Y. Campbell & John Cochrane, 1999. "Force of Habit: A Consumption-Based Explanation of Aggregate Stock Market Behavior," Journal of Political Economy, University of Chicago Press, vol. 107(2), pages 205-251, April.
    8. Mehra, Rajnish & Sah, Raaj, 2002. "Mood fluctuations, projection bias, and volatility of equity prices," Journal of Economic Dynamics and Control, Elsevier, vol. 26(5), pages 869-887, May.
    9. Falato, Antonio, 2009. "Happiness maintenance and asset prices," Journal of Economic Dynamics and Control, Elsevier, vol. 33(6), pages 1247-1262, June.
    10. 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 519-543, June.
    11. 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.
    12. 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.
    13. 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.
    14. 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.
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    Cited by:

    1. Danthine, Jean-Pierre & Donaldson, John B. & Giannikos, Christos & Guirguis, Hany, 2004. "On the consequences of state dependent preferences for the pricing of financial assets," Finance Research Letters, Elsevier, vol. 1(3), pages 143-153, September.
    2. Luz Rocío Sotomayor & Abel Cadenillas, 2009. "Explicit Solutions Of Consumption‐Investment Problems In Financial Markets With Regime Switching," Mathematical Finance, Wiley Blackwell, vol. 19(2), pages 251-279, April.
    3. Dominique Pépin & Stephen Miller, 2020. "The Time-Varying Nature of Risk Aversion: Evidence from 60 Years of U.S. Stock Market Data," Post-Print hal-04648224, HAL.
    4. Falato, Antonio, 2009. "Happiness maintenance and asset prices," Journal of Economic Dynamics and Control, Elsevier, vol. 33(6), pages 1247-1262, June.
    5. Pascal St-Amour, 2004. "Ratchet vs Blasé Investors and Asset Markets," CIRANO Working Papers 2004s-11, CIRANO.
    6. Felix Kubler & Karl Schmedders, 2010. "Non-parametric counterfactual analysis in dynamic general equilibrium," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 45(1), pages 181-200, October.
    7. Miroslav Misina, 2003. "What does the risk-appetite index measure?," Economics Bulletin, AccessEcon, vol. 28(6), pages 1-6.
    8. Miroslav Misina, 2005. "Risk Perceptions and Attitudes," Staff Working Papers 05-17, Bank of Canada.
    9. Luiz Vitiello & Ser-Huang Poon, 2022. "Option pricing with random risk aversion," Review of Quantitative Finance and Accounting, Springer, vol. 58(4), pages 1665-1684, May.
    10. Dominique Pépin & Stephen Miller, 2020. "The Time-Varying Nature of Risk Aversion: Evidence from 60 Years of U.S. Stock Market Data," Post-Print hal-04648224, HAL.
    11. Amadeu DaSilva & Mira Farka & Christos Giannikos, 2011. "Habit Formation in an Overlapping Generations Model with Borrowing Constraints," European Financial Management, European Financial Management Association, vol. 17(4), pages 705-725, September.
    12. Dominique Pepin, 2011. "Instabilité des comportements et cycles financiers : une relecture dans un cadre rationnel avec préférences endogènes," Working Papers hal-00960012, HAL.
    13. Kraus, Alan & Sagi, Jacob S., 2006. "Asset pricing with unforeseen contingencies," Journal of Financial Economics, Elsevier, vol. 82(2), pages 417-453, November.
    14. Traian A. Pirvu & Huayue Zhang, 2012. "A Multi Period Equilibrium Pricing Model," Papers 1205.6193, arXiv.org.
    15. Berrada, Tony & Detemple, Jérôme & Rindisbacher, Marcel, 2018. "Asset pricing with beliefs-dependent risk aversion and learning," Journal of Financial Economics, Elsevier, vol. 128(3), pages 504-534.
    16. John Donaldson & Rajnish Mehra, 2007. "Risk Based Explanations of the Equity Premium," NBER Working Papers 13220, National Bureau of Economic Research, Inc.
    17. Jaime A. Londo~no, 2006. "State Dependent Utility," Papers math/0603316, arXiv.org.

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    More about this item

    Keywords

    state dependent utility; equity premium; equity premium puzzle;
    All these keywords.

    JEL classification:

    • D91 - Microeconomics - - Micro-Based Behavioral Economics - - - Role and Effects of Psychological, Emotional, Social, and Cognitive Factors on Decision Making
    • E21 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Consumption; Saving; Wealth
    • G00 - Financial Economics - - General - - - General
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates

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