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Heterogeneous Impatience in a Continuous-Time Model

Author

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  • Chiaki Hara

    () (Institute of Economic Research, Kyoto University)

Abstract

In a continuous-time economy with complete markets, we study how the heterogeneity in the individual consumers' risk tolerance and impatience affects the representative consumer's risk tolerance and impatience. We derive some formulas, which indicate that the representative consumer's impatience decrease over time, and whether his risk tolerance increases or decreases over time depends on the sign of some weighted covariance between the individual consumers' cautiousness (derivative of risk tolerance with respect to own consumptions) and impatience. These results are then used to show that the short rate tends to decrease over time and the market price of risk is volatile in some special cases of heterogeneous economies.

Suggested Citation

  • Chiaki Hara, 2009. "Heterogeneous Impatience in a Continuous-Time Model," KIER Working Papers 665, Kyoto University, Institute of Economic Research.
  • Handle: RePEc:kyo:wpaper:665
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    File URL: http://www.kier.kyoto-u.ac.jp/DP/DP665.pdf
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    References listed on IDEAS

    as
    1. Martin Lettau & Sydney C. Ludvigson & Jessica A. Wachter, 2008. "The Declining Equity Premium: What Role Does Macroeconomic Risk Play?," Review of Financial Studies, Society for Financial Studies, vol. 21(4), pages 1653-1687, July.
    2. Chiaki Hara, 2006. "Heterogeneous Risk Attitudes In A Continuous-Time Model," The Japanese Economic Review, Japanese Economic Association, vol. 57(3), pages 377-405.
    3. Ravi Jagannathan & Ellen R. McGrattan & Anna Scherbina, 2000. "The declining U.S. equity premium," Quarterly Review, Federal Reserve Bank of Minneapolis, issue Fall, pages 3-19.
    4. Hara, Chiaki, 2008. "Complete monotonicity of the representative consumer's discount factor," Journal of Mathematical Economics, Elsevier, vol. 44(12), pages 1321-1331, December.
    5. Christian Gollier & Richard Zeckhauser, 2005. "Aggregation of Heterogeneous Time Preferences," Journal of Political Economy, University of Chicago Press, vol. 113(4), pages 878-896, August.
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    Cited by:

    1. Hara, Chiaki, 2008. "Complete monotonicity of the representative consumer's discount factor," Journal of Mathematical Economics, Elsevier, vol. 44(12), pages 1321-1331, December.
    2. Lei Shi, 2010. "Portfolio Analysis and Equilibrium Asset Pricing with Heterogeneous Beliefs," PhD Thesis, Finance Discipline Group, UTS Business School, University of Technology, Sydney, number 9, November.
    3. Geoffrey Heal & Antony Millner, 2013. "Discounting under Disagreement," NBER Working Papers 18999, National Bureau of Economic Research, Inc.
    4. Chenghu Ma & Jiankang Zhang, 2013. "Aggregation in Incomplete Market with General Utility Functions," WISE Working Papers 2013-10-14, Wang Yanan Institute for Studies in Economics (WISE), Xiamen University.

    More about this item

    Keywords

    Endogenous Growth; Representative consumer; risk tolerance; impatience; state-price deflator; shortrate process; market price of risk;

    JEL classification:

    • D51 - Microeconomics - - General Equilibrium and Disequilibrium - - - Exchange and Production Economies
    • D53 - Microeconomics - - General Equilibrium and Disequilibrium - - - Financial Markets
    • D61 - Microeconomics - - Welfare Economics - - - Allocative Efficiency; Cost-Benefit Analysis
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • D91 - Microeconomics - - Micro-Based Behavioral Economics - - - Role and Effects of Psychological, Emotional, Social, and Cognitive Factors on Decision Making
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing

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