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Heterogeneous Impatience in a Continuous-Time Model

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Author Info
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.

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Publisher Info
Paper provided by Kyoto University, Institute of Economic Research in its series KIER Working Papers with number 665.

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Length: 23pages
Date of creation: Jan 2009
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Handle: RePEc:kyo:wpaper:665

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

Find related papers by 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 - - Intertemporal Choice and Growth - - - Intertemporal Consumer Choice; Life Cycle Models and Saving
G12 - Financial Economics - - General Financial Markets - - - Asset Pricing
G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing

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References listed on IDEAS
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  1. Hara, Chiaki, 2008. "Complete Monotonicity of the Representative Consumer's Discount Factor," PIE/CIS Discussion Paper 367, Center for Intergenerational Studies, Institute of Economic Research, Hitotsubashi University. [Downloadable!]
  2. 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. [Downloadable!]
    Other versions:
  3. 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.
  4. Martin Lettau & Sydney C. Ludvigson & Jessica A. Wachter, 2008. "The Declining Equity Premium: What Role Does Macroeconomic Risk Play?," Review of Financial Studies, Oxford University Press for Society for Financial Studies, vol. 21(4), pages 1653-1687, July. [Downloadable!] (restricted)
    Other versions:
  5. Chiaki Hara, 2006. "Heterogeneous Risk Attitudes In A Continuous-Time Model," The Japanese Economic Review, Japanese Economic Association, vol. 57(3), pages 377-405. [Downloadable!] (restricted)
  6. Hara, Chiaki, 2008. "Complete monotonicity of the representative consumer's discount factor," Journal of Mathematical Economics, Elsevier, vol. 44(12), pages 1321-1331, December. [Downloadable!] (restricted)
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This page was last updated on 2009-11-17.


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