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Heterogeneous Risk Attitudes in a Continuous-Time Model

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  • Chiaki Hara

    (Institute of Economic Research, Kyoto University)

Abstract

We prove that every continuous-time model in which all consumers have time-homogeneous and time-additive utility functions and share a common probabilistic belief and a common discount rate can be reduced to a static model. This result allows us to extend some of the existing results on the representative consumer and risk-sharing rules in static models to continuous-time models. We show that the equilibrium interest rate is lower and more volatile than in the standard representative consumer economy, and that the individual consumption growth rates are more dispersed than is predicted from the first-order conditions.

Suggested Citation

  • Chiaki Hara, 2005. "Heterogeneous Risk Attitudes in a Continuous-Time Model," KIER Working Papers 609, Kyoto University, Institute of Economic Research.
    • Handle: RePEc:kyo:wpaper:609
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    File URL: http://www.kier.kyoto-u.ac.jp/DP/DP609.pdf
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    References listed on IDEAS

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    Cited by:

    1. Hara, Chiaki & 原, 千秋 & ハラ, チアキ, 2008. "Heterogeneous Impatience in a Continuous-Time Model," PIE/CIS Discussion Paper 396, Center for Intergenerational Studies, Institute of Economic Research, Hitotsubashi University.
    2. Hara, Chiaki, 2008. "Complete monotonicity of the representative consumer's discount factor," Journal of Mathematical Economics, Elsevier, vol. 44(12), pages 1321-1331, December.
    3. Hara, Chiaki & Huang, James & Kuzmics, Christoph, 2007. "Representative consumer's risk aversion and efficient risk-sharing rules," Journal of Economic Theory, Elsevier, vol. 137(1), pages 652-672, November.
    4. Bjarne Astrup Jensen & Jørgen Aase Nielsen, 2016. "How suboptimal are linear sharing rules?," Annals of Finance, Springer, vol. 12(2), pages 221-243, May.
    5. Chiaki Hara & James Huang & Christoph Kuzmics, 2006. "Efficient Risk-Sharing Rules with Heterogeneous Risk Attitudes and Background Risks," KIER Working Papers 621, Kyoto University, Institute of Economic Research.

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    More about this item

    Keywords

    Heterogeneity; risk attitudes; hyperbolic absolute risk aversion; representative consumer; risk-sharing rules; mutual fund theorem; Ito's Lemma; interest rates.;
    All these keywords.

    JEL classification:

    • D51 - Microeconomics - - General Equilibrium and Disequilibrium - - - Exchange and Production Economies
    • D58 - Microeconomics - - General Equilibrium and Disequilibrium - - - Computable and Other Applied General Equilibrium Models
    • 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
    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • 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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