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Heterogeneous Risk Attitudes in a Continuous-Time Model

  • Chiaki Hara


    (Institute of Economic Research, Kyoto University)

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.

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Paper provided by Kyoto University, Institute of Economic Research in its series KIER Working Papers with number 609.

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Length: 31pages
Date of creation: Dec 2005
Date of revision:
Handle: RePEc:kyo:wpaper:609
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  1. 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.
  2. Karl Schmedders, 2005. "Two-Fund Separation in Dynamic General Equilibrium," 2005 Meeting Papers 148, Society for Economic Dynamics.
  3. Basak, Suleyman & Cuoco, Domenico, 1998. "An Equilibrium Model with Restricted Stock Market Participation," Review of Financial Studies, Society for Financial Studies, vol. 11(2), pages 309-41.
  4. Gollier, C., 1997. "Wealth Inequality and Asset Pricing," Papers 97.486, Toulouse - GREMAQ.
  5. Chiaki Hara & James Huang & Christoph Kuzmics, 2006. "Representative Consumer's Risk Aversion and Efficient Risk-Sharing Rules," KIER Working Papers 620, Kyoto University, Institute of Economic Research.
  6. Krusell, P & Smith Jr, A-A, 1995. "Income and Wealth Heterogeneity in the Macroeconomic," RCER Working Papers 399, University of Rochester - Center for Economic Research (RCER).
  7. Weil, Philippe, 1992. "Equilibrium asset prices with undiversifiable labor income risk," Journal of Economic Dynamics and Control, Elsevier, vol. 16(3-4), pages 769-790.
  8. Kohara, Miki & Ohtake, Fumio & Saito, Makoto, 2002. "A Test of the Full Insurance Hypothesis: The Case of Japan," Journal of the Japanese and International Economies, Elsevier, vol. 16(3), pages 335-352, September.
  9. Jiang, Wang, 1996. "The term structure of interest rates in a pure exchange economy with heterogeneous investors," Journal of Financial Economics, Elsevier, vol. 41(1), pages 75-110, May.
  10. Laurent Calvet & Jean-Michel Grandmont & Isabelle Lemaire, 2001. "Aggregation of Heterogenous Beliefs and Asset Pricing in Complete Financial Markets," Working Papers 2001-01, Centre de Recherche en Economie et Statistique.
  11. Robert M. Townsend, . "Risk and Insurance in Village India," University of Chicago - Population Research Center 91-3a, Chicago - Population Research Center.
  12. Epstein, Larry G. & Miao, Jianjun, 2003. "A two-person dynamic equilibrium under ambiguity," Journal of Economic Dynamics and Control, Elsevier, vol. 27(7), pages 1253-1288, May.
  13. Mehra, Rajnish & Prescott, Edward C., 1985. "The equity premium: A puzzle," Journal of Monetary Economics, Elsevier, vol. 15(2), pages 145-161, March.
  14. 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.
  15. Mace, Barbara J, 1991. "Full Insurance in the Presence of Aggregate Uncertainty," Journal of Political Economy, University of Chicago Press, vol. 99(5), pages 928-56, October.
  16. Cochrane, John H, 1991. "A Simple Test of Consumption Insurance," Journal of Political Economy, University of Chicago Press, vol. 99(5), pages 957-76, October.
  17. Ogaki, Masao & Zhang, Qiang, 2001. "Decreasing Relative Risk Aversion and Tests of Risk Sharing," Econometrica, Econometric Society, vol. 69(2), pages 515-26, March.
  18. Dumas, Bernard, 1989. "Two-Person Dynamic Equilibrium in the Capital Market," Review of Financial Studies, Society for Financial Studies, vol. 2(2), pages 157-88.
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