Heterogeneous Risk Attitudes in a Continuous-Time Model
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.Download Info
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Paper provided by Kyoto University, Institute of Economic Research in its series KIER Working Papers with number 609.Length: 31pages
Date of creation: Dec 2005
Date of revision:
Handle: RePEc:kyo:wpaper:609
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Related research
Keywords: Heterogeneity; risk attitudes; hyperbolic absolute risk aversion; representative consumer; risk-sharing rules; mutual fund theorem; Ito's Lemma; interest rates.;Other versions of this item:
- Chiaki Hara, 2006. "Heterogeneous Risk Attitudes In A Continuous-Time Model," The Japanese Economic Review, Japanese Economic Association, vol. 57(3), pages 377-405.
- 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 - - Intertemporal Choice and Growth - - - Intertemporal Consumer Choice; Life Cycle Models and Saving
- G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
- G12 - Financial Economics - - General Financial Markets - - - Asset Pricing
- G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing
This paper has been announced in the following NEP Reports:
- NEP-ALL-2006-01-01 (All new papers)
- NEP-FIN-2006-01-01 (Finance)
- NEP-UPT-2006-01-01 (Utility Models & Prospect Theory)
References
References listed on IDEASPlease report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Larry G. Epstein & JianJun Miao, 2001.
"A Two-Person Dynamic Equilibrium under Ambiguity,"
RCER Working Papers
478, University of Rochester - Center for Economic Research (RCER).
- 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.
- R. Mehra & E. Prescott, 2010.
"The equity premium: a puzzle,"
Levine's Working Paper Archive
1401, David K. Levine.
- Mehra, Rajnish & Prescott, Edward C., 1985. "The equity premium: A puzzle," Journal of Monetary Economics, Elsevier, vol. 15(2), pages 145-161, March.
- 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.
- Robert M. Townsend, .
"Risk and Insurance in Village India,"
University of Chicago - Population Research Center
91-3a, Chicago - Population Research Center.
- Townsend, Robert M, 1994. "Risk and Insurance in Village India," Econometrica, Econometric Society, vol. 62(3), pages 539-91, May.
- Townsend, R.M., 1991. "Risk and Insurance in Village India," University of Chicago - Economics Research Center 91-3, Chicago - Economics Research Center.
- Masao Ogaki & Qiang Zhang, 1998.
"Decreasing Relative Risk Aversion and Tests of Risk Sharing,"
Working Papers
98-02, Ohio State University, Department of Economics.
- Ogaki, Masao & Zhang, Qiang, 2001. "Decreasing Relative Risk Aversion and Tests of Risk Sharing," Econometrica, Econometric Society, vol. 69(2), pages 515-26, March.
- Masao Ogaki & Qiang Zhang, 2000. "Decreasing Relative Risk Aversion and Tests of Risk Sharing," Econometric Society World Congress 2000 Contributed Papers 1588, Econometric Society.
- 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.
- Philippe Weil, 1992. "Equilibrium Asset Prices With Undiversifiable Labor Income Risk," NBER Working Papers 3975, National Bureau of Economic Research, Inc.
- Weil, P., 1991. "Equilibrium Asset Prices with Undiversifiable Labor Income Risk," Harvard Institute of Economic Research Working Papers 1564, Harvard - Institute of Economic Research.
- 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.
- Kohara, Miki & Ohtake, Fumio & Saito, Makoto, 2001. "A Test of the Full Insurance Hypothesis: The Case of Japan," Discussion Papers 2001-05, Graduate School of Economics, Hitotsubashi University.
- Hara, C. & Christoph Kuzmics, 2004.
"Representative Consumer's Risk Aversion and Efficient Risk-Sharing Rules,"
Cambridge Working Papers in Economics
0452, Faculty of Economics, University of Cambridge.
- 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.
- Hara, Chiaki & Huang, James & Kuzmics, Christoph, 2007. "Representative Consumer's Risk Aversion and Efficient Risk-Sharing Rules," Discussion Paper 323, Center for Intergenerational Studies, Institute of Economic Research, Hitotsubashi University.
- 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.
- Per Krusell & Anthony A. Smith, Jr., .
"Income and Wealth Heterogeneity in the Macroeconomy,"
GSIA Working Papers
1997-37, Carnegie Mellon University, Tepper School of Business.
- Per Krusell & Anthony A. Smith & Jr., 1998. "Income and Wealth Heterogeneity in the Macroeconomy," Journal of Political Economy, University of Chicago Press, vol. 106(5), pages 867-896, October.
- 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).
- 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.
- Karl Schmedders, 2005.
"Two-Fund Separation in Dynamic General Equilibrium,"
Discussion Papers
1398, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Schmedders, Karl, 2007. "Two-fund separation in dynamic general equilibrium," Theoretical Economics, Econometric Society, vol. 2(2), June.
- Karl Schmedders, 2005. "Two-Fund Separation in Dynamic General Equilibrium," 2005 Meeting Papers 148, Society for Economic Dynamics.
- 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.
- Gollier, C., 1997.
"Wealth Inequality and Asset Pricing,"
Papers
97.486, Toulouse - GREMAQ.
- Gollier, Christian, 2001. "Wealth Inequality and Asset Pricing," Review of Economic Studies, Wiley Blackwell, vol. 68(1), pages 181-203, January.
- 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.
- 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.
- 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.
- 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.
- 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.
Citations
Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.Cited by:
- Hara, Chiaki, 2009.
"Heterogeneous Impatience in a Continuous-Time Model,"
PIE/CIS Discussion Paper
425, Center for Intergenerational Studies, Institute of Economic Research, Hitotsubashi University.
- Hara, Chiaki, 2008. "Heterogeneous Impatience in a Continuous-Time Model," PIE/CIS Discussion Paper 396, Center for Intergenerational Studies, Institute of Economic Research, Hitotsubashi University.
- Chiaki Hara, 2009. "Heterogeneous Impatience in a Continuous-Time Model," KIER Working Papers 665, Kyoto University, Institute of Economic Research.
- Hara, Chiaki, 2008.
"Complete monotonicity of the representative consumer's discount factor,"
Journal of Mathematical Economics,
Elsevier, vol. 44(12), pages 1321-1331, December.
- Chiaki Hara, 2007. "Complete Monotonicity of the Representative Consumer's Discount Factor," KIER Working Papers 636, Kyoto University, Institute of Economic Research.
- 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.
- Hara, Chiaki & Huang, James & Kuzmics, Christoph, 2007.
"Representative Consumer's Risk Aversion and Efficient Risk-Sharing Rules,"
Discussion Paper
323, Center for Intergenerational Studies, Institute of Economic Research, Hitotsubashi University.
- 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.
- 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.
- Hara, C. & Christoph Kuzmics, 2004. "Representative Consumer's Risk Aversion and Efficient Risk-Sharing Rules," Cambridge Working Papers in Economics 0452, Faculty of Economics, University of Cambridge.
- 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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