Heterogeneous Impatience in a Continuous-Time Model
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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- Lettau, Martin & Ludvigson, Sydney & Wachter, Jessica, 2006.
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"Complete Monotonicity of the Representative Consumer's Discount Factor,"
KIER Working Papers
636, Kyoto University, Institute of Economic Research.
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NBER Working Papers
8172, National Bureau of Economic Research, Inc.
- 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.
- Chiaki Hara, 2005.
"Heterogeneous Risk Attitudes in a Continuous-Time Model,"
KIER Working Papers
609, Kyoto University, Institute of Economic Research.
- Chiaki Hara, 2006. "Heterogeneous Risk Attitudes In A Continuous-Time Model," The Japanese Economic Review, Japanese Economic Association, vol. 57(3), pages 377-405.
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