TY  - JOUR
AU  - Kimball,Miles
AU  - Weil,Philippe
TI  - Precautionary Saving and Consumption Smoothing Across Time and Possibilities
JF  - National Bureau of Economic Research Working Paper Series
VL  - No. 3976
PY  - 1992
Y2  - January 1992
UR  - http://www.nber.org/papers/w3976
L1  - http://www.nber.org/papers/w3976.pdf
N1  - Author contact info:
Miles S. Kimball
Department of Economics
University of Michigan
Ann Arbor, MI  48109-1220
Tel: 734/764-2375
Fax: 734/764-2769
E-Mail: mkimball@umich.edu

Philippe Weil
Director, Universite Libre de Bruxelles
ECARES
50, Avenue Roosevelt CP 114
B-1050 Brussels  BELGIUM
Tel: 32-2-650-4220
Fax: 32-2-650-4475
E-Mail: philippe.weil@ulb.ac.be
AB  - This paper examines how aversion to risk and aversion to intertemporal substitution determine the strength of the precautionary saving motive in a two-period model with Selden/Kreps-Porteus preferences. For small risks, we derive a measure of the strength of the precautionary saving motive which generalizes the concept of "prudence" introduced by Kimball (1990b). For large risks, we show that decreasing absolute risk aversion guarantees that the precautionary saving motive is stronger than risk aversion, regardless of the elasticity of intertemporal substitution. Holding risk preferences fixed, the extent to which the precautionary saving motive is stronger than risk aversion increases with the elasticity of intertemporal substitution. We derive sufficient conditions for a change in risk preferences alone to increase the strength of the precautionary saving motive and for the strength of the precautionary saving motive to decline with wealth. Within the class of constant elasticity of intertemporal substitution, constant-relative risk aversion utility functions, these conditions are also necessary.
ER  -