Risk Aversion, Intertemporal Substitution and Consumption: The Caralq Problem

Working Paper: CEPR ID: DP359

Authors: Frederick van der Ploeg

Abstract: This paper employs the recursive utility approach, based on quadratic felicity functions and constant absolute risk aversion, to distinguish between risk aversion and intertemporal substitution. Stochastic dynamic programming yields closed-loop linear decision rules for the CARA-LQ problem. Certainty equivalence no longer holds, but instead the decision maker plays a min-max strategy against nature. When applied to a life cycle consumption problem, one finds a rationale for precautionary saving and a larger sensitivity of changes in consumption to income innovations. It is also shown that consumers with Ricardian rationality can display a Keynesian propensity to consume out of a current tax cut.

Keywords: risk aversion; intertemporal substitution; lifecycle hypothesis; precautionary saving; excess sensitivity; Ricardian consumers; Keynesian propensities to consume

JEL Codes: 020; 113; 213


Causal Claims Network Graph

Edges that are evidenced by causal inference methods are in orange, and the rest are in light blue.


Causal Claims

CauseEffect
risk aversion (D81)increased saving behavior (D14)
uncertainty about future income (D89)increased saving behavior (D14)
risk aversion and uncertainty about future income (D81)precautionary saving (D14)
risk aversion and intertemporal substitution (D15)saving decisions (D14)
tax cuts (H29)consumption behavior (D10)
risk aversion (D81)consumption sensitivity to income changes (D12)

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