A common assumption in standard economic models is that agents are risk-averse and prudent, and it is often argued that prudence is necessary to generate precautionary savings. This paper shows that prudence is not necessary to generate precautionary savings in small open economy models with more than two periods. A new class of preferences, which enables the isolation of the effect of risk aversion on precautionary savings, is introduced. The effects of changes in risk aversion, interest rates, and persistence and volatility of shocks on average asset holdings are qualitatively identical to the ones observed for standard constant-elasticity-of-substitution preferences. These results show that the almost universal assertion in the literature - that only prudent consumers can generate positive levels of precautionary savings - is simply incorrect.

This paper focuses on precautionary saving against uncertain longevity and on the annuity insurance aspects of social security within the life-cycle framework. The principal findings are three. First, the evolution of social security is reviewed in response to missing markets for providing insurance for consumption in the face of lifetime uncertainty. A simple life-cycle model is used to show that even an actuarially fair, fully funded social security system can reducenational saving. Second, to the extent that the introduction of social security reduces the size of accidental bequests, the net effect on the consumption of subsequent generations is diminished. Finally, consideration of the welfare gains from compulsory social security requires an examination of the tradeoff between the benefits to early participants from access to the annuities and the costs to generations that follow of a lower capital stock. Across a range of parameter values, the partial equilibrium impact of social security on consumptionis reversed. The introduction of an explicit bequest motive ivitigates both the initial impact of social security on saving and the long-run welfare loss from the introduction of social security

This paper re-examines precautionary saving with general Selden/Kreps-Porteus preferences. The conditions existing in the literature are much more complex than in the Expected Utility framework. We obtain a simple and intuitive result on precautionary savings via disentangling time preference and risk preference effects.

I study the consumption-saving problem with non-separable utility under ambiguity. Using smooth ambiguity aversion, I show that the introduction of ambiguity and greater ambiguity aversion raise optimal saving. When relative prudence in ambiguity preferences is bounded by 2, also greater ambiguity increases saving. While previous work finds that a convex marginal ambiguity function is not sufficient for precautionary saving (Berger, 2014), I show that it may not even be necessary.

One of the basic motives for saving is the accumulation of wealth to insure future welfare. Both introspection and extant research on consumption insurance find that people face substantial risks that they do not fairly pool. In theory, the consumption and wealth accumulation of price-taking households in an economy with incomplete markets differs substantially from the behavior of these same households in the equivalent economy with complete-markets. The question we address in this article is whether we find this difference to be large in practice. What is the empirical importance of precautionary saving? We provide a simple decomposition that characterizes the importance of precautionary saving in the U.S. economy. We use this decomposition as an organizing framework to present four main findings: (a) the concavity of the consumption policy rule, (b) the importance of precautionary saving for life-cycle saving and wealth accumulation, (c) the contribution of changes in risk to fluctuations in aggregate consumption and (d) the significant impact of incomplete markets on aggregate fluctuations in calibrated general equilibrium models. We conclude with directions for future research.

We estimate the fraction of the wealth of a sample of PSID respondents that is held because some households face greater income uncertainty than others. We first derive an equation characterizing the theoretical relationship between wealth and uncertainty in a buffer-stock model of saving. Next, we estimate that equation using PSID data; we find strong evidence that households engage in precautionary saving. Finally, we simulate the wealth distribution that would prevail if all households had the same uncertainty as the lowest-uncertainty group. We find that between 39 and 46 percent of wealth in our sample is attributable to uncertainty differentials across groups.