A new interpretation of the condition for precautionary saving in the presence of an interest-rate risk

This note reconsiders the classical problem of precautionary saving in the presence of an interest-rate risk, and provides a new interpretation of the threshold of 2 for the relative prudence index, which characterizes the necessary and sufficient condition for precautionary saving.     

Precautionary saving in the presence of labor income and interest rate risks

This paper deals with the classic issue of precautionary saving in a standard two-period setting. The literature has identified conditions on the individual??s utility function under which either labor income uncertainty or interest-rate uncertainty can lead to positive precautionary saving. We allow for both sources of uncertainty simultaneously. We extend the Jensen inequality from one risk to two positively quadrant dependent risks. The main result of the paper is that ??positive quadrant dependent?? uncertainty raises saving if and only if ??partial relative prudence?? is larger than 2. We characterize the condition that ??partial relative prudence?? exceeds 2 via preferences over simple binary lotteries, in the style of Eeckhoudt and Schlesinger (Am Econ Rev 96:280?C289, 2006).     

经济转型期中国农村居民预防性储蓄研究 --1978～2003年实证研究

文章利用1978～2003年样本数据通过消费函数的变参数空间状态模型研究了经济转型期中国农村居民超敏感度消费行为,实证研究结果表明,农户存在着显著的"预防性储蓄"动机.在此基础上,文章利用附加"预防性储蓄"动机的消费模型和ARCH结构对预防性动机强度进行了估计,检验结果发现未来预期收入中存在显著的不确定性,这表明在目前农村总需求不足的情形下,降低"预防性储蓄"动机和流动性约束将是扩张社会消费需求的重要政策.     

The effect of precautionary saving on consumption in Sweden

Uncertainty concerning future income lowers consumption. This is often called the precautionary demand for savings. In this paper the existence of precautionary savings. In this paper the existence of precautionary saving is investigated using Swedish data for the years 1973–1992. As there are no variables for consumers' uncertainty a proxy is used. Assuming an underlying distribution of attitudinal data, a variance series is derived. Including the proxy in different specifications of the consumption function, indication of precautionary saving can be found. As a result, no uncertainty would raise consumption by 4.9%.     

Precautionary retirement and precautionary saving

The paper analyzes the lifetime utility maximization problem of an agent who chooses her saving and timing of retirement in the presence of labor income risk in a simple setting where a pure redistributive pension scheme is in place. In this context, a precautionary motive for retirement, which pushes old workers to replace an uncertain labor income with certain pension payments, and to retire early is identified. The conditions for precautionary retirement and saving to arise are then characterized and interpreted in two settings. In the first setting, utility only depends on income, and a sufficiently low level of absolute prudence is necessary for precautionary retirement. A sufficiently high level is necessary however for precautionary saving, which can coexist with precautionary retirement only for intermediate values of absolute prudence. In the second setting, agent utility also depends on leisure, and three conditions allow the precautionary motive for retirement and saving to jointly operate: prudence, an index of absolute prudence sufficiently low and cross-prudence in leisure.     

The surprisingly low importance of income uncertainty for precaution

While it is common to use income uncertainty to explain household saving decisions, there is much disagreement about the importance of precautionary saving. This paper suggests that income uncertainty is not an important motive for saving, although households do have other precautionary reasons to save. Using a question from the Survey of Consumer Finances that asks how much households want for precautionary purposes, this paper shows that expressed household preferences, and liquid savings, are much lower than predicted by standard modeling assumptions. Households rarely list unemployment as a reason to save. Perceived income uncertainty does not affect liquid savings or precautionary preferences. Neither does being in an occupation with higher income volatility. Instead, households seem very concerned with expenditure shocks.     

Precautionary saving under many risks

This paper studies precautionary saving when many small risks are considered. We first introduce two simultaneous risks: labor income and interest rate risks. We show that, in this context, sufficient conditions for precautionary saving are weaker than in similar models. Moreover, we find that, unlike previous literature, precautionary saving can occur in the case of negative covariance between the two risks and in the case of imprudence. We then extend our analysis to a three-risk framework, where a background risk is included. We derive sufficient conditions for precautionary saving which are interpreted in the light of the previous literature.     

中国城市居民预防性储蓄及预防性动机强度:1999-2003

中国居民储蓄的超常增长近年来成为一个被普遍关注的问题 ,而居民储蓄动机更是成为人们关注的焦点。一个普遍的看法是 ,预防性储蓄动机在中国居民储蓄决策中起重要作用。本文从标准的消费者预期效用最大化模型出发 ,推导出收入不确定性条件下消费函数的显式解和衡量预防性动机强度的公式 ;然后用我国 3 5个大中城市1 999— 2 0 0 3年的数据进行计量分析 ,结果发现 3 5个大中城市的居民储蓄行为中的确存在预防性动机 ,但预防性动机并非如人们预期的那么强。在对该结果的可能原因进行分析后 ,本文给出了若干政策建议。     

Precautionary saving under liquidity constraints: evidence from Italy

I empirically investigate precautionary savings under liquidity constraints in Italy using a unique indicator of subjective variance of income growth to measure the strength of the precautionary motive for saving, and a variety of survey-based indicators of liquidity constraints. The main contribution of the paper is twofold. First of all, I attempt to differentiate between the standard precautionary saving caused by uncertainty from the one due to liquidity constraints using an endogenous switching regression approach, which allows me to cope with endogeneity issues associated with sample splitting techniques. Second, I move one step further with respect to previous studies on consumption behaviour by taking explicitly expected liquidity constraints into account. I eventually found the precautionary motive for savings to be stronger for those households who face binding constraints, or expect constraints to be binding in the future. Indeed, a complementarity relation exists between precautionary savings and liquidity constraints.     

Precautionary saving under liquidity constraints: Evidence from rural Pakistan

This paper investigates precautionary saving under liquidity constraints in Pakistan using household panel data. In particular, while it estimates Kimball's [Kimball, M.S. Precautionary saving in the small and in the large. Econometrica 1990; 58; 53–73.] prudence parameter based on a framework that is similar to Dynan [Dynan, K.E. How prudent are consumers? Journal of Political Economy 1993; 101; 1104–1113.], this study deviates from the framework by explicitly considering liquidity constraints, as in Zeldes [Zeldes, S.P. Consumption and liquidity constraints: an empirical investigation. Journal of Political Economy 1989; 97; 305–346.]. By doing so, this paper attempts to differentiate the standard precautionary saving caused by uncertainty from that caused by liquidity constraints. Furthermore, endogenous liquidity constraints are used in order to resolve issues of selection biases. We find substantial evidence of the presence of precautionary saving in Pakistan. More specifically, the estimated prudence is significantly higher for liquidity-constrained households as compared with unconstrained ones. The finding suggests that the precautionary saving motives appear stronger when households see that their access to credit markets is limited.     

Wage arrears uncertainty and precautionary saving in Russia1

Wage arrears are widespread in Russia, and are one of the main causes of uncertainty in the labour market. In this paper, we use the Russian Longitudinal Monitoring Survey over the period 1994–98 to construct a new and improved measure of household income risk, based on the uncertainty due to wage arrears. We then use this measure of uncertainty to test the precautionary saving hypothesis, according to which households save to self‐insure against risk. We find significant evidence of additional saving by those households whose head is more likely to suffer from wage arrears one year hence. This suggests the existence of a strong precautionary saving motive.     

Survival of the gene,intergenerational transfers and precautionary saving

This paper provides a model of bequest and investment in children's human capital at low incomes. It posits that parents and children are linked through their common concern of grandchildren and intergenerational transfers provide a material basis for the perpetuation of the family line. The model characterizes intergenerational strategic interactions in a dynamic game theoretical framework. Moreover, it explores intergenerational uncertainty as a source of precautionary saving. In contrast with the existing literature, the model implies that there are qualitative differences between precautionary saving from one's own income uncertainty and precautionary bequests from children's income uncertainty.     

Precautionary wealth accumulation: evidence from Canadian microdata

Abstract .  This paper estimates the effect of labour income uncertainty on wealth accumulation using two data sources. Wealth information is obtained from the master files of the new Canadian Survey of Financial Security 1999 (SFS). Labour income risk proxies are constucted by industry using the Canadian Survey of Labour and Income Dynamics (SLID) between 1996 and 2001. The empirical results suggest the presence of a strong precautionary saving motive among Canadian households for broad definitions of wealth. Furthermore, consistent with the buffer-stock-saving model, the level of precautionary funds significantly increases when households face liquidity constraints.     

Optimal saving in the presence of two risks

We examine optimal saving in the presence of two small risks: income risk and a background risk. First, we compute the necessary and sufficient condition for a positive precautionary saving, showing that it depends on two terms capturing respectively the direct effect of income risk and the interaction between the two risks. Second, we examine the necessary and sufficient condition for a positive extra-saving due to the contemporaneous presence of the two risks. We show that this condition also depends on a term capturing the direct effect of background risk and that it can hold independently of the previous one.      

Reverse Capital Deepening and the Numeraire: a note

The orthodox theory of precautionary saving fails to distinguish risk from uncertainty, and thus assumes the existence of a probability distribution governing an individual's future income prospects. The individual is assumed to be motivated to save by the dispersion in the distribution of future income, and researchers have therefore attempted to correlate saving with income variance. However, the empirical evidence tends to refute any such correlation. This paper proposes a concept of futility to describe actions that cannot affect the external environment, and demonstrates that precautionary saving in the orthodox sense is futile inasmuch as saving cannot alter the dispersion of resources around an expected future value. Despite the inadequacy of orthodox theory, the theory is perpetuated because even futile behaviour is consistent with the neoclassical notion of rationality. The retention of an invalid theory of precaution provides a faulty basis for both empirical research and policy analysis; thus, the present paper suggests an alternative approach to precaution based on the work of Knight and Shackle, in which decisions are made under conditions of uncertainty rather than risk.     

The impact of the correlation between health expenditure and survival probability on the demand for insurance

This paper studies the effects of health shocks on the demand for health insurance and annuities, along with precautionary saving in a dynamic life-cycle model. I argue that when the health shock can simultaneously increase health expenses and reduce longevity, rational agents would neither fully insure their uncertain health expenses nor fully annuitize their wealth because the correlation between health expenses and longevity provides a self-insurance channel for both uncertainties. That is, when the agent is hit by a health shock (which simultaneously increases health expenses and reduces longevity), she can use the resources originally saved for consumption in the reduced period of life to pay for the increased health expenses. Since the two uncertainties partially offset each other, the precautionary saving generated in the model should be smaller than in a standard model without the correlation between health expenses and longevity. In a quantitative life-cycle model calibrated using the Medical Expenditure Panel Survey dataset, I find that the health expenses are highly correlated with the survival probabilities, and this correlation significantly reduces the demand for actuarially fair health insurance, while its impact on the demand for annuities and precautionary saving is relatively small.     

预防性储蓄动机强度的时序变化与地区差异——基于中国农村居民的实证研究

本文选择中国农村居民1992—2006年间的分省面板数据,采用固定效应—工具变量法(FE-IV)对我国农村居民预防性储蓄动机强度及其地区差异、时序变化展开了详细的实证研究。结果表明,我国农村居民存在很强的预防性储蓄动机,并且西部农村居民的预防性储蓄动机强于中部与东部农村居民;然而滚动回归表明,就全国而言,样本分析区间内我国农村居民的相对谨慎性系数起先还比较平稳,然后呈不断上升的趋势,到最后阶段稍有下降;而分地区的滚动回归结果则表明,各个地区之间存在较大的差异。本文最后在从多个角度对实证结果进行解释的基础上为缓解我国农村居民储蓄快速增长提出了若干政策建议。     

东中西部地区农村居民预防性储蓄比较分析

本文运用预防性储蓄的基本原理从影响居民储蓄的经济因素角度即收入、消费以及收入分配状况等三个重要方面对东、中、西部地区农村居民的预防性储蓄状况进行了初步的比较分析,并通过典型地区经验数据的验证得出中西部地区农村居民预防性储蓄大于东部地区的结论,提出促进农村居民收入稳定持续增长、加快社会保障制度改革、建立健全农村消费信贷制度以及完善农村税收体系等政策建议以减少中西部地区农村居民预防性储蓄,增加中西部地区农村居民的消费。     

Countercyclical taxes in a monopolistically competitive environment

In the context of a neoclassical growth model with monopolistic competition, this paper studies the stabilizing effects of countercyclical tax policy when the income tax rate has an additional role of financing government budget deficits. Consistent with the conventional wisdom, countercyclical taxes generally reduce aggregate volatility, unless the fiscal response to debt accumulation is weak. The presence of monopoly power enhances these effects. Even when automatic stabilizers successfully stabilize business cycle fluctuations, countercyclical taxes are welfare inferior, due to reduced precautionary saving motives. While, if the fiscal response to debt is weak and countercyclical tax policy destabilizing, the increased precautionary saving motive is not welfare enhancing as the asset accumulated is government debt rather than capital. These results are generally robust. Nominal inertia may, however, dominate the precautionary saving mechanism.     

Prudence, Intertemporal Substitution, and Savings under Uncertainty

This paper derives the relations between the coefficient of absolute prudence, the equivalent precautionary premium, risk aversion to concentration, and the normality and shift of current consumption under uncertainty, without the time-separable utility assumption. Examples show that Kimball's coefficient of absolute prudence does not fully characterize precautionary saving or saving behavior under uncertainty. It is proved that, whereas a higher rate of intertemporal substitution and a larger coefficient of absolute prudence imply more savings when current consumption is normal, a larger coefficient of intertemporal substitution and a smaller coefficient of absolute prudence imply more savings when current consumption is inferior. Received July 17, 2001; revised version received November 20, 2001