Shifting responsibility to workers: the future of retirement adequacy in the United States

While many 401(k) participants at large companies can expect replacement of nearly 100% of preretirement income, not all workers participate in their 401(k) plan. Moreover, the authors show that even among participants, the extent of retirement preparedness depends on defined benefit (DB) plan coverage and retiree medical benefit generosity. Given recent trends in the elimination of DB plans and retiree medical subsidies and the voluntary nature of 401(k) participation, retirement income responsibility is increasingly shifting to workers. The authors discuss how employers might help workers meet their retirement income needs in this changing environment.     

Precautionary Saving and Consumption Smoothing across Time and Possibilities

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 that 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.     

Precautionary saving and partially observed income

I propose an intertemporal precautionary saving model in which the agent's labor income is subject to (possibly correlated) shocks with different degrees of persistence and volatility. However, he only observes his total income, not individual components. I show that partial observability of individual components of income gives rise to additional precautionary saving due to estimation risk, the error associated with estimating individual components of income. This additional precautionary saving is higher, when estimation risk is greater. Compared with a precautionary agent who is otherwise identical, but ignores estimation risk, the rational agent consumes less at the beginning of his life, but consumes more later, because of larger wealth accumulated from savings for estimation risk. The utility cost of ignoring estimation risk is also quantified in closed form.     

Precautionary Saving of Chinese and U.S. Households

We employ a model of precautionary saving to study why household saving rates are high in China and low in the United States. The use of recursive preferences gives a convenient decomposition of saving into precautionary and nonprecautionary components. Over 80% of China's saving rate and nearly all U.S. saving arises from the precautionary motive. The difference between U.S. and Chinese household income growth rates is vastly more important than income risk for explaining the saving rates. The key mechanism is that precautionary savers have target wealth‐to‐income ratios, and rapid income growth necessitates high saving rates to maintain the ratio.     

Reinforcement Learning and Savings Behavior

We show that individual investors over‐extrapolate from their personal experience when making savings decisions. Investors who experience particularly rewarding outcomes from 401(k) saving—a high average and/or low variance return—increase their 401(k) savings rate more than investors who have less rewarding experiences. This finding is not driven by aggregate time‐series shocks, income effects, rational learning about investing skill, investor fixed effects, or time‐varying investor‐level heterogeneity that is correlated with portfolio allocations to stock, bond, and cash asset classes. We discuss implications for the equity premium puzzle and interventions aimed at improving household financial outcomes.     

The Effect of Providing Peer Information on Retirement Savings Decisions

Using a field experiment in a 401(k) plan, we measure the effect of disseminating information about peer behavior on savings. Low‐saving employees received simplified plan enrollment or contribution increase forms. A randomized subset of forms stated the fraction of age‐matched coworkers participating in the plan or age‐matched participants contributing at least 6% of pay to the plan. We document an oppositional reaction: the presence of peer information decreased the savings of nonparticipants who were ineligible for 401(k) automatic enrollment, and higher observed peer savings rates also decreased savings. Discouragement from upward social comparisons seems to drive this reaction.     

Precautionary Saving and Endogenous Labor Supply with and without Intertemporal Expected Utility

We analyze precautionary saving behavior in a framework with labor and nonlabor income risks, an endogenous supply of labor, and a representation of preferences that disentangles attitudes toward risk, attitudes toward intertemporal substitution, and ordinal preferences for consumption and leisure. This preference structure allows us to disentangle and to describe in an intuitive way the different forces that determine precautionary saving “in the small” and “in the large.”     

Changes in risk and the demand for saving

How does risk affect saving? Empirical work typically examines the effects of detectible differences in risk within the data. How these differences affect saving in theoretical models depends on the metric one uses for risk. For labor-income risk, second-degree increases in risk require prudence to induce increased saving demand. However, prudence is not necessary for first-degree risk increases and not sufficient for higher-degree risk increases. For increases in interest-rate risk, a precautionary effect and a substitution effect need to be compared. This paper provides necessary and sufficient conditions on preferences for an Nth-degree change in risk to increase saving.     

Voluntary Contributions to Personal Pension Plans: Evidence from the British Household Panel Survey

In this paper, we use data from the British Household Panel Survey (BHPS) for the years 1992 to 1998 to study the determinants of saving in the form of voluntary contributions to personal pension plans (PPPs). We first estimate a probit model with selection for the probability of making these voluntary contributions. We then estimate a random‐effects tobit regression for the amounts contributed and compare the results with those of a similar regression for conventional saving. Our findings suggest that voluntary contributions to PPPs are made essentially for retirement purposes, whereas conventional saving is undertaken for precautionary motives. The former type of saving is thus unlikely to offset the latter completely.     

Optimal monetary policy in an economy with incomplete markets and idiosyncratic risk

This study investigates an incomplete markets economy in which the saving behavior of a continuum of infinitely lived agents is influenced by precautionary saving motives and borrowing constraints. Agents can use two types of assets (interest bearing IOUS and money) to smooth consumption. Money is valued because of a timing friction in the bond market. In particular, the bond market closes before agents observe their idiosyncratic productivity shock. I find that the Friedman rule is not optimal for this economy. The results indicate that the optimal allocation has a rate of inflation of 10%, and a positive amount of private credit held by the government. A positive inflation rate transfers resources from agents with big endowments to those holding bonds which improves risk sharing, and therefore, welfare. However, for higher rates of inflation, agents economize on money holdings, offsetting the insurance effects, and causing a reduction in welfare. Furthermore, higher rates of inflation discourage agents from borrowing, and the endogenous lower bound on bond holdings is higher than the exogenous borrowing limit. High rates of inflation, therefore, exacerbate frictions in the bond market.     

The Role of Company Stock in 401(k) Plans

The Enron situation has caused the retirement income policy community to focus increased attention on the desirability of current law and practices regarding company stock in 401(k) plans. Several proposals have been advanced to limit the exposure of 401(k) participants to company stock. I suggest that, contrary to conventional wisdom, the introduction of company stock into 401(k) plans is not simply more risk for no additional (expected) return. Rather, the introduction of this asset class into the 401(k) participant's portfolio may have beneficial influences via the differential asset allocation. I create a model to simulate the likely financial impact of prospectively eliminating company stock from 401(k) plans and find that average balances are expected to be between 4.0 and 7.8 percent larger if company stock is retained.     

Comparative precautionary saving under higher-order risk and recursive utility

Measuring and comparing the precautionary saving motive rest almost exclusively on the expected utility framework, and only focus on income risk or coefficients of the Arrow–Pratt type. We generalize the standard approach by characterizing comparative precautionary saving under recursive utility for increases in income risk and increases in risk on the saving return, including higher-order risk effects. We express the comparisons in terms of precautionary premia. In addition, we define a new class of preference coefficients, and derive the associated conditions to predict a stronger precautionary motive. The coefficients provide a detailed picture of the preferences sustaining precautionary saving and could be useful in applications.     

Inflation-Indexed Bonds and Nominal Bonds: Financial Innovation and Precautionary Motives

This paper introduces a two-period monetary general equilibrium model with proportional transaction costs on nominal and inflation-indexed bonds. This paper demonstrates that financial innovation on indexed bonds causes equilibrium interest rates of the nominal bond to increase when agents have precautionary saving motives. This result implies that ignoring precautionary motives would underestimate savers' welfare gain and overestimate borrowers' welfare gain from innovation on indexed bonds.     

Investing for the old age: pensions, children and savings

In the last century, most countries have experienced both an increase in pension spending and a decline in fertility. We argue that the interplay of pension generosity and development of capital markets is crucial to understand fertility decisions. Since children have traditionally represented for parents a form of retirement saving, particularly in economies with limited or nonexistent capital markets, an exogenous increase of pension spending provides a saving technology alternative to children, thus relaxing financial (saving) constraints and reducing fertility. We build a simple two-period OLG model to show that an increase in pensions is associated with a larger decrease in fertility in countries in which individuals have less access to financial markets. Cross-country regression analysis supports our result: an interaction between various measures of pension generosity and a proxy for the development of financial markets consistently enters the regressions positively and significantly, suggesting that in economies with limited financial markets, children represent a (if not the only) way for parents to save for old age, and that increases in pensions amount effectively to relaxing these constraints.     

The Spirit of Capitalism, Precautionary Savings, and Consumption

Recent research has shown that the "spirit of capitalism"—a preference for wealth itself, in addition to consumption—has important implications for growth and asset pricing. This paper explores how the spirit of capitalism affects saving and consumption behavior. We demonstrate that the spirit of capitalism may reduce the importance of precautionary savings. It can also explain the excess sensitivity puzzle: the spirit of capitalism causes dramatic deviations from a random walk. It may also offer a partial explanation of the excess smoothness puzzle.     

Optimal consumption and asset allocation with unknown income growth

Recent empirical evidence supports the view that the income process has an individual-specific growth rate component [Baker, M., 1997. Growth-rate heterogeneity and the covariance structure of life-cycle earnings. Journal of Labor Economics 15, 338-375; Guvenen, F., 2007b. Learning your earning: Are labor income shocks really very persistent? American Economic Review 97, 687-712; Huggett, M., Ventura, G., Yaron, A., 2007. Sources of life-cycle inequality. Working paper, University of Pennsylvania]. Moreover, the individual-specific growth component may be stochastic. Motivated by these empirical observations, I study an individual's optimal consumption-saving and portfolio choice problem when he does not observe his income growth. As in standard income fluctuation problems, the individual cannot fully insure himself against income shocks. In addition to the standard income-risk-induced precautionary saving demand, the individual also has learning-induced precautionary saving demand, which is greater when belief is more uncertain. With constant unobserved income growth, changes in belief are not predictable. However, with stationary stochastic income growth, belief is no longer a martingale. Mean reversion of belief reduces hedging demand on average and in turn mitigates the impact of estimation risk on consumption-saving and portfolio decisions.     

Attracting Flows by Attracting Big Clients

We explore a new channel for attracting inflows using a unique data set of corporate 401(k) retirement plans and their mutual fund family trustees. Families secure substantial inflows by being named trustee. We find that family trustees significantly overweight, and are reluctant to sell, their 401(k) client firm's stock. Trustee overweighting is more pronounced when the relationship is more valuable to the trustee family, and is concentrated in those funds receiving the greatest benefit from the inflows. We quantify this flow benefit and find that inclusion in the 401(k) plan has an economically and statistically large, positive effect on inflows.     

The new retirement reality: calculating the true cost of retirement income adequacy

Recognizing that 401(k) plans are emerging as many employees' sole source of employer-sponsored retirement income, plan sponsors are increasingly adding paternalistic plan features to increase the amount--and effectiveness--of dollars invested in 401(k) accounts. The authors describe the results of a study they prepared for Hewitt Associates that assesses retirement income adequacy for individuals represented in a plan participant database of 1.8 million individuals. The study includes analysis of retirement income adequacy for the aggregate population as well as the results for different subgroups, reflecting factors such as whether individuals actively contribute; the impact of different levels of retiree medical coverage; and the presence of a defined benefit pension. Finally, the authors discuss how plan sponsors can bolster the adequacy of retirement income from 401(k) plans, depending on employer objectives.     

Precautionary Effort: A New Look

While the concept of precautionary saving is well documented, that of precautionary effort has received relatively limited attention. In this note, we set up a two period model in order to analyze the conditions under which the introduction (or deterioration) of an independent background risk increases effort.     

中国收入等级不同的城镇居民预防性储蓄动机研究

将流动性约束条件纳入Dynan(1993)模型对其进行扩展,构建出包含流动性约束、不确定性、实际利率变量的新预防性储蓄模型。理论与实证结果表明:该模型更能体现我国收入等级不同城镇居民的储蓄行为特征;在不确定性存在条件下,新引入的流动性约束变量会对面临流动性约束不同居民的储蓄行为产生不同程度、甚至不同方向的影响,其影响程度随居民面临流动性约束的不同而变化。同时发现转轨时期仍然偏紧的流动性约束和日益增强的不确定性是抑制我国消费需求增长,加大居民预防性储蓄动机的根源。