Disability Risk and the Value of Disability Insurance

We estimate consumers%u2019 valuation of disability insurance using a stochastic lifecycle framework in which disability is modeled as permanent, involuntary retirement. We base our probabilities of worklimiting disability on 25 years of data from the Current Population Survey and examine the changes in the disability gradient for different demographic groups over their lifecycle. Our estimates show that a typical consumer would be willing to pay about 5 percent of expected consumption to eliminate the average disability risk faced by current workers. Only about 2 percentage points reflect the impact of disability on expected lifetime earnings; the larger part is attributable to the uncertainty associated with the threat of disablement. We estimate that no more than 20 percent of mean assets accumulated before voluntary retirement are attributable to disability risks measured for any demographic group in our data. Compared to other reductions in expected utility of comparable amounts, such as a reduction in the replacement rate at voluntary retirement or increases in annual income fluctuations, disability risk generates substantially less pre-retirement saving. Because the probability of disablement is small and the average size of the loss %u2014 conditional on becoming disabled %u2014 is large, disability risk is not effectively insured through precautionary saving.

How Will Defined Contribution Pension Plans Affect Retirement Income?

How has the emergence of defined contribution pension plans, such as 401(k)s, affected the financial security of future retirees? We consider this question using a detailed survey of pension formulas in the Survey of Consumer Finances. Our simulations show that average and median pension benefits are higher under defined contribution plans that for defined benefit plans. Defined benefit plans are slightly better at providing minimum benefits, but for plausible values of risk aversion, a defined contribution plan drawn randomly from those available in 1995 is still preferred to a defined benefit plan drawn randomly from those available in 1983. This result is robust to different assumptions regarding the spending of defined contribution balances between jobs, equity rates of return, and the date of retirement. In short, we suggest that defined contribution plans can strengthen the financial security of retirees.

Household Portfolio Allocation Over the Life Cycle

In this paper, we analyze the relationship between age and portfolio structure for households in the US. We focus on both the probability that households of different ages own particular portfolio assets and the fraction of their net worth allocated to each asset category. We distinguish between age and cohort effects using data from the repeated cross-sections of the Federal Reserve Board's Surveys of Consumer Finances. We present two broad conclusions. First, there are important differences across asset classes in both the age-specific probabilities of asset ownership and in the portfolio shares of different assets at different ages. The notnion that all assets can be treated as identical from the standpoint of analyzing household wealth accumulation is not supported by the data. Institutional factors, asset liquidity, and evolving investor tastes must be recognized in modeling asset demand. These factors could affect analyses of overall household saving as well as the composition of this saving. Second, there are evident differences in the asset ownership probabilities of different birth cohorts. Currently, older households were more likely to hold corporate stock, and less likely to hold tax-exempt bonds, than younger households at any given age. These differences across cohorts are important to recognize when analyzing asset accumulation profiles.

How Important is Precautionary Saving?

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.

Changing Progressivity as a Means of Risk Protection in Investment-Based Social Security

This paper analyzes changes in the progressivity of the Social Security benefit formula as a means of lessening the risk inherent in investment-based Social Security reform. Focusing on a single cohort of workers, it simulates the distribution of benefits subject to both earnings and financial risks in a reformed system in which solvency has been restored and traditional benefits have been augmented by personal retirement accounts (PRAs). The simulations show that some investment in equities is desirable in all cases. However, switching from the current benefit formula to the maximally progressive formula -- a flat benefit independent of earnings -- improves the welfare of the the bottom 30 percent of the earnings distribution even if they reduce their PRA investments in equity to zero. An additional 30 percent of earners can lessen their equity investments without loss of welfare under the maximally progressive formula. Intermediate approaches in which traditional benefit replacement rates for lower earnings are reduced by less than those for higher earnings allow about half of the equity risk to be eliminated for the lowest earnings decile. Sensitivity tests show that these patterns are robust to different assumptions about risk aversion, the equity premium, and the size of the personal retirement accounts established by the reform.