Health Risk and the Welfare Effects of Social Security

Abstract

We examine the welfare effects of Social Security in a general equilibrium environment with realistic labor income, mortality, and health risks. We construct an overlapping generations model with rational-expectations households facing idiosyncratic health risk, profit maximizing firms, incomplete insurance markets, and a government that provides pensions and health insurance. We calibrate this model to the U.S. economy and perform two sets of computational experiments: (i) modifying the progressivity of the Social Security's benefit-earnings rule, and (ii) cutting Social Security's payroll tax. We find that both experiments have a larger effect on overall welfare in the presence of health risk, because health risk increases the importance of short-term consumption smoothing, both within work-life and retirement. Increased progressivity allows households to better smooth old-age consumption risk, and the payroll tax cut increases disposable income and allows better self-insurance against early-life health risk. We also find that labor supply is an important self-insurance tool in the presence of health risk, as increasing Social Security's progressivity has a smaller effect on overall welfare and cutting the payroll tax has a larger effect on overall welfare when labor supply is fixed. Finally, low-income households experience larger welfare gains both from increasing Social Security's progressivity and cutting the payroll tax, because of their relatively low ability to self-insure against health risk in general.