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Health risk and the welfare effects of Social Security

Shantanu Bagchi and Juergen Jung

Macroeconomic Dynamics, 2023, vol. 27, issue 7, 1767-1806

Abstract: We quantify the importance of idiosyncratic health risk in a calibrated general equilibrium model of Social Security. We construct an overlapping generations model with rational-expectations households, idiosyncratic labor income and health risk, profit-maximizing firms, incomplete insurance markets, and a government that provides pensions and health insurance. We calibrate this model to the US economy and perform two computational experiments: $\left (i\right)$ cutting Social Security’s payroll tax, and $\left (ii\right)$ modifying Social Security’s benefit-earnings rule. Our findings suggest that health risk amplifies the welfare implications of both experiments: downsizing Social Security always leads to higher overall welfare, but the welfare gain is larger when we account for health risk, and increasing the progressivity of Social Security’s benefit-earnings rule has a larger positive effect on welfare in the presence of health risk. We also find that allowing households additional tools to self-insure against health risk weakens the precautionary motive, so our experiments have similar welfare implications both with and without health risk.

Date: 2023
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