We develop an applied general equilibrium model to examine the optimal
social security replacement rate and the welfare benefits associated
with it. Our setup consists of overlapping generations of 65-period li
ved individuals facing mortality risk and individual income risk. Priv
ate credit markets, including markets for private annuities, are close
d by assumption. Unlike previous analyses, we find that an unfunded so
cial security system may well enhance economic welfare. In our benchma
rk economy, the optimal social security replacement rate is 30%, and a
n empirically more plausible replacement rate of 60% raises welfare co
mpared with an economy with no social security system.