We construct a tractable discrete-time overlapping generations model of a closed economy and use it to study government redistribution of accidental bequests and private annuities in general equilibrium. Individuals face longevity risk as there is a positive probability of passing away before...

Pay-as-you-go pension programs can help to share risk amongst generations. While a wage-indexed pension program is best suited to share labor income risk, I show that the combination of stochastic labor income and stochastic population growth may reduce the possibilities for intergenerational...

We model the optimal reaction of a public PAYG pension system to demographic shocks. We compare the ex-ante first best and second best solution of a Ramsey planner with full commitment to the outcome under simple third best rules that mimic the pension systems observed in the real world. The...

This paper develops a theory in which households prepare for future education by adjusting the number of children they intend to raise. Income inequality lowers output per worker only if the inequality is attributed in some part to unexpected disturbances after childbirth.

From 1850 to 2000, in Western European countries life expectancy rose from 30-40 to 80 years and the average number of children per woman fell from 4 to 5 children to slightly more than one. To gauge the economic consequences of these demographic trends, we implement an overlapping generations...