When markets are incomplete, social security can partially insure against idiosyncratic and aggregate risks. We incorporate both risks into an analytically tractable model with two overlapping generations and demonstrate that they interact over the life-cycle. The interactions appear even though...

The paper considers an unfunded linear pension system when workers make labor decisions more often than once in their life. To capture this feature, a three-period-overlapping-generations model is employed. On the one hand, the paper analyzes whether or not a Pay-as-you-go pension scheme is...

In this paper we consider the effects of population aging on a pay-as-you-go financed defined contributions pension scheme. We show that when retirement decisions are endogenous, aging increases the retirement age and the steady state level of capital. The effect on pension payouts is in general...

In order to help in designing an accurate pension reform, we determine the resource allocation in an endogenous fertility model that generates an endogenous demographic transition by means of distinguishing between female and male labor. We analyze the problem of the optimal solution and...

We explore the feasibility of a funded pension system with intergenerational risk sharing when participation in the system is voluntary. Typically, the willingness of the young to participate depends on their belief about the future young's willingness to do so. We characterise equilibria with...