We develop a simple model of managing a system subject to pollution damage under risk of an abrupt and random jump in the damage coefficient. The model allows the full dynamic characterization of the optimal emission policies under uncertainty. The results, that imply prudent behavior due to...

A pay-as-you-go (paygo) pension program may provide intergenerational pooling of risks to individuals' labor and capital income over the life cycle. By means of a model that provides illuminating closed form solutions, we demonstrate that the magnitude of the optimal paygo program and the nature...