In the presence of uncertain lifetimes, social security has the characteristics of an annuity: a consumer pays a tax when young in exchange for receiving a social security benefit if he survives to be old. If consumers have identical ex ante mortality probabilities, then a fully funded social...

In this paper we explore the implication of a morbidity risk for the relationship between longevity and annuitization. We divide old-age life into two periods with uncertain survival from the end of the first to the end of the second. We show that a rise in the survival rate causes different...