Suppose are independent subexponential random variables with partial sums. We show that if the pairwise sums of the ’s are subexponential, then is subexponential and . The result is applied to give conditions under which as , where are constants such that is a.s. convergent. Asymptotic tail...

The paper addresses two related issues: the optimal intergenerational sharing of laborproductivity risks, through a Pay-As-You-Go (PAYG) social security, and the mix ofPAYG and savings for retirement provision in a small open economy. It shows that partial contingency of the social security on...

This paper focuses on the relation between worker's productivity and retirement decision. Assuming that productivity follows geometric Brownian motion with drift, there exists such a level of productivity for which it is optimal to retire. The worker buys an insurance, which gives a constant...

In this paper we study the implications of population ageing in an economy with a sizeable non-traded goods sector. To this effect a highly stylized micro-founded macro model is constructed in which the age structure of the population plays a non-trivial role. The model distinguishes separate...

A model is presented that explains the mix between funded and unfunded pension systems. It turns out that total pension and the relative shares of the two systems may be explained and are determined by the population growth rate, technological growth, the time-preference discount rate, the...

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...