Uncertain Length of Life, Retirement Age, and Optimal Pension Design

In this paper, we consider how the hours of work and retirement age ought to respond to a change in the uncertainty of the length of life. In a first best framework, where a benevolent government exercises perfect control over the individuals' labor supply and retirement-decisions, the results show that a decrease in the standard deviation of life-length leads to an increase in the optimal retirement age and a decrease in the hours of work per period spent working. This result is robust, and is also derived in models of decentralized decision-making where individuals decide on their own consumption, labor supply, and retirement age, and where the government attempts to affect their behavior and welfare through redistribution and pension policy