Designing a good unemployment insurance scheme is a delicate matter. In a system with no or little insurance, households may be subject to a high income risk, whereas excessively generous unemployment insurance systems are known to lead to high unemployment rates and are costly both from a fiscal perspective and for society as a whole. Andreas Pollak investigates what an optimal unemployment insurance system would look like, i.e. a system that constitutes the best possible compromise between income security and incentives to work. Using theoretical economic models and complex numerical simulations, he studies the effects of benefit levels and payment durations on unemployment and welfare. As the models allow for considerable heterogeneity of households, including a history-dependent labor productivity, it is possible to analyze how certain policies affect individuals in a specific age, wealth or skill group. The most important aspect of an unemployment insurance system turns out to be the benefits paid to the long-term unemployed. If this parameter is chosen too high, a large number of households may get caught in a long spell of unemployment with little chance of finding work again. Based on the predictions in these models, the so-called "Hartz IV" labor market reform recently adopted in Germany should have highly favorable effects on the unemployment rates and welfare in the long run.

Abstract: This paper analyzes optimal unemployment insurance over the business cycle in a search model in which unemployment stems from matching frictions (in booms) and job rationing (in recessions). Job rationing during recessions introduces two novel effects ignored in previous studies of optimal unemployment insurance. First, job-search efforts have little effect on aggregate unemployment because the number of jobs available is limited, independently of matching frictions. Second, while job-search efforts increase the individual probability of finding a job, they create a negative externality by reducing other jobseekers' probability of finding one of the few available jobs. Both effects are captured by the positive and countercyclical wedge between micro-elasticity and macro-elasticity of unemployment with respect to net rewards from work. We derive a simple optimal unemployment insurance formula expressed in terms of those two elasticities and risk aversion. The formula coincides with the classical Baily-Chetty formula only when unemployment is low, and macro- and micro-elasticity are (almost) equal. The formula implies that the generosity of unemployment insurance should be countercyclical. We illustrate this result by simulating the optimal unemployment insurance over the business cycle in a dynamic stochastic general equilibrium model calibrated with US data