Re-entitlement effects with duration-dependent unemployment insurance in a stochastic matching equilibrium

In the context of a standard equilibrium matching framework, this paper considers how a duration-dependent unemployment insurance (UI) system affects the dynamics of unemployment and wages in an economy subject to stochastic job-destruction shocks. It establishes that re-entitlement effects induced by a finite duration UI program generate intertemporal transfers from firms that hire in future booms to firms that hire in current recessions. These transfers imply a net hiring subsidy in recessions which stabilizes unemployment levels over the cycle.