The distribution of unemployment duration in our equilibrium matching model with spell-dependent unemployment bene?ts displays a time-varying exit rate. Building on Semi-Markov processes, we translate these exit rates into an expres- sion for the aggregate unemployment rate. Structural...

We analyse optimal saving of risk-averse households when labour income stochastically jumps between two states. The generalized Keynes-Ramsey rule includes a precautionary savings term. A phase diagram analysis il- lustrates consumption and wealth dynamics within and between states. There is an...