We present the first necessary and sufficient conditions for there to be a unique perfect-foresight solution to an otherwise linear dynamic model with occasionally binding constraints, given a fixed terminal condition. We derive further results on the existence of a solution in the presence of...

We construct the first algorithm for the perfect foresight solution of otherwise linear models with occasionally binding constraints, with fixed terminal conditions, that is guaranteed to return a solution in finite time, if one exists. We also provide a proof of the inescapability of the "curse...

We present the first necessary and sufficient conditions for there to be a unique perfect-foresight solution to an otherwise linear dynamic model with occasionally binding constraints, given a fixed terminal condition. We derive further conditions on the existence of a solution in such models....

The paper analyses the effectiveness of fiscal tools at the zero lower bound (ZLB). A non-linear New Keynesian DSGE model with occasionally binding constraints on monetary policy and borrowing is applied. When the ZLB binds in a liquidity trap, government spending becomes more effective in...

Credit spreads display occasional spikes and are more strongly countercyclical in times of financial stress. Financial crises are extreme cases of this nonlinear behavior, featuring skyrocketing credit spreads, sharp losses in bank equity, and deep recessions. We develop a macroeconomic model...

We present a model in which banks and other financial intermediaries face both occasionally binding borrowing constraints, and costs of equity issuance. Near the steady state, these intermediaries can raise equity finance at no cost through retained earnings. However, even moderately large...