This article develops a model of bank runs and crises and analyses how the presence of a lender of last resort (LOLR) affects the solvency of the banking system. We obtain a one to one mapping from the depositors' equilibrium strategy to an optimal contract prevailing in the economy. The study...

In a version of the Diamond and Dybvig (1983) model with aggregate uncertainty, we show that there exists an equilibrium with the following properties: all consumers deposit at the bank, all patient consumers wait for the last period to withdraw, and the bank fails with strictly positive...