The nineteenth-century economist Walter Bagehot maintained that in order to prevent bank panics, a central bank should provide liquidity at a very high rate of interest. However, most of the theoretical literature on liquidity provision suggests that central banks should lend at an interest rate...

In this paper, we argue that the observed di¤erence in the cost of intraday and overnightliquidity is part of an optimal payments system design. In our environment, the interestcharged on overnight liquidity a¤ects output while the cost of intraday liquidity onlyaffects the distribution of...

In this paper I ask whether a central bank policy of providing liquidity to banks during panics can prevent bank runs without causing moral hazard. This kind of policy has been widely advocated, most notably by Bagehot (1873). To analyze such a policy, I build a model with three key features: 1)...