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...

Freeman (1999) proposes a model in which discount window lending and open market operations have different effects. This is important because in most of the literature, these policies are indistinguishable. However, Freeman’s argument that the central bank should absorb losses associated with...

We develop a model in which financial intermediaries hold liquidity to protect themselves from shocks. Depending on parameter values, banks may choose to hold too much or too little liquidity on aggregate compared with the socially optimal amount. The model endogenously generates a situation of...