Central banks have been considering the introduction of central bank digital currencies (CBDCs). The theoretical literature indicates that this may influence private banks' lending activity and their profitability with implications for financial stability. To provide empirical evidence on this...

We analyze optimal monetary policy in a sticky price model where the central bank supplies money outright via asset purchases and lends money temporarily against collateral. The terms of central bank lending affect rationing of money and impact on macroeconomic aggregates. The central bank can...