We develop a tractable model of banks' liquidity management and the credit channel of monetary policy. Banks finance loans by issuing demand deposits. Loans are illiquid, and transfers of deposits across banks must be settled with reserves in a frictional over the counter market. To mitigate the...

We develop a new tractable model of banks' liquidity management and the credit channel of monetary policy. Banks finance loans by issuing demand deposits. Because loans are illiquid, deposit transfers across banks must be settled with reserves. Deposit withdrawals are random, and banks manage...