We construct a monetary economy in which agents face aggregate demand shocks and heterogeneous idiosyncratic preference shocks. We show that, even when the Friedman rule is the best interest rate policy the central bank can implement, not all agents are satiated at the zero lower bound and...

In monetary models in which agents are subject to trading shocks there is typically an ex-post inefficiency in that some agents are holding idle balances while others are cash constrained. This inefficiency creates a role for financial intermediaries, such as banks, who accept nominal deposits...