With sticky prices, optimizing agents and money in the utility function, I derive the exact analytical solution for optimal monetary policy given a zero lower bound (ZLB) on the interest rate. The Phillips curve is Neo-Classical, and the ZLB is then not a constraint on optimal policy. Optimal...

We consider monetary-policy rules with inflation-rate targets and interest-rate or money-growth instruments using a flexible-price, perfect-foresight model. There is always a locally-unique target equilibrium. There may also be below-target equilibria (BTE) with inflation always below target and...