We formulate the central bank's problem of selecting an optimal long-run inflation rate as the choice of a distorting tax by a planner who wishes to maximize discounted utility for a heterogeneous population of infinitely-lived households in an economy with constant aggregate income. Households...

We formulate the central bank’s problem of selecting an optimal long-run inflation rate as the choice of a distorting tax by a planner who wishes to maximize discounted stationary utility for a heterogeneous population of infinitely-lived households in an economy with constant aggregate income...