Lucas (1972) is the pathbreaking analysis of the neutrality and temporary non-neutrality of money. But our central banks set interest rate targets, and do not even pretend to control money supplies. How is inflation determined under an interest rate target? We finally have a complete theory of...

We measure monetary policy shocks as changes in the Fed funds target rate that surprise bond markets in daily data. These shock series avoid the omitted variable, time-varying parameter, and orthogonalization problem of monthly VARs, and do not impose the expectations hypothesis. We find...