The Desirable Smooth Operator, Incomplete Pass Through And The "Zero Bound"
The typical New-Keynesian small-open-economy model has qualitative features and monetary-policy prescriptions similar to their original closed-economy counterparts - i.e. complete stablization of domestic inflation is sufficient for optimal policy. We consider a version of the model here where that isomorphism no longer holds and where the zero-interest-rate lower bound matters. Under the commitment benchmark, the optimal interest-rate rule is intrinsically intertial. Under time-consistent policy, it is still optimal to delegate policy to an interest-rate smoothing central banker despite the fact that complete stablization od domestic inflation is no longer possible. We thus extend the analysis of Woodford (1999) to a nontrivial small open economy setting. Our result is robust to alternative degrees of pass through, the types of shocks impinging the natural rate, and minor departures from optimal pricing behaviour.
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