Ignoring the existence of the zero bound on nominal interest rates one considerably understates the value of monetary commitment in New Keynesian models. A stochastic forward-looking model with an occasionally binding lower bound, calibrated to the U.S. economy, suggests that low values for the natural rate of interest lead to sizeable output losses and deflation under discretionary monetary policy. The fall in output and deflation are much larger than in the case with policy commitment and do not show up at all if the model abstracts from the existence of the lower bound. The welfare losses of discretionary policy increase even further when inflation is partly determined by lagged inflation in the Phillips curve. These results emerge because private sector expectations and the discretionary policy response to these expectations reinforce each other and cause the lower bound to be reached much earlier than under commitment.
This paper studies the optimal long-run inflation rate (OIR) in a small New Keynesian model, where the only policy instrument is a short-term nominal interest rate that may occasionally run against a zero lower bound (ZLB). The model allows for worst-case scenarios of misspecification. The analysis shows first, if the government optimally commits, the OIR is below 1 percent annually. Second, if the government re-optimizes each period, the OIR rises markedly to 17 percent. Third, if the government commits only to an inertial Taylor rule, the inflation bias is eliminated at very low cost in terms of welfare for the representative household. (JEL E12, E31, E43, E52, E58)
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