Optimal inflation targeting rule under positive hazard functions for price changes

This paper reconsiders optimal inflation targeting in a model where persistence is generated by rational choices of the price-makers because of time-dependent pricing mechanism. In this framework, which generalizes the traditional Calvo model, inflation persistence is intrinsic, as it is micro-founded assuming that firms' pricing decisions depend on the time elapsed from the last price reset. We use a linear-quadratic approach to study the welfare effects and optimal policies. We disentangled two distortion sources showing how welfare falls in both the average of the probability of changing prices and its distribution among different firms. Described the underlying distortions of our setup, we analyze its normative implications for optimal inflation targeting. The issues of uncertainty and robustness are also considered: By using robust control techniques, we in fact consider the consequences of implementing "wrong" monetary rule due to a misinterpretation of sources of inflation inertia.