In this paper, we investigate the nature of structural breaks in inflation by estimating a version
of the New Keynesian Phillips curve (NKPC) in the presence of a unit root in inflation. We
show that, with a unit root in inflation, the NKPC implies an unobserved components model
that consists of three components: a stochastic trend component, a component that depends
upon current and future forecasts of real economic activity, and a stationary component which
is potentially serially correlated (or a component of inflation that is not explained by the conventional
forward-looking NKPC). Our empirical results suggest that, with an increase in trend
inflation during the Great Inflation period, the response of inflation to real economic activity
decreases and the persistence of the inflation gap increases due to an increase in the persistence
of the unobserved stationary component. These results are in line with the predictions
of Cogley and Sbordone (2008), who show that the coefficients of the NKPC are functions of
time-varying trend inflation