In this paper we investigate the behavior of in?ation persistence in the United States. To model in?ation we estimate an
autoregressive GARCH-in-mean model with variable coe¢ cients and we propose a new measure of second-order time varying persistence,
which not only distinguishes between changes in the dynamics of in?ation and its volatility, but it also allows for feedback from nominal
uncertainty to in?ation. Our empirical results suggest that in?ation persistence in the United States is best described as unchanged.
Another important result relates to the Monte Carlo experiment evidence which reveal that if the model is misspeci?ed, then commonly
used unit root tests will misclassify in?ation of being a nonstationary, rather than a stationary process.