The time series literature reports two stylized facts about output dynamics in the United States. GNP growth is positively autocorrelated over short horizons and negatively autocorrelated over longer horizons, and GNP has an important trend reverting component which has a hump-shaped moving...

This paper studies the effects of applying the Hodrick-Prescott filter to trend and difference stationary time series. Applying the Hodrick-Prescott filter to an integrated process is similar to detrending a random walk. When the data are difference stationary, the Hodrick-Prescott filter can...