We develop a framework to assess how successfully standard times eries models explain low-frequency variability of a data series. The low-frequency information is extracted by computing a finite number of weighted averages of the original data, where the weights are low-frequency trigonometric...

The U.S. economy has grown faster--and scored higher on many other macroeconomic metrics--when the President of the United States is a Democrat rather than a Republican. For many measures, including real GDP growth (on which we concentrate), the performance gap is both large and statistically...