TY - JOUR AU - Mueller,Ulrich AU - Watson,Mark W. TI - Testing Models of Low-Frequency Variability JF - National Bureau of Economic Research Working Paper Series VL - No. 12671 PY - 2006 Y2 - November 2006 UR - http://www.nber.org/papers/w12671 L1 - http://www.nber.org/papers/w12671.pdf N1 - Author contact info: Ulrich Mueller Department of Economics Princeton University Princeton, NJ 08544-1013 E-Mail: umueller@princeton.edu Mark W. Watson Department of Economics Princeton University Princeton, NJ 08544-1013 Tel: 609/258-4811 Fax: 609/258-5533 E-Mail: mwatson@princeton.edu AB - 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 series. The properties of these weighted averages are then compared to the asymptotic implications of a number of common time series models. We apply the framework to twenty U.S. macroeconomic and financial time series using frequencies lower than the business cycle. ER -