Dynamic Factor Model with Infinite Dimensional Factor Space: Forecasting

Abstract. The paper compares the pseudo real-time forecasting performance of threeDynamic Factor Models: (i) The standard principal-component model, Stock and Watson(2002a), (ii) The model based on generalized principal components, Forni et al. (2005),(iii) The model recently proposed in Forni et al. (2015) and Forni et al. (2016). We employa large monthly dataset of macroeconomic and financial time series for the US economy,which includes the Great Moderation, the Great Recession and the subsequent recovery.Using a rolling window for estimation and prediction, we find that (iii) neatly outperforms(i) and (ii) in the Great Moderation period for both Industrial Production and Inflation,and for Inflation over the full sample. However, (iii) is outperfomed by (i) and (ii) over thefull sample for Industrial Production.