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Forecasting in dynamic factor models using Bayesian model averaging

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Author Info
Gary Koop
Simon Potter

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Abstract

This paper considers the problem of forecasting in dynamic factor models using Bayesian model averaging. Theoretical justifications for averaging across models, as opposed to selecting a single model, are given. Practical methods for implementing Bayesian model averaging with factor models are described. These methods involve algorithms which simulate from the space defined by all possible models. We discuss how these simulation algorithms can also be used to select the model with the highest marginal likelihood (or highest value of an information criterion) in an efficient manner. We apply these methods to the problem of forecasting GDP and inflation using quarterly U.S. data on 162 time series. For both GDP and inflation, we find that the models which contain factors do out-forecast an AR(p), but only by a relatively small amount and only at short horizons. We attribute these findings to the presence of structural instability and the fact that lags of dependent variable seem to contain most of the information relevant for forecasting. Relative to the small forecasting gains provided by including factors, the gains provided by using Bayesian model averaging over forecasting methods based on a single model are appreciable. Copyright Royal Economic Socciety 2004

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Article provided by Royal Economic Society in its journal The Econometrics Journal.

Volume (Year): 7 (2004)
Issue (Month): 2 (December)
Pages: 550-565
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Handle: RePEc:ect:emjrnl:v:7:y:2004:i:2:p:550-565

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  1. Andersson, Michael K & Karlsson, Sune, 2007. "Bayesian Forecast Combination for VAR Models," Working Papers 2007:13, Örebro University, Swedish Business School. [Downloadable!]
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  2. Gary Koop & Dimitris Korobilis, 2009. "UK Macroeconomic Forecasting with Many Predictors: Which Models Forecast Best and When Do They Do So?," Working Papers 09-17, University of Strathclyde Business School, Department of Economics. [Downloadable!]
  3. Chun Liu & John M. Maheu, 2009. "Forecasting realized volatility: a Bayesian model-averaging approach," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 24(5), pages 709-733. [Downloadable!]
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  4. Eklund, Jana & Karlsson, Sune, 2007. "An Embarrassment of Riches: Forecasting Using Large Panels," Working Papers 2007:1, Örebro University, Swedish Business School. [Downloadable!]
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  5. David Jamieson Bolder & Yuliya Romanyuk, 2008. "Combining Canadian Interest-Rate Forecasts," Working Papers 08-34, Bank of Canada. [Downloadable!]
  6. Todd E. Clark & Michael W. McCracken, 2006. "Averaging forecasts from VARs with uncertain instabilities," Research Working Paper RWP 06-12, Federal Reserve Bank of Kansas City. [Downloadable!]
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  7. Todd E. Clark & Michael W. McCracken, 2008. "Combining forecasts from nested models," Working Papers 2008-037, Federal Reserve Bank of St. Louis. [Downloadable!]
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  8. Eklund, Jana & Karlsson, Sune, 2005. "Forecast Combination and Model Averaging using Predictive Measures," Working Paper Series 191, Sveriges Riksbank (Central Bank of Sweden). [Downloadable!]
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  9. Deborah Gefang & Rodney Strachan, 2008. "Nonlinear Impacts of International Business Cycles on the UK — a Bayesian Smooth Transition VAR," Discussion Papers in Economics 08/4, Department of Economics, University of Leicester. [Downloadable!]
  10. Eklund, Jana & Karlsson, Sune, 2007. "Computational Efficiency in Bayesian Model and Variable Selection," Working Papers 2007:4, Örebro University, Swedish Business School. [Downloadable!]
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