Forecasting with Factor-Augmented Error Correction Models

As a generalization of the factor-augmented VAR (FAVAR) and of the Error Correction Model (ECM), Banerjee and Marcellino (2009) introduced the Factor-augmented Error Correction Model (FECM). The FECM combines error-correction, cointegration and dynamic factor models, and has several conceptual advantages over the standard ECM and FAVAR models. In particular, it uses a larger dataset than the ECM and incorporates the long-run information which the FAVAR is missing because of its specification in differences. In this paper, we examine the forecasting performance of the FECM by means of an analytical example, Monte Carlo simulations and several empirical applications. We show that FECM generally offers a higher forecasting precision relative to the FAVAR, and marks a useful step forward for forecasting with large datasets.

[1]  Anindya Banerjee,et al.  Forecasting Macroeconomic Variables Using Diffusion Indexes in Short Samples with Structural Change , 2008 .

[2]  Jean Boivin,et al.  Measuring the Effects of Monetary Policy: A Factor-Augmented Vector Autoregressive (FAVAR) Approach , 2003 .

[3]  H. Weigt Germany's Wind Energy: The Potential for Fossil Capacity Replacement and Cost Saving , 2008 .

[4]  Joseph Cullen Measuring the Environmental Benefits of Wind-Generated Electricity , 2013 .

[5]  Clive W. J. Granger,et al.  A cointegration analysis of treasury bill yields , 1992 .

[6]  Serena Ng,et al.  Panel cointegration with global stochastic trends , 2008, 0805.1768.

[7]  J. Bai,et al.  Confidence Intervals for Diffusion Index Forecasts and Inference for Factor-Augmented Regressions , 2006 .

[8]  J. Bai,et al.  Determining the Number of Factors in Approximate Factor Models , 2000 .

[9]  S. Johansen STATISTICAL ANALYSIS OF COINTEGRATION VECTORS , 1988 .

[10]  Peter Lang Cost and Quantity of Greenhouse Gas Emissions Avoided by Wind Generation , 2009 .

[11]  Andrew T. Levin,et al.  Does Inflation Targeting Anchor Long-Run Inflation Expectations? Evidence from Long-Term Bond Yields in the U.S., U.K. And Sweden , 2006 .

[12]  Clifford Lam,et al.  Estimation of latent factors for high-dimensional time series , 2011 .

[13]  Stine Grenaa Jensen,et al.  Simultaneous attainment of energy goals by means of green certificates and emission permits , 2003 .

[14]  N. H. Ravindranath,et al.  2006 IPCC Guidelines for National Greenhouse Gas Inventories , 2006 .

[15]  David F. Hendry,et al.  Robustifying forecasts from equilibrium-correction systems , 2006 .

[16]  Massimiliano Marcellino,et al.  Factor-Augmented Error Correction Models , 2008 .

[17]  Jushan Bai,et al.  Estimating cross-section common stochastic trends in nonstationary panel data , 2004 .

[18]  M. Hallin,et al.  The Generalized Dynamic-Factor Model: Identification and Estimation , 2000, Review of Economics and Statistics.

[19]  Friedrich Kunz,et al.  Start Me Up Modeling of Power Plant Start-Up Conditions and Their Impact on Prices , 2008 .

[20]  J. Bai,et al.  A Panic Attack on Unit Roots and Cointegration , 2001 .

[21]  Michael P. Clements,et al.  Forecasting in Cointegrated Systems , 1995 .

[22]  Christian Schumacher,et al.  Factor-MIDAS for Now- and Forecasting with Ragged-Edge Data: A Model Comparison for German GDP , 2007, SSRN Electronic Journal.

[23]  G. Kapetanios,et al.  Forecasting Exchange Rates with a Large Bayesian VAR , 2008 .

[24]  Sandra Eickmeier,et al.  How Successful are Dynamic Factor Models at Forecasting Output and Inflation? A Meta-Analytic Approach , 2008 .

[25]  F. Diebold,et al.  Forecasting the Term Structure of Government Bond Yields , 2002 .

[26]  G. Kapetanios,et al.  Forecasting Government Bond Yields with Large Bayesian Vars , 2010 .

[27]  Daniel T. Kaffine,et al.  Emissions savings from wind power generation: Evidence from Texas, California and the Upper Midwest , 2012 .

[28]  J. Stock,et al.  Why Has U.S. Inflation Become Harder to Forecast? , 2006 .

[29]  Xu Cheng,et al.  Semiparametric Cointegrating Rank Selection , 2008 .

[30]  Massimiliano Marcellino,et al.  A comparison of Direct and Iterated AR Methods for Forecasting Macroeconomic Series h-Steps Ahead , 2006 .

[31]  A. Denny Ellerman,et al.  CO2 Abatement in the UK Power Sector: Evidence from the EU ETS Trial Period , 2008 .

[32]  Clive W. J. Granger,et al.  A Cointegration Analysis of Treasury Bill Yields , 1992 .

[33]  Andrew T. Levin,et al.  Does Inflation Targeting Anchor Long-Run Inflation Expectations? Evidence from the U.S., UK, and Sweden , 2010 .

[34]  Massimiliano Marcellino,et al.  Principal components at work: the empirical analysis of monetary policy with large data sets , 2005 .

[35]  A. Denny Ellerman,et al.  Short-term CO2 abatement in the European power sector: 2005-2006 , 2008 .

[36]  Glenn D. Rudebusch,et al.  Policy Rules for Inflation Targeting , 1998 .

[37]  M. O'Malley,et al.  Wind generation, power system operation, and emissions reduction , 2006, IEEE Transactions on Power Systems.

[38]  C. Engel,et al.  Exchange Rates and Fundamentals , 2003, Journal of Political Economy.

[39]  Klaus Skytte,et al.  Interplay between Environmental Regulation and Power Markets , 2006 .

[40]  Marco Lippi,et al.  The Generalized Dynamic Factor Model , 2002 .

[41]  R. Engle,et al.  Testing for Common Features , 1990 .

[42]  William D'haeseleer,et al.  Interactions between measures for the support of electricity from renewable energy sources and CO2 mitigation , 2009 .

[43]  J. Stock,et al.  Testing for Common Trends , 1988 .

[44]  J. Stock,et al.  Forecasting Using Principal Components From a Large Number of Predictors , 2002 .

[45]  A. Denny Ellerman,et al.  Over-Allocation or Abatement? A Preliminary Analysis of the EU Ets Based on the 2005 Emissions Data , 2006 .

[46]  Jan Abrell,et al.  The Interaction of Emissions Trading and Renewable Energy Promotion , 2008 .

[47]  Kenneth S. Rogoff,et al.  Exchange rate models of the seventies. Do they fit out of sample , 1983 .

[48]  C. Granger,et al.  Co-integration and error correction: representation, estimation and testing , 1987 .

[49]  Glenn D. Rudebusch,et al.  Policy Rules for In ation Targeting ¤ , 1998 .

[50]  Todd E. Clark,et al.  Approximately Normal Tests for Equal Predictive Accuracy in Nested Models , 2005 .

[51]  Paolo Surico,et al.  (Un)Predictability and Macroeconomic Stability , 2006, SSRN Electronic Journal.

[52]  J. Stock,et al.  Macroeconomic Forecasting Using Diffusion Indexes , 2002 .

[53]  Christian Gengenbach,et al.  Panel Error Correction Testing with Global Stochastic Trends , 2008 .

[54]  J. Stock,et al.  A Comparison of Direct and Iterated Multistep Ar Methods for Forecasting Macroeconomic Time Series , 2005 .

[55]  Poul Erik Morthorst Interactions of a tradable green certificate market with a tradable permits market , 2001 .