Forecasting with Global Vector Autoregressive Models: a Bayesian Approach

This paper develops a Bayesian variant of global vector autoregressive (B-GVAR) models to forecast an international set of macroeconomic and financial variables. We propose a set of hierarchical priors and compare the predicive performance of B-GVAR models in terms of point and density forecasts for one-quarter-ahead and four-quarter-ahead forecast horizons. We find that forecasts can be improved by employing a global framework and hierarchical priors which induce country-specific degrees of shrinkage on the coefficients of the GVAR model. Forecasts from various B-GVAR specifications tend to outperform forecasts from a naive univariate model, a global model without shrinkage on the parameters and country-specific vector autoregressions.

[1]  G. Koop.  Forecasting with Medium and Large Bayesian VARs , 2013 .

[2]  Dongchu Sun,et al.  Bayesian stochastic search for VAR model restrictions , 2008 .

[3]  Fei Han,et al.  ASEAN-5 Macroeconomic Forecasting Using a GVAR Model , 2011 .

[4]  M. Hashem Pesaran,et al.  The GVAR Handbook: Structure and Applications of a Macro Model of the Global Economy for Policy Analysis , 2013 .

[5]  Michele Lenza,et al.  Prior Selection for Vector Autoregressions , 2012, Review of Economics and Statistics.

[6]  D. Giannone,et al.  Large Bayesian vector auto regressions , 2010 .

[7]  Marcel Fratzscher,et al.  Identifying the Global Transmission of the 2007-09 Financial Crisis in a GVAR Model , 2010, SSRN Electronic Journal.

[8]  J. Geweke,et al.  Bayesian Forecasting , 2004 .

[9]  Robert B. Litterman.  Forecasting with Bayesian Vector Autoregressions-Five Years of Experience , 1984 .

[10]  Florian Huber,et al.  Does Joint Modelling of the World Economy Pay Off? Evaluating Multivariate Forecasts from a Bayesian GVAR , 2015 .

[11]  John Geweke,et al.  Bayesian econometrics and forecasting , 2001 .

[12]  Florian Huber,et al.  The international transmission of US shocks—Evidence from Bayesian global vector autoregressions , 2016 .

[13]  J. Geweke,et al.  Comparing and Evaluating Bayesian Predictive Distributions of Asset Returns , 2008 .

[14]  Luc Bauwens,et al.  Bayesian Inference in Dynamic Econometric Models , 2000 .

[15]  E. George,et al.  Journal of the American Statistical Association is currently published by American Statistical Association. , 2007 .

[16]  Sune Karlsson.  Forecasting with Bayesian Vector Autoregression , 2013 .

[17]  M. Pesaran,et al.  Modeling Regional Interdependencies Using a Global Error-correcting Macroeconometric Model Federal Reserve Bank of New York , 2001 .

[18]  David P. Rodgers,et al.  Improvements in multiprocessor system design , 1985, ISCA '85.

[19]  John Geweke,et al.  Chapter 1 Bayesian Forecasting , 2006 .

[20]  Todd E. Clark.  Real-Time Density Forecasts From Bayesian Vector Autoregressions With Stochastic Volatility , 2011 .

[21]  Jonas Dovern,et al.  International transmission and business-cycle effects of financial stress , 2014 .

[22]  Norman R. Swanson,et al.  Comments on “Forecasting economic and financial variables with global VARs” , 2009 .

[23]  Mattias Villani,et al.  Forecasting Performance of an Open Economy DSGE Model , 2007 .

[24]  Chien-Chieh Huang,et al.  Innovation and imitation in a vertically differentiated model—R&D costs as a prerequisite to patentability , 2014 .

[25]  C. Sims,et al.  Bayesian methods for dynamic multivariate models , 1998 .

[26]  L. Alessi,et al.  Comparing global macroeconomic forecasts , 2009 .

[27]  Dimitris Korobilis,et al.  Model Uncertainty in Panel Vector Autoregressive Models , 2014 .

[28]  Dimitris Korobilis,et al.  Prior Selection for Panel Vector Autoregressions , 2015, Comput. Stat. Data Anal..

[29]  Robert B. Litterman,et al.  Forecasting and Conditional Projection Using Realistic Prior Distributions , 1983 .

[30]  Y. Shin,et al.  Probabilistic forecasting of output growth, inflation and the balance of trade in a GVAR framework , 2012 .

[31]  M. Pesaran,et al.  Long Run Macroeconomic Relations in the Global Economy , 2007, SSRN Electronic Journal.

[32]  M. Hashem Pesaran,et al.  Global and National Macroeconometric Modelling , 2006 .

[33]  M. Pesaran,et al.  Exploring the International Linkages of the Euro Area: A Global VAR Analysis , 2006, SSRN Electronic Journal.

[34]  Luca Onorante,et al.  Short-Term Inflation Projections: A Bayesian Vector Autoregressive Approach , 2010 .

[35]  Todd E. Clark,et al.  Bayesian VARs: Specification Choices and Forecast Accuracy , 2011 .

[36]  Til Schuermann,et al.  Forecasting Economic and Financial Variables with Global VARs , 2007 .

[37]  Anthony Garratt,et al.  Global and National Macroeconometric Modelling: A Long-Run Structural Approach , 2006 .

[38]  K. R. Kadiyala,et al.  Numerical Methods for Estimation and Inference in Bayesian VAR-models , 1997 .

[39]  Sandra Eickmeier,et al.  How Do Credit Supply Shocks Propagate Internationally? A Gvar Approach , 2011, SSRN Electronic Journal.