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Selection of the Truncation Lag in Structural VARs (or VECMs) with Long-Run Restrictions

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  • Alain DeSerres
  • Alain Guay

Abstract

The authors examine the issue of lag-length selection in the context of a structural vector autoregression (VAR) and a vector error-correction model with long-run restrictions. First, they show that imposing long- run restrictions implies, in general, a moving-average (MA) component in the stationary multivariate representation. Then they examine the sensitivity of estimates of the permanent and transitory components to the selection of the lag length required in a VAR system to approximate this MA component. In summary, they find that using a lag structure that is too short can lead to a significant estimation bias of the permanent and transitory components. In addition, in comparing four different lag- selection criteria, they find that the Schwarz information criterion systematically underperforms relative to the other tests. More generally, as the order of the VAR that best approximates the data- generating process increases, the sequence-based tests (Wald, likelihood ratio) tend to provide more reliable results than the information-based tests (Akaike, Schwarz).

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Bibliographic Info

Paper provided by EconWPA in its series Econometrics with number 9510001.

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Length: 39 pages
Date of creation: 13 Oct 1995
Date of revision:
Handle: RePEc:wpa:wuwpem:9510001

Note: 39 printed pages, compressed PostScript file. Other recent Bank of Canada working papers are listed on the last page of this report.
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  1. Bernanke, Ben S., 1986. "Alternative explanations of the money-income correlation," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 25(1), pages 49-99, January.
  2. Robert G. King & Charles I. Plosser & James H. Stock & Mark W. Watson, 1991. "Stochastic trends and economic fluctuations," Working Paper Series, Macroeconomic Issues 91-4, Federal Reserve Bank of Chicago.
  3. Cooley, Thomas F. & Leroy, Stephen F., 1985. "Atheoretical macroeconometrics: A critique," Journal of Monetary Economics, Elsevier, vol. 16(3), pages 283-308, November.
  4. Faust, Jon & Leeper, Eric M, 1997. "When Do Long-Run Identifying Restrictions Give Reliable Results?," Journal of Business & Economic Statistics, American Statistical Association, vol. 15(3), pages 345-53, July.
  5. Christopher A. Sims, 1986. "Are forecasting models usable for policy analysis?," Quarterly Review, Federal Reserve Bank of Minneapolis, issue Win, pages 2-16.
  6. Sims, Christopher A, 1980. "Macroeconomics and Reality," Econometrica, Econometric Society, vol. 48(1), pages 1-48, January.
  7. Ng, S. & Perron, P., 1994. "Unit Root Tests ARMA Models with Data Dependent Methods for the Selection of the Truncation Lag," Cahiers de recherche 9423, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
  8. Blanchard, Olivier Jean & Quah, Danny, 1989. "The Dynamic Effects of Aggregate Demand and Supply Disturbances," American Economic Review, American Economic Association, vol. 79(4), pages 655-73, September.
  9. Lewis, Richard & Reinsel, Gregory C., 1985. "Prediction of multivariate time series by autoregressive model fitting," Journal of Multivariate Analysis, Elsevier, vol. 16(3), pages 393-411, June.
  10. Hall, Alastair R, 1994. "Testing for a Unit Root in Time Series with Pretest Data-Based Model Selection," Journal of Business & Economic Statistics, American Statistical Association, vol. 12(4), pages 461-70, October.
  11. Gamber, Edward N & Joutz, Frederick L, 1993. "The Dynamic Effects of Aggregate Demand and Supply Disturbances: Comment," American Economic Review, American Economic Association, vol. 83(5), pages 1387-93, December.
  12. Lippi, Marco & Reichlin, Lucrezia, 1993. "The Dynamic Effects of Aggregate Demand and Supply Disturbances: Comment," American Economic Review, American Economic Association, vol. 83(3), pages 644-52, June.
  13. King, Robert G. & Plosser, Charles I. & Rebelo, Sergio T., 1988. "Production, growth and business cycles : I. The basic neoclassical model," Journal of Monetary Economics, Elsevier, vol. 21(2-3), pages 195-232.
  14. Olivier J. Blanchard & Mark W. Watson, 1987. "Are Business Cycles All Alike?," NBER Working Papers 1392, National Bureau of Economic Research, Inc.
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Citations

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Cited by:
  1. Matthieu Lemoine & Gian Luigi Mazzi & Paola Monperrus-Veroni & Frédéric Reynes, 2008. "Real time estimation of potential output and output gap for the euro-area: comparing production function with unobserved components and SVAR approaches," Documents de Travail de l'OFCE 2008-34, Observatoire Francais des Conjonctures Economiques (OFCE).
  2. St-Amant, P., 1996. "Decomposing U.S. Nominal Interest Rates into Expected Inflation and Ex Ante Real Interest rates Using Structural VAR Methodology," Working Papers 96-2, Bank of Canada.
  3. St-Amant, P. & Tessier, D., 1998. "A Discussion of the Reliability of Results Obtained with Long-Run Identifying Restrictions," Working Papers 98-4, Bank of Canada.
  4. Z. Yejim Giirbiiz & Thomas Jobert & Ruhi Tuncer, 2008. "The Turkish Experience in Inflation Targeting: Uncertainties and the Efficiency of Monetary Policy," Economie Internationale, CEPII research center, issue 116, pages 127-146.
  5. Martha Misas Arango & Enrique López Enciso, 0000. "Desequilibrios Reales En Colombia," BORRADORES DE ECONOMIA 002291, BANCO DE LA REPÚBLICA.
  6. Alain DeSerres & Alain Guay & Pierre St-Amant, 1995. "Estimating and Projecting Potential Output Using Structural VAR Methodology," Macroeconomics 9504003, EconWPA.
  7. Mark S Astley & Anthony Garratt, 1998. "Exchange rates and prices: sources of sterling real exchange rate fluctuations 1973-94," Bank of England working papers 85, Bank of England.
  8. St-Amant, P. & Tessier, D., 1998. "Tendance des dépenses publiques et de l'inflation et évolution comparative du taux de chômage au Canada et aux États-Unis," Working Papers 98-3, Bank of Canada.
  9. Chantal Dupasquier & Alain Guay & Pierre St-Amant, 1997. "A Comparison of Alternative Methodologies for Estimating Potential Output and the Output Gap," Working Papers 97-5, Bank of Canada.
  10. Claus, I., 1997. "A Measure of Underlying Inflation in the United States," Working Papers 97-20, Bank of Canada.
  11. Kasumovick, M., 1996. "Interpreting Money-Spply and Interest-Rate Sgocks as Monetary-Policy Shocks," Working Papers 96-8, Bank of Canada.
  12. Kreiter, Zebulun & Paul, Tapas Kumar, 2010. "Deficit Financing and Inflation in Bangladesh: A Vector Autoregressive Analysis," MPRA Paper 45981, University Library of Munich, Germany.
  13. Iris Claus, 1999. "Estimating potential output for New Zealand: a structural VAR approach," Reserve Bank of New Zealand Discussion Paper Series DP2000/03, Reserve Bank of New Zealand.
  14. Alain DeSerres, & Alain Guay & Pierre St-Amant, . "Estimating and Projecting Potential Output Using Structural VAR Methodology: The Case of the Mexican Economy," Working Papers 95-2, Bank of Canada.
  15. Dupasquier, Chantal & Guay, Alain & St-Amant, Pierre, 1999. "A Survey of Alternative Methodologies for Estimating Potential Output and the Output Gap," Journal of Macroeconomics, Elsevier, vol. 21(3), pages 577-595, July.
  16. Lalonde, René, 1998. "Le PIB potentiel des États-Unis et ses déterminants : la productivité de la main-d'oeuvre et le taux d'activité," Working Papers 98-13, Bank of Canada.
  17. Steven Morling, 2002. "Output Adjustment in Developing Countries: a Structural Var Approach," Discussion Papers Series 307, School of Economics, University of Queensland, Australia.
  18. St-Amant, P. & van Norden, S., 1997. "Measurement of the Output Gap: A Discussion of Recent Research at the Bank of Canada," Technical Reports 79, Bank of Canada.

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