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Sufficient information in structural VARs

  • Mario Forni

    ()

  • Luca Gambetti

    ()

We derive necessary and sufficient conditions under which a set of variables is information-ally sufficient, i.e. contains enough information to estimate the structural shocks with a VAR model. Based on such conditions, we provide a procedure to test for informational sufficiency. If sufficiency is rejected, we propose a strategy to amend the VAR. Our method can be applied to FAVAR models and can be used to determine how many factors to include in such models. We apply our procedure to a VAR including TFP, unemployment and per-capita hours worked. We find that the three variables are not informationally sucient. When adding missing information, the effects of technology shocks change dramatically.

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File URL: http://www.recent.unimore.it/wp/RECent-wp62.pdf
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Paper provided by University of Modena and Reggio E., Dept. of Economics "Marco Biagi" in its series Center for Economic Research (RECent) with number 062.

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Length: pages 26
Date of creation: Jun 2011
Date of revision:
Handle: RePEc:mod:recent:062
Contact details of provider: Web page: http://www.recent.unimore.it/

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  1. Lawrence J. Christiano & Martin Eichenbaum & Robert Vigfusson, 2003. "What Happens After a Technology Shock?," NBER Working Papers 9819, National Bureau of Economic Research, Inc.
  2. Jesus Fernandez-Villaverde & Juan F. Rubio-Ramirez & Thomas J. Sargent, 2005. "A, B, C’s (And D’s) For Understanding VARS," PIER Working Paper Archive 05-018, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania.
  3. Forni, Mario & Giannone, Domenico & Lippi, Marco & Reichlin, Lucrezia, 2007. "Opening the black box: structural factor models with large cross-sections," Working Paper Series 0712, European Central Bank.
  4. Federico Ravenna, 2006. "Vector autoregressions and reduced form representations of DSGE models," Working Papers 0619, Banco de España;Working Papers Homepage.
  5. Stock J.H. & Watson M.W., 2002. "Forecasting Using Principal Components From a Large Number of Predictors," Journal of the American Statistical Association, American Statistical Association, vol. 97, pages 1167-1179, December.
  6. Lippi, Marco & Reichlin, Lucrezia, 1994. "VAR analysis, nonfundamental representations, blaschke matrices," Journal of Econometrics, Elsevier, vol. 63(1), pages 307-325, July.
  7. Giannone, Domenico & Reichlin, Lucrezia, 2006. "Does information help recovering structural shocks from past observations?," Working Paper Series 0632, European Central Bank.
  8. Mario Forni & Lucrezia Reichlin, 1996. "Dynamic common factors in large cross-sections," ULB Institutional Repository 2013/10149, ULB -- Universite Libre de Bruxelles.
  9. Marco Lippi & Lucrezia Reichlin, 1993. "The dynamic effects of aggregate demand and supply disturbances: comment," ULB Institutional Repository 2013/10159, ULB -- Universite Libre de Bruxelles.
  10. Forni, Mario & Gambetti, Luca, 2010. "Fiscal Foresight and the Effects of Goverment Spending," CEPR Discussion Papers 7840, C.E.P.R. Discussion Papers.
  11. Jushan Bai & Serena Ng, 2000. "Determining the Number of Factors in Approximate Factor Models," Boston College Working Papers in Economics 440, Boston College Department of Economics.
  12. Luca Gambetti, 2014. "Noisy News in Business Cycles," 2014 Meeting Papers 1406, Society for Economic Dynamics.
  13. Barnichon, Regis, 2010. "Productivity and unemployment over the business cycle," Journal of Monetary Economics, Elsevier, vol. 57(8), pages 1013-1025, November.
  14. Eric M. Leeper & Todd B. Walker & Shu-Chun Susan Yang, 2008. "Fiscal Foresight: Analytics and Econometrics," NBER Working Papers 14028, National Bureau of Economic Research, Inc.
  15. Seung C. Ahn & Alex R. Horenstein, 2013. "Eigenvalue Ratio Test for the Number of Factors," Econometrica, Econometric Society, vol. 81(3), pages 1203-1227, 05.
  16. repec:oup:qjecon:v:126:y:2011:i:1:p:1-50 is not listed on IDEAS
  17. Harvey, David I & Leybourne, Stephen J & Newbold, Paul, 1998. "Tests for Forecast Encompassing," Journal of Business & Economic Statistics, American Statistical Association, vol. 16(2), pages 254-59, April.
  18. Robert B. Barsky & Eric R. Sims, 2012. "Information, Animal Spirits, and the Meaning of Innovations in Consumer Confidence," American Economic Review, American Economic Association, vol. 102(4), pages 1343-77, June.
  19. Paul Beaudry & Franck Portier, 2004. "Stock Prices, News and Economic Fluctuations," NBER Chapters, in: Enhancing Productivity (NBER-CEPR-TCER-Keio conference) National Bureau of Economic Research, Inc.
  20. Ben S. Bernanke & Jean Boivin & Piotr Eliasz, 2005. "Measuring the Effects of Monetary Policy: A Factor-Augmented Vector Autoregressive (FAVAR) Approach," The Quarterly Journal of Economics, Oxford University Press, vol. 120(1), pages 387-422.
  21. Eric Leeper & Todd Walker, 2011. "Information Flows and News Driven Business Cycles," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 14(1), pages 55-71, January.
  22. Schmitt-Grohé, Stephanie & Uribe, Martín, 2012. "What's News in Business Cycles," CEPR Discussion Papers 8984, C.E.P.R. Discussion Papers.
  23. Sims, Christopher A, 1980. "Macroeconomics and Reality," Econometrica, Econometric Society, vol. 48(1), pages 1-48, January.
  24. Eric M. Leeper & Todd B. Walker & Shu-Chun Susan Yang, 2009. "Fiscal Foresight and Information Flows," NBER Working Papers 14630, National Bureau of Economic Research, Inc.
  25. Chari, V.V. & Kehoe, Patrick J. & McGrattan, Ellen R., 2008. "Are structural VARs with long-run restrictions useful in developing business cycle theory?," Journal of Monetary Economics, Elsevier, vol. 55(8), pages 1337-1352, November.
  26. Mario Forni & Luca Gambetti & Marco Lippi & Luca Sala, 2014. "Noise Bubbles," Center for Economic Research (RECent) 096, University of Modena and Reggio E., Dept. of Economics "Marco Biagi".
  27. Luca Gambetti, 2010. "Fiscal Policy, Foresight and the Trade Balance in the U.S," UFAE and IAE Working Papers 852.10, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
  28. Gelper, Sarah & Croux, Christophe, 2007. "Multivariate out-of-sample tests for Granger causality," Computational Statistics & Data Analysis, Elsevier, vol. 51(7), pages 3319-3329, April.
  29. Alexei Onatski, 2010. "Determining the Number of Factors from Empirical Distribution of Eigenvalues," The Review of Economics and Statistics, MIT Press, vol. 92(4), pages 1004-1016, November.
  30. Barsky, Robert B. & Sims, Eric R., 2011. "News shocks and business cycles," Journal of Monetary Economics, Elsevier, vol. 58(3), pages 273-289.
  31. Valerie A. Ramey, 2009. "Identifying Government Spending Shocks: It's All in the Timing," NBER Working Papers 15464, National Bureau of Economic Research, Inc.
  32. Mertens, Karel & Ravn, Morten O, 2009. "Measuring the Impact of Fiscal Policy in the Face of Anticipation: A Structural VAR Approach," CEPR Discussion Papers 7423, C.E.P.R. Discussion Papers.
  33. Stephanie Schmitt‐Grohé & Martín Uribe, 2012. "What's News in Business Cycles," Econometrica, Econometric Society, vol. 80(6), pages 2733-2764, November.
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