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Structural Vector Autoregressions

  • Kilian, Lutz

Structural vector autoregressive (VAR) models were introduced in 1980 as an alternative to traditional large-scale macroeconometric models when the theoretical and empirical support for these models became increasingly doubtful. Initial applications of the structural VAR methodology often were atheoretical in that users paid insufficient attention to the conditions required for identifying causal effects in the data. In response to ongoing questions about the validity of widely used identifying assumptions the structural VAR literature has continuously evolved since the 1980s. This survey traces the evolution of this literature. It focuses on alternative approaches to the identification of structural shocks within the framework of a reduced-form VAR model, highlighting the conditions under which each approach is valid and discussing potential limitations of commonly employed methods.

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Paper provided by C.E.P.R. Discussion Papers in its series CEPR Discussion Papers with number 8515.

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Date of creation: Aug 2011
Date of revision:
Handle: RePEc:cpr:ceprdp:8515
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  1. Mario Forni & Domenico Giannone & Marco Lippi & Lucrezia Reichlin, 2007. "Opening the Black Box: Structural Factor Models with Large Cross-Sections," Center for Economic Research (RECent) 008, University of Modena and Reggio E., Dept. of Economics "Marco Biagi".
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  5. D’Amico, Stefania & Farka, Mira, 2011. "The Fed and the Stock Market: An Identification Based on Intraday Futures Data," Journal of Business & Economic Statistics, American Statistical Association, vol. 29(1), pages 126-137.
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  7. Hanson, Michael S., 2004. "The "price puzzle" reconsidered," Journal of Monetary Economics, Elsevier, vol. 51(7), pages 1385-1413, October.
  8. Kilian, Lutz & Vigfusson, Robert J., 2011. "Nonlinearities in the Oil Price-Output Relationship," CEPR Discussion Papers 8174, C.E.P.R. Discussion Papers.
  9. Giannone, Domenico & Reichlin, Lucrezia, 2006. "Does Information Help Recovering Structural Shocks from Past Observations?," CEPR Discussion Papers 5725, C.E.P.R. Discussion Papers.
  10. Gospodinov, Nikolay, 2010. "Inference in Nearly Nonstationary SVAR Models With Long-Run Identifying Restrictions," Journal of Business & Economic Statistics, American Statistical Association, vol. 28(1), pages 1-12.
  11. Eric M. Leeper & Christopher A. Sims & Tao Zha, 1996. "What Does Monetary Policy Do?," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 27(2), pages 1-78.
  12. Rudebusch, Glenn D, 1998. "Do Measures of Monetary Policy in a VAR Make Sense?," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 39(4), pages 907-31, November.
  13. Inoue, Atsushi & Kilian, Lutz & Kiraz, Fatma Burcu, 2006. "Do Actions Speak Louder than Words? Household Expectations of Inflation Based on Micro Consumption Data," CEPR Discussion Papers 5790, C.E.P.R. Discussion Papers.
  14. Jon Faust & Eric T. Swanson & Jonathan H. Wright, 2002. "Identifying vars based on high frequency futures data," International Finance Discussion Papers 720, Board of Governors of the Federal Reserve System (U.S.).
  15. A. R. Pagan & J. C. Robertson, 1998. "Structural Models Of The Liquidity Effect," The Review of Economics and Statistics, MIT Press, vol. 80(2), pages 202-217, May.
  16. Davis, Lucas W & Kilian, Lutz, 2009. "Estimating the Effect of a Gasoline Tax on Carbon Emissions," CEPR Discussion Papers 7161, C.E.P.R. Discussion Papers.
  17. Eric Leeper & Todd Walker & Susan Yang SHu-Chun, 2009. "Fiscal Foresight And Information Flows," Caepr Working Papers 2009-001, Center for Applied Economics and Policy Research, Economics Department, Indiana University Bloomington.
  18. Apostolos Serletis, 2012. "Oil Price Uncertainty," World Scientific Books, World Scientific Publishing Co. Pte. Ltd., number 8407.
  19. Shigeru Fujita, 2011. "Dynamics of worker flows and vacancies: evidence from the sign restriction approach," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 26(1), pages 89-121, January/F.
  20. Lutz Kilian & Clara Vega, 2008. "Do energy prices respond to U.S. macroeconomic news? a test of the hypothesis of predetermined energy prices," International Finance Discussion Papers 957, Board of Governors of the Federal Reserve System (U.S.).
  21. Canova, Fabio & López-Salido, J David & Michelacci, Claudio, 2008. "The Effects of Technology Shocks on Hours and Output: A Robustness Analysis," CEPR Discussion Papers 6720, C.E.P.R. Discussion Papers.
  22. Nikolay Gospodinov & Alex Maynard & Elena Pesavento, 2011. "Sensitivity of Impulse Responses to Small Low-Frequency Comovements: Reconciling the Evidence on the Effects of Technology Shocks," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 29(4), pages 455-467, October.
  23. Lutz Kilian, 2010. "Explaining Fluctuations in Gasoline Prices: A Joint Model of the Global Crude Oil Market and the U.S. Retail Gasoline Market," The Energy Journal, International Association for Energy Economics, vol. 0(Number 2), pages 87-112.
  24. Inoue, Atsushi & Kilian, Lutz, 2013. "Inference on impulse response functions in structural VAR models," Journal of Econometrics, Elsevier, vol. 177(1), pages 1-13.
  25. Fabio Canova & Evi Pappa, 2003. "Price differentials in monetary unions: The role of fiscal shocks," Economics Working Papers 923, Department of Economics and Business, Universitat Pompeu Fabra, revised Jun 2005.
  26. Kilian, Lutz, 2006. "Not All Oil Price Shocks Are Alike: Disentangling Demand and Supply Shocks in the Crude Oil Market," CEPR Discussion Papers 5994, C.E.P.R. Discussion Papers.
  27. Bénédicte Vidaillet & V. D'Estaintot & P. Abécassis, 2005. "Introduction," Post-Print hal-00287137, HAL.
  28. Jon Faust & Eric M. Leeper, 1994. "When do long-run identifying restrictions give reliable results?," International Finance Discussion Papers 462, Board of Governors of the Federal Reserve System (U.S.).
  29. C. Baumeister & G. Peersman & -, 2010. "Sources of the Volatility Puzzle in the Crude Oil Market," Working Papers of Faculty of Economics and Business Administration, Ghent University, Belgium 10/634, Ghent University, Faculty of Economics and Business Administration.
  30. Neville Francis & Michael T. Owyang & Jennifer E. Roush & Riccardo DiCecio, 2010. "A flexible finite-horizon alternative to long-run restrictions with an application to technology shock," Working Papers 2005-024, Federal Reserve Bank of St. Louis.
  31. Atsushi Inoue & Lutz Kilian, 2002. "Bootstrapping Smooth Functions of Slope Parameters and Innovation Variances in VAR (∞) Models," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 43(2), pages 309-332, May.
  32. Daniel F. Waggoner & Tao Zha, 1999. "Conditional Forecasts In Dynamic Multivariate Models," The Review of Economics and Statistics, MIT Press, vol. 81(4), pages 639-651, November.
  33. Lutz Kilian & Daniel P. Murphy, 2012. "Why Agnostic Sign Restrictions Are Not Enough: Understanding The Dynamics Of Oil Market Var Models," Journal of the European Economic Association, European Economic Association, vol. 10(5), pages 1166-1188, October.
  34. Ron Alquist & Lutz Kilian, 2010. "What do we learn from the price of crude oil futures?," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 25(4), pages 539-573.
  35. Lutz Kilian & Logan T. Lewis, 2011. "Does the Fed Respond to Oil Price Shocks?," Economic Journal, Royal Economic Society, vol. 121(555), pages 1047-1072, 09.
  36. Scholl, Almuth & Uhlig, Harald, 2008. "New evidence on the puzzles: Results from agnostic identification on monetary policy and exchange rates," Journal of International Economics, Elsevier, vol. 76(1), pages 1-13, September.
  37. Lanne, Markku & Lütkepohl, Helmut & Maciejowska, Katarzyna, 2010. "Structural vector autoregressions with Markov switching," Journal of Economic Dynamics and Control, Elsevier, vol. 34(2), pages 121-131, February.
  38. Lippi, Marco & Reichlin, Lucrezia, 1994. "VAR analysis, nonfundamental representations, blaschke matrices," Journal of Econometrics, Elsevier, vol. 63(1), pages 307-325, July.
  39. Lutz Kilian & Robert J. Vigfusson, 2011. "Are the responses of the U.S. economy asymmetric in energy price increases and decreases?," Quantitative Economics, Econometric Society, vol. 2(3), pages 419-453, November.
  40. Edelstein, Paul & Kilian, Lutz, 2009. "How sensitive are consumer expenditures to retail energy prices?," Journal of Monetary Economics, Elsevier, vol. 56(6), pages 766-779, September.
  41. David O. Cushman & Tao Zha, 1995. "Identifying monetary policy in a small open economy under flexible exchange rates," FRB Atlanta Working Paper 95-7, Federal Reserve Bank of Atlanta.
  42. Katharine G. Abraham & John C. Haltiwanger, 1995. "Real Wages and the Business Cycle," Journal of Economic Literature, American Economic Association, vol. 33(3), pages 1215-1264, September.
  43. Juan F. Rubio-Ramírez & Daniel F. Waggoner & Tao Zha, 2008. "Structural vector autoregressions: theory of identification and algorithms for inference," FRB Atlanta Working Paper 2008-18, Federal Reserve Bank of Atlanta.
  44. Canova, Fabio & Gambetti, Luca, 2009. "Structural changes in the US economy: Is there a role for monetary policy?," Journal of Economic Dynamics and Control, Elsevier, vol. 33(2), pages 477-490, February.
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