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Simultaneous Confidence Regions for Impulse Responses


  • Òscar Jordà

    (Department of Economics, University of California, Davis)


Inference about an impulse response is a multiple testing problem with serially correlated coefficient estimates. This paper provides a method to construct simultaneous confidence regions for impulse responses and conditional bands to examine significance levels of individual impulse response coefficients given propagation trajectories. The paper also shows how to constrain a subset of impulse response paths to anchor structural identification and how to formally test the validity of such identifying constraints. Simulation and empirical evidence illustrate the new techniques. A broad summary of asymptotic analytic formulas is provided to make the methods easy to implement with commonly available statistical software. Copyright by the President and Fellows of Harvard College and the Massachusetts Institute of Technology.

Suggested Citation

  • Òscar Jordà, 2009. "Simultaneous Confidence Regions for Impulse Responses," The Review of Economics and Statistics, MIT Press, vol. 91(3), pages 629-647, August.
  • Handle: RePEc:tpr:restat:v:91:y:2009:i:3:p:629-647

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    References listed on IDEAS

    1. Frankel, Jeffrey A & Rose, Andrew K, 1998. "The Endogeneity of the Optimum Currency Area Criteria," Economic Journal, Royal Economic Society, vol. 108(449), pages 1009-1025, July.
    2. Tom Krebs & Pravin Krishna & William Maloney, 2010. "Trade Policy, Income Risk, and Welfare," The Review of Economics and Statistics, MIT Press, vol. 92(3), pages 467-481, August.
    3. Raddatz, Claudio, 2006. "Liquidity needs and vulnerability to financial underdevelopment," Journal of Financial Economics, Elsevier, vol. 80(3), pages 677-722, June.
    4. Aart Kraay & Jaume Ventura, 2007. "Comparative Advantage and the Cross-section of Business Cycles," Journal of the European Economic Association, MIT Press, vol. 5(6), pages 1300-1333, December.
    5. Diego A. Comin & Thomas Philippon, 2006. "The Rise in Firm-Level Volatility: Causes and Consequences," NBER Chapters,in: NBER Macroeconomics Annual 2005, Volume 20, pages 167-228 National Bureau of Economic Research, Inc.
    6. James E. Anderson & Eric van Wincoop, 2003. "Gravity with Gravitas: A Solution to the Border Puzzle," American Economic Review, American Economic Association, vol. 93(1), pages 170-192, March.
    7. Baxter, Marianne & Kouparitsas, Michael A., 2005. "Determinants of business cycle comovement: a robust analysis," Journal of Monetary Economics, Elsevier, vol. 52(1), pages 113-157, January.
    8. Stephen G Cecchetti & Alfonso Flores-Lagunes & Stefan Krause, 2005. "Assessing the Sources of Changes in the Volatility of Real Growth," RBA Annual Conference Volume,in: Christopher Kent & David Norman (ed.), The Changing Nature of the Business Cycle Reserve Bank of Australia.
    9. Ramey, Garey & Ramey, Valerie A, 1995. "Cross-Country Evidence on the Link between Volatility and Growth," American Economic Review, American Economic Association, vol. 85(5), pages 1138-1151, December.
    10. repec:idb:idbbks:378 is not listed on IDEAS
    11. Marianne Baxter & Michael A. Kouparitsas, 2003. "Trade Structure, Industrial Structure, and International Business Cycles," American Economic Review, American Economic Association, vol. 93(2), pages 51-56, May.
    12. Julian di Giovanni & Andrei A. Levchenko, 2012. "The Risk Content of Exports: A Portfolio View of International Trade," NBER International Seminar on Macroeconomics, University of Chicago Press, vol. 8(1), pages 97-151.
    13. James H. Stock & Mark W. Watson, 2003. "Has the Business Cycle Changed and Why?," NBER Chapters,in: NBER Macroeconomics Annual 2002, Volume 17, pages 159-230 National Bureau of Economic Research, Inc.
    14. Bekaert, Geert & Harvey, Campbell R. & Lundblad, Christian, 2006. "Growth volatility and financial liberalization," Journal of International Money and Finance, Elsevier, vol. 25(3), pages 370-403, April.
    15. Do, Quy-Toan & Levchenko, Andrei A., 2007. "Comparative advantage, demand for external finance, and financial development," Journal of Financial Economics, Elsevier, vol. 86(3), pages 796-834, December.
    16. Bejan, Maria, 2006. "Trade Openness and Output Volatility," MPRA Paper 2759, University Library of Munich, Germany.
    17. Stephane Pallage & Michel A. Robe, 2003. "On the Welfare Cost of Economic Fluctuations in Developing Countries," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 44(2), pages 677-698, May.
    18. Gadi Barlevy, 2004. "The Cost of Business Cycles Under Endogenous Growth," American Economic Review, American Economic Association, vol. 94(4), pages 964-990, September.
    19. Linda Tesar & Ariel Burstein & Chris Kurz, 2004. "International Trade, Production Sharing, and the Transmission of Business Cycles," 2004 Meeting Papers 143, Society for Economic Dynamics.
    20. Sebnem Kalemli-Ozcan & Bent E. Sørensen & Oved Yosha, 2003. "Risk Sharing and Industrial Specialization: Regional and International Evidence," American Economic Review, American Economic Association, vol. 93(3), pages 903-918, June.
    21. Kose, M. Ayhan, 2002. "Explaining business cycles in small open economies: 'How much do world prices matter?'," Journal of International Economics, Elsevier, vol. 56(2), pages 299-327, March.
    22. Xavier Gabaix, 2011. "The Granular Origins of Aggregate Fluctuations," Econometrica, Econometric Society, vol. 79(3), pages 733-772, May.
    23. Long, John B, Jr & Plosser, Charles I, 1983. "Real Business Cycles," Journal of Political Economy, University of Chicago Press, vol. 91(1), pages 39-69, February.
    24. Huiwen Lai & Daniel Trefler, 2002. "The Gains from Trade with Monopolistic Competition: Specification, Estimation, and Mis-Specification," NBER Working Papers 9169, National Bureau of Economic Research, Inc.
    25. Imbs, Jean, 2007. "Growth and volatility," Journal of Monetary Economics, Elsevier, vol. 54(7), pages 1848-1862, October.
    26. Backus, David K & Kehoe, Patrick J & Kydland, Finn E, 1992. "International Real Business Cycles," Journal of Political Economy, University of Chicago Press, vol. 100(4), pages 745-775, August.
    27. Robert C. Feenstra & James R. Markusen & Andrew K. Rose, 2001. "Using the gravity equation to differentiate among alternative theories of trade," Canadian Journal of Economics, Canadian Economics Association, vol. 34(2), pages 430-447, May.
    28. Robert C. Feenstra & Robert E. Lipsey & Haiyan Deng & Alyson C. Ma & Hengyong Mo, 2005. "World Trade Flows: 1962-2000," NBER Working Papers 11040, National Bureau of Economic Research, Inc.
    29. Rauch, James E., 1999. "Networks versus markets in international trade," Journal of International Economics, Elsevier, vol. 48(1), pages 7-35, June.
    30. Liliana Rojas-Suárez & Nancy Birdsall & Moisés Naím & Eduardo Lora & Estelle James & Enrique V. Iglesias & Michael Gavin & Richard H. Sabot & Nora Lustig & Juan Luis Londoño & René Cortázar & Carol Gr, 1998. "Beyond Tradeoffs: Market Reform and Equitable Growth in Latin America," IDB Publications (Books), Inter-American Development Bank, number 66098 edited by Nancy Birdsall & Richard H. Sabot & Carol Graham, February.
    31. David M. G. Newbery & Joseph E. Stiglitz, 1984. "Pareto Inferior Trade," Review of Economic Studies, Oxford University Press, vol. 51(1), pages 1-12.
    32. Marco Terrones & Eswar S Prasad & Ayhan Kose, 2003. "Financial Integration and Macroeconomic Volatility," IMF Working Papers 03/50, International Monetary Fund.
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    Cited by:

    1. Inoue, Atsushi & Kilian, Lutz, 2013. "Inference on impulse response functions in structural VAR models," Journal of Econometrics, Elsevier, vol. 177(1), pages 1-13.
    2. Inoue, Atsushi & Kilian, Lutz, 2016. "Joint confidence sets for structural impulse responses," Journal of Econometrics, Elsevier, vol. 192(2), pages 421-432.
    3. Jordà, Òscar & Schularick, Moritz & Taylor, Alan M., 2011. "When Credit Bites Back: Leverage, Business Cycles, and Crises," CEPR Discussion Papers 8678, C.E.P.R. Discussion Papers.
    4. Stefan Bruder & Michael Wolf, 2017. "Balanced bootstrap joint confidence bands for structural impulse response functions," ECON - Working Papers 246, Department of Economics - University of Zurich, revised Jan 2018.
    5. Ryan R. Brady & Derek Stimel & Steven Sumner, 2012. "A Time Series Test of the Direct Wealth Effect," Departmental Working Papers 40, United States Naval Academy Department of Economics.
    6. Theodoridis, Konstantinos, 2011. "An efficient minimum distance estimator for DSGE models," Bank of England working papers 439, Bank of England.
    7. Òscar Jordà & Massimiliano Marcellino, 2010. "Path forecast evaluation," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 25(4), pages 635-662.
    8. Wojciech Charemza & Svetlana Makarova & Imran Shah, 2015. "Making the most of high inflation," Applied Economics, Taylor & Francis Journals, vol. 47(34-35), pages 3723-3739, July.
    9. Ryan Brady, 2013. "The Spatial Diffusion of Regional Housing Prices across U.S. States," Departmental Working Papers 45, United States Naval Academy Department of Economics.
    10. Staszewska-Bystrova Anna, 2013. "Modified Scheffé’s Prediction Bands," Journal of Economics and Statistics (Jahrbuecher fuer Nationaloekonomie und Statistik), De Gruyter, vol. 233(5-6), pages 680-690, October.
    11. Wu, Jyh-Lin & Lee, Chingnun & Wang, Tzu-Wei, 2011. "A re-examination on dissecting the purchasing power parity puzzle," Journal of International Money and Finance, Elsevier, vol. 30(3), pages 572-586, April.

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