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Restricted Structural Change And The Unit Root Hypothesis




"In a classic paper, Nelson and Plosser could not reject the unit root hypothesis in favor of trend stationarity for 13 out of 14 long-term annual macro series. Subsequent studies, allowing for one or two structural changes, have found more rejections with a broken trend stationary alternative. Since these changes are defined to be permanent, the rejections do not provide evidence of trend stationarity. We propose new tests for a unit root in the presence of restricted structural change. Allowing for two offsetting structural changes, we reject the unit root null in favor of restricted trend stationarity for 6 out of 13 series. "("JEL "C22, E32) Copyright 2007 Western Economic Association International.

Suggested Citation

  • David H Papell & Ruxandra Prodan, 2007. "Restricted Structural Change And The Unit Root Hypothesis," Economic Inquiry, Western Economic Association International, vol. 45(4), pages 834-853, October.
  • Handle: RePEc:bla:ecinqu:v:45:y:2007:i:4:p:834-853

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    References listed on IDEAS

    1. Engel, Charles, 2000. "Long-run PPP may not hold after all," Journal of International Economics, Elsevier, vol. 51(2), pages 243-273, August.
    2. Kilian, Lutz & Ohanian, Lee E., 2002. "Unit Roots, Trend Breaks, And Transitory Dynamics: A Macroeconomic Perspective," Macroeconomic Dynamics, Cambridge University Press, vol. 6(05), pages 614-632, November.
    3. Kim, Chang-Jin & Nelson, Charles R, 1999. "Friedman's Plucking Model of Business Fluctuations: Tests and Estimates of Permanent and Transitory Components," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 31(3), pages 317-334, August.
    4. Beaudry, Paul & Koop, Gary, 1993. "Do recessions permanently change output?," Journal of Monetary Economics, Elsevier, vol. 31(2), pages 149-163, April.
    5. Barro, Robert J, 1981. "Output Effects of Government Purchases," Journal of Political Economy, University of Chicago Press, vol. 89(6), pages 1086-1121, December.
    6. Zivot, Eric & Andrews, Donald W K, 2002. "Further Evidence on the Great Crash, the Oil-Price Shock, and the Unit-Root Hypothesis," Journal of Business & Economic Statistics, American Statistical Association, vol. 20(1), pages 25-44, January.
    7. Cochrane, John H, 1988. "How Big Is the Random Walk in GNP?," Journal of Political Economy, University of Chicago Press, vol. 96(5), pages 893-920, October.
    8. John Y. Campbell & N. Gregory Mankiw, 1987. "Are Output Fluctuations Transitory?," The Quarterly Journal of Economics, Oxford University Press, vol. 102(4), pages 857-880.
    9. Perron, Pierre, 1989. "The Great Crash, the Oil Price Shock, and the Unit Root Hypothesis," Econometrica, Econometric Society, vol. 57(6), pages 1361-1401, November.
    10. Perron, Pierre & Rodriguez, Gabriel, 2003. "GLS detrending, efficient unit root tests and structural change," Journal of Econometrics, Elsevier, vol. 115(1), pages 1-27, July.
    11. Rudebusch, Glenn D, 1993. "The Uncertain Unit Root in Real GNP," American Economic Review, American Economic Association, vol. 83(1), pages 264-272, March.
    12. Banerjee, Anindya & Lumsdaine, Robin L & Stock, James H, 1992. "Recursive and Sequential Tests of the Unit-Root and Trend-Break Hypotheses: Theory and International Evidence," Journal of Business & Economic Statistics, American Statistical Association, vol. 10(3), pages 271-287, July.
    13. Papell, David H. & Prodan, Ruxandra, 2006. "Additional Evidence of Long-Run Purchasing Power Parity with Restricted Structural Change," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 38(5), pages 1329-1349, August.
    14. Rudebusch, Glenn D, 1992. "Trends and Random Walks in Macroeconomic Time Series: A Re-examination," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 33(3), pages 661-680, August.
    15. Cochrane, John H., 1991. "A critique of the application of unit root tests," Journal of Economic Dynamics and Control, Elsevier, vol. 15(2), pages 275-284, April.
    16. Milton Friedman & Anna J. Schwartz, 1963. "A Monetary History of the United States, 1867–1960," NBER Books, National Bureau of Economic Research, Inc, number frie63-1, January.
    17. Christiano, Lawrence J, 1992. "Searching for a Break in GNP," Journal of Business & Economic Statistics, American Statistical Association, vol. 10(3), pages 237-250, July.
    18. Papell, David H & Prodan, Ruxandra, 2004. "The Uncertain Unit Root in U.S. Real GDP: Evidence with Restricted and Unrestricted Structural Change," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 36(3), pages 423-427, June.
    19. Paul A. Samuelson, 1973. "Proof That Properly Discounted Present Values of Assets Vibrate Randomly," Bell Journal of Economics, The RAND Corporation, vol. 4(2), pages 369-374, Autumn.
    20. Gould, John P & Nelson, Charles R, 1974. "The Stochastic Structure of the Velocity of Money," American Economic Review, American Economic Association, vol. 64(3), pages 405-418, June.
    21. Blanchard, Olivier J, 1981. "What Is Left of the Multiplier Accelerator?," American Economic Review, American Economic Association, vol. 71(2), pages 150-154, May.
    22. Murray, Christian J & Nelson, Charles R, 2002. "The Great Depression and Output Persistence," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 34(4), pages 1090-1098, November.
    23. Kim, Chang-Jin, 1994. "Dynamic linear models with Markov-switching," Journal of Econometrics, Elsevier, vol. 60(1-2), pages 1-22.
    24. Murray, Christian J & Nelson, Charles R, 2004. "The Great Depression and Output Persistence: A Reply to Papell and Prodan," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 36(3), pages 429-432, June.
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    Cited by:

    1. Jean-François Goux, 2010. "Une approche déterministe du taux de change euro-dollar," Économie et Prévision, Programme National Persée, vol. 195(4), pages 35-51.
    2. Bas Straathof & Gert Jan Linders & Arjan Lejour & Jan Möhlmann, 2008. "The internal market and the Dutch economy: implications for trade and economic growth," CPB Document 168, CPB Netherlands Bureau for Economic Policy Analysis.
    3. Claude Lopez & Christian J. Murray & David H. Papell, 2013. "Median-unbiased estimation in DF-GLS regressions and the PPP puzzle," Applied Economics, Taylor & Francis Journals, vol. 45(4), pages 455-464, February.
    4. Atiq-ur-Rehman, 2011. "Impact of Model Specification Decisions on Unit Root Tests," International Econometric Review (IER), Econometric Research Association, vol. 3(2), pages 22-33, September.
    5. Sebastian Fossati, 2013. "Unit root testing with stationary covariates and a structural break in the trend function," Journal of Time Series Analysis, Wiley Blackwell, vol. 34(3), pages 368-384, May.
    6. Lyócsa, Štefan & Výrost, Tomáš & Baumöhl, Eduard, 2011. "Unit-root and stationarity testing with empirical application on industrial production of CEE-4 countries," MPRA Paper 29648, University Library of Munich, Germany.
    7. Apergis, Nicholas & Bowden, Nicholas & Payne, James E., 2015. "Downstream integration of natural gas prices across U.S. states: Evidence from deregulation regime shifts," Energy Economics, Elsevier, vol. 49(C), pages 82-92.
    8. Nuno Sobreira & Luis C. Nunes & Paulo M. M. Rodrigues, 2014. "Characterizing Economic Growth Paths Based On New Structural Change Tests," Economic Inquiry, Western Economic Association International, vol. 52(2), pages 845-861, April.
    9. Jean-François Goux, 2008. "Ruptures épaisses et stationnarité en tendance : le cas du taux de change euro-dollar," Post-Print halshs-00333576, HAL.
    10. Huang, Yu-Lieh & Huang, Chao-His, 2015. "Uncertain Effects Of Shocks Vs. Uncertain Unit Root: An Alternative View Of U.S. Real Gdp," Hitotsubashi Journal of Economics, Hitotsubashi University, vol. 56(1), pages 117-134, June.
    11. Sobreira, Nuno & Nunesz, Luis C. & Rodriguesz, Paulo M. M., 2012. "Neoclassical, semi-endogenous or endogenous growth theory? Evidence based on new structural change tests," Insper Working Papers wpe_291, Insper Working Paper, Insper Instituto de Ensino e Pesquisa.
    12. Olivier Darné & Amélie Charles, 2011. "Large shocks in U.S. macroeconomic time series: 1860-1988," Cliometrica, Journal of Historical Economics and Econometric History, Association Française de Cliométrie (AFC), vol. 5(1), pages 79-100, January.
    13. Charles, Amélie & Darné, Olivier, 2012. "Trends and random walks in macroeconomic time series: A reappraisal," Journal of Macroeconomics, Elsevier, vol. 34(1), pages 167-180.
    14. Papell, David H. & Prodan, Ruxandra, 2014. "Long run time series tests of constant steady-state growth," Economic Modelling, Elsevier, vol. 42(C), pages 464-474.
    15. repec:jfr:rwe111:v:8:y:2017:i:2:p:12-24 is not listed on IDEAS
    16. Qishui Chi, 2014. "The Impact of Money Supply on the Price: Evidence from China," Research in World Economy, Research in World Economy, Sciedu Press, vol. 5(1), pages 75-87, March.
    17. repec:hit:hitjcm:v:56:y:2015:i:1:p:117-134 is not listed on IDEAS

    More about this item

    JEL classification:

    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes
    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles


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