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Non-linearities and Unit Roots in G7 Macroeconomic Variables

  • Yunus Aksoy

    (Department of Economics, Mathematics & Statistics, Birkbeck)

  • Miguel A. Leon-Ledesma

We carry out a meta-analysis on the frequency of unit-roots in macroeconomic time series with a dataset covering 249 variables for the G7 countries. We use linear tests and the three popular non-linear tests (TAR, ESTAR and Markov Switching). In general, the evidence in favour of the random walk hypothesis is weaker than in previous studies. This evidence against unit roots is stronger for real and nominal asset prices. Our results show that rejection of the null of a unit root in the macro dataset is substantially higher for non-linear than linear models. Finally, the results from a Monte Carlo experiment show that rejection frequencies are very close to the nominal size of the test when the DGP is a linear unit root process. This leads us to reject the hypothesis that overfitting deterministic components explains the higher rejection frequencies of nonlinear tests.

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Paper provided by Birkbeck, Department of Economics, Mathematics & Statistics in its series Birkbeck Working Papers in Economics and Finance with number 0710.

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Date of creation: Jan 2007
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Handle: RePEc:bbk:bbkefp:0710
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  1. James H. Stock & Mark W. Watson, 1994. "Evidence on structural instability in macroeconomic times series relations," Working Paper Series, Macroeconomic Issues 94-13, Federal Reserve Bank of Chicago.
  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. Balke, Nathan S. & Fomby, Thomas B., 1992. "Threshold cointegration," Working Papers 9209, Federal Reserve Bank of Dallas.
    • Balke, Nathan S & Fomby, Thomas B, 1997. "Threshold Cointegration," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 38(3), pages 627-45, August.
  4. Michael, Panos & Nobay, A Robert & Peel, David A, 1997. "Transactions Costs and Nonlinear Adjustment in Real Exchange Rates: An Empirical Investigation," Journal of Political Economy, University of Chicago Press, vol. 105(4), pages 862-79, August.
  5. Granger, C. W. J. & Newbold, P., 1974. "Spurious regressions in econometrics," Journal of Econometrics, Elsevier, vol. 2(2), pages 111-120, July.
  6. Serena Ng & Pierre Perron, 2001. "LAG Length Selection and the Construction of Unit Root Tests with Good Size and Power," Econometrica, Econometric Society, vol. 69(6), pages 1519-1554, November.
  7. Rehim Kilic, 2004. "Linearity tests and stationarity," Econometrics Journal, Royal Economic Society, vol. 7(1), pages 55-62, 06.
  8. Georgios Chortareas & George Kapetanios, 2004. "The Yen Real Exchange Rate may be Stationary after all: Evidence from Non-linear Unit-root Tests," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 66(1), pages 113-131, 02.
  9. McAdam, Peter & León-Ledesma, Miguel A., 2003. "Unemployment, hysteresis and transition," Working Paper Series 0234, European Central Bank.
  10. Hall, Stephen G & Psaradakis, Zacharias & Sola, Martin, 1999. "Detecting Periodically Collapsing Bubbles: A Markov-Switching Unit Root Test," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 14(2), pages 143-54, March-Apr.
  11. Nelson, Charles R & Piger, Jeremy & Zivot, Eric, 2001. "Markov Regime Switching and Unit-Root Tests," Journal of Business & Economic Statistics, American Statistical Association, vol. 19(4), pages 404-15, October.
  12. Philip Arestis & Andrea Cipollini & Bassam Fattouh, 2002. "Threshold Effects in the U.S. Budget Deficit," Economics Working Paper Archive wp_358, Levy Economics Institute.
  13. Psaradakis, Zacharias, 2002. "On the asymptotic behaviour of unit-root tests in the presence of a Markov trend," Statistics & Probability Letters, Elsevier, vol. 57(1), pages 101-109, March.
  14. Lundbergh, Stefan & Terasvirta, Timo & van Dijk, Dick, 2003. "Time-Varying Smooth Transition Autoregressive Models," Journal of Business & Economic Statistics, American Statistical Association, vol. 21(1), pages 104-21, January.
  15. Andrews, Donald W K & Ploberger, Werner, 1994. "Optimal Tests When a Nuisance Parameter Is Present Only under the Alternative," Econometrica, Econometric Society, vol. 62(6), pages 1383-1414, November.
  16. Nelson, Charles R. & Plosser, Charles I., 1982. "Trends and random walks in macroeconmic time series : Some evidence and implications," Journal of Monetary Economics, Elsevier, vol. 10(2), pages 139-162.
  17. Georgios Chortareas & George Kapetanios & Merih Uctum, 2003. "An Investigation of Current Account Solvency in Latin America Using Non Linear Stationarity Tests," Working Papers 485, Queen Mary University of London, School of Economics and Finance.
  18. Neftci, Salih N, 1984. "Are Economic Time Series Asymmetric over the Business Cycle?," Journal of Political Economy, University of Chicago Press, vol. 92(2), pages 307-28, April.
  19. Vogelsang, Timothy J & Perron, Pierre, 1998. "Additional Tests for a Unit Root Allowing for a Break in the Trend Function at an Unknown Time," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 39(4), pages 1073-1100, November.
  20. Francis X. Diebold & Lutz Kilian, 1999. "Unit Root Tests are Useful for Selecting Forecasting Models," New York University, Leonard N. Stern School Finance Department Working Paper Seires 99-063, New York University, Leonard N. Stern School of Business-.
  21. Mark W. Watson & James H. Stock, 2004. "Combination forecasts of output growth in a seven-country data set," Journal of Forecasting, John Wiley & Sons, Ltd., vol. 23(6), pages 405-430.
  22. Hasan, Mohammad S., 2004. "Univariate time series behaviour of the real exchange rate: evidence from colonial India," Economics Letters, Elsevier, vol. 84(1), pages 75-80, July.
  23. Graham Elliott & Thomas J. Rothenberg & James H. Stock, 1992. "Efficient Tests for an Autoregressive Unit Root," NBER Technical Working Papers 0130, National Bureau of Economic Research, Inc.
  24. repec:cup:macdyn:v:6:y:2002:i:5:p:614-32 is not listed on IDEAS
  25. Kuo, Shew-Huei & Enders, Walter, 2004. "The term structure of Japanese interest rates:: The equilibrium spread with asymmetric dynamics," Journal of the Japanese and International Economies, Elsevier, vol. 18(1), pages 84-98, March.
  26. Chortareas Georgios E & Kapetanios George & Uctum Merih, 2004. "An Investigation of Current Account Solvency in Latin America Using Non Linear Nonstationarity Tests," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 8(1), pages 1-19, March.
  27. Kapetanios, George & Shin, Yongcheol & Snell, Andy, 2003. "Testing for a unit root in the nonlinear STAR framework," Journal of Econometrics, Elsevier, vol. 112(2), pages 359-379, February.
  28. Pedro Gouveia & Paulo Rodrigues, 2004. "Threshold Cointegration and the PPP Hypothesis," Journal of Applied Statistics, Taylor & Francis Journals, vol. 31(1), pages 115-127.
  29. Dirk Te Velde, 2001. "Balance of payments prospects in EMU," NIESR Discussion Papers 178, National Institute of Economic and Social Research.
  30. Zacharias Psaradakis, 2001. "Markov level shifts and the unit-root hypothesis," Econometrics Journal, Royal Economic Society, vol. 4(2), pages 4.
  31. Henry, Olan T. & Shields, Kalvinder, 2004. "Is there a unit root in inflation?," Journal of Macroeconomics, Elsevier, vol. 26(3), pages 481-500, September.
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