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Most likely you go your way (and I'll go mine): non-convergent incomes with a new DF-Fourier test

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  • Silva Lopes, Artur C.

Abstract

Motivated by the purpose to assess the income convergence hypothesis, a simple new Fourier-type unit root test of the Dickey-Fuller family is introduced and analysed. In spite of a few shortcomings that it shares with rival tests, the proposed test generally improves upon them in terms of power performance in small samples. The empirical results that it produces for a recent and updated sample of data for 25 countries clearly contrast with previous evidence produced by the Fourier approach and, more generally, they also contradict a recent wave of optimism concerning income convergence, as they are mostly unfavourable to it.

Suggested Citation

  • Silva Lopes, Artur C., 2021. "Most likely you go your way (and I'll go mine): non-convergent incomes with a new DF-Fourier test," MPRA Paper 107676, University Library of Munich, Germany, revised 19 Mar 2021.
    • Handle: RePEc:pra:mprapa:107676
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    References listed on IDEAS

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    1. Paul Johnson & Chris Papageorgiou, 2020. "What Remains of Cross-Country Convergence?," Journal of Economic Literature, American Economic Association, vol. 58(1), pages 129-175, March.
    2. Elliott, Graham & Rothenberg, Thomas J & Stock, James H, 1996. "Efficient Tests for an Autoregressive Unit Root," Econometrica, Econometric Society, vol. 64(4), pages 813-836, July.
    3. Hashem Pesaran, M., 2007. "A pair-wise approach to testing for output and growth convergence," Journal of Econometrics, Elsevier, vol. 138(1), pages 312-355, May.
    4. Harvey, David I. & Leybourne, Stephen J. & Taylor, A.M. Robert, 2009. "Unit Root Testing In Practice: Dealing With Uncertainty Over The Trend And Initial Condition," Econometric Theory, Cambridge University Press, vol. 25(3), pages 587-636, June.
    5. 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.
    6. Silva Lopes, Artur, 2016. "A simple proposal to improve the power of income convergence tests," Economics Letters, Elsevier, vol. 138(C), pages 92-95.
    7. repec:bla:obuest:v:63:y:2001:i:5:p:535-58 is not listed on IDEAS
    8. 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.
    9. Paulo M. M. Rodrigues & A. M. Robert Taylor, 2012. "The Flexible Fourier Form and Local Generalised Least Squares De-trended Unit Root Tests-super-," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 74(5), pages 736-759, October.
    10. Walter Enders & Junsoo Lee, 2012. "A Unit Root Test Using a Fourier Series to Approximate Smooth Breaks," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 74(4), pages 574-599, August.
    11. Leybourne, Stephen J. & C. Mills, Terence & Newbold, Paul, 1998. "Spurious rejections by Dickey-Fuller tests in the presence of a break under the null," Journal of Econometrics, Elsevier, vol. 87(1), pages 191-203, August.
    12. Joon Y. Park & Mototsugu Shintani, 2016. "Testing For A Unit Root Against Transitional Autoregressive Models," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 57, pages 635-664, May.
    13. Li, Qing & Papell, David, 1999. "Convergence of international output Time series evidence for 16 OECD countries," International Review of Economics & Finance, Elsevier, vol. 8(3), pages 267-280, September.
    14. Enders, Walter & Lee, Junsoo, 2012. "The flexible Fourier form and Dickey–Fuller type unit root tests," Economics Letters, Elsevier, vol. 117(1), pages 196-199.
    15. Ralf Becker & Walter Enders & Junsoo Lee, 2006. "A Stationarity Test in the Presence of an Unknown Number of Smooth Breaks," Journal of Time Series Analysis, Wiley Blackwell, vol. 27(3), pages 381-409, May.
    16. Christopoulos Dimitris K & Leon-Ledesma Miguel A., 2011. "International Output Convergence, Breaks, and Asymmetric Adjustment," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 15(3), pages 1-33, May.
    17. Markku Lanne & Helmut Lütkepohl & Pentti Saikkonen, 2003. "Test Procedures for Unit Roots in Time Series with Level Shifts at Unknown Time," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 65(1), pages 91-115, February.
    18. Junsoo Lee & Walter Enders, 2004. "Testing for a unit-root with a nonlinear Fourier function," Econometric Society 2004 Far Eastern Meetings 457, Econometric Society.
    19. 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.
    20. Bernard, Andrew B. & Durlauf, Steven N., 1996. "Interpreting tests of the convergence hypothesis," Journal of Econometrics, Elsevier, vol. 71(1-2), pages 161-173.
    21. Inklaar, Robert & de Jong, Harmen & Bolt, Jutta & van Zanden, Jan, 2018. "Rebasing 'Maddison': new income comparisons and the shape of long-run economic development," GGDC Research Memorandum GD-174, Groningen Growth and Development Centre, University of Groningen.
    22. Chong, Terence Tai-Leung & Hinich, Melvin J. & Liew, Venus Khim-Sen & Lim, Kian-Ping, 2008. "Time series test of nonlinear convergence and transitional dynamics," Economics Letters, Elsevier, vol. 100(3), pages 337-339, September.
    23. Junsoo Lee & Mark C. Strazicich, 2001. "Break Point Estimation and Spurious Rejections With Endogenous Unit Root Tests," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 63(5), pages 535-558, December.
    24. Bart Hobijn & Philip Hans Franses, 2000. "Asymptotically perfect and relative convergence of productivity," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 15(1), pages 59-81.
    25. Philippe Aghion & Steven Durlauf (ed.), 2005. "Handbook of Economic Growth," Handbook of Economic Growth, Elsevier, edition 1, volume 1, number 1.
    26. Greasley, David & Oxley, Les, 1997. "Time-series based tests of the convergence hypothesis: Some positive results," Economics Letters, Elsevier, vol. 56(2), pages 143-147, October.
    27. Omay, Tolga, 2015. "Fractional Frequency Flexible Fourier Form to approximate smooth breaks in unit root testing," Economics Letters, Elsevier, vol. 134(C), pages 123-126.
    28. Su, Jen-Je & Nguyen, Jeremy K., 2013. "Alternative unit root testing strategies using the Fourier approximation," Economics Letters, Elsevier, vol. 121(1), pages 8-11.
    29. Ceylan, Reşat & Abiyev, Vasif, 2016. "An examination of convergence hypothesis for EU-15 countries," International Review of Economics & Finance, Elsevier, vol. 45(C), pages 96-105.
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    More about this item

    Keywords

    income convergence; unit root tests; structural breaks;
    All these keywords.

    JEL classification:

    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes
    • F43 - International Economics - - Macroeconomic Aspects of International Trade and Finance - - - Economic Growth of Open Economies
    • O47 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - Empirical Studies of Economic Growth; Aggregate Productivity; Cross-Country Output Convergence

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