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Trend-Cycle Correlation, Drift Break and the Estimation of Trend and Cycle in Canadian GDP


  • Arabinda Basistha

    (West Virginia University)


This paper argues, using Monte Carlo experiments, that bivariate correlated unobserved components (UC) framework delivers more accurate estimation results for trend and cycle parameters than the univariate framework. The paper estimates stochastic trend and cyclical fluctuations in Canada from a bivariate, correlated UC model with drift breaks. In contrast to the univariate results, bivariate estimation shows a fairly volatile stochastic trend after accounting for the drift break along with a negative trend-cycle shock correlation. The estimated cyclical component is moderately large, persistent and consistent with ECRI denoted Canadian recessions.

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  • Arabinda Basistha, 2005. "Trend-Cycle Correlation, Drift Break and the Estimation of Trend and Cycle in Canadian GDP," Working Papers 05-07 Classification- JEL, Department of Economics, West Virginia University.
  • Handle: RePEc:wvu:wpaper:05-07

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    References listed on IDEAS

    1. Frédérick Demers, 2003. "The Canadian Phillips Curve and Regime Shifting," Staff Working Papers 03-32, Bank of Canada.
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    4. Basistha, Arabinda & Nelson, Charles R., 2007. "New measures of the output gap based on the forward-looking new Keynesian Phillips curve," Journal of Monetary Economics, Elsevier, vol. 54(2), pages 498-511, March.
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    10. Tatsuma Wada & Pierre Perron, 2005. "Trend and Cycles: A New Approach and Explanations of Some Old Puzzles," Computing in Economics and Finance 2005 252, Society for Computational Economics.
    11. Hansen, Bruce E., 2000. "Testing for structural change in conditional models," Journal of Econometrics, Elsevier, vol. 97(1), pages 93-115, July.
    12. 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.
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    14. Watson, Mark W., 1986. "Univariate detrending methods with stochastic trends," Journal of Monetary Economics, Elsevier, vol. 18(1), pages 49-75, July.
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    Cited by:

    1. Daisuke Nagakura, 2008. "How Are Shocks to Trend and Cycle Correlated? A Simple Methodology for Unidentified Unobserved Components Models," IMES Discussion Paper Series 08-E-24, Institute for Monetary and Economic Studies, Bank of Japan.
    2. Tara Sinclair & Yeuqing Jia, 2010. "Permanent and Transitory Macroeconomic Relationships between China and the Developed World," Working Papers 2010-08, The George Washington University, Institute for International Economic Policy.
    3. Berger, Tino & Kempa, Bernd, 2012. "Taylor rules and the Canadian–US equilibrium exchange rate," Journal of International Money and Finance, Elsevier, vol. 31(5), pages 1060-1075.
    4. Enders, Walter & Li, Jing, 2015. "Trend-cycle decomposition allowing for multiple smooth structural changes in the trend of US real GDP," Journal of Macroeconomics, Elsevier, vol. 44(C), pages 71-81.
    5. Soloschenko, Max & Weber, Enzo, 2012. "Trend-Cycle Interactions and the Subprime Crisis: Analysis of US and Canadian Output," University of Regensburg Working Papers in Business, Economics and Management Information Systems 470, University of Regensburg, Department of Economics.
    6. Tino Berger, 2011. "Estimating Europe’s natural rates," Empirical Economics, Springer, vol. 40(2), pages 521-536, April.
    7. James Morley & Irina B. Panovska & Tara M. Sinclair, 2013. "Testing Stationarity for Unobserved Components Models," Discussion Papers 2012-41A, School of Economics, The University of New South Wales.
    8. Berger, Tino & Kempa, Bernd, 2014. "Time-varying equilibrium rates in small open economies: Evidence for Canada," Journal of Macroeconomics, Elsevier, vol. 39(PA), pages 203-214.
    9. Ángel Guillén & Gabriel Rodríguez, 2014. "Trend-cycle decomposition for Peruvian GDP: application of an alternative method," Latin American Economic Review, Springer;Centro de Investigaciòn y Docencia Económica (CIDE), vol. 23(1), pages 1-44, December.
    10. T. Berger, 2008. "Estimating Europe’s Natural Rates from a forward-looking Phillips curve," Working Papers of Faculty of Economics and Business Administration, Ghent University, Belgium 08/498, Ghent University, Faculty of Economics and Business Administration.
    11. Mitra, Sinchan & Sinclair, Tara M., 2012. "Output Fluctuations In The G-7: An Unobserved Components Approach," Macroeconomic Dynamics, Cambridge University Press, vol. 16(03), pages 396-422, June.
    12. Berger, Tino & Kempa, Bernd, 2011. "Bayesian estimation of the output gap for a small open economy: The case of Canada," Economics Letters, Elsevier, vol. 112(1), pages 107-112, July.

    More about this item


    Stochastic trend; Inflation; GDP; Unobserved components model.;

    JEL classification:

    • E31 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Price Level; Inflation; Deflation
    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles

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