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Testing for the Cointegrating Rank of a VAR Process with Level Shift and Trend Break

Author

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  • Carsten Trenkler
  • Pentti Saikkonen
  • Helmut Luetkepohl

Abstract

A test for the cointegrating rank of a vector autoregressive (VAR) process with a possible shift and broken linear trend is proposed. The break point is assumed to be known. The setup is a VAR process for cointegrated variables. The tests are not likelihood ratio tests but the deterministic terms including the broken trends are removed first by a GLS procedure and a likelihood ratio type test is applied to the adjusted series. The asymptotic null distribution of the test is derived and it is shown by a Monte Carlo experiment that the test has better small sample properties in many cases than a corresponding Gaussian likelihood ratio test for the cointegrating rank.

Suggested Citation

  • Carsten Trenkler & Pentti Saikkonen & Helmut Luetkepohl, 2006. "Testing for the Cointegrating Rank of a VAR Process with Level Shift and Trend Break," Economics Working Papers ECO2006/29, European University Institute.
  • Handle: RePEc:eui:euiwps:eco2006/29
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    References listed on IDEAS

    as
    1. Carsten Trenkler, 2008. "Determining p-values for systems cointegration tests with a prior adjustment for deterministic terms," Computational Statistics, Springer, vol. 23(1), pages 19-39, January.
    2. Cliff L.F. Attfield & Jonathan R.W. Temple, 2003. "Measuring trend output: how useful are the Great Ratios?," Bristol Economics Discussion Papers 03/555, Department of Economics, University of Bristol, UK.
    3. Saikkonen, Pentti & L tkepohl, Helmut & Trenkler, Carsten, 2006. "Break Date Estimation For Var Processes With Level Shift With An Application To Cointegration Testing," Econometric Theory, Cambridge University Press, vol. 22(01), pages 15-68, February.
    4. Doornik, Jurgen A, 1998. " Approximations to the Asymptotic Distributions of Cointegration Tests," Journal of Economic Surveys, Wiley Blackwell, vol. 12(5), pages 573-593, December.
    5. Saikkonen, Pentti & L tkepohl, Helmut, 1999. "Local Power Of Likelihood Ratio Tests For The Cointegrating Rank Of A Var Process," Econometric Theory, Cambridge University Press, vol. 15(01), pages 50-78, February.
    6. Christoffersen, Peter F & Giorgianni, Lorenzo, 2000. "Interest-Rate Arbitrage in Currency Baskets: Forecasting Weights and Measuring Risk," Journal of Business & Economic Statistics, American Statistical Association, pages 242-253.
    7. Saikkonen, Pentti & Lutkepohl, Helmut, 2000. "Testing for the Cointegrating Rank of a VAR Process with Structural Shifts," Journal of Business & Economic Statistics, American Statistical Association, vol. 18(4), pages 451-464, October.
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    11. Kirstin Hubrich & Helmut Lutkepohl & Pentti Saikkonen, 2001. "A Review Of Systems Cointegration Tests," Econometric Reviews, Taylor & Francis Journals, pages 247-318.
    12. King, Robert G. & Plosser, Charles I. & Stock, James H. & Watson, Mark W., 1991. "Stochastic Trends and Economic Fluctuations," American Economic Review, American Economic Association, vol. 81(4), pages 819-840, September.
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    15. Helmut Lütkepohl & Pentti Saikkonen & Carsten Trenkler, 2004. "Testing for the Cointegrating Rank of a VAR Process with Level Shift at Unknown Time," Econometrica, Econometric Society, vol. 72(2), pages 647-662, March.
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    17. Perron, Pierre, 1990. "Testing for a Unit Root in a Time Series with a Changing Mean," Journal of Business & Economic Statistics, American Statistical Association, vol. 8(2), pages 153-162, April.
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    Cited by:

    1. Attfield, Cliff & Temple, Jonathan R.W., 2010. "Balanced growth and the great ratios: New evidence for the US and UK," Journal of Macroeconomics, Elsevier, pages 937-956.
    2. Koukouritakis, Minoas, 2013. "Expectations hypothesis in the context of debt crisis: Evidence from five major EU countries," Research in Economics, Elsevier, vol. 67(3), pages 243-258.
    3. Giannellis, Nikolaos & Koukouritakis, Minoas, 2013. "Exchange rate misalignment and inflation rate persistence: Evidence from Latin American countries," International Review of Economics & Finance, Elsevier, vol. 25(C), pages 202-218.
    4. Nikolaos Giannellis & Minoas Koukouritakis, 2011. "Behavioural equilibrium exchange rate and total misalignment: evidence from the euro exchange rate," Empirica, Springer;Austrian Institute for Economic Research;Austrian Economic Association, vol. 38(4), pages 555-578, November.
    5. Deniz Dilan Karaman Örsal, 2008. "Comparison of Panel Cointegration Tests," Economics Bulletin, AccessEcon, vol. 3(6), pages 1-20.
    6. Lindback, Morten & Osmundsen, Petter & Øglend, Atle, 2013. "Shale Gas and the Relationship between U.S. Natural Gas, Liquified Petroleum Gases and Oil Market," UiS Working Papers in Economics and Finance 2013/5, University of Stavanger.
    7. repec:kap:ecopln:v:50:y:2017:i:3:d:10.1007_s10644-017-9208-3 is not listed on IDEAS
    8. Minoas Koukouritakis, 2016. "Eurozone Debt Crisis and Bond Yields Convergence: Evidence from the New EU Countries," Working Papers 1606, University of Crete, Department of Economics.
    9. Martins Iyoboyi & Ummu Ahmad Jalingo & Ahmad Tsauni, 2016. "Impact of Institutions on Macroeconomic Performance in Nigeria: 1980-2013," Eastern European Business and Economics Journal, Eastern European Business and Economics Studies Centre, vol. 2(3), pages 193-221.
    10. Koukouritakis, Minoas & Papadopoulos, Athanasios P. & Yannopoulos, Andreas, 2014. "Transmission effects in the presence of structural breaks: Evidence from South-Eastern European countries," Economic Modelling, Elsevier, vol. 41(C), pages 298-311.
    11. Nikolaos Giannellis & Minoas Koukouritakis, 2016. "Eurozone's Leader and its Followers: Are their Markets Integrated Enough?," Working Papers 1607, University of Crete, Department of Economics.

    More about this item

    Keywords

    Cointegration; structural break; vector autoregressive process; error correction model;

    JEL classification:

    • C32 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes; State Space Models

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