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Testing for Near I (2) Trends When the Signal to Noise Ratio is Small

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  • Katarina Juselius

    (Department of Economics, Copenhagen University)

Abstract

Researchers seldom find evidence of I (2) in exchange rates, prices, and other macroeconomics time series when they test the order of integration using univariate Dickey-Fuller tests. In contrast, when using the multivariate ML trace test we frequently find double unit roots in the data. Our paper demonstrates by simulations that this often happens when the signal-to-noise-ratio is small.

Suggested Citation

  • Katarina Juselius, 2013. "Testing for Near I (2) Trends When the Signal to Noise Ratio is Small," Discussion Papers 14-01, University of Copenhagen. Department of Economics.
    • Handle: RePEc:kud:kuiedp:1401
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    References listed on IDEAS

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    1. Engel, Charles, 1994. "Can the Markov switching model forecast exchange rates?," Journal of International Economics, Elsevier, vol. 36(1-2), pages 151-165, February.
    2. Luca Fanelli & Emanuele Bacchiocchi, 2005. "Testing the purchasing power parity through I(2) cointegration techniques," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 20(6), pages 749-770.
    3. Juselius, Katarina, 1995. "Do purchasing power parity and uncovered interest rate parity hold in the long run? An example of likelihood inference in a multivariate time-series model," Journal of Econometrics, Elsevier, vol. 69(1), pages 211-240, September.
    4. Cheung, Yin-Wong & Lai, Kon S. & Bergman, Michael, 2004. "Dissecting the PPP puzzle: the unconventional roles of nominal exchange rate and price adjustments," Journal of International Economics, Elsevier, vol. 64(1), pages 135-150, October.
    5. Cheung, Yin-Wong & Erlandsson, Ulf G., 2005. "Exchange Rates and Markov Switching Dynamics," Journal of Business & Economic Statistics, American Statistical Association, vol. 23, pages 314-320, July.
    6. Franchi, Massimo & Jusélius, Katarina, 2007. "Taking a DSGE Model to the Data Meaningfully," Economics - The Open-Access, Open-Assessment E-Journal, Kiel Institute for the World Economy (IfW), vol. 1, pages 1-38.
    7. Kongsted, Hans Christian, 2005. "Testing the nominal-to-real transformation," Journal of Econometrics, Elsevier, vol. 124(2), pages 205-225, February.
    8. Hans Christian Kongsted, 2003. "An I(2) cointegration analysis of small-country import price determination," Econometrics Journal, Royal Economic Society, vol. 6(1), pages 53-71, June.
    9. Johansen, Søren & Juselius, Katarina & Frydman, Roman & Goldberg, Michael, 2010. "Testing hypotheses in an I(2) model with piecewise linear trends. An analysis of the persistent long swings in the Dmk/$ rate," Journal of Econometrics, Elsevier, vol. 158(1), pages 117-129, September.
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    Citations

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    Cited by:

    1. Robert Kelm, 2017. "The Purchasing Power Parity Puzzle and Imperfect Knowledge: The Case of the Polish Zloty," Central European Journal of Economic Modelling and Econometrics, CEJEME, vol. 9(1), pages 1-27, March.
    2. repec:gam:jecnmx:v:5:y:2017:i:3:p:30-:d:104032 is not listed on IDEAS
    3. Katarina Juselius, 2017. "Using a Theory-Consistent CVAR Scenario to Test an Exchange Rate Model Based on Imperfect Knowledge," Econometrics, MDPI, Open Access Journal, vol. 5(3), pages 1-20, July.
    4. repec:gam:jecnmx:v:5:y:2017:i:3:p:29-:d:103932 is not listed on IDEAS

    More about this item

    JEL classification:

    • C1 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General
    • C18 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Methodolical Issues: General
    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes
    • 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
    • C52 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Evaluation, Validation, and Selection

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