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Testing for near I(2) trends when the signal to noise ratio is small

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  • Juselius, Katarina

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

  • Juselius, Katarina, 2014. "Testing for near I(2) trends when the signal to noise ratio is small," Economics Discussion Papers 2014-8, Kiel Institute for the World Economy (IfW Kiel).
    • Handle: RePEc:zbw:ifwedp:20148
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    Cited by:

    1. Jung, Alexander & Carcel Villanova, Hector, 2020. "The empirical properties of euro area M3, 1980-2017," The Quarterly Review of Economics and Finance, Elsevier, vol. 77(C), pages 37-49.
    2. 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, Central European Journal of Economic Modelling and Econometrics, vol. 9(1), pages 1-27, March.
    3. Katarina Juselius, 2017. "Using a Theory-Consistent CVAR Scenario to Test an Exchange Rate Model Based on Imperfect Knowledge," Econometrics, MDPI, vol. 5(3), pages 1-20, July.
    4. Francesca Di Iorio & Stefano Fachin & Riccardo Lucchetti, 2016. "Can you do the wrong thing and still be right? Hypothesis testing in I(2) and near-I(2) cointegrated VARs," Applied Economics, Taylor & Francis Journals, vol. 48(38), pages 3665-3678, August.
    5. Cavusoglu, Nevin & Goldberg, Michael D. & Stillwagon, Josh, 2021. "Currency returns and downside risk: Debt, volatility, and the gap from benchmark values," Journal of Macroeconomics, Elsevier, vol. 68(C).
    6. Bjørnar Karlsen Kivedal, 2023. "Long run non-linearity in CO2 emissions: the I(2) cointegration model and the environmental Kuznets curve," Empirica, Springer;Austrian Institute for Economic Research;Austrian Economic Association, vol. 50(4), pages 899-931, November.
    7. Juselius, Katarina & Stillwagon, Josh R., 2018. "Are outcomes driving expectations or the other way around? An I(2) CVAR analysis of interest rate expectations in the dollar/pound market," Journal of International Money and Finance, Elsevier, vol. 83(C), pages 93-105.
    8. Leonardo Salazar, 2017. "Modeling Real Exchange Rate Persistence in Chile," Econometrics, MDPI, vol. 5(3), pages 1-21, July.

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    More about this item

    Keywords

    univariate and multivariate unit root tests; double unit roots; near I(2);
    All these keywords.

    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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