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Testing hypotheses in an I(2) model with applications to the persistent long swings in the Dmk/$ rate

Author

Listed:
  • Søren Johansen
  • Katarina Juselius
  • Roman Frydberg
  • Michael Goldberg

    (School of Economics and Management, University of Aarhus, Denmark and CREATES)

Abstract

This paper discusses a number of likelihood ratio tests on long-run relations and common trends in the I(2) model and provide new results on the test of overidentifying restrictions on beta’xt and the asymptotic variance for the stochastic trends parameters, alpha 1: How to specify deterministic components in the I(2) model is discussed at some length. Model specification and tests are illustrated with an empirical analysis of long and persistent swings in the foreign exchange market between Germany and USA. The data analyzed consist of nominal exchange rates, relative prices, US in.ation rate, two long-term interest rates and two short-term interest rates over the 1975-1999 period. One important aim of the paper is to demonstrate that by structuring the data with the help of the I(2) model one can achieve a better understanding of the empirical regularities underlying the persistent swings in nominal exchange rates, typical in periods of floating exchange rates.

Suggested Citation

  • Søren Johansen & Katarina Juselius & Roman Frydberg & Michael Goldberg, 2008. "Testing hypotheses in an I(2) model with applications to the persistent long swings in the Dmk/$ rate," CREATES Research Papers 2008-03, Department of Economics and Business Economics, Aarhus University.
    • Handle: RePEc:aah:create:2008-03
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    References listed on IDEAS

    as
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    Citations

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    Cited by:

    1. Ordóñez, Javier & Jusélius, Katarina, 2009. "Balassa-Samuelson and Wage, Price and Unemployment Dynamics in the Spanish Transition to EMU Membership," Economics - The Open-Access, Open-Assessment E-Journal (2007-2020), Kiel Institute for the World Economy (IfW Kiel), vol. 3, pages 1-30.
    2. Johansen, Søren, 2010. "Some identification problems in the cointegrated vector autoregressive model," Journal of Econometrics, Elsevier, vol. 158(2), pages 262-273, October.
    3. Kevin D. Hoover & Soren Johansen & Katarina Juselius, 2008. "Allowing the Data to Speak Freely: The Macroeconometrics of the Cointegrated Vector Autoregression," American Economic Review, American Economic Association, vol. 98(2), pages 251-255, May.
    4. Clive G. Bowsher & Roland Meeks, 2008. "Stationarity and the term structure of interest rates: a characterisation of stationary and unit root yield curves," Working Papers 0811, Federal Reserve Bank of Dallas.
    5. Javier Ordoñez & Katarina Juselius, 2008. "Wage, price and unemployment dynamics in the Spanish transition to EMU membership," Working Papers. Serie EC 2008-09, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    6. Frydman Roman & Goldberg Michael D., 2008. "Macroeconomic Theory for a World of Imperfect Knowledge," Capitalism and Society, De Gruyter, vol. 3(3), pages 1-78, December.
    7. Yuanyuan Li & Dietmar Bauer, 2020. "Modeling I(2) Processes Using Vector Autoregressions Where the Lag Length Increases with the Sample Size," Econometrics, MDPI, vol. 8(3), pages 1-28, September.

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    More about this item

    Keywords

    PPP puzzle; Forward premium puzzle; cointegrated VAR; likelihood inference;
    All these keywords.

    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
    • C52 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Evaluation, Validation, and Selection
    • F41 - International Economics - - Macroeconomic Aspects of International Trade and Finance - - - Open Economy Macroeconomics

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