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An I(2) cointegration analysis of small-country import price determination

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  • Hans Christian Kongsted

Abstract

This paper develops a procedure for testing hypotheses on the full set of cointegration parameters of the I(2) model. It applies this procedure to the analysis of small-country import price determination, extending the standard empirical framework to allow for variables integrated of order two. The empirical analysis of Danish data for 1975--1995 yields a fully specified long-run structure of the I(2) model in terms of stationary pricing-to-market and inventory relations, a nominal second-order stochastic trend embodied in equal proportions in domestic and foreign price levels, and a real first-order trend driving the relative prices and the real interest rate. Copyright Royal Economic Society, 2003

Suggested Citation

  • 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.
    • Handle: RePEc:ect:emjrnl:v:6:y:2003:i:1:p:53-71
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    Cited by:

    1. Gomez-Biscarri, Javier & Hualde, Javier, 2015. "A residual-based ADF test for stationary cointegration in I(2) settings," Journal of Econometrics, Elsevier, vol. 184(2), pages 280-294.
    2. 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).
    3. Justyna Wróblewska, 2009. "Bayesian Model Selection in the Analysis of Cointegration," Central European Journal of Economic Modelling and Econometrics, Central European Journal of Economic Modelling and Econometrics, vol. 1(1), pages 57-69, March.
    4. Juselius, Katarina, 2014. "Testing for near I(2) trends when the signal-to-noise ratio is small," Economics - The Open-Access, Open-Assessment E-Journal (2007-2020), Kiel Institute for the World Economy (IfW Kiel), vol. 8, pages 1-30.
    5. Roman Frydman & Michael D. Goldberg & Søren Johansen & Katarina Juselius, 2008. "A Resolution of the Purchasing Power Parity Puzzle: Imperfect Knowledge and Long Swings," Discussion Papers 08-31, University of Copenhagen. Department of Economics.
    6. Nevin Cavusoglu & Michael D. Goldberg & Joshua Stillwagon, 2019. "New Evidence on the Portfolio Balance Approach to Currency Returns," Working Papers Series 89, Institute for New Economic Thinking.
    7. Ida Wolden Bache & Bjørn E. Naug, 2008. "Estimating New Keynesian import price models," Working Paper 2007/15, Norges Bank.
    8. 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.
    9. Kurita, Takamitsu, 2020. "Likelihood-based tests for parameter constancy in I(2) CVAR models with an application to fixed-term deposit data," Journal of Multivariate Analysis, Elsevier, vol. 178(C).
    10. Boriss Siliverstovs, 2006. "Multicointegration in US consumption data," Applied Economics, Taylor & Francis Journals, vol. 38(7), pages 819-833.
    11. Nielsen, Heino Bohn, 2007. "A "maximum-eigenvalue" test for the cointegration ranks in I(2) vector autoregressions," Economics Letters, Elsevier, vol. 94(3), pages 445-451, March.
    12. Omtzigt, Pieter & Paruolo, Paolo, 2005. "Impact factors," Journal of Econometrics, Elsevier, vol. 128(1), pages 31-68, September.
    13. Hans Christian Kongsted & Heino Bohn Nielsen, 2004. "Analysing I(2) Systems by Transformed Vector Autoregressions," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 66(3), pages 379-397, July.
    14. Hui Liu & Gabriel Rodriguez, 2003. "Human Activities and Global Warming: A Cointegration Analysis," Working Papers 0307E, University of Ottawa, Department of Economics.
    15. Hans Christian Kongsted, 2002. "Testing the Nominal-to-Real Transformation," Discussion Papers 02-06, University of Copenhagen. Department of Economics.
    16. 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.
    17. Kongsted, Hans Christian, 2005. "Testing the nominal-to-real transformation," Journal of Econometrics, Elsevier, vol. 124(2), pages 205-225, February.

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