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Granger's Representation Theorem and Multicointegration

Author

Listed:
  • Engsted, T.
  • Johansen, S.

Abstract

We consider multicointegration in the sense of Granger and Lee (1990), that is, the cumulated equilibrium error cointegrates with the process itself. It is shown, that if the process is given by the cointegrated VAR model for I(1) variables, then multicointegration cannot occur. If, however, the cumulated process satisfies an I(2) model then multicointegration may occur. Finally conditions are given on the moving average representation for the process to exhibit multicointegration. This result generalizes the analysis of Granger and Lee.

Suggested Citation

  • Engsted, T. & Johansen, S., 1997. "Granger's Representation Theorem and Multicointegration," Economics Working Papers eco97/15, European University Institute.
    • Handle: RePEc:eui:euiwps:eco97/15
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    Citations

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    Cited by:

    1. Regina Escario & Mar�a Dolores Gadea & Marcela Sabat�, 2009. "Government Solvency or just Pseudo-Sustainability? a Long-Run Multicointegration Approach for Spain," Documentos de Trabajo dt2009-07, Facultad de Ciencias Económicas y Empresariales, Universidad de Zaragoza.
    2. Scheiblecker, Marcus, 2013. "Between cointegration and multicointegration: Modelling time series dynamics by cumulative error correction models," Economic Modelling, Elsevier, vol. 31(C), pages 511-517.
    3. Leachman, Lori L. & Francis, Bill B., 2000. "Multicointegration Analysis of the Sustainability of Foreign Debt," Journal of Macroeconomics, Elsevier, vol. 22(2), pages 207-227, April.
    4. Engsted, Tom & Gonzalo, Jesus & Haldrup, Niels, 1997. "Testing for multicointegration," Economics Letters, Elsevier, vol. 56(3), pages 259-266, November.
    5. Cassim, Lucius, 2020. "A Residual-based Test For Multicointegration In Models With Structural Breaks And Threshold Adjustment To Steady State," MPRA Paper 101453, University Library of Munich, Germany.
    6. A. Tahai & Robert Rutledge & Khondkar Karim, 2004. "An examination of financial integration for the group of seven (G7) industrialized countries using an I( ) cointegration model," Applied Financial Economics, Taylor & Francis Journals, vol. 14(5), pages 327-335.
    7. Lori Leachman & Bill Francis, 2002. "Twin Deficits: Apparition or Reality?," Applied Economics, Taylor & Francis Journals, vol. 34(9), pages 1121-1132.
    8. Olgica Glavaški & Emilija Beker Pucar, 2021. "Heterogeneity of fiscal adjustments in EU economies in the pre- and post-crisis periods: common correlated effects approach," Eurasian Economic Review, Springer;Eurasia Business and Economics Society, vol. 11(1), pages 191-226, March.
    9. Escario, Regina & Gadea, María Dolores & Sabaté, Marcela, 2012. "Multicointegration, seigniorage and fiscal sustainability. Spain 1857–2000," Journal of Policy Modeling, Elsevier, vol. 34(2), pages 270-283.

    More about this item

    Keywords

    ECONOMETRICS;

    JEL classification:

    • C00 - Mathematical and Quantitative Methods - - General - - - General

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