IDEAS home Printed from https://ideas.repec.org/p/eui/euiwps/eco97-15.html
   My bibliography  Save this paper

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
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a search for a similarly titled item that would be available.

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eui:euiwps:eco97/15. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Cécile Brière (email available below). General contact details of provider: https://edirc.repec.org/data/deiueit.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.