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Analyzing I(2) Systems by Transformed Vector Autoregressions

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Author Info

  • Hans Christian Kongsted

    (Institute of Economics, University of Copenhagen)

  • Heino Bohn Nielsen

    (Institute of Economics, University of Copenhagen)

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    Abstract

    We characterize the restrictions imposed by the minimal I(2)-to-I(1) transformation that underlies much applied work, e.g. on money demand relationships or open-economy pricing relationships. The relationship between the parameters of the original I(2) vector autoregression, including the coefficients of polynomially cointegrating relationships, and the transformed I(1) model is characterized. We discuss estimation of the transformed model subject to restrictions as well as the more commonly used approach of unrestricted reduced rank regression. Only a minor loss of efficiency is incurred by ignoring the restrictions in the empirical example and a simulation study. A properly transformed vector autoregression thus provides a practical and effective means for inference on the parameters of the I(2) model.

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    Bibliographic Info

    Paper provided by University of Copenhagen. Department of Economics in its series Discussion Papers with number 02-20.

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    Length: 20 pages
    Date of creation: Nov 2002
    Date of revision:
    Handle: RePEc:kud:kuiedp:0220

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    Related research

    Keywords: cointegration; stochastic trend; price homogeneity; nominal; real; Monte Carlo experiment;

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    Cited by:
    1. 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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