Testing for Cointegration Using the Johansen Methodology when Variables are Near-Integrated

June 1, 2007

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Pär Österholm, and Erik Hjalmarsson. Testing for Cointegration Using the Johansen Methodology when Variables are Near-Integrated, (USA: International Monetary Fund, 2007) accessed November 23, 2024

Disclaimer: This Working Paper should not be reported as representing the views of the IMF.The views expressed in this Working Paper are those of the author(s) and do not necessarily represent those of the IMF or IMF policy. Working Papers describe research in progress by the author(s) and are published to elicit comments and to further debate

Summary

We investigate the properties of Johansen's (1988, 1991) maximum eigenvalue and trace tests for cointegration under the empirically relevant situation of near-integrated variables. Using Monte Carlo techniques, we show that in a system with near-integrated variables, the probability of reaching an erroneous conclusion regarding the cointegrating rank of the system is generally substantially higher than the nominal size. The risk of concluding that completely unrelated series are cointegrated is therefore non-negligible. The spurious rejection rate can be reduced by performing additional tests of restrictions on the cointegrating vector(s), although it is still substantially larger than the nominal size.

Subject: Inflation, Real exchange rates, Vector autoregression, Vector error correction models

Keywords: Integrating vector, WP

Publication Details

Pages:

19
Volume:

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DOI:

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Issue:

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Series:

Working Paper No. 2007/141
Stock No:

WPIEA2007141
ISBN:

9781451867053
ISSN:

1018-5941

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