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Tests for Cointegration Rank and the Initial Condition

  • Ahlgren, Niklas

    ()

    (Hanken School of Economics)

  • Juselius, Mikael

    ()

    (University of Helsinki)

Many economic events involve initial observations that substantially deviate from long-run steady state. Initial conditions of this type have been found to impact diversely on the power of univariate unit root tests, whereas the impact on multivariate tests is largely unknown. This paper investigates the impact of the initial condition on tests for cointegration rank. We compare the local power of the widely used likelihood ratio (LR) test with the local power of a test based on the eigenvalues of the companion matrix. We find that the power of the LR test is increasing in the magnitude of the initial condition, whereas the power of the other test is decreasing. The behaviour of the tests is investigated in an application to price convergence.

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Paper provided by Hanken School of Economics in its series Working Papers with number 539.

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Length: 43 pages
Date of creation: 13 May 2009
Date of revision:
Publication status: Forthcoming as Ahlgren, Niklas and Mikael Juselius, 'Tests for Cointegration Rank and the Initial Condition ' in Empirical Economics., 2011.
Handle: RePEc:hhb:hanken:0539
Contact details of provider: Postal: Hanken School of Economics, Arkadiankatu 22, P.O.B. 479; FIN 00101 Helsinki, Finland
Phone: +358-9-431 331
Fax: +358-9-431 33 333
Web page: http://www.hanken.fi
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  1. Elliott, Graham & Rothenberg, Thomas J & Stock, James H, 1996. "Efficient Tests for an Autoregressive Unit Root," Econometrica, Econometric Society, vol. 64(4), pages 813-36, July.
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  24. Johansson, Edvard & Böckerman, Petri & Kiiskinen, Urpo & Heliövaara, Markku, 2007. "The Effect of Obesity on Wages and Employment: The Difference Between Having a High BMI and Being Fat," Working Papers 528, Hanken School of Economics.
  25. David I. Harvey & Stephen J. Leybourne, 2005. "On testing for unit roots and the initial observation," Econometrics Journal, Royal Economic Society, vol. 8(1), pages 97-111, 03.
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  28. Böckerman, Petri & Johansson, Edvard & Jousilahti, Pekka & Uutela, Antti, 2007. "The Physical Strenuousness of Work is Slightly Associated with an Upward Trend in the Body Mass Index," Working Papers 523, Hanken School of Economics.
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