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The Power of Bootstrap Tests of Cointegration Rank with Financial Time Series

Author

Listed:
  • Ahlgren, Niklas

    (Hanken School of Economics)

  • Antell, Jan

    (Hanken School of Economics)

Abstract

Bootstrap likelihood ratio tests of cointegration rank are commonly used because they tend to have rejection probabilities that are closer to the nominal level than the rejection probabilities of the correspond- ing asymptotic tests. The e¤ect of bootstrapping the test on its power is largely unknown. We show that a new computationally inexpensive procedure can be applied to the estimation of the power function of the bootstrap test of cointegration rank. The bootstrap test is found to have a power function close to that of the level-adjusted asymp- totic test. The bootstrap test estimates the level-adjusted power of the asymptotic test highly accurately. The bootstrap test may have low power to reject the null hypothesis of cointegration rank zero, or underestimate the cointegration rank. An empirical application to Euribor interest rates is provided as an illustration of the findings.

Suggested Citation

  • Ahlgren, Niklas & Antell, Jan, 2009. "The Power of Bootstrap Tests of Cointegration Rank with Financial Time Series," Working Papers 541, Hanken School of Economics.
    • Handle: RePEc:hhb:hanken:0541
    as

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    References listed on IDEAS

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    Keywords

    Cointegration; Likelihood ratio test; Test power; Bootstrap;
    All these keywords.

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