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Optimal Power for Testing Potential Cointegrating Vectors with Known

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  • Elliott, Graham
  • Jansson, Michael
  • Pesavento, Elena
Abstract
Theory often specifies a particular cointegrating vector amongst integrated variables and it is often required that one test for a unit root in the known cointegrating vector. It is common to simply employ a univariate test for a unit root, but this does not take into account all available information. We show that in such testing situations, a family of tests with optimality properties exists. We use this to characterize the extent of the loss in power from using popular methods, as well as to derive a test that works well in practice. We characterize the extent of the losses of not imposing the cointegrating vector in the testing procedure. We apply various tests to the hypothesis that price forecasts from the Livingston data survey are cointegrated with prices, and find that although most tests fail to reject the presence of a unit root in forecast errors the tests presented here strongly reject this (implausible) hypothesis.

Suggested Citation

  • Elliott, Graham & Jansson, Michael & Pesavento, Elena, 2004. "Optimal Power for Testing Potential Cointegrating Vectors with Known," University of California at San Diego, Economics Working Paper Series qt2bv7n071, Department of Economics, UC San Diego.
    • Handle: RePEc:cdl:ucsdec:qt2bv7n071
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    References listed on IDEAS

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    5. Elliott, Graham & Jansson, Michael, 2000. "Testing for Unit Roots with Stationary Covariances," Department of Economics, Working Paper Series qt47k7z69n, Department of Economics, Institute for Business and Economic Research, UC Berkeley.
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    Cited by:

    1. Elliott, Graham & Jansson, Michael, 2000. "Testing for Unit Roots with Stationary Covariances," Department of Economics, Working Paper Series qt47k7z69n, Department of Economics, Institute for Business and Economic Research, UC Berkeley.
    2. Elliott, Graham & Jansson, Michael, 2002. "Testing for Unit Roots with Stationary Covariates," Department of Economics, Working Paper Series qt4v35s2gv, Department of Economics, Institute for Business and Economic Research, UC Berkeley.
    3. Elliott, Graham & Jansson, Michael, 2002. "Testing for Unit Roots with Stationary Covariates," University of California at San Diego, Economics Working Paper Series qt4v35s2gv, Department of Economics, UC San Diego.
    4. Elliott, Graham & Jansson, Michael, 2000. "Testing for Unit Roots with Stationary Covariances," University of California at San Diego, Economics Working Paper Series qt47k7z69n, Department of Economics, UC San Diego.
    5. Elliott, Graham & Jansson, Michael, 2003. "Testing for unit roots with stationary covariates," Journal of Econometrics, Elsevier, vol. 115(1), pages 75-89, July.

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