The Power of Bootstrap Tests of Cointegration Rank with Financial Time Series
AbstractBootstrap 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.
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Bibliographic InfoPaper provided by Hanken School of Economics in its series Working Papers with number 541.
Length: 43 pages
Date of creation: 11 Jun 2009
Date of revision:
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Cointegration; Likelihood ratio test; Test power; Bootstrap;
This paper has been announced in the following NEP Reports:
- NEP-ALL-2009-07-03 (All new papers)
- NEP-ECM-2009-07-03 (Econometrics)
- NEP-ETS-2009-07-03 (Econometric Time Series)
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