Paper #1439

Título:

A residual-based ADF test for stationary cointegration in I (2) settings

Autores:

Javier Gómez Biscarri y Javier Hualde

Data:

Septiembre 2014

Resumen:

We propose a residual-based augmented Dickey-Fuller (ADF) test statistic that allows for detection of stationary cointegration within a system that may contain both I (2) and I (1) observables. The test is also consistent under the alternative of multicointegration, where first differences of the I (2) observables enter the cointegrating relationships. We find the null limiting distribution of this statistic and justify why our proposal improves over related approaches. Critical values are computed for a variety of situations. Additionally, building on this ADF test statistic, we propose a procedure to test the null of no stationary cointegration which overcomes the drawback, suffered by any residual-based method, of the lack of power with respect to some relevant alternatives. Finally, a Monte Carlo experiment is carried out and an empirical application is provided as an illustrative example.

Palabras clave:

I(2) systems; stationary cointegration; multicointegration; residual-based tests.

Códigos JEL:

C12, C22, C32.

Área de investigación:

Finanzas y Contabilidad / Macroeconomía y Economía Internacional / Estadística, Econometría y Métodos Cuantitativos

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