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Published online by Cambridge University Press: 07 October 2009
A vector autoregressive model allowing for unit rootsas well as an explosive characteristic root isdeveloped. The Granger-Johansen representation showsthat this results in processes with two commonfeatures: a random walk and an explosively growingprocess. Cointegrating and coexplosive vectors canbe found that eliminate these common factors. Thelikelihood ratio test for a simple hypothesis on thecoexplosive vectors is analyzed. The method isillustrated using data from the extreme Yugoslavianhyperinflation of the 1990s.
I am grateful to Søren Johansen, who read anearlier version of this paper very carefully andpresented it at the Conference on Common Featuresin Rio de Janeiro in July 2002. I have alsobenefited from discussions with Martin Wagner andinsightful comments from the referees.Computations were done using PcGive (Doornik andHendry, 2001). Financial support from ESRC grantRES-000-27-0179 is gratefully acknowledged.