Convergence is defined for a multivariate time-series model of output with breaks in intercepts and in time trends. Using OECD quarterly data on output from 1980, the convergence hypothesis is tested across seven European economies, Belgium, Finland, France, Italy, the Netherlands, Spain and the UK. On the strictest definition, the hypothesis of convergence of output can be rejected but, with a weaker definition, there is some evidence of convergence for the five countries Belgium, Finland, France, the Netherlands and the UK. The data is consistent with a model in which each country's trend output is related to a common European stochastic trend. This trend output is estimated and graphed for each country.
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