DP2339 A Measure of Comovement for Economic Variables: Theory and Empirics
|Author(s):||Christophe Croux, Mario Forni, Lucrezia Reichlin|
|Publication Date:||December 1999|
|Keyword(s):||Business Cycle, Coherence, Comovements, Geography|
|Programme Areas:||International Macroeconomics|
|Link to this Page:||cepr.org/active/publications/discussion_papers/dp.php?dpno=2339|
This paper proposes a measure of dynamic comovement between (possibly many) time series and names it cohesion. The measure is defined in the frequency domain and is appropriate for processes that are costationary, possibly after suitable transformations. In the bivariate case, the measure reduces to dynamic correlation and is related, but not equal, to the well-known quantities coherence and coherency. Dynamic correlation on a frquency band equals (static) correlation of band-pass filtered series. Moreover, long run correlation and cohesion relate in a simple way to cointegration. Cohesion is useful to study problems of business cycle synchronization, to investigate short-run and long-run dynamic properties of multiple time series, to identify dynamic clusters. We use state income data for the US and GDP data for European nations to provide an empirical illustration focused on the geographical aspects of business cycle fluctuations.