Output Fluctuations in the G-7: An Unobserved Components Approach

This paper contributes to the debate about the relative importance of permanent versus transitory disturbances as sources of variation in output across the G-7 countries. We employ a multivariate unobserved components model to simultaneously decompose the real GDP for each of the G-7 countries into their respective permanent and transitory components. In contrast to much of the related literature, our model allows for explicit interaction between the components both within and across series. This approach thus allows us to distinguish cross-country correlations driven by the relationships between permanent innovations from those between transitory movements. We find that fluctuations in output are primarily due to permanent movements for all of the G-7 countries. We also find that the correlation between the permanent and transitory innovations within each series is significantly negative. With regards to cross- country relationships, we find important idiosyncratic variation in the correlation across different country pairs.Permanent-Transitory Decompositions, Business Cycles, Correlations, Real GDP

Output Fluctuations in the G-7: An Unobserved Components Approach

This paper proposes a multivariate unobserved components model to simultaneously decompose the real GDP for each of the G-7 countries into their respective trend and cycle components. In contrast to previous literature, our model allows for explicit correlation between all the contemporaneous trend and cycle shocks. This approach thus allows us to distinguish cross-country correlation driven by shared trend shocks from correlation between the cycle shocks. We find that fluctuations in output are primarily due to permanent shocks for all of the G-7 countries. We also find that common restrictions on the correlations between trend and cycle shocks are rejected by the data. With regards to cross-country relationships, we find some countries share more transitory shocks, such as Canada and the US, whereas others, such as Germany and France, share more permanent shocks.

Output fluctuations in the G-7: an unobserved components approach

This paper proposes a multivariate unobserved-components model to simultaneously decompose the real GDP for each of the G-7 countries into its respective trend and cycle components. In contrast to previous literature, our model allows for explicit correlation between all the contemporaneous trend and cycle shocks. We find that all the G-7 countries have highly variable stochastic permanent components for output, even once we allow for structural breaks. We also find that common restrictions on the correlations between trend and cycle shocks are rejected by the data. In particular, we find that correlations across permanent and transitory shocks are important both within and across countries

“Output Fluctuations in the G-7: An Unobserved Components Approach,”

This paper proposes a multivariate unobserved-components model to simultaneously decompose the real GDP for each of the G-7 countries into its respective trend and cycle components. In contrast to previous literature, our model allows for explicit correlation between all the contemporaneous trend and cycle shocks. We find that all the G-7 countries have highly variable stochastic permanent components for output, even once we allow for structural breaks. We also find that common restrictions on the correlations between trend and cycle shocks are rejected by the data. In particular, we find that correlations across permanent and transitory shocks are important both within and across countries