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Accounting for Productivity Dispersion over the Business Cycle
This paper presents accounting decompositions of changes in aggregate labor and capital productivity. Our simplest decomposition breaks changes in an aggregate productivity ratio into two components: A mean component, which captures common changes to firm factor productivity ratios, and a dispersion component, which captures changes in the variance and higher order moments of their distribution. In standard models with heterogeneous firms and frictions to firm input decisions, the dispersion component is a function of changes in the second and higher moments of the log of marginal revenue ...