Carvalho, V. M. and Grassi, B.
Large Firm Dynamics and the Business Cycle
CWPE1556
Abstract: Do large firm dynamics drive the business cycle? We answer this question by developing a quantitative theory of aggregate fluctuations caused by firm-level disturbances alone. We show that a standard heterogeneous firm dynamics setup already contains in it a theory of the business cycle, without appealing to aggregate shocks. We offer a complete analytical characterization of the law of motion of the aggregate state in this class of models - the firm size distribution - and show that the resulting closed form solutions for aggregate output and productivity dynamics display: (i) persistence, (ii) volatility and (iii) time-varying second moments. We explore the key role of moments of the firm size distribution - and, in particular, the role of large firm dynamics - in shaping aggregate fluctuations, theoretically, quantitatively and in the data.
Keywords: Large Firm Dynamics, Firm Size Distribution, Random Growth, Aggregate Fluctuations
JEL Codes: D21 D22 D24 E32 L11
Author links: Vasco Carvalho
PDF: https://www.econ.cam.ac.uk/research-files/repec/cam/pdf/cwpe1556.pdf 
Open Access Link: https://doi.org/10.17863/CAM.5787
Published Version of Paper: Large Firm Dynamics and the Business Cycle, Carvalho, V. M. and Grassi, B., American Economic Review (2019)
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