Accounting for the Cyclical Dynamics of Income Shares

Enchuan Shao and Pedro Silos
Working Paper 2011-9
March 2011

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Over the business cycle, labor's share of output is negatively but weakly correlated with output, and it lags output by about four quarters. Profit's share is strongly procyclical. It neither leads nor lags output, and its volatility is about four times that of output. Despite the importance of understanding the dynamics of income shares for understanding aggregate technology and the degree of competition in factor markets, macroeconomics lacks models that can account for these dynamics. This paper constructs a model that can replicate those facts. We introduce costly entry of firms in a model with frictional labor markets and find a link between the ability of the model to replicate income shares' dynamics and the ability of the model to amplify and propagate shocks. That link is a countercyclical real interest rate, a well-known fact in U.S. data but a feature that models of aggregate fluctuations have had difficulty achieving.

JEL classification: E3, E25, J3, E24

Key words: labor's share, frictional labor market, firm entry

A previous version of this paper circulated under the title "Firm Entry and Labor Market Dynamics," but it evolved into a completely different paper. The authors thank Nicole Baerg, Craig Burnside, Sanjay Chugh, Jason Faberman, Federico Mandelman, B. Ravikumar, Richard Rogerson, Gustavo Ventura, and participants at seminars at Duke University, the University of Maryland, the University of Iowa, Florida State University, the Federal Reserve Bank of Atlanta, and the Midwest Macroeconomics Meetings. The views expressed here are the authors' and not necessarily those of the Federal Reserve Bank of Atlanta or the Federal Reserve System. Any remaining errors are the authors' responsibility.

Please address questions regarding content to Bank of Canada, Currency Department, 234 Wellington Street, Ottawa, Ontario, Canada K1A 0G9, 613-782-7926,, or Pedro Silos, Federal Reserve Bank of Atlanta, Research Department, 1000 Peachtree Street, N.E., Atlanta, GA 30309-4470, 404-498-8630, 404-498-8956 (fax),

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