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On the mechanics of firm growth

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  • Erzo G. J. Luttmer

Abstract

The Pareto-like tail of the size distribution of firms can arise from random growth of productivity or stochastic accumulation of capital. If the shocks that give rise to firm growth are perfectly correlated within a firm, then the growth rates of small and large firms are equally volatile, contrary to what is found in the data. If firm growth is the result of many independent shocks within a firm, it can take hundreds of years for a few large firms to emerge. This paper describes an economy with both types of shocks that can account for the thick-tailed firm size distribution, high entry and exit rates, and the relatively young age of large firms. The economy is one in which aggregate growth is driven by the creation of new products by both new and incumbent firms. Some new firms have better ideas than others and choose to implement those ideas at a more rapid pace. Eventually, such firms slow down when the quality of their ideas reverts to the mean. As in the data, average growth rates in a cross section of firms will appear to be independent of firm size, for all but the smallest firms.

Suggested Citation

  • Erzo G. J. Luttmer, 2010. "On the mechanics of firm growth," Staff Report 440, Federal Reserve Bank of Minneapolis.
  • Handle: RePEc:fip:fedmsr:440
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    1. Steven J. Davis & John Haltiwanger & Ron Jarmin & Javier Miranda, 2007. "Volatility and Dispersion in Business Growth Rates: Publicly Traded versus Privately Held Firms," NBER Chapters, in: NBER Macroeconomics Annual 2006, Volume 21, pages 107-180, National Bureau of Economic Research, Inc.
    2. Xavier Gabaix & Augustin Landier, 2008. "Why has CEO Pay Increased So Much?," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 123(1), pages 49-100.
    3. Satyajit Chatterjee & Esteban Rossi‐Hansberg, 2012. "Spinoffs And The Market For Ideas," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 53(1), pages 53-93, February.
    4. Evans, David S, 1987. "The Relationship between Firm Growth, Size, and Age: Estimates for 100 Manufacturing Industries," Journal of Industrial Economics, Wiley Blackwell, vol. 35(4), pages 567-581, June.
    5. John Sutton, 1997. "Gibrat's Legacy," Journal of Economic Literature, American Economic Association, vol. 35(1), pages 40-59, March.
    6. Marko Tervio, 2008. "The Difference That CEOs Make: An Assignment Model Approach," American Economic Review, American Economic Association, vol. 98(3), pages 642-668, June.
    7. Dixit, Avinash K & Stiglitz, Joseph E, 1977. "Monopolistic Competition and Optimum Product Diversity," American Economic Review, American Economic Association, vol. 67(3), pages 297-308, June.
    8. John Sutton, 2007. "Market Share Dynamics and the "Persistence of Leadership" Debate," American Economic Review, American Economic Association, vol. 97(1), pages 222-241, March.
    9. Rasmus Lentz & Dale T. Mortensen, 2008. "An Empirical Model of Growth Through Product Innovation," Econometrica, Econometric Society, vol. 76(6), pages 1317-1373, November.
    10. Andrew B. Bernard & Stephen J. Redding & Peter K. Schott, 2006. "Multi-Product Firms and Product Switching," NBER Working Papers 12293, National Bureau of Economic Research, Inc.
    11. Holmes, Thomas J & Schmitz, James A, Jr, 1995. "On the Turnover of Business Firms and Business Managers," Journal of Political Economy, University of Chicago Press, vol. 103(5), pages 1005-1038, October.
    12. Esteban Rossi-Hansberg & Mark L. J. Wright, 2007. "Establishment Size Dynamics in the Aggregate Economy," American Economic Review, American Economic Association, vol. 97(5), pages 1639-1666, December.
    13. Daron Acemoglu & Kenneth Rogoff & Michael Woodford, 2009. "NBER Macroeconomics Annual 2008, Volume 23," NBER Books, National Bureau of Economic Research, Inc, number acem08-1, July.
    14. Thomas J. Holmes, 2006. "The Diffusion of Wal-Mart and Economies of Density," 2006 Meeting Papers 15, Society for Economic Dynamics.
    15. Erzo G. J. Luttmer, 2006. "Consumer search and firm growth," Working Papers 645, Federal Reserve Bank of Minneapolis.
    16. Stephen Hymer & Peter Pashigian, 1962. "Firm Size and Rate of Growth," Journal of Political Economy, University of Chicago Press, vol. 70(6), pages 556-556.
    17. Robert E. Lucas Jr., 1978. "On the Size Distribution of Business Firms," Bell Journal of Economics, The RAND Corporation, vol. 9(2), pages 508-523, Autumn.
    18. Boyan Jovanovic & Peter L. Rousseau, 2002. "The Q-Theory of Mergers," American Economic Review, American Economic Association, vol. 92(2), pages 198-204, May.
    19. Costas Arkolakis, 2010. "Market Penetration Costs and the New Consumers Margin in International Trade," Journal of Political Economy, University of Chicago Press, vol. 118(6), pages 1151-1199.
    20. Tor Jakob Klette & Samuel Kortum, 2004. "Innovating Firms and Aggregate Innovation," Journal of Political Economy, University of Chicago Press, vol. 112(5), pages 986-1018, October.
    21. Seker, Murat, 2009. "A structural model of establishment and industry evolution : evidence from Chile," Policy Research Working Paper Series 4947, The World Bank.
    22. Jonathan Eaton & Samuel Kortum, 2002. "Technology, Geography, and Trade," Econometrica, Econometric Society, vol. 70(5), pages 1741-1779, September.
    23. Andrew Atkeson & Patrick J. Kehoe, 2002. "Measuring Organization Capital," NBER Working Papers 8722, National Bureau of Economic Research, Inc.
    24. Jovanovic, Boyan, 1982. "Selection and the Evolution of Industry," Econometrica, Econometric Society, vol. 50(3), pages 649-670, May.
    25. Xavier Gabaix, 1999. "Zipf's Law for Cities: An Explanation," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 114(3), pages 739-767.
    26. Daron Acemoglu & Kenneth Rogoff & Michael Woodford, 2007. "NBER Macroeconomics Annual 2006, Volume 21," NBER Books, National Bureau of Economic Research, Inc, number acem06-1, July.
    27. Hall, Bronwyn H, 1987. "The Relationship between Firm Size and Firm Growth in the U.S. Manufacturing Sector," Journal of Industrial Economics, Wiley Blackwell, vol. 35(4), pages 583-606, June.
    28. Timothy Dunne & Mark J. Roberts & Larry Samuelson, 1989. "The Growth and Failure of U. S. Manufacturing Plants," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 104(4), pages 671-698.
    29. Sherwin Rosen, 2005. "Substitution And Division Of Labour," World Scientific Book Chapters,in: An Inframarginal Approach To Trade Theory, chapter 3, pages 29-51 World Scientific Publishing Co. Pte. Ltd..
    30. Hopenhayn, Hugo A, 1992. "Entry, Exit, and Firm Dynamics in Long Run Equilibrium," Econometrica, Econometric Society, vol. 60(5), pages 1127-1150, September.
    31. Matthew O. Jackson & Brian W. Rogers, 2007. "Meeting Strangers and Friends of Friends: How Random Are Social Networks?," American Economic Review, American Economic Association, vol. 97(3), pages 890-915, June.
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    More about this item

    JEL classification:

    • L1 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance
    • O3 - Economic Development, Innovation, Technological Change, and Growth - - Innovation; Research and Development; Technological Change; Intellectual Property Rights

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