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The U-shaped Law of High-growth Firms

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  • ARATA Yoshiyuki
  • MIYAKAWA Daisuke
  • MORI Katsuki

Abstract

This paper investigates firm growth dynamics by using the theory of stochastic processes and data on corporate tax records covering almost all firms in Japan. We show that the growth path of high-growth firms (HGFs) is characterized by a single large jump rather than a gradual increase. Specifically, before the jump occurs, the growth path of a HGF is similar to that of non-HGFs, but then it experiences a rapid increase in size. This growth pattern with a jump is typical (i.e., most likely) for HGFs. To provide further empirical evidence, we consider the ratio of the growth rate in the first period to the entire growth rate over two periods. The histogram of this ratio exhibits a U-shaped curve for HGFs, indicating that high growth over the two periods is explained by high growth either in the first or second period (but not both). This U-shaped curve is consistent with the idea that a single large jump determines the growth path of HGFs.

Suggested Citation

  • ARATA Yoshiyuki & MIYAKAWA Daisuke & MORI Katsuki, 2023. "The U-shaped Law of High-growth Firms," Discussion papers 23087, Research Institute of Economy, Trade and Industry (RIETI).
    • Handle: RePEc:eti:dpaper:23087
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    References listed on IDEAS

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    1. Sergey V. Buldyrev & Jakub Growiec & Fabio Pammolli & Massimo Riccaboni & H. Eugene Stanley, 2007. "The Growth of Business Firms: Facts and Theory," Journal of the European Economic Association, MIT Press, vol. 5(2-3), pages 574-584, 04-05.
    2. Julian S. Frankish & Richard G. Roberts & Alex Coad & Taylor C. Spears & David J. Storey, 2013. "Do entrepreneurs really learn? Or do they just tell us that they do?," Industrial and Corporate Change, Oxford University Press and the Associazione ICC, vol. 22(1), pages 73-106, February.
    3. Giovanni Dosi & Marcelo C. Pereira & Maria Enrica Virgillito, 2017. "The footprint of evolutionary processes of learning and selection upon the statistical properties of industrial dynamics," Industrial and Corporate Change, Oxford University Press and the Associazione ICC, vol. 26(2), pages 187-210.
    4. Giulio Bottazzi & Alex Coad & Nadia Jacoby & Angelo Secchi, 2011. "Corporate growth and industrial dynamics: evidence from French manufacturing," Applied Economics, Taylor & Francis Journals, vol. 43(1), pages 103-116.
    5. Giulio Bottazzi & Angelo Secchi, 2006. "Explaining the distribution of firm growth rates," RAND Journal of Economics, RAND Corporation, vol. 37(2), pages 235-256, June.
    6. Stefano Bianchini & Giulio Bottazzi & Federico Tamagni, 2017. "What does (not) characterize persistent corporate high-growth?," Small Business Economics, Springer, vol. 48(3), pages 633-656, March.
    7. Sven-Olov Daunfeldt & Daniel Halvarsson, 2015. "Are high-growth firms one-hit wonders? Evidence from Sweden," Small Business Economics, Springer, vol. 44(2), pages 361-383, February.
    8. Alex Coad & Sven-Olov Daunfeldt & Werner Hölzl & Dan Johansson & Paul Nightingale, 2014. "High-growth firms: introduction to the special section," Industrial and Corporate Change, Oxford University Press and the Associazione ICC, vol. 23(1), pages 91-112, February.
    9. Arata, Yoshiyuki, 2019. "Firm growth and Laplace distribution: The importance of large jumps," Journal of Economic Dynamics and Control, Elsevier, vol. 103(C), pages 63-82.
    10. Silviano Esteve-Pérez & Fabio Pieri & Diego Rodriguez, 2022. "One swallow does not make a summer: episodes and persistence in high growth," Small Business Economics, Springer, vol. 58(3), pages 1517-1544, March.
    11. Guarascio, Dario & Tamagni, Federico, 2019. "Persistence of innovation and patterns of firm growth," Research Policy, Elsevier, vol. 48(6), pages 1493-1512.
    12. Alex Coad & Werner Hölzl, 2009. "On the Autocorrelation of Growth Rates," Journal of Industry, Competition and Trade, Springer, vol. 9(2), pages 139-166, June.
    13. Alex Coad, 2007. "A Closer Look at Serial Growth Rate Correlation," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 31(1), pages 69-82, August.
    14. Delmar, Frederic & Davidsson, Per & Gartner, William B., 2003. "Arriving at the high-growth firm," Journal of Business Venturing, Elsevier, vol. 18(2), pages 189-216, March.
    15. Coad, Alex & Frankish, Julian & Roberts, Richard G. & Storey, David J., 2013. "Growth paths and survival chances: An application of Gambler's Ruin theory," Journal of Business Venturing, Elsevier, vol. 28(5), pages 615-632.
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