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Do firms’ growth rates depend on firm size?

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Abstract

The empirical literature dealing with corporate growth does not in general give support to Gibrat’s Law stating that the expected increase in firm size is proportionate to its initial size, leaving their growth rates independent of size. Using a relatively large and representative sample of approximately 2,500 Danish firms representing all industries, we have evaluated the validity of Gibrat’s Law over the period 1990–2004. The present analysis addresses this question by applying econometric methods to test Gibrat’s Law and correcting for problems related to autocorrelation. The empirical findings of our study do not generally support Gibrat’s Law, but in contrast to the results of earlier studies, the analysis reveals that firms’ growth rates are more likely to be positively related to firm size.

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Notes

  1. If any drift is present, the growth rate is not independent of firm size.

  2. This information is collected and organized by a private consultant company, Experian A/S.

  3. The data set spans the period 1990–2004 and, therefore, the regression in Table 5 for 1991 may be less valid compared to the 1995, 2000 and 2004 regression results as lower ‘growth dynamics’ may be present in the 1990–1991 part of the data set.

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Correspondence to Jan Bentzen.

Appendix

Appendix

Tables 4 and 5.

Table 4 Annual turnover: quantile regression estimates of β, Eq. 1: panel data 1990–2004
Table 5 Annual turnover: quantile regression estimates of β, Eq. 1: cross-section data

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Bentzen, J., Madsen, E.S. & Smith, V. Do firms’ growth rates depend on firm size?. Small Bus Econ 39, 937–947 (2012). https://doi.org/10.1007/s11187-011-9341-8

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