6533b827fe1ef96bd1286679
RESEARCH PRODUCT
A Cross-Sectional Analysis of Growth and Profit Rate Distribution: The Spanish Case
David Vidal-tomásAlba Ruiz-bufornOmar Blanco-arroyoSimone Alfaranosubject
business cycleasymmetric exponential power distributionGeneral MathematicsComputer Science (miscellaneous)Laplace distributiongrowth ratesfirm sizeUNESCO::CIENCIAS ECONÓMICASprofit rates; growth rates; firm size; business cycle; Laplace distribution; asymmetric exponential power distributionprofit ratesEngineering (miscellaneous)description
We analyse the time evolution of the empirical cross-sectional distribution of firms’ profit and growth rates. In particular, we analyse the conditional properties of the empirical distributions depending on the size of the firms and the business cycle phase. In order to do so, we employ the Laplace distribution as a benchmark, further considering the Subbotin and Asymmetric Exponential Power (AEP hereafter) distributions, to capture the potential asymmetry and leptokurtosis of the empirical distribution. Our results show that the profit rates of large firms are characterised by an asymmetric Laplace distribution with parameters largely independent of the business cycle phase. Small firms, instead, are characterised by the AEP distribution, which accounts for the conditional dependence of distribution on the phase of the business cycle. We observe that the largest firms are more robust to downturns compared to the small firms, given their invariant distributional characteristics during crisis periods.
year | journal | country | edition | language |
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2022-03-14 | Mathematics; Volume 10; Issue 6; Pages: 926 |