Gibrat's law test on Brazilian commercial banks

Resumen

In recent years, Brazil has been one of the countries with the biggest changes in the banking sector. The process of deregulation that began in 2002 has entailed the increase of the presence of foreign banking and the increase of competition, among other aspects. In this context, the objective of this study consists in contrasting Gibrat's Law in the Brazilian commercial banking during the period of 2002–2013 with the objective of contributing with evidence for the construction of a growth model for banking that will guide the financial policy of the country. For this, the quartile regression methodology is utilized, since we consider that it analyzes the relation between growth and the size of the entities more thoroughly than the empirical contrasts given by previous empirical evidence. The results obtained indicate that there is a non-linear relation in an inverted U form between growth and size in the Brazilian commercial banking. These results allow us to affirm that the relative dispersion of the sizes of the financial entities will tend to decrease in time and with this, the concentration of the sector.