Increases in the minimum wage can substantially reduce earnings inequality. To demonstrate this, we combine administrative and survey data with an equilibrium model of the Brazilian labor market. We find that a 128 percent increase in the real minimum wage in Brazil between 1996 and 2018 had far-reaching spillover effects on wages higher up in the distribution. The increased minimum wage accounts for 45 percent of a large fall in earnings inequality over this period. At the same time, the effects of the minimum wage on employment and output are muted by reallocation of workers toward more productive firms.. (JEL D31, E23, E24, J31, J38, O15)

We use administrative US matched employer-employee data merged with detailed information on individuals' academic records to assess the extent to which returns to education are mediated by the sorting of workers across firms. We present three results. First, we confirm findings in the earlier literature of large pay differences across higher education degrees. Second, we show that up to one quarter of pay premiums for higher degrees are explained by between-firm pay differences. Third, higher degrees are associated with greater representation at the best-paying firms. We conclude that employer heterogeneity is an important factor in mediating the returns to education.

Using linked employer-employee data from Brazil, we document a significant gender pay gap, which is largely attributed to women working at lower-paying employers. To interpret this fact, we develop an equilibrium search model with endogenous firm pay, amenities, and hiring. We provide a constructive proof of identification of all model parameters. The estimated model suggests that amenities are important for both men and women, and that compensating differentials account for half of the gender pay gap. Equal treatment policies partly close gender gaps but are not output- or welfare-improving. (JEL E24, J16, J23, J31, J32, M51, O15)