Trade and Inequality: From Theory to Estimation

While neoclassical theory emphasizes the impact of trade on wage inequality between occupations and sectors, more recent theories of firm heterogeneity point to the impact of trade on wage dispersion within occupations and sectors. Using linked employer-employee data for Brazil, we show that much of overall wage inequality arises within sector-occupations and for workers with similar observable characteristics; this within component is driven by wage dispersion between firms; and wage dispersion between firms is related to firm employment size and trade participation. We then extend the heterogenous-firm model of trade and inequality from Helpman, Itskhoki, and Redding (2010) and structurally estimate it with Brazilian data. We show that the estimated model fits the data well, both in terms of key moments as well as in terms of the overall distributions of wages and employment, and find that international trade is important for this fit. In the estimated model, reductions in trade costs have a sizeable effect on wage inequality.