We study the impact of trade exposure on the job biographies of 2.4 million manufacturing workers in Germany. Rising export opportunities lead to two equally important sources of earnings gains: on the job and employer switches within the same industry. Highly skilled workers benefit the most. Import shocks mostly hurt low-skilled workers, especially when they possess lots of industry-specific human capital. They also destroy workers’ rents when separating from high-wage plants, and they leave strongly scarring effects in the event of a mass layoff. We connect our results to the growing theoretical literature on the labor market effects of trade.

We study the optimal design of student financial aid as a function of parental income. We derive optimal financial aid formulas in a general model. We estimate a model of selection into college for the United States that comprises multidimensional heterogeneity, endogenous parental transfers, dropout, labor supply in college, and uncertain returns. We quantify optimal financial aid in the estimated model and find it is strongly declining in parental income even without distributional concerns. Equity and efficiency go hand in hand.