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. For a simple model version, we derive mild conditions on primitives under which poorer students receive more aid even without distributional...

We characterize intergenerational mobility in Germany using census data on educational attainment and parental income for 526,000 children. Our measure of educational attainment is the A-Level degree, a requirement for access to university. A 10 percentile increase in the parental income rank is...