Welfare Analysis of Changing Notches: Evidence from Bolsa Família

We develop a framework to bound the welfare impacts of arbitrarily large reforms to notches using two sufficient statistics: the change in the number of households located below the new notch and the change in the number of households located below the old notch. Our bounds hold in a wide class of models, highlighting a new way to use reduced-form bunching evidence for welfare analysis without making strong assumptions on the economic environment. We estimate these two statistics using a difference-in-difference strategy for a reform to the antipoverty program Bolsa Família, finding that the reform’s MVPF is between 0.90–1.12. (JEL D12, D91, H83, I32, I38, O12)