This paper provides general and empirically implementable sufficient statistics formulas for optimal nonlinear tax systems in the presence of across-income heterogeneity in preferences, inheritances, income-shifting capabilities, and other sources. We study unrestricted tax systems on income and...

"In 1997 Chancellor Kohl proposed a major pension reform and pushed the law through Parliament explaining that the German PAYG system had become unsustainable. One limitation of the new law -- one that is crucial for our identification strategy -- is that it left the generous pension...