We explore the optimal progressivity of the income tax system in an incomplete-markets model. Agents value private and public consumption and leisure, and are heterogeneous with respect to innate ability, idiosyncratic shock histories, and preferences. This heterogeneity generates a potential...

We document a strong negative relation in the United States between wealth and aggregate volatility. For example the 1970s and the late 2000s were periods of low asset values and high volatility. The early 1960s and the Great Moderation of the 1980s and 1990s were periods of high asset values...