Are for-profit colleges magical mobility machines?

In a recent working paper, Raj Chetty, John Friedman, Emmanuel Saez, Nicholas Turner, and Danny Yagan of the Equality of Opportunity Project investigate how different US colleges perform according to a metric that is of deep sociological interest: How many of their students came from families in the bottom quintile of the income distribution, yet managed to enter the top quintile by their early 30s? That is, which colleges and universities combined relatively broad access to underprivileged students with high rates of intergenerational mobility?