"On graduation, many members of America’s future elite will head for the law firms, banks and consultancies where starting salaries are highest."
Here are some more explicit articles on the phenomenon:
http://www.theatlantic.com/business/archive/2015/07/rich-peo...
http://www.telegraph.co.uk/news/uknews/11763836/Wealthy-pare...
http://www.nytimes.com/2015/12/18/upshot/rich-children-and-p...
If you'd like to read a study on it ("Poor Little Rich Kids? The Determinants of the Intergenerational Transmission of Wealth"), you can do so here:
Here's another from Pew:
http://www.pewtrusts.org/~/media/assets/2015/07/fsm-irs-repo...
If you want more information, google "social mobility united states", "intergenerational mobility united states", and read "Twilight of the Elites" and "The Son also Rises."