>>Harvard and Yale would never use their funds to benefits students. They could give every student free tuition if they wanted but won’t.<<
I refer you to my FRiend muawiyah, who says otherwise.
Check it out on Snopes if you want ~ under Harvard Tuition Hoax ~ there's no hoax here but some people don't understand what's going on.
Yale does something similar, particularly for outstanding graduate students they recruit, and a buddy of mine whose wife is an instructor at M.I.T. says it's the same there. Princeton, Brown, Columbia ~ all of them do that.