BS; their endowment fund has billions. They just won’t spend it. There is no reason for their tuition to be where it is.
In fairness, Harvard provides financial aid to almost 70% of undergraduates. Of those undergraduates, the median payment for tuition, room and board, books, and travel by families receiving financial aid is a little less than $15,000 per year. Median financial aid from Harvard is currently about $45K per year.
Financial aid at Harvard doesn't phase out completely until family income is nearly a quarter million dollars per year.
Families with income of $65,000 or less, their kids go free, save for the required summer work/term-time work study for each student (each student must work to contribute roughly $5,000 per year to his education, unless his family is very poorly-off, and he must contribute his earnings to his family).
The sticker price of about $60K per year (tuition, room and board, books, travel, misc. expenses) only applies to folks making about $250K per year, or who have substantial financial assets outside of retirement accounts.