Is the cost of attending NYU really worth it?

So my parents and I are in a pretty bad pickle, as with a good amount of other students who got admitted to NYU I assume. Right now my choices are NYU, BU, and Stony Brook. I personally really want to go to NYU because I've always wanted to live in New York City and attend school there, but with the tuition of Stony Brook being nearly four times less per year, my parents are considering otherwise.

Is attending NYU as an Undergraduate really worth it?