It's 300K, or about $1,000 a month for 25 years to have the pleasure of living in NYC for 46 months. Don't get me wrong, I know that I will have more luck convincing a rock to do my taxes than convincing a hardcore New Yorker that life exists west of the Hudson, but this is a lot of money, especially if the OP wants to settle down and build a life in an expensive state.
Nah, no problem convincing me. I live in California now!
It's heresy to admit this, but I don't miss it one bit any more, although I did for a long while. But it's still a great place to be a medical student for 4 years.
I agree that 150k is a significant amount of money, and your numbers are accurate so far as they go. However, OP will probably be able to pay off his loans in 5 years or less if he tries. If not, with PAYE and REPAYE, the effective interest rate on loans is about 2-3% or less, and that's not counting the fact that inflation will decrease the value of the future payments.
I may be repeating myself, but at Mt. Sinai, you're getting a top school, with a recognizable name,
and a wonderful place to live. I would gladly pay 150k extra, plus interest, for that experience.
I lived and worked in Manhattan, and now I live in Silicon Valley. ( Neither place was part of a plan, but it just worked out that way ) I have paid a lot, and continue to pay a lot, for the privilege of living in two of the nicest places in the world, and despite that, I managed to become very comfortable financially. The extra expense was money was well spent, as far as I'm concerned, and I have no plans on moving, despite the fact that I pay a lot in state taxes for the privilege. Obviously, reasonable people can differ as to the value of living in certain areas. I'm just passing on my experience and opinion, as are you.