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Twice in my career I have asked for a raise in my year-end performance review. This would be my advice:
Gather as many statistics on salaries as you can. Understand what the industry average is for your position is in NYC. Next, put together a list of what you want to accomplish next year and go over that with you boss during the review. Don't outright ask for a raise. Towards the end of your review tell your boss you are interested in pursuing options within the company that give more responsibility and reward, and ask him/her what you can do over the next six months to prove you deserve it. If you are right about what they think of you, chances are your boss will give you a list of things to do. Finish all of them, and schedule another meeting six months from now showing you did everything discussed and ask for the raise then.
I have done this twice, and it worked both times. Good luck!
OP is a young guy. He should be going for a promotion, not just a raise.