This is really the kind of thing you'd get a local agent to do for you. As an NYC agent, my database shows me historical rental prices downtown, but I have no idea if you're interested in the price of a one-bedroom or of a four-bedroom.
I also have no idea if you're renter or a landlord (or landlady). If you're a landlord, any agent will be happy to tell you what your place should rent for in exchange for the ability to show the apartment, because that agent can then charge a fee and make some money on the deal.
If you're a renter and want to make sure you're not being overcharged, start with a full-service doorman building in the area such as 2 Gold -- where one-bedrooms are going for from $3,200 to $3,400 a month -- and then compare what you're looking at in terms of size, amenities, etc. I'm sorry I can't be more specific, but since the inventory ranges from old-style lofts with video intercom security to new doorman condos, I can't price it without telling what building and unit you're talking about.
author, "Diary of a Real Estate Rookie"
Insider Real Estate Tips with a Twist of Humor: http://tinyurl.com/2ag28z