My budget is 250$
I don't know what is the best FPS for this resolution and what is the different between 60 fps and 200 fps when you have a monitor that support 60 fps.
Video Card:Sapphire Radeon R9 270X 2GB Video Card ($215.38 @ Newegg) Total: $215.38 (Prices include shipping, taxes, and discounts when available.) (Generated by PCPartPicker 2014-03-30 08:39 EDT-0400)
At that resolution wouldn't an R7-265 be more than adequate for BF4?
It's also listed on newegg (sites down at the moment or I would link it) for about $ 60.00 less.