I agree with Mental, but when mantle releases we might see a performance increase that would cause some of the lower end cards to perform in battlefield 4, at the resolution and settings that you want.
For now I have a build that goes a little over, (this is assuming you have peripherals and live in the US).PCPartPicker part list
/ Price breakdown by merchant
/ BenchmarksCPU: AMD FX-6300 3.5GHz 6-Core Processor
($109.99 @ Amazon)Motherboard: MSI 970A-G43 ATX AM3+ Motherboard
($39.99 @ Newegg)Memory: Crucial Ballistix Sport 8GB (1 x 8GB) DDR3-1600 Memory
($54.99 @ Newegg)Storage: Western Digital RE3 1TB 3.5" 7200RPM Internal Hard Drive
($54.94 @ Amazon)Video Card: MSI Radeon R9 280X 3GB Video Card
($306.98 @ SuperBiiz)Total:
$566.89(Prices include shipping, taxes, and discounts when available.)(Generated by PCPartPicker 2013-11-22 01:39 EST-0500)
Not sure about the motherboard, that is not really my thing, probably someone else can chime in on that, but this is probably something that would play the game close to what you want.
But even this is a little minimal, you might want to put on an aftermarket cooler, and it would be helpful if you told us what your PSU was, so we can determine if it will be adequate. Also how big a motherboard can your case support?
You can see in these benchmarks
that the 280x is just below 60, but with an overclock it breaks 60
. I am assuming that you are new to overclocking as well, but don't worry you can find a guide on how to overclock your specific card or ask questions about it here.
When Mantle comes out you could see a performance increase that would play this game far above 60 or just above it, we don't know, but in december we will find out. Like I was saying some lower end GPUs like the 270x could play the game at ultra after mantle but we will have to wait and see.
Edit: Made the card MSI because they have the free bf4 thing that you were wondering about, http://www.msi.com/product/vga/R9-280X-GAMING-3G-BF4.html#overviewEdited by Lubed Up Slug - 11/21/13 at 10:42pm