Hey nightwing18,
I can configure a custom-built desktop for you and I'll list out the price, which will include shipping.
(http://www.ibuypower.com/Store/Gamer-Mage-D295/W/231936) - $899.00, shipping included.
This build includes a FX-8320 and a 270X, which should run BF4 at 60-70FPS on ultra settings (https://www.youtube.com/watch?v=kYEbB1n3cyY).
The video above shows a build similar to this with the performance I mentioned. The FPS in the video is shown in the top right hand corner.
Let me know if you have any questions or would like a different recommendation/budget desktop!