Here is a PC that I built for a friend as a his first PC. I don't know for sure, but this could play Battle Field 4 at high settings around 40-50 FPS, just to give an idea of the power. The price does not include the OS, but you could find deals for windows 8, and get the windows 10 pre-release.
The parts list,
Prices and availability may vary, many of these things can be changed to suite your prefrences
-AMD FX-3600 :~: 6 cores, 3.5GHz :~: $80
-EVGA Nvidia gtx 750ti :~: 2gb gddr5 ram :~: $130
-A-Data XPG V2 :~: 2x4gb of ram, DDR3-2400 :~: $85
-Gigabyte GA_970A-D3P :~: AM3+, USB 3.0 :~: $80
-Western Digital Black :~: 3.5" hard drive, 7200RPM :~: $70
-NZXT Phantom 410 :~: ATX, Mid tower, USB 3.0 :~: $90
-Corsair CSM 450W :~: 80+ Gold Certified, semi-modular :~: $60
~~:Optional
-Crucial MX100 :~: 128gb, 2.5" SSD recommended :~: $70
-Cooler Master Hyper 212 EVO :~: CPU cooler recommended :~: 35
-LG UH12NS30 :~: Blu-Ray,DvD,CD reader writer
Price with optional items~$660
Price WO. optional items~$525
If you are a lazy person (like me) then feel free to use this link
http://pcpartpicker.com/p/vRwBxr
To a site that shows all of these parts to build a pc like this
Hope you like this build, and feedback is much appreciated,
AVRINGO