http://pcpartpicker.com/p/Tr94YJ
Hello, this will play battlefield 4 good enough for that budget, you may see 40 to 60fps on 900p resolution with high settings.
It's 410 including OS, you have to go to a local shop to buy the tower you want + DVD Writer + mouse and keyboard.
I would say 20$ for tower, 10$ for keyb/mouse and 18$ for DVD-RW.
Total around 458.
Good luck with that since it is a very tight budget.
Oh man I forgot the HDD!, you will need 50$ more for a hard drive :/ try to stretch a bit, or you will need to change the 260X for a 750 and buy a Case with one integrated PSU 450W+.