Suggest a build that can run Dota 2 and bf4 in 60fps (stable)

[Ronan Santos]

I have only $560
I also need a monitor
And a avr

 

[i7Baby]

For $560 including monitor you're not going to get much. It leaves you about $400. You don't say play in what resolution and with what detail.

My suggestion is to save a bit more.