Mustangrusher :
My motherboard is a msi Z87-G43.
You are good.
You have the option to overclock if you want.
If your cpu cooler is the stock intel cooler, a modest oc is fine, but the cooler will spin up and get noisy.
If the builder installed any sort of aftermarket cooler, then you can do very well.
The key, though for a gaming pc is the graphics card.
The budget might effectively be 2x the cost of the cpu.