Since you are specifically targeting GTA V to play, I would go with the i5-4690k and a z97 motherboard and overclock. GTA V scales well with cpu.
This means you would want after market cooling as well.
This is like the best scenario for GTA V and costs the most. $360 if you go with a cheap cooler like the cm hyper 212 evo.
230$ for cpu
100$ for z97 motherboard
30$ for Cm hyper 212 evo
I wouldn't bother upgrading to amd, you could go for an i5-4460 with an h97 motherboard. This would still probably run around $260. $180 cpu and $80 motherboard.