You might be able to get by with $500 but it would have to be strictly be a mining rig.
So let's say you go with a 270x-
R9 270x - $250
MSI Mobo - $100
4GB HyperX Ram- $40
Corsair cx600 PSU -$60
AMD Athlon II x2 270 CPU - $70
Based on the prices I saw, I slightly overpriced each to provide a little headroom.
This does not include a hdd, OS, or peripherals.
Also, keep in mind that prices change and there can be cheaper alternatives but at the cost of reliability and performance.
So we are looking at around $500 minimum for a rig that should mine around 200 goldcoins daily (in theory it should be closer to 250 but nothing is perfect).