This setup will stream perfectly. It's cheap af and will probably break within a couple years, but it WILL stream perfectly. BTW with this GPU you'll probably need a splitter for VGA or DVI. I don't know really.
PCPartPicker part list / Price breakdown by merchant
CPU: AMD FX-6300 3.5GHz 6-Core Processor ($97.46 @ Amazon)
Motherboard: MSI 760GM-P23 (FX) Micro ATX AM3+ Motherboard ($43.29 @ Amazon)
Memory: A-Data XPG V2 8GB (2 x 4GB) DDR3-1866 Memory ($51.99 @ Newegg)
Storage: Seagate Barracuda 500GB 3.5" 7200RPM Internal Hard Drive ($36.00 @ Amazon)
Video Card: Asus Radeon R7 240 2GB Video Card ($49.99 @ Micro Center)
Case: Thermaltake VL80001W2Z ATX Mid Tower Case ($21.99 @ Micro Center)
Power Supply: Corsair Builder 430W 80+ Bronze Certified ATX Power Supply ($22.49 @ Newegg)
Monitor: Hannspree HL161ABB 15.6" Monitor ($65.99 @ SuperBiiz)
Monitor: Hannspree HL161ABB 15.6" Monitor ($65.99 @ SuperBiiz)
Keyboard: Cooler Master CM Storm Devastator Gaming Bundle Wired Gaming Keyboard w/Optical Mouse ($26.99 @ NCIX US)
Other: Logitech C270 ($23.00)
Total: $505.18
Prices include shipping, taxes, and discounts when available
Generated by PCPartPicker 2015-04-20 13:37 EDT-0400