Picking decent hardware from newegg.com you can build a decent gaming PC (minus software) for about $500, the PS4 is $400 at newegg.com.
That includes a quad-core AMD APU, FM2 motherboard, 4GB DDR3 memory, 1TB HDD, nice case, 500w quality PSU and a GeForce GTX 960. That system would smoke the Xbox One and Playstation 4 and you could play Hardline at 1080p no worries as it should be at least 40% faster than the PS4.
Of course you have to factor in the cost of Windows if you want to go that way plus a keyboard and mouse. That said you will end up with a much more capable and useful system so the added cost should be worth it.