It will be worse than a PS4, you want system which is similar to PS4's Architecture and will surpass its raw power, I have put together two builds, select which one is within your budget.
Option 1 - $500 APU Gaming System
AMD A10-6800K
MSI FM2-A75MA-E35
Corsair Vengence LP 8GB 1866Mhz RAM
WD Blue 1TB 7200RPM HDD
Corsair 200R Case
Corsair CS 500W PSU
Windows 8.1
Total: $550 (Approx.)
The first build is based on the latest AMD Richland APU. The A10 6800K is a dual module/quad core unit with the previous generation VLIW4 graphics architecture. This combination can run most games at up to 1080P resolutions, but with much lower quality settings. Then again, when can a user adjust quality settings on a console? The FM2+ board will allow a user to upgrade to a Kaveri APU when those are released, or they will have the flexibility of purchasing a standalone graphics card that will likely outperform the latest generation of consoles for around the $150 mark.
The system comes with 8 GB of DDR3 memory at 1866 speeds, so it will not hinder the APU’s performance by any stretch of the imagination. It features a full 1 TB drive because most users will quickly fill up a 500 GB unit. The case is good sized and has ample cooling ability and room for upgrades. The 500 watt power supply will be able to handle any single standalone GPU offered, except perhaps units like the GTX 690 or HD 7990. It comes with Windows 8.1, which may or may not be a popular choice with users. Still, it has a lot of functionality built in, but any productivity software will have to be either bought or downloaded later.
The price ($549) is above the $499 mark of the Xbox One, and well above the PS4. Still, the overall functionality of the PC in terms of productivity, video encoding, communications, social interactions, and flexibility are unparalleled when it comes to consoles. It does fall down in terms of gaming against both consoles. This is an older graphics architecture comprising fewer stream units and a much slower main memory connection. It is a 128 bit memory bus running at DDR3 2133 speeds (around 34 GB/sec theoretical). It will not be able to outperform the console APUs in terms of graphics quality and performance, but the flexibility for the user in terms of other applications is a big draw. Gaming will be “good enough”, but it will not match this latest generation of consoles.
If there is one small (or large) drawback for this APU build, it is the lack of an optical drive. Adding a Blu-Ray drive will be around $50. This may or may not include bundled BD playback software (there there are free/open source applications around). For the average user who may not be comfortable in searching and installing these options, this could be a big drawback. While streaming services like Hulu and Netflex do a very good job, we still do not have the bandwidth requirements needed to stream high quality, high definition video with HD sound (like DTS-Master or Dolby TrueHD).
Option 2 - A Little More Money for a lot More Power
AMD FX-6300 CPU
MSI 970A-G43 AM3+ Motherboard
Corsair Vengence LP 8GB 1866Mhz RAM
Gigabyte Radeon R9 270X 2GB
WD Blue 1TB 7200RPM HDD
Corsair 200R
Corsair CX 600W PSU
Windows 8.1
Total: 780$ (Approx.)
Chose whichever you can.
Source: PC Prespective