Who the fuck would bother to compare the cost of a gaming laptop to the cost of a console? Paying a premium for portability isn't a cost effective solution.

And a quick check puts your PS4 at around 299 pound. Which is reflective of the fact that they are around 50 pound discount on a few websites. So, 350 pound without games.

For the game packages (4 or 5 games included) you'll spend somewhere around 430 pound.

So even if you get the game bundle to potentially save on individual titles, you'll still pay another 40 pound on a year of PSN.

So you're already back up to around 500 pound. But that would be a reasonable starting point.

So after a quick adjustment to a PC Part Picker build to include mouse and keyboard and OS, there's no reason you would opt for an almost already obsolete closed platform with limited and dictated functions.

PCPartPicker part list / Price breakdown by merchant

The only thing lacking here are the games. But you'll have no trouble finding something to play at a very reasonable price not to mention the benefits of versatility and functionality.

You can even use your existing television!