Sony Worldwide Studios president Shuhei Yoshida took to Twitter to confirm that Sony are working on their own official streaming solution for PS4 and PC/Mac. This after an unofficial app appeared to allow streaming from PS4 to PC a few days ago.
"Some people asked if we plan to provide Remote Play function to PC, and yes, we are indeed working on an official application for PC/Mac. :D"
There you have it. And as you may know this feature is available with Xbox One and Windows 10 powered PCs already.