Steps to increase download speed on PlayStation 4
Press PlayStation Button
In the Settings menu, Choose Network > Set Up Internet Connection
Then choose your preferred set-up i.e. either Wifi or LAN Cable
Then select Custom > Manual
In the DNS settings you will have to enter either custom settings i.e. if you have any preferred values for IP Address, Subnet Mask, Default Gateway, etc enter them, or go for Easy.
For the Manual DNS settings enter the following Primary and Secondary DNS server address:

Google's DNS Address
Primary: 8.8.8.8
Secondary: 8.8.4.4

OpenDNS Address
Primary: 208.67.222.222
Secondary: 208.67.220.220

This actually works tried it last night