A new PlayStation 4 jailbreak exploit is in the works. The exploit is for the console's firmware 5.05 and is highly anticipated due to its compatibility with newer titles like God of War.
https://www.notebookcheck.net/PS4-FW-5-05-kernel-exploit-finally-set-for-release-as-Sony-reveals-launch-date-for-the-PlayStation-5.304292.0.html