No, it will stay, since a lot of projects are written in it, also new ones. It will stay "forever" like C or C++.
The main migration argument I see is usually along the lines of "50% of all COBOL progammers today will be DEAD by 2025!"
Rather than about technical/financial merit (anyone willing to migrate on those grounds, and believed it was even possible for their infra, will have already done so)