The entire internet infrastructure (backbone routers, etc.) is already using IPv6, so the cost of implementing IPv6 is, by now, entirely on the end-site side.
You should also include a number of additional cost of reassignment, including growth of routing table size.
I'm sorry to inform you that apparently your ISP, your workplace and your university are all either lazy, lying, or both. Implementing IPv6 takes, maybe, a few weeks if you have many servers and a large internal network. If all you have is a webserver which you want to be reachable by IPv6-only customers, an interim solution (tunnel) can be implemented in a few minutes.
You should also include a number of additional cost of reassignment, including growth of routing table size.
I'm sorry to inform you that apparently your ISP, your workplace and your university are all either lazy, lying, or both. Implementing IPv6 takes, maybe, a few weeks if you have many servers and a large internal network. If all you have is a webserver which you want to be reachable by IPv6-only customers, an interim solution (tunnel) can be implemented in a few minutes.