New insurance premiums were just released and the difference is staggering. Expect another $500 tacked onto every charter. Of course with barely half the fleet likely this season competition will likely drive all companies prices higher soon enough.
Insurance companies use major disasters as an excuse to raise rates. They make back the money they paid out on losses and then keep rates high for as long as possible after to keep profits high. Eventually competition comes back into the market and rates go down. Expect rates to normalize in 4-5 years absent a major storm.