HCC has said that anticipated gross claims from Hurricane Wilma are estimated at $30m.
The company said the claims arise from aviation, property and other specialty lines of business.
It added that the net loss after reinsurance and including reinsurance reinstatement costs is estimated at $13m after tax.
Stephen L. Way, chairman and chief executive officer, said: "Although Wilma is not the magnitude of Katrina, it is the third major hurricane loss this year and should have a profound effect on rates in many of our specialty lines of business.
"It is time for the industry to recognize the size and the frequency of the catastrophe events that it has to cover and charge appropriate premiums to pay for them."