Swiss Re said its own loss from the disaster could total 200 million dollars before tax.
"The company expects the total insured market loss from this event to be in the range of $1.5 billion to $3.5 billion," the company said in a statement.
"However, as the situation is still unfolding and involves significant uncertainties, the ultimate loss is hard to predict and therefore estimates may be subject to change," it added.
The figure does not include uninsured losses.