Cory Doctorow recently cited this article which talks about how insurance is a terrible instrument for mitigating climate risk. The standard neoliberal patter on this runs that insurance will send a price signal that steers investment away from environmentally damaging activity and towards adaptive responses.
One problem with this is that the people doing the damage are not necessarily (or even likely to be) the people who will experience the worst of its' effects, so this will do little to prevent investment in — for instance — fossil fuel extraction. In fact, you'll likely see investment flowing away from the uncertain business of keeping populations alive and secure, and directed towards digging up minerals and sludge.