Utility Indifference Pricing of Insurance Catastrophe Derivatives
  We propose a model for an insurance loss index and the claims process of a single insurance company holding a fraction of the total number of contracts that captures both ordinary losses and losses due to catastrophes. In this model we price a catastrophe derivative by the method of utility indifference pricing. The associated stochastic optimization problem is treated by techniques for piecewise deterministic Markov processes. A numerical study illustrates our results. 
Andreas Eichler, Gunther Leobacher, Michaela Sz\"olgyenyi
q-fin.PR math.OC math.PR q-fin.MF