premia, which take into account risk fluctuations. Using stochastic control theory based on the Hamilton … by a marked point process with dual-predictable projection affected by an environmental factor and that the insurance … company can borrow and invest money at a constant real-valued risk-free interest rate r. Our model allows for stochastic risk …

Decision-makers who usually face model/parameter risk may prefer to act prudently by identifying optimal contracts that … solved. Numerical experiments are run for various risk preference choices and it is found that for relatively large sample … the modeler puts on the tail risk when defining its objective function. These findings suggest that one should be very …

We consider an insurance company whose risk reserve is given by a Brownian motion with drift and which is able to … with other risk measures, exponential utility and the probability of ruin. Following recent research, we assume that …

Pareto optimal allocations and optimal risk sharing for coherent or convex risk measures as well as for insurance … applying inf-convolution of risk measures and convex analysis.In the recent literature, an increasing interest has been devoted … to quasiconvex risk measures, that is risk measures where convexity is replaced by quasiconvexity and cash-additivity is …