Natural hedging in long-Term care insurance
We investigate the application of natural hedging strategies for long-term care
(LTC) insurers by diversifying both longevity and disability risks affecting LTC
annuities. We propose two approaches to natural hedging: one built on a multivariate
duration, the other on the Conditional Value-at-Risk minimization of
the unexpected loss. Both the approaches are extended to the LTC insurance
using a multiple state framework. In order to represent the future evolution of
mortality and disability transition probabilities, we use the stochastic model of