The Munich chain-ladder reserving method was introduced on an axiomatic basis. We analyze these axioms and we define a modified Munich chain-ladder reserving method which is based on an explicit stochastic model. This stochastic model then allows to consider claims prediction and prediction...

We give a rigorous definition of best-estimate reserves for insurance liabilities in a general multiperiod financial market setting. In this general multiperiod financial market setting we describe payoff spaces and optimal dynamic hedging strategies. Based on this optimal dynamic hedging...