In the last years the role of mathematical methods in the general insurance business became more important. Therefore we try to provide students with mathematical and statistical tools necessary to answer questions about modelling insurance risks, developping tariff models, optimizing reinsurance or estimating sufficient claims provisions. Basic knowledge in probability theory and statistics is advantageous.

the collective model: - claim number models - claim size distributions - compound claim distribution the individual model: - the poisson model - the gamma model - dependency of expected values and variances tariff models: - premium calculation - deterministic models - stochastic models - bonus/malus-systems and credibility theory reserving models: - deterministic models - stochastic models reinsurance: - large claims and extreme value theory - types of reinsurance contracts - pareto-optimal reinsurance

oral exam

Thomas Mack, "Schadenversicherungsmathematik", DGVM 28, 1997