Mathematical Models of Reinsurance

Simulation of Pedestrian Dynamics with Macroscopic and Microscopic Mathematical Models

Here, we collect two parts of a research project on the pedestrian flow modeling. Rapid growth in the volume of public transport and the need for its reasonable, efficient planning have made the description and modeling of transport and pedestrian behaviors as important research topics in the past twenty years. First, we present a macroscopic model for the pedestrian flow based on continuum mec...

Optimal Reinsurance / Investment Problems for General Insurance Models

In this paper the utility optimization problem for a general insurance model is studied. The reserve process of the insurance company is described by a stochastic differential equation driven by a Brownian motion and a Poisson random measure, representing the randomness from the financial market and the insurance claims, respectively. The random safety loading and stochastic interest rates are ...

Reinsurance Rate-making with Parametric and Non-parametric Models

Forms of Reinsurance

Reinsurance plays an important role in reducing the risk in an insurance portfolio. In this article we give an overview of the most relevant classical reinsurance concepts from a practical point of view. We will explain how the different forms of reinsurance affect the stability of insurance portfolios.

Mathematical Models of Branching