The calculation of a fair premium is always a challenging topic in the real world insurance applications. In this paper, a nonlinear premium-reserve (P-R) model is presented and the premium is derived by minimizing a quadratic performance criterion. The reserve is a stochastic equation, which...

Planar Maximally Filtered Graphs (PMFG) are an important tool for filtering the most relevant information from correlation based networks such as stock market networks. One of the main characteristics of a PMFG is the number of its 3- and 4-cliques. Recently in a few high impact papers it was...

The premium pricing process and the reserve stability under uncertainty are very challenging issues in the insurance industry. In practice, a premium which is sufficient enough to cover the expected claims and to keep stable the derived reserves is always required. This paper proposes a premium...