Modern Problems in Insurance Mathematics

This book is a compilation of 21 papers presented at the International Cramér Symposium on Insurance Mathematics (ICSIM) held at Stockholm University in June, 2013. The book comprises selected contributions from several large research communities in modern insurance mathematics and its applications.

The main topics represented in the book are modern risk theory and its applications, stochastic modelling of insurance business, new mathematical problems in life and non-life insurance and related topics in applied and financial mathematics.

The book is an original and useful source of inspiration and essential reference for a broad spectrum of theoretical and applied researchers, research students and experts from the insurance business. In this way, Modern Problems in Insurance Mathematics will contribute to the development of research and academyindustry co-operation in the area of insurance mathematics and its applications.

Provides a self-contained and easy-to-read introduction to first-order logic and model theory Presents the essential aspects of model theory needed to understand model theoretic algebra Includes interesting and profound applications of model theory to algebra, such as a complete proof of Ax and Kochen's work on Artin's Conjecture about diophantine properties of p-adic number fields Includes supplementary material: sn.pub/extras

Inhalt
International Cramer Symposium on Insurance Mathematics.- Harald Cramer and Insurance Mathematics.- 100 Years of the Scandinavian Actuarial Journal.- A Note on GerberShiu Functions with an Application.- Improved Asymptotics for Ruin Probabilities.- Exponential Asymptotical Expansions for Ruin Probability in a Classical Risk Process with Non-Polynomial Perturbations.- Asymptotics of Ruin Probabilities for Perturbed Discrete Time Risk Processes.- Coherent Risk Measures under Dominated Variation.- Estimation of the Ruin Probability in Infinite Time for Heavy Right-Tailed Losses.- A Simulation-Based ALM Model in Practical Use by a Norwegian Life Insurance Company.- Predicting Future Claims Among High Risk Policyholders Using Random Effects.- Disability Insurance Claims Study by a Homogeneous Discrete Time Alternating Renewal Process.- Analysis of the Stochasticity of Mortality Using Variance Decomposition.- The Impact of Stress Factors on the Price of Widow's Pensions.- The Design of an Optimal Bonus-Malus System Based on the Sichel Distribution.- Bonus-Malus Systems in Open and Closed Portfolios.- Large Deviations for a Damped Telegraph Process.- Probabilistic Choice with an Infinite Set of Options an Approach Based on Random Sup Measures.- Generalisation of the Damping Factor in PageRank for Weighted Networks.- Asian Options, Jump-Diffusion Processes on a Lattice and Vandermonde Matrices.- Option Pricing and CVaR Hedging in the Regime-Switching Telegraph Market Model.