Over the recent years, both in finance and insurance, the modelling of dependence beyond linear correlation has become a key area of research. The notion of copula has been used with success in order to model these more general dependence concepts. We will discuss changes in dependence...

Both at the design stage as well as at the pricing stage of Alternative Risk Transfer (ART) products, the notion of low (zero) beta plays an important role. By now it is well known that for these non--standard products, the interpretation of dependence through linear correlation (and hence the...

As an emerging field of applied research, quantitative risk management (QRM) poses a lot of challenges for probabilistic and statistical modeling. This review provides a discussion on selected past, current, and possible future areas of research at the intersection of statistics and QRM. Topics...

Motivated by recent advances on elicitability of risk measures and practical considerations of risk optimization, we introduce the notions of Bayes pairs and Bayes risk measures. Bayes risk measures are the counterpart of elicitable risk measures, extensively studied in the recent literature....

We study issues of robustness in the context of Quantitative Risk Management and Optimization. We develop a general methodology for determining whether a given risk measurement related optimization problem is robust, which we call "robustness against optimization". The new notion is studied for...

We address the problem of risk sharing among agents using a two-parameter class of quantile-based risk measures, the so-called Range-Value-at-Risk (RVaR), as their preferences. The family of RVaR includes the Value-at-Risk (VaR) and the Expected Shortfall (ES), the two popular and competing...

We study risk sharing games with quantile-based risk measures and heterogeneous beliefs, motivated by the use of internal models in finance and insurance. Explicit forms of Pareto-optimal allocations and competitive equilibria are obtained by solving various optimization problems. For Expected...

This is a summary of the main topics and findings from the Swiss Risk and Insurance Forum 2017. That event gathered experts from academia, insurance industry, regulatory bodies, and consulting companies to discuss past and current developments as well as future perspectives in dealing with...