"Traditional techniques for calculating outstanding claim liabilities such as the chain ladder are notoriously at risk of being distorted by outliers in past claims data. Unfortunately, the literature in robust methods of reserving is scant, with notable exceptions … we put forward two alternative robust bivariate chain-ladder techniques to extend the approach of Verdonck and Van Wouwe (2011)."
"Sustainable insurance is aimed primarily at developing innovative or green products and services, reducing risk, improving company efficiency, and supporting environmental, social, and financial sustainability."
"The sensitivity measures are illustrated using numerous examples, including the Ishigami--Homma test function and applications to a non-linear insurance portfolio."
"The growing sophistication of insurance pricing, particularly for property-casualty insurance and reinsurance risk, has created a proliferation of approaches used in practice. Even within firms, pricing methodologies can vary from line to line, ranging from simplistic expected loss ratio targets to sophisticated return on capital models and even more sophisticated probability transform methods."
" In quantifying the solvency capital requirement gradient for cyber risk measurement according to Solvency II, a dangerous paradox emerges: an insurance company can be ranked as solvent according to Pillar 1 without adequately evaluating the operational solvency capital requirements under Pillar 2. "
"The methodologies examined include filtered historical simulation, extreme value theory, Monte Carlo simulation and historical simulation. Autoregressive-moving-average and generalized-autoregressive-conditional-heteroscedasticity models are used to estimate VaR."
"The empirical evidence suggests that a distribution based on a single copula is not flexible enough, and thus we model the dependence structure by means of vine copulas. We show that the approach based on regular vines improves the fit. Moreover, even though losses corresponding to different event types are found to be dependent, the assumption of perfect positive dependence is not supported by our analysis. "
"The standard statistical approaches to assessment of insurability and potential mispricing are enhanced in several aspects involving consideration of model risk … We demonstrate how to quantify the effect of model risk in this analysis by incorporating various robust estimators for key model parameter estimates that apply in both marginal and joint cyber risk loss process modelling."
"... we do not find a distinct pattern between the frequency of events, the loss severity, and the number of affected records as often alluded to in the literature. We also analyse the severity distribution of cyber related events across all risk categories and business sectors. This analysis reveals that cyber risks are heavy-tailed, i.e., cyber risk events have a higher probability to produce extreme losses than events whose severity follows an exponential distribution. Furthermore, we find that the frequency and severity of cyber related losses exhibits a very dynamic and time varying nature."
"Insurers are faced with a lack of consumer trust in whether premiums are established in an objective and fair manner and that claims are adequately dealt with and paid without delay. In trying to balance between consumers interests and business interests there is a risk that insurers will go too far using personal data and increasingly automated decision-making crossing the line between what is still legal and ethical."