Time-consistent valuations (i.e. pricing operators) can be created by backward iteration of one-period valuations. In this paper we investigate the continuous-time limits of well-known actuarial premium principles when such backward iteration procedures are applied. This method is applied to an...

Rapid advances in Artificial Intelligence and Machine Learning are creating products and services with the potential not only to change the environment in which actuaries operate, but also to provide new opportunities within actuarial science. These advances are based on a modern approach to...

The aim of this manuscript is to provide the mathematical and statistical foundations of actuarial learning. This is key to most actuarial tasks like insurance pricing, product development, claims reserving and risk management. The basic approach to these tasks is regression modeling. This...

Anthony v. United States is the most recent circuit court ruling on the section 7520 mandate to use the actuarial tables to value annuities in the decedent's estate. The article discusses Anthony as well as the lottery cases (Shackleford, Gribauskas, and Cook)

One of the most important risks in the actuarial industry is the longevity risk. The accurate prediction of mortality rates plays a crucial role in the management of the aforementioned risk. Such predictions are performed by modelling the mortality rates using mortality models. Aiming at...

1. Introduction -- 2. Bayesian Statistical Analysis -- 3. Computational Aspects of Bayesian Analysis -- 4. Prediction with Parameter Uncertainty -- 5. The Credibility Problem -- 6. The Hierarchical Bayesian Approach -- 7. The Hierarchical Normal Linear Model -- 8. Examples -- 9. Modifications to...