In this paper, the individual claim reserving model proposed by Pigeon et al. (2013) is extended to include paid and incurred data. Analytic expressions are derived for the expected ultimate losses, given observed development patterns. The usefulness of this new model is illustrated using a...

For lifelong health insurance covers, medical inflation not sufficiently incorporated in the level premiums determined at policy issue requires an appropriate increase of these premiums and/or of the corresponding reserves during the term of the contract. This premium and/or reserve update is...

In general insurance, the evaluation of future cash flows and solvency capital has become increasingly important. To assist in this process, the present paper proposes an individual discrete-time loss reserving model describing the occurrence, the reporting delay, the time to the first payment,...

This paper proposes a practical way for ex-post indexing of level premiums in lifelong medical insurance contracts, in order to take into account observed medical inflation. We show that ex-post indexing can be achieved by considering only premiums, without explicit reference to reserves. This...

This paper offers a systematic treatment of risk-sharing rules for insurance losses, based on a list of relevant properties. A number of candidate risk-sharing rules are considered, including the conditional mean risk-sharing rule proposed in Denuit and Dhaene (2012). and the newly introduced...

Generalized additive models for location, scale and shape define a flexible, semi-parametric class of regression models for analyzing insurance data in which the exponential family assumption for the response is relaxed. This approach allows the actuary to include risk factors not only in the...