Most motor bodily injury (BI) claims are settled by negotiation, with fewer than 5% of cases going to court. A well-defined negotiation strategy is thus very useful for insurance companies. In this paper we assume that the monetary compensation awarded in court is the upper amount to be offered...

In this paper we present a new reinsurance strategy, called threshold strategy, that has a different behaviour depending on the reserves. Whenever the reserves are less than a certain level, the portfolio manager decides to apply a proportional reinsurance. If the reserves are greater than b, it...

In this paper we analyze the time of ruin in a risk process with the interclaim times being Erlang(n) distributed and a constant dividend barrier. We obtain an integro-differential equation for the Laplace Transform of the time of ruin. Explicit solutions for the moments of the time of ruin are...

Reinsurance is one of the tools that an insurer can use to mitigate the underwriting risk and then to control its solvency. In this paper, we focus on the proportional reinsurance arrangements and we examine several optimization and decision problems of the insurer with respect to the...

Most motor bodily injury (BI) claims are settled by negotiation, with fewer than 5% of cases going to court. A well-defined negotiation strategy is thus very useful for insurance companies. In this paper we assume that the monetary compensation awarded in court is the upper amount to be offered...

Distance-based regression is a prediction method consisting of two steps: from distances between observations we obtain latent variables which, in turn, are the regressors in an ordinary least squares linear model. Distances are computed from actually observed predictors by means of a suitable...

In the context of a compound Poisson risk model, we define a threshold proportional reinsurance strategy: A retention level k1 is applied whenever the reserves are less than a determinate threshold b, and a retention level k2 is applied in the other case. We obtain the integro-differential...

In this paper it is illustrated, in a practical way, the use of three tools that permit the actuary to define tariff groups and to estimate risk premiums in the class-rating process for non-life insurance. The first is the segmentation analysis (CHAID and XAID) used firstly at 1997 by UNESPA in...

In this paper, we present an economic model that allows a terminally ill policy-holder to decide whether or not to sell (part of) the policy in the viatical settlement market. The viatical settlement market emerged in the late 1980s in response to the AIDS epidemic. Nowadays it is part of the...

The process of free reserves in a non-life insurance portfolio as defined in the classical model of risk theory is modified by the introduction of dividend policies that set maximum levels for the accumulation of reserves. The first part of the work formulates the quantification of the dividend...