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...

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...

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...

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...

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...

Consideramos el proceso clasico del riesgo modificado con la introduccion de una barrera de dividendos constante, de tal forma que cuando el proceso de reservas alcanza la barrera se pagan dividendos hasta la ocurrencia del siguiente siniestro. En la literatura actuarial se plantea el calculo de...

A transformation kernel density estimator that is suitable for heavy-tailed distributions is discussed. Using a truncated Beta transformation, the choice of the bandwidth parameter becomes straightforward. An application to insurance data and the calculation of the value-at-risk are presented.