This paper presents an extension of the classical compound Poisson risk model for which the inter-claim time and the forthcoming claim amount are no longer independent random variables. Asymptotic tail probabilities for the discounted aggregate claims are presented when the force of interest is...

A simple formula for non-discriminatory insurance pricing is introduced. This formula is based on the assumption that certain individual (discriminatory) policyholder information is not allowed to be used for insurance pricing. The suggested procedure can be summarized as follows: First, we...

This paper considers a renewal risk model with dividend barrier for which the claim inter-arrival time is Erlang(2) distributed. The purpose is to derive explicit expression for the barrier probability, that is, the probability of absorption by an upper barrier ‘b', before ruin occurs. To...

To meet future liabilities general insurance companies will set-up reserves. Predicting future cash-flows is essential in this process. Actuarial loss reserving methods will help them to do this in a sound way. The last decennium a vast literature about stochastic loss reserving for the general...

We give a complete algorithm and source code for constructing what we refer to as heterotic risk models (for equities), which combine: i) granularity of an industry classification; ii) diagonality of the principal component factor covariance matrix for any sub-cluster of stocks; and iii)...

The Firm-Value Risk Model combines the technology of actuarial optimal dividends models with insights regarding financial frictions from financial economics, especially as they apply to risk transfer in (re)insurance firms. This paper illustrates, by numerical solution of a set of case studies,...

Longevity Risk becomes an important challenge in the recent Year because of the decreases in the mortality rates and the rising in the life expectancy through the decades. In this article, we propose a consistent multi-factor dynamics affine mortality model to the longevity risk modeling, we...