This paper illustrates an analytic method that can be used to determine the total capital requirements necessary to properly provide for the future obligations of a portfolio of annuity liabilities and to protect the enterprise from the related risks it faces. This example is based on the work...

We consider a continuous-time Markowitz type portfolio problem that consists of minimizing the discounted cost of a given cash-fl ow under the constraint of a restricted Capital at Risk. In a Black-Scholes setting, upper and lower bounds are obtained by means of simple analytical expressions...

In this paper we investigate the approximations for the distribution function of a sum S of lognormal random variables. These approximations are obtained by considering the conditional expectation E[SΛ] of S with respect to a conditioning random variable Λ.The choice of Λ is crucial in order...

In the present paper we consider several measures Ior the risk that is present in all insurance environment. We look for desirable properties for two types of risk measures, the ones reflecting both negative and positive results, and the measures for insolvency risks dealing with aspects of...

In this short paper we discuss a new methodology for estimating reserves for IBNR (incurred but not reported) claims.

In this paper we give the outline of a research project developed in a cooperation between the actuarial, financial and statistical research groups of the Faculty of Economics and Applied Economics and the research group on statistics in the Mathematical Department. The main purpose consists...

Modern Actuarial Risk Theory -- Using R contains what every actuary needs to know about non-life insurance mathematics. It starts with the standard material like utility theory, individual and collective model and basic ruin theory. Other topics are risk measures and premium principles,...