In order to avoid 'frailty' in deterministic assumptions concerning survival law, in this paper stochastic volatility in the force of mortality is considered. In particular, mortality rates are studied by means of a stochastic model of CIR type. A method for estimating its parameters is...

The relevance of critical illness coverage and life insurance in cause-specific mortality conditions is increasing in many industrialized countries. Specific conditions on the illness and on death event, providing cheapest premiums for the insureds and lower obligations for the insurers,...

The recent wide development and changes in insurance markets highlighted the necessity to map out the solvency analysis in a more complete framework. The approach we present in the paper comes up with an integrated analysis of the risk profile of an insurance business, taking into account the...

The paper addresses the calculation of the value at risk (VaR) of the mathematical provision applied in a fair valuation context. Following a balance-sheet approach, the classical definition of VaR needs some clarifications. For identifying worst cases it is opportune to observe that an increase...

The complex risk system involving life insurance business, mainly life and pension annuities, requires a structured equipment of measurement and management tools, suitable to evaluate the policies' performance within an ex-post perspective as well as within a forecasting context, consistently...

The paper focuses on the financial variable for the provision evaluation and analyses the sensitivity of the fair valuation to interest rate parameters. In a determinist scenario the evaluation risk is studied in a market value perspective and its impact is measured through the sensitivity of...

The paper addresses the question of the calculation of the current value of the mathematical provision and moulds it in a deterministic and stochastic scenario, using a proper term structure of interest rates estimated by means of a Cox-Ingersoll-Ross model. It provides a complete and original...

Future evolution of mortality poses important challenges for life insurance, pension funds, public policy and fiscal planning. Indeed, when fair values, premium rates and risk reserves are computed, sound and accurate models to forecast stochastic longevity are needed. In this paper, we propose...