Issue #1 (Volume 7 2016)

The article analyzes modern tendencies and broadening dynamics of insurance companies’ and credit unions’ services in terms of world regions. The correlation analyses for finding lag relation between access broadening to the insurance companies’ and credit unions’ services and financial and economic parameters is held. The distribution-lag models for force and direction interrelation between access level to non-banking financial services and financial and economic regions development are elaborated.

Keywords: financial inclusion, insurance company, credit union, lag, economic growth, regression

The variability of claim costs represents an important risk component, which should be taken into account while implementing the internal models for solvency evaluation of an insurance undertaking. This component can generate differences between future payments for claims and the provisions set aside for the same claims (run-off error).
If the liability concerning the claims reserve is evaluated using synthetic methods, then the run-off error depends on the statistical method adopted; when it is not possible to study analytically the properties of the estimators, methods based on stochastic simulation are particularly effective. This work focuses on measuring the run-off error with reference to claims reserves evaluation methods applied to simulated run-off matrices for the claims settlement development. The results from the numerical implementations provide the authors with useful insights for a rational selection of the statistical-actuarial method for the claims reserve evaluation on an integrated risk management framework.
The setting of the analysis is similar to that adopted in other studies (Stanard, 1986; Pentikainen and Rantala, 1992; Buhlmann et al., 1980), however, it differs for estimation and simulation methods considered and for the statistics elaborated in the comparison.

Keywords: run-off error, outstanding claims reserves, stochastic simulation

Peculiarities of taxation of insurance companies in Ukraine and Europe have been researched. Methodological principles determining the optimal level of tax burden for insurers, depending on the level of national insurance market development have been proposed. The forms of constructive and destructive effects of taxes on insurance companies functioning in the stages of development of the insurance market have been established.

Keywords: insurance companies, tax, tax burden, income tax, optimization, mathematical formalization

In the context of the stochastic models for the management of life insurance portfolio, the authors explore, with simulation approach, the effects induced by the application of a particular method of calculation of the surrender value.
In the life insurance, the policyholder position is, at any moment, quantified by the mathematical reserve. In case the reserve amount results are positive, the insurance company can allow the contract surrender, consisting in an amount payment, called surrender value, commensurate with the mathematical reserve.
Generally, the insurance company enforces some restrictions in the surrender value determination, in order to avoid, first of all, that an amount is disbursed to the policyholder while, on the contrary, he results to be indebted to the Company. In this paper the authors will consider a surrender value calculation method based precisely on the profit recovery concept which shall be supplied by the contract in case it remains in the portfolio. Additionally, the authors shall analyze, by simulation approach, the effects caused by the enforcement of the surrender value calculation concept on a life portfolio profitability, and on the penalties extent enforced to the policyholders which cancel from the contract.

Keywords: surrender value, life insurance, internal risk model, stochastic simulation

The article studies the possibility of using optimization modelling to form the optimal structure of insurance services’ portfolio of insurance companies. Based on the data of net insurance payments and profitability of the voluntary types of insurance in 2005-2015, the authors conducted their analysis according to the possibility to be included in the general insurance portfolio of the insurance company. The optimization model is based on the approach developed by G. Markowitz. The formation of insurance services portfolio is conducted by solving the optimization problem to maximize the portfolios’ profitability or to minimize the portfolio’s risks. The obtained results can be used in making strategic decisions by the management regarding the development of insurance companies.

Keywords: insurance company, insurance service, insurance portfolio, portfolio optimization