OPTIMIZATION OF THE SPATIAL DISTRIBUTION OF INVESTMENTS IN HUMAN CAPITAL IN THE REGIONS OF THE NORTH CAUCASUS FEDERAL DISTRICT

The article discusses some areas of optimization of the spatial distribution of investments in human capital on the example of the regions of the North Caucasus Federal District. Based on the study of the subjects of investment in human capital and the mechanisms of investment in human capital, the article identifies a number of problems that allow us to talk about a weak system of organization and management of investments in human capital, as well as stochastic returns on these investments, which requires the search for mechanisms to optimize the processes of managing the spatial distribution of investments in human capital. In order to solve the problems identified in the study and to optimize the spatial distribution of investments in human capital at the regional level in the context of limited financial capabilities of the regions, the proposed article develops a mechanism for forming priorities for regional investments in human capital, which will take into account the characteristics of a particular region, its priorities in terms of investment in human capital, the structure and sources of such investments, taking into account the capabilities of the region. Within the framework of the proposed study, it is determined that the formation of priorities for regional investments in human capital should be determined as the ratio of the required volume of investment investments to the costs of achieving specific results of socio-economic development, taking into account specific criteria for assessing the financial support of the regional investment process. The mechanism of formation of priorities of regional investments in human capital proposed in the scientific article will allow optimizing the distribution of investments in regional human capital, since the priority areas of investment are determined here taking into account the available resources of the region, as well as taking into account the assessment of their multiplier effect for sustainable regional development as a whole.

A necessary and sufficient condition for the subexponentiality of the product convolution

Let X and Y be two independent and nonnegative random variables with corresponding distributions F and G. Denote by H the distribution of the product XY, called the product convolution of F and G. Cline and Samorodnitsky (1994) proposed sufficient conditions for H to be subexponential, given the subexponentiality of F. Relying on a related result of Tang (2008) on the long-tail of the product convolution, we obtain a necessary and sufficient condition for the subexponentiality of H, given that of F. We also study the reverse problem and obtain sufficient conditions for the subexponentiality of F, given that of H. Finally, we apply the obtained results to the asymptotic study of the ruin probability in a discrete-time insurance risk model with stochastic returns.

Earnings Inequality and Other Determinants of Wealth Inequality

We study the relation between the distribution of labor earnings and the distribution of wealth. We show, theoretically as well as empirically, that while labor earnings and precautionary savings are important determinants of wealth inequality factors, they cannot by themselves account for the thick tail of (the large top shares in) the observed distribution of wealth. Other determinants, like stochastic returns to wealth, as well as savings rates and rates of returns increasing in wealth, need to be accounted for.