The article deals with the problems of the sphere of extra- vocational education in Russia, which is being just forming in our country including different classes of population. According to the author it is important to render relevant services of extra education, taking international experience into account. The author considers that there is a great deal of work in creating national educational standards ahead of us in order to construct a modular vocational education based on them and to form a sphere of extra-vocational education.
The paper studies a problem of optimal insurer’s choice of a risk-sharing policy in a dynamic risk model, so-called Cramer-Lundberg process, over infinite time interval. Additional constraints are imposed on residual risks of insureds: on mean value or with probability one. An optimal control problem of minimizing a functional of the form of variation coefficient is solved. We show that: in the first case the optimum is achieved at stop loss insurance policies, in the second case the optimal insurance is a combination of stop loss and deductible policies. It is proved that the obtained results can be easily applied to problems with other optimization criteria: maximization of long-run utility and minimization of probability of a deviation from mean trajectory.