ИСТИНА

Consumer credit has become an important element of economic relations in Russia in the 21st century. In conditions of low real incomes of the main part of the population, consumer credit has been stimulating economic activity of the population, supporting the effective demand of households. Consequently, it has had a positive impact on the GDP growth rate. In 2019, the share of consumer credit in the assets of the consolidated balance sheet of commercial banks, which is one of the most profitable assets, reached 18%. About half of the credit debt of individuals is made up of unsecured consumer credit. In the fall of 2019 the government of the Russian Federation discussed the problem of riskiness of consumer credit as an asset of commercial banks, as well as the measures to restructure consumer credit debt. This problem is exacerbated by the decline in real incomes caused by the COVID-19 pandemic. The report, based on joint work with M.V. Tarasenko and N.V. Trusov, offers a Ramsey-type model for describing the economic behavior of households. They investigated the optimal control problem modeling the economic behavior of a representative household. A.A. Shananin managed to prove a theorem of the existence of a solution and obtain necessary optimality conditions in the form of the Pontryagin-Clark maximum principle. The result was the construction of an optimal control synthesis. The model was identified based on Russian statistics. It is used to analyze the problem of consumer lending in Russia in conditions of the COVID-19 pandemic and its impact on the economic situation of households.