This article clarifies the didactic and research capabilities of the new TopRank digital tool in the practice of professional training of masters in economics and finance. The features of the organization of educational and cognitive activity of students within the disciplines "Risk theory (advanced level)", "Instrumental methods in economics", "Mathematics of financial instruments" are presented, taking into account which allows us to focus on the development of competencies related to decision-making in conditions of uncertainty and risk. Special attention is paid to TopRank tools ("Sensitivity analysis", "Perform if, what", "Scanning"), the use of which allows you to significantly expand the list of applied tasks of financial and economic content, bring the educational and cognitive activities of master's students closer to the real conditions of professional activity. The solution of the pedagogical task of developing a system of tasks and exercises of mathematical disciplines for higher economic school, in the framework of teaching which it is methodically expedient to use a new tool TopRank, is given. The tasks of a new type introduced into the practice of professional training of masters in economics and finance include tasks for investment planning taking into account the dynamics of investor preferences, tasks for designing and managing a portfolio of financial instruments based on real financial data, tasks for identifying significant factors leading to volatility or undesirable financial results, tasks for cost estimation in various areas economic activity, the task of identifying significant factors, leading to the irrational use of raw materials and an increase in labor costs, tasks to assess the quantitative characteristics of the project throughout its life cycle, tasks to build hierarchies of factors leading to deviations of standards for quality management of manufactured products and tasks to form optimal capital reserves taking into account the most likely and significant risks. The material of the article can be useful for digitalization of methodological systems of teaching professionally significant academic disciplines in higher education, as well as improving the system of additional professional education in the field of economics and finance.