The objective of this paper is to determine the basic features of the use of mathematical modeling of the system to forecast cryptocurrency exchange rate. The study determines that cryptocurrency is the simplest investment asset being and, at the same time, the riskiest one. Advantages and disadvantages of cryptocurrency use are specified. Advantages include: code openness, anonymity, decentralization, emission, and reliability. Disadvantages include lack of guarantees, instability, risk of prohibition and possible loss. A model to forecast bitcoin cryptocurrency exchange rate is proposed and substantiated mathematically. The observations are the basis to develop a hypothesis: the faster the cryptocurrency (e.g. bitcoin) is mined, the more difficult it is to forecast bitcoin cryptocurrency exchange rate. Certain factors emphasize which may affect the cryptocurrency exchange rate: trade wars of the USA with other export-oriented world economies (China); advent of IEO as the alternative for ICO and new drivers connected with the interest in cryptocurrency; FATF recommendations for market control, the entry of world giants (e.g. Facebook) into the crypto-market and the development of the stablecoin market.

The purpose of the article is to assess the impact of the investment and innovation components on the economic development of Ukraine regions using the taxonomy method. The proposed method allows determining the object state level in a general set of objects, and ordering the objects according to growth or decrease of the indicators. The article substantiates the necessity to assess the dynamics of the regional economic development level in order to identify the reserves and capacities for increasing profitability and efficiency of further activities. The integral indicator of the regions' development level is calculated. The comparative analysis is carried out within the framework of the proposed model. The research results suggest that the proposed model enables us to trace the causes of the negative phenomena occurrence in the activities of the regions, to prevent their occurrence, and to develop complex managerial influences to provide the state with a vector of positive development.

The article presents a methodological tool for analysis and evaluation of business processes of Ukrainian enterprises. The proposed methodology is provided for the identification of "problem" areas of certain business processes by calculating average weighted, integral and generic indicators of efficiency and effectiveness. It allows to evaluate the status of both certain business processes of enterprises and their totality, and to set the priorities of management actions for their improvements. The proposed methodology is examined on the example of a specific enterprise of the construction industry. In the framework of the proposed criteria (financialeconomic, resource-production, external integration, organizational), a list of indicators, taking into account the specifics of the enterprise are formed. Assessment of the efficiency and effectiveness of business processes by the specified criteria and indicators allows one to monitor the current activity of the enterprise and evaluate the effectiveness of its operations at every moment of time.

The article aims at studying the theoretical basis and developing a methodological approach for assessing the development of urban infrastructure from the point of view of the use of venture capital. The article explores the tendencies of the development of venture capital investments in the world. Particular attention is paid to comparing volumes of the formal market of venture capital investment in the EU and Ukraine. The emphasis is placed on the fact that venture capital is a way of targeted investment in innovative development and can become a catalyst for the introduction of innovative technologies. It is substantiated that science and education are reliable segments for the diffusion of innovations. The focus is on the functioning of technology parks and it is revealed that they have become the most effective organizational and economic form of integration of science and production among all other innovative structures in the world. The best practices of Ukrainian universities on the commercialization of innovative developments and technology transfer in the domestic and foreign markets are presented. The creation of an innovative educational-production cluster based on the principles of public-private partnership in the form of a multilateral treaty union of state authorities and economic entities without unification of deposits is proposed. The results of calculating the accumulative influence of the multiplicative effect from the development of urban infrastructure have been presented and the effectiveness of its influence on the development of the regions of Ukraine economy has been proved.

This article is devoted to the problems of forming analytical support for the management of economic activities of industrial enterprises under emergency situations. It is established that the current approaches of the formation of economic analysis in economic activities do not allow to fully assess the impact of emergencies on the financial conditions of the enterprises. Therefore, a taxonomic analysis technique is applied, which allows to represent the level of business development mathematically and to identify the most influential factors, including the consequences of emergencies. Methodological provisions for the use of taxonomic analysis are also developed, which consist of successive stages of application of analytical procedures for evaluating the development of the enterprise. This includes a comprehensive assessment of the level of development of the enterprise in the context of emergency situations by calculating an integrated taxonomic indicator; assessment of the structure and dynamics of the integrated emergency indicators and the assessment of the consequences of the emergency. The methodology is applied and tested on the example of activity of PAP "Novokramatorsky Automobile-Building Plant". Overall comprehensive assessment of the level of development of the enterprise allows us to identify advantages, disadvantages and "bottlenecks" in the activity of the enterprise. It also identifies and mobilizes internal economic reserves, optimize the financial and economic activity of the enterprise as a whole, as well as timely diagnose the presence and depth of the crisis. The methodology can be applied at the enterprises of different branches of national economics with different sizes.