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Foreign investment is an important economic resource for many countries including Ukraine. The relevance of this study lies in the need to solve problems of attracting foreign investment. The purpose of this study was to consider the conditions for attracting foreign investment in the cyclic imbalances of the world economy. Using the method of correlation-regression analysis, the impact of indicators of financial imbalances was found both in general and by individual sub-indices. The study found the financial imbalances (fiscal, monetary, exchange rate, debt, trade, households, investment, and savings), both present and potential, in the face of the threat of financial and economic crisis. The procedure for assessing financial imbalances in economic activity of the world and their regional groups that implement the process of investment-oriented development was defined. To assess their impact on the volume of foreign direct investment, a comprehensive method of calculating sub-indicators of financial imbalances was proposed, which on the set of certain parameters forms an integrated index of financial imbalances. Methodological approaches to determining the restrictive procedures for the accumulation of financial imbalances associated with the transition of the financial system to a state of financial danger, considering the budget, currency, monetary and debt components were substantiated. The complex method of calculating sub-indicators of financial imbalances in the economy involves the identification of economic risks at the initial stages using the Alert Mechanism on the violation of the balance of the financial and economic systems of the participating countries. Priority areas (real estate and professional services) for attracting foreign investment from around the world were identified. The geostrategic matrix of attraction of foreign investments by the countries of the world was offered