Mathematical Approaches to Economic Riskology in Project and Financial Management

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Oleksandr Levchenko, Tetiana Chebanova, Iryna Moskvichenko, Iryna Makovetska, Viktoriya Gonchar, Viktoriia Vyshnevska

Abstract

In the ever-evolving realm of project and financial management, the capacity to proficiently identify, assess, and mitigate economic risks is critical for achieving successful outcomes. This paper delves into a range of mathematical approaches to economic riskology, with a particular focus on their application within project and financial contexts. We commence by defining essential concepts in economic risk management and elucidating the importance of mathematical modeling in quantifying uncertainties. The study systematically reviews established methodologies, including probabilistic models, optimization techniques, and simulation methods, demonstrating how these analytical tools can significantly enhance decision-making processes. Through the examination of case studies, we illustrate the practical implementation of these mathematical approaches, underscoring their efficacy in predicting potential risks and optimizing resource allocation. Ultimately, this research aspires to present a comprehensive framework for the integration of mathematical techniques into economic risk management practices. By doing so, it aims to foster resilience and sustainability in project and financial endeavors, equipping practitioners with the necessary tools to navigate the complexities of economic uncertainties effectively.

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