Publication Details
Issue: Vol 3, No 9 (2026)
Pages: 23-30
ISSN: 2997-9366

Abstract

This paper explores the theoretical and practical aspects of using multiple integrals in the mathematical modeling of economic risks. In economic processes, risk is often formed not by a single factor but as a result of the combined influence of several random factors. Therefore, along with one-dimensional probabilistic models, it is necessary to use multidimensional models. The paper presents a method for determining expected economic outcome, variance, and risk indicators using multiple integrals based on the joint probability distribution of two random economic factors. It also demonstrates the possibility of solving the problem of risk modeling using the Lagrange multiplier method. The proposed approach can be applied in forming an investment portfolio, assessing currency and inflation risks, and optimizing economic decisions.

Keywords
Multiple integral economic risk mathematical modeling probability density portfolio risk function optimization Lagrange multipliers