Application of Economic Mathematics in the Financial and Economic Field

To explore the necessity and application strategies of economic mathematics in the financial and economic field, this paper adopts the literature review method. Based on previous research, the theoretical connotation of economic mathematics is systematically presented, its role mechanisms in risk assessment, investment decision-making, and option pricing are analyzed separately. Additionally, practical case analyses are conducted for rural financial institutions, securities companies, and futures companies. The study shows that through quantitative models and algorithm optimization, economic mathematics can accurately identify potential risks in financial activities, enhance the scientific nature of decision-making, assist rural financial institutions in optimizing credit resource allocation, and aid securities and futures companies in dynamic risk management and decision-making. The study further points out that the integration of economic mathematics with artificial intelligence, blockchain, and other technologies will promote the evolution of the financial and economic field towards intelligence and precision. The conclusions of this paper provide a theoretical basis and practical paths for financial institutions' risk prevention and innovation.