Aplicações das equações diferenciais na matemática financeira

Abstract

This study is a literature review aimed at presenting the applications of Ordinary Differential Equations (ODEs) in Financial Mathematics. This review is specifically focused on the literature of the past seven years. The analysis included scientific articles published in databases such as the CAPES Catalog of Theses and Dissertations, the Brazilian Digital Library of Theses and Dissertations, and Google Scholar, using the keywords ’applications,’ ’ODE,’ ’Financial Mathematics,’ or the phrase ’applications of ODEs in Financial Mathematics.’ Among the applications found in the selected materials, the most prominent are the capitalization of interest with single and continuous deposits, savings accounts, and private pension plans. The results indicate that these are the most prevalent applications within the financial market literature. Due to the specific period investigated, a limited body of relevant material on the subject was located.