MATEMÁTICA FINANCEIRA: UMA PERSPECTIVA USANDO RECORRÊNCIAS LINEARES

Detalhes bibliográficos
Ano de defesa: 2023
Autor(a) principal: BRAZ TEODORO JIMÉNEZ MARTINS
Orientador(a): Elen Viviani Pereira Spreafico
Banca de defesa: Não Informado pela instituição
Tipo de documento: Dissertação
Tipo de acesso: Acesso aberto
Idioma: por
Instituição de defesa: Fundação Universidade Federal de Mato Grosso do Sul
Programa de Pós-Graduação: Não Informado pela instituição
Departamento: Não Informado pela instituição
País: Brasil
Palavras-chave em Português:
Link de acesso: https://repositorio.ufms.br/handle/123456789/6605
Resumo: The main objective of this work is to study and link the linear recurrences with the financial math. For such, initially a detailed study of the recurrences of first and second order has been made. Financial Education at BNCC has been discussed about and the deductions of formulas of composed interests, Price Amortization System and Constant Amortization System (SAC), for linear recurrences. Besides, connections between linear recurrences and concepts of linear algebra, such as: vectorial space, basis and dimension, concluding that the set of solutions of a recurrence is a vectorial space. Besides, some economic models that have been presented may be studied by recurrence equations. At last, we have presented some problematic situations of financial mathematics that may be worked in the classroom, like composed interests, amortization and financial applications with monthly reports. Keywords: Linear Recurrences of First and Second Order, Financial Education, Financial Math, Economic Models.