Diophantine equations and optimal financial resources allocation of small investors on the Brazilian stock market
DOI:
https://doi.org/10.35819/remat2022v8i1id5674Keywords:
Stock Market, Elementary Number Theory, Financial Education, Linear Diophantine EquationsAbstract
The main result of this work is to propose a method of calculation for allocation of financial resources in an investment portfolio composed of shares of two companies listed on the stock exchange (B3). The main objective is the full use of available resources in order to optimize the process for small investors. For this purpose, the Elementary Theory of Numbers applies. In particular, the basic results of the linear Diophantine equations in two variables are helpful.
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B3 S.A. - Brasil, Bolsa, Balcão. Relatório sobre pessoa física - 1º Semestre de 2021. Disponível em: www.b3.com.br/pt_br/market-data-e-indices/servicos-de-dados/market-data/consultas/mercado-a-vista/perfil-pessoas-fisicas/perfil-pessoa-fisica. Acesso em: 31 mar. 2022.
BONANI, Breno. 3 Coisas Que Você Precisa Saber Sobre o Mercado Americano. Investing.com, 7 mar. 2020. Disponível em: https://br.investing.com/analysis/3-coisas-que-voce-precisa-saber-sobre-o-mercado-americano-200433893. Acesso em: 31 mar. 2022.
CAPINSKI, M.; ZASTAWNIAK, T. Mathematics for finance: an introduction to financial engineering. Londres: Springer, 2006.
HEFEZ, A. Aritmética. 1. ed. Rio de Janeiro: SBM, 2014.
SANTOS, J. P. O. Introdução à Teoria dos Números. Rio de Janeiro: SBM, 2020.
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