{"id":11014,"date":"2025-07-15T13:34:51","date_gmt":"2025-07-15T13:34:51","guid":{"rendered":"https:\/\/functiontranslator.com\/mtir\/"},"modified":"2021-02-25T17:24:45","modified_gmt":"2021-02-25T17:24:45","slug":"mirr","status":"publish","type":"post","link":"https:\/\/functiontranslator.com\/pt-pt\/mirr\/","title":{"rendered":"MTIR"},"content":{"rendered":"

A fun\u00e7\u00e3o MIRR, conhecida como Taxa Interna de Retorno Modificada (MTIR) em portugu\u00eas, \u00e9 uma ferramenta essencial em finan\u00e7as para calcular a rentabilidade de investimentos, levando em considera\u00e7\u00e3o os custos de financiamento e os rendimentos obtidos com o reinvestimento. Essa fun\u00e7\u00e3o est\u00e1 dispon\u00edvel tanto no Microsoft Excel quanto no Google Planilhas.<\/p>\n

Sintaxe e Exemplos<\/h2>\n

A sintaxe b\u00e1sica da fun\u00e7\u00e3o MTIR \u00e9:<\/p>\n

 MIRR(valores, taxa_financiamento, taxa_reinvestimento) <\/code><\/pre>\n
    \n
  • valores<\/strong>: uma matriz ou intervalo de c\u00e9lulas que cont\u00e9m os fluxos de caixa do investimento.<\/li>\n
  • taxa_financiamento<\/strong>: a taxa de juros paga sobre o capital financiado.<\/li>\n
  • taxa_reinvestimento<\/strong>: a taxa de retorno estimada dos rendimentos reinvestidos dos fluxos de caixa.<\/li>\n<\/ul>\n
    Exemplo de utiliza\u00e7\u00e3o:<\/p>\n
     =MTIR(A1:A5, 5%, 10%) <\/code><\/pre>\n
    Considere os seguintes fluxos de caixa na faixa de A1 a A5:<\/p>\n
      \n
    • A1: -10000 (investimento inicial)<\/li>\n
    • A2: 3000<\/li>\n
    • A3: 4200<\/li>\n
    • A4: 6800<\/li>\n
    • A5: 5300<\/li>\n<\/ul>\n
      Neste exemplo, a fun\u00e7\u00e3o MTIR calcular\u00e1 a taxa interna de retorno modificada, considerando uma taxa de financiamento de 5% e uma taxa de reinvestimento de 10%.<\/p>\n
      Aplica\u00e7\u00f5es Pr\u00e1ticas<\/h2>\n
      Compara\u00e7\u00e3o de Projetos de Investimento<\/h2>\n
      Imagine um gerente financeiro que precisa decidir entre dois projetos de investimento. Ele disp\u00f5e dos fluxos de caixa desses projetos e das taxas de financiamento e reinvestimento predeterminadas. Utilizando a fun\u00e7\u00e3o MTIR, o gerente pode determinar qual projeto oferece a melhor taxa de retorno ajustada ao risco.<\/p>\n
       Projeto A: =MTIR(B1:B5, 4.5%, 9%) Projeto B: =MTIR(C1:C5, 4.5%, 9%) <\/code><\/pre>\n\n\n\n\n\n\n\n
      Projeto A<\/th>\nProjeto B<\/th>\n<\/tr>\n
      -15000<\/td>\n-12000<\/td>\n<\/tr>\n
      5000<\/td>\n4000<\/td>\n<\/tr>\n
      6000<\/td>\n5000<\/td>\n<\/tr>\n
      8000<\/td>\n7000<\/td>\n<\/tr>\n
      7500<\/td>\n6000<\/td>\n<\/tr>\n<\/table>\n
      Com base na an\u00e1lise da MTIR, o gerente financeiro ter\u00e1 as informa\u00e7\u00f5es necess\u00e1rias para uma decis\u00e3o fundamentada.<\/p>\n
      Estrat\u00e9gias de Reinvestimento<\/h2>\n
      Considere um investidor que deseja avaliar o impacto de diferentes taxas de reinvestimento nos rendimentos de um fluxo de caixa. Utilizando a fun\u00e7\u00e3o MTIR, \u00e9 poss\u00edvel simular v\u00e1rios cen\u00e1rios alterando a taxa de reinvestimento para entender o potencial de crescimento do investimento.<\/p>\n\n\n\n\n
      \n
      =MTIR(D1:D5, 5%, 8%)<\/code><\/pre>\n<\/td>\n<\/tr>\n
      \n
      =MTIR(D1:D5, 5%, 10%)<\/code><\/pre>\n<\/td>\n<\/tr>\n
      \n
      =MTIR(D1:D5, 5%, 12%)<\/code><\/pre>\n<\/td>\n<\/tr>\n<\/table>\n
      Explorando diferentes taxas de reinvestimento, o investidor pode analisar como essas varia\u00e7\u00f5es impactam o retorno ajustado ao risco do investimento.<\/p>\n
      Em resumo, a fun\u00e7\u00e3o MTIR \u00e9 uma ferramenta eficaz para a an\u00e1lise financeira que auxilia investidores e gestores a fazer escolhas informadas e estrat\u00e9gicas, baseadas nos fluxos de caixa projetados e considerando os aspectos de custos e benef\u00edcios associados ao reinvestimento dos retornos.<\/p>\n","protected":false},"excerpt":{"rendered":"
      Devolve a taxa interna de rentabilidade em que os fluxos monet\u00e1rios positivos e negativos s\u00e3o financiados com taxas diferentes<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[438],"tags":[],"class_list":["post-11014","post","type-post","status-publish","format-standard","hentry","category-financeira"],"acf":[],"yoast_head":"\nFun\u00e7\u00e3o MIRR (MTIR) no Excel \u2013 como funciona, exemplos e sintaxe<\/title>\n<meta name=\"description\" content=\"Breve descri\u00e7\u00e3o da fun\u00e7\u00e3o MIRR (MTIR) do Excel. 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