{"id":2325,"date":"2023-07-22T18:32:26","date_gmt":"2023-07-22T18:32:26","guid":{"rendered":"https:\/\/statorials.org\/pt\/interesse-compoe-em-python\/"},"modified":"2023-07-22T18:32:26","modified_gmt":"2023-07-22T18:32:26","slug":"interesse-compoe-em-python","status":"publish","type":"post","link":"https:\/\/statorials.org\/pt\/interesse-compoe-em-python\/","title":{"rendered":"Como calcular juros compostos em python (3 exemplos)"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">Podemos usar a seguinte f\u00f3rmula de juros compostos para encontrar o valor final de um investimento ap\u00f3s um determinado per\u00edodo de tempo:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>UMA = P(1 + r\/n) <sup>nt<\/sup><\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Ouro:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>R:<\/strong> Valor final<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>P:<\/strong> Inicial principal<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>r:<\/strong> taxa de juros anual<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>n:<\/strong> N\u00famero de per\u00edodos de composi\u00e7\u00e3o por ano<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>t:<\/strong> N\u00famero de anos<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Podemos usar a seguinte f\u00f3rmula para calcular o valor final de um investimento em Python:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong>P <span style=\"color: #800080;\">*<\/span> ( <span style=\"color: #008000;\">pow<\/span> ((1 <span style=\"color: #800080;\">+<\/span> r <span style=\"color: #800080;\">\/<\/span> n),n <span style=\"color: #800080;\">*<\/span> t))\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">E podemos utilizar a seguinte fun\u00e7\u00e3o para exibir o valor final de determinados investimentos ao final de cada per\u00edodo:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008000;\">def<\/span> each_year(P, r, n, t):\n\n    <span style=\"color: #008000;\">for<\/span> period <span style=\"color: #008000;\">in<\/span> range(t):\n        amount = P <span style=\"color: #800080;\">*<\/span> ( <span style=\"color: #008000;\">pow<\/span> ((1 <span style=\"color: #800080;\">+<\/span> r <span style=\"color: #800080;\">\/<\/span> n), n <span style=\"color: #800080;\">*<\/span> (period + <span style=\"color: #800080;\">1<\/span> )))\n        print(' <span style=\"color: #ff0000;\">Period:<\/span> ', period <span style=\"color: #800080;\">+<\/span> 1, amount)\n\n    <span style=\"color: #008000;\">return<\/span> amount<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Os exemplos a seguir mostram como usar essas f\u00f3rmulas em Python para calcular o valor final dos investimentos em diferentes cen\u00e1rios.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Exemplo 1: F\u00f3rmula de juros compostos com capitaliza\u00e7\u00e3o anual<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Digamos que investimos $ 5.000 em um investimento que rende 6% ao ano.<\/span><\/p>\n<p> <span style=\"color: #000000;\">O c\u00f3digo a seguir mostra como calcular o valor final desse investimento ap\u00f3s 10 anos:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#define principal, interest rate, compounding periods per year, and total years\n<\/span>P = 5000\nr = .06\nn = 1\nt = 10\n\n<span style=\"color: #008080;\">#calculate final amount<\/span>\nP <span style=\"color: #800080;\">*<\/span> ( <span style=\"color: #008000;\">pow<\/span> ((1 <span style=\"color: #800080;\">+<\/span> r <span style=\"color: #800080;\">\/<\/span> n),n <span style=\"color: #800080;\">*<\/span> t))\n\n8954.238482714272\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Este investimento valer\u00e1 <strong>$ 8.954,24<\/strong> ap\u00f3s 10 anos.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Podemos usar a fun\u00e7\u00e3o que definimos anteriormente para exibir o investimento final ap\u00f3s cada ano durante o per\u00edodo de 10 anos:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#display ending investment after each year during 10-year period\n<\/span>each_year(P, r, n, t)\n\nPeriod: 1 5300.0\nPeriod: 2 5618.000000000001\nPeriod: 3 5955.08\nPeriod: 4 6312.384800000002\nPeriod: 5 6691.127888000002\nPeriod: 6 7092.595561280002\nPeriod: 7 7518.151294956803\nPeriod: 8 7969.240372654212\nPeriod: 9 8447.394795013464\nPeriod: 10 8954.238482714272\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Isso nos diz:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">O valor final ap\u00f3s o primeiro ano foi de <strong>US$ 5.300<\/strong> .<\/span><\/li>\n<li> <span style=\"color: #000000;\">O valor final ap\u00f3s o segundo ano foi de <strong>US$ 5.618<\/strong> .<\/span><\/li>\n<li> <span style=\"color: #000000;\">O valor final ap\u00f3s o terceiro ano foi <strong>de US$ 5.955,08<\/strong> .<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">E assim por diante.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Exemplo 2: F\u00f3rmula de juros compostos com capitaliza\u00e7\u00e3o mensal<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Digamos que investimos $ 1.000 em um investimento que tem uma taxa de capitaliza\u00e7\u00e3o de 6% ao ano e \u00e9 capitalizado mensalmente (12 vezes ao ano).<\/span><\/p>\n<p> <span style=\"color: #000000;\">O c\u00f3digo a seguir mostra como calcular o valor final desse investimento ap\u00f3s 5 anos:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#define principal, interest rate, compounding periods per year, and total years\n<\/span>P = 1000\nr = .06\nn = 12\nt = 5\n\n<span style=\"color: #008080;\">#calculate final amount<\/span>\nP <span style=\"color: #800080;\">*<\/span> ( <span style=\"color: #008000;\">pow<\/span> ((1 <span style=\"color: #800080;\">+<\/span> r <span style=\"color: #800080;\">\/<\/span> n),n <span style=\"color: #800080;\">*<\/span> t))\n\n1348.8501525493075<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Este investimento valer\u00e1 <strong>$ 1.348,85<\/strong> ap\u00f3s 5 anos.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Exemplo 3: F\u00f3rmula de Juros Compostos com Composi\u00e7\u00e3o Di\u00e1ria<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Digamos que investimos $ 5.000 em um investimento que tem um cap rate de 8% ao ano e \u00e9 composto diariamente (365 vezes por ano).<\/span><\/p>\n<p> <span style=\"color: #000000;\">O c\u00f3digo a seguir mostra como calcular o valor final desse investimento ap\u00f3s 15 anos:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#define principal, interest rate, compounding periods per year, and total years\n<\/span>P = 5000\nr = .08\nn = 365\nt = 15\n\n<span style=\"color: #008080;\">#calculate final amount<\/span>\nP <span style=\"color: #800080;\">*<\/span> ( <span style=\"color: #008000;\">pow<\/span> ((1 <span style=\"color: #800080;\">+<\/span> r <span style=\"color: #800080;\">\/<\/span> n),n <span style=\"color: #800080;\">*<\/span> t))\n\n16598.40198554521<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Este investimento valer\u00e1 <strong>$ 16.598,40<\/strong> ap\u00f3s 15 anos.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Recursos adicionais<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Os tutoriais a seguir explicam como realizar outras tarefas comuns em Python:<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/pt\/pontuacao-z-python\/\" target=\"_blank\" rel=\"noopener\">Como calcular pontua\u00e7\u00f5es Z em Python<\/a><br \/> <a href=\"https:\/\/statorials.org\/pt\/correlacao-em-python\/\" target=\"_blank\" rel=\"noopener\">Como calcular a correla\u00e7\u00e3o em Python<\/a><br \/> <a href=\"https:\/\/statorials.org\/pt\/tamanho-medio-em-python\/\" target=\"_blank\" rel=\"noopener\">Como calcular uma m\u00e9dia aparada em Python<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Podemos usar a seguinte f\u00f3rmula de juros compostos para encontrar o valor final de um investimento ap\u00f3s um determinado per\u00edodo de tempo: UMA = P(1 + r\/n) nt Ouro: R: Valor final P: Inicial principal r: taxa de juros anual n: N\u00famero de per\u00edodos de composi\u00e7\u00e3o por ano t: N\u00famero de anos Podemos usar a [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[11],"tags":[],"class_list":["post-2325","post","type-post","status-publish","format-standard","hentry","category-guia"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Como calcular juros compostos em Python (3 exemplos) - Estatologia<\/title>\n<meta name=\"description\" content=\"Este tutorial explica como calcular juros compostos no Planilhas Google, com v\u00e1rios exemplos.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/statorials.org\/pt\/interesse-compoe-em-python\/\" \/>\n<meta property=\"og:locale\" content=\"pt_PT\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta 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