{"id":5412,"date":"2025-02-26T09:22:36","date_gmt":"2025-02-26T08:22:36","guid":{"rendered":"https:\/\/spgoo.org\/?page_id=5412"},"modified":"2025-02-26T09:22:56","modified_gmt":"2025-02-26T08:22:56","slug":"calculs-financiers","status":"publish","type":"page","link":"https:\/\/spgoo.org\/?page_id=5412","title":{"rendered":"Calculs Financiers"},"content":{"rendered":" <!-- KaTeX for Math Formulas -->\r\n\r\n<title>[Calculs Financiers]<\/title>\r\n<script src=\"https:\/\/cdn.jsdelivr.net\/npm\/katex\/dist\/katex.min.js\"><\/script>\r\n<link href=\"https:\/\/cdn.jsdelivr.net\/npm\/katex\/dist\/katex.min.css\" rel=\"stylesheet\">\r\n<script src=\"https:\/\/cdn.jsdelivr.net\/npm\/jsxgraph\/distrib\/jsxgraphcore.min.js\"><\/script> \r\n<script src=\"https:\/\/jsxgraph.org\/distrib\/JessieScript.js\"><\/script>  \r\n<script>\r\nwindow.MathJax = {\r\n  tex: {\r\n    inlineMath: [ ['$','$'], [\"\\\\(\",\"\\\\)\"] ],\r\n    displayMath: [ ['$$','$$'], [\"\\\\[\",\"\\\\]\"] ],\r\n    packages: ['base', 'ams']\r\n  },\r\n  options: {\r\n    ignoreHtmlClass: 'tex2jax_ignore',\r\n    processHtmlClass: 'tex2jax_process'\r\n  }\r\n};\r\n<\/script>  \r\n\r\n\r\n\r\n<script type=\"text\/javascript\" id=\"MathJax-script\" src=\"https:\/\/cdn.jsdelivr.net\/npm\/mathjax@3\/es5\/tex-mml-chtml.js\"> <\/script>\r\n\r\n<script>\r\n  window.WebFontConfig = {\r\n      custom: {\r\n          families: ['KaTeX_AMS', 'KaTeX_Caligraphic:n4,n7', 'KaTeX_Fraktur:n4,n7',\r\n              'KaTeX_Main:n4,n7,i4,i7', 'KaTeX_Math:i4,i7', 'KaTeX_Script',\r\n              'KaTeX_SansSerif:n4,n7,i4', 'KaTeX_Size1', 'KaTeX_Size2', 'KaTeX_Size3',\r\n              'KaTeX_Size4', 'KaTeX_Typewriter'],\r\n      },\r\n  };\r\n<\/script>\r\n\r\n<style>\r\n\t\/* Input Board *\/\r\n\t#inputBoard {\r\n\t\tfont-family: \"KaTeX_Main\", serif;\r\n\t\t\/*justify-content: center; 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\r\n\t}\r\n\th2 {\r\n\t\tfont-family: \"KaTeX_Math\"; \r\n\t\ttext-align :center;\r\n\t}\t\r\n<\/style>\r\n<div style=\"display:flex;\">\r\n\t<div style=\"position:absolute;top:580px; left:280px\">\r\n\t\t<img decoding=\"async\" title=\"aide\"  onclick=\"chargement_doc();\" style=\"height:50px;cursor:pointer;\" src=\"\/wp-content\/uploads\/2025\/03\/aide2.png\" \/>\r\n\t<\/div>\r\n\r\n<!-- Input Board -->\r\n<div id=\"inputBoard\" style=\"text-align:center;\">\r\n\t<h2 style=\"font-size: 24px;font-weight: bold;font-family: KaTeX_Main, serif;color:#AE181E\">Calculs Financiers \r\n\t\t<!-- <button style=\"height:40px;background:rgb(229, 186, 186);\" onclick=\"chargement_doc();\"> -->\r\n\t\t\t\r\n\t\t<!-- <\/button> -->\r\n\t<\/h2>\r\n\t<select id=\"select_proj\" style=\"color:#AE181E;\" onchange=\"chargement_data();\">\r\n\t\t<option value=\"choisir\">Exemples<\/option>\r\n\t\t<option value=\"projet1\">Projet 1<\/option>\r\n\t\t<option value=\"projet2\">Projet 2<\/option>\r\n\t\t<option value=\"projet3\">Projet 3<\/option>\r\n\t\t<option value=\"projet4\">Projet 4<\/option>\r\n\t<\/select>\r\n\t<br\/><br\/>\r\n\t<label for=\"numInput\" id=\"labelT\"><\/label>\r\n\t<input type=\"number\" id=\"numInput\" value=\"3\" min=\"1\" class=\"small-input\">\r\n\t<label for=\"interestInput\" id=\"labelI\"><\/label>\r\n\t<input type=\"number\" id=\"interestInput\" value=\"0.05\" step=\"0.01\" class=\"small-input\">\r\n\t<button class=\"button\" onclick=\"generateInputs()\">\u2b9a<\/button>\r\n\t<br\/><br\/>\r\n\t<div id=\"inputContainer\"><\/div>\r\n\t<h3 style=\"font-size: 18px;color:#AE181E;font-family:KaTeX_Math, serif\" id=\"npvDisplay\">NPV = 0.00<\/h3>\r\n<\/div>\r\n\r\n<!-- Graph Board -->\r\n<div id=\"graphBoard\" style=\"display:block;\"><\/div>\r\n<!-- Partie documentation -->\r\n<div id=\"graphDoc\" style=\"display:none;font-family:KaTeX_Math, serif;font-size:4 vmin\">\r\n\t<br\/><br\/>\r\n\t<label style=\"margin:5px;\">Dans le XIIIeme si\u00e8cle naissant, <a href=\"https:\/\/www.bibmath.net\/bios\/index.php?action=affiche&#038;quoi=fibonacci\">L\u00e9onardo Fibonacci<\/a> a offert la num\u00e9rotation hindo-arabique \u00e0 l&#8217;occident. Dans son Livre &#8220;Liber Abaci&#8221;, il invente la  $\\textit{Valeur Pr\u00e9sente}$ qui est \u00e0 la base m\u00eame de l&#8217;approche \u00e9conomique. Si la &#8220;Capitalisation&#8221; (l&#8217;op\u00e9ration inverse) \u00e9tait connue des babiloniens, cette avanc\u00e9e a fa\u00e7onn\u00e9 le monde moderne.<br\/><br\/> L&#8217;\u00e9tape suivante n&#8217;est apparue qu&#8217;avec la publication de la Th\u00e9orie G\u00e9n\u00e9rale de l&#8217;Emploi, de l&#8217;Int\u00e9r\u00eat et de la Monnaie&#8221; de <a href=\"https:\/\/www.economie.gouv.fr\/facileco\/john-maynard-keynes\" >John Maynard Keynes<\/a> en 1936. Il s&#8217;agit du Taux de Rendement Interne. La page propos\u00e9e ici permet le calcul de la Valeur Pr\u00e9sente Nette (NPV) et du Taux de Rendement Interne (IRT). Etant donn\u00e9 $I_0$, la d\u00e9pense d&#8217;investissement initial, du flux de Cash-Flow $R_1$, $R_2$,&#8230;, $R_{T_1}$ La  $\\textit{Valeur Pr\u00e9sente Nette}$ et de la valeur r\u00e9siduelle de l&#8217;investissement $V_{T+1}$ est d\u00e9finie comme :$$V_0 = -I_0 + \\sum_{t=1}^{T} \\frac{R_t}{(1+ i)^t} + \\frac{V_{T+1}}{(1+ i)^{T+1}}$$ pour $i$ un taux d&#8217;int\u00e9r\u00eat donn\u00e9 et le Taux de Rendement Interne est le taux d&#8217;int\u00e9r\u00eat tel que $V_0 = 0$. La page donne aussi la fonction $V_0(i)$, ce qui permet de modifier le taux d&#8217;int\u00e9r\u00eat et de r\u00e9ajuster \u00e0 la vol\u00e9e la valeur pr\u00e9sente.<\/label>\r\n<\/div>\r\n\r\n<\/div>\r\n\t  \r\n\r\n\n\n<script type='text\/javascript'>\nvar id = \"5410\";<\/script>\n<script type='text\/javascript' src='https:\/\/spgoo.org\/wp-content\/uploads\/winp-css-js\/5410.js?ver=1741082246'><\/script>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-5412","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/spgoo.org\/index.php?rest_route=\/wp\/v2\/pages\/5412","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/spgoo.org\/index.php?rest_route=\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/spgoo.org\/index.php?rest_route=\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/spgoo.org\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/spgoo.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=5412"}],"version-history":[{"count":1,"href":"https:\/\/spgoo.org\/index.php?rest_route=\/wp\/v2\/pages\/5412\/revisions"}],"predecessor-version":[{"id":5413,"href":"https:\/\/spgoo.org\/index.php?rest_route=\/wp\/v2\/pages\/5412\/revisions\/5413"}],"wp:attachment":[{"href":"https:\/\/spgoo.org\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=5412"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}