{"id":351,"date":"2019-10-28T14:26:04","date_gmt":"2019-10-28T13:26:04","guid":{"rendered":"http:\/\/miramegias.com\/emodulos\/?page_id=351"},"modified":"2026-03-10T11:42:07","modified_gmt":"2026-03-10T10:42:07","slug":"rentas-fraccionadas-y-variables","status":"publish","type":"page","link":"https:\/\/miramegias.com\/emodulos\/rentas-fraccionadas-y-variables\/","title":{"rendered":"Rentas fraccionadas y variables"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-page\" data-elementor-id=\"351\" class=\"elementor elementor-351\">\n\t\t\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-7c9d4af elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"7c9d4af\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-0e3b836\" data-id=\"0e3b836\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-6c0a0ed elementor-widget elementor-widget-text-editor\" data-id=\"6c0a0ed\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\tUna vez conocidas las rentas financieras, se ampl\u00eda en este apartado el estudio a las rentas financieras fraccionadas.\n\nIgualmente, se introduce al alumno en las rentas variables en general y de modo particular en las rentas variables en progresi\u00f3n aritm\u00e9tica y geom\u00e9trica, as\u00ed como en el c\u00e1lculo aproximado y mediante el empleo de la calculadora financiera y la hoja de c\u00e1lculo de la VAN y TIR que posteriormente se emplear\u00e1n en el estudio de los pr\u00e9stamos.\n\nConocer y trabajar con las expresiones modificadas de las rentas financieras,\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-4231ed2 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"4231ed2\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-top-column elementor-element elementor-element-e14ea06\" data-id=\"e14ea06\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-c648672 elementor-widget elementor-widget-shortcode\" data-id=\"c648672\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"shortcode.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-shortcode\"><center>\n\\(\n% Funci'on financiera VA pospagable\n\\newcommand{\\eva}[2]{%\n    \\textrm{$a$}_{\\fin{#1} #2}\n    %a_{\\fin{#1} #2}\n}\n\n% Funci\u00f3n financiera VF pospagable\n\\newcommand{\\evf}[2]{%\ns_{\\fin{#1} #2}\n%s_{\\fin{#1} #2}\n}\n\n% Funci\u00f3n financiera\n\\newcommand{\\fin}[2]{{%\n#1 \\mkern-18.85mu\\rule[0.55em]{10pt}{.85pt}\\rule{.85pt}{6.5pt}\\, #2 %\n}}\n\n\\eva{n~m}{i^{(m)}} = \\displaystyle\\frac{1- \\left(1+i^{(m)}\\right)^{-n~m}}{i^{(m)}}\n\n\\)\n<\/center><\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-top-column elementor-element elementor-element-a425e51\" data-id=\"a425e51\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-a814d0e elementor-widget elementor-widget-shortcode\" data-id=\"a814d0e\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"shortcode.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-shortcode\"><center>\n\\(\n\n\\evf{n~m}{i^{(m)}} = \\displaystyle\\frac{\\left(1+i^{(m)}\\right)^{n~m} - 1}{i^{(m)}}\n\n\n\\)\n<\/center><\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-7898e8d elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"7898e8d\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-357f32b\" data-id=\"357f32b\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-0e27488 elementor-widget elementor-widget-heading\" data-id=\"0e27488\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">Documentaci\u00f3n<\/h3>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-8c341e3 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"8c341e3\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-5545216\" data-id=\"5545216\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<section class=\"elementor-section elementor-inner-section elementor-element elementor-element-006959b elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"006959b\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-inner-column elementor-element elementor-element-abba6c0\" data-id=\"abba6c0\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-637f0dd elementor-view-framed elementor-shape-circle elementor-position-block-start elementor-mobile-position-block-start elementor-widget elementor-widget-icon-box\" data-id=\"637f0dd\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"icon-box.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-icon-box-wrapper\">\n\n\t\t\t\t\t\t<div class=\"elementor-icon-box-icon\">\n\t\t\t\t<a href=\"https:\/\/miramegias.com\/emodulos\/wp-content\/uploads\/2020\/04\/mof06sa.pdf\" target=\"_blank\" class=\"elementor-icon\" tabindex=\"-1\" aria-label=\"Presentaci\u00f3n de la Unidad\">\n\t\t\t\t<i aria-hidden=\"true\" class=\"far fa-file-pdf\"><\/i>\t\t\t\t<\/a>\n\t\t\t<\/div>\n\t\t\t\n\t\t\t\t\t\t<div class=\"elementor-icon-box-content\">\n\n\t\t\t\t\t\t\t\t\t<h4 class=\"elementor-icon-box-title\">\n\t\t\t\t\t\t<a href=\"https:\/\/miramegias.com\/emodulos\/wp-content\/uploads\/2020\/04\/mof06sa.pdf\" target=\"_blank\" >\n\t\t\t\t\t\t\tPresentaci\u00f3n de la Unidad\t\t\t\t\t\t<\/a>\n\t\t\t\t\t<\/h4>\n\t\t\t\t\n\t\t\t\t\n\t\t\t<\/div>\n\t\t\t\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-inner-column elementor-element elementor-element-a1797d4\" data-id=\"a1797d4\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-a48b434 elementor-view-framed elementor-shape-circle elementor-position-block-start elementor-mobile-position-block-start elementor-widget elementor-widget-icon-box\" data-id=\"a48b434\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"icon-box.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-icon-box-wrapper\">\n\n\t\t\t\t\t\t<div class=\"elementor-icon-box-icon\">\n\t\t\t\t<a href=\"https:\/\/miramegias.com\/emodulos\/wp-content\/uploads\/2020\/03\/mof_06.pdf\" target=\"_blank\" class=\"elementor-icon\" tabindex=\"-1\" aria-label=\"Texto de la Unidad (A4)\">\n\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-file-pdf\"><\/i>\t\t\t\t<\/a>\n\t\t\t<\/div>\n\t\t\t\n\t\t\t\t\t\t<div class=\"elementor-icon-box-content\">\n\n\t\t\t\t\t\t\t\t\t<h4 class=\"elementor-icon-box-title\">\n\t\t\t\t\t\t<a href=\"https:\/\/miramegias.com\/emodulos\/wp-content\/uploads\/2020\/03\/mof_06.pdf\" target=\"_blank\" >\n\t\t\t\t\t\t\tTexto de la Unidad (A4)\t\t\t\t\t\t<\/a>\n\t\t\t\t\t<\/h4>\n\t\t\t\t\n\t\t\t\t\n\t\t\t<\/div>\n\t\t\t\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-483afb8 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"483afb8\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-ee7d0c4\" data-id=\"ee7d0c4\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-1f12537 elementor-widget elementor-widget-shortcode\" data-id=\"1f12537\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"shortcode.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-shortcode\">    <div class=\"mi-pdf-plus-wrap\">\r\n        <a class=\"mi-pdf-plus-ampliar\"\r\n           href=\"https:\/\/miramegias.com\/emodulos\/wp-content\/uploads\/2020\/04\/mof06sa.pdf\"\r\n           target=\"_blank\"\r\n           rel=\"noopener\"\r\n           title=\"Abrir en pantalla completa\"\r\n           aria-label=\"Abrir en pantalla completa\"\r\n           style=\"top:10px; right:10px;\">\r\n            <svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\"\r\n                 width=\"18\"\r\n                 height=\"18\"\r\n                 viewBox=\"0 0 24 24\"\r\n                 fill=\"none\"\r\n                 stroke=\"currentColor\"\r\n                 stroke-width=\"2\"\r\n                 stroke-linecap=\"round\"\r\n                 stroke-linejoin=\"round\">\r\n                <polyline points=\"15 3 21 3 21 9\"><\/polyline>\r\n                <polyline points=\"9 21 3 21 3 15\"><\/polyline>\r\n                <line x1=\"21\" y1=\"3\" x2=\"14\" y2=\"10\"><\/line>\r\n                <line x1=\"3\" y1=\"21\" x2=\"10\" y2=\"14\"><\/line>\r\n            <\/svg>\r\n        <\/a>\r\n\r\n        <div class=\"wp-block-pdfemb-pdf-embedder-viewer\"><a href=\"https:\/\/miramegias.com\/emodulos\/wp-content\/uploads\/2020\/04\/mof06sa.pdf\" class=\"pdfemb-viewer\" style=\"\" data-width=\"max\" data-height=\"max\" data-toolbar=\"bottom\" data-toolbar-fixed=\"on\">mof06sa<\/a><\/div>    <\/div>\r\n    <\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-3f62f50 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"3f62f50\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-230dbca\" data-id=\"230dbca\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-ae504b6 elementor-widget elementor-widget-heading\" data-id=\"ae504b6\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">Enlaces particulares<\/h3>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-f80fba6 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"f80fba6\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-b35904b\" data-id=\"b35904b\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-b8646c2 elementor-widget elementor-widget-video\" data-id=\"b8646c2\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;youtube_url&quot;:&quot;https:\\\/\\\/youtu.be\\\/j8XyHlLb4os&quot;,&quot;video_type&quot;:&quot;youtube&quot;,&quot;controls&quot;:&quot;yes&quot;}\" data-widget_type=\"video.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-wrapper elementor-open-inline\">\n\t\t\t<div class=\"elementor-video\"><\/div>\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-d977750 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"d977750\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-2ae5816\" data-id=\"2ae5816\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-3e05643 elementor-widget elementor-widget-video\" data-id=\"3e05643\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;youtube_url&quot;:&quot;https:\\\/\\\/youtu.be\\\/ToDu2zA540o&quot;,&quot;video_type&quot;:&quot;youtube&quot;,&quot;controls&quot;:&quot;yes&quot;}\" data-widget_type=\"video.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-wrapper elementor-open-inline\">\n\t\t\t<div class=\"elementor-video\"><\/div>\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-5f680f8 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"5f680f8\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-ad38566\" data-id=\"ad38566\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-8c343e5 elementor-widget elementor-widget-video\" data-id=\"8c343e5\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;youtube_url&quot;:&quot;https:\\\/\\\/youtu.be\\\/o9kUG89M3uA&quot;,&quot;video_type&quot;:&quot;youtube&quot;,&quot;controls&quot;:&quot;yes&quot;}\" data-widget_type=\"video.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-wrapper elementor-open-inline\">\n\t\t\t<div class=\"elementor-video\"><\/div>\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-e2290cd elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"e2290cd\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-2a6bc1c\" data-id=\"2a6bc1c\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-67bfbfd elementor-widget elementor-widget-video\" data-id=\"67bfbfd\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;youtube_url&quot;:&quot;https:\\\/\\\/youtu.be\\\/QPh6Op0BfAY&quot;,&quot;video_type&quot;:&quot;youtube&quot;,&quot;controls&quot;:&quot;yes&quot;}\" data-widget_type=\"video.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-wrapper elementor-open-inline\">\n\t\t\t<div class=\"elementor-video\"><\/div>\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-44c1ce5 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"44c1ce5\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-642cdd3\" data-id=\"642cdd3\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-8380fb7 elementor-widget elementor-widget-video\" data-id=\"8380fb7\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;youtube_url&quot;:&quot;https:\\\/\\\/youtu.be\\\/TWsuyz52RHY&quot;,&quot;video_type&quot;:&quot;youtube&quot;,&quot;controls&quot;:&quot;yes&quot;}\" data-widget_type=\"video.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-wrapper elementor-open-inline\">\n\t\t\t<div class=\"elementor-video\"><\/div>\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-6b1290d elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"6b1290d\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-333a613\" data-id=\"333a613\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-f186195 elementor-widget elementor-widget-text-editor\" data-id=\"f186195\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\tEn el texto sobre Operaciones Financieras de Jos\u00e9 Tovar del blog de la UDIMA, puedes consultar las siguientes entradas que explican:\n<ul>\n \t<li>Las <a href=\"https:\/\/blogs.udima.es\/administracion-y-direccion-de-empresas\/rentas-variables-en-progresion-geometrica-i-p20-htm\/\" target=\"_blank\" rel=\"noopener\">rentas variables en progresi\u00f3n geom\u00e9trica<\/a>,<\/li>\n \t<li>Las <a href=\"https:\/\/blogs.udima.es\/administracion-y-direccion-de-empresas\/4-rentas-variables-progresion-aritmetica-html\/\" target=\"_blank\" rel=\"noopener\">rentas variables en progresi\u00f3n aritm\u00e9tica<\/a>.<\/li>\n<\/ul>\nTutorial Excel: c\u00f3mo realizar c\u00e1lculos de VAN y TIR. Gemma Cid explica en\u00a0<a href=\"https:\/\/patrimonia.bsm.upf.edu\/como-realizar-calculos-van-tir\/\" target=\"_blank\" rel=\"noopener\">este tutorial<\/a>\u00a0c\u00f3mo utilizar la hoja de c\u00e1lculo para la soluci\u00f3n del VAN o la TIR.\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-7bb82e8 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"7bb82e8\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-af1975d\" data-id=\"af1975d\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-5ec62f1 elementor-widget elementor-widget-heading\" data-id=\"5ec62f1\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">Ejercicios de comprobaci\u00f3n<\/h3>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-f7ae4a1 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"f7ae4a1\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-1437f66\" data-id=\"1437f66\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-4ef0d95 elementor-widget elementor-widget-shortcode\" data-id=\"4ef0d95\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"shortcode.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-shortcode\"><div id=\"watu_quiz\" class=\"quiz-area \">\n<p><h4>Rentas fraccionadas y variables<\/h4>\n<\/p><form action=\"\" method=\"post\" class=\"quiz-form \" id=\"quiz-7\" onsubmit=\"return Watu.submitResult(this)\">\n<div class='watu-question' id='question-1'><div class='question-content'><p><span class='watu_num'>1. <\/span>Determinar el valor actual de una renta de 4 a\u00f1os de duraci\u00f3n al 5% de inter\u00e9s anual efectivo y cuyos t\u00e9rminos son de 625 \u20ac mensuales.<\/p>\n<\/div><input type='hidden' name='question_id[]' value='25' \/><div class='watu-questions-wrap '><input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='965' \/><div class='watu-question-choice'><input type='radio' name='answer-25[]' id='answer-id-965' class='answer answer-1  answerof-25' value='965' \/>&nbsp;<label for='answer-id-965' id='answer-label-965' class=' answer label-1'><span class='answer'>11.298,22 \u20ac<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='964' \/><div class='watu-question-choice'><input type='radio' name='answer-25[]' id='answer-id-964' class='answer answer-1  answerof-25' value='964' \/>&nbsp;<label for='answer-id-964' id='answer-label-964' class=' answer label-1'><span class='answer'>27.139,35 \u20ac<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='966' \/><div class='watu-question-choice'><input type='radio' name='answer-25[]' id='answer-id-966' class='answer answer-1  answerof-25' value='966' \/>&nbsp;<label for='answer-id-966' id='answer-label-966' class=' answer label-1'><span class='answer'>2.216,22 \u20ac<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='963' \/><div class='watu-question-choice'><input type='radio' name='answer-25[]' id='answer-id-963' class='answer answer-1  answerof-25' value='963' \/>&nbsp;<label for='answer-id-963' id='answer-label-963' class=' answer label-1'><span class='answer'>27.198,72 \u20ac<\/span><\/label><\/div>\n<\/div><input type='hidden' id='questionType1' value='radio' class='required'><\/div><div class='watu-question' id='question-2'><div class='question-content'><p><span class='watu_num'>2. <\/span>Determinar el valor final de una renta de 500 \u20ac mensuales que incrementa un 10% anual durante 15 a\u00f1os si se valora a un inter\u00e9s del 3%.<\/p>\n<\/div><input type='hidden' name='question_id[]' value='27' \/><div class='watu-questions-wrap '><input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='1391' \/><div class='watu-question-choice'><input type='radio' name='answer-27[]' id='answer-id-1391' class='answer answer-2  answerof-27' value='1391' \/>&nbsp;<label for='answer-id-1391' id='answer-label-1391' class=' answer label-2'><span class='answer'>22.346,65 \u20ac<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='1389' \/><div class='watu-question-choice'><input type='radio' name='answer-27[]' id='answer-id-1389' class='answer answer-2  answerof-27' value='1389' \/>&nbsp;<label for='answer-id-1389' id='answer-label-1389' class=' answer label-2'><span class='answer'>228.155,95 \u20ac<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='1388' \/><div class='watu-question-choice'><input type='radio' name='answer-27[]' id='answer-id-1388' class='answer answer-2  answerof-27' value='1388' \/>&nbsp;<label for='answer-id-1388' id='answer-label-1388' class=' answer label-2'><span class='answer'>233.033,06 \u20ac<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='1390' \/><div class='watu-question-choice'><input type='radio' name='answer-27[]' id='answer-id-1390' class='answer answer-2  answerof-27' value='1390' \/>&nbsp;<label for='answer-id-1390' id='answer-label-1390' class=' answer label-2'><span class='answer'>18.709,14 \u20ac<\/span><\/label><\/div>\n<\/div><input type='hidden' id='questionType2' value='radio' class='required'><\/div><div class='watu-question' id='question-3'><div class='question-content'><p><span class='watu_num'>3. <\/span>Obtener el valor final de una renta de 200 \u20ac mensuales dentro de 10 a\u00f1os, con un incremento anual de 50 \u20ac para cada uno de sus t\u00e9rminos valorada al inter\u00e9s efectivo del 1%.<\/p>\n<\/div><input type='hidden' name='question_id[]' value='28' \/><div class='watu-questions-wrap '><input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='1269' \/><div class='watu-question-choice'><input type='radio' name='answer-28[]' id='answer-id-1269' class='answer answer-3  answerof-28' value='1269' \/>&nbsp;<label for='answer-id-1269' id='answer-label-1269' class=' answer label-3'><span class='answer'>34.020,65 \u20ac<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='1268' \/><div class='watu-question-choice'><input type='radio' name='answer-28[]' id='answer-id-1268' class='answer answer-3  answerof-28' value='1268' \/>&nbsp;<label for='answer-id-1268' id='answer-label-1268' class=' answer label-3'><span class='answer'>27.420,37 \u20ac<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='1270' \/><div class='watu-question-choice'><input type='radio' name='answer-28[]' id='answer-id-1270' class='answer answer-3  answerof-28' value='1270' \/>&nbsp;<label for='answer-id-1270' id='answer-label-1270' class=' answer label-3'><span class='answer'>27.127,50<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='1267' \/><div class='watu-question-choice'><input type='radio' name='answer-28[]' id='answer-id-1267' class='answer answer-3  answerof-28' value='1267' \/>&nbsp;<label for='answer-id-1267' id='answer-label-1267' class=' answer label-3'><span class='answer'>27.535,25 \u20ac<\/span><\/label><\/div>\n<\/div><input type='hidden' id='questionType3' value='radio' class='required'><\/div><div class='watu-question' id='question-4'><div class='question-content'><p><span class='watu_num'>4. <\/span>Determinar el valor actual de una renta de 10 t\u00e9rminos, sabiendo que la cuant\u00eda del primero es de 2.000 \u20ac y los siguientes aumentan 100 \u20ac cada uno, si el tipo de inter\u00e9s es del 2%.<\/p>\n<\/div><input type='hidden' name='question_id[]' value='26' \/><div class='watu-questions-wrap '><input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='1020' \/><div class='watu-question-choice'><input type='radio' name='answer-26[]' id='answer-id-1020' class='answer answer-4  answerof-26' value='1020' \/>&nbsp;<label for='answer-id-1020' id='answer-label-1020' class=' answer label-4'><span class='answer'>14.887,17 \u20ac<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='1022' \/><div class='watu-question-choice'><input type='radio' name='answer-26[]' id='answer-id-1022' class='answer answer-4  answerof-26' value='1022' \/>&nbsp;<label for='answer-id-1022' id='answer-label-1022' class=' answer label-4'><span class='answer'>16.221,79 \u20ac<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='1019' \/><div class='watu-question-choice'><input type='radio' name='answer-26[]' id='answer-id-1019' class='answer answer-4  answerof-26' value='1019' \/>&nbsp;<label for='answer-id-1019' id='answer-label-1019' class=' answer label-4'><span class='answer'>21.860,68 \u20ac<\/span><\/label><\/div>\n<input type='hidden' name='answer_ids[]' class='watu-answer-ids' value='1021' \/><div class='watu-question-choice'><input type='radio' name='answer-26[]' id='answer-id-1021' class='answer answer-4  answerof-26' value='1021' \/>&nbsp;<label for='answer-id-1021' id='answer-label-1021' class=' answer label-4'><span class='answer'>17.965,17 \u20ac<\/span><\/label><\/div>\n<\/div><input type='hidden' id='questionType4' value='radio' class='required'><\/div><div style='display:none' id='question-5'><br \/><div class='question-content'><img decoding=\"async\" src=\"https:\/\/miramegias.com\/emodulos\/wp-content\/plugins\/watu\/loading.gif\" width=\"16\" height=\"16\" alt=\"Cargando ...\" title=\"Cargando ...\" \/>&nbsp;Cargando &#8230;<\/div><\/div><br \/>\n\t<p>Pregunta <span id='numQ'>1<\/span> de 4<\/p>\n\t\t<input type=\"button\" id=\"next-question\" value=\"Siguiente &gt;\"  \/>\n\t<input type=\"submit\" name=\"submit_no_ajax\" id=\"action-button\" class=\"watu-submit-button\" value=\"Enviar\" \/>\n<input type=\"hidden\" name=\"no_ajax\" value=\"1\"><input type=\"hidden\" name=\"do\" value=\"show_exam_result\">\n<input type=\"hidden\" name=\"post_id\" value=\"351\">\n<input type=\"hidden\" name=\"quiz_id\" value=\"7\" \/>\n<input type=\"hidden\" id=\"watuStartTime\" name=\"start_time\" value=\"2026-06-24 03:58:40\" \/>\n\t\t\n\t\t<input class=\"watu-beehive\" type=\"text\" value=\"_41d8f47661cb852c20fbc8c072f729ba\" id=\"watuAppSourceID7\">\n\t\t<input class=\"watu-beehive\" name=\"h_app_id\" type=\"text\" value=\"_0.20999100 1782266320\" id=\"watuAppID7\">\n<\/form>\n<\/div>\n<div id=\"watu-loading-result\" style=\"display:none;\">\n\t<p align=\"center\"><img decoding=\"async\" src=\"https:\/\/miramegias.com\/emodulos\/wp-content\/plugins\/watu\/loading.gif\" width=\"16\" height=\"16\" alt=\"Cargando\" title=\"Cargando\" \/><\/p>\n<\/div>\t\n<script type=\"text\/javascript\">\nvar exam_id=0;\nvar question_ids='';\nvar watuURL='';\njQuery(function($){\nquestion_ids = \"25,27,28,26\";\nexam_id = 7;\nWatu.exam_id = exam_id;\nWatu.qArr = question_ids.split(',');\nWatu.post_id = 351;\nWatu.singlePage = '0';\nWatu.hAppID = \"0.21000100 1782266320\";\nwatuURL = \"https:\/\/miramegias.com\/emodulos\/wp-admin\/admin-ajax.php\";\nWatu.noAlertUnanswered = 0;\n});\n<\/script><\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>Una vez conocidas las rentas financieras, se ampl\u00eda en este apartado el estudio a las rentas financieras fraccionadas. Igualmente, se introduce al [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":6,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-351","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/miramegias.com\/emodulos\/wp-json\/wp\/v2\/pages\/351","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/miramegias.com\/emodulos\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/miramegias.com\/emodulos\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/miramegias.com\/emodulos\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/miramegias.com\/emodulos\/wp-json\/wp\/v2\/comments?post=351"}],"version-history":[{"count":120,"href":"https:\/\/miramegias.com\/emodulos\/wp-json\/wp\/v2\/pages\/351\/revisions"}],"predecessor-version":[{"id":7149,"href":"https:\/\/miramegias.com\/emodulos\/wp-json\/wp\/v2\/pages\/351\/revisions\/7149"}],"wp:attachment":[{"href":"https:\/\/miramegias.com\/emodulos\/wp-json\/wp\/v2\/media?parent=351"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}