{"id":250,"date":"2016-12-22T19:50:50","date_gmt":"2016-12-22T19:50:50","guid":{"rendered":"http:\/\/rentabilitet.dk\/opgaver\/?page_id=250"},"modified":"2016-12-22T19:50:50","modified_gmt":"2016-12-22T19:50:50","slug":"rentes-og-annuitetsregning","status":"publish","type":"page","link":"https:\/\/rentabilitet.dk\/opgaver\/matematik\/rentes-og-annuitetsregning\/","title":{"rendered":"Rentes- og annuitetsregning"},"content":{"rendered":"<html xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:default=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n<style>\n.docxpressoPlugin {\n\tfont-size: 83.35%;\n}\n\n.h5p_layout {\n    box-sizing: content-box !important;\n}\n\n.h5p_layout *{\n    float: none;\n    text-align: initial;\n\tbox-sizing: border-box;\n}\n\/*to make sure that floating elements are always inside the document bounds*\/\n.h5p_layout:after {\n    content: \" \";\n    display: block;\n    height: 0;\n    clear: both;\n    visibility: hidden;\n}\n\/* a default layout for 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li:before {counter-increment: ulLFO4_1;content: counter(ulLFO4_1, lower-latin)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a54871f8ac12 ul.LFO4 ul ul {counter-reset: ulLFO4_3;margin-left: -0.75in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO4 li ul li {text-indent: -0.25in;margin-left: 72pt;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO4 li ul li:before {counter-increment: ulLFO4_2;content: counter(ulLFO4_2, lower-latin)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a54871f8ac12 ul.LFO4 ul ul ul {counter-reset: ulLFO4_4;margin-left: -1.25in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO4 li ul li ul li {text-indent: -0.25in;margin-left: 108pt;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO4 li ul li ul li:before {counter-increment: ulLFO4_3;content: counter(ulLFO4_3, lower-latin)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a54871f8ac12 ul.LFO4 ul ul ul ul {counter-reset: ulLFO4_5;margin-left: -1.75in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO4 li ul li ul li ul li {text-indent: -0.25in;margin-left: 144pt;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO4 li ul li ul li ul li:before {counter-increment: ulLFO4_4;content: counter(ulLFO4_4, lower-latin)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a54871f8ac12 ul.LFO4 ul ul ul ul ul {counter-reset: ulLFO4_6;margin-left: -2.25in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO4 li ul li ul li ul li ul li {text-indent: -0.25in;margin-left: 180pt;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO4 li ul li ul li ul li ul li:before {counter-increment: ulLFO4_5;content: counter(ulLFO4_5, lower-latin)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a54871f8ac12 ul.LFO4 ul ul ul ul ul ul {counter-reset: ulLFO4_7;margin-left: -2.75in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO4 li ul li ul li ul li ul li ul li {text-indent: -0.25in;margin-left: 216pt;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO4 li ul li ul li ul li ul li ul li:before {counter-increment: ulLFO4_6;content: counter(ulLFO4_6, lower-latin)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a54871f8ac12 ul.LFO4 ul ul ul ul ul ul ul {counter-reset: ulLFO4_8;margin-left: -3.25in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO4 li ul li ul li ul li ul li ul li ul li {text-indent: -0.25in;margin-left: 252pt;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO4 li ul li ul li ul li ul li ul li ul li:before {counter-increment: ulLFO4_7;content: counter(ulLFO4_7, lower-latin)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a54871f8ac12 ul.LFO4 ul ul ul ul ul ul ul ul {counter-reset: ulLFO4_9;margin-left: -3.75in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO4 li ul li ul li ul li ul li ul li ul li ul li {text-indent: -0.25in;margin-left: 288pt;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO4 li ul li ul li ul li ul li ul li ul li ul li:before {counter-increment: ulLFO4_8;content: counter(ulLFO4_8, lower-latin)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a54871f8ac12 ul.LFO4 ul ul ul ul ul ul ul ul ul {counter-reset: ulLFO4_10;margin-left: -4.25in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO4 li ul li ul li ul li ul li ul li ul li ul li ul li {text-indent: -0.25in;margin-left: 324pt;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO4 li ul li ul li ul li ul li ul li ul li ul li ul li:before {counter-increment: ulLFO4_9;content: counter(ulLFO4_9, lower-latin)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a54871f8ac12 ul.LFO5 {margin-left: 0;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO5 ul {margin-left: -0.25in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO5 li {text-indent: -0.25in;margin-left: 36pt;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO5 li:before {font-family: Symbol !important;font-size: 10pt !important;content: \"\\2022\";font-family: Verdana;counter-increment: ulLFO5_1;margin-left: -0.25in;display: table-cell;display: table-cell;}\n div#h5p_6a54871f8ac12 ul.LFO5 ul ul {margin-left: -0.75in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO5 li ul li {text-indent: -0.25in;margin-left: 72pt;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO5 li ul li:before {font-family: Symbol !important;font-size: 10pt !important;content: \"\\2022\";font-family: Verdana;counter-increment: ulLFO5_2;margin-left: -0.25in;display: table-cell;display: table-cell;}\n div#h5p_6a54871f8ac12 ul.LFO5 ul ul ul {margin-left: -1.25in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO5 li ul li ul li {text-indent: -0.25in;margin-left: 108pt;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO5 li ul li ul li:before {font-family: Symbol !important;font-size: 10pt !important;content: \"\\2022\";font-family: Verdana;counter-increment: ulLFO5_3;margin-left: -0.25in;display: table-cell;display: table-cell;}\n div#h5p_6a54871f8ac12 ul.LFO5 ul ul ul ul {margin-left: -1.75in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO5 li ul li ul li ul li {text-indent: -0.25in;margin-left: 144pt;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO5 li ul li ul li ul li:before {font-family: Symbol !important;font-size: 10pt !important;content: \"\\2022\";font-family: Verdana;counter-increment: ulLFO5_4;margin-left: -0.25in;display: table-cell;display: table-cell;}\n div#h5p_6a54871f8ac12 ul.LFO5 ul ul ul ul ul {margin-left: -2.25in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO5 li ul li ul li ul li ul li {text-indent: -0.25in;margin-left: 180pt;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO5 li ul li ul li ul li ul li:before {font-family: Symbol !important;font-size: 10pt !important;content: \"\\2022\";font-family: Verdana;counter-increment: ulLFO5_5;margin-left: -0.25in;display: table-cell;display: table-cell;}\n div#h5p_6a54871f8ac12 ul.LFO5 ul ul ul ul ul ul {margin-left: -2.75in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO5 li ul li ul li ul li ul li ul li {text-indent: -0.25in;margin-left: 216pt;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO5 li ul li ul li ul li ul li ul li:before {font-family: Symbol !important;font-size: 10pt !important;content: \"\\2022\";font-family: Verdana;counter-increment: ulLFO5_6;margin-left: -0.25in;display: table-cell;display: table-cell;}\n div#h5p_6a54871f8ac12 ul.LFO5 ul ul ul ul ul ul ul {margin-left: -3.25in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO5 li ul li ul li ul li ul li ul li ul li {text-indent: -0.25in;margin-left: 252pt;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO5 li ul li ul li ul li ul li ul li ul li:before {font-family: Symbol !important;font-size: 10pt !important;content: \"\\2022\";font-family: Verdana;counter-increment: ulLFO5_7;margin-left: -0.25in;display: table-cell;display: table-cell;}\n div#h5p_6a54871f8ac12 ul.LFO5 ul ul ul ul ul ul ul ul {margin-left: -3.75in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO5 li ul li ul li ul li ul li ul li ul li ul li {text-indent: -0.25in;margin-left: 288pt;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO5 li ul li ul li ul li ul li ul li ul li ul li:before {font-family: Symbol !important;font-size: 10pt !important;content: \"\\2022\";font-family: Verdana;counter-increment: ulLFO5_8;margin-left: -0.25in;display: table-cell;display: table-cell;}\n div#h5p_6a54871f8ac12 ul.LFO5 ul ul ul ul ul ul ul ul ul {margin-left: -4.25in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO5 li ul li ul li ul li ul li ul li ul li ul li ul li {text-indent: -0.25in;margin-left: 324pt;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO5 li ul li ul li ul li ul li ul li ul li ul li ul li:before {font-family: Symbol !important;font-size: 10pt !important;content: \"\\2022\";font-family: Verdana;counter-increment: ulLFO5_9;margin-left: -0.25in;display: table-cell;display: table-cell;}\n div#h5p_6a54871f8ac12 ul.LFO6 {counter-reset: ulLFO6_1;margin-left: 0;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO6 ul {counter-reset: ulLFO6_2;margin-left: -0.25in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO6 li {text-indent: -0.25in;margin-left: 36pt;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO6 li:before {counter-increment: ulLFO6_1;content: counter(ulLFO6_1, lower-latin)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a54871f8ac12 ul.LFO6 ul ul {counter-reset: ulLFO6_3;margin-left: -0.75in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO6 li ul li {text-indent: -0.25in;margin-left: 72pt;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO6 li ul li:before {counter-increment: ulLFO6_2;content: counter(ulLFO6_2, lower-latin)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a54871f8ac12 ul.LFO6 ul ul ul {counter-reset: ulLFO6_4;margin-left: -1.25in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO6 li ul li ul li {text-indent: -0.25in;margin-left: 108pt;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO6 li ul li ul li:before {counter-increment: ulLFO6_3;content: counter(ulLFO6_3, lower-latin)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a54871f8ac12 ul.LFO6 ul ul ul ul {counter-reset: ulLFO6_5;margin-left: -1.75in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO6 li ul li ul li ul li {text-indent: -0.25in;margin-left: 144pt;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO6 li ul li ul li ul li:before {counter-increment: ulLFO6_4;content: counter(ulLFO6_4, lower-latin)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a54871f8ac12 ul.LFO6 ul ul ul ul ul {counter-reset: ulLFO6_6;margin-left: -2.25in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO6 li ul li ul li ul li ul li {text-indent: -0.25in;margin-left: 180pt;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO6 li ul li ul li ul li ul li:before {counter-increment: ulLFO6_5;content: counter(ulLFO6_5, lower-latin)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a54871f8ac12 ul.LFO6 ul ul ul ul ul ul {counter-reset: ulLFO6_7;margin-left: -2.75in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO6 li ul li ul li ul li ul li ul li {text-indent: -0.25in;margin-left: 216pt;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO6 li ul li ul li ul li ul li ul li:before {counter-increment: ulLFO6_6;content: counter(ulLFO6_6, lower-latin)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a54871f8ac12 ul.LFO6 ul ul ul ul ul ul ul {counter-reset: ulLFO6_8;margin-left: -3.25in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO6 li ul li ul li ul li ul li ul li ul li {text-indent: -0.25in;margin-left: 252pt;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO6 li ul li ul li ul li ul li ul li ul li:before {counter-increment: ulLFO6_7;content: counter(ulLFO6_7, lower-latin)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a54871f8ac12 ul.LFO6 ul ul ul ul ul ul ul ul {counter-reset: ulLFO6_9;margin-left: -3.75in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO6 li ul li ul li ul li ul li ul li ul li ul li {text-indent: -0.25in;margin-left: 288pt;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO6 li ul li ul li ul li ul li ul li ul li ul li:before {counter-increment: ulLFO6_8;content: counter(ulLFO6_8, lower-latin)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a54871f8ac12 ul.LFO6 ul ul ul ul ul ul ul ul ul {counter-reset: ulLFO6_10;margin-left: -4.25in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO6 li ul li ul li ul li ul li ul li ul li ul li ul li {text-indent: -0.25in;margin-left: 324pt;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO6 li ul li ul li ul li ul li ul li ul li ul li ul li:before {counter-increment: ulLFO6_9;content: counter(ulLFO6_9, lower-latin)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a54871f8ac12 ul.LFO7 {counter-reset: ulLFO7_1;margin-left: 0;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO7 ul {counter-reset: ulLFO7_2;margin-left: -0.25in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO7 li {text-indent: -0.25in;margin-left: 36pt;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO7 li:before {counter-increment: ulLFO7_1;content: counter(ulLFO7_1, lower-latin)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a54871f8ac12 ul.LFO7 ul ul {counter-reset: ulLFO7_3;margin-left: -0.75in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO7 li ul li {text-indent: -0.25in;margin-left: 72pt;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO7 li ul li:before {counter-increment: ulLFO7_2;content: counter(ulLFO7_2, lower-latin)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a54871f8ac12 ul.LFO7 ul ul ul {counter-reset: ulLFO7_4;margin-left: -1.25in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO7 li ul li ul li {text-indent: -0.25in;margin-left: 108pt;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO7 li ul li ul li:before {counter-increment: ulLFO7_3;content: counter(ulLFO7_3, lower-latin)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a54871f8ac12 ul.LFO7 ul ul ul ul {counter-reset: ulLFO7_5;margin-left: -1.75in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO7 li ul li ul li ul li {text-indent: -0.25in;margin-left: 144pt;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO7 li ul li ul li ul li:before {counter-increment: ulLFO7_4;content: counter(ulLFO7_4, lower-latin)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a54871f8ac12 ul.LFO7 ul ul ul ul ul {counter-reset: ulLFO7_6;margin-left: -2.25in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO7 li ul li ul li ul li ul li {text-indent: -0.25in;margin-left: 180pt;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO7 li ul li ul li ul li ul li:before {counter-increment: ulLFO7_5;content: counter(ulLFO7_5, lower-latin)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a54871f8ac12 ul.LFO7 ul ul ul ul ul ul {counter-reset: ulLFO7_7;margin-left: -2.75in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO7 li ul li ul li ul li ul li ul li {text-indent: -0.25in;margin-left: 216pt;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO7 li ul li ul li ul li ul li ul li:before {counter-increment: ulLFO7_6;content: counter(ulLFO7_6, lower-latin)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a54871f8ac12 ul.LFO7 ul ul ul ul ul ul ul {counter-reset: ulLFO7_8;margin-left: -3.25in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO7 li ul li ul li ul li ul li ul li ul li {text-indent: -0.25in;margin-left: 252pt;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO7 li ul li ul li ul li ul li ul li ul li:before {counter-increment: ulLFO7_7;content: counter(ulLFO7_7, lower-latin)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a54871f8ac12 ul.LFO7 ul ul ul ul ul ul ul ul {counter-reset: ulLFO7_9;margin-left: -3.75in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO7 li ul li ul li ul li ul li ul li ul li ul li {text-indent: -0.25in;margin-left: 288pt;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO7 li ul li ul li ul li ul li ul li ul li ul li:before {counter-increment: ulLFO7_8;content: counter(ulLFO7_8, lower-latin)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a54871f8ac12 ul.LFO7 ul ul ul ul ul ul ul ul ul {counter-reset: ulLFO7_10;margin-left: -4.25in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO7 li ul li ul li ul li ul li ul li ul li ul li ul li {text-indent: -0.25in;margin-left: 324pt;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO7 li ul li ul li ul li ul li ul li ul li ul li ul li:before {counter-increment: ulLFO7_9;content: counter(ulLFO7_9, lower-latin)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a54871f8ac12 ul.LFO8 {counter-reset: ulLFO8_1;margin-left: 0;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO8 ul {counter-reset: ulLFO8_2;margin-left: -0.25in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO8 li {text-indent: -0.25in;margin-left: 36pt;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO8 li:before {counter-increment: ulLFO8_1;content: counter(ulLFO8_1, lower-latin)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a54871f8ac12 ul.LFO8 ul ul {counter-reset: ulLFO8_3;margin-left: -0.75in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO8 li ul li {text-indent: -0.25in;margin-left: 72pt;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO8 li ul li:before {counter-increment: ulLFO8_2;content: counter(ulLFO8_2, lower-latin)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a54871f8ac12 ul.LFO8 ul ul ul {counter-reset: ulLFO8_4;margin-left: -1.25in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO8 li ul li ul li {text-indent: -0.25in;margin-left: 108pt;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO8 li ul li ul li:before {counter-increment: ulLFO8_3;content: counter(ulLFO8_3, lower-latin)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a54871f8ac12 ul.LFO8 ul ul ul ul {counter-reset: ulLFO8_5;margin-left: -1.75in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO8 li ul li ul li ul li {text-indent: -0.25in;margin-left: 144pt;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO8 li ul li ul li ul li:before {counter-increment: ulLFO8_4;content: counter(ulLFO8_4, lower-latin)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a54871f8ac12 ul.LFO8 ul ul ul ul ul {counter-reset: ulLFO8_6;margin-left: -2.25in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO8 li ul li ul li ul li ul li {text-indent: -0.25in;margin-left: 180pt;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO8 li ul li ul li ul li ul li:before {counter-increment: ulLFO8_5;content: counter(ulLFO8_5, lower-latin)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a54871f8ac12 ul.LFO8 ul ul ul ul ul ul {counter-reset: ulLFO8_7;margin-left: -2.75in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO8 li ul li ul li ul li ul li ul li {text-indent: -0.25in;margin-left: 216pt;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO8 li ul li ul li ul li ul li ul li:before {counter-increment: ulLFO8_6;content: counter(ulLFO8_6, lower-latin)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a54871f8ac12 ul.LFO8 ul ul ul ul ul ul ul {counter-reset: ulLFO8_8;margin-left: -3.25in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO8 li ul li ul li ul li ul li ul li ul li {text-indent: -0.25in;margin-left: 252pt;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO8 li ul li ul li ul li ul li ul li ul li:before {counter-increment: ulLFO8_7;content: counter(ulLFO8_7, lower-latin)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a54871f8ac12 ul.LFO8 ul ul ul ul ul ul ul ul {counter-reset: ulLFO8_9;margin-left: -3.75in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO8 li ul li ul li ul li ul li ul li ul li ul li {text-indent: -0.25in;margin-left: 288pt;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO8 li ul li ul li ul li ul li ul li ul li ul li:before {counter-increment: ulLFO8_8;content: counter(ulLFO8_8, lower-latin)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a54871f8ac12 ul.LFO8 ul ul ul ul ul ul ul ul ul {counter-reset: ulLFO8_10;margin-left: -4.25in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO8 li ul li ul li ul li ul li ul li ul li ul li ul li {text-indent: -0.25in;margin-left: 324pt;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO8 li ul li ul li ul li ul li ul li ul li ul li ul li:before {counter-increment: ulLFO8_9;content: counter(ulLFO8_9, lower-latin)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a54871f8ac12 ul.LFO9 {counter-reset: ulLFO9_1;margin-left: 0;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO9 ul {counter-reset: ulLFO9_2;margin-left: -0.25in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO9 li {text-indent: -0.25in;margin-left: 36pt;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO9 li:before {counter-increment: ulLFO9_1;content: counter(ulLFO9_1, lower-latin)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a54871f8ac12 ul.LFO9 ul ul {counter-reset: ulLFO9_3;margin-left: -0.75in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO9 li ul li {text-indent: -0.25in;margin-left: 72pt;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO9 li ul li:before {counter-increment: ulLFO9_2;content: counter(ulLFO9_2, lower-latin)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a54871f8ac12 ul.LFO9 ul ul ul {counter-reset: ulLFO9_4;margin-left: -1.25in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO9 li ul li ul li {text-indent: -0.25in;margin-left: 108pt;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO9 li ul li ul li:before {counter-increment: ulLFO9_3;content: counter(ulLFO9_3, lower-latin)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a54871f8ac12 ul.LFO9 ul ul ul ul {counter-reset: ulLFO9_5;margin-left: -1.75in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO9 li ul li ul li ul li {text-indent: -0.25in;margin-left: 144pt;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO9 li ul li ul li ul li:before {counter-increment: ulLFO9_4;content: counter(ulLFO9_4, lower-latin)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a54871f8ac12 ul.LFO9 ul ul ul ul ul {counter-reset: ulLFO9_6;margin-left: -2.25in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO9 li ul li ul li ul li ul li {text-indent: -0.25in;margin-left: 180pt;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO9 li ul li ul li ul li ul li:before {counter-increment: ulLFO9_5;content: counter(ulLFO9_5, lower-latin)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a54871f8ac12 ul.LFO9 ul ul ul ul ul ul {counter-reset: ulLFO9_7;margin-left: -2.75in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO9 li ul li ul li ul li ul li ul li {text-indent: -0.25in;margin-left: 216pt;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO9 li ul li ul li ul li ul li ul li:before {counter-increment: ulLFO9_6;content: counter(ulLFO9_6, lower-latin)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a54871f8ac12 ul.LFO9 ul ul ul ul ul ul ul {counter-reset: ulLFO9_8;margin-left: -3.25in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO9 li ul li ul li ul li ul li ul li ul li {text-indent: -0.25in;margin-left: 252pt;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO9 li ul li ul li ul li ul li ul li ul li:before {counter-increment: ulLFO9_7;content: counter(ulLFO9_7, lower-latin)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a54871f8ac12 ul.LFO9 ul ul ul ul ul ul ul ul {counter-reset: ulLFO9_9;margin-left: -3.75in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO9 li ul li ul li ul li ul li ul li ul li ul li {text-indent: -0.25in;margin-left: 288pt;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO9 li ul li ul li ul li ul li ul li ul li ul li:before {counter-increment: ulLFO9_8;content: counter(ulLFO9_8, lower-latin)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a54871f8ac12 ul.LFO9 ul ul ul ul ul ul ul ul ul {counter-reset: ulLFO9_10;margin-left: -4.25in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO9 li ul li ul li ul li ul li ul li ul li ul li ul li {text-indent: -0.25in;margin-left: 324pt;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO9 li ul li ul li ul li ul li ul li ul li ul li ul li:before {counter-increment: ulLFO9_9;content: counter(ulLFO9_9, lower-latin)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a54871f8ac12 ul.LFO10 {counter-reset: ulLFO10_1;margin-left: 0;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO10 ul {counter-reset: ulLFO10_2;margin-left: -0.25in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO10 li {text-indent: -0.25in;margin-left: 36pt;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO10 li:before {counter-increment: ulLFO10_1;content: counter(ulLFO10_1, decimal)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a54871f8ac12 ul.LFO10 ul ul {counter-reset: ulLFO10_3;margin-left: -0.75in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO10 li ul li {text-indent: -0.25in;margin-left: 72pt;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO10 li ul li:before {counter-increment: ulLFO10_2;content: counter(ulLFO10_2, decimal)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a54871f8ac12 ul.LFO10 ul ul ul {counter-reset: ulLFO10_4;margin-left: -1.25in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO10 li ul li ul li {text-indent: -0.25in;margin-left: 108pt;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO10 li ul li ul li:before {counter-increment: ulLFO10_3;content: counter(ulLFO10_3, decimal)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a54871f8ac12 ul.LFO10 ul ul ul ul {counter-reset: ulLFO10_5;margin-left: -1.75in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO10 li ul li ul li ul li {text-indent: -0.25in;margin-left: 144pt;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO10 li ul li ul li ul li:before {counter-increment: ulLFO10_4;content: counter(ulLFO10_4, decimal)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a54871f8ac12 ul.LFO10 ul ul ul ul ul {counter-reset: ulLFO10_6;margin-left: -2.25in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO10 li ul li ul li ul li ul li {text-indent: -0.25in;margin-left: 180pt;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO10 li ul li ul li ul li ul li:before {counter-increment: ulLFO10_5;content: counter(ulLFO10_5, decimal)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a54871f8ac12 ul.LFO10 ul ul ul ul ul ul {counter-reset: ulLFO10_7;margin-left: -2.75in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO10 li ul li ul li ul li ul li ul li {text-indent: -0.25in;margin-left: 216pt;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO10 li ul li ul li ul li ul li ul li:before {counter-increment: ulLFO10_6;content: counter(ulLFO10_6, decimal)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a54871f8ac12 ul.LFO10 ul ul ul ul ul ul ul {counter-reset: ulLFO10_8;margin-left: -3.25in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO10 li ul li ul li ul li ul li ul li ul li {text-indent: -0.25in;margin-left: 252pt;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO10 li ul li ul li ul li ul li ul li ul li:before {counter-increment: ulLFO10_7;content: counter(ulLFO10_7, decimal)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a54871f8ac12 ul.LFO10 ul ul ul ul ul ul ul ul {counter-reset: ulLFO10_9;margin-left: -3.75in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO10 li ul li ul li ul li ul li ul li ul li ul li {text-indent: -0.25in;margin-left: 288pt;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO10 li ul li ul li ul li ul li ul li ul li ul li:before {counter-increment: ulLFO10_8;content: counter(ulLFO10_8, decimal)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a54871f8ac12 ul.LFO10 ul ul ul ul ul ul ul ul ul {counter-reset: ulLFO10_10;margin-left: -4.25in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO10 li ul li ul li ul li ul li ul li ul li ul li ul li {text-indent: -0.25in;margin-left: 324pt;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO10 li ul li ul li ul li ul li ul li ul li ul li ul li:before {counter-increment: ulLFO10_9;content: counter(ulLFO10_9, decimal)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a54871f8ac12 ul.LFO11 {counter-reset: ulLFO11_1;margin-left: 0;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO11 ul {counter-reset: ulLFO11_2;margin-left: -0.25in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO11 li {text-indent: -0.25in;margin-left: 36pt;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO11 li:before {counter-increment: ulLFO11_1;content: counter(ulLFO11_1, decimal)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a54871f8ac12 ul.LFO11 ul ul {counter-reset: ulLFO11_3;margin-left: -0.75in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO11 li ul li {text-indent: -0.25in;margin-left: 72pt;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO11 li ul li:before {counter-increment: ulLFO11_2;content: counter(ulLFO11_2, decimal)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a54871f8ac12 ul.LFO11 ul ul ul {counter-reset: ulLFO11_4;margin-left: -1.25in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO11 li ul li ul li {text-indent: -0.25in;margin-left: 108pt;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO11 li ul li ul li:before {counter-increment: ulLFO11_3;content: counter(ulLFO11_3, decimal)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a54871f8ac12 ul.LFO11 ul ul ul ul {counter-reset: ulLFO11_5;margin-left: -1.75in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO11 li ul li ul li ul li {text-indent: -0.25in;margin-left: 144pt;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO11 li ul li ul li ul li:before {counter-increment: ulLFO11_4;content: counter(ulLFO11_4, decimal)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a54871f8ac12 ul.LFO11 ul ul ul ul ul {counter-reset: ulLFO11_6;margin-left: -2.25in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO11 li ul li ul li ul li ul li {text-indent: -0.25in;margin-left: 180pt;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO11 li ul li ul li ul li ul li:before {counter-increment: ulLFO11_5;content: counter(ulLFO11_5, decimal)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a54871f8ac12 ul.LFO11 ul ul ul ul ul ul {counter-reset: ulLFO11_7;margin-left: -2.75in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO11 li ul li ul li ul li ul li ul li {text-indent: -0.25in;margin-left: 216pt;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO11 li ul li ul li ul li ul li ul li:before {counter-increment: ulLFO11_6;content: counter(ulLFO11_6, decimal)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a54871f8ac12 ul.LFO11 ul ul ul ul ul ul ul {counter-reset: ulLFO11_8;margin-left: -3.25in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO11 li ul li ul li ul li ul li ul li ul li {text-indent: -0.25in;margin-left: 252pt;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO11 li ul li ul li ul li ul li ul li ul li:before {counter-increment: ulLFO11_7;content: counter(ulLFO11_7, decimal)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a54871f8ac12 ul.LFO11 ul ul ul ul ul ul ul ul {counter-reset: ulLFO11_9;margin-left: -3.75in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO11 li ul li ul li ul li ul li ul li ul li ul li {text-indent: -0.25in;margin-left: 288pt;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO11 li ul li ul li ul li ul li ul li ul li ul li:before {counter-increment: ulLFO11_8;content: counter(ulLFO11_8, decimal)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a54871f8ac12 ul.LFO11 ul ul ul ul ul ul ul ul ul {counter-reset: ulLFO11_10;margin-left: -4.25in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO11 li ul li ul li ul li ul li ul li ul li ul li ul li {text-indent: -0.25in;margin-left: 324pt;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO11 li ul li ul li ul li ul li ul li ul li ul li ul li:before {counter-increment: ulLFO11_9;content: counter(ulLFO11_9, decimal)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a54871f8ac12 ul.LFO12 {counter-reset: ulLFO12_1;margin-left: 0;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO12 ul {counter-reset: ulLFO12_2;margin-left: -0.25in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO12 li {text-indent: -0.25in;margin-left: 36pt;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO12 li:before {counter-increment: ulLFO12_1;content: counter(ulLFO12_1, decimal)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a54871f8ac12 ul.LFO12 ul ul {counter-reset: ulLFO12_3;margin-left: -0.75in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO12 li ul li {text-indent: -0.25in;margin-left: 72pt;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO12 li ul li:before {counter-increment: ulLFO12_2;content: counter(ulLFO12_2, decimal)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a54871f8ac12 ul.LFO12 ul ul ul {counter-reset: ulLFO12_4;margin-left: -1.25in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO12 li ul li ul li {text-indent: -0.25in;margin-left: 108pt;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO12 li ul li ul li:before {counter-increment: ulLFO12_3;content: counter(ulLFO12_3, decimal)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a54871f8ac12 ul.LFO12 ul ul ul ul {counter-reset: ulLFO12_5;margin-left: -1.75in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO12 li ul li ul li ul li {text-indent: -0.25in;margin-left: 144pt;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO12 li ul li ul li ul li:before {counter-increment: ulLFO12_4;content: counter(ulLFO12_4, decimal)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a54871f8ac12 ul.LFO12 ul ul ul ul ul {counter-reset: ulLFO12_6;margin-left: -2.25in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO12 li ul li ul li ul li ul li {text-indent: -0.25in;margin-left: 180pt;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO12 li ul li ul li ul li ul li:before {counter-increment: ulLFO12_5;content: counter(ulLFO12_5, decimal)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a54871f8ac12 ul.LFO12 ul ul ul ul ul ul {counter-reset: ulLFO12_7;margin-left: -2.75in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO12 li ul li ul li ul li ul li ul li {text-indent: -0.25in;margin-left: 216pt;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO12 li ul li ul li ul li ul li ul li:before {counter-increment: ulLFO12_6;content: counter(ulLFO12_6, decimal)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a54871f8ac12 ul.LFO12 ul ul ul ul ul ul ul {counter-reset: ulLFO12_8;margin-left: -3.25in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO12 li ul li ul li ul li ul li ul li ul li {text-indent: -0.25in;margin-left: 252pt;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO12 li ul li ul li ul li ul li ul li ul li:before {counter-increment: ulLFO12_7;content: counter(ulLFO12_7, decimal)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a54871f8ac12 ul.LFO12 ul ul ul ul ul ul ul ul {counter-reset: ulLFO12_9;margin-left: -3.75in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO12 li ul li ul li ul li ul li ul li ul li ul li {text-indent: -0.25in;margin-left: 288pt;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO12 li ul li ul li ul li ul li ul li ul li ul li:before {counter-increment: ulLFO12_8;content: counter(ulLFO12_8, decimal)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a54871f8ac12 ul.LFO12 ul ul ul ul ul ul ul ul ul {counter-reset: ulLFO12_10;margin-left: -4.25in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO12 li ul li ul li ul li ul li ul li ul li ul li ul li {text-indent: -0.25in;margin-left: 324pt;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO12 li ul li ul li ul li ul li ul li ul li ul li ul li:before {counter-increment: ulLFO12_9;content: counter(ulLFO12_9, decimal)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a54871f8ac12 ul.LFO13 {counter-reset: ulLFO13_1;margin-left: 0;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO13 ul {counter-reset: ulLFO13_2;margin-left: -0.25in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO13 li {text-indent: -0.25in;margin-left: 36pt;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO13 li:before {counter-increment: ulLFO13_1;content: counter(ulLFO13_1, decimal)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a54871f8ac12 ul.LFO13 ul ul {counter-reset: ulLFO13_3;margin-left: -0.75in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO13 li ul li {text-indent: -0.25in;margin-left: 72pt;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO13 li ul li:before {counter-increment: ulLFO13_2;content: counter(ulLFO13_2, lower-latin)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a54871f8ac12 ul.LFO13 ul ul ul {counter-reset: ulLFO13_4;margin-left: -1.375in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO13 li ul li ul li {text-indent: -0.125in;margin-left: 108pt;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO13 li ul li ul li:before {counter-increment: ulLFO13_3;content: counter(ulLFO13_3, lower-roman)  \". \";margin-left: -0.125in;display: table-cell;}\n div#h5p_6a54871f8ac12 ul.LFO13 ul ul ul ul {counter-reset: ulLFO13_5;margin-left: -1.75in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO13 li ul li ul li ul li {text-indent: -0.25in;margin-left: 144pt;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO13 li ul li ul li ul li:before {counter-increment: ulLFO13_4;content: counter(ulLFO13_4, decimal)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a54871f8ac12 ul.LFO13 ul ul ul ul ul {counter-reset: ulLFO13_6;margin-left: -2.25in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO13 li ul li ul li ul li ul li {text-indent: -0.25in;margin-left: 180pt;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO13 li ul li ul li ul li ul li:before {counter-increment: ulLFO13_5;content: counter(ulLFO13_5, lower-latin)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a54871f8ac12 ul.LFO13 ul ul ul ul ul ul {counter-reset: ulLFO13_7;margin-left: -2.875in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO13 li ul li ul li ul li ul li ul li {text-indent: -0.125in;margin-left: 216pt;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO13 li ul li ul li ul li ul li ul li:before {counter-increment: ulLFO13_6;content: counter(ulLFO13_6, lower-roman)  \". \";margin-left: -0.125in;display: table-cell;}\n div#h5p_6a54871f8ac12 ul.LFO13 ul ul ul ul ul ul ul {counter-reset: ulLFO13_8;margin-left: -3.25in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO13 li ul li ul li ul li ul li ul li ul li {text-indent: -0.25in;margin-left: 252pt;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO13 li ul li ul li ul li ul li ul li ul li:before {counter-increment: ulLFO13_7;content: counter(ulLFO13_7, decimal)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a54871f8ac12 ul.LFO13 ul ul ul ul ul ul ul ul {counter-reset: ulLFO13_9;margin-left: -3.75in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO13 li ul li ul li ul li ul li ul li ul li ul li {text-indent: -0.25in;margin-left: 288pt;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO13 li ul li ul li ul li ul li ul li ul li ul li:before {counter-increment: ulLFO13_8;content: counter(ulLFO13_8, lower-latin)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a54871f8ac12 ul.LFO13 ul ul ul ul ul ul ul ul ul {counter-reset: ulLFO13_10;margin-left: -4.375in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO13 li ul li ul li ul li ul li ul li ul li ul li ul li {text-indent: -0.125in;margin-left: 324pt;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO13 li ul li ul li ul li ul li ul li ul li ul li ul li:before {counter-increment: ulLFO13_9;content: counter(ulLFO13_9, lower-roman)  \". \";margin-left: -0.125in;display: table-cell;}\n div#h5p_6a54871f8ac12 ul.LFO14 {counter-reset: ulLFO14_1;margin-left: 0;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO14 ul {counter-reset: ulLFO14_2;margin-left: -0.25in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO14 li {text-indent: -0.25in;margin-left: 36pt;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO14 li:before {counter-increment: ulLFO14_1;content: counter(ulLFO14_1, lower-latin)  \") \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a54871f8ac12 ul.LFO14 ul ul {counter-reset: ulLFO14_3;margin-left: -0.75in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO14 li ul li {text-indent: -0.25in;margin-left: 72pt;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO14 li ul li:before {counter-increment: ulLFO14_2;content: counter(ulLFO14_2, lower-latin)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a54871f8ac12 ul.LFO14 ul ul ul {counter-reset: ulLFO14_4;margin-left: -1.375in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO14 li ul li ul li {text-indent: -0.125in;margin-left: 108pt;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO14 li ul li ul li:before {counter-increment: ulLFO14_3;content: counter(ulLFO14_3, lower-roman)  \". \";margin-left: -0.125in;display: table-cell;}\n div#h5p_6a54871f8ac12 ul.LFO14 ul ul ul ul {counter-reset: ulLFO14_5;margin-left: -1.75in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO14 li ul li ul li ul li {text-indent: -0.25in;margin-left: 144pt;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO14 li ul li ul li ul li:before {counter-increment: ulLFO14_4;content: counter(ulLFO14_4, decimal)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a54871f8ac12 ul.LFO14 ul ul ul ul ul {counter-reset: ulLFO14_6;margin-left: -2.25in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO14 li ul li ul li ul li ul li {text-indent: -0.25in;margin-left: 180pt;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO14 li ul li ul li ul li ul li:before {counter-increment: ulLFO14_5;content: counter(ulLFO14_5, lower-latin)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a54871f8ac12 ul.LFO14 ul ul ul ul ul ul {counter-reset: ulLFO14_7;margin-left: -2.875in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO14 li ul li ul li ul li ul li ul li {text-indent: -0.125in;margin-left: 216pt;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO14 li ul li ul li ul li ul li ul li:before {counter-increment: ulLFO14_6;content: counter(ulLFO14_6, lower-roman)  \". \";margin-left: -0.125in;display: table-cell;}\n div#h5p_6a54871f8ac12 ul.LFO14 ul ul ul ul ul ul ul {counter-reset: ulLFO14_8;margin-left: -3.25in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO14 li ul li ul li ul li ul li ul li ul li {text-indent: -0.25in;margin-left: 252pt;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO14 li ul li ul li ul li ul li ul li ul li:before {counter-increment: ulLFO14_7;content: counter(ulLFO14_7, decimal)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a54871f8ac12 ul.LFO14 ul ul ul ul ul ul ul ul {counter-reset: ulLFO14_9;margin-left: -3.75in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO14 li ul li ul li ul li ul li ul li ul li ul li {text-indent: -0.25in;margin-left: 288pt;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO14 li ul li ul li ul li ul li ul li ul li ul li:before {counter-increment: ulLFO14_8;content: counter(ulLFO14_8, lower-latin)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a54871f8ac12 ul.LFO14 ul ul ul ul ul ul ul ul ul {counter-reset: ulLFO14_10;margin-left: -4.375in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a54871f8ac12 ul.LFO14 li ul li ul li ul li ul li ul li ul li ul li ul li {text-indent: -0.125in;margin-left: 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src=\"https:\/\/cdn.mathjax.org\/mathjax\/2.6-latest\/MathJax.js?config=MML_CHTML\" type=\"text\/javascript\"> <\/script>\n<div id=\"h5p_6a54871f8ac12\"><section xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"section_0\" class=\"h5p_layout h5p_page h5p_page_PL0\"><div class=\"PL0\"><p class=\"P1\"><span id=\"_GoBack\"\/><\/p><div style=\"left: 0;height: 750.80016pt;width: 578.90016pt;\" class=\"a14\"><div style=\"left: 0;height: 750.80016pt;position: absolute;width: 578.90016pt;\" class=\"\"><div style=\"position: absolute; float: none !important;height: 10.42778in;width: 8.04028in;margin-left: 0.0125in;margin-top: 0in;\" class=\"a1\"><svg style=\"position: absolute; top: 0; left: 0;padding: 0 !important; border: none !important\" preserveAspectRatio=\"none\" fill-rule=\"evenodd\" class=\"a1\" height=\"10.42778in\" width=\"8.04028in\" viewBox=\"0 0 772 1001\"><g><path d=\"M 0 0 L 772 0 772 1001 0 1001 Z\"\/><\/g><\/svg><\/div><div style=\"position: absolute; float: none !important;height: 10.42778in;width: 5.88339in;margin-left: 2.16939in;margin-top: 0in;\" class=\"a2\"><svg style=\"position: absolute; top: 0; left: 0;padding: 0 !important; border: none !important\" preserveAspectRatio=\"none\" fill-rule=\"evenodd\" class=\"a2\" height=\"10.42778in\" width=\"5.88339in\" viewBox=\"0 0 565 1001\"><g><path d=\"M 0 0 L 565 0 565 1001 0 1001 Z\"\/><\/g><\/svg><p class=\"Ingenafstand\"><span class=\"T6\">Rentes- og annuitetsregning<\/span><\/p><p class=\"Ingenafstand\"><span class=\"T7\">&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&#x200b;&#x200b;&nbsp;<\/span><\/p><p class=\"P8\">&nbsp;<\/p><p class=\"P9\">&nbsp;<\/p><p class=\"P10\">&nbsp;<\/p><\/div><div style=\"left: 0;height: 453.978pt;position: absolute;width: 78.12288pt;\" class=\"\"><div style=\"position: absolute; float: none !important;height: 1.05284in;width: 1.08504in;margin-left: 1.08504in;margin-top: 4.19957in;\" class=\"a3\"><svg style=\"position: absolute; top: 0; left: 0;padding: 0 !important; border: none !important\" preserveAspectRatio=\"none\" fill-rule=\"evenodd\" class=\"a3\" height=\"1.05284in\" width=\"1.08504in\" viewBox=\"0 0 104 101\"><g><path d=\"M 0 0 L 104 0 104 101 0 101 Z\"\/><\/g><\/svg><\/div><div style=\"position: absolute; float: none !important;height: 1.05284in;width: 1.08504in;margin-left: 1.08504in;margin-top: 3.14672in;\" class=\"a4\"><svg style=\"position: absolute; top: 0; left: 0;padding: 0 !important; border: none !important\" preserveAspectRatio=\"none\" fill-rule=\"evenodd\" class=\"a4\" height=\"1.05284in\" width=\"1.08504in\" viewBox=\"0 0 104 101\"><g><path d=\"M 0 0 L 104 0 104 101 0 101 Z\"\/><\/g><\/svg><\/div><div style=\"position: absolute; float: none !important;height: 1.05284in;width: 1.08504in;margin-left: 0in;margin-top: 3.14672in;\" class=\"a5\"><svg style=\"position: absolute; top: 0; left: 0;padding: 0 !important; border: none !important\" preserveAspectRatio=\"none\" fill-rule=\"evenodd\" class=\"a5\" height=\"1.05284in\" width=\"1.08504in\" viewBox=\"0 0 104 101\"><g><path d=\"M 0 0 L 104 0 104 101 0 101 Z\"\/><\/g><\/svg><\/div><div style=\"position: absolute; float: none !important;height: 1.05284in;width: 1.08504in;margin-left: 0in;margin-top: 2.09388in;\" class=\"a6\"><svg style=\"position: absolute; top: 0; left: 0;padding: 0 !important; border: none !important\" preserveAspectRatio=\"none\" fill-rule=\"evenodd\" class=\"a6\" height=\"1.05284in\" width=\"1.08504in\" viewBox=\"0 0 104 101\"><g><path d=\"M 0 0 L 104 0 104 101 0 101 Z\"\/><\/g><\/svg><\/div><div style=\"position: absolute; float: none !important;height: 1.05284in;width: 1.08504in;margin-left: 0in;margin-top: 4.19957in;\" class=\"a7\"><svg style=\"position: absolute; top: 0; left: 0;padding: 0 !important; border: none !important\" preserveAspectRatio=\"none\" fill-rule=\"evenodd\" class=\"a7\" height=\"1.05284in\" width=\"1.08504in\" viewBox=\"0 0 104 101\"><g><path d=\"M 0 0 L 104 0 104 101 0 101 Z\"\/><\/g><\/svg><\/div><div style=\"position: absolute; float: none !important;height: 1.05284in;width: 1.08504in;margin-left: 1.08504in;margin-top: 5.25241in;\" class=\"a8\"><svg style=\"position: absolute; top: 0; left: 0;padding: 0 !important; border: none !important\" preserveAspectRatio=\"none\" fill-rule=\"evenodd\" class=\"a8\" height=\"1.05284in\" width=\"1.08504in\" viewBox=\"0 0 104 101\"><g><path d=\"M 0 0 L 104 0 104 101 0 101 Z\"\/><\/g><\/svg><\/div><\/div><div style=\"position: absolute; float: none !important;height: 1.05354in;width: 1.08504in;margin-left: 1.64457in;margin-top: 0in;\" class=\"a9\"><svg style=\"position: absolute; top: 0; left: 0;padding: 0 !important; border: none !important\" preserveAspectRatio=\"none\" fill-rule=\"evenodd\" class=\"a9\" height=\"1.05354in\" width=\"1.08504in\" viewBox=\"0 0 104 101\"><g><path d=\"M 0 0 L 104 0 104 101 0 101 Z\"\/><\/g><\/svg><p class=\"P11\"><span class=\"T12\">&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&#x200b;&#x200b;&nbsp;<\/span><\/p><\/div><\/div><div style=\"left: 0;height: 736.11216pt;position: absolute;width: 354.88296pt;\" class=\"\"><div style=\"left: 0;height: 736.11144pt;position: absolute;width: 19.53pt;\" class=\"\"><div style=\"position: absolute; float: none !important;height: 0.26561in;width: 0.27125in;margin-left: 7.29592in;margin-top: 9.95816in;\" class=\"a10\"><svg style=\"position: absolute; top: 0; left: 0;padding: 0 !important; border: none !important\" preserveAspectRatio=\"none\" fill-rule=\"evenodd\" class=\"a10\" height=\"0.26561in\" width=\"0.27125in\" viewBox=\"0 0 26 25\"><g><path d=\"M 0 0 L 26 0 26 25 0 25 Z\"\/><\/g><\/svg><\/div><div style=\"position: absolute; float: none !important;height: 0.26561in;width: 0.27125in;margin-left: 7.29592in;margin-top: 9.69642in;\" class=\"a11\"><svg style=\"position: absolute; top: 0; left: 0;padding: 0 !important; border: none !important\" preserveAspectRatio=\"none\" fill-rule=\"evenodd\" class=\"a11\" height=\"0.26561in\" width=\"0.27125in\" viewBox=\"0 0 26 25\"><g><path d=\"M 0 0 L 26 0 26 25 0 25 Z\"\/><\/g><\/svg><\/div><div style=\"position: absolute; float: none !important;height: 0.26561in;width: 0.27125in;margin-left: 7.56717in;margin-top: 9.69642in;\" class=\"a12\"><svg style=\"position: absolute; top: 0; left: 0;padding: 0 !important; border: none !important\" preserveAspectRatio=\"none\" fill-rule=\"evenodd\" class=\"a12\" height=\"0.26561in\" width=\"0.27125in\" viewBox=\"0 0 26 25\"><g><path d=\"M 0 0 L 26 0 26 25 0 25 Z\"\/><\/g><\/svg><\/div><\/div><div style=\"position: absolute; float: none !important;height: 0.95896in;width: 4.92893in;margin-left: 2.17136in;margin-top: 9.26482in;\" class=\"a13\"><svg style=\"position: absolute; top: 0; left: 0;padding: 0 !important; border: none !important\" preserveAspectRatio=\"none\" fill-rule=\"evenodd\" class=\"a13\" height=\"0.95896in\" width=\"4.92893in\" viewBox=\"0 0 473 92\"><g><path d=\"M 0 0 L 473 0 473 92 0 92 Z\"\/><\/g><\/svg><p class=\"P13\"><span class=\"T14\">Frederik Hovmark Pedersen<\/span><\/p><p class=\"P15\"><span class=\"T16\">&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&#x200b;&#x200b;&nbsp;<\/span><\/p><\/div><\/div><\/div><p class=\"Normal\"\/><div style=\"position: relative; float: none !important;height: 0.28403in;width: 0.26042in;margin-left: 6.51114in;margin-top: 8.70909in;\" class=\"a15\"><svg style=\"position: absolute; top: 0; left: 0;padding: 0 !important; border: none !important\" preserveAspectRatio=\"none\" fill-rule=\"evenodd\" class=\"a15\" height=\"0.28403in\" width=\"0.26042in\" viewBox=\"0 0 25 27\"><g><path d=\"M 0 0 L 25 0 25 27 0 27 Z\"\/><\/g><\/svg><\/div><p class=\"Normal\"\/><p class=\"P18\">&nbsp;<\/p><p class=\"Overskrift\"><span class=\"T19\">Indholdsfortegnelse<\/span><\/p><div><p class=\"P20\"><a href=\"#_Toc386647963\" target=\"_top\" title=\"\"><span class=\"Hyperlink\">Indledning<\/span>&emsp;<span>2<\/span><\/a><\/p><p class=\"P21\"><a href=\"#_Toc386647964\" target=\"_top\" title=\"\"><span class=\"Hyperlink\">Teori<\/span>&emsp;<span>2<\/span><\/a><\/p><p class=\"Indholdsfortegnelse2\"><a href=\"#_Toc386647965\" target=\"_top\" title=\"\"><span class=\"Hyperlink\">Fremskrivningsformlen<\/span>&emsp;<span>2<\/span><\/a><\/p><p class=\"Indholdsfortegnelse2\"><a href=\"#_Toc386647966\" target=\"_top\" title=\"\"><span class=\"Hyperlink\">Terminsrente<\/span>&emsp;<span>3<\/span><\/a><\/p><p class=\"Indholdsfortegnelse2\"><a href=\"#_Toc386647967\" target=\"_top\" title=\"\"><span class=\"Hyperlink\">\u00c5OP<\/span>&emsp;<span>3<\/span><\/a><\/p><p class=\"Indholdsfortegnelse2\"><a href=\"#_Toc386647968\" target=\"_top\" title=\"\"><span class=\"Hyperlink\">Tilbageskrivningsformel:<\/span>&emsp;<span>3<\/span><\/a><\/p><p class=\"Indholdsfortegnelse2\"><a href=\"#_Toc386647969\" target=\"_top\" title=\"\"><span class=\"Hyperlink\">Formel for terminsrenten<\/span>&emsp;<span>4<\/span><\/a><\/p><p class=\"Indholdsfortegnelse2\"><a href=\"#_Toc386647970\" target=\"_top\" title=\"\"><span class=\"Hyperlink\">Formel for gennemsnitlig rente<\/span>&emsp;<span>5<\/span><\/a><\/p><p class=\"Indholdsfortegnelse2\"><a href=\"#_Toc386647971\" target=\"_top\" title=\"\"><span class=\"Hyperlink\">Formel for antal terminer<\/span>&emsp;<span>6<\/span><\/a><\/p><p class=\"Indholdsfortegnelse2\"><a href=\"#_Toc386647972\" target=\"_top\" title=\"\"><span class=\"Hyperlink\">Effektiv rente<\/span>&emsp;<span>7<\/span><\/a><\/p><p class=\"Indholdsfortegnelse2\"><a href=\"#_Toc386647973\" target=\"_top\" title=\"\"><span class=\"Hyperlink\">Annuitetsregning<\/span>&emsp;<span>7<\/span><\/a><\/p><p class=\"Indholdsfortegnelse2\"><a href=\"#_Toc386647974\" target=\"_top\" title=\"\"><span class=\"Hyperlink\">Opsparingsformel<\/span>&emsp;<span>7<\/span><\/a><\/p><p class=\"Indholdsfortegnelse2\"><a href=\"#_Toc386647975\" target=\"_top\" title=\"\"><span class=\"Hyperlink\">At finde r i opsparingsformlen<\/span>&emsp;<span>8<\/span><\/a><\/p><p class=\"Indholdsfortegnelse2\"><a href=\"#_Toc386647976\" target=\"_top\" title=\"\"><span class=\"Hyperlink\">At finde y i opsparingsformlen<\/span>&emsp;<span>9<\/span><\/a><\/p><p class=\"Indholdsfortegnelse2\"><a href=\"#_Toc386647977\" target=\"_top\" title=\"\"><span class=\"Hyperlink\">At finde n i opsparingsformlen<\/span>&emsp;<span>9<\/span><\/a><\/p><p class=\"Indholdsfortegnelse2\"><a href=\"#_Toc386647978\" target=\"_top\" title=\"\"><span class=\"Hyperlink\">G\u00e6ldsformel<\/span>&emsp;<span>10<\/span><\/a><\/p><p class=\"Indholdsfortegnelse2\"><a href=\"#_Toc386647979\" target=\"_top\" title=\"\"><span class=\"Hyperlink\">Bestemmelse af n i g\u00e6ldsformlen:<\/span>&emsp;<span>11<\/span><\/a><\/p><p class=\"Indholdsfortegnelse2\"><a href=\"#_Toc386647980\" target=\"_top\" title=\"\"><span class=\"Hyperlink\">Bestemmelse af y i g\u00e6ldsformlen<\/span>&emsp;<span>12<\/span><\/a><\/p><p class=\"Indholdsfortegnelse2\"><a href=\"#_Toc386647981\" target=\"_top\" title=\"\"><span class=\"Hyperlink\">Beregning af restg\u00e6ld<\/span>&emsp;<span>12<\/span><\/a><\/p><p class=\"Indholdsfortegnelse2\"><a href=\"#_Toc386647982\" target=\"_top\" title=\"\"><span class=\"Hyperlink\">L\u00e5netyper<\/span>&emsp;<span>13<\/span><\/a><\/p><p class=\"P22\"><a href=\"#_Toc386647983\" target=\"_top\" title=\"\"><span class=\"T23\">1. Annuitetsl\u00e5n<\/span>&emsp;<span>13<\/span><\/a><\/p><p class=\"P24\"><a href=\"#_Toc386647984\" target=\"_top\" title=\"\"><span class=\"T25\">2. Seriel\u00e5n<\/span>&emsp;<span>13<\/span><\/a><\/p><p class=\"P26\"><a href=\"#_Toc386647985\" target=\"_top\" title=\"\"><span class=\"T27\">3. St\u00e5ende l\u00e5n<\/span>&emsp;<span>13<\/span><\/a><\/p><p class=\"Indholdsfortegnelse2\"><a href=\"#_Toc386647986\" target=\"_top\" title=\"\"><span class=\"Hyperlink\">Amortisationsplan<\/span>&emsp;<span>14<\/span><\/a><\/p><p class=\"P28\"><a href=\"#_Toc386647987\" target=\"_top\" title=\"\"><span class=\"Hyperlink\">Opgaver<\/span>&emsp;<span>15<\/span><\/a><\/p><\/div><p class=\"Normal\">&nbsp;<\/p><p class=\"Normal\">&nbsp;<\/p><p class=\"Normal\">&nbsp;<\/p><p class=\"Normal\">&nbsp;<\/p><p class=\"Normal\">&nbsp;<\/p><h1 class=\"P29\"><span id=\"_Toc386647963\"\/><span>Indledning<\/span><\/h1><p class=\"P30\"><span>Vi bliver gennem vores hverdag m\u00f8dt af en lang r\u00e6kke<\/span>&#x200b;&#x200b;&nbsp;<span>tilbud fra<\/span>&#x200b;&#x200b;&nbsp;<span>forskellige udbydere af l\u00e5n,<\/span>&#x200b;&#x200b;&nbsp;<span>der alle forsikrer os om,<\/span>&#x200b;&#x200b;&nbsp;<span>at netop deres l\u00e5n er det billigste. Det kan v\u00e6re alt fra kvikl\u00e5n til l\u00e5n i banken. Og st\u00e5r du og skal l\u00e5ne penge til en ny bil, en ferie, et hus eller andet, kan det v\u00e6re sv\u00e6rt at gennemskue hvilken l\u00e5ngiver du skal v\u00e6lge. Det er derfor vigtigt,<\/span>&#x200b;&#x200b;&nbsp;<span>at kunne beregne hvilket l\u00e5n der er det billigste. Ligesom det ogs\u00e5 er vigtigt,<\/span>&#x200b;&#x200b;&nbsp;<span>at kunne gennemskue hvor du f\u00e5r den h\u00f8jeste rente, n\u00e5r du s\u00e6tter penge ind p\u00e5 en opsparing.<\/span>&#x200b;&#x200b;&nbsp;<span>Og det er til alt dette, at rentes- og annuitetsregning kan benyttes, og<\/span>&#x200b;&#x200b;&nbsp;<span>det<\/span>&#x200b;&#x200b;&nbsp;<span>er derfor<\/span>&#x200b;&#x200b;&nbsp;<span>vigtigt, at v\u00e6re i stand til dette.<\/span>&#x200b;&#x200b;&nbsp;<span>Gennem min emneopgave vil jeg gennemg\u00e5 en masse teori vedr\u00f8rende rentes- og annuitetsregning. Her vil jeg indimellem komme med nogle eksempler p\u00e5 brugen af teorien. Og til sidst vil jeg l\u00f8se en r\u00e6kke opgaver, ved hj\u00e6lp af teorien.<\/span><\/p><h1 class=\"P31\"><span id=\"_Toc386647964\"\/><span>Teori<\/span><\/h1><p class=\"P32\"><span>I min teoridel vil jeg f\u00f8rst koncentrere mig om rentesregning, her vil se p\u00e5 fremskrivningsformlen, tilbageskrivningsformlen, formlen for terminsrente, for gennemsnitlig rente, for antal terminer og jeg vil se p\u00e5 \u00c5OP og p\u00e5 den effektive rente. Efterf\u00f8lgende vil jeg se p\u00e5 annuitetsregning. Her vil jeg komme ind p\u00e5 opsparingsformlen og p\u00e5 hvordan man finder r, y og n i denne. Jeg vil se p\u00e5 g\u00e6ldsformlen, og p\u00e5 hvordan man bestemmer n og y i denne. Til sidst vil jeg se p\u00e5 beregning af restg\u00e6ld, p\u00e5 forskellige l\u00e5netyper, og p\u00e5 amortisationsplaner.<\/span><\/p><h2 class=\"P33\"><span id=\"_Toc386647965\"\/><span>Fremskrivningsformlen<\/span>&#x200b;&#x200b;&nbsp;<\/h2><p class=\"P34\"><span>Skal du s\u00e6tte penge i banken, evt. p\u00e5 en opsparingskonto hvor du har pengene til at st\u00e5 i mange \u00e5r, s\u00e5 vil man i mange tilf\u00e6lde f\u00e5 brug for, at kunne beregne hvor meget der vil st\u00e5 p\u00e5 kontoen, efter et hvis antal \u00e5r.<\/span>&#x200b;&#x200b;&nbsp;<span>Ligeledes er det ogs\u00e5 n\u00f8dvendigt, hvis du skal optage et 10-\u00e5rigt l\u00e5n, at v\u00e6re i stand til at beregne, hvor meget dette l\u00e5n samlet vil blive p\u00e5, n\u00e5r renter og renters renter osv. er medregnet.<\/span>&#x200b;&#x200b;&nbsp;<span>Til dette<\/span>&#x200b;&#x200b;&nbsp;<span>benyttes fremskrivningsformlen:<\/span>&#x200b;&#x200b;&nbsp;<\/p><p class=\"P35\"><span class=\"T36\">K<\/span><span class=\"T37\">n<\/span><span class=\"T38\">&#x200b;&#x200b;&nbsp;= K<\/span><span class=\"T39\">0<\/span><span class=\"T40\">&#x200b;&#x200b;&nbsp;* (1+r)<\/span><span class=\"T41\">n<\/span><\/p><p class=\"P42\">&nbsp;<\/p><p class=\"P43\"><span class=\"T44\">I denne formel er K<\/span><span class=\"T45\">n<\/span><span class=\"T46\">&#x200b;&#x200b;&nbsp;slutkapital<\/span><span class=\"T47\">en(dvs. det bel\u00f8b der st\u00e5r p\u00e5 kontoen efter et hvis antal \u00e5r, med en bestemt rente).&#x200b;&#x200b;&nbsp;<\/span><span class=\"T48\">K<\/span><span class=\"T49\">0<\/span><span class=\"T50\">&#x200b;&#x200b;&nbsp;<\/span><span class=\"T51\">er s\u00e5<\/span><span class=\"T52\">&#x200b;&#x200b;&nbsp;startkapital<\/span><span class=\"T53\">en.<\/span><span class=\"T54\">&#x200b;&#x200b;&nbsp;<\/span><span class=\"T55\">M<\/span><span class=\"T56\">ens r er terminsrente(den faste rente som bliver tilskrevet i hvert termin, skrevet som decimaltal). Og endeligt s\u00e5 er N lig antal terminer(et termin kunn<\/span><span class=\"T57\">e v\u00e6re et \u00e5r, men ogs\u00e5 en m\u00e5ned eller et kvartal,<\/span><span class=\"T58\">&#x200b;&#x200b;&nbsp;alt efter hvor tit der tilskrives renter).<\/span><\/p><p class=\"P59\"><span class=\"T60\">Et eksempel p\u00e5 bru<\/span><span class=\"T61\">gen af fremskrivningsformlen ville v\u00e6re, at vi har 10.000 kr. som s\u00e5 er K<\/span><span class=\"T62\">0<\/span><span class=\"T63\">.<\/span><span class=\"T64\">&#x200b;&#x200b;&nbsp;<\/span><span class=\"T65\">D<\/span><span class=\"T66\">isse s\u00e6ttes ind p\u00e5 en konto med halv\u00e5rlig rentetilskrivning, og en rente(r) p\u00e5&#x200b;&#x200b;&nbsp;<\/span><span class=\"T67\">6<\/span><span class=\"T68\">% p.a. Pengene lader man s\u00e5 st\u00e5 i 5 \u00e5r, hvilket vil sige at N er 10, da der er halv\u00e5rlig rentetilskrivning. Bel\u00f8bet der s\u00e5 st\u00e5r p\u00e5 kontoen efter de 5 \u00e5r, er jo naturligvis K<\/span><span class=\"T69\">n<\/span><span class=\"T70\">.<\/span><\/p><p class=\"P71\"><span class=\"T72\">K<\/span><span class=\"T73\">10<\/span><span class=\"T74\">&#x200b;&#x200b;&nbsp;= 10.000 *(1+0,03)<\/span><span class=\"T75\">10<\/span><span class=\"T76\">&#x200b;&#x200b;&nbsp;= 13.439,16 kr.&#x200b;&#x200b;&nbsp;<\/span><\/p><h2 class=\"P77\"><span id=\"_Toc386647966\"\/><span>Terminsrente<\/span><\/h2><p class=\"P78\"><span>Tilskrives der i stedet for en gang om \u00e5ret, renter hvert halve \u00e5r, hver kvartal eller hver m\u00e5ned, er det n\u00f8dvendigt at kunne omregne renten p.a.(p.a. st\u00e5r for pro anno, hvilket er latinsk for pr. \u00e5r, alts\u00e5 renten pr. \u00e5r), til renten pr. termin, alts\u00e5 terminsrenten. Dette g\u00f8res meget simpelt, s\u00e5ledes:<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"P79\"><span class=\"T80\">Terminsrente =&#x200b;&#x200b;&nbsp;<\/span><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mfrac><mml:mrow><mml:mi mathvariant=\"bold-italic\">R<\/mml:mi><mml:mi mathvariant=\"bold-italic\">e<\/mml:mi><mml:mi mathvariant=\"bold-italic\">n<\/mml:mi><mml:mi mathvariant=\"bold-italic\">t<\/mml:mi><mml:mi mathvariant=\"bold-italic\">e<\/mml:mi><mml:mi mathvariant=\"normal\">\u00a0<\/mml:mi><mml:mi mathvariant=\"bold-italic\">p<\/mml:mi><mml:mo>.<\/mml:mo><mml:mi mathvariant=\"normal\">\u00a0<\/mml:mi><mml:mi mathvariant=\"bold-italic\">a<\/mml:mi><mml:mo>.<\/mml:mo><\/mml:mrow><mml:mrow><mml:mi mathvariant=\"bold-italic\">A<\/mml:mi><mml:mi mathvariant=\"bold-italic\">n<\/mml:mi><mml:mi mathvariant=\"bold-italic\">t<\/mml:mi><mml:mi mathvariant=\"bold-italic\">a<\/mml:mi><mml:mi mathvariant=\"bold-italic\">l<\/mml:mi><mml:mi mathvariant=\"normal\">\u00a0<\/mml:mi><mml:mi mathvariant=\"bold-italic\">t<\/mml:mi><mml:mi mathvariant=\"bold-italic\">e<\/mml:mi><mml:mi mathvariant=\"bold-italic\">r<\/mml:mi><mml:mi mathvariant=\"bold-italic\">m<\/mml:mi><mml:mi mathvariant=\"bold-italic\">i<\/mml:mi><mml:mi mathvariant=\"bold-italic\">n<\/mml:mi><mml:mi mathvariant=\"bold-italic\">e<\/mml:mi><mml:mi mathvariant=\"bold-italic\">r<\/mml:mi><mml:mi mathvariant=\"normal\">\u00a0<\/mml:mi><mml:mi mathvariant=\"bold-italic\">p<\/mml:mi><mml:mi mathvariant=\"bold-italic\">r<\/mml:mi><mml:mo>.<\/mml:mo><mml:mi mathvariant=\"normal\">\u00a0<\/mml:mi><mml:mi mathvariant=\"normal\">\u00e5<\/mml:mi><mml:mi mathvariant=\"bold-italic\">r<\/mml:mi><\/mml:mrow><\/mml:mfrac><\/mml:math><\/span><\/span><\/p><p class=\"P81\"><span class=\"T82\">Et eksempel p\u00e5 at finde termi<\/span><span class=\"T83\">nsrenten er, a<\/span><span class=\"T84\">t vi har en udl\u00e5nsrente p\u00e5 12% p.a<\/span><span class=\"T85\">. Ved halv\u00e5<\/span><span class=\"T86\">rlig rentetilskrivning<\/span><span class=\"T87\">&#x200b;&#x200b;&nbsp;bliver terminsrenten s\u00e5<\/span><span class=\"T88\">: 12%\/2 = 6%<\/span><span class=\"T89\">. Mens terminsrenten ved&#x200b;&#x200b;&nbsp;<\/span><span class=\"T90\">rentetilskrivning hvert kvartal bliver: 12%\/4 = 3%. Og ved&#x200b;&#x200b;&nbsp;<\/span><span class=\"T91\">m\u00e5nedlig rente<\/span><span class=\"T92\">tilskrivning<\/span><span class=\"T93\">&#x200b;&#x200b;&nbsp;bliver terminsrenten s\u00e5:<\/span><span class=\"T94\">&#x200b;&#x200b;&nbsp;<\/span><span class=\"T95\">12%\/12 = 1%<\/span><span class=\"T96\">.<\/span><\/p><h2 class=\"P97\">&nbsp;<\/h2><h2 class=\"P98\"><span id=\"_Toc386647967\"\/><span>\u00c5OP<\/span><\/h2><p class=\"P99\"><span>Skal du sammenligne l\u00e5n, g\u00f8res dette ved hj\u00e6lp af<\/span>&#x200b;&#x200b;&nbsp;<span>\u00c5OP. \u00c5OP<\/span>&#x200b;&#x200b;&nbsp;<span>st\u00e5r for \u00e5rlige omkostninger i procent, og<\/span>&#x200b;&#x200b;&nbsp;<span>er dermed alle de \u00e5rlige omkostninger ved et l\u00e5n, i procent.<\/span>&#x200b;&#x200b;&nbsp;<span>Der er lovkrav om, at l\u00e5ngivere skal oplyse \u00c5OP ved deres l\u00e5n. <\/span>&nbsp;&#x200b;&#x200b;&#x200b;&#x200b;&nbsp;<\/p><p class=\"P100\"><span>\u00a0\u00a0<\/span><\/p><h2 class=\"P101\"><span id=\"_Toc386647968\"\/><span>Tilbageskrivningsformel:<\/span><\/h2><p class=\"P102\"><span class=\"T103\">St\u00e5r man i den situation, at man kender K<\/span><span class=\"T104\">n<\/span><span class=\"T105\">, r og N, og&#x200b;&#x200b;&nbsp;<\/span><span class=\"T106\">\u00f8nsker at&#x200b;&#x200b;&nbsp;<\/span><span class=\"T107\">beregne startkapitalen(K<\/span><span class=\"T108\">0<\/span><span class=\"T109\">), kan dette g\u00f8res ved at benytte tilbageskrivningsformlen, som lyder s\u00e5ledes:<\/span><\/p><p class=\"P110\"><span class=\"T111\">K<\/span><span class=\"T112\">0<\/span><span class=\"T113\">&#x200b;&#x200b;&nbsp;= K<\/span><span class=\"T114\">n<\/span><span class=\"T115\">&#x200b;&#x200b;&nbsp;* (1+r)<\/span><span class=\"T116\">-n<\/span><\/p><p class=\"P117\"><span>Denne formel er fundet med udgangspunkt i opsparingsformlen:\u00a0<\/span><\/p><p class=\"P118\"><span class=\"T119\">K<\/span><span class=\"T120\">n<\/span><span class=\"T121\">&#x200b;&#x200b;&nbsp;= K<\/span><span class=\"T122\">0<\/span><span class=\"T123\">&#x200b;&#x200b;&nbsp;* (1+r)<\/span><span class=\"T124\">n<\/span><\/p><p class=\"P125\"><span class=\"T126\">Herefter divideres der med (1-r)<\/span><span class=\"T127\">N<\/span><span class=\"T128\">&#x200b;&#x200b;&nbsp;p\u00e5 begge sider<\/span><span class=\"T129\">&#x200b;&#x200b;&nbsp;af lighedstegnet<\/span><span class=\"T130\">:<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"P131\"><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mfrac><mml:mrow><mml:msub><mml:mrow><mml:mi>K<\/mml:mi><\/mml:mrow><mml:mrow><mml:mi>n<\/mml:mi><\/mml:mrow><\/mml:msub><\/mml:mrow><mml:mrow><mml:msup><mml:mrow><mml:mfenced separators=\"|\"><mml:mrow><mml:mn>1<\/mml:mn><mml:mo>+<\/mml:mo><mml:mi>r<\/mml:mi><\/mml:mrow><\/mml:mfenced><\/mml:mrow><mml:mrow><mml:mi>n<\/mml:mi><\/mml:mrow><\/mml:msup><\/mml:mrow><\/mml:mfrac><\/mml:math><\/span><\/span><span class=\"T132\">&#x200b;&#x200b;&nbsp;= K<\/span><span class=\"T133\">0 &nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&#x200b;&#x200b;&nbsp;<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"P134\"><span class=\"T135\">Potensreglen<\/span><span class=\"T136\">&nbsp;&#x200b;&#x200b;&#x200b;&#x200b;&nbsp;<\/span><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mfrac><mml:mrow><mml:mn>1<\/mml:mn><\/mml:mrow><mml:mrow><mml:msup><mml:mrow><mml:mi mathvariant=\"normal\">x<\/mml:mi><\/mml:mrow><mml:mrow><mml:mi>n<\/mml:mi><\/mml:mrow><\/mml:msup><mml:mi mathvariant=\"normal\">\u00a0<\/mml:mi><mml:mi mathvariant=\"normal\">\u00a0<\/mml:mi><\/mml:mrow><\/mml:mfrac><mml:mo>=<\/mml:mo><mml:msup><mml:mrow><mml:mi mathvariant=\"normal\">x<\/mml:mi><\/mml:mrow><mml:mrow><mml:mo>-<\/mml:mo><mml:mi mathvariant=\"normal\">n<\/mml:mi><\/mml:mrow><\/mml:msup><\/mml:math><\/span><\/span><span class=\"T137\">&#x200b;&#x200b;&nbsp;benyttes:<\/span><\/p><p class=\"P138\"><span class=\"T139\">K<\/span><span class=\"T140\">n<\/span><span class=\"T141\">&#x200b;&#x200b;&nbsp;* (1+r)<\/span><span class=\"T142\">-n<\/span><span class=\"T143\">&#x200b;&#x200b;&nbsp;= K<\/span><span class=\"T144\">0<\/span><\/p><p class=\"P145\"><span>Og vi har nu formlen:<\/span><\/p><p class=\"P146\"><span class=\"T147\">K<\/span><span class=\"T148\">0<\/span><span class=\"T149\">&#x200b;&#x200b;&nbsp;= K<\/span><span class=\"T150\">n<\/span><span class=\"T151\">&#x200b;&#x200b;&nbsp;* (1+r)<\/span><span class=\"T152\">-n<\/span><\/p><p class=\"P153\"><span class=\"T154\">Et e<\/span><span class=\"T155\">ksempel<\/span><span class=\"T156\">&#x200b;&#x200b;&nbsp;p\u00e5 at benytte tilbageskrivningsformlen kunne v\u00e6re, at man har en slutkapital der hedder 100.000<\/span><span class=\"T157\">&#x200b;&#x200b;&nbsp;kr.<\/span><span class=\"T158\">, en terminsrente der er&#x200b;&#x200b;&nbsp;<\/span><span class=\"T159\">0,03(3% p.a.), og antal terminer som er 10.<\/span><span class=\"T160\">&#x200b;&#x200b;&nbsp;<\/span><span class=\"T161\">Startkapital<\/span><span class=\"T162\">&#x200b;&#x200b;&nbsp;bliver s\u00e5<\/span><span class=\"T163\">:<\/span><\/p><p class=\"P164\"><span class=\"T165\">K<\/span><span class=\"T166\">0<\/span><span class=\"T167\">&#x200b;&#x200b;&nbsp;= 100.000 * (1+0,03)<\/span><span class=\"T168\">-10<\/span><span class=\"T169\">&#x200b;&#x200b;&nbsp;= 74.409,39 kr.&#x200b;&#x200b;&nbsp;<\/span><\/p><p class=\"P170\"><span>Et andet eksempel kunne v\u00e6re, at man skal k\u00f8be en computer, og hos forhandleren f\u00e5r muligheden for at v\u00e6lge mellem tre tilbud.<\/span>&#x200b;&#x200b;&nbsp;<\/p><ul class=\"LFO18\" style=\"counter-reset: ulLFO18_1 0;\"><li style=\"color: initial; font-family: initial;hyphenate: false;hyphenate: false;font-family: Calibri;font-size: 12pt;mleft: 0.5in !important;text-align: justify !important;\"><p style=\"display: table-cell;margin-left:0 !important;text-indent: 0 !important;\" class=\"P171\"><span>Tilbud 1:<\/span>&#x200b;&#x200b;&nbsp;<span>Der betales 12.000 kontant<\/span><\/p><\/li><li style=\"color: initial; font-family: initial;hyphenate: false;hyphenate: false;font-family: Calibri;font-size: 12pt;mleft: 0.5in !important;text-align: justify !important;\"><p style=\"display: table-cell;margin-left:0 !important;text-indent: 0 !important;\" class=\"P172\"><span>Tilbud 2:<\/span>&#x200b;&#x200b;&nbsp;<span>Der betales 3.000 kontant, 4.000 om et \u00e5r, og yderligere 6.000 efter 2 \u00e5r, med en rente p\u00e5 8% p.a.<\/span><\/p><\/li><li style=\"color: initial; font-family: initial;hyphenate: false;hyphenate: false;font-family: Calibri;font-size: 12pt;mleft: 0.5in !important;text-align: justify !important;\"><p style=\"display: table-cell;margin-left:0 !important;text-indent: 0 !important;\" class=\"P173\"><span>Tilbud 3:<\/span>&#x200b;&#x200b;&nbsp;<span>Der betales 7.000 efter 1 \u00e5r og 7.000 efter 2 \u00e5r, med en rente p\u00e5 8% p.a.<\/span><\/p><\/li><\/ul><p class=\"P174\"><span class=\"T175\">\u00a0<\/span><span class=\"T176\">Betalingerne illustreret&#x200b;&#x200b;&nbsp;<\/span><span class=\"T177\">p\u00e5 en tidsakse(en for hver betalingsmetode)<\/span><\/p><p class=\"P178\"><span class=\"T179\"><span><img src=\"data:image\/png;base64,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\" style=\"z-index: 100;width: 3.39703in;height: 2.72324in;width: 3.39703in;display: inline;\" title=\"\" alt=\"Computergenereret alternativ tekst: 112.000&#10;o&#10;14.000 16.000&#10;o i 2&#10;t:.000 17.000\"\/><\/span><\/span><\/p><p class=\"P180\"><span class=\"T181\">Her er man naturligvis interesseret i, at finde ud hvilket tilbud der er billigst.&#x200b;&#x200b;&nbsp;<\/span><span class=\"T182\">Her er det vigtigt at bel\u00f8bene altid skal&#x200b;&#x200b;&nbsp;<\/span><span class=\"T183\">sammenlignes&#x200b;&#x200b;&nbsp;<\/span><span class=\"T184\">p\u00e5 samme tidspunkt<\/span><\/p><p class=\"P185\"><span>Kapitalv\u00e6rdi p\u00e5 tidspunktet 0:<\/span><\/p><ul class=\"LFO17\" style=\"counter-reset: ulLFO17_1 0;\"><li style=\"color: initial; font-family: initial;hyphenate: false;hyphenate: false;hyphenate: false;hyphenate: false;mleft: 0.5in !important;text-align: justify !important;\"><p style=\"display: table-cell;margin-left:0 !important;text-indent: 0 !important;\" class=\"P186\"><span class=\"T187\">A: K<\/span><span class=\"T188\">0<\/span><span class=\"T189\">&#x200b;&#x200b;&nbsp;= 12.000 kr.<\/span><\/p><\/li><li style=\"color: initial; font-family: initial;hyphenate: false;hyphenate: false;hyphenate: false;hyphenate: false;mleft: 0.5in !important;text-align: justify !important;\"><p style=\"display: table-cell;margin-left:0 !important;text-indent: 0 !important;\" class=\"P190\"><span class=\"T191\">B: K<\/span><span class=\"T192\">0<\/span><span class=\"T193\">&#x200b;&#x200b;&nbsp;= 3.000 + 4.000*(1+0,08)<\/span><span class=\"T194\">-1<\/span><span class=\"T195\">+6.000*(1+0,08)<\/span><span class=\"T196\">-2<\/span><span class=\"T197\">&#x200b;&#x200b;&nbsp;= 11.847,74 kr.&#x200b;&#x200b;&nbsp;<\/span><\/p><\/li><li style=\"color: initial; font-family: initial;hyphenate: false;hyphenate: false;hyphenate: false;hyphenate: false;mleft: 0.5in !important;text-align: justify !important;\"><p style=\"display: table-cell;margin-left:0 !important;text-indent: 0 !important;\" class=\"P198\"><span class=\"T199\">C: K<\/span><span class=\"T200\">0<\/span><span class=\"T201\">&#x200b;&#x200b;&nbsp;= 0 + 7.000*(1+0,08)<\/span><span class=\"T202\">-1<\/span><span class=\"T203\">&#x200b;&#x200b;&nbsp;+ 7.000*(1+0,08)<\/span><span class=\"T204\">-2<\/span><span class=\"T205\">&#x200b;&#x200b;&nbsp;= 12.482,85 kr.&#x200b;&#x200b;&nbsp;<\/span><\/p><\/li><\/ul><p class=\"P206\"><span>Det vil sige at<\/span>&#x200b;&#x200b;&nbsp;<span>alternativ B v\u00e6lges, da dette tilbud er billigst.<\/span><\/p><p class=\"P207\">&nbsp;<\/p><h2 class=\"P208\"><span id=\"_Toc386647969\"\/><span>Formel for terminsrenten<\/span><\/h2><p class=\"P209\"><span class=\"T210\">Ligesom det er muligt at beregne K<\/span><span class=\"T211\">n<\/span><span class=\"T212\">&#x200b;&#x200b;&nbsp;og K<\/span><span class=\"T213\">0<\/span><span class=\"T214\">, er det naturligvis ogs\u00e5 muligt at beregne r, hvis dette er den ubekendte. Dette g\u00f8res ved hj\u00e6lp af formlen:<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"P215\"><span class=\"T216\">r =&#x200b;&#x200b;&nbsp;<\/span><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mroot><mml:mrow><mml:mfrac><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant=\"bold-italic\">K<\/mml:mi><\/mml:mrow><mml:mrow><mml:mi mathvariant=\"bold-italic\">n<\/mml:mi><\/mml:mrow><\/mml:msub><\/mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant=\"bold-italic\">K<\/mml:mi><\/mml:mrow><mml:mrow><mml:mn>0<\/mml:mn><\/mml:mrow><\/mml:msub><\/mml:mrow><\/mml:mfrac><\/mml:mrow><mml:mrow><mml:mi mathvariant=\"bold-italic\">n<\/mml:mi><\/mml:mrow><\/mml:mroot><\/mml:math><\/span><\/span><span class=\"T217\">&#x200b;&#x200b;&nbsp;- 1 &nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&#x200b;&#x200b;&nbsp;<\/span><\/p><p class=\"P218\"><span class=\"T219\">Et eksempel p\u00e5 brugen af denne formel kunne v\u00e6re, at man s\u00e6tter 20.000 ind p\u00e5 en konto. Disse penge lader man s\u00e5 st\u00e5 i 8 \u00e5r, hvorefter der p\u00e5 kontoen st\u00e5r 25.000. Her vil K<\/span><span class=\"T220\">N<\/span><span class=\"T221\">&#x200b;&#x200b;&nbsp;v\u00e6re 25.000, mens K<\/span><span class=\"T222\">0<\/span><span class=\"T223\">&#x200b;&#x200b;&nbsp;er 20.000 og N er s\u00e5 8. Terminsrenten<\/span><span class=\"T224\">(<\/span><span class=\"T225\">r<\/span><span class=\"T226\">)<\/span><span class=\"T227\">&#x200b;&#x200b;&nbsp;beregnes s\u00e5 s\u00e5ledes:<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"P228\"><span class=\"T229\">r =&#x200b;&#x200b;&nbsp;<\/span><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mroot><mml:mrow><mml:mfrac><mml:mrow><mml:mn>25.000<\/mml:mn><\/mml:mrow><mml:mrow><mml:mn>20.000<\/mml:mn><\/mml:mrow><\/mml:mfrac><\/mml:mrow><mml:mrow><mml:mn>8<\/mml:mn><\/mml:mrow><\/mml:mroot><mml:mi mathvariant=\"normal\">\u00a0<\/mml:mi><mml:mo>-<\/mml:mo><mml:mn>1<\/mml:mn><mml:mi mathvariant=\"normal\">\u00a0<\/mml:mi><\/mml:math><\/span><\/span><span class=\"T230\">= 0,0283 = 2,83%<\/span><\/p><p class=\"P231\"><span>Formlen for<\/span>&#x200b;&#x200b;&nbsp;<span>r er fundet ved at g\u00f8re s\u00e5ledes:<\/span>&#x200b;&#x200b;&nbsp;<span>\u00a0<\/span><\/p><p class=\"P232\"><span class=\"T233\">K<\/span><span class=\"T234\">n<\/span><span class=\"T235\">&#x200b;&#x200b;&nbsp;= K<\/span><span class=\"T236\">0<\/span><span class=\"T237\">*(1+r)<\/span><span class=\"T238\">n<\/span><\/p><p class=\"P239\"><span class=\"T240\">Der divideres med K<\/span><span class=\"T241\">0<\/span><span class=\"T242\">&#x200b;&#x200b;&nbsp;p\u00e5 begge sider:<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"P243\"><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\" display=\"block\" indentalign=\"center\"><mml:mfrac><mml:mrow><mml:msub><mml:mrow><mml:mi>K<\/mml:mi><\/mml:mrow><mml:mrow><mml:mi>n<\/mml:mi><\/mml:mrow><\/mml:msub><\/mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi>K<\/mml:mi><\/mml:mrow><mml:mrow><mml:mn>0<\/mml:mn><\/mml:mrow><\/mml:msub><\/mml:mrow><\/mml:mfrac><mml:mo>=<\/mml:mo><mml:msup><mml:mrow><mml:mfenced separators=\"|\"><mml:mrow><mml:mn>1<\/mml:mn><mml:mo>+<\/mml:mo><mml:mi>r<\/mml:mi><\/mml:mrow><\/mml:mfenced><\/mml:mrow><mml:mrow><mml:mi>n<\/mml:mi><\/mml:mrow><\/mml:msup><mml:mi mathvariant=\"normal\">\u00a0<\/mml:mi><\/mml:math><\/span><\/span><span class=\"T244\">&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&#x200b;&#x200b;&nbsp;<\/span><\/p><p class=\"P245\"><span class=\"T246\">Jeg tager den N'te rod af tallene:<\/span><span class=\"T247\">&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&#x200b;&#x200b;&nbsp;<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"P248\"><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mroot><mml:mrow><mml:mfrac><mml:mrow><mml:msub><mml:mrow><mml:mi>K<\/mml:mi><\/mml:mrow><mml:mrow><mml:mi>n<\/mml:mi><\/mml:mrow><\/mml:msub><\/mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi>K<\/mml:mi><\/mml:mrow><mml:mrow><mml:mn>0<\/mml:mn><\/mml:mrow><\/mml:msub><\/mml:mrow><\/mml:mfrac><\/mml:mrow><mml:mrow><mml:mi>n<\/mml:mi><\/mml:mrow><\/mml:mroot><\/mml:math><\/span><\/span><span class=\"T249\">&#x200b;&#x200b;&nbsp;=&#x200b;&#x200b;&nbsp;<\/span><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mroot><mml:mrow><mml:msup><mml:mrow><mml:mfenced separators=\"|\"><mml:mrow><mml:mn>1<\/mml:mn><mml:mo>+<\/mml:mo><mml:mi>r<\/mml:mi><\/mml:mrow><\/mml:mfenced><\/mml:mrow><mml:mrow><mml:mi>n<\/mml:mi><\/mml:mrow><\/mml:msup><mml:mi mathvariant=\"normal\">\u00a0<\/mml:mi><\/mml:mrow><mml:mrow><mml:mi>n<\/mml:mi><\/mml:mrow><\/mml:mroot><\/mml:math><\/span><\/span><span class=\"T250\">&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&#x200b;&#x200b;&nbsp;<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"P251\"><span class=\"T252\">Den N'te rod af et tal i N'te, giver tallet selv(fx den syvende rod af 5 i syvende er lig 5(<\/span><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mroot><mml:mrow><mml:msup><mml:mrow><mml:mn>5<\/mml:mn><\/mml:mrow><mml:mrow><mml:mn>7<\/mml:mn><\/mml:mrow><\/mml:msup><\/mml:mrow><mml:mrow><mml:mn>7<\/mml:mn><\/mml:mrow><\/mml:mroot><mml:mo>=<\/mml:mo><mml:mn>5<\/mml:mn><\/mml:math><\/span><\/span><span class=\"T253\">)), derfor kan jeg lave&#x200b;&#x200b;&nbsp;<\/span><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mroot><mml:mrow><mml:msup><mml:mrow><mml:mfenced separators=\"|\"><mml:mrow><mml:mn>1<\/mml:mn><mml:mo>+<\/mml:mo><mml:mi mathvariant=\"normal\">r<\/mml:mi><\/mml:mrow><\/mml:mfenced><\/mml:mrow><mml:mrow><mml:mi mathvariant=\"normal\">n<\/mml:mi><\/mml:mrow><\/mml:msup><mml:mi mathvariant=\"normal\">\u00a0<\/mml:mi><\/mml:mrow><mml:mrow><mml:mi mathvariant=\"normal\">n<\/mml:mi><\/mml:mrow><\/mml:mroot><\/mml:math><\/span><\/span><span class=\"T254\">&#x200b;&#x200b;&nbsp;om til 1 + r: &nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&#x200b;&#x200b;&nbsp;<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"P255\"><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mroot><mml:mrow><mml:mfrac><mml:mrow><mml:msub><mml:mrow><mml:mi>K<\/mml:mi><\/mml:mrow><mml:mrow><mml:mi>n<\/mml:mi><\/mml:mrow><\/mml:msub><\/mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi>K<\/mml:mi><\/mml:mrow><mml:mrow><mml:mn>0<\/mml:mn><\/mml:mrow><\/mml:msub><\/mml:mrow><\/mml:mfrac><\/mml:mrow><mml:mrow><mml:mi>n<\/mml:mi><\/mml:mrow><\/mml:mroot><\/mml:math><\/span><\/span><span class=\"T256\">&#x200b;&#x200b;&nbsp;= 1 + r &nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&#x200b;&#x200b;&nbsp;<\/span><\/p><p class=\"P257\"><span class=\"T258\">Jeg minusser med 1 p\u00e5 begge sider:<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"P259\"><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mroot><mml:mrow><mml:mfrac><mml:mrow><mml:msub><mml:mrow><mml:mi>K<\/mml:mi><\/mml:mrow><mml:mrow><mml:mi>N<\/mml:mi><\/mml:mrow><\/mml:msub><\/mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi>K<\/mml:mi><\/mml:mrow><mml:mrow><mml:mn>0<\/mml:mn><\/mml:mrow><\/mml:msub><\/mml:mrow><\/mml:mfrac><\/mml:mrow><mml:mrow><mml:mi>N<\/mml:mi><\/mml:mrow><\/mml:mroot><\/mml:math><\/span><\/span><span class=\"T260\">&#x200b;&#x200b;&nbsp;- 1 = r &nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&#x200b;&#x200b;&nbsp;<\/span><\/p><p class=\"P261\"><span class=\"T262\">Og vi har formlen:<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"P263\"><span class=\"T264\">r =&#x200b;&#x200b;&nbsp;<\/span><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mroot><mml:mrow><mml:mfrac><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant=\"bold-italic\">K<\/mml:mi><\/mml:mrow><mml:mrow><mml:mi mathvariant=\"bold-italic\">n<\/mml:mi><\/mml:mrow><\/mml:msub><\/mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant=\"bold-italic\">K<\/mml:mi><\/mml:mrow><mml:mrow><mml:mn>0<\/mml:mn><\/mml:mrow><\/mml:msub><\/mml:mrow><\/mml:mfrac><\/mml:mrow><mml:mrow><mml:mi mathvariant=\"bold-italic\">N<\/mml:mi><\/mml:mrow><\/mml:mroot><\/mml:math><\/span><\/span><span class=\"T265\">&#x200b;&#x200b;&nbsp;- 1 &nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&#x200b;&#x200b;&nbsp;<\/span><\/p><p class=\"P266\"><span>\u00a0<\/span><\/p><h2 class=\"P267\"><span id=\"_Toc386647970\"\/><span>Formel for gennemsnitlig<\/span>&#x200b;&#x200b;&nbsp;<span>rente<\/span><\/h2><p class=\"P268\"><span>S\u00e6tter man penge ind p\u00e5 en konto, hvor der i et bestemt antal \u00e5r gives en hvis rente, hvorefter der gives en anden rente, kan man v\u00e6re interesseret i at finde den gennemsnitlige rente. Dette g\u00f8res s\u00e5ledes:\u00a0<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"P269\"><span class=\"T270\">r =&#x200b;&#x200b;&nbsp;<\/span><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mroot><mml:mrow><mml:mfenced separators=\"|\"><mml:mrow><mml:mn>1<\/mml:mn><mml:mo>+<\/mml:mo><mml:msub><mml:mrow><mml:mi>r<\/mml:mi><\/mml:mrow><mml:mrow><mml:mn>1<\/mml:mn><\/mml:mrow><\/mml:msub><\/mml:mrow><\/mml:mfenced><mml:mi mathvariant=\"normal\">*<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mn>1<\/mml:mn><mml:mo>+<\/mml:mo><mml:msub><mml:mrow><mml:mi>r<\/mml:mi><\/mml:mrow><mml:mrow><mml:mn>2<\/mml:mn><\/mml:mrow><\/mml:msub><\/mml:mrow><\/mml:mfenced><mml:mi mathvariant=\"normal\">*<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mn>1<\/mml:mn><mml:mo>+<\/mml:mo><mml:msub><mml:mrow><mml:mi>r<\/mml:mi><\/mml:mrow><mml:mrow><mml:mn>3<\/mml:mn><\/mml:mrow><\/mml:msub><\/mml:mrow><\/mml:mfenced><mml:mo>\u2026<\/mml:mo><mml:mo>(<\/mml:mo><mml:mn>1<\/mml:mn><mml:mo>+<\/mml:mo><mml:msub><mml:mrow><mml:mi>r<\/mml:mi><\/mml:mrow><mml:mrow><mml:mi>N<\/mml:mi><\/mml:mrow><\/mml:msub><mml:mo>)<\/mml:mo><\/mml:mrow><mml:mrow><mml:mi>n<\/mml:mi><\/mml:mrow><\/mml:mroot><\/mml:math><\/span><\/span><span class=\"T271\">&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&#x200b;&#x200b;&nbsp;- 1&#x200b;&#x200b;&nbsp;<\/span><\/p><p class=\"P272\"><span class=\"T273\"><svg height=\"38.73344\" width=\"266.40032\" style=\"overflow: visible;\" class=\"a32\"><line x1=\"261.40032\" x2=\"261.40032\" y1=\"33.73344\" y2=\"8.73312\" style=\"\" class=\"a32\"\/><svg style=\"position: absolute; top: 0; left: 0;overflow: visible;padding: 0 !important; border: none !important;\" viewBox=\"0 0 20 30\" width=\"8\" height=\"12\" x=\"257.40032\" y=\"8.73312\" class=\"a32\"><path transform=\"rotate(0 , 10, 0)\" class=\"a32\" d=\"m10 0-10 30h20z\" fill=\"#000000\" stroke=\"#000000\" stroke-width=\"0.06945in\"\/><\/svg><\/svg><\/span><span class=\"T274\"><svg height=\"38.73344\" width=\"68.40032\" style=\"overflow: visible;\" class=\"a34\"><line x1=\"63.40032\" x2=\"63.40032\" y1=\"33.73344\" y2=\"8.73312\" style=\"\" class=\"a34\"\/><svg style=\"position: absolute; top: 0; left: 0;overflow: visible;padding: 0 !important; border: none !important;\" viewBox=\"0 0 20 30\" width=\"8\" height=\"12\" x=\"59.40032\" y=\"8.73312\" class=\"a34\"><path transform=\"rotate(0 , 10, 0)\" class=\"a34\" d=\"m10 0-10 30h20z\" fill=\"#000000\" stroke=\"#000000\" stroke-width=\"0.06945in\"\/><\/svg><\/svg><\/span><span class=\"T275\">\u00a0<\/span><\/p><p class=\"P276\"><span>\u00a0Terminsrente i perioden 1 <\/span>&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&#x200b;&#x200b;&nbsp;<span>Terminsrente i perioden N<\/span><\/p><p class=\"P277\"><span class=\"T278\">Et eksempel p\u00e5 at finde den gennemsnitlige rente kunne v\u00e6re, at man inds\u00e6tter 5.000 kr. p\u00e5 en konto. I de f\u00f8rste 4 \u00e5r er rente s\u00e5 p\u00e5 6% p.a., herefter s\u00e6nkes den, og er i de f\u00f8lgende 10 \u00e5r er p\u00e5 4% p.a. hvorefter pengene bliver udbetalt. Er man s\u00e5 interesseret i at finde den gennemsnitlige rente, g\u00f8res dette s\u00e5ledes:<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"P279\"><span class=\"T280\">\u00a0r =&#x200b;&#x200b;&nbsp;<\/span><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mroot><mml:mrow><mml:msup><mml:mrow><mml:mfenced separators=\"|\"><mml:mrow><mml:mn>1<\/mml:mn><mml:mo>+<\/mml:mo><mml:mn>0,06<\/mml:mn><\/mml:mrow><\/mml:mfenced><\/mml:mrow><mml:mrow><mml:mn>4<\/mml:mn><\/mml:mrow><\/mml:msup><mml:mi mathvariant=\"normal\">*<\/mml:mi><mml:msup><mml:mrow><mml:mfenced separators=\"|\"><mml:mrow><mml:mn>1<\/mml:mn><mml:mo>+<\/mml:mo><mml:mn>0,04<\/mml:mn><\/mml:mrow><\/mml:mfenced><\/mml:mrow><mml:mrow><mml:mn>10<\/mml:mn><\/mml:mrow><\/mml:msup><\/mml:mrow><mml:mrow><mml:mn>14<\/mml:mn><\/mml:mrow><\/mml:mroot><\/mml:math><\/span><\/span><span class=\"T281\">&#x200b;&#x200b;&nbsp;- 1 = 0,0457 = 4,57%\u00a0<\/span><\/p><p class=\"P282\"><span>\u00a0<\/span><\/p><h2 class=\"P283\"><span id=\"_Toc386647971\"\/><span>Formel for antal terminer<\/span><\/h2><p class=\"P284\"><span>Skal man beregne n<\/span>&#x200b;&#x200b;&nbsp;<span>i fremskrivningsformlen,<\/span>&#x200b;&#x200b;&nbsp;<span>g\u00f8res dette<\/span>&#x200b;&#x200b;&nbsp;<span>ved hj\u00e6lp af formlen:<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"P285\"><span class=\"T286\">n<\/span><span class=\"T287\">&#x200b;&#x200b;&nbsp;=&#x200b;&#x200b;&nbsp;<\/span><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mfrac><mml:mrow><mml:mi mathvariant=\"bold\">L<\/mml:mi><mml:mi mathvariant=\"bold\">O<\/mml:mi><mml:mi mathvariant=\"bold\">G<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mfrac><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant=\"bold-italic\">K<\/mml:mi><\/mml:mrow><mml:mrow><mml:mi mathvariant=\"bold-italic\">n<\/mml:mi><\/mml:mrow><\/mml:msub><\/mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant=\"bold-italic\">K<\/mml:mi><\/mml:mrow><mml:mrow><mml:mn>0<\/mml:mn><\/mml:mrow><\/mml:msub><\/mml:mrow><\/mml:mfrac><\/mml:mrow><\/mml:mfenced><\/mml:mrow><mml:mrow><mml:mi mathvariant=\"bold\">L<\/mml:mi><mml:mi mathvariant=\"bold\">O<\/mml:mi><mml:mi mathvariant=\"bold\">G<\/mml:mi><mml:mo>(<\/mml:mo><mml:mn>1<\/mml:mn><mml:mo>+<\/mml:mo><mml:mi mathvariant=\"bold\">r<\/mml:mi><mml:mo>)<\/mml:mo><\/mml:mrow><\/mml:mfrac><\/mml:math><\/span><\/span><\/p><p class=\"P288\"><span>Denne formel er fundet ved at g\u00f8re s\u00e5ledes:<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"P289\"><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mfrac><mml:mrow><mml:msub><mml:mrow><mml:mi>K<\/mml:mi><\/mml:mrow><mml:mrow><mml:mi>n<\/mml:mi><\/mml:mrow><\/mml:msub><\/mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi>K<\/mml:mi><\/mml:mrow><mml:mrow><mml:mn>0<\/mml:mn><\/mml:mrow><\/mml:msub><\/mml:mrow><\/mml:mfrac><\/mml:math><\/span><\/span><span class=\"T290\">&#x200b;&#x200b;&nbsp;= (1+r)<\/span><span class=\"T291\">n<\/span><\/p><p class=\"P292\"><span class=\"T293\">Man brug<\/span><span class=\"T294\">er<\/span><span class=\"T295\">&#x200b;&#x200b;&nbsp;LOG:<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"P296\"><span class=\"T297\">LOG<\/span><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mfenced separators=\"|\"><mml:mrow><mml:mfrac><mml:mrow><mml:msub><mml:mrow><mml:mi>K<\/mml:mi><\/mml:mrow><mml:mrow><mml:mi>n<\/mml:mi><\/mml:mrow><\/mml:msub><\/mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi>K<\/mml:mi><\/mml:mrow><mml:mrow><mml:mn>0<\/mml:mn><\/mml:mrow><\/mml:msub><\/mml:mrow><\/mml:mfrac><\/mml:mrow><\/mml:mfenced><\/mml:math><\/span><\/span><span class=\"T298\">&#x200b;&#x200b;&nbsp;= LOG(1+r)<\/span><span class=\"T299\">n<\/span><\/p><p class=\"P300\"><span class=\"T301\">Man benytter logaritmereglen: LOG(a<\/span><span class=\"T302\">n<\/span><span class=\"T303\">) = N*LOG(a):<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"P304\"><span class=\"T305\">LOG<\/span><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mfenced separators=\"|\"><mml:mrow><mml:mfrac><mml:mrow><mml:msub><mml:mrow><mml:mi>K<\/mml:mi><\/mml:mrow><mml:mrow><mml:mi>n<\/mml:mi><\/mml:mrow><\/mml:msub><\/mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi>K<\/mml:mi><\/mml:mrow><mml:mrow><mml:mn>0<\/mml:mn><\/mml:mrow><\/mml:msub><\/mml:mrow><\/mml:mfrac><\/mml:mrow><\/mml:mfenced><\/mml:math><\/span><\/span><span class=\"T306\">&#x200b;&#x200b;&nbsp;= N*LOG(1+r) &nbsp;&#x200b;&#x200b;&#x200b;&#x200b;&nbsp;<\/span><\/p><p class=\"P307\"><span class=\"T308\">Man dividerer med LOG(1+r):<\/span><span class=\"T309\">&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&#x200b;&#x200b;&nbsp;<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"P310\"><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mfrac><mml:mrow><mml:mi mathvariant=\"normal\">L<\/mml:mi><mml:mi mathvariant=\"normal\">O<\/mml:mi><mml:mi mathvariant=\"normal\">G<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mfrac><mml:mrow><mml:msub><mml:mrow><mml:mi>K<\/mml:mi><\/mml:mrow><mml:mrow><mml:mi>n<\/mml:mi><\/mml:mrow><\/mml:msub><\/mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi>K<\/mml:mi><\/mml:mrow><mml:mrow><mml:mn>0<\/mml:mn><\/mml:mrow><\/mml:msub><\/mml:mrow><\/mml:mfrac><\/mml:mrow><\/mml:mfenced><\/mml:mrow><mml:mrow><mml:mi mathvariant=\"normal\">L<\/mml:mi><mml:mi mathvariant=\"normal\">O<\/mml:mi><mml:mi mathvariant=\"normal\">G<\/mml:mi><mml:mo>(<\/mml:mo><mml:mn>1<\/mml:mn><mml:mo>+<\/mml:mo><mml:mi mathvariant=\"normal\">r<\/mml:mi><mml:mo>)<\/mml:mo><\/mml:mrow><\/mml:mfrac><\/mml:math><\/span><\/span><span class=\"T311\">&#x200b;&#x200b;&nbsp;= N<\/span><\/p><p class=\"P312\"><span>Og man har nu formlen:<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"P313\"><span class=\"T314\">n<\/span><span class=\"T315\">&#x200b;&#x200b;&nbsp;=&#x200b;&#x200b;&nbsp;<\/span><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mfrac><mml:mrow><mml:mi mathvariant=\"bold\">L<\/mml:mi><mml:mi mathvariant=\"bold\">O<\/mml:mi><mml:mi mathvariant=\"bold\">G<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mfrac><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant=\"bold-italic\">K<\/mml:mi><\/mml:mrow><mml:mrow><mml:mi mathvariant=\"bold-italic\">n<\/mml:mi><\/mml:mrow><\/mml:msub><\/mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant=\"bold-italic\">K<\/mml:mi><\/mml:mrow><mml:mrow><mml:mn>0<\/mml:mn><\/mml:mrow><\/mml:msub><\/mml:mrow><\/mml:mfrac><\/mml:mrow><\/mml:mfenced><\/mml:mrow><mml:mrow><mml:mi mathvariant=\"bold\">L<\/mml:mi><mml:mi mathvariant=\"bold\">O<\/mml:mi><mml:mi mathvariant=\"bold\">G<\/mml:mi><mml:mo>(<\/mml:mo><mml:mn>1<\/mml:mn><mml:mo>+<\/mml:mo><mml:mi mathvariant=\"bold\">r<\/mml:mi><mml:mo>)<\/mml:mo><\/mml:mrow><\/mml:mfrac><\/mml:math><\/span><\/span><\/p><p class=\"P316\"><span class=\"T317\">Et eksempel p\u00e5 brugen af den kunne v\u00e6re, at man vil vide hvor mange kvartaler der g\u00e5r, f\u00f8r 6.200 er vokset til 15.000, hvis de st\u00e5r p\u00e5 en konto med 2,5% i rente pr. kvartal.&#x200b;&#x200b;&nbsp;<\/span><span class=\"T318\">Det vil s\u00e5 sige at K<\/span><span class=\"T319\">0<\/span><span class=\"T320\">&#x200b;&#x200b;&nbsp;er lige 6.200, mens K<\/span><span class=\"T321\">n<\/span><span class=\"T322\">&#x200b;&#x200b;&nbsp;er lig 15.000, og r er lig 0,025.<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"P323\"><span class=\"T324\">\u00a0n<\/span><span class=\"T325\">&#x200b;&#x200b;&nbsp;=&#x200b;&#x200b;&nbsp;<\/span><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mfrac><mml:mrow><mml:mi mathvariant=\"normal\">L<\/mml:mi><mml:mi mathvariant=\"normal\">O<\/mml:mi><mml:mi mathvariant=\"normal\">G<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mfrac><mml:mrow><mml:mn>15.000<\/mml:mn><\/mml:mrow><mml:mrow><mml:mn>6.200<\/mml:mn><\/mml:mrow><\/mml:mfrac><\/mml:mrow><\/mml:mfenced><\/mml:mrow><mml:mrow><mml:mi mathvariant=\"normal\">L<\/mml:mi><mml:mi mathvariant=\"normal\">O<\/mml:mi><mml:mi mathvariant=\"normal\">G<\/mml:mi><mml:mo>(<\/mml:mo><mml:mn>1<\/mml:mn><mml:mo>+<\/mml:mo><mml:mn>0,025<\/mml:mn><mml:mo>)<\/mml:mo><\/mml:mrow><\/mml:mfrac><mml:mi mathvariant=\"normal\">\u00a0<\/mml:mi><\/mml:math><\/span><\/span><span class=\"T326\">= 35,78&#x200b;&#x200b;&nbsp;<\/span><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mo>\u2248<\/mml:mo><mml:mi mathvariant=\"normal\">\u00a0<\/mml:mi><\/mml:math><\/span><\/span><span class=\"T327\">36\u00a0<\/span><\/p><p class=\"P328\">&nbsp;<\/p><h2 class=\"P329\"><span id=\"_Toc386647972\"\/><span>Effektiv rente<\/span><\/h2><p class=\"P330\"><span>Den<\/span>&#x200b;&#x200b;&nbsp;<span>effektive rente er den<\/span>&#x200b;&#x200b;&nbsp;<span>reelle rente inklusiv<\/span>&#x200b;&#x200b;&nbsp;<span>rentes rente.<\/span>&#x200b;&#x200b;&nbsp;<span>Formlen for den effektive rente er:<\/span><\/p><p class=\"Normal\"><span class=\"T331\">i = (1+r)<\/span><span class=\"T332\">n<\/span><span class=\"T333\">&#x200b;&#x200b;&nbsp;- 1<\/span><\/p><p class=\"P334\"><span>Her st\u00e5r<\/span>&#x200b;&#x200b;&nbsp;<span>i<\/span>&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;<span>jo naturligvis for den effektive rente, mens r er rentefoden pr. termin, og n er antallet af terminer.<\/span>&#x200b;&#x200b;&nbsp;<span>Et eksempel p\u00e5 at finde den effektive rente kunne v\u00e6re, at en mand f\u00e5r 12% i rente p.a. Terminsrenten bliver s\u00e5:<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"P335\"><span class=\"T336\">Terminsrente:&#x200b;&#x200b;&nbsp;<\/span><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mfrac><mml:mrow><mml:mn>0,12<\/mml:mn><\/mml:mrow><mml:mrow><mml:mn>12<\/mml:mn><\/mml:mrow><\/mml:mfrac><\/mml:math><\/span><\/span><span class=\"T337\">&#x200b;&#x200b;&nbsp;= 0,01 &#x200b;&#x200b;&nbsp;<\/span><\/p><p class=\"P338\"><span>Den effektive rente i procent p.a. bliver s\u00e5:<\/span><\/p><p class=\"P339\"><span class=\"T340\">i = (1+0,01)<\/span><span class=\"T341\">-12<\/span><span class=\"T342\">&#x200b;&#x200b;&nbsp;- 1 = 0,1268 * 100 = 12,68%.&#x200b;&#x200b;&nbsp;<\/span><span class=\"T343\">\u00a0<\/span><\/p><p class=\"P344\"><span>\u00a0<\/span><\/p><h2 class=\"P345\"><span id=\"_Toc386647973\"\/><span>Annuitetsregning<\/span><\/h2><p class=\"P346\"><span class=\"T347\">Ved&#x200b;&#x200b;&nbsp;<\/span><span class=\"T348\">en annuitet forst\u00e5s<\/span><span class=\"T349\">&#x200b;&#x200b;&nbsp;en r\u00e6kke lige st<\/span><span class=\"T350\">ore bel\u00f8b, ogs\u00e5 kaldet ydelser, som betales med lige store mellemrum.&#x200b;&#x200b;&nbsp;<\/span><span class=\"T351\">I virkelighedens verden vil der v\u00e6re tale om en annuitet, n\u00e5r der fx indbetales et lige stort bel\u00f8b p\u00e5 en opsparingskonto hver m\u00e5ned, eller omvendt hvis der afdrages et lige stort bel\u00f8b et bestemt bel\u00f8b p\u00e5 et l\u00e5n hver m\u00e5ned. &#x200b;&#x200b;&nbsp;<\/span><span class=\"T352\">\u00a0<\/span><\/p><p class=\"P353\">&nbsp;<\/p><h2 class=\"P354\"><span id=\"_Toc386647974\"\/><span>Opsparingsformel<\/span><span>\u00a0<\/span><\/h2><p class=\"P355\"><span class=\"T356\">Er der tale om et fast bel\u00f8b, som indbetales p\u00e5&#x200b;&#x200b;&nbsp;<\/span><span class=\"T357\">fx&#x200b;&#x200b;&nbsp;<\/span><span class=\"T358\">en opsparing<\/span><span class=\"T359\">skonto<\/span><span class=\"T360\">&#x200b;&#x200b;&nbsp;med faste mellemrum, kan opsparingsformlen benyttes, til at beregne hvor stort bel\u00f8bet vil v\u00e6re p\u00e5 et bestemt tidspunkt<\/span><span class=\"T361\">&#x200b;&#x200b;&nbsp;<\/span><span class=\"T362\">(kaldet A<\/span><span class=\"T363\">n<\/span><span class=\"T364\">).<\/span><span class=\"T365\">&#x200b;&#x200b;&nbsp;<\/span><span class=\"T366\">Det er dog ikke kun ved opsparinger at denne formel, trods navnet, kan benyttes. Den kan derimod benyttes i alle tilf\u00e6lde, hvor man p\u00e5 et bestemt tidspunkt(tidspunkt A<\/span><span class=\"T367\">n<\/span><span class=\"T368\">) vil kende v\u00e6rdien af en annuitet.<\/span><span class=\"T369\">&#x200b;&#x200b;&nbsp;Formlen lyder s\u00e5ledes:<\/span><span class=\"T370\">&nbsp;&#x200b;&#x200b;&#x200b;&#x200b;&nbsp;<\/span><span class=\"T371\">\u00a0<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"P372\"><span class=\"T373\">A<\/span><span class=\"T374\">n<\/span><span class=\"T375\">&#x200b;&#x200b;&nbsp;<\/span><span class=\"T376\">= y *&#x200b;&#x200b;&nbsp;<\/span><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mfrac><mml:mrow><mml:msup><mml:mrow><mml:mfenced separators=\"|\"><mml:mrow><mml:mn>1<\/mml:mn><mml:mo>+<\/mml:mo><mml:mi mathvariant=\"bold-italic\">r<\/mml:mi><\/mml:mrow><\/mml:mfenced><\/mml:mrow><mml:mrow><mml:mi mathvariant=\"bold-italic\">n<\/mml:mi><mml:mi mathvariant=\"normal\">\u00a0<\/mml:mi><\/mml:mrow><\/mml:msup><mml:mo>-<\/mml:mo><mml:mn>1<\/mml:mn><\/mml:mrow><mml:mrow><mml:mi mathvariant=\"bold-italic\">r<\/mml:mi><\/mml:mrow><\/mml:mfrac><\/mml:math><\/span><\/span><\/p><p class=\"P377\"><span class=\"T378\">Et e<\/span><span class=\"T379\">ksemp<\/span><span class=\"T380\">e<\/span><span class=\"T381\">l p\u00e5 brugen af opsparingsformlen<\/span><span class=\"T382\">&#x200b;&#x200b;&nbsp;kunne&#x200b;&#x200b;&nbsp;<\/span><span class=\"T383\">s\u00e5&#x200b;&#x200b;&nbsp;<\/span><span class=\"T384\">v\u00e6re, at d<\/span><span class=\"T385\">er&#x200b;&#x200b;&nbsp;<\/span><span class=\"T386\">hvert \u00e5r&#x200b;&#x200b;&nbsp;<\/span><span class=\"T387\">i 20 \u00e5r&#x200b;&#x200b;&nbsp;<\/span><span class=\"T388\">indbetales&#x200b;&#x200b;&nbsp;<\/span><span class=\"T389\">1.500 kr. p\u00e5 en&#x200b;&#x200b;&nbsp;<\/span><span class=\"T390\">konto<\/span><span class=\"T391\">&#x200b;&#x200b;&nbsp;med en rente p\u00e5 5% p.a.&#x200b;&#x200b;&nbsp;<\/span><span class=\"T392\">Her er n s\u00e5 20, mens r er 0,05, og y<\/span><span class=\"T393\">(terminsydelsen)<\/span><span class=\"T394\">&#x200b;&#x200b;&nbsp;er 1.500.&#x200b;&#x200b;&nbsp;<\/span><span class=\"T395\">Vil man s\u00e5 finde ud af hvor meget der st\u00e5r p\u00e5 kontoen efter sidste indbetaling, g\u00f8res dette s\u00e5ledes:<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"P396\"><span class=\"T397\">A<\/span><span class=\"T398\">n<\/span><span class=\"T399\">&#x200b;&#x200b;&nbsp;<\/span><span class=\"T400\">= 1.500 *&#x200b;&#x200b;&nbsp;<\/span><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mfrac><mml:mrow><mml:msup><mml:mrow><mml:mfenced separators=\"|\"><mml:mrow><mml:mn>1,03<\/mml:mn><\/mml:mrow><\/mml:mfenced><\/mml:mrow><mml:mrow><mml:mn>4<\/mml:mn><mml:mi mathvariant=\"normal\">\u00a0<\/mml:mi><\/mml:mrow><\/mml:msup><mml:mo>-<\/mml:mo><mml:mn>1<\/mml:mn><\/mml:mrow><mml:mrow><mml:mn>0,03<\/mml:mn><\/mml:mrow><\/mml:mfrac><\/mml:math><\/span><\/span><span class=\"T401\">&#x200b;&#x200b;&nbsp;=&#x200b;&#x200b;&nbsp;<\/span><span class=\"T402\">16.734,51 kr.<\/span><\/p><p class=\"P403\"><span class=\"T404\">For bedre at forst\u00e5 formlen m\u00e5 man vide, at man i stedet kunne sige 4.000 + 4.000*(1+0,03)<\/span><span class=\"T405\">1<\/span><span class=\"T406\">&#x200b;&#x200b;&nbsp;+ 4.000*(1+0,03)<\/span><span class=\"T407\">2<\/span><span class=\"T408\">&#x200b;&#x200b;&nbsp;+ 4.000*(1+0,03)<\/span><span class=\"T409\">3<\/span><span class=\"T410\">&#x200b;&#x200b;&nbsp;= 16.734,51 kr.&#x200b;&#x200b;&nbsp;<\/span><\/p><p class=\"P411\"><span>Dette er illustreret herunder.<\/span><\/p><p class=\"P412\"><span class=\"T413\"><span><img 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\" style=\"z-index: 100;width: 6.39119in;height: 2.31072in;width: 6.39119in;display: inline;\" title=\"\" alt=\"\"\/><\/span><\/span><\/p><p class=\"P414\"><span>Et andet eksempel kunne v\u00e6re, at en studerende<\/span>&#x200b;&#x200b;&nbsp;<span>i 5 \u00e5r optager<\/span>&#x200b;&#x200b;&nbsp;<span>et studiel\u00e5n p\u00e5 15.000 kr. hvert \u00e5r. Der betales ikke af p\u00e5 l\u00e5nene i denne periode, men renten tilskrives l\u00f8bende med 3% p.a.<\/span>&#x200b;&#x200b;&nbsp;<span>Den studerende vil s\u00e5 gerne vide hvor meget han skylder efter de 5 \u00e5r, dette g\u00f8res s\u00e5ledes:<\/span>&#x200b;&#x200b;&nbsp;<\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"P415\"><span class=\"T416\">A<\/span><span class=\"T417\">n<\/span><span class=\"T418\">&#x200b;&#x200b;&nbsp;<\/span><span class=\"T419\">= 15.000 *&#x200b;&#x200b;&nbsp;<\/span><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mfrac><mml:mrow><mml:msup><mml:mrow><mml:mfenced separators=\"|\"><mml:mrow><mml:mn>1,03<\/mml:mn><\/mml:mrow><\/mml:mfenced><\/mml:mrow><mml:mrow><mml:mn>5<\/mml:mn><mml:mi mathvariant=\"normal\">\u00a0<\/mml:mi><\/mml:mrow><\/mml:msup><mml:mo>-<\/mml:mo><mml:mn>1<\/mml:mn><\/mml:mrow><mml:mrow><mml:mn>0,03<\/mml:mn><\/mml:mrow><\/mml:mfrac><\/mml:math><\/span><\/span><span class=\"T420\">&#x200b;&#x200b;&nbsp;= 79.637,03715<\/span><span class=\"T421\">&#x200b;&#x200b;&nbsp;kr.<\/span><\/p><p class=\"P422\"><span>\u00a0<\/span><\/p><h2 class=\"P423\"><span id=\"_Toc386647975\"\/><span>At finde r<\/span>&#x200b;&#x200b;&nbsp;<span>i opsparingsformlen<\/span><\/h2><p class=\"P424\"><span class=\"T425\">Kender du A<\/span><span class=\"T426\">n<\/span><span class=\"T427\">, n<\/span><span class=\"T428\">&#x200b;&#x200b;&nbsp;og y i opsparingsformlen, og dermed skal&#x200b;&#x200b;&nbsp;<\/span><span class=\"T429\">finde terminsrenten(r), kan det g\u00f8res ved hj\u00e6lp af Maple. Hvordan dette g\u00f8res, er vist i eksemplet herunder.&#x200b;&#x200b;&nbsp;<\/span><span class=\"T430\">Her har nogle for\u00e6ldre<\/span><span class=\"T431\">&#x200b;&#x200b;&nbsp;til et&#x200b;&#x200b;&nbsp;<\/span><span class=\"T432\">barn hvert \u00e5r i 20 \u00e5r<\/span><span class=\"T433\">,&#x200b;&#x200b;&nbsp;<\/span><span class=\"T434\">indsat 1.000 kr. p\u00e5 en b\u00f8rneopsparingskonto.<\/span><span class=\"T435\">&#x200b;&#x200b;&nbsp;<\/span><span class=\"T436\">Efter&#x200b;&#x200b;&nbsp;<\/span><span class=\"T437\">den 20. indbetaling udg\u00f8r&#x200b;&#x200b;&nbsp;<\/span><span class=\"T438\">saldoen p\u00e5 kontoen s\u00e5&#x200b;&#x200b;&nbsp;<\/span><span class=\"T439\">64.202,82 kr.<\/span><span class=\"T440\">&#x200b;&#x200b;&nbsp;I forhold til opsparingsformlen, kender vi&#x200b;&#x200b;&nbsp;<\/span><span class=\"T441\">som sagt&#x200b;&#x200b;&nbsp;<\/span><span class=\"T442\">her 3 ud af 4 ting, og kan dermed med hj\u00e6lp fra Maple, udregne den fjerde ting, terminsrenten(r).&#x200b;&#x200b;&nbsp;<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"P443\"><span class=\"T444\">A<\/span><span class=\"T445\">n<\/span><span class=\"T446\">&#x200b;&#x200b;&nbsp;<\/span><span class=\"T447\">= y *&#x200b;&#x200b;&nbsp;<\/span><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mfrac><mml:mrow><mml:msup><mml:mrow><mml:mfenced separators=\"|\"><mml:mrow><mml:mn>1<\/mml:mn><mml:mo>+<\/mml:mo><mml:mi>r<\/mml:mi><\/mml:mrow><\/mml:mfenced><\/mml:mrow><mml:mrow><mml:mi>n<\/mml:mi><mml:mi mathvariant=\"normal\">\u00a0<\/mml:mi><\/mml:mrow><\/mml:msup><mml:mo>-<\/mml:mo><mml:mn>1<\/mml:mn><\/mml:mrow><mml:mrow><mml:mi>r<\/mml:mi><\/mml:mrow><\/mml:mfrac><\/mml:math><\/span><\/span><\/p><p class=\"P448\"><span class=\"T449\"><span><img src=\"data:image\/tmp;base64,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\" style=\"z-index: 100;width: 6.69306in;height: 1.28819in;width: 6.69306in;display: inline;\" title=\"\" alt=\"\"\/><\/span><\/span><\/p><p class=\"P450\"><span>Som det ses, s\u00e5 bliver terminsrenten 10,99%.<\/span>&#x200b;&#x200b;&nbsp;<span>Dette findes meget simpelt ved, at s\u00e6tte de v\u00e6rdier man kender ind i formlen:<\/span>&#x200b;&#x200b;&nbsp;<\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"P451\"><span class=\"T452\">A<\/span><span class=\"T453\">n&#x200b;&#x200b;&nbsp;<\/span><span class=\"T454\">= y *&#x200b;&#x200b;&nbsp;<\/span><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mfrac><mml:mrow><mml:msup><mml:mrow><mml:mfenced separators=\"|\"><mml:mrow><mml:mn>1<\/mml:mn><mml:mo>+<\/mml:mo><mml:mi>r<\/mml:mi><\/mml:mrow><\/mml:mfenced><\/mml:mrow><mml:mrow><mml:mi>n<\/mml:mi><mml:mi mathvariant=\"normal\">\u00a0<\/mml:mi><\/mml:mrow><\/mml:msup><mml:mo>-<\/mml:mo><mml:mn>1<\/mml:mn><\/mml:mrow><mml:mrow><mml:mi>r<\/mml:mi><\/mml:mrow><\/mml:mfrac><\/mml:math><\/span><\/span><span class=\"T455\">.&#x200b;&#x200b;&nbsp;<\/span><\/p><p class=\"P456\"><span>Der trykkes s\u00e5 enter, og det f\u00f8rste bl\u00e5 resultat fremkommer.<\/span>&#x200b;&#x200b;&nbsp;<span>Dette markerer man s\u00e5, hvorefter der<\/span>&#x200b;&#x200b;&nbsp;<span>h\u00f8jre klikkes<\/span>&#x200b;&#x200b;&nbsp;<span>p\u00e5 det.<\/span>&#x200b;&#x200b;&nbsp;<span>Man v\u00e6lger Solve, og Numerically Solve, og man f\u00e5r<\/span>&#x200b;&#x200b;&nbsp;<span>derefter resultatet. <\/span>&#x200b;&#x200b;&nbsp;<\/p><p class=\"P457\">&nbsp;<\/p><h2 class=\"P458\"><span id=\"_Toc386647976\"\/><span>At finde y<\/span>&#x200b;&#x200b;&nbsp;<span>i opsparingsformlen<\/span><\/h2><p class=\"P459\"><span class=\"T460\">Kender man derimod r, n og A<\/span><span class=\"T461\">n<\/span><span class=\"T462\">, og dermed mangler at finde y,&#x200b;&#x200b;&nbsp;<\/span><span class=\"T463\">kan Maple ogs\u00e5 bruges. Dette&#x200b;&#x200b;&nbsp;<\/span><span class=\"T464\">g\u00f8res akkurat som da&#x200b;&#x200b;&nbsp;<\/span><span class=\"T465\">man skul<\/span><span class=\"T466\">l<\/span><span class=\"T467\">e<\/span><span class=\"T468\">&#x200b;&#x200b;&nbsp;finde r. I eksemplet herunder er der efter 10 indbetalinger med renter og rentes rente opsparet 32.594,63 kr. Renten er 8% p.a. Man \u00f8nsker s\u00e5, at finde ud af, hvor meget der hvert \u00e5r skal inds\u00e6tte p\u00e5 opsparingen(y).&#x200b;&#x200b;&nbsp;<\/span><\/p><p class=\"P469\"><span class=\"T470\"><span><img src=\"data:image\/png;base64,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\" style=\"z-index: 100;width: 8.64583in;height: 0.83333in;width: 8.64583in;display: inline;\" title=\"\" alt=\"C:\\Users\\Frederik\\AppData\\Local\\Temp\\msohtmlclip1\\02\\clip_image027.png\"\/><\/span><\/span><\/p><p class=\"P471\"><span>Og som det ses, s\u00e5 bliver resultatet 2.249,99 kr.<\/span>&#x200b;&#x200b;&nbsp;<\/p><p class=\"P472\"><span>Man kan dog i stedet for at bruge Maple, hvis dette ikke er tilg\u00e6ngeligt, benytte sig af formlen:<\/span>&#x200b;&#x200b;&nbsp;<span>\u00a0<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"P473\"><span class=\"T474\">y = A<\/span><span class=\"T475\">n<\/span><span class=\"T476\">&#x200b;&#x200b;&nbsp;*&#x200b;&#x200b;&nbsp;<\/span><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mfrac><mml:mrow><mml:mi mathvariant=\"bold-italic\">r<\/mml:mi><\/mml:mrow><mml:mrow><mml:msup><mml:mrow><mml:mfenced separators=\"|\"><mml:mrow><mml:mn>1<\/mml:mn><mml:mo>+<\/mml:mo><mml:mi mathvariant=\"bold-italic\">r<\/mml:mi><\/mml:mrow><\/mml:mfenced><\/mml:mrow><mml:mrow><mml:mi mathvariant=\"bold-italic\">n<\/mml:mi><\/mml:mrow><\/mml:msup><mml:mo>-<\/mml:mo><mml:mn>1<\/mml:mn><mml:mi mathvariant=\"bold-italic\">\u00a0<\/mml:mi><\/mml:mrow><\/mml:mfrac><mml:mi mathvariant=\"bold-italic\">\u00a0<\/mml:mi><\/mml:math><\/span><\/span><\/p><p class=\"P477\"><span class=\"T478\">Ved denne formel inds\u00e6ttes de tre v\u00e6rdier man kender, A<\/span><span class=\"T479\">n<\/span><span class=\"T480\">, r og n, og man kan s\u00e5 beregne y. V\u00e6lger man at bruge v\u00e6rdierne fra det ovenst\u00e5ende eksempel,&#x200b;&#x200b;&nbsp;<\/span><span class=\"T481\">g\u00f8res det s\u00e5ledes:<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"P482\"><span class=\"T483\">y = 32.594,63 kr.<\/span><span class=\"T484\">&#x200b;&#x200b;&nbsp;*&#x200b;&#x200b;&nbsp;<\/span><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mfrac><mml:mrow><mml:mn>0,08<\/mml:mn><\/mml:mrow><mml:mrow><mml:msup><mml:mrow><mml:mfenced separators=\"|\"><mml:mrow><mml:mn>1<\/mml:mn><mml:mo>+<\/mml:mo><mml:mn>0,08<\/mml:mn><\/mml:mrow><\/mml:mfenced><\/mml:mrow><mml:mrow><mml:mn>10<\/mml:mn><\/mml:mrow><\/mml:msup><mml:mo>-<\/mml:mo><mml:mn>1<\/mml:mn><mml:mi>\u00a0<\/mml:mi><\/mml:mrow><\/mml:mfrac><mml:mi>\u00a0<\/mml:mi><\/mml:math><\/span><\/span><span class=\"T485\">= 2249,99 kr.<\/span><\/p><p class=\"P486\">&nbsp;<\/p><h2 class=\"P487\"><span id=\"_Toc386647977\"\/><span>At finde n i opsparingsformlen<\/span><\/h2><p class=\"P488\"><span>Og s\u00e5 kan det selvf\u00f8lgelig ogs\u00e5 ske, at n er den v\u00e6rdi man ikke kender.<\/span>&#x200b;&#x200b;&nbsp;<span>Er dette tilf\u00e6ldet, benyttes formlen:<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"Normal\"><span class=\"T489\">n<\/span><span class=\"T490\">&#x200b;&#x200b;&nbsp;=&#x200b;&#x200b;&nbsp;<\/span><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mfrac><mml:mrow><mml:mi mathvariant=\"bold-italic\">l<\/mml:mi><mml:mi mathvariant=\"bold-italic\">n<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mn>1<\/mml:mn><mml:mo>+<\/mml:mo><mml:msub><mml:mrow><mml:mi mathvariant=\"bold-italic\">A<\/mml:mi><\/mml:mrow><mml:mrow><mml:mi mathvariant=\"bold-italic\">n<\/mml:mi><\/mml:mrow><\/mml:msub><mml:mi mathvariant=\"bold-italic\">*<\/mml:mi><mml:mfrac><mml:mrow><mml:mi mathvariant=\"bold-italic\">r<\/mml:mi><\/mml:mrow><mml:mrow><mml:mi mathvariant=\"bold-italic\">y<\/mml:mi><\/mml:mrow><\/mml:mfrac><\/mml:mrow><\/mml:mfenced><\/mml:mrow><mml:mrow><mml:mi mathvariant=\"bold-italic\">l<\/mml:mi><mml:mi mathvariant=\"bold-italic\">n<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mn>1<\/mml:mn><mml:mo>+<\/mml:mo><mml:mi mathvariant=\"bold-italic\">r<\/mml:mi><\/mml:mrow><\/mml:mfenced><\/mml:mrow><\/mml:mfrac><\/mml:math><\/span><\/span><\/p><p class=\"P491\"><span>Et eksempel p\u00e5 brugen af denne kunne v\u00e6re, at en studerende har opsparet 33.543 kr. Her har han hver termin indbetalt 1.500, og har f\u00e5et en rente p\u00e5 3%. Vil man s\u00e5 vide hvor mange terminer han har indbetalt penge, g\u00f8res dette s\u00e5ledes:<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"Normal\"><span class=\"T492\">n =&#x200b;&#x200b;&nbsp;<\/span><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mfrac><mml:mrow><mml:mrow><mml:mrow><mml:mi mathvariant=\"normal\">ln<\/mml:mi><\/mml:mrow><mml:mo>\u2061<\/mml:mo><mml:mrow><mml:mfenced separators=\"|\"><mml:mrow><mml:mn>1<\/mml:mn><mml:mo>+<\/mml:mo><mml:mn>33.543<\/mml:mn><mml:mi>*<\/mml:mi><mml:mfrac><mml:mrow><mml:mn>0,03<\/mml:mn><\/mml:mrow><mml:mrow><mml:mn>1500<\/mml:mn><\/mml:mrow><\/mml:mfrac><\/mml:mrow><\/mml:mfenced><\/mml:mrow><\/mml:mrow><\/mml:mrow><mml:mrow><mml:mrow><mml:mrow><mml:mi mathvariant=\"normal\">ln<\/mml:mi><\/mml:mrow><mml:mo>\u2061<\/mml:mo><mml:mrow><mml:mfenced separators=\"|\"><mml:mrow><mml:mn>1<\/mml:mn><mml:mo>+<\/mml:mo><mml:mn>0,03<\/mml:mn><\/mml:mrow><\/mml:mfenced><\/mml:mrow><\/mml:mrow><\/mml:mrow><\/mml:mfrac><\/mml:math><\/span><\/span><span class=\"T493\">&#x200b;&#x200b;&nbsp;= 17,37 terminer.<\/span><\/p><p class=\"P494\">&nbsp;<\/p><h2 class=\"P495\"><span id=\"_Toc386647978\"\/><span>G\u00e6ldsformel<\/span><span>\u00a0<\/span><\/h2><p class=\"P496\"><span>Skal man finde nutidsv\u00e6rdien af en annuitet, dvs. v\u00e6rdien af fx et l\u00e5n, benyttes g\u00e6ldsformlen. Det betyder, at st\u00e5r du og skal ud og l\u00e5ne til hus, bil, b\u00e5d eller lignende,<\/span>&#x200b;&#x200b;&nbsp;<span>kan du ved hj\u00e6lp af g\u00e6ldsformlen beregne hvor meget du har r\u00e5d til at l\u00e5ne. Det kr\u00e6ver dog vel og m\u00e6rket, at du ved hvor meget du har r\u00e5d til at tilbagebetale p\u00e5 l\u00e5net hver m\u00e5ned, halv\u00e5r eller lignende, samt ved hvor meget du skal betale i rente p\u00e5 l\u00e5net, og over hvor lang tid du vil tilbagebetale det.<\/span><\/p><p class=\"P497\"><span>I formlen, som ses herunder, er y s\u00e5 det bel\u00f8b der betales hver m\u00e5ned, mens r er renten, og n<\/span>&#x200b;&#x200b;&nbsp;<span>er antal terminer l\u00e5net tilbagebetales over.<\/span>&#x200b;&#x200b;&nbsp;<span>\u00a0<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"P498\"><span class=\"T499\">G\u00e6ldsformel: A<\/span><span class=\"T500\">0<\/span><span class=\"T501\">&#x200b;&#x200b;&nbsp;= y *&#x200b;&#x200b;&nbsp;<\/span><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mfrac><mml:mrow><mml:mn>1<\/mml:mn><mml:mo>-<\/mml:mo><mml:mi mathvariant=\"normal\">\u00a0<\/mml:mi><mml:msup><mml:mrow><mml:mfenced separators=\"|\"><mml:mrow><mml:mn>1<\/mml:mn><mml:mo>+<\/mml:mo><mml:mi mathvariant=\"bold-italic\">r<\/mml:mi><\/mml:mrow><\/mml:mfenced><\/mml:mrow><mml:mrow><mml:mo>-<\/mml:mo><mml:mi mathvariant=\"bold-italic\">n<\/mml:mi><\/mml:mrow><\/mml:msup><\/mml:mrow><mml:mrow><mml:mi mathvariant=\"bold-italic\">r<\/mml:mi><\/mml:mrow><\/mml:mfrac><\/mml:math><\/span><\/span><span class=\"T502\">&#x200b;&#x200b;&nbsp;<\/span><\/p><p class=\"P503\"><span>Et eksempel p\u00e5 brugen af denne formel kunne v\u00e6re, at en familie skal l\u00e5ne penge til en bil.<\/span>&#x200b;&#x200b;&nbsp;<span>De har r\u00e5d til at tilbage 9.000 pr. halv\u00e5r i 10 \u00e5r, og renten p\u00e5 l\u00e5net er 4% pr. halv\u00e5r.<\/span>&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;<span>\u00a0<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"P504\"><span class=\"T505\">A<\/span><span class=\"T506\">0<\/span><span class=\"T507\">&#x200b;&#x200b;&nbsp;= 9.000*&#x200b;&#x200b;&nbsp;<\/span><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mfrac><mml:mrow><mml:mn>1<\/mml:mn><mml:mo>-<\/mml:mo><mml:msup><mml:mrow><mml:mfenced separators=\"|\"><mml:mrow><mml:mn>1<\/mml:mn><mml:mo>+<\/mml:mo><mml:mn>0,04<\/mml:mn><\/mml:mrow><\/mml:mfenced><\/mml:mrow><mml:mrow><mml:mo>-<\/mml:mo><mml:mn>20<\/mml:mn><\/mml:mrow><\/mml:msup><\/mml:mrow><mml:mrow><mml:mn>0,04<\/mml:mn><\/mml:mrow><\/mml:mfrac><\/mml:math><\/span><\/span><span class=\"T508\">&#x200b;&#x200b;&nbsp;= 122.312,94 kr.<\/span><\/p><p class=\"P509\"><span>Det vil s\u00e5 sige, at de har r\u00e5d til at l\u00e5ne 122.312,94 kr.<\/span>&#x200b;&#x200b;&nbsp;<\/p><p class=\"P510\"><span class=\"T511\">Det der ligger bag denne formel er, at man for hvert termin siger y<\/span><span class=\"T512\">*(1+r)<\/span><span class=\"T513\">-n<\/span><span class=\"T514\">. Derfor kunne man i stedet sige:&#x200b;&#x200b;&nbsp;<\/span><span class=\"T515\">9.000*(1+0,04)<\/span><span class=\"T516\">-1&#x200b;&#x200b;&nbsp;<\/span><span class=\"T517\">+ 9.000*(1+0,04)<\/span><span class=\"T518\">-2<\/span><span class=\"T519\">&#x200b;&#x200b;&nbsp;+ 9.000*(1+0,04)<\/span><span class=\"T520\">-3&#x200b;&#x200b;&nbsp;<\/span><span class=\"T521\">+ 9.000*(1+0,04)<\/span><span class=\"T522\">-4&#x200b;&#x200b;&nbsp;<\/span><span class=\"T523\">\u2026\u2026\u2026\u2026\u2026. + 9.000*(1+0,04)<\/span><span class=\"T524\">-20<\/span><span class=\"T525\">, og det ville s\u00e5 give det samme.<\/span><span class=\"T526\">&#x200b;&#x200b;&nbsp;Dette er illustreret i nedenst\u00e5ende figur,&#x200b;&#x200b;&nbsp;<\/span><\/p><p class=\"P527\"><span class=\"T528\"><span><img 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\" style=\"z-index: 100;width: 5.54759in;height: 1.98968in;width: 5.54759in;display: inline;\" title=\"\" alt=\"\"\/><\/span><\/span><\/p><p class=\"P529\"><span>St\u00e5r du i den situation, at du optager et l\u00e5n, hvor du i en periode betaler et bel\u00f8b, fx 2.500<\/span>&#x200b;&#x200b;&nbsp;<span>kr.<\/span>&#x200b;&#x200b;&nbsp;<span>hvert halve \u00e5r i 3 \u00e5r, hvorefter du de n\u00e6ste tre \u00e5r betaler 3.000<\/span>&#x200b;&#x200b;&nbsp;<span>kr.<\/span>&#x200b;&#x200b;&nbsp;<span>hvert halve \u00e5r, beregnes den samlede g\u00e6ld s\u00e5ledes.<\/span>&#x200b;&#x200b;&nbsp;<\/p><p class=\"P530\"><span>V\u00e6rdien af ydelserne p\u00e5 3.000 kr. opgjort p\u00e5 tidspunkt 6 beregnes:<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"P531\"><span class=\"T532\">A<\/span><span class=\"T533\">6<\/span><span class=\"T534\">&#x200b;&#x200b;&nbsp;= 3.000 *&#x200b;&#x200b;&nbsp;<\/span><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mfrac><mml:mrow><mml:mn>1<\/mml:mn><mml:mo>-<\/mml:mo><mml:msup><mml:mrow><mml:mfenced separators=\"|\"><mml:mrow><mml:mn>1<\/mml:mn><mml:mo>+<\/mml:mo><mml:mn>0,025<\/mml:mn><\/mml:mrow><\/mml:mfenced><\/mml:mrow><mml:mrow><mml:mo>-<\/mml:mo><mml:mn>6<\/mml:mn><\/mml:mrow><\/mml:msup><\/mml:mrow><mml:mrow><mml:mn>0,025<\/mml:mn><\/mml:mrow><\/mml:mfrac><\/mml:math><\/span><\/span><span class=\"T535\">&#x200b;&#x200b;&nbsp;= 16.524,38 kr.<\/span><\/p><p class=\"P536\"><span>V\u00e6rdien af ydelserne p\u00e5 3.000 kr. p\u00e5 tidspunkt 0 beregnes:<\/span><\/p><p class=\"P537\"><span class=\"T538\">K<\/span><span class=\"T539\">0<\/span><span class=\"T540\">&#x200b;&#x200b;&nbsp;= 16.524,38 * (1+0,025)<\/span><span class=\"T541\">-6<\/span><span class=\"T542\">&#x200b;&#x200b;&nbsp;= 14.248,92 kr.<\/span><\/p><p class=\"P543\"><span>V\u00e6rdien af ydelserne p\u00e5 2.500 opgjort p\u00e5 tidspunkt 0 beregnes:<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"P544\"><span class=\"T545\">A<\/span><span class=\"T546\">6<\/span><span class=\"T547\">&#x200b;&#x200b;&nbsp;= 2.500 *&#x200b;&#x200b;&nbsp;<\/span><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mfrac><mml:mrow><mml:mn>1<\/mml:mn><mml:mo>-<\/mml:mo><mml:msup><mml:mrow><mml:mfenced separators=\"|\"><mml:mrow><mml:mn>1<\/mml:mn><mml:mo>+<\/mml:mo><mml:mn>0,025<\/mml:mn><\/mml:mrow><\/mml:mfenced><\/mml:mrow><mml:mrow><mml:mo>-<\/mml:mo><mml:mn>6<\/mml:mn><\/mml:mrow><\/mml:msup><\/mml:mrow><mml:mrow><mml:mn>0,025<\/mml:mn><\/mml:mrow><\/mml:mfrac><\/mml:math><\/span><\/span><span class=\"T548\">&#x200b;&#x200b;&nbsp;= 13.770,31 kr.<\/span><\/p><p class=\"P549\"><span>L\u00e5nets samlede st\u00f8rrelse bliver s\u00e5:<\/span><\/p><p class=\"P550\"><span>14.248,92 + 13.770,31 = 28.019,23 kr.<\/span><\/p><p class=\"P551\">&nbsp;<\/p><h2 class=\"P552\"><span id=\"_Toc386647979\"\/><span>Bestemmelse af n i g\u00e6ldsformlen:<\/span><\/h2><p class=\"P553\"><span>Som ved opsparingsformlen kan man naturligvis ogs\u00e5 opsparingsformlen, hvis man kender 3 ud af 4 v\u00e6rdier, beregne den fjerde. Og akkurat som i opsparingsformlen, kan man b\u00e5de beregne det ved hj\u00e6lp af Maple, og ved hj\u00e6lp af en formel. Er det n som er den ubekendte, kan denne findes ved at s\u00e6tte de allerede kendte v\u00e6rdier ind i formlen:<\/span>&#x200b;&#x200b;&nbsp;<\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"Normal\"><span class=\"T554\">n =&#x200b;&#x200b;&nbsp;<\/span><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mfrac><mml:mrow><mml:mo>-<\/mml:mo><mml:mrow><mml:mrow><mml:mi mathvariant=\"bold\">ln<\/mml:mi><\/mml:mrow><mml:mo>\u2061<\/mml:mo><mml:mrow><mml:mfenced separators=\"|\"><mml:mrow><mml:mo>-<\/mml:mo><mml:mi mathvariant=\"bold-italic\">r<\/mml:mi><mml:mi mathvariant=\"normal\">*<\/mml:mi><mml:mfrac><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant=\"bold-italic\">A<\/mml:mi><\/mml:mrow><mml:mrow><mml:mn>0<\/mml:mn><\/mml:mrow><\/mml:msub><\/mml:mrow><mml:mrow><mml:mi mathvariant=\"bold-italic\">y<\/mml:mi><\/mml:mrow><\/mml:mfrac><mml:mo>+<\/mml:mo><mml:mn>1<\/mml:mn><\/mml:mrow><\/mml:mfenced><\/mml:mrow><\/mml:mrow><\/mml:mrow><mml:mrow><mml:mi mathvariant=\"bold\">l<\/mml:mi><mml:mi mathvariant=\"bold\">n<\/mml:mi><mml:mo>\u2061<\/mml:mo><mml:mo>(<\/mml:mo><mml:mn>1<\/mml:mn><mml:mo>+<\/mml:mo><mml:mi mathvariant=\"bold-italic\">r<\/mml:mi><mml:mo>)<\/mml:mo><\/mml:mrow><\/mml:mfrac><\/mml:math><\/span><\/span><\/p><p class=\"Normal\"><span class=\"T555\">Et eksempel p\u00e5 brugen af denne kunne v\u00e6re, at vi har en A<\/span><span class=\"T556\">0<\/span><span class=\"T557\">&#x200b;&#x200b;&nbsp;p\u00e5 28.000 kr., en y der hedder 1.000kr., og en rente p\u00e5 1%. n findes s\u00e5 s\u00e5ledes:<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"Normal\"><span class=\"T558\">n =&#x200b;&#x200b;&nbsp;<\/span><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mfrac><mml:mrow><mml:mo>-<\/mml:mo><mml:mrow><mml:mrow><mml:mi mathvariant=\"normal\">ln<\/mml:mi><\/mml:mrow><mml:mo>\u2061<\/mml:mo><mml:mrow><mml:mfenced separators=\"|\"><mml:mrow><mml:mo>-<\/mml:mo><mml:mn>0,01<\/mml:mn><mml:mi>*<\/mml:mi><mml:mfrac><mml:mrow><mml:mn>28.000<\/mml:mn><\/mml:mrow><mml:mrow><mml:mn>1000<\/mml:mn><\/mml:mrow><\/mml:mfrac><mml:mo>+<\/mml:mo><mml:mn>1<\/mml:mn><\/mml:mrow><\/mml:mfenced><\/mml:mrow><\/mml:mrow><\/mml:mrow><mml:mrow><mml:mi mathvariant=\"normal\">l<\/mml:mi><mml:mi mathvariant=\"normal\">n<\/mml:mi><mml:mo>\u2061<\/mml:mo><mml:mo>(<\/mml:mo><mml:mn>1<\/mml:mn><mml:mo>+<\/mml:mo><mml:mn>0,01<\/mml:mn><mml:mo>)<\/mml:mo><\/mml:mrow><\/mml:mfrac><\/mml:math><\/span><\/span><span class=\"T559\">&#x200b;&#x200b;&nbsp;= 33,01&#x200b;&#x200b;&nbsp;<\/span><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mo>\u2248<\/mml:mo><mml:mn>34<\/mml:mn><mml:mi>\u00a0<\/mml:mi><mml:mi mathvariant=\"normal\">y<\/mml:mi><mml:mi mathvariant=\"normal\">d<\/mml:mi><mml:mi mathvariant=\"normal\">e<\/mml:mi><mml:mi mathvariant=\"normal\">l<\/mml:mi><mml:mi mathvariant=\"normal\">s<\/mml:mi><mml:mi mathvariant=\"normal\">e<\/mml:mi><mml:mi mathvariant=\"normal\">r<\/mml:mi><\/mml:math><\/span><\/span><\/p><p class=\"Normal\"><span class=\"T560\">Og skal dette g\u00f8res i Maple, g\u00f8res det akkurat som da vi fandt n i opsparingsformlen, bortset fra, at vi her, naturligvis benytter g\u00e6ldsformlen&#x200b;&#x200b;&nbsp;<\/span><span class=\"T561\">i stedet&#x200b;&#x200b;&nbsp;<\/span><span class=\"T562\">ville det se ud som i eksemplet herunder.<\/span><span class=\"T563\"><span><img src=\"data:image\/tmp;base64,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\" style=\"z-index: 100;width: 10.115in;height: 1.23in;width: 10.115in;display: inline;\" title=\"\" alt=\"\"\/><\/span><\/span><\/p><h2 class=\"P564\"><span id=\"_Toc386647980\"\/><span>Bestemmelse af y i g\u00e6ldsformlen<\/span><\/h2><p class=\"P565\"><span>Man kan naturligvis ogs\u00e5 finde y. Dette kan igen g\u00f8res ved hj\u00e6lp af Maple, eller ved at brugen formlen for ydelsen:<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"Normal\"><span class=\"T566\">y = A<\/span><span class=\"T567\">0<\/span><span class=\"T568\">&#x200b;&#x200b;&nbsp;*&#x200b;&#x200b;&nbsp;<\/span><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mfrac><mml:mrow><mml:mi mathvariant=\"bold-italic\">r<\/mml:mi><\/mml:mrow><mml:mrow><mml:mn>1<\/mml:mn><mml:mo>-<\/mml:mo><mml:msup><mml:mrow><mml:mfenced separators=\"|\"><mml:mrow><mml:mn>1<\/mml:mn><mml:mo>+<\/mml:mo><mml:mi mathvariant=\"bold-italic\">r<\/mml:mi><\/mml:mrow><\/mml:mfenced><\/mml:mrow><mml:mrow><mml:mo>-<\/mml:mo><mml:mi mathvariant=\"bold-italic\">n<\/mml:mi><\/mml:mrow><\/mml:msup><\/mml:mrow><\/mml:mfrac><\/mml:math><\/span><\/span><\/p><p class=\"P569\"><span>Et eksempel p\u00e5 brugen af denne formel kunne v\u00e6re, at en familie \u00f8nsker at l\u00e5ne<\/span>&#x200b;&#x200b;&nbsp;<span>50.000 til en b\u00e5d.<\/span>&#x200b;&#x200b;&nbsp;<span>De har s\u00e5 fundet et l\u00e5n hvor de skal betale 4% i rente p.a. Og de \u00f8nsker at tilbagebetale l\u00e5net over 10 \u00e5r. Skal man s\u00e5 beregne hvor meget de skal tilbagebetale pr. \u00e5r, g\u00f8res dette s\u00e5ledes:<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"Normal\"><span class=\"T570\">y = 50.000 *&#x200b;&#x200b;&nbsp;<\/span><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mfrac><mml:mrow><mml:mn>0,04<\/mml:mn><\/mml:mrow><mml:mrow><mml:mn>1<\/mml:mn><mml:mo>-<\/mml:mo><mml:msup><mml:mrow><mml:mfenced separators=\"|\"><mml:mrow><mml:mn>1<\/mml:mn><mml:mo>+<\/mml:mo><mml:mn>0,04<\/mml:mn><\/mml:mrow><\/mml:mfenced><\/mml:mrow><mml:mrow><mml:mo>-<\/mml:mo><mml:mn>10<\/mml:mn><\/mml:mrow><\/mml:msup><\/mml:mrow><\/mml:mfrac><\/mml:math><\/span><\/span><span class=\"T571\">&#x200b;&#x200b;&nbsp;= 6.164,55 kr.<\/span><\/p><p class=\"P572\">&nbsp;<\/p><h2 class=\"P573\"><span id=\"_Toc386647981\"\/><span>Beregning af restg\u00e6ld<\/span><\/h2><p class=\"Normal\"><span class=\"T574\">Resteg\u00e6lden er, som det fremg\u00e5r af ordet, det bel\u00f8b der er tilbage af g\u00e6lden, umiddelbart efter, at ydelsen p\u00e5 det p\u00e5g\u00e6ldende tidspunkt er betalt.&#x200b;&#x200b;&nbsp;<\/span><span class=\"T575\">Det vil sige, at det er forskellen p\u00e5 det bel\u00f8b man har l\u00e5nt, og det bel\u00f8b man har tilbagebetalt.&#x200b;&#x200b;&nbsp;<\/span><span class=\"T576\">Dette er illustreret i figuren herunder:&#x200b;&#x200b;&nbsp;<\/span><\/p><p class=\"Normal\"><span class=\"T577\"><span><img 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\" style=\"z-index: 100;width: 6.75in;height: 1.98986in;width: 6.75in;display: inline;\" title=\"\" alt=\"Computergenereret alternativ tekst: A&#10;R&#10;I I&#10;o &#xEE;&#xEF;&#xEE; iv Ty&#10;(i+r)t_i&#10;Fremskrivnings- Opsparings&#10;formien formien\"\/><\/span><\/span><\/p><p class=\"P578\"><span>Restg\u00e6lden beregnes med formlen:<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"Normal\"><span class=\"T579\">R<\/span><span class=\"T580\">t<\/span><span class=\"T581\">&#x200b;&#x200b;&nbsp;= A<\/span><span class=\"T582\">0<\/span><span class=\"T583\">&#x200b;&#x200b;&nbsp;* (1+r)<\/span><span class=\"T584\">t<\/span><span class=\"T585\">&#x200b;&#x200b;&nbsp;- y *&#x200b;&#x200b;&nbsp;<\/span><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mfrac><mml:mrow><mml:msup><mml:mrow><mml:mfenced separators=\"|\"><mml:mrow><mml:mn>1<\/mml:mn><mml:mo>+<\/mml:mo><mml:mi mathvariant=\"bold-italic\">r<\/mml:mi><\/mml:mrow><\/mml:mfenced><\/mml:mrow><mml:mrow><mml:mi mathvariant=\"bold-italic\">t<\/mml:mi><\/mml:mrow><\/mml:msup><mml:mo>-<\/mml:mo><mml:mn>1<\/mml:mn><\/mml:mrow><mml:mrow><mml:mi mathvariant=\"bold-italic\">r<\/mml:mi><\/mml:mrow><\/mml:mfrac><\/mml:math><\/span><\/span><span class=\"T586\">&#x200b;&#x200b;&nbsp;<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"Normal\"><span class=\"T587\">Denne er en sammens\u00e6tning af fremskrivningsformlen:<\/span><span class=\"T588\">&#x200b;&#x200b;&nbsp;<\/span><span class=\"T589\">A<\/span><span class=\"T590\">0<\/span><span class=\"T591\">&#x200b;&#x200b;&nbsp;* (1+r)<\/span><span class=\"T592\">t<\/span><span class=\"T593\">&#x200b;&#x200b;&nbsp;og opsparingsformlen:&#x200b;&#x200b;&nbsp;<\/span><span class=\"T594\">y *&#x200b;&#x200b;&nbsp;<\/span><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mfrac><mml:mrow><mml:msup><mml:mrow><mml:mfenced separators=\"|\"><mml:mrow><mml:mn>1<\/mml:mn><mml:mo>+<\/mml:mo><mml:mi>r<\/mml:mi><\/mml:mrow><\/mml:mfenced><\/mml:mrow><mml:mrow><mml:mi>t<\/mml:mi><\/mml:mrow><\/mml:msup><mml:mo>-<\/mml:mo><mml:mn>1<\/mml:mn><\/mml:mrow><mml:mrow><mml:mi>r<\/mml:mi><\/mml:mrow><\/mml:mfrac><\/mml:math><\/span><\/span><span class=\"T595\">.<\/span><\/p><p class=\"Normal\"><span class=\"T596\">Et eksempel p\u00e5 brugen af denne formel kunne v\u00e6re, at man har l\u00e5nt 100.000 kr. til en rente p\u00e5 2%. Af disse tilbagebetaler man s\u00e5 4.000 kr. pr. termin. \u00d8nsker man s\u00e5 at vide hvor meget der er tilbage af g\u00e6lden efter 12 terminer, g\u00f8res dette s\u00e5ledes:<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"Normal\"><span class=\"T597\">R<\/span><span class=\"T598\">12<\/span><span class=\"T599\">&#x200b;&#x200b;&nbsp;= 100.000*(1+0,02)<\/span><span class=\"T600\">12<\/span><span class=\"T601\">&#x200b;&#x200b;&nbsp;- 4000*<\/span><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mfrac><mml:mrow><mml:mo>(<\/mml:mo><mml:mn>1<\/mml:mn><mml:mo>+<\/mml:mo><mml:msup><mml:mrow><mml:mn>0,02<\/mml:mn><mml:mo>)<\/mml:mo><\/mml:mrow><mml:mrow><mml:mn>12<\/mml:mn><\/mml:mrow><\/mml:msup><mml:mo>-<\/mml:mo><mml:mn>1<\/mml:mn><\/mml:mrow><mml:mrow><mml:mn>0,02<\/mml:mn><\/mml:mrow><\/mml:mfrac><\/mml:math><\/span><\/span><span class=\"T602\">&#x200b;&#x200b;&nbsp;= 73.175,82<\/span><\/p><h2 class=\"P603\"><span id=\"_Toc386647982\"\/><span>L\u00e5netyper<\/span><\/h2><p class=\"P604\"><span>N\u00e5r man taler om l\u00e5n er der naturligvis en lang r\u00e6kke forskellige l\u00e5n, som man skal forholde sig til. Jeg kommer her med eksempler p\u00e5 tre forskellige l\u00e5n.<\/span><\/p><h3 class=\"P605\"><span id=\"_Toc386647983\"\/><span>1.<\/span>&#x200b;&#x200b;&nbsp;<span>Annuitetsl\u00e5n<\/span><\/h3><p class=\"P606\"><span class=\"T607\">Annuitetsl\u00e5n er et af de mest almindelige l\u00e5netyper.&#x200b;&#x200b;&nbsp;<\/span><span class=\"T608\">Det specielle ved et annuitetsl\u00e5n er, at ydelsen er konstant, hvilket vil sige, at den er lige stor i alle terminer.&#x200b;&#x200b;&nbsp;<\/span><span class=\"T609\">En af grundene til at dette l\u00e5n er s\u00e5 benyttet er, at renterne ved dette l\u00e5n er st\u00f8rst i starten, og da ydelsen(som er renter + afdrag) er konstant, bliver afdraget&#x200b;&#x200b;&nbsp;<\/span><span class=\"T610\">dermed&#x200b;&#x200b;&nbsp;<\/span><span class=\"T611\">st\u00f8rre og st\u00f8rre.<\/span><span class=\"T612\">&#x200b;&#x200b;&nbsp;Og eftersom at skat betaler en hvis del af dine renter, da der er rentefradrag, er man naturligvis interesseret i at have s\u00e5 h\u00f8je renter som muligt i starten, hvor g\u00e6lden er st\u00f8rst, mens man er interesseret i s\u00e5 lavt et afdrag som muligt, da der ikke er fradrag p\u00e5 afdrag.&#x200b;&#x200b;&nbsp;<\/span><span class=\"T613\">Dette er illustreret i figuren herunder. &#x200b;&#x200b;&nbsp;<\/span><\/p><p class=\"Normal\"><span class=\"T614\">\u00a0<\/span><span class=\"T615\"><span><img 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style=\"z-index: 100;width: 3.43752in;height: 2.13392in;width: 3.43752in;display: inline;\" title=\"\" alt=\"Computergenereret alternativ tekst: Ydelse= renter+ afdrag&#10;Renter&#10;Tid&#10;Kr.\"\/><\/span><\/span><\/p><h3 class=\"P616\"><span id=\"_Toc386647984\"\/><span>2.<\/span>&#x200b;&#x200b;&nbsp;<span>Seriel\u00e5n<\/span><\/h3><p class=\"P617\"><span>Ved seriel\u00e5n er det<\/span>&#x200b;&#x200b;&nbsp;<span>afdraget<\/span>&#x200b;&#x200b;&nbsp;<span>der er<\/span>&#x200b;&#x200b;&nbsp;<span>konstant. Dette er ligeledes illustreret herunder.<\/span>&#x200b;&#x200b;&nbsp;<\/p><p class=\"P618\"><span class=\"T619\"><span><img src=\"data:image\/png;base64,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\" style=\"z-index: 100;width: 3.56025in;height: 2.28176in;width: 3.56025in;display: inline;\" title=\"\" alt=\"Computergenereret alternativ tekst: Kr.&#10;Ydelse = renterf afdrag&#10;Afdrag&#10;&gt;Tid\"\/><\/span><\/span><\/p><p class=\"P620\"><span>I starten bliver en mindre del af ydelsen renter, dvs. ydelsen efter skat bliver st\u00f8rre.<\/span><\/p><p class=\"P621\"><span>\u00a0<\/span><\/p><h3 class=\"P622\"><span id=\"_Toc386647985\"\/><span>3.<\/span>&#x200b;&#x200b;&nbsp;<span>St\u00e5ende l\u00e5n<\/span><\/h3><p class=\"P623\"><span>Ved denne l\u00e5netype er renten<\/span>&#x200b;&#x200b;&nbsp;<span>konstant. Illustreret herunder.<\/span>&#x200b;&#x200b;&nbsp;<\/p><p class=\"P624\"><span>\u00a0<\/span><\/p><p class=\"P625\"><span class=\"T626\"><span><img 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\" style=\"z-index: 100;width: 3.04202in;height: 2.42572in;width: 3.04202in;display: inline;\" title=\"\" alt=\"Computergenereret alternativ tekst: Ydelse&#10;Renter&#10;Tid&#10;Indfrielsestidspunkt&#10;Kr.&#10;Afdrag= hovedstol\"\/><\/span><\/span><\/p><h2 class=\"P627\"><span id=\"_Toc386647986\"\/><span>Amortisationsplan<\/span><\/h2><p class=\"P628\"><span>En amortisationsplan er en plan for afviklingen af et l\u00e5n. Det vil sige at du i en amortisationsplan kan se hvor meget og hvorn\u00e5r du skal betale.<\/span>&#x200b;&#x200b;&nbsp;<span>Amortisationsplaner kan laves i Excel, som illustreret herunder, hvor amortisationsplanen er lavet for et annuitetsl\u00e5n.<\/span>&#x200b;&#x200b;&nbsp;<span>Dette ses jo som sagt ved, at ydelsen er konstant, mens<\/span>&#x200b;&#x200b;&nbsp;<span>renten falder, og afdraget stiger.<\/span>&#x200b;&#x200b;&nbsp;<\/p><p class=\"P629\"><span class=\"T630\"><span><img 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\" style=\"z-index: 100;width: 6.61458in;height: 3.15625in;width: 6.61458in;display: inline;\" title=\"\" alt=\"Computergenereret alternativ tekst: Eksempel p&#xE5; amortisationsplan&#10;Hovedstol 10000&#10;Terminsrente 0,1&#10;Antal ydelser 6&#10;Ydelse kr. -2.296,07&#10;Termin&#10;Primorestg&#xE6;ld&#10;Ydelse&#10;Renter&#10;Afdrag&#10;Ultimorestg&#xE6;ld&#10;i&#10;10000&#10;kr. 2. 296,07&#10;1000&#10;kr. 1.296,07&#10;kr. 8.703,93&#10;2&#10;kr. 8.703,93&#10;kr. 2.296,07&#10;870,3926&#10;kr. 1.425,68&#10;kr. 7.278,25&#10;3&#10;kr. 7.278,25&#10;kr. 2.296,07&#10;727,8245&#10;kr. 1.568,25&#10;kr. 5.710,00&#10;4&#10;kr. 5.710,00&#10;kr. 2.296,07&#10;570,9996&#10;kr. 1.725,07&#10;kr. 3.984,92&#10;5&#10;kr. 3.984,92&#10;kr. 2.296,07&#10;398,4921&#10;kr. 1.897,58&#10;kr. 2.087,34&#10;6&#10;kr. 2.087,34&#10;kr. 2.296,07&#10;208,734&#10;kr. 2.027,34&#10;kr. 0,00\"\/><\/span><\/span><\/p><p class=\"P631\"><span>\u00a0<\/span><\/p><p class=\"P632\"><span>\u00a0<\/span><\/p><p class=\"P633\">&nbsp;<\/p><p class=\"P634\">&nbsp;<\/p><p class=\"P635\">&nbsp;<\/p><p class=\"P636\">&nbsp;<\/p><p class=\"P637\">&nbsp;<\/p><h1 class=\"P638\"><span id=\"_Toc386647987\"\/><span>Opgaver<\/span>&emsp;<\/h1><p class=\"P639\"><span>Ved hj\u00e6lp af teorien jeg nu har gennemg\u00e5et, vil jeg l\u00f8se opgaverne fra opgavebeskrivelsen, som omhandler b\u00e5de rentes- og annuitetsregning.<\/span>&#x200b;&#x200b;&nbsp;<\/p><p class=\"P640\">&nbsp;<\/p><p class=\"P641\"><span>Fra en rig onkel i Amerika arver Klaus pludselig kr. 1.000.000,-<\/span><\/p><p class=\"P642\"><span>Da der kun er 10 \u00e5r til han skal pensioneres, v\u00e6lger han, at bruge pengene til en pensions-opsparing. Efter et m\u00f8de med bankr\u00e5dgiveren st\u00e5r Klaus overfor 3 valgmuligheder i forbindelse med opsparing til pensioneringen.<\/span><\/p><ul class=\"LFO14\" style=\"counter-reset: ulLFO14_1 0;\"><li style=\"color: initial; font-family: initial;hyphenate: false;hyphenate: false;font-weight: bold;font-size: 12pt;mleft: 0.5in !important;text-align: justify !important;\"><p style=\"display: table-cell;margin-left:0 !important;text-indent: 0 !important;\" class=\"P643\"><span>Vis ved beregninger hvilket alternativ Klaus skal v\u00e6lge til sin pensionsopsparing<\/span><\/p><\/li><\/ul><p class=\"P644\">&nbsp;<\/p><ul class=\"LFO13\" style=\"counter-reset: ulLFO13_1 0;\"><li style=\"color: initial; font-family: initial;hyphenate: false;hyphenate: false;font-style: italic;font-size: 12pt;mleft: 0.5in !important;text-align: justify !important;\"><p style=\"display: table-cell;margin-left:0 !important;text-indent: 0 !important;\" class=\"P645\"><span>Investering i aktier hvor han de f\u00f8rste 2 \u00e5r kan f\u00e5 en forrentning p\u00e5 3,5 % p.a., de n\u00e6ste 5 \u00e5r en forrentning p\u00e5 14 % p.a. og de sidste 3 \u00e5r et tab p\u00e5 4 % p.a.<\/span><\/p><\/li><\/ul><p class=\"P646\"><span>Efter de f\u00f8rste 2 \u00e5r:<\/span><\/p><p class=\"P647\"><span class=\"T648\">K<\/span><span class=\"T649\">0<\/span><span class=\"T650\">&#x200b;&#x200b;&nbsp;= 1.000.000<\/span><\/p><p class=\"P651\"><span>N = 2<\/span><\/p><p class=\"P652\"><span>r = 3,5%<\/span><\/p><p class=\"P653\">&nbsp;<\/p><p class=\"P654\"><span class=\"T655\">K<\/span><span class=\"T656\">n<\/span><span class=\"T657\">&#x200b;&#x200b;&nbsp;= 1.000.000 * (1+0,035)<\/span><span class=\"T658\">2<\/span><span class=\"T659\">&#x200b;&#x200b;&nbsp;=&#x200b;&#x200b;&nbsp;<\/span><span class=\"T660\">1.071.225 kr.<\/span><\/p><p class=\"P661\">&nbsp;<\/p><p class=\"P662\"><span>Efter de n\u00e6ste 5 \u00e5r:<\/span><\/p><p class=\"P663\"><span class=\"T664\">K<\/span><span class=\"T665\">0<\/span><span class=\"T666\">&#x200b;&#x200b;&nbsp;= 1.000.000<\/span><\/p><p class=\"P667\"><span>N = 5<\/span><\/p><p class=\"P668\"><span>r = 14%<\/span><\/p><p class=\"P669\">&nbsp;<\/p><p class=\"P670\"><span class=\"T671\">K<\/span><span class=\"T672\">n<\/span><span class=\"T673\">&#x200b;&#x200b;&nbsp;= 1.071.225 * (1+0,14)<\/span><span class=\"T674\">5<\/span><span class=\"T675\">&#x200b;&#x200b;&nbsp;=&#x200b;&#x200b;&nbsp;<\/span><span class=\"T676\">2.062.552,23 kr.<\/span><\/p><p class=\"P677\">&nbsp;<\/p><p class=\"P678\"><span>Efter de sidste 3 \u00e5r:<\/span><\/p><p class=\"P679\"><span class=\"T680\">K<\/span><span class=\"T681\">0<\/span><span class=\"T682\">&#x200b;&#x200b;&nbsp;= 1.000.000<\/span><\/p><p class=\"P683\"><span>N = 3<\/span><\/p><p class=\"P684\"><span>r = 4%<\/span><\/p><p class=\"P685\">&nbsp;<\/p><p class=\"P686\"><span class=\"T687\">K<\/span><span class=\"T688\">n<\/span><span class=\"T689\">&#x200b;&#x200b;&nbsp;= 2.062.552,23 * (1-0,04)<\/span><span class=\"T690\">3<\/span><span class=\"T691\">&#x200b;&#x200b;&nbsp;=&#x200b;&#x200b;&nbsp;<\/span><span class=\"T692\">1.824.814,22 kr.<\/span><\/p><p class=\"P693\">&nbsp;<\/p><ul class=\"LFO13\" style=\"counter-reset: ulLFO13_1 1;\"><li style=\"color: initial; font-family: initial;hyphenate: false;hyphenate: false;font-style: italic;font-size: 12pt;mleft: 0.5in !important;text-align: justify !important;\"><p style=\"display: table-cell;margin-left:0 !important;text-indent: 0 !important;\" class=\"P694\"><span>Investering i obligationer hvor han kan regne med en \u00e5rlig rente p\u00e5 5,50 %<\/span><\/p><\/li><\/ul><p class=\"P695\"><span class=\"T696\">K<\/span><span class=\"T697\">0<\/span><span class=\"T698\">&#x200b;&#x200b;&nbsp;= 1.000.000<\/span><\/p><p class=\"P699\"><span>N = 10<\/span><\/p><p class=\"P700\"><span>r = 5,5%<\/span><\/p><p class=\"P701\">&nbsp;<\/p><p class=\"P702\"><span class=\"T703\">K<\/span><span class=\"T704\">n<\/span><span class=\"T705\">&#x200b;&#x200b;&nbsp;= 1.000.000 * (1+0,055)<\/span><span class=\"T706\">10<\/span><span class=\"T707\">&#x200b;&#x200b;&nbsp;=&#x200b;&#x200b;&nbsp;<\/span><span class=\"T708\">1.708.144,46 kr.<\/span><\/p><p class=\"P709\">&nbsp;<\/p><ul class=\"LFO13\" style=\"counter-reset: ulLFO13_1 2;\"><li style=\"color: initial; font-family: initial;hyphenate: false;hyphenate: false;font-style: italic;font-size: 12pt;mleft: 0.5in !important;text-align: justify !important;\"><p style=\"display: table-cell;margin-left:0 !important;text-indent: 0 !important;\" class=\"P710\"><span>Placere pengene p\u00e5 en indl\u00e5nskonto i banken til 3,60 % p. a.<\/span><\/p><\/li><\/ul><p class=\"P711\"><span class=\"T712\">K<\/span><span class=\"T713\">0<\/span><span class=\"T714\">&#x200b;&#x200b;&nbsp;= 1.000.000<\/span><\/p><p class=\"P715\"><span>N = 10<\/span><\/p><p class=\"P716\"><span>r = 3,6%<\/span><\/p><p class=\"P717\">&nbsp;<\/p><p class=\"P718\"><span class=\"T719\">K<\/span><span class=\"T720\">n<\/span><span class=\"T721\">&#x200b;&#x200b;&nbsp;= 1.000.000 * (1+0,036)<\/span><span class=\"T722\">10<\/span><span class=\"T723\">&#x200b;&#x200b;&nbsp;=&#x200b;&#x200b;&nbsp;<\/span><span class=\"T724\">1.424.287,14 kr.<\/span><\/p><p class=\"P725\">&nbsp;<\/p><p class=\"P726\"><span>Ud fra mine ovenst\u00e5ende beregninger, vil Klaus f\u00e5 mest ud af at v\u00e6lge alternativ 1, og dermed investere sine penge i aktier. Dog b\u00f8r han vel overveje usikkerheden der er i det, og om han derfor i stedet burde investere dem i obligationer, som er mere sikre, men hvor han dog if\u00f8lge valgmulighederne, vil tjene ca. 100.000 mindre.<\/span><\/p><p class=\"P727\">&nbsp;<\/p><p class=\"P728\"><span>Udover arven fra Amerika vil Klaus ogs\u00e5 indbetale et m\u00e5nedligt bel\u00f8b p\u00e5 kr. 800 kr., i de n\u00e6ste 10 \u00e5r (i alt 120 indbetalinger). Renten er 0,4 % pr. m\u00e5ned.<\/span><\/p><ul class=\"LFO14\" style=\"counter-reset: ulLFO14_1 1;\"><li style=\"color: initial; font-family: initial;hyphenate: false;hyphenate: false;font-weight: bold;font-size: 12pt;mleft: 0.5in !important;text-align: justify !important;\"><p style=\"display: table-cell;margin-left:0 !important;text-indent: 0 !important;\" class=\"P729\"><span>Hvor meget st\u00e5r der i alt p\u00e5 Klaus\u2019 konto efter 10 \u00e5r?<\/span><\/p><\/li><\/ul><p class=\"P730\">&nbsp;<\/p><p class=\"P731\"><span class=\"T732\">Konto 1:&#x200b;&#x200b;&nbsp;<\/span><span class=\"T733\">1.824.814,22 kr.<\/span><\/p><p class=\"P734\">&nbsp;<\/p><p class=\"P735\"><span>Konto 2:<\/span><\/p><p class=\"P736\"><span>y = 800 kr.<\/span><\/p><p class=\"P737\"><span>r = 0,4% pr. m\u00e5ned<\/span><\/p><p class=\"P738\"><span>n = 120 <\/span>&#x200b;&#x200b;&nbsp;<\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"P739\"><span class=\"T740\">A<\/span><span class=\"T741\">N&#x200b;&#x200b;&nbsp;<\/span><span class=\"T742\">= 800 *&#x200b;&#x200b;&nbsp;<\/span><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mfrac><mml:mrow><mml:msup><mml:mrow><mml:mfenced separators=\"|\"><mml:mrow><mml:mn>1<\/mml:mn><mml:mo>+<\/mml:mo><mml:mn>0,004<\/mml:mn><\/mml:mrow><\/mml:mfenced><\/mml:mrow><mml:mrow><mml:mn>120<\/mml:mn><mml:mi mathvariant=\"normal\">\u00a0<\/mml:mi><\/mml:mrow><\/mml:msup><mml:mo>-<\/mml:mo><mml:mn>1<\/mml:mn><\/mml:mrow><mml:mrow><mml:mn>0,004<\/mml:mn><\/mml:mrow><\/mml:mfrac><\/mml:math><\/span><\/span><span class=\"T743\">&#x200b;&#x200b;&nbsp;=&#x200b;&#x200b;&nbsp;<\/span><span class=\"T744\">122.905,57 kr.&#x200b;&#x200b;&nbsp;<\/span><\/p><p class=\"P745\">&nbsp;<\/p><p class=\"P746\"><span class=\"T747\">I al<\/span><span class=\"T748\">t<\/span><span class=\"T749\">&#x200b;&#x200b;&nbsp;er Klaus opsparing p\u00e5<\/span><span class=\"T750\">:&#x200b;&#x200b;&nbsp;<\/span><span class=\"T751\">1.824.814,22 +&#x200b;&#x200b;&nbsp;<\/span><span class=\"T752\">122.905,57 =&#x200b;&#x200b;&nbsp;<\/span><span class=\"T753\">1.947.719,79 kr.&#x200b;&#x200b;&nbsp;<\/span><\/p><p class=\"P754\">&nbsp;<\/p><p class=\"P755\"><span>Klaus v\u00e6lger at g\u00e5 p\u00e5 pension som 60 \u00e5rig og \u00f8nsker nu pensionsopsparingen udbetalt over 7 lige store \u00e5rlige ydelser hvor 1. ydelse falder p\u00e5 hans 61 \u00e5rs f\u00f8dselsdag. Renten p\u00e5 pensionskontoen er 5 % p.a.<\/span><\/p><ul class=\"LFO14\" style=\"counter-reset: ulLFO14_1 2;\"><li style=\"color: initial; font-family: initial;hyphenate: false;hyphenate: false;font-weight: bold;font-size: 12pt;mleft: 0.5in !important;text-align: justify !important;\"><p style=\"display: table-cell;margin-left:0 !important;text-indent: 0 !important;\" class=\"P756\"><span>Hvor meget kan Klaus f\u00e5 udbetalt pr. \u00e5r de n\u00e6ste 7 gange?<\/span><\/p><\/li><\/ul><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"P757\"><span class=\"T758\">y = 1.947.719,79 *&#x200b;&#x200b;&nbsp;<\/span><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mfrac><mml:mrow><mml:mn>0,05<\/mml:mn><\/mml:mrow><mml:mrow><mml:mn>1<\/mml:mn><mml:mo>-<\/mml:mo><mml:msup><mml:mrow><mml:mfenced separators=\"|\"><mml:mrow><mml:mn>1<\/mml:mn><mml:mo>+<\/mml:mo><mml:mn>0,05<\/mml:mn><\/mml:mrow><\/mml:mfenced><\/mml:mrow><mml:mrow><mml:mo>-<\/mml:mo><mml:mn>7<\/mml:mn><\/mml:mrow><\/mml:msup><\/mml:mrow><\/mml:mfrac><\/mml:math><\/span><\/span><span class=\"T759\">&#x200b;&#x200b;&nbsp;=&#x200b;&#x200b;&nbsp;<\/span><span class=\"T760\">336.604,58<\/span><span class=\"T761\">&#x200b;&#x200b;&nbsp;kr.<\/span><\/p><p class=\"P762\">&nbsp;<\/p><p class=\"P763\"><span class=\"T764\">Det vil sige, at han hvert \u00e5r de n\u00e6ste 7 \u00e5r,&#x200b;&#x200b;&nbsp;<\/span><span class=\"T765\">kan f\u00e5 udbetalt&#x200b;&#x200b;&nbsp;<\/span><span class=\"T766\">336.604,58 kr.&#x200b;&#x200b;&nbsp;<\/span><\/p><p class=\"P767\">&nbsp;<\/p><p class=\"P768\">&nbsp;<\/p><p class=\"P769\"><span>P\u00e5 Klaus\u2019 65 \u00e5rs f\u00f8dselsdag beslutter han sig for at k\u00f8be en helt ny bil. Pengene skal komme fra det, der er tilbage p\u00e5 pensionsopsparingen umiddelbart efter, at han har modtaget den 5. ydelse.<\/span><\/p><ul class=\"LFO14\" style=\"counter-reset: ulLFO14_1 3;\"><li style=\"color: initial; font-family: initial;hyphenate: false;hyphenate: false;font-weight: bold;font-size: 12pt;mleft: 0.5in !important;text-align: justify !important;\"><p style=\"display: table-cell;margin-left:0 !important;text-indent: 0 !important;\" class=\"P770\">&#x200b;&#x200b;&nbsp;<span id=\"_Toc386572459\"\/><span id=\"_Toc386647988\"\/><span>Hvor mange penge har Klaus til at k\u00f8be en ny bil for?<\/span><\/p><\/li><\/ul><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"P771\"><span id=\"_Toc386572460\"\/><span id=\"_Toc386647989\"\/><span class=\"T772\">R<\/span><span class=\"T773\">t<\/span><span class=\"T774\">&#x200b;&#x200b;&nbsp;= 1.947.719,79 * (1+0,05)<\/span><span class=\"T775\">5<\/span><span class=\"T776\">&#x200b;&#x200b;&nbsp;- 336.604,58 *&#x200b;&#x200b;&nbsp;<\/span><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mfrac><mml:mrow><mml:msup><mml:mrow><mml:mfenced separators=\"|\"><mml:mrow><mml:mn>1<\/mml:mn><mml:mo>+<\/mml:mo><mml:mn>0,05<\/mml:mn><\/mml:mrow><\/mml:mfenced><\/mml:mrow><mml:mrow><mml:mn>5<\/mml:mn><\/mml:mrow><\/mml:msup><mml:mo>-<\/mml:mo><mml:mn>1<\/mml:mn><\/mml:mrow><mml:mrow><mml:mn>0,05<\/mml:mn><\/mml:mrow><\/mml:mfrac><\/mml:math><\/span><\/span><span class=\"T777\">&#x200b;&#x200b;&nbsp;=&#x200b;&#x200b;&nbsp;<\/span><span class=\"T778\">625.886,07 kr.<\/span><\/p><p class=\"P779\"><span id=\"_Toc386572461\"\/><span id=\"_Toc386647990\"\/><span class=\"T780\">Det vil sige, at han efter 5. ydelse, har 625.886,07 kr. at k\u00f8be bil for.<\/span><\/p><p class=\"P781\">&nbsp;<\/p><p class=\"P782\">&nbsp;<\/p><p class=\"P783\">&nbsp;<\/p><p class=\"P784\">&nbsp;<\/p><p class=\"P785\">&nbsp;<\/p><p class=\"P786\">&nbsp;<\/p><p class=\"P787\">&nbsp;<\/p><p class=\"P788\">&nbsp;<\/p><p class=\"Normal\">&nbsp;<\/p><\/div><\/section><script>(function( $ ) {\n    \/\/footnotes\n    $('.defaultNote').children(\":first\").css('cursor', 'pointer');\n    $('.defaultNote').children(\":first\").click(function(){\n        var gotoID = '#' + $(this).parent().attr('id');\n        $('html, body').animate(\n            {\n              scrollTop: $('a[href=\"' + gotoID + '\"]').offset().top - 60,\n            },\n            250,\n            'linear'\n          )\n    });\n}(jQuery));\n\n\n<\/script><script>\nvar numFormat = \",.\";\n(function( $ ) {\n    \"use strict\";\n    \/\/do some cleaning on load\n    var sortCells = $('td[data-sorting], th[data-sorting]');\n    sortCells.each(function(){\n        var first = $(this).text().trim().charAt(0);\n        if (first == '@'){\n            var oldHTML = $(this).html();\n            var newHTML = oldHTML.replace('@', '');\n            $(this).html(newHTML);\n        } \n    });\n    function sortingTable(node, pos, ordBy){\n        var rows = node.children('tbody').children('tr').get();\n\n        rows.sort(function(a, b) {\n\n        var X = $(a).children('td').eq(pos).text().toUpperCase();\n        var Y = $(b).children('td').eq(pos).text().toUpperCase();\n        \n        if (numFormat != '.,'){\n            \/\/we are dealing with a different locale and we need to do some \n            \/\/transformation in numbers\n            X = convert2number(X);\n            Y = convert2number(Y);\n        } else {\n            X = X.replace(\/,\/g, '').replace(\/ \/g, '');\n            Y = Y.replace(\/,\/g, '').replace(\/ \/g, '');\n        }\n        var currencies = ['$', '\u00a5', '\u00a3', '\u20ac'];\n        var arrayLength = currencies.length;\n        var XX = X;\n        var YY = Y;\n        for (var i = 0; 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