{"id":1266,"date":"2021-05-20T12:45:32","date_gmt":"2021-05-20T16:45:32","guid":{"rendered":"https:\/\/pressbooks.bccampus.ca\/businessmathematics\/?post_type=chapter&#038;p=1266"},"modified":"2021-06-29T19:00:19","modified_gmt":"2021-06-29T23:00:19","slug":"videos-compound-interest","status":"web-only","type":"chapter","link":"https:\/\/pressbooks.bccampus.ca\/businessmathematics\/chapter\/videos-compound-interest\/","title":{"raw":"Videos: Compound Interest","rendered":"Videos: Compound Interest"},"content":{"raw":"<h1>What Is Compound Interest?<\/h1>\r\n[embed]https:\/\/youtu.be\/cU0e-u3G748[\/embed]\r\n<h2>No really, what is compound interest?<\/h2>\r\n[embed]https:\/\/youtu.be\/S6lunN97MV0[\/embed]\r\n<ol>\r\n \t<li>Invest $100 for one year with a nominal rate of 24%. Fill in the table if you compound\u2026<\/li>\r\n<\/ol>\r\n<table>\r\n<tbody>\r\n<tr>\r\n<td><strong>Compound\u2026<\/strong><\/td>\r\n<td><strong><em>m<\/em><\/strong><\/td>\r\n<td><strong>Nominal\u00a0 (<em>jm)<\/em><\/strong><\/td>\r\n<td><strong>Periodic (<em>i)<\/em><\/strong><\/td>\r\n<td><strong>Periods (<em>n<\/em>) in a year<\/strong><\/td>\r\n<td><strong>FV of $100 in 1 year.<\/strong><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Annually<\/td>\r\n<td><\/td>\r\n<td><\/td>\r\n<td><\/td>\r\n<td><\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Semi-annually<\/td>\r\n<td><\/td>\r\n<td><\/td>\r\n<td><\/td>\r\n<td><\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Quarterly<\/td>\r\n<td><\/td>\r\n<td><\/td>\r\n<td><\/td>\r\n<td><\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Monthly<\/td>\r\n<td><\/td>\r\n<td><\/td>\r\n<td><\/td>\r\n<td><\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n[embed]https:\/\/youtu.be\/OrGMf4Qp2S4[\/embed]\r\n<ol start=\"2\">\r\n \t<li>You acquire $5,000 and deposit the money in a mutual fund that has an average return of 9% compounded annually. How much will you have when you retire in 25 years?<\/li>\r\n<\/ol>\r\n[embed]https:\/\/youtu.be\/1bKj9Xc9bE0[\/embed]\r\n<ol start=\"3\">\r\n \t<li>You deposit $10,000 at <em>j4<\/em> = 12% for 54 months. How much money will you have?<\/li>\r\n<\/ol>\r\n[embed]https:\/\/youtu.be\/UYEcWJsW24A[\/embed]\r\n<ol start=\"4\">\r\n \t<li>You would like to save $20,000 so you can take a year off in 42 months. How much should you deposit today if money earns 4% compounded semi-annually?<\/li>\r\n<\/ol>\r\n[embed]https:\/\/youtu.be\/e0VPVjAFWLM[\/embed]\r\n<ol start=\"5\">\r\n \t<li>How much money do you need to invest to earn $1000 interest in 18 months if the interest rate is 8% compounded quarterly?<\/li>\r\n<\/ol>\r\n[embed]https:\/\/youtu.be\/b33P6YNx9uE[\/embed]\r\n<ol start=\"6\">\r\n \t<li>Macleans Magazine estimates that it will cost $130,000 for a four year university education when children born this year reach university in 18 years.<\/li>\r\n<\/ol>\r\n<p style=\"padding-left: 40px\">(a) You have $10,000 to invest today. What annual rate is required to reach $130,000?<\/p>\r\n<p style=\"padding-left: 40px\">(b) How much do you need to invest if you can only expect a rate of return of <em>j2<\/em>=12%?<\/p>\r\n<p style=\"padding-left: 40px\">(c) You deposit $12,000 and invest in bonds that pay 6% compounded semi-annually. How old will your child be when they can start university?<\/p>\r\n[embed]https:\/\/youtu.be\/SQIoaWqbw1Q[\/embed]","rendered":"<h1>What Is Compound Interest?<\/h1>\n<p><iframe loading=\"lazy\" id=\"oembed-1\" title=\"Business Math Lesson 8: Compound Interest, part 1\" width=\"500\" height=\"375\" src=\"https:\/\/www.youtube.com\/embed\/cU0e-u3G748?feature=oembed&#38;rel=0\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/p>\n<h2>No really, what is compound interest?<\/h2>\n<p><iframe loading=\"lazy\" id=\"oembed-2\" title=\"Business Math Lesson 8: Compound Interest, part 2\" width=\"500\" height=\"375\" src=\"https:\/\/www.youtube.com\/embed\/S6lunN97MV0?feature=oembed&#38;rel=0\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/p>\n<ol>\n<li>Invest $100 for one year with a nominal rate of 24%. Fill in the table if you compound\u2026<\/li>\n<\/ol>\n<table>\n<tbody>\n<tr>\n<td><strong>Compound\u2026<\/strong><\/td>\n<td><strong><em>m<\/em><\/strong><\/td>\n<td><strong>Nominal\u00a0 (<em>jm)<\/em><\/strong><\/td>\n<td><strong>Periodic (<em>i)<\/em><\/strong><\/td>\n<td><strong>Periods (<em>n<\/em>) in a year<\/strong><\/td>\n<td><strong>FV of $100 in 1 year.<\/strong><\/td>\n<\/tr>\n<tr>\n<td>Annually<\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>Semi-annually<\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>Quarterly<\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>Monthly<\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><iframe loading=\"lazy\" id=\"oembed-3\" title=\"Business Math Lesson 8: Compound Interest, part 3\" width=\"500\" height=\"375\" src=\"https:\/\/www.youtube.com\/embed\/OrGMf4Qp2S4?feature=oembed&#38;rel=0\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/p>\n<ol start=\"2\">\n<li>You acquire $5,000 and deposit the money in a mutual fund that has an average return of 9% compounded annually. How much will you have when you retire in 25 years?<\/li>\n<\/ol>\n<p><iframe loading=\"lazy\" id=\"oembed-4\" title=\"Business Math Lesson 8: Compound Interest, part 4\" width=\"500\" height=\"375\" src=\"https:\/\/www.youtube.com\/embed\/1bKj9Xc9bE0?feature=oembed&#38;rel=0\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/p>\n<ol start=\"3\">\n<li>You deposit $10,000 at <em>j4<\/em> = 12% for 54 months. How much money will you have?<\/li>\n<\/ol>\n<p><iframe loading=\"lazy\" id=\"oembed-5\" title=\"Business Math Lesson 8: Compound Interest, part 5\" width=\"500\" height=\"375\" src=\"https:\/\/www.youtube.com\/embed\/UYEcWJsW24A?feature=oembed&#38;rel=0\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/p>\n<ol start=\"4\">\n<li>You would like to save $20,000 so you can take a year off in 42 months. How much should you deposit today if money earns 4% compounded semi-annually?<\/li>\n<\/ol>\n<p><iframe loading=\"lazy\" id=\"oembed-6\" title=\"Business Math Lesson 8: Compound Interest, part 6\" width=\"500\" height=\"375\" src=\"https:\/\/www.youtube.com\/embed\/e0VPVjAFWLM?feature=oembed&#38;rel=0\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/p>\n<ol start=\"5\">\n<li>How much money do you need to invest to earn $1000 interest in 18 months if the interest rate is 8% compounded quarterly?<\/li>\n<\/ol>\n<p><iframe loading=\"lazy\" id=\"oembed-7\" title=\"Business Math Lesson 8: Compound Interest, part 7\" width=\"500\" height=\"375\" src=\"https:\/\/www.youtube.com\/embed\/b33P6YNx9uE?feature=oembed&#38;rel=0\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/p>\n<ol start=\"6\">\n<li>Macleans Magazine estimates that it will cost $130,000 for a four year university education when children born this year reach university in 18 years.<\/li>\n<\/ol>\n<p style=\"padding-left: 40px\">(a) You have $10,000 to invest today. What annual rate is required to reach $130,000?<\/p>\n<p style=\"padding-left: 40px\">(b) How much do you need to invest if you can only expect a rate of return of <em>j2<\/em>=12%?<\/p>\n<p style=\"padding-left: 40px\">(c) You deposit $12,000 and invest in bonds that pay 6% compounded semi-annually. How old will your child be when they can start university?<\/p>\n<p><iframe loading=\"lazy\" id=\"oembed-8\" title=\"Business Math Lesson 8: Compound Interest, part 8\" width=\"500\" height=\"375\" src=\"https:\/\/www.youtube.com\/embed\/SQIoaWqbw1Q?feature=oembed&#38;rel=0\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/p>\n","protected":false},"author":883,"menu_order":5,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-1266","chapter","type-chapter","status-web-only","hentry"],"part":44,"_links":{"self":[{"href":"https:\/\/pressbooks.bccampus.ca\/businessmathematics\/wp-json\/pressbooks\/v2\/chapters\/1266","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/pressbooks.bccampus.ca\/businessmathematics\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/pressbooks.bccampus.ca\/businessmathematics\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/businessmathematics\/wp-json\/wp\/v2\/users\/883"}],"version-history":[{"count":3,"href":"https:\/\/pressbooks.bccampus.ca\/businessmathematics\/wp-json\/pressbooks\/v2\/chapters\/1266\/revisions"}],"predecessor-version":[{"id":2378,"href":"https:\/\/pressbooks.bccampus.ca\/businessmathematics\/wp-json\/pressbooks\/v2\/chapters\/1266\/revisions\/2378"}],"part":[{"href":"https:\/\/pressbooks.bccampus.ca\/businessmathematics\/wp-json\/pressbooks\/v2\/parts\/44"}],"metadata":[{"href":"https:\/\/pressbooks.bccampus.ca\/businessmathematics\/wp-json\/pressbooks\/v2\/chapters\/1266\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/pressbooks.bccampus.ca\/businessmathematics\/wp-json\/wp\/v2\/media?parent=1266"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/businessmathematics\/wp-json\/pressbooks\/v2\/chapter-type?post=1266"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/businessmathematics\/wp-json\/wp\/v2\/contributor?post=1266"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/businessmathematics\/wp-json\/wp\/v2\/license?post=1266"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}