{"id":5922,"date":"2014-10-16T19:30:52","date_gmt":"2014-10-16T19:30:52","guid":{"rendered":"http:\/\/www.oracletutoring.ca\/blog\/?p=5922"},"modified":"2014-10-16T19:30:52","modified_gmt":"2014-10-16T19:30:52","slug":"financial-math-mortgage-payments","status":"publish","type":"post","link":"https:\/\/www.oracletutoring.ca\/blog\/financial-math-mortgage-payments\/","title":{"rendered":"Financial math:  mortgage payments"},"content":{"rendered":"<h1>The tutor notices that financial math is more prominent in high school than it was twenty years ago.\u00a0\u00a0 Probably the change is good; let&#8217;s embrace it with a first look at mortgage payments.  This topic comes up annually in tutoring.<\/h1>\n<p>Even before the advent of financial calculators, people had to calculate annuity payments, mortgage payments, etc.\u00a0 Such financial products have existed certainly since the industrial age &#8211; probably even before.<\/p>\n<p>The formula to calculate a mortgage payment isn&#8217;t that difficult to use, but probably outside the comfort zone of most consumers.\u00a0 The obvious question:\u00a0 How, in the 70s, did people calculate mortgage payments, when financial calculators &#8211; if they existed at all &#8211; were rare?<\/p>\n<p>The simple solution:\u00a0 they used mortgage tables.\u00a0 You looked up the interest rate and the term (in years) of repayment.\u00a0 The amount you&#8217;d arrive at would be the payment per thousand dollars of the loan.\u00a0 They were called mortgage tables, but you could use them for any loan.<\/p>\n<p>I&#8217;ve found a table I like the look of over at <a href=\"http:\/\/realsavvyrealestate.com\/wp-content\/uploads\/2009\/12\/Amortization-Factor-Table.jpg\"> realsavvyrealestate.com.<\/a> Let&#8217;s put it to work:<\/p>\n<p>Example:  Calculate the mortgage payment for this case:<\/p>\n<table>\n<tr>\n<td>loan<\/td>\n<td>300 000<\/td>\n<\/tr>\n<tr>\n<td>interest<\/td>\n<td>6.5%<\/td>\n<\/tr>\n<tr>\n<td>term<\/td>\n<td>25 years<\/td>\n<\/tr>\n<tr>\n<td>payment frequency<\/td>\n<td>monthly<\/td>\n<\/tr>\n<\/table>\n<p>On the table from <a href=\"http:\/\/realsavvyrealestate.com\/wp-content\/uploads\/2009\/12\/Amortization-Factor-Table.jpg\">realsavvyrealestate.com.<\/a>, we look down the left column to find 6.5%.  From there, we look across to the 25 year column.  The number we arrive at is 6.75207, which means that the payment is $6.75207 per thousand dollars of loan.  The loan amount in this case is $300 000.  Therefore, the monthly payment will be<\/p>\n<p>$6.75207&#215;300=$2025.62<\/p>\n<p>Mortgage tables enable easy loan payment calculations. Many people from an earlier generation &#8211; myself included &#8211; can&#8217;t help but prefer them even now.<\/p>\n<p>Mortgage tables, of course, can&#8217;t handle the diversity of financial situations that a dedicated calculator can. In coming posts I&#8217;ll explore the use of a financial calculator &#8211; and perhaps even the option of doing the calculations using financial formulas.<\/p>\n<p>Cheers:)<\/p>\n<p>Jack of <a href=\"https:\/\/www.oracletutoring.ca\">Oracle Tutoring by Jack and Diane,<\/a> Campbell River, BC.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The tutor notices that financial math is more prominent in high school than it was twenty years ago.\u00a0\u00a0 Probably the change is good; let&#8217;s embrace it with a first look at mortgage payments. This topic comes up annually in tutoring. &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"more-link\" href=\"https:\/\/www.oracletutoring.ca\/blog\/financial-math-mortgage-payments\/\"> <span class=\"screen-reader-text\">Financial math:  mortgage payments<\/span> Read More &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[256,259,258,257],"class_list":["post-5922","post","type-post","status-publish","format-standard","hentry","category-math","tag-calculating-mortgage-payment","tag-financial-math","tag-mortgage-payment-without-financial-calculator","tag-mortgage-table"],"_links":{"self":[{"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/posts\/5922","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/comments?post=5922"}],"version-history":[{"count":22,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/posts\/5922\/revisions"}],"predecessor-version":[{"id":5944,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/posts\/5922\/revisions\/5944"}],"wp:attachment":[{"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/media?parent=5922"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/categories?post=5922"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/tags?post=5922"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}