{"id":200077,"date":"2025-03-13T07:26:17","date_gmt":"2025-03-13T07:26:17","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=200077"},"modified":"2025-03-13T07:26:19","modified_gmt":"2025-03-13T07:26:19","slug":"calculate-the-monthly-payments-of-a-30-year-fixed-rate-mortgage-at-5-25-percent-for-139700","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/03\/13\/calculate-the-monthly-payments-of-a-30-year-fixed-rate-mortgage-at-5-25-percent-for-139700\/","title":{"rendered":"Calculate the monthly payments of a 30-year fixed-rate mortgage at 5.25 percent for $139,700"},"content":{"rendered":"\n<p>Calculate the monthly payments of a 30-year fixed-rate mortgage at 5.25 percent for $139,700. How much interest is paid over the life of the loan? The monthly payments of a 30-year fixed-rate mortgage at 5.25% for $139,700 is<\/p>\n\n\n\n<p><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\"><strong>The correct answer and explanation is :<\/strong><\/mark><\/p>\n\n\n\n<p>To calculate the monthly payments for a 30-year fixed-rate mortgage of $139,700 at an interest rate of 5.25%, we can use the <strong>mortgage payment formula<\/strong>:<\/p>\n\n\n\n<p>[<br>M = P \\times \\frac{r(1 + r)^n}{(1 + r)^n &#8211; 1}<br>]<\/p>\n\n\n\n<p>Where:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>(M) is the monthly payment.<\/li>\n\n\n\n<li>(P) is the principal loan amount ($139,700).<\/li>\n\n\n\n<li>(r) is the monthly interest rate (annual interest rate divided by 12). For 5.25%, the monthly rate is ( \\frac{5.25}{100 \\times 12} = 0.004375 ).<\/li>\n\n\n\n<li>(n) is the total number of payments (loan term in years multiplied by 12). For a 30-year mortgage, (n = 30 \\times 12 = 360).<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Calculate the Monthly Payment<\/h3>\n\n\n\n<p>We will substitute the values into the mortgage payment formula:<\/p>\n\n\n\n<p>[<br>M = 139700 \\times \\frac{0.004375(1 + 0.004375)^{360}}{(1 + 0.004375)^{360} &#8211; 1}<br>]<\/p>\n\n\n\n<p>Now, calculating:<\/p>\n\n\n\n<p>[<br>M \\approx 139700 \\times \\frac{0.004375(5.138)}{5.138 &#8211; 1}<br>]<br>[<br>M \\approx 139700 \\times \\frac{0.0225}{4.138}<br>]<br>[<br>M \\approx 139700 \\times 0.00544<br>]<br>[<br>M \\approx 759.29<br>]<\/p>\n\n\n\n<p>So, the <strong>monthly payment<\/strong> is approximately <strong>$759.29<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 2: Calculate the Total Interest Paid Over the Life of the Loan<\/h3>\n\n\n\n<p>The total amount paid over 30 years is:<\/p>\n\n\n\n<p>[<br>\\text{Total Payments} = M \\times n = 759.29 \\times 360 \\approx 273,344.40<br>]<\/p>\n\n\n\n<p>Now, subtract the principal loan amount from the total payments to find the total interest paid:<\/p>\n\n\n\n<p>[<br>\\text{Total Interest} = \\text{Total Payments} &#8211; \\text{Principal} = 273,344.40 &#8211; 139,700 = 133,644.40<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Summary<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Monthly Payment<\/strong>: $759.29<\/li>\n\n\n\n<li><strong>Total Interest Paid Over the Life of the Loan<\/strong>: $133,644.40<\/li>\n<\/ul>\n\n\n\n<p>This means that over 30 years, you will pay $133,644.40 in interest on top of the original loan amount of $139,700.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Calculate the monthly payments of a 30-year fixed-rate mortgage at 5.25 percent for $139,700. How much interest is paid over the life of the loan? The monthly payments of a 30-year fixed-rate mortgage at 5.25% for $139,700 is The correct answer and explanation is : To calculate the monthly payments for a 30-year fixed-rate mortgage [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-200077","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/200077","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=200077"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/200077\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=200077"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=200077"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=200077"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}