{"id":371,"date":"2014-11-28T10:14:10","date_gmt":"2014-11-28T08:14:10","guid":{"rendered":"http:\/\/wpcalc.com\/?p=371"},"modified":"2026-10-23T17:01:52","modified_gmt":"2026-10-23T14:01:52","slug":"loan-repayment","status":"publish","type":"post","link":"https:\/\/wpcalc.com\/en\/finance\/loan-repayment\/","title":{"rendered":"Loan Payoff Calculator \u2013 Pay Off a Loan Early"},"content":{"rendered":"<section class=\"not-prose calculator-box\" aria-labelledby=\"calculator-title\"><div class=\"flex items-baseline sm:items-center justify-between gap-2 sm:gap-3\"><div class=\"flex flex-col sm:flex-row sm:items-center gap-2\"><span class=\"icon icon-calculator text-primary-700! text-base! dark:text-primary-300!\" aria-hidden=\"true\"><\/span><h2 id=\"calculator-title\" class=\"text-lg font-display font-bold\">EMI and Total Loan Repayment Calculator<\/h2><\/div><div class=\"calcdash-favorite group\">\n  <button type=\"button\" class=\"favorite\" id=\"favorite\" data-favorite-id=\"371\" data-favorite-title=\"Loan Repayment\" data-favorite-url=\"https:\/\/wpcalc.com\/en\/finance\/loan-repayment\/\" data-favorite-excerpt=\"Estimate your monthly loan payment (EMI) and the total amount you will repay over the loan term. Enter the loan amount, annual interest rate, and term in years to see the results instantly.\" aria-label=\"Add to Favorites\" data-favorite-icon=\"icon icon-loan\">\n    <span class=\"icon icon-shape-star-empty\" aria-hidden=\"true\"><\/span>\n  <\/button>\n  <div class=\"calcdash-favorite__tip\" aria-hidden=\"true\">\n   <span class=\"favorite-tooltip\" id=\"favorite-tooltip\"><\/span>\n  <\/div>\n  <span class=\"sr-only\" role=\"status\" id=\"favorite-status\"><\/span>\n<\/div><\/div><form action=\"https:\/\/wpcalc.com\/en\/finance\/loan-repayment\/\" method=\"POST\" class=\"calculator\" id=\"calculator-371\" data-post=\"371\"><fieldset class=\"fieldset-input\"><legend class=\"sr-only\">Input Fields<\/legend><div class=\"field has-term\" id=\"input-1\"><label for=\"field-1\">Loan Amount (P)<\/label><div class=\"term\">P<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"text\" name=\"loan_amount_p\" id=\"field-1\" aria-describedby=\"calc-unit-1 calc-info-1\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" min=\"0\" value=\"100000\"\/><div class=\"unit\" id=\"calc-unit-1\">$<\/div><small id=\"calc-info-1\">Enter the loan principal amount<\/small><\/div><div class=\"field has-term\" id=\"input-2\"><label for=\"field-2\">Annual Interest Rate<\/label><div class=\"term\">r<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"text\" name=\"annual_interest_rate\" id=\"field-2\" aria-describedby=\"calc-unit-2 calc-info-2\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" min=\"0\" value=\"5\"\/><div class=\"unit\" id=\"calc-unit-2\">%<\/div><small id=\"calc-info-2\">Enter the annual interest rate<\/small><\/div><div class=\"field has-term\" id=\"input-3\"><label for=\"field-3\">Loan Term (Years)<\/label><div class=\"term\">n<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"text\" name=\"loan_term_years\" id=\"field-3\" aria-describedby=\"calc-unit-3 calc-info-3\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" min=\"1\" value=\"20\"\/><div class=\"unit\" id=\"calc-unit-3\">years<\/div><small id=\"calc-info-3\">Enter the loan term in years<\/small><\/div><div class=\"field\" id=\"input-4\"><label for=\"field-4\">Extra monthly payment<\/label><input type=\"text\" name=\"extra_monthly_payment\" id=\"field-4\" aria-describedby=\"calc-unit-4 calc-info-4\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" min=\"0\" value=\"200\"\/><div class=\"unit\" id=\"calc-unit-4\">$<\/div><small id=\"calc-info-4\">Added to every monthly payment; 0 for none<\/small><\/div><div class=\"field\" id=\"input-5\"><label for=\"field-5\">One-time extra payment<\/label><input type=\"text\" name=\"onetime_extra_payment\" id=\"field-5\" aria-describedby=\"calc-unit-5 calc-info-5\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" min=\"0\" value=\"0\"\/><div class=\"unit\" id=\"calc-unit-5\">$<\/div><small id=\"calc-info-5\">A lump sum, e.g. a bonus or tax refund<\/small><\/div><div class=\"field\" id=\"input-6\"><label for=\"field-6\">Paid in month number<\/label><input type=\"text\" name=\"paid_in_month_number\" id=\"field-6\" aria-describedby=\"calc-info-6\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" min=\"1\" value=\"12\"\/><small id=\"calc-info-6\">Payment number of the lump sum (1 = first payment)<\/small><\/div><div class=\"field\" id=\"input-7\"><label for=\"field-7\">First payment date<\/label><input type=\"date\" name=\"first_payment_date\" id=\"field-7\" aria-describedby=\"calc-info-7\" step=\"any\" value=\"2026-11-13\"\/><small id=\"calc-info-7\">Optional: to show payoff dates<\/small><\/div><\/fieldset><div class=\"buttons\"><button type=\"submit\" data-text=\"Re-Calculate\" id=\"calculate-button\" data-post=\"371\">Calculate<\/button><button type=\"reset\">Reset<\/button><\/div><div class=\"field is-checkbox hidden!\" id=\"field-auto-calc\"><input type=\"checkbox\" id=\"auto-calc\"><label for=\"auto-calc\">Calculate automatically<\/label><small>If enabled, the result will update automatically when you change any value.<\/small><\/div><div class=\"fieldset-result is-hidden\" aria-labelledby=\"result-title\" aria-live=\"polite\" role=\"region\"> <h3 class=\"result-title bg-gradient-to-r from-primary-50 to-gray-50 dark:from-primary-900 dark:to-gray-800\" id=\"result-title\"><span class=\"icon icon-s-pulse\" aria-hidden=\"true\"><\/span> Your Results<\/h3><div class=\"result-box\"><div class=\"field-result\" id=\"output-1\"><span class=\"field-title\"><span>Monthly Payment (EMI)<\/span><\/span><span class=\"field-value\" id=\"result-1\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Copy Result\" aria-label=\"Copy Result\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><div class=\"field-result\" id=\"output-2\"><span class=\"field-title\"><span>Total Loan Repayment<\/span><\/span><span class=\"field-value\" id=\"result-2\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Copy Result\" aria-label=\"Copy Result\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><div class=\"field-result\" id=\"output-3\"><span class=\"field-title\"><span>New payoff date with extra payments<\/span><\/span><span class=\"field-value\" id=\"result-3\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Copy Result\" aria-label=\"Copy Result\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><div class=\"field-result\" id=\"output-4\"><span class=\"field-title\"><span>Time saved<\/span><\/span><span class=\"field-value\" id=\"result-4\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Copy Result\" aria-label=\"Copy Result\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><div class=\"field-result\" id=\"output-5\"><span class=\"field-title\"><span>Interest saved<\/span><\/span><span class=\"field-value\" id=\"result-5\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Copy Result\" aria-label=\"Copy Result\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><div class=\"field-result is-column\" id=\"output-6\"><span class=\"field-title\"><span>Original loan vs. extra payments<\/span><\/span><span class=\"field-value\" id=\"result-6\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Copy Result\" aria-label=\"Copy Result\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><div class=\"field-result is-column\" id=\"output-7\"><span class=\"field-title\"><span>Remaining balance<\/span><\/span><span class=\"field-value\" id=\"result-7\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Copy Result\" aria-label=\"Copy Result\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><div class=\"field-result is-column\" id=\"output-8\"><span class=\"field-title\"><span>Amortization schedule<\/span><\/span><span class=\"field-value\" id=\"result-8\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Copy Result\" aria-label=\"Copy Result\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><\/div><div class=\"result-actions\"><button type=\"button\" class=\"copy-link\"><svg viewBox=\"0 0 20 20\" fill=\"currentColor\" aria-hidden=\"true\"><path d=\"M12.232 4.232a2.5 2.5 0 0 1 3.536 3.536l-1.225 1.224a.75.75 0 0 0 1.061 1.06l1.224-1.224a4 4 0 0 0-5.656-5.656l-3 3a4 4 0 0 0 .225 5.865.75.75 0 0 0 .977-1.138 2.5 2.5 0 0 1-.142-3.667l3-3Z\"\/><path d=\"M11.603 7.963a.75.75 0 0 0-.977 1.138 2.5 2.5 0 0 1 .142 3.667l-3 3a2.5 2.5 0 0 1-3.536-3.536l1.225-1.224a.75.75 0 0 0-1.061-1.06l-1.224 1.224a4 4 0 1 0 5.656 5.656l3-3a4 4 0 0 0-.225-5.865Z\"\/><\/svg><span class=\"copy-link__text\">Copy link to this calculation<\/span><\/button><span class=\"sr-only\" role=\"status\" id=\"copy-link-status\"><\/span><\/div><\/div><a href=\"#respond\" class=\"hidden transition-opacity duration-300 opacity-0 w-50 text-sm justify-center items-center gap-2 px-4 py-2 rounded bg-gray-200 text-gray-700 hover:bg-gray-300\" id=\"leave-comment\"><span class=\"icon icon-comments\" aria-hidden=\"true\"><\/span>Leave a Comment<\/a><\/form><\/section><section id=\"calc-reactions\" class=\"not-prose hidden my-12 bg-gradient-to-r from-primary-50 to-gray-50 border border-indigo-100 rounded-xl px-6 py-4 shadow-sm\" data-post=\"371\" aria-live=\"polite\" aria-labelledby=\"calc-reactions-title\"><p id=\"calc-reactions-title\" class=\"text-sm text-gray-500 text-center mb-2\">How did this result make you feel?<\/p><div role=\"group\" aria-labelledby=\"calc-reactions-title\" class=\"grid grid-cols-3 sm:flex sm:flex-row sm:justify-around gap-4 sm:items-center sm:flex-wrap\"><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"like\"><span class=\"reaction-count\" data-reaction-count=\"like\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\ude00 <\/span><span class=\"reaction-description font-medium\">Like <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"helpful\"><span class=\"reaction-count\" data-reaction-count=\"helpful\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\udca1 <\/span><span class=\"reaction-description font-medium\">Helpful <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"confused\"><span class=\"reaction-count\" data-reaction-count=\"confused\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\ude15 <\/span><span class=\"reaction-description font-medium\">Confused <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"disappointed\"><span class=\"reaction-count\" data-reaction-count=\"disappointed\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\ude1e <\/span><span class=\"reaction-description font-medium\">Disappointed <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"inaccurate\"><span class=\"reaction-count\" data-reaction-count=\"inaccurate\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\u274c <\/span><span class=\"reaction-description font-medium\">Inaccurate <\/span><\/button><\/div><div id=\"reaction-message\" class=\"hidden mt-8 rounded-md border border-primary-100 bg-white\/50 backdrop-blur-sm px-4 py-2 text-sm text-center shadow-sm\"><\/div><\/section><div class=\"calcdash-ad not-prose calcdash-ad--calc_result calcdash-ad--in-article\"><ins class=\"adsbygoogle\" style=\"display:block\" data-ad-client=\"ca-pub-1721569815777345\" data-ad-slot=\"6317458308\" data-ad-layout=\"in-article\" data-ad-format=\"fluid\"><\/ins><script>(adsbygoogle = window.adsbygoogle || []).push({});<\/script><\/div>\n<style id=\"wpcoderpro-inline-1\">.formula-box {\r\n\tborder-bottom: none !important;\r\n}<\/style><section class=\"formula-box\" aria-labelledby=\"formula-title\">\r\n\t<div id=\"formula-title\" class=\"not-prose font-display mb-4\"><span class=\"icon icon-formula\" aria-hidden=\"true\"><\/span><h2>Loan Repayment Formula<\/h2><\/div>\r\n\t<figure class=\"not-prose formula\">\r\n\t\t<figcaption class=\"formula-title\">Formula<\/figcaption>\r\n\t\t<div class=\"text-base text-gray-800\" id=\"formula\">\n\\[ EMI = \\frac{P \\times r \\times (1+r)^n}{(1+r)^n - 1} \\\\\\ \\text{Total Repayment} = EMI \\times n \\]\n<\/div>\r\n\t<\/figure>\r\n\t<\/p>\n<p><strong>Where:<\/strong><\/p>\n<ul>\n<li>\\(P\\) \u2014 loan principal, the amount borrowed<\/li>\n<li>\\(r\\) \u2014 monthly interest rate (annual rate divided by 12)<\/li>\n<li>\\(n\\) \u2014 total number of monthly payments (years \u00d7 12)<\/li>\n<li>\\(EMI\\) \u2014 equated monthly installment, the fixed monthly payment<\/li>\n<\/ul>\n<p>The first formula gives the fixed monthly payment that fully repays the loan (principal plus interest) over the term. The second multiplies that payment by the number of months to give the total amount you will pay back.<\/p>\n<p>\r\n<\/section>\n<style id=\"wpcoderpro-inline-459\">.calculation-box {\r\n\tborder-bottom: none !important;\r\n}<\/style><section id=\"calculation\" class=\"calculation-box\" aria-labelledby=\"calculation-title\">\r\n\t<div id=\"calculation-title\" class=\"not-prose font-display\"><span class=\"icon icon-unordered-list\" aria-hidden=\"true\"><\/span><h2>Loan Repayment \u2013 Calculation Example<\/h2><\/div>\r\n\r\n<\/p>\n<p><strong>Example:<\/strong> you borrow $100,000 at an annual interest rate of 5% for a term of 20 years.<\/p>\n<p>\\[ r = \\frac{5\\%}{12} = 0.0041667, \\quad n = 20 \\times 12 = 240 \\text{ months} \\]<\/p>\n<p>\\[ EMI = \\frac{100000 \\times 0.0041667 \\times (1.0041667)^{240}}{(1.0041667)^{240} - 1} \\approx 659.96 \\]<\/p>\n<p>\\[ \\text{Total Repayment} = 659.96 \\times 240 \\approx 158{,}390 \\]<\/p>\n<p><strong>Result:<\/strong> the monthly payment is about $659.96, and the total repaid over 20 years is about $158,390 \u2014 meaning roughly $58,390 in interest.<\/p>\n<p>\n\r\n<\/section>\n<h2>How to Use the Loan Repayment Calculator<\/h2>\n<ol>\n<li>Enter the <strong>Loan Amount (P)<\/strong> \u2014 the total principal you plan to borrow, in dollars.<\/li>\n<li>Enter the <strong>Annual Interest Rate<\/strong> as a percentage (for example, enter 5 for 5%, not 0.05).<\/li>\n<li>Enter the <strong>Loan Term (Years)<\/strong> \u2014 the full length of the loan in whole years.<\/li>\n<li>Read the results: the <strong>Monthly Payment (EMI)<\/strong> is your fixed installment, and the <strong>Total Loan Repayment<\/strong> is everything you will pay over the entire term.<\/li>\n<\/ol>\n<h2>What Is Loan Repayment and EMI?<\/h2>\n<p>Most installment loans \u2014 mortgages, auto loans, personal loans, and student loans \u2014 are repaid through <em>equated monthly installments<\/em> (EMI). Each installment is the same amount every month, but its composition changes over time: early payments are mostly interest, while later payments are mostly principal. This structure is called an <strong>amortizing loan<\/strong>.<\/p>\n<p>The EMI formula balances two forces. Interest accrues each month on the outstanding balance, while your payment reduces that balance. Because the balance shrinks with every payment, the interest portion shrinks too, and a growing share of the same installment goes toward paying down the principal until the balance reaches exactly zero in month \\(n\\).<\/p>\n<p>Comparing the <strong>Total Loan Repayment<\/strong> with the original loan amount shows the true cost of borrowing. In the example above, a $100,000 loan at 5% for 20 years costs about $58,390 in interest. A shorter term or a lower rate reduces this cost dramatically \u2014 which is why it pays to shop around and to consider extra principal payments.<\/p>\n<p>For loan-specific scenarios, you may also find our <a href=\"https:\/\/wpcalc.com\/en\/finance\/mortgage-calculator\/\">Mortgage Calculator<\/a>, <a href=\"https:\/\/wpcalc.com\/en\/finance\/auto-loan-calculator\/\">Auto Loan Calculator<\/a>, and general <a href=\"https:\/\/wpcalc.com\/en\/finance\/loan-calculator\/\">Loan Calculator<\/a> useful, and the <a href=\"https:\/\/wpcalc.com\/en\/finance\/mortgage-payment\/\">Mortgage Payment Calculator<\/a> breaks down a home loan payment in more detail.<\/p>\n<h2>Assumptions and Limitations<\/h2>\n<ul>\n<li><strong>Fixed rate only.<\/strong> The calculator assumes the interest rate stays constant for the whole term. Variable-rate loans (ARMs) will produce different results as the rate changes.<\/li>\n<li><strong>No fees included.<\/strong> Origination fees, closing costs, insurance, and taxes are not part of the calculation. For mortgages, these can add significantly to the true monthly cost \u2014 see the <a href=\"https:\/\/wpcalc.com\/en\/finance\/mortgage-apr\/\">Mortgage APR Calculator<\/a> for a rate that reflects fees.<\/li>\n<li><strong>No extra payments.<\/strong> The result assumes exactly one payment per month with nothing extra. Additional principal payments shorten the term and reduce total interest.<\/li>\n<li><strong>Rounding.<\/strong> Real lenders round payments to the cent, so the final payment may differ slightly from the calculated schedule.<\/li>\n<li><strong>Zero-rate edge case.<\/strong> If the interest rate is 0%, the monthly payment is simply \\(P \/ n\\) \u2014 the principal divided evenly across all months.<\/li>\n<\/ul>\n<h2>Practical Tips<\/h2>\n<ul>\n<li><strong>Shorter term, less interest.<\/strong> Run the same loan at 15 years instead of 20: the monthly payment rises, but total interest drops sharply.<\/li>\n<li><strong>Small rate changes matter.<\/strong> Try 4.5% versus 5% on a large principal \u2014 even half a percentage point can save thousands over the term.<\/li>\n<li><strong>Check affordability both ways.<\/strong> Use the monthly payment to test whether the loan fits your budget, and use the total repayment to compare offers on overall cost.<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Estimate your monthly loan payment (EMI) and the total amount you will repay over the loan term. Enter the loan amount, annual interest rate, and term in years to see the results instantly.<\/p>\n","protected":false},"author":70,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[5],"tags":[30],"class_list":["post-371","post","type-post","status-publish","format-standard","hentry","category-finance","tag-mortgage"],"acf":[],"_links":{"self":[{"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/posts\/371","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/users\/70"}],"replies":[{"embeddable":true,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/comments?post=371"}],"version-history":[{"count":4,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/posts\/371\/revisions"}],"predecessor-version":[{"id":67502,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/posts\/371\/revisions\/67502"}],"wp:attachment":[{"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/media?parent=371"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/categories?post=371"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/tags?post=371"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}