{"id":176,"date":"2025-05-09T15:43:14","date_gmt":"2025-05-09T12:43:14","guid":{"rendered":"http:\/\/wpcalc.com\/?p=176"},"modified":"2026-09-30T19:28:03","modified_gmt":"2026-09-30T16:28:03","slug":"cash-certificate-issue-price","status":"publish","type":"post","link":"https:\/\/wpcalc.com\/en\/finance\/cash-certificate-issue-price\/","title":{"rendered":"Cash Certificate Issue Price Estimator"},"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\">Calculate Present Value of a Cash Certificate<\/h2><\/div><div class=\"calcdash-favorite group\">\n  <button type=\"button\" class=\"favorite\" id=\"favorite\" data-favorite-id=\"176\" data-favorite-title=\"Cash Certificate Issue Price\" data-favorite-url=\"https:\/\/wpcalc.com\/en\/finance\/cash-certificate-issue-price\/\" data-favorite-excerpt=\"Estimate the issue price (present value) of a cash certificate: enter the maturity value, annual interest rate and term in years to find how much you must invest today to receive that amount at maturity.\" aria-label=\"Add to Favorites\" data-favorite-icon=\"icon icon-rate-up\">\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\/cash-certificate-issue-price\/\" method=\"POST\" class=\"calculator\" id=\"calculator-176\" data-post=\"176\"><fieldset class=\"fieldset-input is-3\"><legend class=\"sr-only\">Input Fields<\/legend><div class=\"field has-term\" id=\"input-1\"><label for=\"field-1\">Future Value of Certificate<\/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=\"future_value_of_certificate\" id=\"field-1\" aria-describedby=\"calc-unit-1 calc-info-1\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" min=\"0\" value=\"1000\"\/><div class=\"unit\" id=\"calc-unit-1\">$<\/div><small id=\"calc-info-1\">Enter the amount you will receive at maturity<\/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\">Number of 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=\"number_of_years\" id=\"field-3\" aria-describedby=\"calc-info-3\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" min=\"0\" value=\"3\"\/><small id=\"calc-info-3\">Enter the number of years until maturity<\/small><\/div><\/fieldset><div class=\"buttons\"><button type=\"submit\" data-text=\"Re-Calculate\" id=\"calculate-button\" data-post=\"176\">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>Issue Price (Present Value)<\/span><\/span><span class=\"field-value\" id=\"result-1\" data-unit=\"$\"><\/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=\"176\" 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>Cash Certificate Issue Price 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\\[ A = \\frac{P}{(1 + r)^n} \\]\n<\/div>\r\n\t<\/figure>\r\n\t<\/p>\n<p><strong>Where:<\/strong><\/p>\n<ul>\n<li>\\(A\\) \u2014 issue price, i.e. the present value of the certificate<\/li>\n<li>\\(P\\) \u2014 maturity (future) value, the amount received at the end of the term<\/li>\n<li>\\(r\\) \u2014 annual interest rate expressed as a decimal (5% = 0.05)<\/li>\n<li>\\(n\\) \u2014 number of years until maturity<\/li>\n<\/ul>\n<p>The formula discounts the maturity value back to today at the certificate's interest rate, so the issue price plus compound interest grows to exactly \\(P\\) after \\(n\\) years.<\/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>Cash Certificate Issue Price \u2013 Calculation Example<\/h2><\/div>\r\n\r\n<\/p>\n<p><strong>Example:<\/strong> a cash certificate pays $1,000 at maturity, earns 5% per year compounded annually, and matures in 3 years. What should you pay for it today?<\/p>\n<p>\\[ A = \\frac{1000}{(1 + 0.05)^3} = \\frac{1000}{1.157625} = 863.84 \\]<\/p>\n<p><strong>Result:<\/strong> the issue price is <strong>$863.84<\/strong>. Investing this amount today at 5% compounded annually grows to $1,000 in three years.<\/p>\n<p>\n\r\n<\/section>\n<h2>How to Use the Calculator<\/h2>\n<ol>\n<li>Enter the <strong>Future Value of Certificate<\/strong> \u2014 the amount you will receive at maturity (e.g. $1,000).<\/li>\n<li>Enter the <strong>Annual Interest Rate<\/strong> as a percentage (e.g. 5 for 5%).<\/li>\n<li>Enter the <strong>Number of Years<\/strong> until the certificate matures.<\/li>\n<li>Read the <strong>Issue Price (Present Value)<\/strong> \u2014 the amount you need to invest today.<\/li>\n<\/ol>\n<h2>What Is a Cash Certificate?<\/h2>\n<p>A cash certificate is a fixed-term deposit instrument, common at banks and similar in nature to a certificate of deposit (CD) or a small savings bond. You pay a lump sum upfront (the issue price) and receive a guaranteed, larger amount at maturity. The difference between the two is the interest earned over the term.<\/p>\n<p>Because the maturity value and rate are fixed in advance, the only question when issuing or buying such a certificate is what it is worth today. That worth is the present value: the amount which, when invested at the certificate's rate, compounds to exactly the maturity value. This is the same discounting principle used to price zero-coupon bonds and bills \u2014 see the <a href=\"https:\/\/wpcalc.com\/en\/finance\/bond-value\/\">Bond Present Value<\/a> calculator for coupon-bearing bonds, or the <a href=\"https:\/\/wpcalc.com\/en\/finance\/continuous-compounding-present-value\/\">Present Value with Continuous Compounding<\/a> calculator when interest accrues continuously.<\/p>\n<p>Interpreting the result is straightforward: the issue price is always less than the maturity value for any positive interest rate. A larger gap means either a higher rate or a longer term. If the calculated issue price is higher than the price actually being charged, the certificate offers a better-than-stated return; if it is lower, you are paying a premium.<\/p>\n<h2>Assumptions and Limitations<\/h2>\n<ul>\n<li><strong>Annual compounding:<\/strong> the formula assumes interest compounds once per year. If your certificate compounds quarterly or monthly, the effective yield differs \u2014 the <a href=\"https:\/\/wpcalc.com\/en\/finance\/annual-percentage-yield\/\">Annual Percentage Yield<\/a> calculator shows the difference.<\/li>\n<li><strong>Constant rate:<\/strong> the interest rate must stay fixed for the whole term. Floating-rate certificates cannot be valued this way.<\/li>\n<li><strong>No interim payments:<\/strong> the certificate must pay everything at maturity, with no coupons or partial withdrawals.<\/li>\n<li><strong>No taxes or fees:<\/strong> the result is a gross price. Tax on interest, issuance fees or early-withdrawal penalties are not included.<\/li>\n<li><strong>Whole years:<\/strong> the input is in years; for fractional terms, enter a decimal (e.g. 2.5 for 30 months).<\/li>\n<\/ul>\n<p>To work in the opposite direction \u2014 starting from what you invest today and finding the amount at maturity \u2014 use the <a href=\"https:\/\/wpcalc.com\/en\/finance\/maturity-value\/\">Maturity Value<\/a> calculator. And if you want to compare certificates or investments with different rates and terms on a common annual-growth basis, the <a href=\"https:\/\/wpcalc.com\/en\/finance\/compound-annual-growth-rate\/\">Compound Annual Growth Rate<\/a> calculator is a useful companion.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Estimate the issue price (present value) of a cash certificate: enter the maturity value, annual interest rate and term in years to find how much you must invest today to receive that amount at maturity.<\/p>\n","protected":false},"author":70,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[5],"tags":[25],"class_list":["post-176","post","type-post","status-publish","format-standard","hentry","category-finance","tag-interest"],"acf":[],"_links":{"self":[{"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/posts\/176","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=176"}],"version-history":[{"count":5,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/posts\/176\/revisions"}],"predecessor-version":[{"id":66061,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/posts\/176\/revisions\/66061"}],"wp:attachment":[{"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/media?parent=176"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/categories?post=176"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/tags?post=176"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}