{"id":3600,"date":"2022-09-17T17:34:12","date_gmt":"2022-09-17T22:34:12","guid":{"rendered":"https:\/\/www.northshoretrust.com\/?p=3600"},"modified":"2023-11-06T09:16:17","modified_gmt":"2023-11-06T15:16:17","slug":"la-regla-del-72","status":"publish","type":"post","link":"https:\/\/www.northshoretrust.com\/es\/2022\/09\/17\/the-rule-of-72\/","title":{"rendered":"La regla del 72"},"content":{"rendered":"<p><div class=\"fusion-fullwidth fullwidth-box fusion-builder-row-1 fusion-flex-container nonhundred-percent-fullwidth non-hundred-percent-height-scrolling\" style=\"--awb-border-radius-top-left:0px;--awb-border-radius-top-right:0px;--awb-border-radius-bottom-right:0px;--awb-border-radius-bottom-left:0px;--awb-flex-wrap:wrap;\" ><div class=\"fusion-builder-row fusion-row fusion-flex-align-items-flex-start fusion-flex-content-wrap\" style=\"max-width:93.6%;margin-left: calc(-4% \/ 2 );margin-right: calc(-4% \/ 2 );\"><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-0 fusion_builder_column_1_1 1_1 fusion-flex-column\" style=\"--awb-bg-size:cover;--awb-width-large:100%;--awb-margin-top-large:0px;--awb-spacing-right-large:1.92%;--awb-margin-bottom-large:20px;--awb-spacing-left-large:1.92%;--awb-width-medium:100%;--awb-order-medium:0;--awb-spacing-right-medium:1.92%;--awb-spacing-left-medium:1.92%;--awb-width-small:100%;--awb-order-small:0;--awb-spacing-right-small:1.92%;--awb-spacing-left-small:1.92%;\"><div class=\"fusion-column-wrapper fusion-column-has-shadow fusion-flex-justify-content-flex-start fusion-content-layout-column\"><\/div><\/div><\/div><\/div><div class=\"fusion-fullwidth fullwidth-box fusion-builder-row-2 nonhundred-percent-fullwidth non-hundred-percent-height-scrolling\" style=\"--awb-border-radius-top-left:0px;--awb-border-radius-top-right:0px;--awb-border-radius-bottom-right:0px;--awb-border-radius-bottom-left:0px;--awb-margin-top:5px;--awb-flex-wrap:wrap;\" ><div class=\"fusion-builder-row fusion-row\"><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-1 fusion_builder_column_1_1 1_1 fusion-one-full fusion-column-first fusion-column-last\" style=\"--awb-bg-size:cover;--awb-margin-bottom:0px;\"><div class=\"fusion-column-wrapper fusion-flex-column-wrapper-legacy\"><div class=\"fusion-title title fusion-title-1 fusion-sep-none fusion-title-text fusion-title-size-one\" style=\"--awb-margin-bottom:10px;--awb-margin-top-small:0px;--awb-margin-right-small:0px;--awb-margin-bottom-small:20px;--awb-margin-left-small:0px;\"><h1 class=\"fusion-title-heading title-heading-left\" style=\"margin:0;\">The Rule of 72<\/h1><\/div><div class=\"fusion-text fusion-text-1\"><p><script>!function(e,t){var s=\"script\",a=e.getElementsByTagName(s)[0],n=e.createElement(s);n.async=!0,n.src=\"https:\/\/banzai.org\/coach\/styles.js?subdomain=northshore\",a.parentNode.insertBefore(n,a)}(document);<\/script><\/p>\n<p class=\"intro\">Calculating compound interest is complicated. Luckily, there\u2019s a simple shortcut that helps you estimate how a fixed interest rate will affect your savings: the Rule of 72.<\/p>\n<h2 id=\"the-basics\">The Basics<\/h2>\n<p>The Rule of 72 is a tool used to estimate how long it will take an investment to double at a given interest rate, assuming a fixed annual rate of interest. All you need to use the tool is an interest rate, which means you can make estimates for your current account rate or use this rule to know what rate you should look for if you want to double your money by a specific deadline.<\/p>\n<p>To figure out how long it will take to double your money, take the fixed annual interest rate and divide that number into 72. Let\u2019s say your interest rate is 8%. 72 \u2215 8 = 9, so it will take about 9 years to double your money. A 10% interest rate will double your investment in about 7 years (72 \u2215 10 = 7.2); an amount invested at a 12% interest rate will double in about 6 years (72 \u2215 12 = 6).<\/p>\n<p>To figure out what interest rate to look for, use the same basic formula, but run it backward: divide 72 by the number of years. So if you want to double your money in about 6 years, look for an interest rate of 12%.<\/p>\n<p>The basic algebraic formula looks like this, where Y is the number of years and r is the interest rate:<\/p>\n<p>Y = 72 \u2215 r and r = 72 \u2215 Y<\/p>\n<p>This rule works for interest rates from about 4% up to about 20%; after that, the error becomes significant and more straightforward math is required.<\/p>\n<h2 id=\"why-72\">Why 72?<\/h2>\n<p>Here, we merely scrape the surface of that \u201cmore straightforward math.\u201d To really dive deep into why the rule works, check out\u00a0<a href=\"http:\/\/www.moneychimp.com\/features\/rule72_why.htm\" rel=\"noopener\">this article.<\/a><\/p>\n<p>The Rule of 72 is itself an estimation. It uses a concept called\u00a0<em>natural logarithms<\/em>\u00a0to estimate compounding periods. In mathematics, the natural logarithm is the amount of time needed to reach a particular level of growth using continuous compounding.<\/p>\n<p>For math enthusiasts out there: it is easiest to see how this works through continuously compounded interest. (The Rule of 72 addresses\u00a0<em>annually compounded interest<\/em>, but we\u2019ll get there in a minute.)<\/p>\n<p>When dealing with continuously compounding interest, you can work out the exact time it takes an investment to double by using the time value of money formula (TVM) and simplifying the equation until eventually, you are left with something like this:<\/p>\n<p><em>ln<\/em>(2)= rY<\/p>\n<p>The natural log (<em>ln<\/em>) of 2 is about 0.693. Solve for interest rate (r) or number of years (Y), and then multiply by 100 to express as a percentage or year, respectively.<\/p>\n<div id=\"rule-of-72-interest-rate\" class=\"__banzai-coach\"><\/div>\n<p>href=&#8221;https:\/\/banzai.org\/wellness\/resources\/rule-of-72-calculator-by-years&#8221; rel=&#8221;noopener&#8221;&gt;Click here<a id=\"wait-anchor\" class=\"anchor\"><\/a><\/p>\n<div id=\"rule-of-72-years\" class=\"__banzai-coach\"><\/div>\n<h2 id=\"wait\">Wait&#8230;<\/h2>\n<p>If our new formula is based on the number 69.3 (0.693 \u00d7 100), that begs the question: Why isn\u2019t it called the Rule of 69.3?<\/p>\n<p>First, that just doesn\u2019t sound quite as good as \u201cThe Rule of 72.\u201d Second, there are two points to remember:<\/p>\n<ol>\n<li>The \u201cRule of 69.3\u201d is not an estimation. It is the\u00a0<em>actual amount of time<\/em>\u00a0that it will take money to double, and works for any range of interest rates.<\/li>\n<li>The Rule of 69.3 works for\u00a0<em>continuously compounded interest<\/em>. The Rule of 72 works for a\u00a0<em>fixed annual rate of interest<\/em>.<\/li>\n<\/ol>\n<p>The math equation for fixed annual interest is slightly more complex, and simplifying it leaves us with approximately 72.7.<\/p>\n<p>Normally, we would round up to 73. However, 72 is much easier to work with, as it is readily divisible by 2, 3, 4, 6, 8, 9, and 12. As we are already estimating, convenience wins out, and we are left with the Rule of 72.<\/p>\n<h2 id=\"history\">History<\/h2>\n<p>The Rule of 72 was first introduced in the late fifteenth century by the Franciscan friar and Italian mathematician Luca Pacioli. A contemporary of Leonardo da Vinci, Pacioli is considered by many to be the father of accounting. The Rule of 72 was introduced in his book\u00a0<em>Summa de arithmetica, geometria, proportioni et proportionalita<\/em>, published in 1494 for use as a textbook for schools in what is now northern Italy.<\/p>\n<\/div><div class=\"fusion-clearfix\"><\/div><\/div><\/div><\/div><\/div><\/p>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":1,"featured_media":3603,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"inline_featured_image":false,"footnotes":""},"categories":[11,14],"tags":[],"class_list":["post-3600","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-budgeting","category-savings-retirement"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v28.1 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>The Rule of 72 - North Shore Trust and Savings<\/title>\n<meta name=\"description\" content=\"Calculating compound interest is much easier with this shortcut.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.northshoretrust.com\/es\/2022\/09\/17\/la-regla-del-72\/\" \/>\n<meta property=\"og:locale\" content=\"es_MX\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"The Rule of 72 - 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