{"id":138,"date":"2020-05-31T13:53:01","date_gmt":"2020-05-31T08:23:01","guid":{"rendered":"https:\/\/theactuarialclub.com\/learn\/?p=138"},"modified":"2025-04-30T11:30:21","modified_gmt":"2025-04-30T06:00:21","slug":"run-off-triangles-in-gi","status":"publish","type":"post","link":"https:\/\/theactuarialclub.com\/learn\/actuarial-gi-reserving\/run-off-triangles-in-gi\/","title":{"rendered":"Run Off Triangles in GI"},"content":{"rendered":"\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-28f84493 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:37.27%\">\n<div class=\"wp-block-buttons is-layout-flex wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button\"><a class=\"wp-block-button__link has-luminous-vivid-amber-background-color has-background wp-element-button\" href=\"https:\/\/theactuarialclub.com\/learn\/actuarial-gi-reserving\/actuarial-gi-reserving-introduction\/\" style=\"border-radius:6px\">&lt; Previous<\/a><\/div>\n<\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-column ghostkit-d-sm-none ghostkit-d-md-none is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:57.1%\"><\/div>\n\n\n\n<div class=\"wp-block-column tac-button-next is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:37.27%\">\n<div class=\"wp-block-buttons is-layout-flex wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button\"><a class=\"wp-block-button__link has-luminous-vivid-amber-background-color has-background wp-element-button\" href=\"https:\/\/theactuarialclub.com\/learn\/actuarial-gi-reserving\/types-of-run-off-reserves\/\" style=\"border-radius:6px\">Next &gt;<\/a><\/div>\n<\/div>\n<\/div>\n<\/div>\n\n\n\n<p class=\"has-very-dark-gray-color has-text-color has-background\" style=\"background-color:#d4edda\"><em>The run off triangles helps in forecasting the reserve amount that needs to be held by the insurer at any point in time so that they have sufficient assets to cover their liabilities at any point in time. They can be used to forecast the different types of reserves<\/em>.<\/p>\n\n\n\n<div class=\"schema-faq wp-block-yoast-faq-block\"><div class=\"schema-faq-section\"><strong class=\"schema-faq-question\">What are run off triangles?<\/strong> <p class=\"schema-faq-answer\"><em>Run off triangles<\/em>\u00a0are a method used to model claims experience. They&#8217;re specifically used to estimate the future claims that will be reported based on those already reported. When a claim event occurs there will be some time before it is reported or notified to the insurer &#8211; this is known as a claim delay.<br\/><br\/><\/p> <\/div> <div class=\"schema-faq-section\"><strong class=\"schema-faq-question\">How run off triangles is prepared for calculating reserves?<\/strong> <p class=\"schema-faq-answer\">Generally, one axis of the\u00a0run off triangles\u00a0matrix (vertical one) denotes accident year and the other axis (horizontal one) denotes development year (or, delay year).<br\/><br\/>Accident year specifies in which year the claim is reported. Development year specifies after how many years of the claim reported it is getting settled.<br\/><br\/>The upper-left-side run off triangle is usually formed with paid claim amounts (sometimes with incurred claim amounts). The lower-right-side triangle is a projection of future claim payments.<br\/><br\/>However, it is not always the case. The run-off triangles can also be based on the Reporting year or Underwriting year. But in general, what we use is Accident year.<br\/><br\/><\/p> <\/div> <div class=\"schema-faq-section\"><strong class=\"schema-faq-question\">Where are run off triangles used in reserving?<\/strong> <p class=\"schema-faq-answer\">The\u00a0run off triangles\u00a0are used to estimate how much or how many claims have been incurred in a reporting period (eg financial year) but are not yet reported and a reserve is held for this. It\u2019s called an\u00a0IBNR\u00a0\u2013 incurred but not reported reserve.<br\/><br\/><\/p> <\/div> <\/div>\n\n\n\n<p>When a claim event occurs there will be some time before it is reported or notified to the insurer \u2013 this is known as a claim delay. The insurer will incur numerous claims in a calendar year, and each of those claims will have a claim delay. <\/p>\n\n\n\n<p>The&nbsp;run off triangles&nbsp;are used to estimate how much or how many claims have been incurred in a reporting period (eg financial year) but are not yet reported and a reserve is held for this. It\u2019s called an&nbsp;IBNR&nbsp;\u2013 incurred but not reported reserve.<\/p>\n\n\n\n<p>They look like the example below and can have 100 of quarters, the older the company, bigger the triangle. <\/p>\n\n\n\n<hr class=\"wp-block-separator has-css-opacity\"\/>\n","protected":false},"excerpt":{"rendered":"<p>The run off triangles helps in forecasting the reserve amount that needs to be held by the insurer at any point in time so that they have sufficient assets to cover their liabilities at any point in time. They can be used to forecast the different types of reserves. When a claim event occurs there [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[16],"tags":[],"class_list":["post-138","post","type-post","status-publish","format-standard","hentry","category-actuarial-gi-reserving"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v27.2 (Yoast SEO v27.4) - https:\/\/yoast.com\/product\/yoast-seo-premium-wordpress\/ -->\n<title>Run Off Triangles in GI &#8226; TAC Actuarial Learning<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/theactuarialclub.com\/learn\/actuarial-gi-reserving\/run-off-triangles-in-gi\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Run Off Triangles in GI\" \/>\n<meta property=\"og:description\" content=\"The run off triangles helps in forecasting the reserve amount that needs to be held by the insurer at any point in time so that they have sufficient assets to cover their liabilities at any point in time. They can be used to forecast the different types of reserves. When a claim event occurs there [&hellip;]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/theactuarialclub.com\/learn\/actuarial-gi-reserving\/run-off-triangles-in-gi\/\" \/>\n<meta property=\"og:site_name\" content=\"TAC Actuarial Learning\" \/>\n<meta property=\"article:author\" content=\"http:\/\/www.facebook.com\/maygoyal\" \/>\n<meta property=\"article:published_time\" content=\"2020-05-31T08:23:01+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2025-04-30T06:00:21+00:00\" \/>\n<meta name=\"author\" content=\"Mayank Goyal FIA\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:creator\" content=\"@may_mgtl\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"Mayank Goyal FIA\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"2 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\\\/\\\/theactuarialclub.com\\\/learn\\\/actuarial-gi-reserving\\\/run-off-triangles-in-gi\\\/#article\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/theactuarialclub.com\\\/learn\\\/actuarial-gi-reserving\\\/run-off-triangles-in-gi\\\/\"},\"author\":{\"name\":\"Mayank Goyal FIA\",\"@id\":\"https:\\\/\\\/theactuarialclub.com\\\/learn\\\/#\\\/schema\\\/person\\\/b648b855bd3a04dca7fb005fb3d604f4\"},\"headline\":\"Run Off Triangles in GI\",\"datePublished\":\"2020-05-31T08:23:01+00:00\",\"dateModified\":\"2025-04-30T06:00:21+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\\\/\\\/theactuarialclub.com\\\/learn\\\/actuarial-gi-reserving\\\/run-off-triangles-in-gi\\\/\"},\"wordCount\":403,\"commentCount\":1,\"publisher\":{\"@id\":\"https:\\\/\\\/theactuarialclub.com\\\/learn\\\/#organization\"},\"articleSection\":[\"Actuarial GI Reserving\"],\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\\\/\\\/theactuarialclub.com\\\/learn\\\/actuarial-gi-reserving\\\/run-off-triangles-in-gi\\\/#respond\"]}]},{\"@type\":[\"WebPage\",\"FAQPage\"],\"@id\":\"https:\\\/\\\/theactuarialclub.com\\\/learn\\\/actuarial-gi-reserving\\\/run-off-triangles-in-gi\\\/\",\"url\":\"https:\\\/\\\/theactuarialclub.com\\\/learn\\\/actuarial-gi-reserving\\\/run-off-triangles-in-gi\\\/\",\"name\":\"Run Off Triangles in GI &#8226; 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Actuarial Science, Blogger, Web Developing, Winphan India, App development, Social Media Managing, Event Managing &amp; bla bla bla.","sameAs":["http:\/\/www.insurology.in","http:\/\/www.facebook.com\/maygoyal","https:\/\/www.instagram.com\/maygoyal\/","https:\/\/www.linkedin.com\/in\/mayank-goyal\/","https:\/\/x.com\/may_mgtl"],"url":"https:\/\/theactuarialclub.com\/learn\/author\/mayankgoyal\/"},{"@type":"Question","@id":"https:\/\/theactuarialclub.com\/learn\/actuarial-gi-reserving\/run-off-triangles-in-gi\/#faq-question-1590913039950","position":1,"url":"https:\/\/theactuarialclub.com\/learn\/actuarial-gi-reserving\/run-off-triangles-in-gi\/#faq-question-1590913039950","name":"What are run off triangles?","answerCount":1,"acceptedAnswer":{"@type":"Answer","text":"<em>Run off triangles<\/em>\u00a0are a method used to model claims experience. They're specifically used to estimate the future claims that will be reported based on those already reported. When a claim event occurs there will be some time before it is reported or notified to the insurer - this is known as a claim delay.<br\/><br\/>","inLanguage":"en-US"},"inLanguage":"en-US"},{"@type":"Question","@id":"https:\/\/theactuarialclub.com\/learn\/actuarial-gi-reserving\/run-off-triangles-in-gi\/#faq-question-1590913108712","position":2,"url":"https:\/\/theactuarialclub.com\/learn\/actuarial-gi-reserving\/run-off-triangles-in-gi\/#faq-question-1590913108712","name":"How run off triangles is prepared for calculating reserves?","answerCount":1,"acceptedAnswer":{"@type":"Answer","text":"Generally, one axis of the\u00a0run off triangles\u00a0matrix (vertical one) denotes accident year and the other axis (horizontal one) denotes development year (or, delay year).<br\/><br\/>Accident year specifies in which year the claim is reported. Development year specifies after how many years of the claim reported it is getting settled.<br\/><br\/>The upper-left-side run off triangle is usually formed with paid claim amounts (sometimes with incurred claim amounts). The lower-right-side triangle is a projection of future claim payments.<br\/><br\/>However, it is not always the case. The run-off triangles can also be based on the Reporting year or Underwriting year. But in general, what we use is Accident year.<br\/><br\/>","inLanguage":"en-US"},"inLanguage":"en-US"},{"@type":"Question","@id":"https:\/\/theactuarialclub.com\/learn\/actuarial-gi-reserving\/run-off-triangles-in-gi\/#faq-question-1590913171814","position":3,"url":"https:\/\/theactuarialclub.com\/learn\/actuarial-gi-reserving\/run-off-triangles-in-gi\/#faq-question-1590913171814","name":"Where are run off triangles used in reserving?","answerCount":1,"acceptedAnswer":{"@type":"Answer","text":"The\u00a0run off triangles\u00a0are used to estimate how much or how many claims have been incurred in a reporting period (eg financial year) but are not yet reported and a reserve is held for this. It\u2019s called an\u00a0IBNR\u00a0\u2013 incurred but not reported reserve.<br\/><br\/>","inLanguage":"en-US"},"inLanguage":"en-US"}]}},"acf":[],"_links":{"self":[{"href":"https:\/\/theactuarialclub.com\/learn\/wp-json\/wp\/v2\/posts\/138","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/theactuarialclub.com\/learn\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/theactuarialclub.com\/learn\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/theactuarialclub.com\/learn\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/theactuarialclub.com\/learn\/wp-json\/wp\/v2\/comments?post=138"}],"version-history":[{"count":32,"href":"https:\/\/theactuarialclub.com\/learn\/wp-json\/wp\/v2\/posts\/138\/revisions"}],"predecessor-version":[{"id":895,"href":"https:\/\/theactuarialclub.com\/learn\/wp-json\/wp\/v2\/posts\/138\/revisions\/895"}],"wp:attachment":[{"href":"https:\/\/theactuarialclub.com\/learn\/wp-json\/wp\/v2\/media?parent=138"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/theactuarialclub.com\/learn\/wp-json\/wp\/v2\/categories?post=138"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/theactuarialclub.com\/learn\/wp-json\/wp\/v2\/tags?post=138"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}