{"id":4741,"date":"2026-01-24T10:47:42","date_gmt":"2026-01-24T15:47:42","guid":{"rendered":"https:\/\/josmfs.net\/wordpress\/?p=4741"},"modified":"2026-01-24T10:47:42","modified_gmt":"2026-01-24T15:47:42","slug":"interest-calculations","status":"publish","type":"post","link":"https:\/\/josmfs.net\/wordpress\/2026\/01\/24\/interest-calculations\/","title":{"rendered":"Interest Calculations"},"content":{"rendered":"<p><img loading=\"lazy\" decoding=\"async\" class=\"alignleft  wp-image-4739\" src=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2026\/01\/Interest-Calculations-Fig2.jpg\" alt=\"\" width=\"201\" height=\"172\" srcset=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2026\/01\/Interest-Calculations-Fig2.jpg 400w, https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2026\/01\/Interest-Calculations-Fig2-300x257.jpg 300w\" sizes=\"auto, (max-width: 201px) 100vw, 201px\" \/>A recent <a href=\"https:\/\/www.youtube.com\/watch?v=JJz5D9txeGA&amp;pp=0gcJCYcKAYcqIYzv\">video<\/a> by Angela Collier about compound interest reminded me of an effort I did years ago to derive the formulas for interest calculations, especially for installment payments on a loan like a mortgage.\u00a0 In the process I showed where Euler\u2019s constant e can show up.\u00a0 I thought I would resurrect the material, even though I imagine modern texts now provide the information (I couldn\u2019t easily locate it back then).<\/p>\n<p>See <a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2026\/01\/Interest-Calculations-260122.pdf\">Interest Calculations<\/a>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>A recent video by Angela Collier about compound interest reminded me of an effort I did years ago to derive the formulas for interest calculations, especially for installment payments on a loan like a mortgage.\u00a0 In the process I showed where Euler\u2019s constant e can show up.\u00a0 I thought I would resurrect the material, even [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[4],"tags":[252,290,38,35],"class_list":["post-4741","post","type-post","status-publish","format-standard","hentry","category-math-inquiries","tag-angela-collier","tag-compound-interest","tag-exponential-growth","tag-geometric-series"],"_links":{"self":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/4741","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/comments?post=4741"}],"version-history":[{"count":1,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/4741\/revisions"}],"predecessor-version":[{"id":4742,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/4741\/revisions\/4742"}],"wp:attachment":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/media?parent=4741"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/categories?post=4741"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/tags?post=4741"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}