{"id":52959,"date":"2025-04-01T09:00:00","date_gmt":"2025-04-01T07:00:00","guid":{"rendered":"https:\/\/blog.sheetgo.com\/?p=52959"},"modified":"2025-06-03T20:48:28","modified_gmt":"2025-06-03T18:48:28","slug":"mdura-formula-gs2","status":"publish","type":"post","link":"https:\/\/www.sheetgo.com\/fr\/blog\/google-sheets-features\/mdura-formula-gs2\/","title":{"rendered":"Formule MDURATION dans Google Sheets pour une meilleure analyse des obligations"},"content":{"rendered":"\n[et_pb_section fb_built=&#8221;1&#8243; _builder_version=&#8221;4.27.2&#8243; _module_preset=&#8221;default&#8221; global_colors_info=&#8221;{}&#8221; da_is_popup=&#8221;off&#8221; da_exit_intent=&#8221;off&#8221; da_has_close=&#8221;on&#8221; da_alt_close=&#8221;off&#8221; da_dark_close=&#8221;off&#8221; da_not_modal=&#8221;on&#8221; da_is_singular=&#8221;off&#8221; da_with_loader=&#8221;off&#8221; da_has_shadow=&#8221;on&#8221; da_disable_devices=&#8221;off|off|off&#8221;][et_pb_row _builder_version=&#8221;4.27.2&#8243; _module_preset=&#8221;default&#8221; global_colors_info=&#8221;{}&#8221;][et_pb_column type=&#8221;4_4&#8243; _builder_version=&#8221;4.27.2&#8243; _module_preset=&#8221;default&#8221; global_colors_info=&#8221;{}&#8221;][et_pb_text _builder_version=&#8221;4.27.2&#8243; _module_preset=&#8221;default&#8221; min_height=&#8221;277.6px&#8221; global_colors_info=&#8221;{}&#8221;]<h4><b>Introduction<\/b><\/h4>\n<p><span style=\"font-weight: 400;\">Imagine you&#8217;re exploring bond investments and you&#8217;re trying to figure out not just when you&#8217;ll get your money back, but also how changes in interest rates might affect your returns. This is where the MDURATION formula in Google Sheets shines. It provides a clear picture of the weighted average time until a bond&#8217;s cash flows repay the investment, adjusted for interest rate sensitivity. Let\u2019s dive into how this formula works and apply it to real-world scenarios for better financial decisions.<\/span><\/p>[\/et_pb_text][et_pb_text _builder_version=&#8221;4.27.2&#8243; _module_preset=&#8221;default&#8221; global_colors_info=&#8221;{}&#8221;]<h4><b>Understanding MDURATION<\/b><\/h4>\n<p><span style=\"font-weight: 400;\">MDURATION stands for modified Macaulay duration and is particularly useful for bond investors to measure the time it takes to recover their investment in present value terms, while also considering the bond&#8217;s yield and interest rate.<\/span><\/p>\n<h5><b>Syntax Explained<\/b><\/h5>\n<p><span style=\"font-weight: 400;\">Here&#8217;s how the MDURATION formula is structured:<\/span><\/p>[\/et_pb_text][et_pb_text module_class=&#8221;spreadsheet-function&#8221; _builder_version=&#8221;4.27.2&#8243; _module_preset=&#8221;default&#8221; global_colors_info=&#8221;{}&#8221;]<p><span style=\"font-weight: 400;\">MDURATION(settlement,<\/span> <span style=\"font-weight: 400;\">maturity,<\/span> <span style=\"font-weight: 400;\">rate,<\/span> <span style=\"font-weight: 400;\">yield,<\/span> <span style=\"font-weight: 400;\">frequency,<\/span> <span style=\"font-weight: 400;\">[day_count_convention])<\/span><\/p>[\/et_pb_text][et_pb_text _builder_version=&#8221;4.27.2&#8243; _module_preset=&#8221;default&#8221; global_colors_info=&#8221;{}&#8221;]<ul>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><b>settlement<\/b><span style=\"font-weight: 400;\">: The date you start owning the bond.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><b>maturity<\/b><span style=\"font-weight: 400;\">: The date the bond will pay back its principal.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><b>rate<\/b><span style=\"font-weight: 400;\">: The annual coupon rate of the bond.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><b>yield<\/b><span style=\"font-weight: 400;\">: Your expected annual return from the bond.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><b>frequency<\/b><span style=\"font-weight: 400;\">: How many times a year interest is paid (e.g., annually, semiannually).<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><b>day_count_convention<\/b><span style=\"font-weight: 400;\">: This optional parameter defines the method for counting days in a year, which influences duration calculations.<\/span><\/li>\n<\/ul>\n<h4><b>Setting Up Google Sheets<\/b><\/h4>\n<p><span style=\"font-weight: 400;\">To utilize this formula effectively, you&#8217;ll want to set up a scenario in Google Sheets. Here\u2019s how to organize your data:<\/span><\/p>\n<p><b>Sheet Layout:<\/b><\/p>\n<ul>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><b>A<\/b><span style=\"font-weight: 400;\">: Description<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><b>B<\/b><span style=\"font-weight: 400;\">: Settlement Date<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><b>C<\/b><span style=\"font-weight: 400;\">: Maturity Date<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><b>D<\/b><span style=\"font-weight: 400;\">: Rate<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><b>E<\/b><span style=\"font-weight: 400;\">: Yield<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><b>F<\/b><span style=\"font-weight: 400;\">: Frequency<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><b>G<\/b><span style=\"font-weight: 400;\">: Day Count Convention<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><b>H<\/b><span style=\"font-weight: 400;\">: MDURATION Result<\/span><\/li>\n<\/ul>\n<p><span style=\"font-weight: 400;\">Input some hypothetical data to analyze a potential bond investment:<\/span><\/p>\n<ul>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><b>Settlement Date<\/b><span style=\"font-weight: 400;\">: &#8220;2023-01-01&#8221;<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><b>Maturity Date<\/b><span style=\"font-weight: 400;\">: &#8220;2028-01-01&#8221;<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><b>Rate<\/b><span style=\"font-weight: 400;\">: 5%<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><b>Yield<\/b><span style=\"font-weight: 400;\">: 4.5%<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><b>Frequency<\/b><span style=\"font-weight: 400;\">: 2 (semiannual payments)<\/span><\/li>\n<\/ul>\n<h4><b>Practical Example<\/b><\/h4>\n<p><span style=\"font-weight: 400;\">Calculate the MDURATION for different day count conventions to see the variation in results:<\/span><\/p>[\/et_pb_text][et_pb_text _builder_version=&#8221;4.27.2&#8243; _module_preset=&#8221;default&#8221; global_colors_info=&#8221;{}&#8221;]<p>&nbsp;<\/p>\n<table width=\"353\" height=\"300\">\n<tbody>\n<tr>\n<td style=\"width: 62.1458px;\"><b>A<\/b><\/td>\n<td style=\"width: 42.5104px;\"><b>B<\/b><\/td>\n<td style=\"width: 43.2188px;\"><b>C<\/b><\/td>\n<td style=\"width: 21.5312px;\"><b>D<\/b><\/td>\n<td style=\"width: 34.8854px;\"><b>E<\/b><\/td>\n<td style=\"width: 10.75px;\"><b>F<\/b><\/td>\n<td style=\"width: 12.9167px;\"><b>G<\/b><\/td>\n<td style=\"width: 141.302px;\"><b>H<\/b><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 62.1458px;\"><span style=\"font-weight: 400;\">Example 1<\/span><\/td>\n<td style=\"width: 42.5104px;\"><span style=\"font-weight: 400;\">2023-01-01<\/span><\/td>\n<td style=\"width: 43.2188px;\"><span style=\"font-weight: 400;\">2028-01-01<\/span><\/td>\n<td style=\"width: 21.5312px;\"><span style=\"font-weight: 400;\">5%<\/span><\/td>\n<td style=\"width: 34.8854px;\"><span style=\"font-weight: 400;\">4.5%<\/span><\/td>\n<td style=\"width: 10.75px;\"><span style=\"font-weight: 400;\">2<\/span><\/td>\n<td style=\"width: 12.9167px;\"><span style=\"font-weight: 400;\">0<\/span><\/td>\n<td style=\"width: 141.302px;\"><span style=\"font-weight: 400;\">=MDURATION(B2, C2, D2, E2, F2, G2)<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 62.1458px;\"><span style=\"font-weight: 400;\">Example 2<\/span><\/td>\n<td style=\"width: 42.5104px;\"><span style=\"font-weight: 400;\">2023-01-01<\/span><\/td>\n<td style=\"width: 43.2188px;\"><span style=\"font-weight: 400;\">2028-01-01<\/span><\/td>\n<td style=\"width: 21.5312px;\"><span style=\"font-weight: 400;\">5%<\/span><\/td>\n<td style=\"width: 34.8854px;\"><span style=\"font-weight: 400;\">4.5%<\/span><\/td>\n<td style=\"width: 10.75px;\"><span style=\"font-weight: 400;\">2<\/span><\/td>\n<td style=\"width: 12.9167px;\"><span style=\"font-weight: 400;\">1<\/span><\/td>\n<td style=\"width: 141.302px;\"><span style=\"font-weight: 400;\">=MDURATION(B3, C3, D3, E3, F3, G3)<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 62.1458px;\"><span style=\"font-weight: 400;\">Example 3<\/span><\/td>\n<td style=\"width: 42.5104px;\"><span style=\"font-weight: 400;\">2023-01-01<\/span><\/td>\n<td style=\"width: 43.2188px;\"><span style=\"font-weight: 400;\">2028-01-01<\/span><\/td>\n<td style=\"width: 21.5312px;\"><span style=\"font-weight: 400;\">5%<\/span><\/td>\n<td style=\"width: 34.8854px;\"><span style=\"font-weight: 400;\">4.5%<\/span><\/td>\n<td style=\"width: 10.75px;\"><span style=\"font-weight: 400;\">2<\/span><\/td>\n<td style=\"width: 12.9167px;\"><span style=\"font-weight: 400;\">4<\/span><\/td>\n<td style=\"width: 141.302px;\"><span style=\"font-weight: 400;\">=MDURATION(B4, C4, D4, E4, F4, G4)<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>[\/et_pb_text][et_pb_text _builder_version=&#8221;4.27.2&#8243; _module_preset=&#8221;default&#8221; global_colors_info=&#8221;{}&#8221;]<h4><b>Observations and Insights<\/b><\/h4>\n<ul>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><b>Example 1<\/b><span style=\"font-weight: 400;\">: Uses a 30\/360 day count convention, typical in the U.S., showing a traditional financial calculation approach.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><b>Example 2<\/b><span style=\"font-weight: 400;\">: Uses actual days between dates for more precise calculations.<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><b>Example 3<\/b><span style=\"font-weight: 400;\">: Adapts to European conventions, illustrating how financial practices in different regions affect duration.<\/span><\/li>\n<\/ul>\n<h4><b>Conclusion<\/b><\/h4>\n<p><span style=\"font-weight: 400;\">The MDURATION formula in Google Sheets is a powerful tool that enables investors to assess how sensitive their bond investments are to changes in interest rates. By understanding and applying this formula, you can make more informed decisions about your bond purchases, strategically planning your investments to match your financial goals and risk tolerance. Whether you\u2019re a novice investor or an experienced financial analyst, Google Sheets provides the tools you need to analyze and manage your investment portfolio effectively.<\/span><\/p>\n<p>&nbsp;<\/p>[\/et_pb_text][\/et_pb_column][\/et_pb_row][\/et_pb_section]\n","protected":false},"excerpt":{"rendered":"<p>Introduction Imagine you&#8217;re exploring bond investments and you&#8217;re trying to figure out not just when you&#8217;ll get your money back, but also how changes in interest rates might affect your returns. This is where the MDURATION formula in Google Sheets shines. It provides a clear picture of the weighted average time until a bond&#8217;s cash [&hellip;]<\/p>\n","protected":false},"author":46,"featured_media":44470,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"_et_pb_use_builder":"on","_et_pb_old_content":"","_et_gb_content_width":"","footnotes":""},"categories":[37],"tags":[28],"class_list":["post-52959","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-google-sheets-features","tag-spreadsheets"],"acf":[],"_links":{"self":[{"href":"https:\/\/www.sheetgo.com\/fr\/wp-json\/wp\/v2\/posts\/52959","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.sheetgo.com\/fr\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.sheetgo.com\/fr\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.sheetgo.com\/fr\/wp-json\/wp\/v2\/users\/46"}],"replies":[{"embeddable":true,"href":"https:\/\/www.sheetgo.com\/fr\/wp-json\/wp\/v2\/comments?post=52959"}],"version-history":[{"count":0,"href":"https:\/\/www.sheetgo.com\/fr\/wp-json\/wp\/v2\/posts\/52959\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.sheetgo.com\/fr\/wp-json\/wp\/v2\/media\/44470"}],"wp:attachment":[{"href":"https:\/\/www.sheetgo.com\/fr\/wp-json\/wp\/v2\/media?parent=52959"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.sheetgo.com\/fr\/wp-json\/wp\/v2\/categories?post=52959"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.sheetgo.com\/fr\/wp-json\/wp\/v2\/tags?post=52959"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}