{"id":21816,"date":"2025-08-02T13:15:57","date_gmt":"2025-08-02T13:15:57","guid":{"rendered":"https:\/\/certifeka-edu.com\/programs\/finance-for-strategic-managers-finance-professional-certificate\/lessons\/lesson-5-due-annuities-time-value-index\/"},"modified":"2025-08-03T16:20:35","modified_gmt":"2025-08-03T16:20:35","slug":"lesson-5-annuity-due","status":"publish","type":"lesson","link":"https:\/\/certifeka-edu.com\/ar\/programs\/finance-for-strategic-managers-finance-professional-certificate\/lessons\/lesson-5-annuity-due\/","title":{"rendered":"Lesson 5: Annuity due"},"content":{"rendered":"<div data-elementor-type=\"wp-post\" data-elementor-id=\"21816\" class=\"elementor elementor-21816\" wpc-filter-elementor-widget=\"1\">\n\t\t\t\t<div class=\"elementor-element elementor-element-ca17810 e-con-full e-flex e-con e-parent\" data-id=\"ca17810\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t<div class=\"elementor-element elementor-element-f9c56b6 e-con-full e-flex e-con e-child\" data-id=\"f9c56b6\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t\t\t<div class=\"elementor-element elementor-element-56b504c exad-sticky-section-no exad-glass-effect-no elementor-widget elementor-widget-image\" data-id=\"56b504c\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img decoding=\"async\" width=\"96\" height=\"114\" src=\"https:\/\/certifeka-edu.com\/wp-content\/uploads\/2025\/04\/logos-png-01-296x57-1.png\" class=\"attachment-large size-large wp-image-16861\" alt=\"\" srcset=\"https:\/\/certifeka-edu.com\/wp-content\/uploads\/2025\/04\/logos-png-01-296x57-1.png 96w, https:\/\/certifeka-edu.com\/wp-content\/uploads\/2025\/04\/logos-png-01-296x57-1-10x12.png 10w, https:\/\/certifeka-edu.com\/wp-content\/uploads\/2025\/04\/logos-png-01-296x57-1-42x50.png 42w\" sizes=\"(max-width: 96px) 100vw, 96px\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-06e5a35 e-con-full e-flex e-con e-child\" data-id=\"06e5a35\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t\t\t<div class=\"elementor-element elementor-element-aa49fbf exad-sticky-section-no exad-glass-effect-no elementor-widget elementor-widget-heading\" data-id=\"aa49fbf\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Lesson 5 Due annuities time value\n<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-870de85 e-flex e-con-boxed e-con e-parent\" data-id=\"870de85\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t\t\t<div class=\"elementor-element elementor-element-c1f1e21 exad-sticky-section-no exad-glass-effect-no elementor-widget elementor-widget-heading\" data-id=\"c1f1e21\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">Annuity due\n\n<\/h3>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-3e679da exad-sticky-section-no exad-glass-effect-no elementor-widget elementor-widget-image\" data-id=\"3e679da\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img decoding=\"async\" width=\"128\" height=\"128\" src=\"https:\/\/certifeka-edu.com\/wp-content\/uploads\/2025\/08\/2a657a8f5d7593be63388fc5508818e6.png\" class=\"attachment-large size-large wp-image-22441\" alt=\"\" srcset=\"https:\/\/certifeka-edu.com\/wp-content\/uploads\/2025\/08\/2a657a8f5d7593be63388fc5508818e6.png 128w, https:\/\/certifeka-edu.com\/wp-content\/uploads\/2025\/08\/2a657a8f5d7593be63388fc5508818e6-100x100.png 100w, https:\/\/certifeka-edu.com\/wp-content\/uploads\/2025\/08\/2a657a8f5d7593be63388fc5508818e6-12x12.png 12w, https:\/\/certifeka-edu.com\/wp-content\/uploads\/2025\/08\/2a657a8f5d7593be63388fc5508818e6-50x50.png 50w\" sizes=\"(max-width: 128px) 100vw, 128px\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-85bbf28 exad-sticky-section-no exad-glass-effect-no elementor-widget elementor-widget-text-editor\" data-id=\"85bbf28\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<h5><span style=\"color: #000080;\">We now turn our attention to annuities due. Remember that the cash flows of an annuity due occur at the start of the period.<\/span><\/h5>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-a90b61f exad-sticky-section-no exad-glass-effect-no elementor-widget elementor-widget-text-editor\" data-id=\"a90b61f\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<h5>In other words, if we are dealing with annual payments, each payment in an annuity due comes one year earlier than it would in an ordinary annuity<\/h5>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-82443c2 exad-sticky-section-no exad-glass-effect-no elementor-widget elementor-widget-text-editor\" data-id=\"82443c2\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<h5>This, in turn, means that each payment can earn an extra year&#8217;s worth of interest, which is why the future value of an annuity due exceeds the future value of an otherwise identical ordinary annuity.<\/h5>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-4e78ff9 exad-sticky-section-no exad-glass-effect-no elementor-widget elementor-widget-image\" data-id=\"4e78ff9\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img fetchpriority=\"high\" decoding=\"async\" width=\"660\" height=\"202\" src=\"https:\/\/certifeka-edu.com\/wp-content\/uploads\/2025\/08\/ab872f79a566149aa91c7df04458d540-1-1024x313.jpg\" class=\"attachment-large size-large wp-image-22447\" alt=\"\" srcset=\"https:\/\/certifeka-edu.com\/wp-content\/uploads\/2025\/08\/ab872f79a566149aa91c7df04458d540-1-1024x313.jpg 1024w, https:\/\/certifeka-edu.com\/wp-content\/uploads\/2025\/08\/ab872f79a566149aa91c7df04458d540-1-600x183.jpg 600w, https:\/\/certifeka-edu.com\/wp-content\/uploads\/2025\/08\/ab872f79a566149aa91c7df04458d540-1-300x92.jpg 300w, https:\/\/certifeka-edu.com\/wp-content\/uploads\/2025\/08\/ab872f79a566149aa91c7df04458d540-1-768x235.jpg 768w, https:\/\/certifeka-edu.com\/wp-content\/uploads\/2025\/08\/ab872f79a566149aa91c7df04458d540-1-1536x470.jpg 1536w, https:\/\/certifeka-edu.com\/wp-content\/uploads\/2025\/08\/ab872f79a566149aa91c7df04458d540-1-18x6.jpg 18w, https:\/\/certifeka-edu.com\/wp-content\/uploads\/2025\/08\/ab872f79a566149aa91c7df04458d540-1-164x50.jpg 164w, https:\/\/certifeka-edu.com\/wp-content\/uploads\/2025\/08\/ab872f79a566149aa91c7df04458d540-1.jpg 1920w\" sizes=\"(max-width: 660px) 100vw, 660px\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-d04bf3e exad-sticky-section-no exad-glass-effect-no elementor-widget elementor-widget-text-editor\" data-id=\"d04bf3e\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<h5>This, in turn, means that each payment can earn an extra year&#8217;s worth of interest, which is why the future value of an annuity due exceeds the future value of an otherwise identical ordinary annuity.<\/h5>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-a62f052 exad-sticky-section-no exad-glass-effect-no elementor-widget elementor-widget-image\" data-id=\"a62f052\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"660\" height=\"211\" src=\"https:\/\/certifeka-edu.com\/wp-content\/uploads\/2025\/08\/25c66b3c743dc8773f97bd376df47374-1024x327.jpg\" class=\"attachment-large size-large wp-image-22445\" alt=\"\" srcset=\"https:\/\/certifeka-edu.com\/wp-content\/uploads\/2025\/08\/25c66b3c743dc8773f97bd376df47374-1024x327.jpg 1024w, https:\/\/certifeka-edu.com\/wp-content\/uploads\/2025\/08\/25c66b3c743dc8773f97bd376df47374-600x192.jpg 600w, https:\/\/certifeka-edu.com\/wp-content\/uploads\/2025\/08\/25c66b3c743dc8773f97bd376df47374-300x96.jpg 300w, https:\/\/certifeka-edu.com\/wp-content\/uploads\/2025\/08\/25c66b3c743dc8773f97bd376df47374-768x245.jpg 768w, https:\/\/certifeka-edu.com\/wp-content\/uploads\/2025\/08\/25c66b3c743dc8773f97bd376df47374-1536x490.jpg 1536w, https:\/\/certifeka-edu.com\/wp-content\/uploads\/2025\/08\/25c66b3c743dc8773f97bd376df47374-18x6.jpg 18w, https:\/\/certifeka-edu.com\/wp-content\/uploads\/2025\/08\/25c66b3c743dc8773f97bd376df47374-157x50.jpg 157w, https:\/\/certifeka-edu.com\/wp-content\/uploads\/2025\/08\/25c66b3c743dc8773f97bd376df47374.jpg 1920w\" sizes=\"(max-width: 660px) 100vw, 660px\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-d6fea47 exad-sticky-section-no exad-glass-effect-no elementor-widget elementor-widget-text-editor\" data-id=\"d6fea47\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<h5><span style=\"color: #000080;\">Finding the Future value of Annuity due<\/span><br \/><span style=\"color: #000080;\">In this equation<\/span><\/h5><h5><span style=\"color: #000080;\">(r) represents the interest rate<\/span><\/h5><h5><span style=\"color: #000080;\">(n) represents the number of payments in the annuity.<\/span><\/h5><h5><span style=\"color: #000080;\">&#8220;The calculations required to find the future value of annuity due are illustrated in the following example&#8221;<\/span><br \/><span style=\"color: #000080;\">PV of Annuity due Example<\/span><\/h5>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-6a07f1c exad-sticky-section-no exad-glass-effect-no elementor-widget elementor-widget-image\" data-id=\"6a07f1c\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"660\" height=\"211\" src=\"https:\/\/certifeka-edu.com\/wp-content\/uploads\/2025\/08\/25c66b3c743dc8773f97bd376df47374-1024x327.jpg\" class=\"attachment-large size-large wp-image-22445\" alt=\"\" srcset=\"https:\/\/certifeka-edu.com\/wp-content\/uploads\/2025\/08\/25c66b3c743dc8773f97bd376df47374-1024x327.jpg 1024w, https:\/\/certifeka-edu.com\/wp-content\/uploads\/2025\/08\/25c66b3c743dc8773f97bd376df47374-600x192.jpg 600w, https:\/\/certifeka-edu.com\/wp-content\/uploads\/2025\/08\/25c66b3c743dc8773f97bd376df47374-300x96.jpg 300w, https:\/\/certifeka-edu.com\/wp-content\/uploads\/2025\/08\/25c66b3c743dc8773f97bd376df47374-768x245.jpg 768w, https:\/\/certifeka-edu.com\/wp-content\/uploads\/2025\/08\/25c66b3c743dc8773f97bd376df47374-1536x490.jpg 1536w, https:\/\/certifeka-edu.com\/wp-content\/uploads\/2025\/08\/25c66b3c743dc8773f97bd376df47374-18x6.jpg 18w, https:\/\/certifeka-edu.com\/wp-content\/uploads\/2025\/08\/25c66b3c743dc8773f97bd376df47374-157x50.jpg 157w, https:\/\/certifeka-edu.com\/wp-content\/uploads\/2025\/08\/25c66b3c743dc8773f97bd376df47374.jpg 1920w\" sizes=\"(max-width: 660px) 100vw, 660px\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-5da446c exad-sticky-section-no exad-glass-effect-no elementor-widget elementor-widget-text-editor\" data-id=\"5da446c\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<h5><span style=\"color: #000080;\">Braden Company, a small producer of plastic toys, wants to determine the most it should pay to purchase (PV) a particular due annuity. The annuity consists of cash flows of $700 at the beginning of each year for 5 years. The firm requires the annuity to provide a minimum return of 8%. This situation is depicted in the following timeline:<\/span><br \/><span style=\"color: #000080;\">Answer from applying equation: $3018.49<\/span><\/h5>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>","protected":false},"comment_status":"open","ping_status":"closed","template":"","class_list":["post-21816","lesson","type-lesson","status-publish","hentry"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.5 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Lesson 5: Annuity due - Certifeka-edu<\/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:\/\/certifeka-edu.com\/ar\/programs\/finance-for-strategic-managers-finance-professional-certificate\/lessons\/lesson-5-annuity-due\/\" \/>\n<meta property=\"og:locale\" content=\"ar_AR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Lesson 5: Annuity due - Certifeka-edu\" \/>\n<meta property=\"og:description\" content=\"Lesson 5 Due annuities time value Annuity due We now turn our attention to annuities due. Remember that the cash flows of an annuity due occur at the start of the period. In other words, if we are dealing with annual payments, each payment in an annuity due comes one year earlier than it would [&hellip;]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/certifeka-edu.com\/ar\/programs\/finance-for-strategic-managers-finance-professional-certificate\/lessons\/lesson-5-annuity-due\/\" \/>\n<meta property=\"og:site_name\" content=\"Certifeka-edu\" \/>\n<meta property=\"article:modified_time\" content=\"2025-08-03T16:20:35+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/certifeka-edu.com\/wp-content\/uploads\/2025\/04\/logos-png-01-296x57-1.png\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"\u0648\u0642\u062a \u0627\u0644\u0642\u0631\u0627\u0621\u0629 \u0627\u0644\u0645\u064f\u0642\u062f\u0651\u0631\" \/>\n\t<meta name=\"twitter:data1\" content=\"3 \u062f\u0642\u0627\u0626\u0642\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":[\"WebPage\",\"webpage\"],\"@id\":\"https:\\\/\\\/certifeka-edu.com\\\/programs\\\/finance-for-strategic-managers-finance-professional-certificate\\\/lessons\\\/lesson-5-annuity-due\\\/\",\"url\":\"https:\\\/\\\/certifeka-edu.com\\\/programs\\\/finance-for-strategic-managers-finance-professional-certificate\\\/lessons\\\/lesson-5-annuity-due\\\/\",\"name\":\"Lesson 5: Annuity due - Certifeka-edu\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/certifeka-edu.com\\\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\\\/\\\/certifeka-edu.com\\\/programs\\\/finance-for-strategic-managers-finance-professional-certificate\\\/lessons\\\/lesson-5-annuity-due\\\/#primaryimage\"},\"image\":{\"@id\":\"https:\\\/\\\/certifeka-edu.com\\\/programs\\\/finance-for-strategic-managers-finance-professional-certificate\\\/lessons\\\/lesson-5-annuity-due\\\/#primaryimage\"},\"thumbnailUrl\":\"https:\\\/\\\/certifeka-edu.com\\\/wp-content\\\/uploads\\\/2025\\\/04\\\/logos-png-01-296x57-1.png\",\"datePublished\":\"2025-08-02T13:15:57+00:00\",\"dateModified\":\"2025-08-03T16:20:35+00:00\",\"breadcrumb\":{\"@id\":\"https:\\\/\\\/certifeka-edu.com\\\/programs\\\/finance-for-strategic-managers-finance-professional-certificate\\\/lessons\\\/lesson-5-annuity-due\\\/#breadcrumb\"},\"inLanguage\":\"ar\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\\\/\\\/certifeka-edu.com\\\/programs\\\/finance-for-strategic-managers-finance-professional-certificate\\\/lessons\\\/lesson-5-annuity-due\\\/\"]}]},{\"@type\":\"ImageObject\",\"inLanguage\":\"ar\",\"@id\":\"https:\\\/\\\/certifeka-edu.com\\\/programs\\\/finance-for-strategic-managers-finance-professional-certificate\\\/lessons\\\/lesson-5-annuity-due\\\/#primaryimage\",\"url\":\"https:\\\/\\\/certifeka-edu.com\\\/wp-content\\\/uploads\\\/2025\\\/04\\\/logos-png-01-296x57-1.png\",\"contentUrl\":\"https:\\\/\\\/certifeka-edu.com\\\/wp-content\\\/uploads\\\/2025\\\/04\\\/logos-png-01-296x57-1.png\"},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\\\/\\\/certifeka-edu.com\\\/programs\\\/finance-for-strategic-managers-finance-professional-certificate\\\/lessons\\\/lesson-5-annuity-due\\\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"home\",\"item\":\"https:\\\/\\\/certifeka-edu.com\\\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Lessons\",\"item\":\"https:\\\/\\\/certifeka-edu.com\\\/lesson\\\/\"},{\"@type\":\"ListItem\",\"position\":3,\"name\":\"Lesson 5: Annuity due\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\\\/\\\/certifeka-edu.com\\\/#website\",\"url\":\"https:\\\/\\\/certifeka-edu.com\\\/\",\"name\":\"certifeka\",\"description\":\"\",\"publisher\":{\"@id\":\"https:\\\/\\\/certifeka-edu.com\\\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\\\/\\\/certifeka-edu.com\\\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"ar\"},{\"@type\":\"Organization\",\"@id\":\"https:\\\/\\\/certifeka-edu.com\\\/#organization\",\"name\":\"certifeka\",\"url\":\"https:\\\/\\\/certifeka-edu.com\\\/\",\"logo\":{\"@type\":\"ImageObject\",\"inLanguage\":\"ar\",\"@id\":\"https:\\\/\\\/certifeka-edu.com\\\/#\\\/schema\\\/logo\\\/image\\\/\",\"url\":\"https:\\\/\\\/certifeka-edu.com\\\/wp-content\\\/uploads\\\/2025\\\/03\\\/cropped-certifeka-removebg-preview.png\",\"contentUrl\":\"https:\\\/\\\/certifeka-edu.com\\\/wp-content\\\/uploads\\\/2025\\\/03\\\/cropped-certifeka-removebg-preview.png\",\"width\":366,\"height\":104,\"caption\":\"certifeka\"},\"image\":{\"@id\":\"https:\\\/\\\/certifeka-edu.com\\\/#\\\/schema\\\/logo\\\/image\\\/\"}}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Lesson 5: Annuity due - Certifeka-edu","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/certifeka-edu.com\/ar\/programs\/finance-for-strategic-managers-finance-professional-certificate\/lessons\/lesson-5-annuity-due\/","og_locale":"ar_AR","og_type":"article","og_title":"Lesson 5: Annuity due - Certifeka-edu","og_description":"Lesson 5 Due annuities time value Annuity due We now turn our attention to annuities due. Remember that the cash flows of an annuity due occur at the start of the period. In other words, if we are dealing with annual payments, each payment in an annuity due comes one year earlier than it would [&hellip;]","og_url":"https:\/\/certifeka-edu.com\/ar\/programs\/finance-for-strategic-managers-finance-professional-certificate\/lessons\/lesson-5-annuity-due\/","og_site_name":"Certifeka-edu","article_modified_time":"2025-08-03T16:20:35+00:00","og_image":[{"url":"https:\/\/certifeka-edu.com\/wp-content\/uploads\/2025\/04\/logos-png-01-296x57-1.png","type":"","width":"","height":""}],"twitter_card":"summary_large_image","twitter_misc":{"\u0648\u0642\u062a \u0627\u0644\u0642\u0631\u0627\u0621\u0629 \u0627\u0644\u0645\u064f\u0642\u062f\u0651\u0631":"3 \u062f\u0642\u0627\u0626\u0642"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":["WebPage","webpage"],"@id":"https:\/\/certifeka-edu.com\/programs\/finance-for-strategic-managers-finance-professional-certificate\/lessons\/lesson-5-annuity-due\/","url":"https:\/\/certifeka-edu.com\/programs\/finance-for-strategic-managers-finance-professional-certificate\/lessons\/lesson-5-annuity-due\/","name":"Lesson 5: Annuity due - Certifeka-edu","isPartOf":{"@id":"https:\/\/certifeka-edu.com\/#website"},"primaryImageOfPage":{"@id":"https:\/\/certifeka-edu.com\/programs\/finance-for-strategic-managers-finance-professional-certificate\/lessons\/lesson-5-annuity-due\/#primaryimage"},"image":{"@id":"https:\/\/certifeka-edu.com\/programs\/finance-for-strategic-managers-finance-professional-certificate\/lessons\/lesson-5-annuity-due\/#primaryimage"},"thumbnailUrl":"https:\/\/certifeka-edu.com\/wp-content\/uploads\/2025\/04\/logos-png-01-296x57-1.png","datePublished":"2025-08-02T13:15:57+00:00","dateModified":"2025-08-03T16:20:35+00:00","breadcrumb":{"@id":"https:\/\/certifeka-edu.com\/programs\/finance-for-strategic-managers-finance-professional-certificate\/lessons\/lesson-5-annuity-due\/#breadcrumb"},"inLanguage":"ar","potentialAction":[{"@type":"ReadAction","target":["https:\/\/certifeka-edu.com\/programs\/finance-for-strategic-managers-finance-professional-certificate\/lessons\/lesson-5-annuity-due\/"]}]},{"@type":"ImageObject","inLanguage":"ar","@id":"https:\/\/certifeka-edu.com\/programs\/finance-for-strategic-managers-finance-professional-certificate\/lessons\/lesson-5-annuity-due\/#primaryimage","url":"https:\/\/certifeka-edu.com\/wp-content\/uploads\/2025\/04\/logos-png-01-296x57-1.png","contentUrl":"https:\/\/certifeka-edu.com\/wp-content\/uploads\/2025\/04\/logos-png-01-296x57-1.png"},{"@type":"BreadcrumbList","@id":"https:\/\/certifeka-edu.com\/programs\/finance-for-strategic-managers-finance-professional-certificate\/lessons\/lesson-5-annuity-due\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"home","item":"https:\/\/certifeka-edu.com\/"},{"@type":"ListItem","position":2,"name":"Lessons","item":"https:\/\/certifeka-edu.com\/lesson\/"},{"@type":"ListItem","position":3,"name":"Lesson 5: Annuity due"}]},{"@type":"WebSite","@id":"https:\/\/certifeka-edu.com\/#website","url":"https:\/\/certifeka-edu.com\/","name":"certifeka","description":"","publisher":{"@id":"https:\/\/certifeka-edu.com\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/certifeka-edu.com\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"ar"},{"@type":"Organization","@id":"https:\/\/certifeka-edu.com\/#organization","name":"certifeka","url":"https:\/\/certifeka-edu.com\/","logo":{"@type":"ImageObject","inLanguage":"ar","@id":"https:\/\/certifeka-edu.com\/#\/schema\/logo\/image\/","url":"https:\/\/certifeka-edu.com\/wp-content\/uploads\/2025\/03\/cropped-certifeka-removebg-preview.png","contentUrl":"https:\/\/certifeka-edu.com\/wp-content\/uploads\/2025\/03\/cropped-certifeka-removebg-preview.png","width":366,"height":104,"caption":"certifeka"},"image":{"@id":"https:\/\/certifeka-edu.com\/#\/schema\/logo\/image\/"}}]}},"_links":{"self":[{"href":"https:\/\/certifeka-edu.com\/ar\/wp-json\/wp\/v2\/lesson\/21816","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/certifeka-edu.com\/ar\/wp-json\/wp\/v2\/lesson"}],"about":[{"href":"https:\/\/certifeka-edu.com\/ar\/wp-json\/wp\/v2\/types\/lesson"}],"replies":[{"embeddable":true,"href":"https:\/\/certifeka-edu.com\/ar\/wp-json\/wp\/v2\/comments?post=21816"}],"version-history":[{"count":0,"href":"https:\/\/certifeka-edu.com\/ar\/wp-json\/wp\/v2\/lesson\/21816\/revisions"}],"wp:attachment":[{"href":"https:\/\/certifeka-edu.com\/ar\/wp-json\/wp\/v2\/media?parent=21816"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}