{"id":21821,"date":"2025-08-02T13:16:47","date_gmt":"2025-08-02T13:16:47","guid":{"rendered":"https:\/\/certifeka-edu.com\/programs\/finance-for-strategic-managers-finance-professional-certificate\/lessons\/lesson-5-calculate-the-present-value-of-the-annuity-due-on-financial-calculator-video\/"},"modified":"2025-08-03T17:45:21","modified_gmt":"2025-08-03T17:45:21","slug":"lesson-5-pv-of-annuity-due","status":"publish","type":"lesson","link":"https:\/\/certifeka-edu.com\/ar\/programs\/finance-for-strategic-managers-finance-professional-certificate\/lessons\/lesson-5-pv-of-annuity-due\/","title":{"rendered":"Lesson 5: PV of Annuity due"},"content":{"rendered":"<div data-elementor-type=\"wp-post\" data-elementor-id=\"21821\" class=\"elementor elementor-21821\" wpc-filter-elementor-widget=\"1\">\n\t\t\t\t<div class=\"elementor-element elementor-element-6c956cc e-con-full e-flex e-con e-parent\" data-id=\"6c956cc\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t<div class=\"elementor-element elementor-element-21c8144 e-con-full e-flex e-con e-child\" data-id=\"21c8144\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t\t\t<div class=\"elementor-element elementor-element-d6671d3 exad-sticky-section-no exad-glass-effect-no elementor-widget elementor-widget-image\" data-id=\"d6671d3\" 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-ea3f1c3 e-con-full e-flex e-con e-child\" data-id=\"ea3f1c3\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t\t\t<div class=\"elementor-element elementor-element-d53797d exad-sticky-section-no exad-glass-effect-no elementor-widget elementor-widget-heading\" data-id=\"d53797d\" 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-f88ff4d e-flex e-con-boxed e-con e-parent\" data-id=\"f88ff4d\" 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-85bd347 exad-sticky-section-no exad-glass-effect-no elementor-widget elementor-widget-heading\" data-id=\"85bd347\" 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\">PV of 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-6336f3c exad-sticky-section-no exad-glass-effect-no elementor-widget elementor-widget-image\" data-id=\"6336f3c\" 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-fc3f218 exad-sticky-section-no exad-glass-effect-no elementor-widget elementor-widget-text-editor\" data-id=\"fc3f218\" 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;\">Remember that for an annuity due the type input value must be set to 1, and we must also specify the PV input value as 0 since the inputs are in an ordered series<\/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-2c661d5 exad-sticky-section-no exad-glass-effect-no elementor-widget elementor-widget-heading\" data-id=\"2c661d5\" 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\">\"Finding the future value of a due annuity\"\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-eae8bae exad-sticky-section-no exad-glass-effect-no elementor-widget elementor-widget-image\" data-id=\"eae8bae\" 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=\"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-f70c916 exad-sticky-section-no exad-glass-effect-no elementor-widget elementor-widget-text-editor\" data-id=\"f70c916\" 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;\">Compare this to the previous equation, which shows how to calculate the future value of an ordinary annuity.<\/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-77502ef exad-sticky-section-no exad-glass-effect-no elementor-widget elementor-widget-text-editor\" data-id=\"77502ef\" 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;\">The two equations are nearly identical, but due equation has an added term (1+r) at the end<\/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-fa53dbd exad-sticky-section-no exad-glass-effect-no elementor-widget elementor-widget-text-editor\" data-id=\"fa53dbd\" 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;\">In other words, the value obtained from the due equation will be (1+r) times greater than the value in the ordinary equation, if the other inputs (CF and n) are the same, and that makes sense because all the payments in the annuity due earn one more years&#8217; worth of interest compared to the ordinary annuity.<\/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-21821","lesson","type-lesson","status-publish","hentry"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.5 - 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