{"id":31841,"date":"2025-09-04T23:17:52","date_gmt":"2025-09-04T23:17:52","guid":{"rendered":"https:\/\/certifeka-edu.com\/programs\/finance-for-strategic-managers-finance-professional-certificate__trashed-2\/lessons\/lesson-5-annuity-due-2\/"},"modified":"2025-09-04T23:17:52","modified_gmt":"2025-09-04T23:17:52","slug":"lesson-5-annuity-due-2","status":"publish","type":"lesson","link":"https:\/\/certifeka-edu.com\/ar\/programs\/sample-course\/lessons\/lesson-5-annuity-due-2\/","title":{"rendered":"Lesson 5: Annuity due"},"content":{"rendered":"<p><img decoding=\"async\" width=\"96\" height=\"114\" src=\"https:\/\/certifeka-edu.com\/wp-content\/uploads\/2025\/04\/logos-png-01-296x57-1.png\" 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<\/p>\n<h2>Lesson 5 Due annuities time value<br \/>\n<\/h2>\n<h3>Annuity due<br \/>\n<\/h3>\n<p>\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\" alt=\"\" srcset=\"https:\/\/certifeka-edu.com\/wp-content\/uploads\/2025\/08\/2a657a8f5d7593be63388fc5508818e6.png 128w, 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<\/p>\n<h5>We now turn our attention to annuities due. Remember that the cash flows of an annuity due occur at the start of the period.<\/h5>\n<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>\n<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>\n<p>\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\" 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\/ab872f79a566149aa91c7df04458d540-1-300x92.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\/ab872f79a566149aa91c7df04458d540-1-600x183.jpg 600w, 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<\/p>\n<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>\n<p>\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\" alt=\"\" srcset=\"https:\/\/certifeka-edu.com\/wp-content\/uploads\/2025\/08\/25c66b3c743dc8773f97bd376df47374-1024x327.jpg 1024w, https:\/\/certifeka-edu.com\/wp-content\/uploads\/2025\/08\/25c66b3c743dc8773f97bd376df47374-300x96.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\/25c66b3c743dc8773f97bd376df47374-600x192.jpg 600w, 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<\/p>\n<h5>Finding the Future value of Annuity due<br \/>In this equation<\/h5>\n<h5>(r) represents the interest rate<\/h5>\n<h5>(n) represents the number of payments in the annuity.<\/h5>\n<h5>&#8220;The calculations required to find the future value of annuity due are illustrated in the following example&#8221;<br \/>PV of Annuity due Example<\/h5>\n<p>\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\" alt=\"\" srcset=\"https:\/\/certifeka-edu.com\/wp-content\/uploads\/2025\/08\/25c66b3c743dc8773f97bd376df47374-1024x327.jpg 1024w, https:\/\/certifeka-edu.com\/wp-content\/uploads\/2025\/08\/25c66b3c743dc8773f97bd376df47374-300x96.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\/25c66b3c743dc8773f97bd376df47374-600x192.jpg 600w, 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<\/p>\n<h5>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:<br \/>Answer from applying equation: $3018.49<\/h5>","protected":false},"comment_status":"open","ping_status":"closed","template":"","class_list":["post-31841","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\/sample-course\/lessons\/lesson-5-annuity-due-2\/\" \/>\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. 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