{"id":47640,"date":"2025-11-19T14:06:55","date_gmt":"2025-11-19T14:06:55","guid":{"rendered":"https:\/\/certifeka-edu.com\/programs\/finance-for-strategic-managers-finance-professional-certificate-3\/lessons\/lesson-8-finding-interest-or-growth-rates-4\/"},"modified":"2025-11-19T14:06:55","modified_gmt":"2025-11-19T14:06:55","slug":"lesson-8-finding-interest-or-growth-rates-4","status":"publish","type":"lesson","link":"https:\/\/certifeka-edu.com\/ar\/programs\/sample-course\/lessons\/lesson-8-finding-interest-or-growth-rates-4\/","title":{"rendered":"Lesson 8: Finding interest OR growth rates"},"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 8: Special Applications of the time value<br \/>\n<\/h2>\n<h3>Finding interest OR growth rates<br \/>\n<\/h3>\n<h5>It is often necessary to calculate the compound annual interest or growth rate (that is, the annual rate of change in values) of a series of cash flows. Examples include finding the interest rate on a loan, the rate of growth in sales, and the rate of growth in earnings.<\/h5>\n<h5>It is often necessary to calculate the compound annual interest or growth rate (that is, the annual rate of change in values) of a series of cash flows. Examples include finding the interest rate on a loan, the rate of growth in sales, and the rate of growth in earnings.<\/h5>\n<p>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img decoding=\"async\" width=\"274\" height=\"82\" src=\"https:\/\/certifeka-edu.com\/wp-content\/uploads\/2025\/08\/5c8768c1a19a38bc065960c43a51c480.png\" alt=\"\" srcset=\"https:\/\/certifeka-edu.com\/wp-content\/uploads\/2025\/08\/5c8768c1a19a38bc065960c43a51c480.png 274w, https:\/\/certifeka-edu.com\/wp-content\/uploads\/2025\/08\/5c8768c1a19a38bc065960c43a51c480-18x5.png 18w, https:\/\/certifeka-edu.com\/wp-content\/uploads\/2025\/08\/5c8768c1a19a38bc065960c43a51c480-167x50.png 167w\" sizes=\"(max-width: 274px) 100vw, 274px\" \/><br \/>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img fetchpriority=\"high\" decoding=\"async\" width=\"660\" height=\"213\" src=\"https:\/\/certifeka-edu.com\/wp-content\/uploads\/2025\/08\/58d632226d89c292919a4523dedd3721.png\" alt=\"\" srcset=\"https:\/\/certifeka-edu.com\/wp-content\/uploads\/2025\/08\/58d632226d89c292919a4523dedd3721.png 754w, https:\/\/certifeka-edu.com\/wp-content\/uploads\/2025\/08\/58d632226d89c292919a4523dedd3721-300x97.png 300w, https:\/\/certifeka-edu.com\/wp-content\/uploads\/2025\/08\/58d632226d89c292919a4523dedd3721-18x6.png 18w, https:\/\/certifeka-edu.com\/wp-content\/uploads\/2025\/08\/58d632226d89c292919a4523dedd3721-600x193.png 600w, https:\/\/certifeka-edu.com\/wp-content\/uploads\/2025\/08\/58d632226d89c292919a4523dedd3721-155x50.png 155w\" sizes=\"(max-width: 660px) 100vw, 660px\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/p>\n<h5>Spreadsheet Use The amortization schedule, shown in Table 5.6, allocating each loan payment to interest and principal can be calculated precisely as shown on the second spreadsheet<\/h5>\n<p><iframe width=\"514\" height=\"289\" src=\"https:\/\/www.youtube.com\/embed\/Wq3xdSkAo0k\" title=\"L 8 17\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe>\t\t<\/p>\n<h3>Example<br \/>\n<\/h3>\n<h5>For example, Ray Noble purchased an investment four years ago for $1,250. Now it is worth $1,520. What compound annual rate of return has Ray earned on this investment? Plugging the appropriate values into:<\/h5>\n<h5>The interest or growth rate for the series of cash flows also can be calculated as shown on the following Excel spreadsheet:<\/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=\"206\" src=\"https:\/\/certifeka-edu.com\/wp-content\/uploads\/2025\/08\/a16e03fb879f5e6d9751e03966a446cf.png\" alt=\"\" srcset=\"https:\/\/certifeka-edu.com\/wp-content\/uploads\/2025\/08\/a16e03fb879f5e6d9751e03966a446cf.png 800w, https:\/\/certifeka-edu.com\/wp-content\/uploads\/2025\/08\/a16e03fb879f5e6d9751e03966a446cf-300x94.png 300w, https:\/\/certifeka-edu.com\/wp-content\/uploads\/2025\/08\/a16e03fb879f5e6d9751e03966a446cf-768x240.png 768w, https:\/\/certifeka-edu.com\/wp-content\/uploads\/2025\/08\/a16e03fb879f5e6d9751e03966a446cf-18x6.png 18w, https:\/\/certifeka-edu.com\/wp-content\/uploads\/2025\/08\/a16e03fb879f5e6d9751e03966a446cf-600x188.png 600w, https:\/\/certifeka-edu.com\/wp-content\/uploads\/2025\/08\/a16e03fb879f5e6d9751e03966a446cf-160x50.png 160w\" sizes=\"(max-width: 660px) 100vw, 660px\" \/><\/p>","protected":false},"comment_status":"open","ping_status":"closed","template":"","class_list":["post-47640","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 8: Finding interest OR growth rates - 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-8-finding-interest-or-growth-rates-4\/\" \/>\n<meta property=\"og:locale\" content=\"ar_AR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Lesson 8: Finding interest OR growth rates - Certifeka-edu\" \/>\n<meta property=\"og:description\" content=\"Lesson 8: Special Applications of the time value Finding interest OR growth rates It is often necessary to calculate the compound annual interest or growth rate (that is, the annual rate of change in values) of a series of cash flows. Examples include finding the interest rate on a loan, the rate of growth in [&hellip;]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/certifeka-edu.com\/ar\/programs\/sample-course\/lessons\/lesson-8-finding-interest-or-growth-rates-4\/\" \/>\n<meta property=\"og:site_name\" content=\"Certifeka-edu\" \/>\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=\"\u062f\u0642\u064a\u0642\u062a\u0627\u0646\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":[\"WebPage\",\"webpage\"],\"@id\":\"https:\\\/\\\/certifeka-edu.com\\\/programs\\\/sample-course\\\/lessons\\\/lesson-8-finding-interest-or-growth-rates-4\\\/\",\"url\":\"https:\\\/\\\/certifeka-edu.com\\\/programs\\\/sample-course\\\/lessons\\\/lesson-8-finding-interest-or-growth-rates-4\\\/\",\"name\":\"Lesson 8: Finding interest OR growth rates - 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