{"id":40059,"date":"2025-10-14T13:54:08","date_gmt":"2025-10-14T13:54:08","guid":{"rendered":"https:\/\/certifeka-edu.com\/programs\/finance-for-strategic-managers-finance-professional-certificate__trashed-2\/lessons\/lesson-6-present-value-of-a-mixed-streams-3\/"},"modified":"2025-10-14T13:54:08","modified_gmt":"2025-10-14T13:54:08","slug":"lesson-6-present-value-of-a-mixed-streams-3","status":"publish","type":"lesson","link":"https:\/\/certifeka-edu.com\/ar\/programs\/sample-course\/lessons\/lesson-6-present-value-of-a-mixed-streams-3\/","title":{"rendered":"Lesson 6: Present value of a mixed streams"},"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 6: Mixed Stream&#8217;s Time Value<br \/>\n<\/h2>\n<h3>Present value of a mixed streams<\/h3>\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=\"495\" src=\"https:\/\/certifeka-edu.com\/wp-content\/uploads\/2025\/08\/5e60707c5383791f830bc42f4b243034.png\" alt=\"\" srcset=\"https:\/\/certifeka-edu.com\/wp-content\/uploads\/2025\/08\/5e60707c5383791f830bc42f4b243034.png 1024w, https:\/\/certifeka-edu.com\/wp-content\/uploads\/2025\/08\/5e60707c5383791f830bc42f4b243034-300x225.png 300w, https:\/\/certifeka-edu.com\/wp-content\/uploads\/2025\/08\/5e60707c5383791f830bc42f4b243034-768x576.png 768w, https:\/\/certifeka-edu.com\/wp-content\/uploads\/2025\/08\/5e60707c5383791f830bc42f4b243034-16x12.png 16w, https:\/\/certifeka-edu.com\/wp-content\/uploads\/2025\/08\/5e60707c5383791f830bc42f4b243034-600x450.png 600w, https:\/\/certifeka-edu.com\/wp-content\/uploads\/2025\/08\/5e60707c5383791f830bc42f4b243034-67x50.png 67w\" 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 present value of a mixed stream of cash flows is similar to finding the future value of a mixed stream.<\/h5>\n<h5>We determine the present value of each future amount and then add all the individual present values together to find the total present value.<\/h5>\n<h3 style=\"text-align: center;\">PV =CFn\/(1+r)n<\/h3>\n<h3>Example<br \/>\n<\/h3>\n<h5>Frey Company, a shoe manufacturer, has been offered an opportunity to receive the following mixed stream of cash flows over the next 5 years<\/h5>\n<p>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img decoding=\"async\" width=\"424\" height=\"136\" src=\"https:\/\/certifeka-edu.com\/wp-content\/uploads\/2025\/08\/4bb50165c07976edb0ea53b51dd842ba.png\" alt=\"\" srcset=\"https:\/\/certifeka-edu.com\/wp-content\/uploads\/2025\/08\/4bb50165c07976edb0ea53b51dd842ba.png 424w, https:\/\/certifeka-edu.com\/wp-content\/uploads\/2025\/08\/4bb50165c07976edb0ea53b51dd842ba-300x96.png 300w, https:\/\/certifeka-edu.com\/wp-content\/uploads\/2025\/08\/4bb50165c07976edb0ea53b51dd842ba-18x6.png 18w, https:\/\/certifeka-edu.com\/wp-content\/uploads\/2025\/08\/4bb50165c07976edb0ea53b51dd842ba-156x50.png 156w\" sizes=\"(max-width: 424px) 100vw, 424px\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/p>\n<h5>If the firm must earn at least 9% on its investments, what are the most it should pay for this opportunity? This situation is depicted in the following timeline:<\/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=\"189\" src=\"https:\/\/certifeka-edu.com\/wp-content\/uploads\/2025\/08\/64eb0969e9345601b82407707ae95eb8.png\" alt=\"\" srcset=\"https:\/\/certifeka-edu.com\/wp-content\/uploads\/2025\/08\/64eb0969e9345601b82407707ae95eb8.png 784w, https:\/\/certifeka-edu.com\/wp-content\/uploads\/2025\/08\/64eb0969e9345601b82407707ae95eb8-300x86.png 300w, https:\/\/certifeka-edu.com\/wp-content\/uploads\/2025\/08\/64eb0969e9345601b82407707ae95eb8-768x219.png 768w, https:\/\/certifeka-edu.com\/wp-content\/uploads\/2025\/08\/64eb0969e9345601b82407707ae95eb8-18x5.png 18w, https:\/\/certifeka-edu.com\/wp-content\/uploads\/2025\/08\/64eb0969e9345601b82407707ae95eb8-600x171.png 600w, https:\/\/certifeka-edu.com\/wp-content\/uploads\/2025\/08\/64eb0969e9345601b82407707ae95eb8-175x50.png 175w\" sizes=\"(max-width: 660px) 100vw, 660px\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/p>\n<h5>table of the &#8220;Present value of mixed stream&#8221;.<\/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=\"155\" src=\"https:\/\/certifeka-edu.com\/wp-content\/uploads\/2025\/08\/bd55fe5659801937593ea08053d37ec9.png\" alt=\"\" srcset=\"https:\/\/certifeka-edu.com\/wp-content\/uploads\/2025\/08\/bd55fe5659801937593ea08053d37ec9.png 784w, https:\/\/certifeka-edu.com\/wp-content\/uploads\/2025\/08\/bd55fe5659801937593ea08053d37ec9-300x70.png 300w, https:\/\/certifeka-edu.com\/wp-content\/uploads\/2025\/08\/bd55fe5659801937593ea08053d37ec9-768x180.png 768w, https:\/\/certifeka-edu.com\/wp-content\/uploads\/2025\/08\/bd55fe5659801937593ea08053d37ec9-18x4.png 18w, https:\/\/certifeka-edu.com\/wp-content\/uploads\/2025\/08\/bd55fe5659801937593ea08053d37ec9-600x141.png 600w, https:\/\/certifeka-edu.com\/wp-content\/uploads\/2025\/08\/bd55fe5659801937593ea08053d37ec9-213x50.png 213w\" sizes=\"(max-width: 660px) 100vw, 660px\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/p>\n<h5>Add the graph demonstrating the table.<\/h5>","protected":false},"comment_status":"open","ping_status":"closed","template":"","class_list":["post-40059","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 6: Present value of a mixed streams - 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-6-present-value-of-a-mixed-streams-3\/\" \/>\n<meta property=\"og:locale\" content=\"ar_AR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Lesson 6: Present value of a mixed streams - Certifeka-edu\" \/>\n<meta property=\"og:description\" content=\"Lesson 6: Mixed Stream&#8217;s Time Value Present value of a mixed streams Finding the present value of a mixed stream of cash flows is similar to finding the future value of a mixed stream. 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