{"id":31850,"date":"2025-09-04T23:17:53","date_gmt":"2025-09-04T23:17:53","guid":{"rendered":"https:\/\/certifeka-edu.com\/programs\/finance-for-strategic-managers-finance-professional-certificate__trashed-2\/lessons\/lesson-6-future-value-of-a-mixed-streams-2\/"},"modified":"2025-09-04T23:17:53","modified_gmt":"2025-09-04T23:17:53","slug":"lesson-6-future-value-of-a-mixed-streams-2","status":"publish","type":"lesson","link":"https:\/\/certifeka-edu.com\/ar\/programs\/sample-course\/lessons\/lesson-6-future-value-of-a-mixed-streams-2\/","title":{"rendered":"Lesson 6: Future value of a mixed streams"},"content":{"rendered":"

\"\"\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/p>\n

Lesson 6: Mixed Stream’s Time Value
\n<\/h2>\n

Future value of a mixed streams
\n<\/h3>\n

\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\"\"\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/p>\n

Determining the future value of a mixed stream of cash flows is straightforward<\/h5>\n
We determine the future value of each cash flow at the specified future date and then add all the individual future values to find the total future value.<\/h5>\n

FV=CFn (1+r)n<\/h3>\n

Example
\n<\/h3>\n

Shrell Industries, a cabinet manufacturer, expects to receive the following mixed stream of cash flows and the end of each over the next 5 years from one of its small customers<\/h5>\n

\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\"\"\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/p>\n

If Shrell expects to earn 8% on its investments, how much will it accumulate by the end of year 5 if it immediately invests these cash flows when they are received.<\/h5>\n

\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\"\"\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/p>\n

table of the “Future value of mixed stream”.<\/h5>\n

\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\"\"<\/p>","protected":false},"comment_status":"open","ping_status":"closed","template":"","class_list":["post-31850","lesson","type-lesson","status-publish","hentry"],"yoast_head":"\nLesson 6: Future 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-future-value-of-a-mixed-streams-2\/\" \/>\n<meta property=\"og:locale\" content=\"ar_AR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Lesson 6: Future value of a mixed streams - Certifeka-edu\" \/>\n<meta property=\"og:description\" content=\"Lesson 6: Mixed Stream’s Time Value Future value of a mixed streams Determining the future value of a mixed stream of cash flows is straightforward We determine the future value of each cash flow at the specified future date and then add all the individual future values to find the total future value. FV=CFn (1+r)n […]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/certifeka-edu.com\/ar\/programs\/sample-course\/lessons\/lesson-6-future-value-of-a-mixed-streams-2\/\" \/>\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-6-future-value-of-a-mixed-streams-2\\\/\",\"url\":\"https:\\\/\\\/certifeka-edu.com\\\/programs\\\/sample-course\\\/lessons\\\/lesson-6-future-value-of-a-mixed-streams-2\\\/\",\"name\":\"Lesson 6: Future value of a mixed streams - Certifeka-edu\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/certifeka-edu.com\\\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\\\/\\\/certifeka-edu.com\\\/programs\\\/sample-course\\\/lessons\\\/lesson-6-future-value-of-a-mixed-streams-2\\\/#primaryimage\"},\"image\":{\"@id\":\"https:\\\/\\\/certifeka-edu.com\\\/programs\\\/sample-course\\\/lessons\\\/lesson-6-future-value-of-a-mixed-streams-2\\\/#primaryimage\"},\"thumbnailUrl\":\"https:\\\/\\\/certifeka-edu.com\\\/wp-content\\\/uploads\\\/2025\\\/04\\\/logos-png-01-296x57-1.png\",\"datePublished\":\"2025-09-04T23:17:53+00:00\",\"breadcrumb\":{\"@id\":\"https:\\\/\\\/certifeka-edu.com\\\/programs\\\/sample-course\\\/lessons\\\/lesson-6-future-value-of-a-mixed-streams-2\\\/#breadcrumb\"},\"inLanguage\":\"ar\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\\\/\\\/certifeka-edu.com\\\/programs\\\/sample-course\\\/lessons\\\/lesson-6-future-value-of-a-mixed-streams-2\\\/\"]}]},{\"@type\":\"ImageObject\",\"inLanguage\":\"ar\",\"@id\":\"https:\\\/\\\/certifeka-edu.com\\\/programs\\\/sample-course\\\/lessons\\\/lesson-6-future-value-of-a-mixed-streams-2\\\/#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\\\/sample-course\\\/lessons\\\/lesson-6-future-value-of-a-mixed-streams-2\\\/#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 6: Future value of a mixed streams\"}]},{\"@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 6: Future value of a mixed streams - 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\/sample-course\/lessons\/lesson-6-future-value-of-a-mixed-streams-2\/","og_locale":"ar_AR","og_type":"article","og_title":"Lesson 6: Future value of a mixed streams - Certifeka-edu","og_description":"Lesson 6: Mixed Stream’s Time Value Future value of a mixed streams Determining the future value of a mixed stream of cash flows is straightforward We determine the future value of each cash flow at the specified future date and then add all the individual future values to find the total future value. FV=CFn (1+r)n […]","og_url":"https:\/\/certifeka-edu.com\/ar\/programs\/sample-course\/lessons\/lesson-6-future-value-of-a-mixed-streams-2\/","og_site_name":"Certifeka-edu","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":"\u062f\u0642\u064a\u0642\u062a\u0627\u0646"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":["WebPage","webpage"],"@id":"https:\/\/certifeka-edu.com\/programs\/sample-course\/lessons\/lesson-6-future-value-of-a-mixed-streams-2\/","url":"https:\/\/certifeka-edu.com\/programs\/sample-course\/lessons\/lesson-6-future-value-of-a-mixed-streams-2\/","name":"Lesson 6: Future value of a mixed streams - Certifeka-edu","isPartOf":{"@id":"https:\/\/certifeka-edu.com\/#website"},"primaryImageOfPage":{"@id":"https:\/\/certifeka-edu.com\/programs\/sample-course\/lessons\/lesson-6-future-value-of-a-mixed-streams-2\/#primaryimage"},"image":{"@id":"https:\/\/certifeka-edu.com\/programs\/sample-course\/lessons\/lesson-6-future-value-of-a-mixed-streams-2\/#primaryimage"},"thumbnailUrl":"https:\/\/certifeka-edu.com\/wp-content\/uploads\/2025\/04\/logos-png-01-296x57-1.png","datePublished":"2025-09-04T23:17:53+00:00","breadcrumb":{"@id":"https:\/\/certifeka-edu.com\/programs\/sample-course\/lessons\/lesson-6-future-value-of-a-mixed-streams-2\/#breadcrumb"},"inLanguage":"ar","potentialAction":[{"@type":"ReadAction","target":["https:\/\/certifeka-edu.com\/programs\/sample-course\/lessons\/lesson-6-future-value-of-a-mixed-streams-2\/"]}]},{"@type":"ImageObject","inLanguage":"ar","@id":"https:\/\/certifeka-edu.com\/programs\/sample-course\/lessons\/lesson-6-future-value-of-a-mixed-streams-2\/#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\/sample-course\/lessons\/lesson-6-future-value-of-a-mixed-streams-2\/#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 6: Future value of a mixed streams"}]},{"@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\/31850","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=31850"}],"version-history":[{"count":0,"href":"https:\/\/certifeka-edu.com\/ar\/wp-json\/wp\/v2\/lesson\/31850\/revisions"}],"wp:attachment":[{"href":"https:\/\/certifeka-edu.com\/ar\/wp-json\/wp\/v2\/media?parent=31850"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}