{"id":21858,"date":"2025-08-02T13:24:06","date_gmt":"2025-08-02T13:24:06","guid":{"rendered":"https:\/\/certifeka-edu.com\/programs\/finance-for-strategic-managers-finance-professional-certificate\/lessons\/lesson-8-special-applications-of-the-time-value-index\/"},"modified":"2025-08-03T18:50:07","modified_gmt":"2025-08-03T18:50:07","slug":"lesson-8-determining-deposits-needed-to-accumulate-a-future-sum","status":"publish","type":"lesson","link":"https:\/\/certifeka-edu.com\/ar\/programs\/finance-for-strategic-managers-finance-professional-certificate\/lessons\/lesson-8-determining-deposits-needed-to-accumulate-a-future-sum\/","title":{"rendered":"Lesson 8: Determining deposits needed to accumulate a future sum"},"content":{"rendered":"<div data-elementor-type=\"wp-post\" data-elementor-id=\"21858\" class=\"elementor elementor-21858\" wpc-filter-elementor-widget=\"1\">\n\t\t\t\t<div class=\"elementor-element elementor-element-7ee9bf8 e-con-full e-flex e-con e-parent\" data-id=\"7ee9bf8\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t<div class=\"elementor-element elementor-element-c6df6e0 e-con-full e-flex e-con e-child\" data-id=\"c6df6e0\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t\t\t<div class=\"elementor-element elementor-element-0569c37 exad-sticky-section-no exad-glass-effect-no elementor-widget elementor-widget-image\" data-id=\"0569c37\" 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-4327b50 e-con-full e-flex e-con e-child\" data-id=\"4327b50\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t\t\t<div class=\"elementor-element elementor-element-8662478 exad-sticky-section-no exad-glass-effect-no elementor-widget elementor-widget-heading\" data-id=\"8662478\" 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 8: Special Applications of the 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-08537d8 e-flex e-con-boxed e-con e-parent\" data-id=\"08537d8\" 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-39c294f exad-sticky-section-no exad-glass-effect-no elementor-widget elementor-widget-heading\" data-id=\"39c294f\" 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\">Determining deposits needed to accumulate a future sum\n\n<\/h3>\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<div class=\"elementor-element elementor-element-51e8419 e-flex e-con-boxed e-con e-parent\" data-id=\"51e8419\" 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-9756f1e exad-sticky-section-no exad-glass-effect-no elementor-widget elementor-widget-text-editor\" data-id=\"9756f1e\" 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;\">Calculate the deposit amount needed to reach a specific future sum such as a home or automobile down payment.<\/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-60b7838 exad-sticky-section-no exad-glass-effect-no elementor-widget elementor-widget-text-editor\" data-id=\"60b7838\" 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 &#8220;deposit needed for a future sum&#8221; simulation will calculate the deposit amount you need to make in order to meet your financial goal.<\/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-c1629bb exad-sticky-section-no exad-glass-effect-no elementor-widget elementor-widget-text-editor\" data-id=\"c1629bb\" 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;\">It can be used to calculate how much you should save in order to meet your future retirement needs or to help you determine how much you need to regularly save in order to make a down payment on a house or car.<\/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-a782447 exad-sticky-section-no exad-glass-effect-no elementor-widget elementor-widget-heading\" data-id=\"a782447\" 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\">Example\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-d376431 exad-sticky-section-no exad-glass-effect-no elementor-widget elementor-widget-text-editor\" data-id=\"d376431\" 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;\">Suppose you want to buy a house 5 years from now, and you estimate that an initial down payment of $30,000 will be required at that time.<\/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-71385c0 exad-sticky-section-no exad-glass-effect-no elementor-widget elementor-widget-image\" data-id=\"71385c0\" 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=\"466\" height=\"128\" src=\"https:\/\/certifeka-edu.com\/wp-content\/uploads\/2025\/08\/img1-1.png\" class=\"attachment-large size-large wp-image-22554\" alt=\"\" srcset=\"https:\/\/certifeka-edu.com\/wp-content\/uploads\/2025\/08\/img1-1.png 466w, https:\/\/certifeka-edu.com\/wp-content\/uploads\/2025\/08\/img1-1-300x82.png 300w, https:\/\/certifeka-edu.com\/wp-content\/uploads\/2025\/08\/img1-1-18x5.png 18w, https:\/\/certifeka-edu.com\/wp-content\/uploads\/2025\/08\/img1-1-182x50.png 182w\" sizes=\"(max-width: 466px) 100vw, 466px\" \/>\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-8c6f7c5 exad-sticky-section-no exad-glass-effect-no elementor-widget elementor-widget-text-editor\" data-id=\"8c6f7c5\" 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;\">To accumulate the $30,000, you will wish to make equal annual end-of-year deposits into an account paying an annual interest of 6 %<\/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-736ed79 exad-sticky-section-no exad-glass-effect-no elementor-widget elementor-widget-text-editor\" data-id=\"736ed79\" 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 the current problem, we know the future value we want to achieve, $30,000, but we want to solve for the annual cash payment that we&#8217;d have to save to achieve that goal.<\/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-43719cb exad-sticky-section-no exad-glass-effect-no elementor-widget elementor-widget-text-editor\" data-id=\"43719cb\" 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;\">Solving Equation 5.9 (FV of ordinary annuity) for CF gives the following:<\/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-7b87d19 exad-sticky-section-no exad-glass-effect-no elementor-widget elementor-widget-text-editor\" data-id=\"7b87d19\" 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;\">Spreadsheet Use In Excel, solving for the annual cash flow that helps you reach the $30,000 means using the payment function. Its syntax is PMT(rate, nper, pv, fv, type). All of the inputs in this function have been discussed previously.<\/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-10f595d exad-sticky-section-no exad-glass-effect-no elementor-widget elementor-widget-image\" data-id=\"10f595d\" 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=\"234\" src=\"https:\/\/certifeka-edu.com\/wp-content\/uploads\/2025\/08\/a3914a3d0202919415222689323ab9f1.png\" class=\"attachment-large size-large wp-image-22555\" alt=\"\" srcset=\"https:\/\/certifeka-edu.com\/wp-content\/uploads\/2025\/08\/a3914a3d0202919415222689323ab9f1.png 808w, https:\/\/certifeka-edu.com\/wp-content\/uploads\/2025\/08\/a3914a3d0202919415222689323ab9f1-600x212.png 600w, https:\/\/certifeka-edu.com\/wp-content\/uploads\/2025\/08\/a3914a3d0202919415222689323ab9f1-300x106.png 300w, https:\/\/certifeka-edu.com\/wp-content\/uploads\/2025\/08\/a3914a3d0202919415222689323ab9f1-768x272.png 768w, https:\/\/certifeka-edu.com\/wp-content\/uploads\/2025\/08\/a3914a3d0202919415222689323ab9f1-18x6.png 18w, https:\/\/certifeka-edu.com\/wp-content\/uploads\/2025\/08\/a3914a3d0202919415222689323ab9f1-141x50.png 141w\" 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-525edf9 exad-sticky-section-no exad-glass-effect-no elementor-widget elementor-widget-text-editor\" data-id=\"525edf9\" 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 Excel spreadsheet illustrates how to use this function to find the annual payment required to save $30,000.<\/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-21858","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: Determining deposits needed to accumulate a future sum - 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\/finance-for-strategic-managers-finance-professional-certificate\/lessons\/lesson-8-determining-deposits-needed-to-accumulate-a-future-sum\/\" \/>\n<meta property=\"og:locale\" content=\"ar_AR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Lesson 8: Determining deposits needed to accumulate a future sum - Certifeka-edu\" \/>\n<meta property=\"og:description\" content=\"Lesson 8: Special Applications of the time value Determining deposits needed to accumulate a future sum Calculate the deposit amount needed to reach a specific future sum such as a home or automobile down payment. 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