{"id":8615,"date":"2024-04-15T03:03:29","date_gmt":"2024-04-15T03:03:29","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=8615"},"modified":"2024-04-15T03:03:29","modified_gmt":"2024-04-15T03:03:29","slug":"what-is-the-factor-name-of-the-formula-left-fractextileft-1-texti-righttextnleft-1-texti-righttextn-1-right-a-unif","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/what-is-the-factor-name-of-the-formula-left-fractextileft-1-texti-righttextnleft-1-texti-righttextn-1-right-a-unif\/","title":{"rendered":"What is the factor name of the formula $$\\left[ {\\frac{{{\\text{i}}{{\\left( {1 + {\\text{i}}} \\right)}^{\\text{n}}}}}{{{{\\left( {1 + {\\text{i}}} \\right)}^{\\text{n}}} &#8211; 1}}} \\right]?$$ A. Uniform series sinking fund B. Capital recovery C. Single payment present worth D. Uniform gradient future worth"},"content":{"rendered":"<p>\r\n    <!-- Check if it's an AMP page -->\r\n            <!-- Non-AMP version -->\r\n        <div class=\"mcq-container\" data-quiz-id=\"quizState_6a9d836c6aa6a\">\r\n                                            <div class=\"option\" data-option-key=\"option1\" data-is-correct=\"true\">\r\n                    Uniform series sinking fund                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option2\" data-is-correct=\"false\">\r\n                    Capital recovery                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option3\" data-is-correct=\"false\">\r\n                    Single payment present worth                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option4\" data-is-correct=\"false\">\r\n                    Uniform gradient future worth                <\/div>\r\n                            \r\n            <!-- Feedback messages for non-AMP -->\r\n            <div class=\"feedback\" data-feedback=\"wrong\">Answer is Right!<\/div>\r\n            <div class=\"feedback\" data-feedback=\"right\">Answer is Wrong!<\/div>\r\n        <\/div>\r\n\r\n        <script>\r\n        document.addEventListener('DOMContentLoaded', function () {\r\n            var containers = document.querySelectorAll('.mcq-container');\r\n\r\n            containers.forEach(function(container) {\r\n                var options = container.querySelectorAll('.option');\r\n                var feedbackSelect = container.querySelector('[data-feedback=\"select\"]');\r\n                var feedbackWrong = container.querySelector('[data-feedback=\"wrong\"]');\r\n                var feedbackRight = container.querySelector('[data-feedback=\"right\"]');\r\n\r\n                options.forEach(function(option) {\r\n                    option.addEventListener('click', function() {\r\n                        var selectedOption = option.getAttribute('data-option-key');\r\n                        var isCorrect = option.getAttribute('data-is-correct') === 'true';\r\n\r\n                        \/\/ Remove previous selections\r\n                        options.forEach(function(opt) {\r\n                            opt.classList.remove('correct', 'incorrect');\r\n                        });\r\n\r\n                        \/\/ Add the correct\/incorrect class\r\n                        if (isCorrect) {\r\n                            option.classList.add('correct');\r\n                            feedbackRight.hidden = false;\r\n                            feedbackWrong.hidden = true;\r\n                        } else {\r\n                            option.classList.add('incorrect');\r\n                            feedbackRight.hidden = true;\r\n                            feedbackWrong.hidden = false;\r\n                        }\r\n\r\n                        \/\/ Hide select feedback\r\n                        feedbackSelect.hidden = true;\r\n                    });\r\n                });\r\n            });\r\n        });\r\n        <\/script>\r\n    \r\n    <!--more--><\/p>\n<p>The correct answer is: <strong>Uniform series sinking fund factor.<\/strong><\/p>\n<p>A sinking fund is a fund that is set aside to pay off a debt or liability. The uniform series sinking fund factor is used to calculate the amount of money that needs to be deposited into the sinking fund each period in order to have enough money to pay off the debt or liability at the end of the term.<\/p>\n<p>The formula for the uniform series sinking fund factor is:<\/p>\n<p>$$\\frac{{{\\text{i}}{{\\left( {1 + {\\text{i}}} \\right)}^{\\text{n}}}}}{{{{\\left( {1 + {\\text{i}}} \\right)}^{\\text{n}}} &#8211; 1}}}$$<\/p>\n<p>where:<\/p>\n<ul>\n<li>i = the interest rate<\/li>\n<li>n = the number of periods<\/li>\n<\/ul>\n<p>The uniform series sinking fund factor can be used to calculate the amount of money that needs to be deposited into a sinking fund each period to pay off a debt or liability. For example, if you have a debt of $10,000 that you want to pay off in 5 years at an interest rate of 5%, you would need to deposit $2,089.44 each year into a sinking fund to have enough money to pay off the debt at the end of the term.<\/p>\n<p>The other options are incorrect because they do not describe the formula that is given in the question.<\/p>\n<ul>\n<li>Capital recovery factor: The capital recovery factor is used to calculate the amount of money that <div class=\"youtube-subscribe-container\">\r\n        <a href=\"https:\/\/www.youtube.com\/channel\/UCNHT8lW-JmLC68rjBfZhdkg?sub_confirmation=1\" target=\"_blank\" class=\"youtube-subscribe-button\">\r\n            <span class=\"youtube-icon\">\r\n                <svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" viewBox=\"0 0 576 512\">\r\n                    <path d=\"M549.7 124.1c-6.3-23.7-24.8-42.3-48.3-48.6C458.8 64 288 64 288 64S117.2 64 74.6 <div class=\"telegram-channel-container\">\r\n        <a href=\"https:\/\/t.me\/pscnotes2025\" target=\"_blank\" class=\"telegram-channel-button\">\r\n            <span class=\"telegram-icon\">\r\n                <svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" viewBox=\"0 0 496 512\">\r\n                    <path fill=\"white\" d=\"M248,8C111,8,0,119,0,256s111,248,248,248s248-111,248-248S385,8,248,8z M362,177L320,367c-3,14-10,18-20,14l-56-41l-27,26 c-3,3-5,5-10,5l4-63L323,196c5-5-1-7-8-3l-98,62l-42-13c-9-3-10-9,2-14l162-63C351,160,365,164,362,177z\"\/>\r\n                <\/svg>\r\n            <\/span>\r\n            Join Our Telegram Channel\r\n        <\/a>\r\n    <\/div> 75.5c-23.5 6.3-42 24.9-48.3 48.6-11.4 42.9-11.4 132.3-11.4 132.3s0 89.4 11.4 132.3c6.3 23.7 24.8 41.5 48.3 47.8C117.2 448 288 448 288 448s170.8 0 213.4-11.5c23.5-6.3 42-24.2 48.3-47.8 11.4-42.9 11.4-132.3 11.4-132.3s0-89.4-11.4-132.3zm-317.5 213.5V175.2l142.7 81.2-142.7 81.2z\"\/>\r\n                <\/svg>\r\n            <\/span>\r\n            Subscribe on YouTube\r\n        <\/a>\r\n    <\/div> needs to be paid each period to recover the cost of an asset over its lifetime.<\/li>\n<li>Single payment present worth factor: The single payment present worth factor is used to calculate the present value of a single payment that will be received in the future.<\/li>\n<li>Uniform gradient future worth factor: The uniform gradient future worth factor is used to calculate the future value of a series of equal payments that are made at regular intervals over a period of time.<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Join Our Telegram Channel Subscribe on YouTube<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[656],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v22.2 (Yoast SEO v23.3) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>What is the factor name of the formula $$\\left[ {\\frac{{{\\text{i}}{{\\left( {1 + {\\text{i}}} \\right)}^{\\text{n}}}}}{{{{\\left( {1 + {\\text{i}}} \\right)}^{\\text{n}}} - 1}}} \\right]?$$ A. 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