{"id":7913,"date":"2022-05-11T14:28:16","date_gmt":"2022-05-11T08:58:16","guid":{"rendered":"https:\/\/www.goseeko.com\/blog\/?p=7913"},"modified":"2025-06-02T20:45:57","modified_gmt":"2025-06-02T15:15:57","slug":"what-is-the-present-value","status":"publish","type":"post","link":"https:\/\/www.goseeko.com\/blog\/what-is-the-present-value\/","title":{"rendered":"What is the present value?"},"content":{"rendered":"\n<p><a href=\"https:\/\/www.investopedia.com\/terms\/p\/presentvalue.asp\" target=\"_blank\" rel=\"noreferrer noopener\">Present value<\/a>(PV) of a given sum due at the end of a given period is that sum which together with its interest of the given period equals to the given sum.<\/p>\n\n\n\n<p>Or in other words \u201cPV describes how much a future sum of money is worth today\u201d.<\/p>\n\n\n\n<p>Let the objective is to have an amount A after<\/p>\n\n\n\n<p>nyears from today<em>. <\/em>If the interest rate is \u2018i\u2019, then the amount is required to deposited now<\/p>\n\n\n\n<p>so as to achieve the set target is-<\/p>\n\n\n\n<figure class=\"wp-block-image is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/lh5.googleusercontent.com\/pQP0NUNvfj3ftrOG3P7j94PUzI7C3I0Mwk51eeNVuKsWea4FDYb4MlqGz31sKacvJRrA4zUSU9bwkNbZn76CQnxRIBJKOvYb7ywTMGero9VfxqYJA1lp1vO-G8ldl79PmRhWenIZ6orhgwgjHQ\" alt=\"\" width=\"84\" height=\"20\" \/><\/figure>\n\n\n\n<p>Which is called the PV of A.<\/p>\n\n\n\n<p>Note-<\/p>\n\n\n\n<p>1. \u00a0 \u00a0 Sum due = PV + Interest on present value<\/p>\n\n\n\n<figure class=\"wp-block-image is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/lh3.googleusercontent.com\/bMinsGXSULdXeF9j13gYd1fWW5A10Djafq1CwIGfvhn0tLUqc32Ge5Y7-sFiCI4SU82KoGK-o97MCIQSLwo31u1TC_p5pXOGqXupBqozTtkdf1Vw14a3SKmg_DcMSshBJH3MDbjcfmj8NxPXlA\" alt=\"\" width=\"241\" height=\"25\" \/><\/figure>\n\n\n\n<p><strong>Present value (Continuous compounding)-<\/strong><\/p>\n\n\n\n<p>We use the following formula if there is continuous compounding-<\/p>\n\n\n\n<figure class=\"wp-block-image is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/lh5.googleusercontent.com\/of8c5xLFL9ABElKVcal-3ZwuKw6TvHnVZADhiE6vbV5XcbDv8hABX3TxkIoLnoiseUnsBmgyvX3nDbRcfWp_IdX27YlRGEk9XCt0C0r4Coh-zDbO1Ur03mCEf3pg1xVeH-v0r36u3mzA1xmUfA\" alt=\"\" width=\"71\" height=\"23\" \/><\/figure>\n\n\n\n<p>Where-<\/p>\n\n\n\n<p>P = principal amount<\/p>\n\n\n\n<p>A = Amount at future point of time<\/p>\n\n\n\n<p>t = time<\/p>\n\n\n\n<p>r = rate of interest<\/p>\n\n\n\n<p><strong>Example: Find out the present value of Rs. 1000 due in 2 years at 5% per annum compound interest, If the interest is paid yearly.<\/strong><\/p>\n\n\n\n<p>Sol.<\/p>\n\n\n\n<p>Here, A = 1000, n = 2, i = 0.05<\/p>\n\n\n\n<p>We have to find P-<\/p>\n\n\n\n<p>By the formula-<\/p>\n\n\n\n<figure class=\"wp-block-image is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/lh6.googleusercontent.com\/k_leCgKSsNrsTVNe-BJRYT-Wc9eH51O0PVhrzGksttnu-LgpvVWUqImHIOXWtWdkfLGdSxxxwd9zE5E4uLyX8ibBVPRhEpbovmFclij228ThxsC8iikN3pZdZ_50r4BTeBZf90l9tnVK0boRQQ\" alt=\"\" width=\"142\" height=\"129\" \/><\/figure>\n\n\n\n<p>Therefore the PV is Rs.907.03.<\/p>\n\n\n\n<p><strong>Example: Find the<\/strong> PV <strong>of Rs. 4,500 due after 3 years from now. the interest is compounded continuously at the interest rate of 6%.<\/strong><\/p>\n\n\n\n<p>Sol.<\/p>\n\n\n\n<p>Here we have- A = 4500, t = 3, r = 0.06,<\/p>\n\n\n\n<p>To find P,<\/p>\n\n\n\n<figure class=\"wp-block-image is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/lh3.googleusercontent.com\/YbGmxac-LhIRQzM0t_3dWw3XCrGABEZPeWJZNbmPUliU0MxKmfRC-Q9XYB55Z9UbwHhCXBqF-FynWK7ARaSAhlsiTiflKL_cD2lOYkPSL79kBHwtXSx4zycErDiTd2SyJVFeQLuT-GI7VxG6Pw\" alt=\"\" width=\"131\" height=\"134\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Present value(PV) of a given sum due at the end of a given period is that sum which together with its interest&hellip;<\/p>\n","protected":false},"author":3,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[1],"tags":[],"class_list":["post-7913","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v25.3.1 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>What is the present value? 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