{"id":27458,"date":"2025-06-19T23:03:36","date_gmt":"2025-06-19T23:03:36","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=27458"},"modified":"2025-06-19T23:03:41","modified_gmt":"2025-06-19T23:03:41","slug":"the-present-value-of-a-future-payment-is-always-greater-than-the-payment","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/the-present-value-of-a-future-payment-is-always-greater-than-the-payment\/","title":{"rendered":"The present value of a future payment is always greater than the payment"},"content":{"rendered":"\n<p>The present value of a future payment is always greater than the payment. true false<\/p>\n\n\n\n<p><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\"><strong>The correct answer and explanation is:<\/strong><\/mark><\/p>\n\n\n\n<p><strong>Correct Answer: False<\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation:<\/h3>\n\n\n\n<p>The <strong>present value (PV)<\/strong> of a future payment refers to how much that future sum of money is worth <strong>today<\/strong>, given a specific interest or discount rate. In most realistic economic scenarios, <strong>money today is worth more than the same amount in the future<\/strong>, due to inflation, opportunity cost, and risk factors. Therefore, the present value of a future payment is <strong>usually less than<\/strong> the actual payment amount to be received in the future.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Why Is This False?<\/h3>\n\n\n\n<p>Suppose someone offers you $1,000 to be paid 2 years from now. You would ask, <em>&#8220;How much is that $1,000 worth today?&#8221;<\/em> To find out, you&#8217;d calculate the <strong>present value<\/strong> using a formula such as: PV=FV(1+r)nPV = \\frac{FV}{(1 + r)^n}<\/p>\n\n\n\n<p>Where:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>FV<\/strong> = future value (e.g., $1,000)<\/li>\n\n\n\n<li><strong>r<\/strong> = annual interest or discount rate (e.g., 5% or 0.05)<\/li>\n\n\n\n<li><strong>n<\/strong> = number of years into the future (e.g., 2)<\/li>\n<\/ul>\n\n\n\n<p>So if: PV=1000(1+0.05)2=10001.1025\u2248907.03PV = \\frac{1000}{(1 + 0.05)^2} = \\frac{1000}{1.1025} \\approx 907.03<\/p>\n\n\n\n<p>This means that <strong>$1,000 in two years is only worth about $907 today<\/strong> at a 5% discount rate. The longer the time or the higher the interest rate, the <strong>lower<\/strong> the present value.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Exceptions?<\/h3>\n\n\n\n<p>The only time when present value could <strong>equal<\/strong> the future payment is if the discount rate is <strong>zero<\/strong> (0%), meaning there is no time value of money. In that rare theoretical case, the present value <strong>equals<\/strong> the future value\u2014but still not greater.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Conclusion:<\/h3>\n\n\n\n<p>Since the present value is calculated by discounting future cash flows, it is <strong>not greater than<\/strong> the future payment. Therefore, the statement is <strong>false<\/strong>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The present value of a future payment is always greater than the payment. true false The correct answer and explanation is: Correct Answer: False Explanation: The present value (PV) of a future payment refers to how much that future sum of money is worth today, given a specific interest or discount rate. In most realistic [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-27458","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/27458","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/comments?post=27458"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/27458\/revisions"}],"predecessor-version":[{"id":27459,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/27458\/revisions\/27459"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=27458"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=27458"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=27458"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}