{"id":23525,"date":"2025-06-17T16:59:23","date_gmt":"2025-06-17T16:59:23","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=23525"},"modified":"2025-06-17T16:59:27","modified_gmt":"2025-06-17T16:59:27","slug":"if-the-net-present-value-npv-of-a-long-term-proposal-is-positive","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/if-the-net-present-value-npv-of-a-long-term-proposal-is-positive\/","title":{"rendered":"If the net present value (NPV) of a long term proposal is positive"},"content":{"rendered":"\n<p>If the net present value (NPV) of a long term proposal is positive, the internal rate of return is<\/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:<\/strong><\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p><strong>Greater than the required rate of return (or cost of capital).<\/strong><\/p>\n<\/blockquote>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Explanation:<\/strong><\/h3>\n\n\n\n<p><strong>Net Present Value (NPV)<\/strong> and <strong>Internal Rate of Return (IRR)<\/strong> are two major tools used in capital budgeting to evaluate the profitability of long-term investments and projects.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Understanding NPV and IRR:<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Net Present Value (NPV)<\/strong> calculates the difference between the present value of cash inflows and the present value of cash outflows over time. It considers the <strong>time value of money<\/strong> and uses a <strong>discount rate<\/strong> (usually the company&#8217;s required rate of return or cost of capital).<\/li>\n\n\n\n<li><strong>Internal Rate of Return (IRR)<\/strong> is the discount rate that makes the <strong>NPV equal to zero<\/strong>. In other words, it is the rate at which the present value of inflows equals the present value of outflows.<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Relationship Between NPV and IRR:<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>If the <strong>NPV is positive<\/strong>, it means the investment\u2019s return <strong>exceeds<\/strong> the discount rate (cost of capital).<\/li>\n\n\n\n<li>Therefore, the <strong>IRR must be greater than the required rate of return<\/strong>. That\u2019s because at a higher rate (the IRR), the project would break even (NPV = 0), but at the lower rate (the cost of capital), the present value of inflows exceeds outflows, resulting in a positive NPV.<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Key Takeaway:<\/strong><\/h3>\n\n\n\n<p>A <strong>positive NPV<\/strong> means that the project will add value to the company and earn more than the minimum return required. So, the <strong>internal rate of return (IRR)<\/strong> must be <strong>greater than<\/strong> the <strong>discount rate<\/strong> used in the NPV calculation.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Conclusion:<\/strong><\/h3>\n\n\n\n<p>If a long-term investment proposal has a <strong>positive NPV<\/strong>, this is a clear indication that the <strong>IRR is greater than the required rate of return<\/strong> \u2014 making the project financially viable and desirable.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>If the net present value (NPV) of a long term proposal is positive, the internal rate of return is The correct answer and explanation is: Correct Answer: Greater than the required rate of return (or cost of capital). Explanation: Net Present Value (NPV) and Internal Rate of Return (IRR) are two major tools used in [&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-23525","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/23525","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=23525"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/23525\/revisions"}],"predecessor-version":[{"id":23527,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/23525\/revisions\/23527"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=23525"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=23525"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=23525"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}