{"id":3152,"date":"2014-11-06T19:32:43","date_gmt":"2014-11-06T17:32:43","guid":{"rendered":"http:\/\/www.invest-aura.com\/?p=3152"},"modified":"2023-03-29T11:01:24","modified_gmt":"2023-03-29T09:01:24","slug":"the-project-that-has-two-irrs","status":"publish","type":"post","link":"https:\/\/www.investaura.co\/wordpress\/2014\/11\/the-project-that-has-two-irrs\/","title":{"rendered":"The project that has two different IRRs"},"content":{"rendered":"<p>When cash flows are &#8216;well-behaved&#8217;, then the IRR makes more or less sense, because you can argue that it is equivalent to the yield\u00a0(interest rate) that a bond would pay to bondholders, and the cash flows are the (variable) coupons that you receive, and the Face Value of the bond is the cash flow you receive in the last year (at &#8216;exit&#8217;). Phew!<\/p>\n<p>Let us take a look. In the ideal world, your cash flow stream might look like that, and the IRR is 15% in this case. In the last year, we have simply assumed that the business is sold at 5 times the cash flow generated in the previous year.<!--more--><\/p>\n<p><img data-attachment-id=\"3160\" data-permalink=\"https:\/\/www.investaura.co\/wordpress\/2014\/11\/the-project-that-has-two-irrs\/irr_wb\/\" data-orig-file=\"https:\/\/i0.wp.com\/www.investaura.co\/wordpress\/wp-content\/uploads\/IRR_WB.png?fit=927%2C502&amp;ssl=1\" data-orig-size=\"927,502\" data-comments-opened=\"0\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;}\" data-image-title=\"IRR_WB\" data-image-description=\"\" data-image-caption=\"\" data-medium-file=\"https:\/\/i0.wp.com\/www.investaura.co\/wordpress\/wp-content\/uploads\/IRR_WB.png?fit=300%2C162&amp;ssl=1\" data-large-file=\"https:\/\/i0.wp.com\/www.investaura.co\/wordpress\/wp-content\/uploads\/IRR_WB.png?fit=720%2C390&amp;ssl=1\" decoding=\"async\" loading=\"lazy\" class=\"aligncenter size-full wp-image-3160\" src=\"https:\/\/i0.wp.com\/www.invest-aura.com\/wordpress\/wp-content\/uploads\/IRR_WB.png?resize=720%2C390\" alt=\"IRR_WB\" width=\"720\" height=\"390\" srcset=\"https:\/\/i0.wp.com\/www.investaura.co\/wordpress\/wp-content\/uploads\/IRR_WB.png?w=927&amp;ssl=1 927w, https:\/\/i0.wp.com\/www.investaura.co\/wordpress\/wp-content\/uploads\/IRR_WB.png?resize=300%2C162&amp;ssl=1 300w\" sizes=\"(max-width: 720px) 100vw, 720px\" data-recalc-dims=\"1\" \/><\/p>\n<p>But let us assume that, for some reason, the cash flow is initial positive (for example because the project starts with a small-scale operation that is self-funded and financed by advisory services provided to customers; before ramping-up on a large scale, requiring significant investments). The cash flow below are otherwise the same as above, but delayed by 2 years, and with a different terminal value (higher multiple at exit).\u00a0This project has 2 IRRs.<\/p>\n<p>Which is the right one? None of them.<\/p>\n<p><img data-attachment-id=\"3162\" data-permalink=\"https:\/\/www.investaura.co\/wordpress\/2014\/11\/the-project-that-has-two-irrs\/irr_nwb1\/\" data-orig-file=\"https:\/\/i0.wp.com\/www.investaura.co\/wordpress\/wp-content\/uploads\/IRR_NWB1.png?fit=926%2C503&amp;ssl=1\" data-orig-size=\"926,503\" data-comments-opened=\"0\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;}\" data-image-title=\"IRR_NWB1\" data-image-description=\"\" data-image-caption=\"\" data-medium-file=\"https:\/\/i0.wp.com\/www.investaura.co\/wordpress\/wp-content\/uploads\/IRR_NWB1.png?fit=300%2C162&amp;ssl=1\" data-large-file=\"https:\/\/i0.wp.com\/www.investaura.co\/wordpress\/wp-content\/uploads\/IRR_NWB1.png?fit=720%2C391&amp;ssl=1\" decoding=\"async\" loading=\"lazy\" class=\"aligncenter size-full wp-image-3162\" src=\"https:\/\/i0.wp.com\/www.invest-aura.com\/wordpress\/wp-content\/uploads\/IRR_NWB1.png?resize=720%2C391\" alt=\"IRR_NWB1\" width=\"720\" height=\"391\" srcset=\"https:\/\/i0.wp.com\/www.investaura.co\/wordpress\/wp-content\/uploads\/IRR_NWB1.png?w=926&amp;ssl=1 926w, https:\/\/i0.wp.com\/www.investaura.co\/wordpress\/wp-content\/uploads\/IRR_NWB1.png?resize=300%2C162&amp;ssl=1 300w\" sizes=\"(max-width: 720px) 100vw, 720px\" data-recalc-dims=\"1\" \/><\/p>\n<p>Note that the two IRR values of the project don&#8217;t have to be so far apart and could be closer, as in this cash flow stream below.<\/p>\n<p><img data-attachment-id=\"3164\" data-permalink=\"https:\/\/www.investaura.co\/wordpress\/2014\/11\/the-project-that-has-two-irrs\/irr_nwb2\/\" data-orig-file=\"https:\/\/i0.wp.com\/www.investaura.co\/wordpress\/wp-content\/uploads\/IRR_NWB2.png?fit=926%2C502&amp;ssl=1\" data-orig-size=\"926,502\" data-comments-opened=\"0\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;}\" data-image-title=\"IRR_NWB2\" data-image-description=\"\" data-image-caption=\"\" data-medium-file=\"https:\/\/i0.wp.com\/www.investaura.co\/wordpress\/wp-content\/uploads\/IRR_NWB2.png?fit=300%2C162&amp;ssl=1\" data-large-file=\"https:\/\/i0.wp.com\/www.investaura.co\/wordpress\/wp-content\/uploads\/IRR_NWB2.png?fit=720%2C390&amp;ssl=1\" decoding=\"async\" loading=\"lazy\" class=\"aligncenter size-full wp-image-3164\" src=\"https:\/\/i0.wp.com\/www.invest-aura.com\/wordpress\/wp-content\/uploads\/IRR_NWB2.png?resize=720%2C390\" alt=\"IRR_NWB2\" width=\"720\" height=\"390\" srcset=\"https:\/\/i0.wp.com\/www.investaura.co\/wordpress\/wp-content\/uploads\/IRR_NWB2.png?w=926&amp;ssl=1 926w, https:\/\/i0.wp.com\/www.investaura.co\/wordpress\/wp-content\/uploads\/IRR_NWB2.png?resize=300%2C162&amp;ssl=1 300w\" sizes=\"(max-width: 720px) 100vw, 720px\" data-recalc-dims=\"1\" \/><\/p>\n<p>Check for yourself and download the following document\u00a0to run your own simulations.<\/p>\n<p>[download id=&#8221;3154&#8243;]<\/p>\n<p>Next time that someone asks you what the IRR of your project is, do ask him in return (if circumstances permit) to explain to you what the IRR is. You will be surprised! You might also answer that your project has multiple IRRs, and tell your audience that you are not sure whether it&#8217;s a good sign or not. See how people react.<\/p>\n<p>If you want to read more about the IRR, enjoy\u00a0<a href=\"http:\/\/www.investaura.co\/2011\/02\/stop-using-the-irr\/\">Stop using the IRR!<\/a>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>When cash flows are &#8216;well-behaved&#8217;, then the IRR makes more or less sense, because you can argue that it is equivalent to the yield\u00a0(interest rate) that a bond would pay to bondholders, and the cash flows are the (variable) coupons&#8230; <\/p>\n<div class=\"more-link-container\"><a class=\"more-link\" href=\"https:\/\/www.investaura.co\/wordpress\/2014\/11\/the-project-that-has-two-irrs\/\">Read More<\/a><\/div>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"jetpack_post_was_ever_published":false,"jetpack_publicize_message":"","jetpack_is_tweetstorm":false,"jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":false,"jetpack_social_options":[]},"categories":[86],"tags":[63,35],"jetpack_publicize_connections":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v20.4 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>The project that has two different IRRs | Investaura<\/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:\/\/www.investaura.co\/wordpress\/2014\/11\/the-project-that-has-two-irrs\/\" \/>\n<meta property=\"og:locale\" content=\"en_GB\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"The project that has two different IRRs | Investaura\" \/>\n<meta property=\"og:description\" content=\"When cash flows are &#8216;well-behaved&#8217;, then the IRR makes more or less sense, because you can argue that it is equivalent to the yield\u00a0(interest rate) that a bond would pay to bondholders, and the cash flows are the (variable) coupons... 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using the IRR!","date":"February 2, 2011","format":false,"excerpt":"It\u2019s funny that the IRR \u2013 the Internal Rate of Return \u2013 is still in use with finance professionals.\u00a0 Actually it is not funny, it is sad, especially when you consider the many flaws that the IRR has. \u00a0But it is human after all: the IRR looks like a wonderfully\u2026","rel":"","context":"In &quot;Finance templates&quot;","img":{"alt_text":"","src":"https:\/\/i0.wp.com\/www.investaura.co\/wordpress\/wp-content\/uploads\/2024\/07\/Business_Planning2.jpg?fit=1024%2C631&ssl=1&resize=350%2C200","width":350,"height":200},"classes":[]},{"id":2390,"url":"https:\/\/www.investaura.co\/wordpress\/2014\/03\/the-acquisition-of-whatsapp-by-facebook-too-expensive-or-too-cheap\/","url_meta":{"origin":3152,"position":1},"title":"The acquisition of WhatsApp by Facebook: too expensive, or too cheap?","date":"March 27, 2014","format":false,"excerpt":"Obviously the SMS business has been a cash-cow for mobile operators for close to 20 years now, and it was high time that something happens to shake-up the status quo. This seems to be exactly what the WhatsApp team has managed to do. No surprise that it didn't get unnoticed.\u00a0On\u2026","rel":"","context":"In &quot;Investaura Analysis&quot;","img":{"alt_text":"","src":"https:\/\/i0.wp.com\/www.investaura.co\/wordpress\/wp-content\/uploads\/2024\/07\/Business_Planning2.jpg?fit=1024%2C631&ssl=1&resize=350%2C200","width":350,"height":200},"classes":[]},{"id":1429,"url":"https:\/\/www.investaura.co\/wordpress\/2012\/07\/why-pe-ratios-are-useless\/","url_meta":{"origin":3152,"position":2},"title":"Why P\/E ratios are useless, unless you are Warren Buffett","date":"July 17, 2012","format":false,"excerpt":"In a previous article ('Stop using the IRR!'), we explained why the Internal Rate of Return is a completely misleading and useless measure of finance performance; and recommended to use the ROE (Return on Equity), the ROIC (Return on Invested Capital), as well as the peak funding requirement, the payback\u2026","rel":"","context":"In &quot;Stock valuation&quot;","img":{"alt_text":"","src":"https:\/\/i0.wp.com\/www.investaura.co\/wordpress\/wp-content\/uploads\/2024\/07\/Business_Planning2.jpg?fit=1024%2C631&ssl=1&resize=350%2C200","width":350,"height":200},"classes":[]},{"id":1721,"url":"https:\/\/www.investaura.co\/wordpress\/2014\/02\/our-highly-popular-seminar-on-finance-for-non-financial-managers\/","url_meta":{"origin":3152,"position":3},"title":"Our highly popular Seminar on &#8216;Finance for non-Financial Managers&#8217; is coming to you","date":"February 4, 2014","format":false,"excerpt":"Have you\u00a0ever wished that you would better understand Finance and Business Planning? Maybe with a view to take 'Profit responsibility' within your company? Then this seminar is for you. Accounting and Finance are not hard to learn, and everybody can learn them.\u00a0The 3-day training will bring you up to speed\u2026","rel":"","context":"In &quot;Training&quot;","img":{"alt_text":"","src":"https:\/\/i0.wp.com\/www.invest-aura.com\/wordpress\/wp-content\/uploads\/2014\/02\/Finance_for_Non_Financial1-1024x575.png?resize=350%2C200","width":350,"height":200},"classes":[]},{"id":1269,"url":"https:\/\/www.investaura.co\/wordpress\/2012\/03\/ifc-mobile-money-study\/","url_meta":{"origin":3152,"position":4},"title":"Mobile Money study for IFC","date":"March 24, 2012","format":false,"excerpt":"Our consultancy partner in Canada,\u00a0Intelecon Research & Consultancy, recently completed a project on mobile money for the International Finance Corporation (IFC). The full report (available at\u00a0\u00a0http:\/\/tinyurl.com\/87zdeyv ) provides a theoretical framework and methodology that is a powerful tool for assessing any country\u2019s m-money development potential. 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