{"id":6614,"date":"2021-12-07T22:15:59","date_gmt":"2021-12-07T21:15:59","guid":{"rendered":"https:\/\/www.simtrade.fr\/blog_simtrade\/?p=6614"},"modified":"2025-09-04T15:24:05","modified_gmt":"2025-09-04T15:24:05","slug":"compute-net-present-value-investment-excel","status":"publish","type":"post","link":"https:\/\/www.simtrade.fr\/blog_simtrade\/compute-net-present-value-investment-excel\/","title":{"rendered":"How to compute the net present value of an investment in Excel"},"content":{"rendered":"<p><a href=\"https:\/\/www.linkedin.com\/in\/maite-carnicero-mart%C3%ADnez-83ab86227\/\" target=\"_blank\" rel=\"noopener\"><img decoding=\"async\" style=\"padding: 5px\" src=\"https:\/\/www.simtrade.fr\/blog_simtrade\/wp-content\/uploads\/2021\/12\/img_SimTrade_Photo1_Maite_Carnicero_Martinez.jpg\" alt=\"Maite CARNICERO MARTINEZ\" width=\"133\" align=\"right\" \/><\/a><\/p>\n<p>In this article, <a href=\"https:\/\/www.linkedin.com\/in\/maite-carnicero-mart%C3%ADnez-83ab86227\/\" target=\"_blank\" rel=\"noopener\">Maite CARNICERO MARTINEZ<\/a> (ESSEC Business School, Global Bachelor of Business Administration, 2021-2022, exchange student from the University of Salamanca) explains how to compute the net present value of an investment in Excel.<\/p>\n<p>When the time comes that one must choose what project to embark on, there are several measures to compare the available options, such as the internal rate of return, the payback method and the net present value (also known as the \u201cdiscounted cash flow\u201d method or DCF). In this article, I will focus on the last one of these tools, which is the preferred by most financial analysts.<\/p>\n<p>A project is a temporary, unique and progressive endeavor to produce a tangible or intangible result, for instance, a new product or a competitive advantage.  It normally entails the execution of some tasks over a period of time, conditioned to limitations related to cost, quality or performance. During its implementation, an initial investment and a series of cash flows are to be generated at different times. Some examples of projects are: developing a new service, building a factory, and implementing a new process.<\/p>\n<p>The Net Present Value (NPV) compares the present value of the future cash flows with the investment made at the beginning. The computation of the present value uses a the required rate of return. It takes into account the time value of money, translating future cash flows into today\u2019s value, since the buying power of money today is greater that the buying power of the same amount in the future.<\/p>\n<p>The NPV is the basis of the discounted cash flow model (DCF) which allows investors to compare the initial cash flow of expenditure against the present value of future cash flows. It could be used to evaluate whether an important investment is worthwhile, but also in mergers and acquisitions and to compare companies, like Warren Buffet does, because once we have calculated the different NPVs we will know which investment has the biggest gain.<\/p>\n<p>To sum up, the NPV allows us to do evaluate investments from a financial point of view and select the best one.<\/p>\n<h2>Modelling of an investment<\/h2>\n<p>How can we calculate it?<\/p>\n<p>The mathematical formula for the NPV is given by:<\/p>\n<p><center><img decoding=\"async\" src=\"https:\/\/www.simtrade.fr\/blog_simtrade\/wp-content\/uploads\/2021\/12\/img_SimTrade_NPV_formula1.png\" alt=\"NPV formula\" width=\"250\" \/><\/center><\/p>\n<p>CF<sub>t<\/sub> = cash flows of each period (from t=0 to t=T)<br \/>\nT = number of periods<br \/>\nr = discount rate or interested rate required of the investment. It is the rate of return that the investors expect on their investment<\/p>\n<p>For a <i>classical<\/i> project, the first cash flow, CF<sub>0<\/sub>, is negative and corresponds to the initial cost of the project and the following cash flows, CF<sub>t<\/sub> for t=1 to t=T, are assumed to be positive. The NPV can be rewritten as<\/p>\n<p><center><img decoding=\"async\" src=\"https:\/\/www.simtrade.fr\/blog_simtrade\/wp-content\/uploads\/2021\/12\/img_SimTrade_NPV_formula2.png\" alt=\"NPV formula\" width=\"300\" \/><\/center><\/p>\n<p>This formula clearly shows that the NPV compares the first cash flow on the one hand, and the present value of future cash flows on the other hand. As the initial cash flow is negative and the present value of future cash flows is positive, the sign of the NPV depends on relative weight of these two components.<\/p>\n<h2>Investment decision<\/h2>\n<p>The NPV can be used as a criterion for the investment decision.<\/p>\n<ul>\n<li>If the NPV is positive, the investment should be made as it creates value.<\/li>\n<li>If the NPV is zero, the investment should be made or not.<\/li>\n<li>If the NPV is negative, the investment should not be made as it destroys value.<\/li>\n<\/ul>\n<h3>Advantages<\/h3>\n<ul>\n<li>The NPV of an investment is easy to calculate, specially nowadays with financial calculators and spreadsheets like Excel.<\/li>\n<li>The NPV measures the effect of the investment on the firm\u2019s value.<\/li>\n<li>The NPV It takes into account the maturity of each cash flow.<\/li>\n<\/ul>\n<h3>Disadvantages<\/h3>\n<ul>\n<li>In order to compute the NPV, the discount rate has to be specified and it is a difficult issue.<\/li>\n<li>The calculations are based on assumptions and estimations and the reality can differ from them.<\/li>\n<li>Misestimations can be found in the initial investment, on the discount rate and on the projected returns of the project.<\/li>\n<li>The NPV formula presumes that the cash flows are immediately reinvested at the same rate as the discount rate.<\/li>\n<li>It presumes that the negative cash flows are financed with resources whose cost is also the discount rate.<\/li>\n<\/ul>\n<h2>How to compute the NPV on Excel?<\/h2>\n<h3>Example<\/h3>\n<p>Excel is an extended tool in the financial world, also to calculate the NPV. Let\u2019s take an example to illustrate how we can use it: we are offered a project in which we have to invest 42,000 euros and we will receive 8,400 euros the first year, 9,000 the second, 10,300 the third, 11,700 the fourth and 13,000 the last year.<\/p>\n<p><center><img decoding=\"async\" src=\"https:\/\/www.simtrade.fr\/blog_simtrade\/wp-content\/uploads\/2021\/12\/img_SimTrade_NPV_characteristics_investment_project.png\" alt=\"NPV formula\" width=\"500\" \/><\/center><\/p>\n<p>Assuming that the discount rate is 6% per year, what will be the NPV?<\/p>\n<p><center><img decoding=\"async\" src=\"https:\/\/www.simtrade.fr\/blog_simtrade\/wp-content\/uploads\/2021\/12\/img_SimTrade_NPV_formula3.png\" alt=\"NPV formula\" width=\"600\" \/><\/center><\/p>\n<h3>Hand-made computation<\/h3>\n<p>We can do a hand-made computation of the NPV:<\/p>\n<p><center><img decoding=\"async\" src=\"https:\/\/www.simtrade.fr\/blog_simtrade\/wp-content\/uploads\/2021\/12\/img_SimTrade_NPV_hand_made_computation.png\" alt=\"NPV formula\" width=\"500\" \/><\/center><\/p>\n<p>We find a NPV of \u20ac1,564.43. As the NPV of the investment is positive, we will take the project.<\/p>\n<h3>Computation with Excel<\/h3>\n<p>We can also use Excel to compute the NPV:<\/p>\n<p><center><img decoding=\"async\" src=\"https:\/\/www.simtrade.fr\/blog_simtrade\/wp-content\/uploads\/2021\/12\/img_SimTrade_NPV_Excel_computation.png\" alt=\"NPV Excel computation\" width=\"600\" \/><\/center><\/p>\n<p><a href=\"https:\/\/www.simtrade.fr\/blog_simtrade\/wp-content\/uploads\/2021\/12\/doc_SimTrade_Excel_NPV_calculation.xlsx\" target=\"_blank\" rel=\"noopener\"><center><img decoding=\"async\" class=\"aligncenter\" style=\"padding: 3px\" title=\"Download the Excel file to compute the NPV of an investment\" src=\"https:\/\/www.simtrade.fr\/blog_simtrade\/wp-content\/uploads\/2021\/05\/img_SimTrade_Btn_Download_Excel_file_US.png\" alt=\"Download the Excel file to compute the NPV of an investment \" width=\"200\" align=\"center\" \/><\/center><\/a><\/p>\n<h2>Related posts on the SimTrade blog<\/h2>\n<p>&nbsp;&nbsp;&nbsp;&#9654; William LONGIN <a href=\"https:\/\/www.simtrade.fr\/blog_simtrade\/how-compute-present-value-asset\/\" target=\"_parent\" rel=\"noopener\"> How to compute the present value of an asset?<\/a><\/p>\n<p>&nbsp;&nbsp;&nbsp;&#9654; J\u00e9r\u00e9my PAULEN <a href=\"https:\/\/www.simtrade.fr\/blog_simtrade\/irr-function-excel\/\" target=\"_parent\" rel=\"noopener\"> The IRR function in Excel<\/a><\/p>\n<p>&nbsp;&nbsp;&nbsp;&#9654; Rapha\u00ebl ROERO DE CORTANZE <a href=\"https:\/\/www.simtrade.fr\/blog_simtrade\/internal-rate-return\/\" target=\"_parent\" rel=\"noopener\">The Internal Rate of Return<\/a><\/p>\n<p>&nbsp;&nbsp;&nbsp;&#9654; L\u00e9opoldine FOUQUES <a href=\"https:\/\/www.simtrade.fr\/blog_simtrade\/irr-xirr-mirr-functions-excel\/\" target=\"_parent\" rel=\"noopener\">The IRR, XIRR and MIRR functions in Excel<\/a><\/p>\n<p>&nbsp;&nbsp;&nbsp;&#9654; S\u00e9bastien PIAT <a href=\"https:\/\/www.simtrade.fr\/blog_simtrade\/simple-interest-rate-compound-interest-rate\/\" target=\"_parent\" rel=\"noopener\">Simple interest rate and compound interest rate<\/a><\/p>\n<p>&nbsp;&nbsp;&nbsp;&#9654; Georges WAUBERT <a href=\"https:\/\/www.simtrade.fr\/blog_simtrade\/bond-valuation\/\" target=\"_parent\" rel=\"noopener\">Bond valuation<\/a><\/p>\n<h2>Useful resources<\/h2>\n<p>longin.fr website <a href=\"https:\/\/longin.fr\/Cours\/Cours_Gestion_financiere\/cours_gestion_financiere.htm\" target=\"_blank\" rel=\"noopener\">Cours Gestion financi\u00e8re<\/a> (in French).<\/p>\n<p>Mazars  <a href=\"https:\/\/financialmodelling.mazars.com\/resources\/excel-irr-function-and-other-ways-to-calculate-irr-in-excel-2\/\" target=\"_blank\" rel=\"noopener\">Excel IRR Function And Other Ways To Calculate IRR In Excel<\/a><\/p>\n<p>Economipedia <a href=\"https:\/\/economipedia.com\/definiciones\/valor-actual-neto.html\" target=\"_blank\" rel=\"noopener\">NPV definition<\/a> (in Spanish)<\/p>\n<p>HBR <a href=\"https:\/\/hbr.org\/2014\/11\/a-refresher-on-net-present-value\" target=\"_blank\" rel=\"noopener\"> NPV use and calculation<\/a><\/p>\n<p>HBR <a href=\"https:\/\/hbr.org\/2014\/11\/what-net-present-value-cant-tell-you\" target=\"_blank\" rel=\"noopener\">NPV limitations<\/a><\/p>\n<p>MyManagementGuide <a href=\"https:\/\/mymanagementguide.com\/basics\/what-is-a-project\/\" target=\"_blank\" rel=\"noopener\">Project definition<\/a><\/p>\n<h2>About the author<\/h2>\n<p>The article was written in December 2021 by <a href=\"https:\/\/www.linkedin.com\/in\/maite-carnicero-mart%C3%ADnez-83ab86227\/\" target=\"_blank\" rel=\"noopener\">Maite CARNICERO MARTINEZ<\/a> (ESSEC Business School, Global Bachelor of Business Administration, 2021-2022, exchange student from the University of Salamanca).<\/p>\n","protected":false},"excerpt":{"rendered":"<p>In this article, Maite CARNICERO MARTINEZ (ESSEC Business School, Global Bachelor of Business Administration, 2021-2022, exchange student from the University of Salamanca) explains how to compute the net present value of an investment in Excel. When the time comes that one must choose what project to embark on, there are several measures to compare the &#8230; <a title=\"How to compute the net present value of an investment in Excel\" class=\"read-more\" href=\"https:\/\/www.simtrade.fr\/blog_simtrade\/compute-net-present-value-investment-excel\/\" aria-label=\"Read more about How to compute the net present value of an investment in Excel\">Read more<\/a><\/p>\n","protected":false},"author":53,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[5,10],"tags":[228,427,476],"class_list":["post-6614","post","type-post","status-publish","format-standard","hentry","category-contributors","category-financial-techniques","tag-excel-functions","tag-npv","tag-pv"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v26.3 (Yoast SEO v27.2) - https:\/\/yoast.com\/product\/yoast-seo-premium-wordpress\/ -->\n<title>How to compute the net present value of an investment in Excel - SimTrade blog<\/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.simtrade.fr\/blog_simtrade\/compute-net-present-value-investment-excel\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"How to compute the net present value of an investment in Excel\" \/>\n<meta property=\"og:description\" content=\"In this article, Maite CARNICERO MARTINEZ (ESSEC Business School, Global Bachelor of Business Administration, 2021-2022, exchange student from the University of Salamanca) explains how to compute the net present value of an investment in Excel. 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