{"id":88364,"date":"2017-05-02T11:00:29","date_gmt":"2017-05-02T17:00:29","guid":{"rendered":"https:\/\/www.biggerpockets.com\/renewsblog\/?p=88364"},"modified":"2021-03-16T12:25:06","modified_gmt":"2021-03-16T18:25:06","slug":"expected-value","status":"publish","type":"post","link":"https:\/\/www.biggerpockets.com\/blog\/expected-value","title":{"rendered":"A Simple Way to Think About Expected Value (EV) When Making a Decision"},"content":{"rendered":"<p>In the investing world, your financial success will be determined by your ability to make decisions. What you choose to invest in and when you choose to invest in it can have a massive impact on your eventual profitability. There are many potential approaches to making an investment decision, but one of the best is expected value (EV), the <a href=\"http:\/\/www.investopedia.com\/terms\/e\/expected-value.asp\" target=\"_blank\" rel=\"noopener\">sum of all possible values of all possible outcomes<\/a> for a given decision.<\/p>\n<p>Expected value is an ideal way to make decisions because it allows you to quantify and incorporate risk into your decision making, as well as balance potentially good and bad outcomes in the same equation\u2014since good and bad outcomes are both possible. Unfortunately, trying to calculate it outright is a nightmare for non-statisticians.<\/p>\n<h2>A Basic Example<\/h2>\n<p>The easiest way to think about expected value is through an example given by <a href=\"https:\/\/foreverjobless.com\/ev-millionaires-math\/\" target=\"_blank\" rel=\"noopener\">Billy Murphy of Forever Jobless<\/a>. Imagine you\u2019re playing a coin-flipping game with a friend, and you wager $1. If the coin comes up heads, you win $2, but if the coin comes up tails, you lose your original $1 investment. There\u2019s a 50 percent chance you\u2019ll gain $1 and a 50 percent chance you\u2019ll lose $1. The expected value of the scenario, then, is $0, making it a neutral investment.<\/p>\n<p><em><strong>Related:<\/strong> <a href=\"\/renewsblog\/underwrite-rental-applications\" target=\"_blank\">How I Underwrite Rental Applications to Mitigate High-Risk Tenants<\/a><\/em><\/p>\n<p>Let\u2019s say you get $3 if heads comes up, however. In that case, you\u2019ll have a 50 percent chance of gaining $2 and a 50 percent chance of losing $1, so the EV of your scenario is $1, making it worth the risk, on average.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-86728\" src=\"https:\/\/www.biggerpockets.com\/blog\/wp-content\/uploads\/2017\/03\/private-money-meeting.jpg\" alt=\"private-money-meeting\" width=\"702\" height=\"336\" title=\"\" srcset=\"https:\/\/www.biggerpockets.com\/blog\/wp-content\/uploads\/2017\/03\/private-money-meeting.jpg 702w, https:\/\/www.biggerpockets.com\/blog\/wp-content\/uploads\/2017\/03\/private-money-meeting-300x144.jpg 300w\" sizes=\"auto, (max-width: 702px) 100vw, 702px\" \/><\/p>\n<h2>Simplifying the Calculation<\/h2>\n<p>You don\u2019t have to fully understand every possible variable in the equation to utilize EV in your decision making. You simply have to use the information you do have\u2014and some educated guesses\u2014to ballpark the EV of a given situation. For example, let\u2019s say you\u2019re playing poker, and the pot stands at $30. You don\u2019t have anything in your hand, but your opponent checks to you. Imagine you\u2019re considering betting $15. In that case, you can make an assumption about your opponent\u2019s chances of folding\u2014let\u2019s say you estimate it to be two-thirds, based on their folding behavior in the past. In two-thirds of cases, you\u2019ll win $30, and in one-third of cases, you\u2019ll lose $15. That makes the EV of your decision $45 ($30 + $30 &#8211; $15).<\/p>\n<p>This decision-making style is somewhat predicated on your ability to estimate the percentages of various outcomes. For example, when applied to investing, you\u2019ll need to guess at the <a href=\"http:\/\/www.aaii.com\/investing\/article\/steps-to-take-when-your-stocks-price-falls\" target=\"_blank\" rel=\"noopener\">likelihood that a stock price will drop<\/a>\u2014and how far it may drop in that scenario. Once you have an estimate, you can reasonably estimate the EV of your investment decision. Though you\u2019ll inevitably lose some of these approaches, if you consistently make net-positive EV decisions, it\u2019s almost mathematically impossible for you to lose in the long-term.<\/p>\n<h2>Estimating By Example<\/h2>\n<p>The biggest problem with EV is that it relies on estimations\u2014and unless you\u2019re a skilled and experienced statistician, you won\u2019t be able to forecast accurate numbers. Fortunately, there\u2019s a simplified way around brute-force calculations; you can monitor the examples of others. <a href=\"https:\/\/www.sec.gov\/investor\/pubs\/tenthingstoconsider.htm\" target=\"_blank\" rel=\"noopener\">Look at historical data<\/a> to see how this scenario has played out in the past. Look at competitors to see how they\u2019ve done in similar situations. Figure out what\u2019s different in this scenario, and update the numbers accordingly. You should be able to ballpark the probability of a given event just by studying the landscape and getting a \u201cfeel\u201d for how it\u2019s played out in other applications.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-86284\" src=\"https:\/\/www.biggerpockets.com\/blog\/wp-content\/uploads\/2017\/02\/organizedocs.jpg\" alt=\"\" width=\"702\" height=\"336\" title=\"\" srcset=\"https:\/\/www.biggerpockets.com\/blog\/wp-content\/uploads\/2017\/02\/organizedocs.jpg 702w, https:\/\/www.biggerpockets.com\/blog\/wp-content\/uploads\/2017\/02\/organizedocs-300x144.jpg 300w\" sizes=\"auto, (max-width: 702px) 100vw, 702px\" \/><\/p>\n<p><em><strong>Related:<\/strong> <a href=\"\/renewsblog\/risks-owning-rentals\" target=\"_blank\">The 4 Main Risks of Owning Rental Properties (&amp; How to Mitigate Them!)<\/a><\/em><\/p>\n<h2>Using Expected Value<\/h2>\n<p>Expected value is meant to help you quantify and better understand the nature of your potential risks and rewards when making a decision. In theory, always opting for decisions with a positive EV will eventually work out in your favor; however, EV shouldn\u2019t be used as a sole factor in your decision making. You also need to consider your risk tolerance, non-quantifiable variables, and even your gut feeling on your decision (especially if you\u2019re an experienced investor).<\/p>\n<p>Use EV as a tool to help you come to the right decision; the more you use it, the more natural it will seem.<\/p>\n<p><em>How do you go through the decision-making process when it comes to investments?<\/em><\/p>\n<p><strong>Let me know with a comment!<\/strong><\/p>\n","protected":false},"excerpt":{"rendered":"<p>There are many ways to make an investment decision, but one of the best is expected value, the sum of values of all possible outcomes for a given decision.<\/p>\n","protected":false},"author":59534,"featured_media":88372,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[4252],"tags":[],"class_list":["post-88364","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-deal-analysis"],"acf":[],"comment_count":0,"_links":{"self":[{"href":"https:\/\/www.biggerpockets.com\/blog\/wp-json\/wp\/v2\/posts\/88364","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.biggerpockets.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.biggerpockets.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.biggerpockets.com\/blog\/wp-json\/wp\/v2\/users\/59534"}],"replies":[{"embeddable":true,"href":"https:\/\/www.biggerpockets.com\/blog\/wp-json\/wp\/v2\/comments?post=88364"}],"version-history":[{"count":0,"href":"https:\/\/www.biggerpockets.com\/blog\/wp-json\/wp\/v2\/posts\/88364\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.biggerpockets.com\/blog\/wp-json\/wp\/v2\/media\/88372"}],"wp:attachment":[{"href":"https:\/\/www.biggerpockets.com\/blog\/wp-json\/wp\/v2\/media?parent=88364"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.biggerpockets.com\/blog\/wp-json\/wp\/v2\/categories?post=88364"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.biggerpockets.com\/blog\/wp-json\/wp\/v2\/tags?post=88364"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}