{"id":21298,"date":"2025-06-15T09:45:26","date_gmt":"2025-06-15T09:45:26","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=21298"},"modified":"2025-06-15T09:45:28","modified_gmt":"2025-06-15T09:45:28","slug":"if-the-annual-eps-of-a-company-is-4-50-and-its-earnings-yield-is-5","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/if-the-annual-eps-of-a-company-is-4-50-and-its-earnings-yield-is-5\/","title":{"rendered":"If the annual EPS of a company is $4.50 and its earnings yield is 5%"},"content":{"rendered":"\n<p>If the annual EPS of a company is $4.50 and its earnings yield is 5%, what is its stock price?<\/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>To find the <strong>stock price<\/strong>, we can use the relationship between <strong>Earnings Yield<\/strong> and <strong>Earnings Per Share (EPS)<\/strong>: Earnings&nbsp;Yield=EPSStock&nbsp;Price\u00d7100%\\text{Earnings Yield} = \\frac{\\text{EPS}}{\\text{Stock Price}} \\times 100\\%<\/p>\n\n\n\n<p>We are given:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>EPS = $4.50<\/strong><\/li>\n\n\n\n<li><strong>Earnings Yield = 5%<\/strong><\/li>\n<\/ul>\n\n\n\n<p>Let\u2019s plug into the formula and solve for Stock Price: 0.05=4.50Stock&nbsp;Price0.05 = \\frac{4.50}{\\text{Stock Price}}<\/p>\n\n\n\n<p>Now, solve for Stock Price: Stock&nbsp;Price=4.500.05=90\\text{Stock Price} = \\frac{4.50}{0.05} = 90<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u2705 <strong>Correct Answer: $90<\/strong><\/h3>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">\ud83d\udcd8 Explanation (300 words):<\/h3>\n\n\n\n<p><strong>Earnings Per Share (EPS)<\/strong> represents the portion of a company&#8217;s profit allocated to each outstanding share of common stock. It is a key indicator of a company&#8217;s profitability. <strong>Earnings Yield<\/strong> is the inverse of the <strong>Price-to-Earnings (P\/E) ratio<\/strong> and shows how much a company earns relative to its stock price. It is calculated as: Earnings&nbsp;Yield=(EPSStock&nbsp;Price)\u00d7100\\text{Earnings Yield} = \\left(\\frac{\\text{EPS}}{\\text{Stock Price}}\\right) \\times 100<\/p>\n\n\n\n<p>In this problem, we know the company earns $4.50 per share per year (EPS), and the earnings yield is 5%. This means that for every dollar invested in the company\u2019s stock, the investor is earning 5 cents annually in terms of earnings.<\/p>\n\n\n\n<p>To find the stock price, we simply rearrange the formula: Stock&nbsp;Price=EPSEarnings&nbsp;Yield&nbsp;(decimal)\\text{Stock Price} = \\frac{\\text{EPS}}{\\text{Earnings Yield (decimal)}}<\/p>\n\n\n\n<p>Substituting values: Stock&nbsp;Price=4.500.05=90\\text{Stock Price} = \\frac{4.50}{0.05} = 90<\/p>\n\n\n\n<p>This tells us that the market is valuing each share of the company at $90, given that it earns $4.50 per share and the yield expected by investors is 5%. A lower earnings yield (e.g., 2%) would imply a higher stock price for the same EPS, while a higher earnings yield would mean a lower price, all else equal. Investors use this relationship to assess whether a stock is fairly valued.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>If the annual EPS of a company is $4.50 and its earnings yield is 5%, what is its stock price? The correct answer and explanation is: To find the stock price, we can use the relationship between Earnings Yield and Earnings Per Share (EPS): Earnings&nbsp;Yield=EPSStock&nbsp;Price\u00d7100%\\text{Earnings Yield} = \\frac{\\text{EPS}}{\\text{Stock Price}} \\times 100\\% We are given: Let\u2019s [&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-21298","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/21298","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=21298"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/21298\/revisions"}],"predecessor-version":[{"id":21299,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/21298\/revisions\/21299"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=21298"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=21298"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=21298"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}