# 6.4: The Computation of Earnings per Share

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### Learning Objectives

At the end of this section, students should be able to meet the following objectives:

1. Compute and explain return on equity.
2. Discuss the reasons that earnings per share (EPS) figures are so closely watched by investors.
3. Calculate basic EPS with or without the existence of preferred stock.

Question: In the earlier text Principles of Financial Accounting 1, various ratios were presented. They include ratios, numbers, percentages, and the like that are commonly studied by investors as an indication of current financial health and future prosperity. One common measure is return on equity (ROE). How does an interested party calculate the return on equity reported by a business?

Answer: Return on equity reflects the profitability of a company based on the size of the owners’ claim to net assets as shown primarily through contributed capital and retained earnings. It is simply the reported net income divided by average shareholders’ equity for the period.

return on equity = net income or operating income/average shareholders’ equity

For example, NetFlix began 2022 with total shareholders’ equity of $15.8 billion and ended that year with a balance of$20.8 billion. For the year ended December 31, 2022, NetFlix reported income before taxes of $5.3 billion for a return on equity of 29 percent. average shareholders’ equity: ($15.8 billion + $20.8 billion)/2 =$18.3 billion
return on equity: $5.3 billion/$18.3 billion = 29%

Question: No single ratio that is computed to help investors analyze a business and its financial health is more obsessively watched than earnings per share (EPS). Corporations even call press conferences to announce their latest EPS figures. According to U.S. GAAP, public companies are required to present EPS for each period that net income is reported. As just one example, NetFlix, Inc. disclosed EPS of $10.10 on its income statement for the year ended December 31, 2022. Why is the EPS reported by a corporation so closely monitored by the investment community? Answer: The simple reason for the public fascination with EPS is that this number is generally considered to be linked to the market price of a company’s capital stock. Therefore, constant and wide-scale speculation takes place about future EPS figures. If analysts merely predict an increase in EPS, that forecast alone can lead to a surge in stock price. A price-earnings ratio (P/E ratio) is even computed to help quantify this relationship. The P/E ratio is the current price of the stock divided by the latest EPS figure. It enables investors to anticipate movements in the price of a stock based on their projections of earnings per share. If a company’s P/E ratio is twenty and is expected to remain constant, then an increase in EPS of$1 should lead to a $20 rise in stock price. The ongoing debate as to whether EPS and the P/E ratio are over emphasized as investing tools is a controversy better left to upper-level finance courses. The fascination is certainly real regardless of whether the perceived benefits are as great as many believe. Question: How is EPS calculated? Answer: EPS is a common stock computation designed to measure operating results after all other claims have been satisfied. In simplest form, EPS (often referred to as basic EPS) is the net income for the period divided by the weighted average number of outstanding shares of common stock. The company’s income is allocated equally to each of these shares. To illustrate, assume a business organization reports net income of$700,000. If an average of 200,000 shares of common stock is outstanding for this period of time, EPS is $700,000/200,000 or$3.50 per share. If the market price of this stock is $35, then the P/E ratio is 35/3.50, or ten. Because EPS only relates to common stock, this computation is altered slightly if preferred stock shares are also outstanding. Preferred stock is normally entitled to its dividend before common stock has any claim. Therefore, in determining basic EPS, any preferred stock dividend must be removed to arrive at the portion of income that is attributed to the ownership of common stock. Basic EPS (net income – preferred stock dividends)/average number of common shares outstanding ### Check Yourself If a company decides to repurchase its common stock and thus reduce the number of average shares outstanding, what could be expected with regard to the calculation of earnings per share? A. Earnings per share would decrease. B. Earnings per share would increase. C. Earnings per share would not be affected. D. Preferred dividends would be increased. The correct answer is B. Because the formula for EPS is (Net Income – Preferred dividends) / Average shares outstanding and the purchase of shares would reduce the number outstanding the EPS calculation would increase because the denominator is reduced. Question: For the year ended December 31, 2022, NetFlix reported basic EPS of$10.10 per share. However, the company also reported a second figure, diluted EPS, that was only $9.95 per share. What is the meaning of diluted EPS? Why is diluted EPS also reported by some businesses along with basic EPS? Answer: All publicly traded companies must disclose basic EPS. Income reported for the period (after removal of any preferred stock dividends) is allocated evenly over the weighted average number of shares of outstanding common stock. Basic EPS is mechanically derived based on historically reported income and share figures. Many corporations also have other contractual obligations outstanding that could become common stock and, therefore, potentially affect this computation. Stock options, convertible bonds, and convertible preferred stock can each be exchanged in some manner for common stock shares. That decision is usually up to the holder and out of the control of the company. If these conversions were to transpire, the additional shares could cause EPS to drop—possibly by a significant amount. This potential reduction should be considered by investors in making any assessment of EPS. Diluted EPS serves as a warning to decision makers of the possible impact that the existence of these convertibles can have on ownership. It is a hypothetical computation that gives weight to the chance that such conversions will take place. The actual mechanical steps in this process are better left to an intermediate accounting course. However, an understanding of the purpose of reporting diluted EPS is worthwhile. Stock options, convertible bonds, convertible preferred stocks, and the like could become common stock and reduce a company’s earnings per share. Thus, U.S. GAAP requires that this possible impact is calculated and shown by the reporting of a lower diluted EPS. For Netflix, if all other transactions stayed the same except that its convertible items were exchanged for common stock, basic EPS would drop from$10.10 to \$9.95 because of the additional stockholders getting their share. That is the possible dilution that could be caused by the presence of items convertible into common stock. For an investor or potential investor, that is information of interest. Including this figure alerts them to the possibility of such conversions and helps them quantify the potential impact.

Question:  When the number of shares outstanding changes during the year, how is the average or weighted average shares outstanding calculated?

So a review - issuance of new shares makes the number of shares outstanding go up as does the resale of treasury shares.  The purchase of treasury stock makes the number of shares outstanding go down.  So if ArcSoft, Inc. starts the year with 150,000 shares outstanding and then issues or sells 20,000 new shares on May 1 and purchases treasury stock of 5,000 shares on November 1, they will end the year with 165,000 shares outstanding (150,000 + 20,000 - 5,000).  But is that the average shares outstanding?  No, we still need to make a calculation.  So Arc had 150,000 shares outstanding from Jan 1 to May 1 or 4 months, then they had 170,000 shares outstanding for May 1 to Nov 1 or 6 months.  Finally they had 165,000 shares outstanding for Nov 1 to Dec 31 or two months.

One way to calculate the weighted average:

150,000 x 4 months / 12 months or 150,000 * 4 / 12 = 50,000

170,000 x 6 months / 12 months or 170,000 * 6 / 12 = 85,000                Each number of shares outstanding is multiplied by the portion of the year they are                                                                                                                            outstanding

165,000 x 2 months / 12 months or 165,000 * 2 / 12 = 27,500

50,000 + 85,000 +27,500 = 162,500 weighted average shares outstanding used to calculate EPS.

Second way to calculate the weighted average  (number of shares outstanding for all 12 months listed - change only with the change in outstanding shares - then add up)

January           150,000/ 12 =  12,500

February          150,000/12 =   12,500

March              150,000/12 =   12,500

April                150,000/12 =    12,500

May                 170,000/12 =    14,167

June                170,000/12  =    14,167

July                 170,000/12  =    14,167

August             170,000/12 =     14,167

September       170,000/12 =      14,167

October            170,000/12 =      14,167

November         165,000/12 =      13,750

December         165,000/12 =      13,750

Total =                                    162,502  different because of rounding

Of course when there are no changes during the year in the number of shares outstanding - this mathematical calculation is not needed and the average is the same as the number of shares outstanding at the beginning and end of the year.

### Key Takeaway

Return on equity (ROE) is one percentage often computed by market analysts to help evaluate the profitability of a business. However, the reporting of earnings per share (EPS) draws a much greater circle of interest. Basic EPS must be reported by every publicly traded company for each year in which net income is reported. Basic EPS is the net income for the period divided by the weighted average number of shares of common stock outstanding. Because EPS is only determined for common stock, any preferred stock dividends must be removed from net income as a preliminary step in carrying out this computation. The resulting figure is viewed as having a major impact on the movement of the company’s stock price. The price-earnings (P/E) ratio even quantifies that effect. If a corporation also has items such as stock options or convertible bonds that can be turned into common stock, conversion could potentially have an adverse impact on EPS. Thus, where such contractual obligations are outstanding, diluted EPS must also be reported to help investors understand the possible impact of future conversions.

#### Talking with a Real Investing Pro (Continued)

Following is a continuation of our interview with Kevin G. Burns.

Question: Investors in the United States seem to have an obsession about the reporting of earnings per share. Even slight movements in projected EPS figures can create significant swings in the market price of a company’s stock. Do you think there is an overemphasis on EPS in the public’s investing decisions? How closely do you pay attention to EPS figures that are reported by the businesses that you are following?

Kevin Burns: This is a very good question. By now students must realize that accounting is really all about estimates. Although investors would like accounting to be objectively exact, reporting such estimates really requires an awful lot of subjectivity. For example, for many years, General Electric would almost always report EPS a penny or two above market expectations. This was quarter after quarter like clockwork. It got to the point where if the company didn’t “beat” the estimates on the street by a penny or two, the market was disappointed. It is absurd to believe that this is meaningful. This is especially true when earnings can also be managed simply by delaying or speeding up a major transaction from one time period to another. So, yes, I believe that EPS, although important, is not the ultimate piece of information that some investors seem to think. I am much more concerned about asset values, growth prospects, and what a company does with the cash it is able to generate.

6.4: The Computation of Earnings per Share is shared under a not declared license and was authored, remixed, and/or curated by LibreTexts.