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How to Calculate Basic and Diluted EPS

Compute basic EPS from income available to common and weighted-average common shares, then include only dilutive securities. Below: a worked calculation that subtracts preferred dividends, weights shares, and adds options before convertible bonds.

The ruleBasic EPS equals income available to common divided by weighted-average common shares. For diluted EPS, include only dilutive potential common shares, using treasury-stock and if-converted methods from most to least dilutive.

Try one first

Pine Co., a calendar-year public company, reported net income of $1,200,000 for Year 2. Pine had 5,000 shares of 8%, $50 par cumulative preferred stock outstanding for the entire year; no preferred dividends were declared. Common stock activity during Year 2 was: Jan 1, 100,000 shares outstanding; Apr 1, issued 20,000 shares; Sep 1, repurchased 10,000 shares (treasury); Nov 1, 2-for-1 stock split. Assume no potentially dilutive securities. What amount should Pine report as basic earnings per share for Year 2?
Hint

First determine income available to common (consider current-year cumulative preferred dividends). Then compute time-weighted average common shares, remember to apply the 2-for-1 split retrospectively to all prior periods before weighting.

Worked example

Maple Co. reports net income of $1,680,000 and $30,000 of current-year cumulative preferred dividends, undeclared. Common shares were 300,000 on January 1; 100,000 were issued July 1. All year, 40,000 options had a $30 exercise price and $40 average market price. Convertible bonds outstanding all year would add 40,000 shares and save $30,000 of after-tax interest. There are no discontinued operations.

1Income available to common$1,680,000 - $30,000$1,650,000
2Weighted-average common shares(300,000 × 6/12) + (400,000 × 6/12)350,000 shares
3Basic EPS$1,650,000 ÷ 350,000$4.71
4Incremental option shares40,000 - (40,000 × $30 ÷ $40)10,000 shares
5EPS after options$1,650,000 ÷ (350,000 + 10,000)$4.58
6Test convertible bonds$30,000 ÷ 40,000 = $0.75; $0.75 < $4.58Dilutive: add $30,000 and 40,000 shares
7Diluted EPS($1,650,000 + $30,000) ÷ (350,000 + 10,000 + 40,000)$4.20

Maple reports basic EPS of $4.71 and diluted EPS of $4.20.

Check: Options add 10,000 shares and no income; bonds add $0.75 per new share, below the $4.58 EPS after options.

Key points

  • Cash issuances and treasury-share repurchases affect weighted-average shares only from their transaction dates.
  • Apply stock splits and stock dividends retroactively to all periods presented, including those occurring after year-end but before statement issuance.
  • Deduct declared noncumulative preferred dividends, but do not deduct prior-year cumulative dividend arrears again.
  • Use income from continuing operations available to common to test dilution.

How the exam traps you

  • Ignoring cumulative preferred dividends because none were declared. Subtract the full current-year cumulative dividend requirement, whether declared or not.
  • Using ending shares or weighting a stock split only from its effective date. Time-weight actual share changes, then apply the split factor retroactively.
  • Adding every potential share without testing dilution. Add dilutive options first; test convertibles against EPS after earlier dilutive securities.

5 more, each from a different angle

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Question 2

Northgate Inc., an SEC registrant, is preparing condensed quarterly financial statements for the quarter ended June 30, Year 2. Northgate has common stock outstanding and employee stock options that are dilutive in each period presented. The company will present income statements for the current quarter, current year-to-date period, and the comparable prior-year quarter and year-to-date period. Which EPS presentation is required under U.S. GAAP for these interim financial statements?
Hint

Focus on whether EPS is required for each income statement period presented, not on whether the statements are annual or interim.

Question 3

A public company is preparing its Form 10-Q for the quarter ended June 30, 20X6. Its condensed income statement will present results for the three months ended June 30, 20X6 and 20X5, and for the six months ended June 30, 20X6 and 20X5. Assume the company had income in all periods and its potentially dilutive securities are dilutive in each period. Which is the most appropriate action regarding earnings per share presentation?
Hint

Tie EPS presentation to the income statement periods shown in the interim filing, not just to the latest quarter.

Question 4

Rho Corp., a public company, reported Year 2 income from continuing operations of $6,200,000 after tax and a discontinued operations loss of $1,200,000 net of tax. Net income for Year 2 was $5,000,000. Rho had cumulative preferred stock outstanding that entitled preferred shareholders to $400,000 of annual dividends, but no preferred dividends were declared in Year 2. Weighted-average common shares outstanding were 1,000,000, and Rho had no potentially dilutive securities. Which basic EPS amounts should Rho present on the face of its Year 2 income statement?
Hint

Separate two issues: first compute income available to common shareholders, then decide which EPS captions a public company must show on the face of the income statement.

Question 5

Orion Co. reported net income of $1,200,000 for Year 1. Throughout Year 1, Orion had 50,000 shares of cumulative preferred stock outstanding with an annual dividend of $3 per share. No dividend was declared on the cumulative preferred stock in Year 1. Orion also had 30,000 shares of noncumulative preferred stock outstanding with an annual dividend of $2 per share, and the Year 1 dividend on that noncumulative preferred stock was declared and paid. Assuming no preferred dividend arrears from prior years and no potentially dilutive securities, what amount should Orion use as income available to common stockholders in computing basic earnings per share for Year 1?
Hint

In basic EPS, ask which preferred dividends are considered applicable to the current year. The declaration requirement is not the same for cumulative and noncumulative preferred stock.

Question 6

A calendar-year public company presents comparative income statements for Year 2 and Year 1, including earnings per share. On February 15, Year 3, before the Year 2 financial statements are issued, the company effects a 2-for-1 stock split. Assume no other capital changes affect earnings per share. What is the appropriate treatment of earnings per share in the Year 2 comparative financial statements?
Hint

Focus on whether a stock split changes only future share counts or also the comparability of prior-period per-share data.

Drill all 151 Public Company Reporting Topics questionsMixed across every rule in the topic, so you have to spot which one applies. That is how the exam does it.

Common questions

Do you subtract cumulative preferred dividends if not declared?

Yes. Subtract the full current-year cumulative dividend requirement; prior-year arrears paid this year do not reduce this year's numerator again.

How do stock splits affect weighted-average shares for EPS?

First time-weight actual share changes, then multiply by the split factor. Restate all periods presented, including for a split after year-end but before the financial statements are issued.

How do you calculate diluted EPS with options and convertible bonds?

Options add only incremental shares under the treasury-stock method. Convertible bonds add after-tax interest and conversion shares, but only if they lower EPS from continuing operations after earlier dilutive securities.

Watch it solved

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FAR Simulation: Stock Dividend, Preferred Dividends and EPS ASC 260 on YouTube

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