Basic EPS: The Simple Version
Basic EPS measures how much of a company's net income is attributable to each outstanding share of common stock. It is a simple ratio — but the denominator requires careful calculation when shares have been issued or repurchased during the year.
Preferred dividends are subtracted in the numerator because EPS represents income available to common shareholders — preferred shareholders have a prior claim on dividends that reduces what is left for common. If preferred stock is cumulative, the dividend is subtracted even if not declared. If non-cumulative, only declared dividends are subtracted.
Example: Net income: $480,000. Preferred dividends: $30,000. Weighted average common shares: 150,000.
Basic EPS = ($480,000 − $30,000) ÷ 150,000 = $450,000 ÷ 150,000 = $3.00
Weighted Average Shares Outstanding
The weighted average is used instead of year-end shares because shares issued or repurchased during the year were only outstanding for part of the year — weighting by time reflects this accurately.
| Date | Event | Shares | Fraction of Year | Weighted |
|---|---|---|---|---|
| Jan 1 | Beginning | 100,000 | 3/12 (Jan–Mar) | 25,000 |
| Apr 1 | Issued 60,000 | 160,000 | 6/12 (Apr–Sep) | 80,000 |
| Oct 1 | Repurchased 20,000 | 140,000 | 3/12 (Oct–Dec) | 35,000 |
| Weighted average | 140,000 |
Important exception: Stock dividends and stock splits are treated as if they occurred at the beginning of the year (retroactively adjusted), because they change the number of shares without changing total equity. If a 2-for-1 stock split occurs on October 1, all prior share counts are doubled when calculating the weighted average.
Diluted EPS: Why It Exists
Many companies have outstanding securities that could be converted into common shares — stock options, warrants, convertible bonds, convertible preferred stock. These potential shares are not yet outstanding but could become outstanding in the future, diluting EPS. Diluted EPS shows what EPS would be if all dilutive securities were converted or exercised. It represents a more conservative, worst-case earnings-per-share figure.
÷ (Weighted Avg Shares + Additional shares from dilutive securities)
The Treasury Stock Method for Options and Warrants
For stock options and warrants, the treasury stock method is used. It assumes: (1) the options are exercised and the company receives cash at the exercise price; (2) the company uses that cash to repurchase shares at the average market price. Only the net additional shares (shares issued minus shares repurchased) enter the diluted EPS denominator.
Cash received: X × EP
Shares repurchased: (X × EP) ÷ Average Market Price
Net additional shares = Shares issued − Shares repurchased
Example: 20,000 options with exercise price $30. Average market price: $50.
Shares issued: 20,000. Cash received: 20,000 × $30 = $600,000. Shares repurchased: $600,000 ÷ $50 = 12,000. Net additional shares: 20,000 − 12,000 = 8,000 added to denominator.
No adjustment to the numerator is needed for options — there are no interest or dividend savings when options are exercised (unlike convertible bonds).
Convertible Securities
For convertible bonds, conversion is assumed and both the numerator and denominator are adjusted using the if-converted method:
- Add to numerator: After-tax interest savings = Bond interest expense × (1 − Tax rate)
- Add to denominator: Number of shares the bonds would convert into
Example: $500,000, 6% convertible bonds, convertible into 25,000 shares. Tax rate 25%. Interest savings = $500,000 × 6% × (1 − 0.25) = $30,000 × 0.75 = $22,500 added to numerator. 25,000 shares added to denominator.
For convertible preferred stock: preferred dividend is added back to the numerator (no longer subtracted, since conversion eliminates the preferred dividend obligation). Number of common shares from conversion is added to the denominator.
The Anti-Dilution Test
Not all potentially dilutive securities are actually dilutive. A security is anti-dilutive if including it would increase diluted EPS rather than decrease it. Anti-dilutive securities are excluded from the diluted EPS calculation — they make things look better, not worse.
For options and warrants: anti-dilutive when the exercise price exceeds the average market price (out-of-the-money options) — the company would repurchase more shares than it issues, reducing the share count. For convertible securities: calculate the incremental EPS contribution (added numerator ÷ added denominator). If this incremental EPS exceeds basic EPS, the security is anti-dilutive.
Presentation Requirements
Under ASC 260, public companies must present both basic and diluted EPS on the face of the income statement — not just in the notes. Both figures are required for: income from continuing operations and net income. If a company has a simple capital structure (no dilutive securities), only basic EPS need be reported, but this is uncommon for public companies. Both EPS figures must be shown for each period presented (typically three years for the income statement in a 10-K).
Convertible bonds: use if-converted method (add after-tax interest savings to numerator, add shares to denominator).
Anti-dilutive securities: EXCLUDE from diluted EPS.
Stock splits/dividends: retroactive adjustment to all prior periods presented.
Practice EPS and Intermediate Accounting Questions
PrepQBank covers basic EPS, diluted EPS, the treasury stock method, and anti-dilution with adaptive questions and complete worked solutions.
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