When and why are stock options excluded from diluted EPS as anti-dilutive, and how do you test for anti-dilution?
I'm working through CFA EPS problems and keep getting confused about when options are anti-dilutive. I know out-of-the-money options shouldn't dilute EPS, but what about situations where the company reports a loss? Can in-the-money options still be anti-dilutive? What's the mechanical test?
Anti-dilutive securities are excluded from diluted EPS because including them would increase EPS or reduce the loss per share, which would be misleading. The anti-dilution test depends on both the security type and whether the company reports net income or a net loss.\n\nFundamental Rule:\n\nA potentially dilutive security is anti-dilutive if its inclusion would increase EPS (or reduce loss per share). Such securities must be excluded from the diluted EPS calculation.\n\nStock Options — The Exercise Price Test:\n\nOptions are anti-dilutive when the exercise price exceeds the average market price (out-of-the-money). Under the treasury stock method, out-of-the-money options would result in the company buying back MORE shares than it issues, which would reduce the denominator and increase EPS.\n\nWorked Example:\n\nPinnacle Dynamics has the following:\n\n| Item | Value |\n|---|---|\n| Net income | $12.4M |\n| Basic shares outstanding | 5,000,000 |\n| Option A: 200,000 options, exercise price $30 | Avg market price: $45 |\n| Option B: 150,000 options, exercise price $50 | Avg market price: $45 |\n\nOption A (in-the-money, $30 < $45) — Dilutive:\n- Proceeds: 200,000 x $30 = $6,000,000\n- Shares repurchased: $6,000,000 / $45 = 133,333\n- Net new shares: 200,000 - 133,333 = 66,667 incremental shares\n- These increase the denominator, reducing EPS — dilutive, include\n\nOption B (out-of-the-money, $50 > $45) — Anti-dilutive:\n- Proceeds: 150,000 x $50 = $7,500,000\n- Shares repurchased: $7,500,000 / $45 = 166,667\n- Net new shares: 150,000 - 166,667 = -16,667 shares\n- These would decrease the denominator, increasing EPS — anti-dilutive, exclude\n\nThe Net Loss Exception:\n\nWhen a company reports a net loss, ALL potentially dilutive securities become anti-dilutive. This is because adding shares to the denominator would reduce the loss per share, making the financial performance appear better than it actually is. In a loss year, diluted EPS equals basic EPS.\n\nOrdering Rule:\n\nWhen multiple dilutive securities exist, they must be tested individually in order from most dilutive to least dilutive. If adding a security causes cumulative diluted EPS to exceed the previous step, that security (and all remaining) are anti-dilutive and excluded.\n\nKey Exam Traps:\n- Net loss = always report basic EPS as diluted EPS\n- Options with exercise price equal to market price produce zero incremental shares (neutral, typically excluded)\n- Convertible bonds that are anti-dilutive individually may still need to be tested in the ordering sequence\n\nSharpen your EPS skills in our CFA FRA question bank.
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