What it means
Basic earnings per share divides the profit attributable to ordinary shareholders by the weighted average number of ordinary shares in issue during the period. It answers the question of how much the company earned for each share that exists.
But many companies have issued instruments that will or may become shares: options granted to employees, warrants issued to investors or lenders, bonds and preference shares convertible into ordinary shares. If those instruments are exercised or converted, the same profit will be spread across more shares, and each existing share's slice will shrink.
Diluted earnings per share measures the slice after that shrinkage, so that shareholders can see the earnings per share they are actually entitled to once all the outstanding claims are honoured. The calculation adjusts both the numerator and the denominator for each dilutive instrument.
For options and warrants, the treasury stock method is used: the instruments are assumed exercised at the start of the period, the cash the company would receive is assumed to be used to buy back shares at the average market price for the period, and only the net increase in shares, exercised shares less shares repurchased, is added to the denominator. Options whose exercise price is above the average market price are out of the money, would not be exercised, and are excluded.
For convertible bonds and convertible preference shares, the if-converted method is used: the instruments are assumed converted at the start of the period, the shares issued on conversion are added to the denominator, and the interest or preference dividends that would no longer be paid, net of tax, are added back to the numerator. Only dilutive instruments are included.
An instrument is dilutive if including it reduces earnings per share; if its inclusion would raise earnings per share, it is antidilutive and left out, so that the diluted figure never exceeds the basic. This can happen with a convertible whose interest saving per new share exceeds basic earnings per share, or with any instrument when the company has a loss.
The standard procedure ranks the instruments from most to least dilutive, by their incremental earnings per share, and adds them in that order, stopping when the next one would raise the figure. The gap between basic and diluted earnings per share is itself informative.
A small gap means few outstanding claims; a large one means the company has granted or issued substantial rights over its future shares, typically through employee option schemes in growth companies or through convertible financing in companies that could not raise straight debt or equity on acceptable terms. The gap is sometimes called the overhang, and it tells existing shareholders how much of the company's future earnings has already been promised to others.
For a valuation, the diluted share count is the right one to use, since a buyer of the whole company would have to satisfy the options and convertibles. The figure has limits.
It is calculated on the period's average share price and earnings, so it says nothing about instruments that are out of the money today but might be in the money later. It assumes conversion at the start of the period, which is a convention rather than a prediction.
And it does not capture instruments the company may issue in future, which is why analysts also look at the company's history of issuance and the size of its unallocated option pool. But as a statement of the claims that already exist, it is the figure that matters, and companies that emphasise basic earnings per share when the diluted figure is materially lower are drawing attention to the wrong number.
In practice
Real-world examples.
Example
A technology company reports basic earnings per share of $2.00 and diluted of $1.72, the gap reflecting employee options over 24% of its share capital, and analysts value the company on the diluted figure.
Example
A company with a loss for the year reports diluted earnings per share equal to its basic loss per share, because including options would reduce the loss per share and so is antidilutive.
Example
A bank's convertible capital instruments would add 8% to its share count on conversion, and its diluted earnings per share is correspondingly lower than its basic figure.
Think of it
“Diluted EPS shows earnings per share if everyone converted their options and convertibles to stock.
Formula
Calculation
Basic earnings per share = (Net income minus Preference dividends) / Weighted average ordinary shares
Diluted earnings per share = (Net income minus Preference dividends + After-tax interest and preference dividends on dilutive convertibles) / (Weighted average ordinary shares + Net shares from dilutive options and warrants + Shares from dilutive convertibles)
Treasury stock method: Net new shares = Options exercised minus (Options exercised x Exercise price / Average market price)
If-converted method: add the shares on conversion to the denominator and the after-tax interest saved to the numerator
Test: include an instrument only if it reduces earnings per share
Worked example. A company has net income of $12,000,000 and 10,000,000 ordinary shares in issue throughout the year. It has 1,000,000 employee options with an exercise price of $15, the average share price for the year was $25, and it has $20,000,000 of 5% convertible bonds convertible into 1,500,000 shares. The tax rate is 25%.
- Basic earnings per share = $12,000,000 / 10,000,000 = $1.20
- Options (treasury stock method): exercise proceeds = 1,000,000 x $15 = $15,000,000; shares repurchased at $25 = 600,000; net new shares = 1,000,000 minus 600,000 = 400,000; incremental earnings per share of the options is zero (no numerator effect), so they are the most dilutive and are included first
- After options: $12,000,000 / 10,400,000 = $1.154
- Convertible bonds (if-converted): interest saved = $20,000,000 x 5% = $1,000,000; after tax $750,000; shares on conversion 1,500,000; incremental earnings per share = $750,000 / 1,500,000 = $0.50, which is below $1.154, so the bonds are dilutive and are included
- Diluted earnings per share = ($12,000,000 + $750,000) / (10,000,000 + 400,000 + 1,500,000) = $12,750,000 / 11,900,000 = $1.07
The diluted figure is 11% below the basic. If the convertible bonds had been convertible into only 500,000 shares, their incremental earnings per share would have been $750,000 / 500,000 = $1.50, above $1.154, and they would have been antidilutive and excluded; diluted earnings per share would then have been $1.154.Case study
Seen in the real world.
A fast-growing software company with net income of $50,000,000 and 25,000,000 shares reported basic earnings per share of $2.00. It had used options generously to recruit and retain engineers: 6,000,000 options were outstanding at an average exercise price of $20, against a share price averaging $60 during the year.
Under the treasury stock method the options' exercise would bring in $120,000,000, enough to repurchase 2,000,000 shares at $60, so the net dilution was 4,000,000 shares. Diluted earnings per share was $50,000,000 / 29,000,000 = $1.72, 14% below the basic figure.
The company's investor presentations led with the basic figure and its growth. A fund manager considering an investment reworked the valuation on the diluted number and drew a different conclusion. At the sector's multiple of 25 times earnings, the basic figure supported a share price of $50, but the diluted figure supported $43.
The fund manager also noted that the company had granted new options each year equal to about 4% of its share capital, that the unallocated pool would allow the same for three more years, and that the share count was therefore likely to grow faster than the diluted figure implied. Her model added a further 3% a year of dilution and valued the company below its current price. She did not invest, and her note to the investment committee observed that the company's earnings growth was real but that a growing share of it belonged to employees rather than to shareholders.
The company's board, hearing similar points from other investors, changed its practice. Its results releases led with diluted earnings per share, its option grants were reduced and partly replaced by restricted shares with a lower dilutive effect per dollar of value delivered, and it began buying back shares to offset the dilution from exercises.
The gap between basic and diluted narrowed over three years from 14% to 6%. The chief financial officer's comment was that the company had been reporting the earnings of a share count that no longer existed, and that investors had noticed before management did.
Watch out
Common mistakes.
- Adding all options to the share count without applying the treasury stock method, which overstates dilution by ignoring the cash the company would receive on exercise.
- Including antidilutive instruments, such as out-of-the-money options or convertibles whose interest saving per share exceeds basic earnings per share, which would wrongly raise the diluted figure above the basic.
- Valuing a company on basic earnings per share when it has a large overhang of options or convertibles; the diluted figure reflects the claims that already exist on its earnings.
Questions
People also ask.
What is the difference between basic and diluted earnings per share?
Basic divides earnings by the shares actually in issue. Diluted divides adjusted earnings by the shares that would be in issue if all dilutive options, warrants and convertibles were exercised or converted. Diluted is always equal to or lower than basic.
What is the treasury stock method?
The assumption, used for options and warrants, that the cash received on exercise is used to buy back shares at the average market price, so that only the net increase in shares is counted as dilution. It reflects the fact that exercise brings money into the company.
Why might diluted earnings per share equal basic?
Because the company has no potentially dilutive instruments, or because all of them are antidilutive, which is always the case when the company reports a loss, since adding shares would reduce the loss per share.
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