Return on equity measures the profit a company generates for every unit of shareholder capital tied up in it. It is the headline profitability ratio in most investment writing, and also the one most easily inflated by things that have nothing to do with operating skill. The return on equity calculator above computes ROE on the base you choose, strips out preferred dividends so the answer belongs to ordinary shareholders, and shows the leverage and sustainable growth figures that determine whether the headline number means anything.
Arb Digital publishes free calculators for the arithmetic between a set of accounts and a decision. ROE takes about four seconds to compute and considerably longer to interpret, which is why the sections below spend most of their time on the interpretation. In particular, this page covers the two situations where ROE actively misleads: heavy borrowing, and an equity base that has been shrunk by buy-backs or accumulated losses.
What This Return on Equity Calculator Does
Enter net income, any preferred dividends, and the common equity at each end of the period. The tool returns ROE as a percentage, along with the equity base it used, the equity multiplier, the matching return on assets, and the sustainable growth rate implied by the current payout policy.
The preferred dividend deduction is the detail most quick calculations skip. Net income is struck before any distribution to shareholders, so if a company has preferred shares, part of that profit is already committed elsewhere. Ordinary shareholders own what is left, and the equity in the denominator should exclude preferred capital for the same reason. Getting one of those two adjustments right and not the other produces a ratio that is internally inconsistent.
The base selector exists for the same reason it does on the asset side: profit is a flow across a year, equity is a balance at an instant. Averaging is the convention. Where a company raised or returned a large amount of capital mid-year, none of the three options is perfect and the honest approach is to look at all three and say which you used.
This page owns the ratio. It does not own the decomposition — splitting ROE into margin, asset turnover and leverage is the job of the DuPont analysis calculator, which is the right tool when you need to know why a return changed. The asset-side counterpart is the return on assets calculator, and for a single project or purchase, which has no equity base at all, use the investment ROI calculator.
How to Use It
- Enter net income after interest and tax. Operating profit is the wrong line: ROE is a shareholder measure and shareholders rank behind lenders and the tax authority.
- Deduct preferred dividends if the company has preferred shares, and exclude preferred capital from the equity figures. If there are none, leave the field at zero.
- Take common equity from both balance sheets. Total equity less preferred share capital, and less any non-controlling interest if the accounts are consolidated.
- Add ordinary dividends to see the sustainable growth rate, which is the pace at which equity can grow from retained profit alone without raising new capital.
- Add average total assets if you want the equity multiplier and the ROA comparison, which together show how much of the return comes from leverage.
The Formula and How It Is Calculated
The core calculation is:
ROE = (net income − preferred dividends) ÷ average common equity × 100
Take the defaults loaded above. Net income is 480,000 and preferred dividends are 30,000, so earnings available to ordinary shareholders are 450,000. Common equity opens at 2,100,000 and closes at 2,500,000, giving an average of 2,300,000. ROE is 450,000 ÷ 2,300,000 = 19.57 percent.
The equity multiplier is average total assets divided by average common equity: 4,000,000 ÷ 2,300,000 = 1.74 times. That is the leverage factor. Return on assets on the same figures is 480,000 ÷ 4,000,000 = 12.00 percent, and the gap between 12.00 and 19.57 percent is what the borrowing contributed. If the company had no debt at all, the multiplier would be close to 1.0 and the two ratios would nearly converge.
Sustainable growth uses the retention ratio: earnings available to ordinary shareholders less ordinary dividends, over those same earnings. Here that is (450,000 − 150,000) ÷ 450,000 = 66.67 percent. Multiply by ROE and you get 19.57 × 0.6667 = 13.04 percent, the rate at which equity can compound on retained profit alone. It is a useful reality check on a growth plan: a business planning to grow revenue at 25 percent a year on a 13 percent sustainable growth rate will need either new capital or more leverage.
Leverage Is the Reason to Distrust a High ROE
Equity is the residual after liabilities are subtracted from assets, which means the denominator of ROE can be made smaller by borrowing more. A company that replaces equity with debt raises its ROE without doing anything to its operations, right up until a downturn arrives and the same leverage works in reverse. This is why a 30 percent ROE is an interesting number rather than an impressive one: the first question is always what the equity multiplier is.
The clean way to separate the two effects is to look at ROE and ROA together, which is what the grid above does. If ROA is healthy and the multiplier is modest, the return is coming from the business. If ROA is unremarkable and the multiplier is four or five, the return is coming from the balance sheet, and it carries the risk that goes with it. The debt-to-equity ratio calculator measures the same leverage from the other direction, and the DuPont analysis calculator quantifies exactly how much of a change in ROE came from each of the three drivers.
None of this makes leverage bad. Debt is cheaper than equity and its interest is usually tax-deductible, so a sensible amount of it genuinely raises shareholder returns. The point is that ROE cannot distinguish between a company earning well and a company borrowing heavily, so it should never be read alone.
When the Equity Denominator Breaks the Ratio
ROE has a structural weakness that no amount of careful arithmetic fixes: the denominator can be small, distorted, or negative. Sustained share buy-backs reduce equity directly, so a mature company returning capital can show a rising ROE while profits are flat. Taken far enough, buy-backs and accumulated losses can push book equity below zero, at which point the ratio is not merely unhelpful but arithmetically meaningless — a negative denominator with positive profit produces a negative percentage that looks like a loss.
Accounting history creates the same problem more quietly. Book equity reflects what was paid in and what has been retained, not what the business is worth, and intangible-heavy companies carry very little of their real productive capacity on the balance sheet. A software firm with a strong brand and no capitalised assets can post an extraordinary ROE that says more about accounting conventions than about performance. The retained earnings calculator shows how the retained component of that equity balance is built up over time, and the equity dilution calculator covers the other direction, where new issuance expands the base.
Preferred capital is the third trap and the easiest to avoid. Earnings available to ordinary shareholders are net income less preferred dividends, and the equity base should exclude preferred share capital. The reporting requirements around earnings attributable to ordinary shareholders are set out in IAS 33, the IFRS standard on earnings per share, which uses the same numerator logic that ROE should.
Making ROE Comparisons That Actually Hold
Three conditions have to be met before two ROE figures can be usefully compared. The companies must be in similar industries, because asset intensity and typical leverage vary hugely. They must be reporting on the same basis, since the presentation and measurement rules under IAS 1 and its US equivalents are not identical in every respect. And the periods must be long enough that a single unusual year does not dominate — five years of ROE tells you far more than one.
Within a single company, ROE is much more reliable, because the distortions are broadly constant across years. A trend that rises steadily while the equity multiplier stays flat is genuine improvement. A trend that rises while the multiplier rises with it is a financing decision. A trend that rises while equity shrinks from buy-backs is a capital allocation decision, and whether it created value depends on the price paid.
All the inputs are in the audited accounts. Every public company publishes them, and the SEC's investor glossary entry on the annual report explains what the document contains. The net income calculator and the dividend yield calculator cover the two figures most often needed alongside this one.
Arb Digital publishes hundreds of free calculators across finance, marketing, food and health — no sign-up, no limits. If the one you need is missing, tell us and we will look at building it.
Web Growth Services Talk to Arb DigitalCommon Mistakes to Avoid
- Leaving preferred dividends in the numerator — that profit is committed to preferred holders, so including it overstates what ordinary shareholders actually earned.
- Reading ROE without the equity multiplier — borrowing raises the ratio mechanically. A high figure with heavy leverage is a different proposition from the same figure without it.
- Using year-end equity for a company that raised capital mid-year — the denominator then covers capital that was only available for part of the period, which understates the return.
- Computing ROE on negative equity — the result is arithmetically meaningless. Where book equity is negative, the ratio should be reported as not applicable rather than as a number.
- Comparing ROE across industries — typical leverage and asset intensity differ so much that a cross-sector ranking measures the sector, not the management.
Related Free Tools From Arb Digital
Run the return on assets calculator alongside this one to separate operating performance from leverage, then use the DuPont analysis calculator to attribute a change in returns to margin, turnover or gearing. The debt-to-equity ratio calculator measures the gearing directly, the retained earnings calculator and equity dilution calculator track how the equity base is built and diluted, and the net income calculator and dividend yield calculator cover profit and distributions. Everything else is on the free online tools hub.
Frequently Asked Questions
ROE is net income less preferred dividends, divided by average common shareholders' equity, expressed as a percentage. Preferred dividends come out of the numerator and preferred capital comes out of the denominator so that both sides describe ordinary shareholders.
Because profit is earned across the whole period while equity is measured at a single date. Averaging the opening and closing balances matches the flow to a comparable base, which matters most when capital was raised or returned during the year.
Yes, mechanically. Equity is what remains after liabilities, so replacing equity with debt shrinks the denominator and raises the ratio without any change to operations. The same leverage magnifies losses in a downturn, which is why the equity multiplier should always be read alongside ROE.
ROA divides profit by the whole asset base, while ROE divides it by shareholders' equity alone. The gap between the two is created entirely by leverage, so comparing them shows how much of a company's return comes from the business and how much from the balance sheet.
There is no single threshold, because typical returns vary by industry and by capital structure. The useful comparisons are against direct competitors over several years and against the same company's own history, with the equity multiplier checked at each point.
It is ROE multiplied by the share of earnings retained, and it estimates how fast equity can grow from profits alone without new capital or extra leverage. A growth plan well above that rate implies the company will have to raise money or borrow more to fund it.
It is negative whenever the company makes a loss, which is informative. It becomes meaningless when book equity itself is negative, since a positive profit over a negative base returns a negative percentage. In that case the ratio should be reported as not applicable.
Repurchasing shares reduces equity directly, so the denominator shrinks while profit is unchanged. A mature company returning capital can therefore post a rising ROE with flat earnings, which is a capital allocation outcome rather than an operating improvement.
This calculator performs arithmetic on figures you supply and is provided for general information only. It is not accounting, investment or valuation advice, and ratio definitions vary between reporting frameworks and data providers — confirm any figure used in a decision, a filing or a valuation with a qualified professional.
