CB1 · explained

Return on capital employed, and the two things that drive it

A jeweller earning ten rupees of profit on every hundred of sales and a grocer earning two can be exactly as good a business. ROCE is the ratio that shows why, because it breaks into a margin and a turnover — and almost every judgement about operating performance is a judgement about which of those two a company is competing on.

CB1 · Business Finance · 9 min read

The question ROCE answers

Someone has put money into this business. Is the business making a decent return on it? That is all ROCE asks, and it is the first ratio to compute about any company, because a business that cannot earn more on its capital than the capital costs is destroying value however impressive its sales are.

ROCE = operating profit ÷ capital employed

Two definitions have to be pinned down before the number means anything.

Operating profit is profit before interest and before tax. Before interest, because capital employed includes the borrowed money, so the return has to be measured before paying for any of it — otherwise you would be comparing a return to the lenders and the owners against capital from the lenders and the owners, having already paid the lenders. Before tax, because tax rates differ between countries and periods and would swamp the comparison.

Capital employed is the long-term money in the business: equity plus long-term debt. Equivalently, and more usefully for reading a balance sheet, it is total assets less current liabilities.

Those two equivalent routes must give the same figure, and checking that they do is the quickest way to catch a misread balance sheet.

The mechanism: ROCE is a product of two ratios

This is the whole page. Multiply the top and bottom of the ROCE fraction by revenue and nothing changes, but the ratio splits in two:

ROCE = (operating profit ÷ revenue) × (revenue ÷ capital employed)

The first factor is the operating margin: how much profit each rupee of sales leaves behind. The second is asset turnover: how many rupees of sales each rupee of capital generates.

So there are exactly two ways to earn a good return on capital, and they are opposites in character.

Margin. Sell a small number of things for a large mark-up. A jeweller, a specialist consultancy, a branded medicine. The capital sits still for a long time and has to earn a lot each time it turns.

Turnover. Sell a very large number of things for a tiny mark-up. A supermarket, a wholesaler, a petrol pump. Each sale earns almost nothing and the capital goes round and round.

Both can reach the same ROCE. The worked example puts a jeweller and a supermarket side by side at 20% and shows them getting there by routes that have nothing in common.

What this immediately tells you

Comparing margins across industries is meaningless

"Their margin is only 2%" is not a criticism of a supermarket, it is a description of the business model. The only comparison with content is margin against the margin of companies competing the same way.

A manager has two levers, not one

And the decomposition says which one is being pulled. Raising the margin means pricing, product mix or cost control. Raising turnover means getting more sales out of the same assets, or the same sales out of fewer — selling a warehouse, cutting inventory, leasing rather than owning. These are different projects, with different risks, and they are often in tension: cutting inventory to lift turnover can lose sales and with them the margin.

The two factors multiply, so a small gain in each is a large gain overall

Five per cent more margin and five per cent more turnover is about ten per cent more ROCE. This is why incremental operational improvement is worth as much as it is, and why the decomposition is a management tool and not only an analyst's.

The trap: what inflates ROCE without improving anything

ROCE has a denominator, and anything that shrinks the denominator raises the ratio. Four of these are worth knowing, because each one makes a company look better while leaving it no better off.

Old assets. Assets are carried at cost less depreciation, so a company with ancient, nearly written-down plant has a small capital employed and a flattering ROCE. The replacement bill is still coming.

Leasing instead of owning, under an accounting treatment that keeps the asset off the balance sheet. Same operations, smaller denominator.

A year-end snapshot. Capital employed is measured at one instant and profit over a whole year. A seasonal business reports very different ROCE depending on the date chosen, which is why an average of opening and closing capital is the better denominator when you have both.

Revaluation, in reverse. Writing an asset up to market value is honest and lowers ROCE. A company that has never revalued looks more profitable than an identical one that has.

None of these is fraud. All of them mean ROCE is comparable between two companies only when you have asked how each arrived at its denominator.

Where marks are lost

Using profit after interest. The single most common error. Interest is the cost of part of the capital in the denominator, so taking it out of the numerator asks the ratio to answer two questions at once.

Computing one ratio and stopping. A ROCE with no decomposition and no comparator is a number, not an analysis. Say what the margin and turnover are, and what they imply.

Ignoring the trend. One year's ROCE says much less than three years of it. A falling margin with rising turnover is a company buying volume with price, and that story is invisible in a single year.

Treating a high ROCE as unambiguously good. It can also mean a business that has stopped investing — which shows up as rising ROCE and shrinking capital employed at the same time.

Questions students ask

How does this relate to return on equity?

ROCE measures the return on all the long-term money; return on equity measures what is left for the shareholders after the lenders have been paid. The link between them is gearing, which is the next page, and the relationship is exact rather than vague.

Should capital employed include the overdraft?

Strictly no, because it is a current liability, and the standard definition takes current liabilities out. But an overdraft that is renewed every year is long-term borrowing in a short-term costume, and a good answer says which treatment it has used and why rather than hoping nobody asks.

What counts as a good ROCE?

There is no universal figure, and quoting one would be inventing a fact. The honest benchmarks are three: the company's own ROCE in earlier years, the ROCE of companies competing the same way, and the company's cost of capital. The third is the one that decides whether value is being created at all, and it is the subject of the cost-of-capital page.

A worked example

An invented example, built for this page. Two retailers, both made up, with figures chosen so every division is exact.

Two companies, one return

Ratna JewellersSabzi Mart (groceries)
Revenue₹500 lakh₹2,000 lakh
Operating profit₹50 lakh₹40 lakh
Capital employed₹250 lakh₹200 lakh

Compute the three ratios from the printed figures.

RatnaSabzi Mart
Operating margin50 ÷ 500 = 10%40 ÷ 2,000 = 2%
Asset turnover500 ÷ 250 = 2.0 times2,000 ÷ 200 = 10.0 times
ROCE, directly50 ÷ 250 = 20%40 ÷ 200 = 20%
ROCE, as margin × turnover10% × 2.0 = 20%2% × 10.0 = 20%

The last two rows are the check: the direct division and the decomposition give the same 20% for both companies, which they must, because the decomposition is the same fraction with revenue cancelled.

Ratna's margin is five times Sabzi Mart's. Sabzi Mart's turnover is five times Ratna's. The two differences cancel exactly, and as a use of the owners' money the two businesses are identical. Anyone who looked only at the margin column would have called one of them five times better than the other.

Two routes to the same improvement, which are not the same project

Sabzi Mart's board wants ROCE up from 20% to 25%. There are two ways, and the decomposition prices both.

Route A: lift the margin. Hold turnover at 10.0 and raise the margin to 2.5%.

ROCE = 2.5% × 10.0 = 25%

In money, from the printed figures: revenue stays at ₹2,000 lakh, so operating profit must reach 2.5% × 2,000 = ₹50 lakh, and 50 ÷ 200 = 25%. The two routes agree.

Route B: lift the turnover. Hold the margin at 2% and raise turnover to 12.5 times.

ROCE = 2% × 12.5 = 25%

In money: revenue becomes 12.5 × 200 = ₹2,500 lakh, operating profit 2% × 2,500 = ₹50 lakh, and 50 ÷ 200 = 25%. Agreed again, and by the same ₹50 lakh of profit as Route A.

So both routes need exactly ₹10 lakh more operating profit, and they are completely different pieces of work. Route A finds ₹10 lakh on the same sales: a quarter of a per cent on prices, or the same cut in costs. Route B finds ₹500 lakh of extra sales out of the same ₹200 lakh of capital, at the existing thin margin. Which is achievable is a question about the business; that they are worth the same is a question the arithmetic has already settled.

What the denominator can do on its own

Now a third route that improves nothing. Suppose Sabzi Mart sells a warehouse for ₹40 lakh and rents an identical one, with the rent exactly offsetting the depreciation it no longer charges, so operating profit stays at ₹40 lakh. Capital employed falls to ₹160 lakh.

ROCE = 40 ÷ 160 = 25%

The same 25% as Routes A and B, with no extra sales and no extra profit. The decomposition shows where it came from: the margin is unchanged at 2%, and turnover has risen to 2,000 ÷ 160 = 12.5 times — which is Route B's turnover reached by shrinking the denominator instead of growing the numerator. 2% × 12.5 = 25%, consistent with the direct calculation.

This is why a rising ROCE is a question and not an answer. Decompose it, then ask whether the numerator grew or the denominator shrank, and whether the business is better off either way.

Where this fits in CB1

This page explains one idea from CB1 Business Finance. The full CB1 syllabus, with what each part is examined on, sits on the course page, and past-paper style mock exams with full solutions are where you find out whether the idea has stuck under time pressure.

Other CB1 topics explained

Stuck on a term rather than the idea? The actuarial glossary defines the notation used above. If something here is wrong or unclear, tell us — these pages get corrected.