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How-to · Corporate Finance

ROE, ROCE and the DuPont split, in plain words

Two return ratios tell you how hard a company's money is working. Here is what they mean and how to read them.

Ratios That Reveal cover
Returns tell you how well a company uses the money given to it; the DuPont split tells you why.
The idea

Two returns every manager should know

Margins tell you how much profit a company makes on each ₹100 of sales. Returns tell you how much it makes on each ₹100 of money invested in it. A business can have thin margins and excellent returns (a supermarket), or fat margins and poor returns (a luxury hotel that needed huge buildings).

ReturnFormulaQuestion it answersVardhan
Return on equity (ROE)Profit after tax ÷ equityWhat do the owners earn on their money?17.5%
Return on capital employed (ROCE)EBIT ÷ (equity + borrowings)What does the business earn on all the long-term money in it?20.0%
Return on assets (ROA)Profit after tax ÷ total assetsHow productive is everything it owns?10.4%
The method

Which return for which question

You are…UseBecause
A shareholder or investorROEIt is your return, after lenders are paid
A business head judging a unitROCE (or return on segment assets)Funding decisions are made elsewhere; judge the operations
A lenderROCE and interest coverYou want the business to earn well above the interest rate
Comparing companies with different debtROCEROE would reward the most borrowed company
Judging a bank or NBFCROE and return on assetsDebt is their raw material, not a choice

Return on assets is useful for asset-heavy businesses and for banks, but for most companies ROE and ROCE together tell the story.

The method

The DuPont split

In the 1920s, managers at the DuPont company in the US used a simple identity to understand their returns. Return on equity can be written as three ratios multiplied together:

ROE = profit margin × asset turnover × leverage= (PAT ÷ revenue) × (revenue ÷ total assets) × (total assets ÷ equity)
DriverFormulaQuestionVardhan
Profit marginPAT ÷ revenueHow much profit per ₹100 of sales?8.4%
Asset turnoverRevenue ÷ total assetsHow many rupees of sales per rupee of assets?1.23×
LeverageTotal assets ÷ equityHow many rupees of assets per rupee of owners' money?1.69×
ROEMultiply the three17.5%

Revenue cancels with revenue and total assets with total assets, so the three multiply back to PAT ÷ equity. Check: 8.4% × 1.23 × 1.69 ≈ 17.5%.

Example

Three routes to the same kind of ROE

Here are the three companies through the DuPont lens. Their ROEs don't look wildly different. Their routes are.

Year 2Profit marginAsset turnoverLeverageROE
Vardhan Kitchenware8.4%1.23×1.69×17.5%
Prakash Appliances7.1%1.33×1.73×16.4%
Shree Steelcraft3.3%0.90×3.33×10.0%
  1. Vardhan earns its return through margin. Strong brands and its own factories give it the best margin of the three.
  2. Prakash earns it through turnover. Lower margins, but it outsources manufacturing, so it needs fewer assets for each rupee of sales.
  3. Shree leans on debt. Weak margin and slow-moving assets give a return on assets of only 3%; leverage of 3.33× lifts that to a 10% ROE, at a heavy cost in risk.

Notice that the ranking by ROE (Vardhan, Prakash, Shree) is not the ranking by risk. Prakash reaches almost the same ROE as Vardhan with far less debt, as Chapter 5 shows.

The method

The five-step DuPont

For a deeper look, split the profit margin further into tax, interest and operations. This shows exactly where profit leaks out between operating profit and the owners.

StepFormulaVardhanShree
Tax burdenPAT ÷ PBT0.750.75
Interest burdenPBT ÷ EBIT0.850.47
EBIT marginEBIT ÷ revenue13.2%9.4%
Asset turnoverRevenue ÷ total assets1.230.90
LeverageTotal assets ÷ equity1.693.33
ROEMultiply all five17.5%10.0%

Shree's interest burden of 0.47 says it all: interest takes more than half of its operating profit (EBIT ₹17 cr, interest ₹9 cr). Its operating business, with a 9.4% EBIT margin, isn't bad. Its financing is the problem.

EBIT = PBT + finance costs: Vardhan ₹66 cr, Shree ₹17 cr. Figures rounded.
Try it yourself

Questions from the worksheet: A DuPont split

Fill in your company and two peers. Then circle the driver that explains most of the difference in ROE.

Columns in the worksheet: Company · PAT margin · Asset turnover · Leverage · ROE · Main driver

In three lines

What to remember

  1. ROE is the owners' return; ROCE is the business's return on all long-term capital.
  2. DuPont splits ROE into margin × asset turnover × leverage, which shows why returns differ.
  3. A return is good only if it beats the cost of the money used to earn it.
ROCE
EBIT ÷ (equity + borrowings): return on all long-term capital.
DuPont split
ROE = profit margin × asset turnover × leverage.
Spread
Return minus the cost of capital.

This article is adapted from the book. Examples marked “Example” use invented names and numbers; company stories are based on public sources listed in the book. Education only: not investment, tax or legal advice.