DuPont Analysis (CFA): 3-Step vs 5-Step and the Missing Component

DuPont analysis is one of the highest-frequency calculations in Level 1 Financial Statement Analysis, and it is also one of the easiest to lose marks on for a reason that has nothing to do with difficulty: candidates memorise the components without memorising the order, and DuPont questions are almost always about the order.

The three-step decomposition

ROE = Net profit margin × Asset turnover × Financial leverage

Written out:

ROE = (Net income / Revenue) × (Revenue / Average total assets) × (Average total assets / Average shareholders' equity)

Notice what happens: revenue cancels, average total assets cancels, and you are left with net income over average equity — which is ROE. The decomposition does not change the number; it explains where the number comes from.

What each term measures:

• Net profit margin — profitability. How much of each unit of revenue survives to the bottom line.
• Asset turnover — efficiency. How much revenue the asset base generates.
• Financial leverage — how much of the asset base is funded by equity rather than debt. Also called the equity multiplier.

The five-step decomposition

The five-step version breaks net profit margin into three components, isolating the effects of tax and interest:

ROE = Tax burden × Interest burden × EBIT margin × Asset turnover × Financial leverage

• Tax burden = Net income / EBT. Equals (1 − effective tax rate). A firm paying 25% tax has a tax burden of 0.75.
• Interest burden = EBT / EBIT. Shows how much operating profit survives interest expense. A firm with no debt has an interest burden of 1.0.
• EBIT margin = EBIT / Revenue. Operating profitability before financing and tax effects.
• Asset turnover = Revenue / Average total assets.
• Financial leverage = Average total assets / Average equity.

The structure is easier to remember as a chain running up the income statement: net income → EBT → EBIT → revenue → assets → equity. Each ratio takes consecutive links in that chain, so every intermediate term cancels.

Memorising the chain rather than five separate ratios is the difference between reconstructing the formula in ten seconds and guessing at it.

Solving for a missing component

This is the question format that actually appears. You are given ROE and four of the five components, and asked for the fifth.

Worked example. A firm reports ROE of 18%. Tax burden 0.70, interest burden 0.85, asset turnover 1.2, financial leverage 2.5. What is the EBIT margin?

0.18 = 0.70 × 0.85 × EBIT margin × 1.2 × 2.5

0.70 × 0.85 = 0.595. Then 0.595 × 1.2 × 2.5 = 1.785

EBIT margin = 0.18 / 1.785 = 10.1%

Mechanically simple. The only way to fail it is to have the components wrong — which is why the chain matters more than the individual definitions.

Using DuPont to diagnose

The genuinely interesting questions ask you to explain why two firms with identical ROE are different businesses, or why a firm's ROE changed.

Two firms, both 20% ROE:

• Firm A: margin 20%, turnover 0.5, leverage 2.0. A high-margin, low-volume business — luxury goods, software, pharmaceuticals.
• Firm B: margin 2%, turnover 5.0, leverage 2.0. A low-margin, high-volume business — grocery retail, distribution.

Same ROE, entirely different risk profiles. Firm B's thin margin means a small cost increase can eliminate profitability; Firm A's low turnover means it is asset-heavy and slower to scale.

The leverage warning. The most important diagnostic use of DuPont is spotting ROE that is manufactured rather than earned. A firm can raise ROE simply by increasing leverage — borrowing to buy back shares reduces equity, raising the multiplier, without improving the business at all.

When a question shows ROE rising while margin and turnover are flat or falling, the answer is leverage, and the correct interpretation is that the quality of the ROE has deteriorated even though the number improved. This is a favourite examiner setup.

Common errors

Treating tax burden and interest burden as percentages. They are ratios below 1, not rates. A tax burden of 0.75 means 75% of pre-tax income survives tax — it is not a 75% tax rate. Candidates who invert this produce answers that are wrong by a large multiple.

Using ending balances instead of averages. Asset turnover and financial leverage use average total assets and average equity, computed as the mean of opening and closing balances. Questions supply both years' balance sheets specifically to test this.

Mixing three-step and five-step components. Net profit margin belongs to the three-step version. Using it alongside tax and interest burden double-counts those effects.

Forgetting what a rising leverage multiplier means. Higher financial leverage means more debt relative to equity. Candidates occasionally read a rising multiplier as strengthening.

Where it connects

The sustainable growth rate uses ROE directly: g = retention ratio × ROE. Since DuPont decomposes ROE, it also decomposes the drivers of a firm's sustainable growth — which is why the same components reappear in the equity valuation material when justifying a growth assumption in the Gordon growth model.

The leverage component also links to WACC and capital structure. A firm raising leverage lifts ROE and, past a point, raises the cost of both debt and equity. Questions that ask whether a leverage-driven ROE improvement is sustainable are testing whether you connect those two ideas.

Exam checklist

• Memorise the chain — net income, EBT, EBIT, revenue, assets, equity
• Tax burden and interest burden are ratios below 1, not rates
• Use average, not ending, assets and equity
• ROE rising on leverage alone is lower-quality ROE
• Do not mix three-step and five-step components