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Three-factor DuPont identity

Intermediate quantities must use the same amounts in matching factors.

Read the formula and its variables

ROE=NISSAˉAˉEˉROE=\frac{NI}{S}\frac{S}{\bar A}\frac{\bar A}{\bar E}

Intermediate quantities must use the same amounts in matching factors.

Variables and scope
InputMeaning
NI/SNet margin
S/AAsset turnover
A/EEquity multiplier

Inspect a stated example

6.3% × (3,000/2,100) × 3 gives 27% before intermediate rounding.

The illustrative inputs are not an actual issuer’s data. Match balance coverage, flow period and units before applying the formula.

Keep the conclusion within the evidence

The identity reconstructs a quotient. Causes and persistence require additional evidence.

A ratio change can motivate a further question. It does not automatically identify the transaction, risk or operational outcome that produced it.

Further references