Why this is mistaken
The numerator-only story
Harbor reports 30% ROE and Beacon 24%. The mistake concludes that Harbor earns more efficiently from operations.
Why it fails
Both report 12% ROA. Harbor's equity multiplier is 2.50, compared with Beacon's 2.00. The ROE difference is financing amplification under the packet's aligned averages, not a difference in net income per average asset dollar.
ROE can also rise when distributions or repurchases reduce equity. That denominator effect need not represent stronger operations.
How to diagnose it
Reconcile direct ROE to ROA multiplied by the equity multiplier. If the multiplier disappears from the explanation, the response is not merely incomplete arithmetic; it uses the wrong performance model.
Corrective approach
Compute ROA, the equity multiplier, and ROE separately. Attribute the arithmetic difference, reconcile equity, then inspect liability composition, financing cost, maturity, cash flow, and risk before interpreting the leverage choice.
When this mistake may appear
- Two companies have the same ROA but different ROE.
- A distribution or loss changes equity while income is unchanged.
Your work may contain this mistake if:
- Calls the higher-ROE entity more operationally efficient without computing ROA or the multiplier.
- Ignores that a smaller equity denominator can raise ROE.