- This calculator computes Return on Equity (ROE) in two modes.
- Units: USD for income and equity; output as both a ratio and a percentage.
- Default rounding: money to 2 decimals; percentages to 2 decimals (display), with full precision used internally.
Definitions:
- Net Income (to common): profit after all expenses, interest, and taxes, minus preferred dividends.
- Shareholders’ Equity (Common Equity): assets minus liabilities attributable to common shareholders at period end; includes retained earnings and paid-in capital.
Formulas:
- Average Equity mode (recommended)
Assumptions:
- Use net income attributable to common shareholders.
- If preferred equity is material, use common equity in the denominator.
- Equity values refer to the same fiscal period as net income.
- When equity fluctuates substantially within the period, average equity better approximates the earning base; weighted averages can improve accuracy if monthly/quarterly balances are available.
Modes supported:
- Average Equity (Beginning & Ending)
- Single Equity Value
Input validation & edge cases:
- Denominator must be nonzero; if zero, ROE is undefined.
- Negative equity or negative income produce negative ROE—report but flag for interpretation.
- Extremely small equity relative to income can produce outsized ROE; consider using multi-year averages.
- Ensure currency consistency; mixing currencies invalidates results.
Rounding:
- Monetary inputs are rounded to 2 decimals on display.
- ROE percentage displayed to 1–2 decimals; ratio shown to 3–4 decimals if needed.
Worked examples:
1) Average Equity
- Net Income = $2,244
- Beginning Equity = $24,435; Ending Equity = $350,000
- Average Equity = (24,435 + 350,000) / 2 = $187,217.50
- ROE (ratio) = 2,244 / 187,217.50 = 0.01198
- ROE (%) ≈ 1.20%
2) Single Equity Value
- Net Income = $50,000
- Equity (single) = $325,000
- ROE (ratio) = 50,000 / 325,000 = 0.153846
- ROE (%) ≈ 15.38%
Interpretation tips:
- Compare ROE to the firm’s cost of equity and peers within the same industry.
- Sustained high ROE with stable leverage suggests durable competitive advantages.
- Decompose with DuPont to analyze drivers:
Data sources (for definitions & best practice):