Residual Income Calculator
Residual income is the profit a company or division earns after deducting a charge for the equity capital it uses. Unlike accounting profit, it captures the true opportunity cost of investors money. Enter net income, equity capital, and cost of equity to see whether the business is creating or destroying shareholder value. Switch to Managerial mode to evaluate a project using operating income and average operating assets.
Formula
Worked example
A company reports net income of $80,000,000, equity capital of $600,000,000, and a cost of equity of 10%. Equity Charge = 600,000,000 x 10% = $60,000,000. Residual Income = 80,000,000 - 60,000,000 = $20,000,000. ROE = 80/600 = 13.33%, spread = +3.33 percentage points. The business is creating value for shareholders.
What is Residual Income?
Residual income (RI) is the profit that remains after deducting a charge for the cost of equity capital used to generate that profit. Unlike net income, which ignores the implicit cost of equity, RI captures the true economic profit by asking: did the business earn more than shareholders could have made by investing elsewhere at the same risk? When RI is positive the business is creating wealth; when it is negative, accounting profit is masking value destruction because equity capital is not being put to its best use. The concept underpins economic value added (EVA), the residual income model of equity valuation, and divisional performance measurement.
Residual Income vs. Net Income
A company can report positive net income and simultaneously destroy shareholder value. This happens whenever the ROE falls below the cost of equity: the business earns something, but not enough to compensate investors for the risk they bear. The equity charge - equity capital multiplied by the required rate of return - converts an accounting profit figure into an economic one. RI is also superior to simple profit ratios for comparing divisions of different sizes, because it penalises each division proportionally for the capital it consumes.
The Residual Income Valuation Model
The Residual Income Valuation Model (RIM) estimates the intrinsic value of equity as the current book value per share plus the present value of all future residual incomes. The formula is: Intrinsic Value = BVPS + Sum of [RI / (1 + Ke)^t] for each forecast year, plus a terminal value for residual incomes beyond the horizon. Because it anchors to the balance sheet rather than dividends or free cash flow, RIM is especially useful for companies that pay low or no dividends and for financial firms such as banks and insurers where free cash flow is hard to define. The model converges faster than dividend discount models when book value grows predictably.
Managerial (Divisional) Residual Income
In management accounting, RI is used to evaluate whether a division or capital project earns above the company-wide hurdle rate. The formula shifts to: RI = Operating Income - (Average Operating Assets x Required Rate of Return). Average operating assets smooth out the mid-year effect. A positive result is the criterion for project acceptance in a residual income framework, analogous to a positive NPV. It avoids the shortcomings of ROI-based ranking when comparing projects of different scales.
Interpreting the ROE vs. Cost of Equity Spread
| Spread (ROE - Ke) | Signal | Implication |
|---|---|---|
| Greater than 0% | Value creating | Earns above required return; positive residual income |
| Equal to 0% | At break-even | Exactly covers cost of equity; zero residual income |
| Less than 0% | Value destroying | Fails to cover cost of equity; negative residual income |
The spread between ROE and cost of equity determines whether a business creates or destroys economic value.
Frequently asked questions
What is residual income and how is it different from net income?
Net income is the accounting profit after all expenses including interest and tax. Residual income goes one step further: it subtracts an equity charge (equity capital multiplied by the cost of equity) to reflect what shareholders could have earned elsewhere at equivalent risk. A positive residual income means the company earns above this opportunity cost, a negative one means it does not, even if net income is positive.
How do I estimate the cost of equity?
The most common approach is the Capital Asset Pricing Model (CAPM): Cost of Equity = Risk-Free Rate + Beta x Equity Risk Premium. The risk-free rate is typically the current yield on government bonds, beta measures the stocks sensitivity to the market, and the equity risk premium is the expected excess return of equities over the risk-free rate (often 4% to 6% for developed markets). Damodaran publishes country-level risk premiums annually.
When should I use the Residual Income Valuation Model instead of DCF?
RIM is preferred when a company pays little or no dividend, when free cash flow is volatile or negative during a growth phase, or when the firm is a bank or insurer where free cash flow is difficult to define. Because RIM anchors to book value, it also provides a useful sanity check for DCF valuations.
What does a negative residual income mean?
Negative residual income means the company or division earned an accounting profit but failed to cover the full cost of the equity capital it deployed. This is value destruction: shareholders would have been better off investing that capital elsewhere at the required rate of return. Persistent negative RI often precedes a strategic restructuring or asset disposal.
Why does the terminal growth rate matter so much in the valuation model?
The terminal value often accounts for the majority of the intrinsic value estimate in a RIM, especially for long-horizon forecasts. A terminal growth rate above the risk-free rate assumes the company will grow faster than the economy indefinitely, which is rarely sustainable. Most analysts use a rate between zero and the long-run GDP growth rate of the economy (typically 1% to 3% for developed markets).