Residual Income Calculator

What residual income measures

Accounting profit can be positive while the company still fails to earn its cost of equity. Residual income deducts an equity charge, which is the opportunity cost of shareholders' capital, from net income to show whether the company truly creates economic value.

The concept underpins the residual income valuation model, often shortened to RIM. Instead of valuing a company only from dividends or free cash flow, RIM starts with book value and then adds or subtracts the present value of expected residual income.

Single-period residual income formula

For a one-period economic profit check, subtract the required income from reported net income. Required income is the equity capital base multiplied by the cost of equity. Positive residual income means the company earned more than shareholders required for the risk of the equity capital.

This single-period result is useful for value creation analysis, segment performance, and management discussion. It should not be confused with household disposable income or mortgage residual income tests, which use a different meaning of the phrase.

Residual income valuation model

A residual income valuation calculator extends the one-period formula by forecasting future residual income per share. The model begins with current book value per share, estimates EPS from return on equity, deducts dividends through the payout ratio, and discounts each year's residual income at the cost of equity.

Intrinsic value is book value per share plus the present value of explicit forecast residual income plus the present value of continuing residual income. A company with ROE above its cost of equity can justify a value above book value. A company with ROE below its cost of equity can be worth less than book value even if it reports positive net income.

Worked example: equity charge and residual income

A company earns 500,000 in net income with 3,000,000 in equity capital and a 10% cost of equity. The equity charge is 3,000,000 x 10%, or 300,000. Residual income is 500,000 - 300,000, or 200,000. The company creates 200,000 of economic value for that period.

If the same company earned only 200,000, the accounting profit would still be positive, but residual income would be -100,000. That result says shareholders did not earn enough to cover the required return on the equity capital tied up in the business.

Worked example: residual income model value

Suppose book value is 30 per share, expected ROE is 16%, cost of equity is 10%, the payout ratio is 35%, and the forecast period is five years. The first year's EPS is 30 x 16%, or 4.80. The required equity return is 30 x 10%, or 3.00. First-year residual income is 1.80 per share.

The calculator repeats that clean-surplus logic through the forecast period, discounts each residual income amount, adds a continuing residual income value, and then adds the present values to starting book value. If the market price is 42 and the model value is about 62.67, the valuation gap is about 20.67 per share before considering business-quality and assumption risk.

Choosing ROE, cost of equity, payout, and terminal growth

ROE should describe sustainable earning power, not a one-off spike from unusual gains, leverage, or buybacks. Cost of equity should reflect the required return for the risk of the stock. A higher cost of equity raises the equity charge and lowers the value of future residual income.

The payout ratio matters because retained earnings increase future book value in a clean-surplus model. A low payout can compound book value faster when ROE is strong, but it can also compound value destruction if ROE is below the cost of equity. Terminal residual income growth must stay below the cost of equity because a perpetual-growth model cannot support growth equal to or above the discount rate.

How residual income differs from DCF, EVA, and book value screens

A DCF model values forecast free cash flow directly and often adjusts enterprise value for net debt and shares. A residual income model values equity from book value plus abnormal earnings, which can be helpful when dividends are irregular or free cash flow is hard to interpret.

Economic value added, or EVA, is closely related but usually works from operating profit and total invested capital. The residual income approach on this page is equity-focused: it uses net income, book equity, ROE, and cost of equity. A simple book-value screen looks only at price versus book; residual income asks whether that book value can earn more than its required return.

Limitations and audit checks

Residual income analysis relies on accounting book values, which may not reflect economic reality. Goodwill, intangible assets, write-downs, off-balance-sheet obligations, unusual tax effects, and leverage can all distort the book equity base.

Cost of equity estimation introduces model risk. CAPM inputs, beta, risk-free rates, equity risk premiums, and company-specific adjustments can move the required return materially. Use the result as a structured valuation check, not as a buy or sell recommendation.

The best use is comparative. Review the residual income result beside DCF, Graham Number, dividend discount, peer multiple, return-on-capital, and company filing analysis. If the calculator shows value creation but the business cannot sustain excess ROE, the apparent margin of safety can disappear.