Residual Income and Economic Value Added (EVA)

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equity-valuation eva performance-measurement

Core Idea

Residual income (net income − equity charge) captures value creation beyond the cost of equity. EVA = NOPAT − (WACC × invested capital) measures true economic profit. Valuation equals book value plus the present value of future residual income.

How It's Best Learned

Calculate EVA for a company and compare to its market premium (market cap − book value). Use residual income projections to value high-growth and mature firms.

Explainer

From your study of stock valuation fundamentals and the CAPM, you know that equity has a cost. Equity investors bear risk and expect compensation — the required return on equity (rₑ) from the CAPM is not free money; it is the minimum return shareholders demand before they would have been better off investing elsewhere. A firm that reports positive net income has not necessarily created value for its shareholders. If net income is $5 million but equity investors required $7 million to compensate for risk, the firm has actually destroyed $2 million in economic value. Residual income makes this explicit: RI = Net Income − (rₑ × Book Equity). It is what remains after charging earnings for the cost of the capital that generated them.

Economic Value Added (EVA) extends the same logic to the full firm, not just equity holders. EVA = NOPAT − (WACC × Invested Capital), where NOPAT is net operating profit after tax (the after-tax operating profit before financing costs) and Invested Capital is the total capital employed in the business (debt plus equity). WACC — the weighted average cost of capital you learned from stock valuation — is the hurdle rate for the whole enterprise. If NOPAT exceeds the capital charge, the firm has created economic profit; if not, it has consumed economic value even if accounting profit is positive. This is why EVA became popular as a performance metric in the 1990s: it aligns managerial incentives with genuine value creation rather than accounting manipulation.

The connection to valuation is elegant. The Residual Income Valuation model says that the intrinsic value of equity equals its current book value plus the present value of all future residual incomes: V₀ = B₀ + Σ [RIₜ / (1 + rₑ)^t]. The intuition is clean: a firm worth exactly its book value creates zero residual income perpetually — it earns exactly its cost of capital, no more. Every dollar of market premium over book value (the P/B ratio above 1) is justified by positive expected future residual income. A firm trading at three times book value is priced to earn positive economic profits for many years into the future.

This framework resolves a practical challenge with dividend discount or DCF models for firms that pay no dividends or have volatile free cash flows. Many growth companies reinvest aggressively — their dividends are zero and their near-term free cash flows are negative, making traditional models awkward. But their book values are observable and their accounting earnings are measurable. The residual income model anchors valuation to the balance sheet and asks only whether earnings are sufficient to justify the equity capital deployed. This makes it particularly useful for valuing financial firms (banks, insurance companies) and early-stage growth companies, and for decomposing where a firm's market-to-book premium actually comes from — which years and business activities are expected to generate above-normal returns.

Practice Questions 5 questions

Prerequisite Chain

Counting to 10Counting to 20Understanding ZeroThe Number ZeroCounting to FiveOne-to-One CorrespondenceCombining Small Groups Within 5Addition Within 10Addition Within 20Two-Digit Addition Without RegroupingTwo-Digit Addition with RegroupingAddition Within 100Repeated Addition as MultiplicationMultiplication Facts Within 100Division as Equal SharingDivision as Grouping (Measurement Division)Division: Grouping (Repeated Subtraction) ModelDivision: Fair Sharing ModelDivision as Equal SharingDivision as GroupingBasic Division FactsDivision Facts Within 100Two-Digit by One-Digit DivisionDivision with RemaindersRemainders and Quotients in DivisionDivision Word ProblemsIntroduction to Long DivisionFactors and MultiplesPrime and Composite NumbersEquivalent FractionsRelating Fractions and DecimalsDecimal Place ValueReading and Writing DecimalsComparing and Ordering DecimalsAdding and Subtracting DecimalsMultiplying DecimalsDividing DecimalsDividing FractionsMixed Number ArithmeticOrder of OperationsInteger Order of OperationsVariable ExpressionsCombining Like TermsOne-Step EquationsTwo-Step EquationsSolving Multi-Step EquationsEquations with Variables on Both SidesLiteral EquationsSlope-Intercept FormPoint-Slope FormWriting Linear EquationsParallel and Perpendicular Line SlopesGraphing Linear EquationsPiecewise FunctionsOne-Sided LimitsContinuity DefinitionLimit Definition of the DerivativePower RuleConstant Multiple and Sum/Difference RulesProduct RuleChain RuleDerivatives of Exponential FunctionsDerivatives of Logarithmic FunctionsImplicit DifferentiationComparative StaticsPrice Elasticity of DemandAggregate DemandThe AS-AD ModelBusiness CyclesMonetary Policy ToolsTerm Structure of Interest RatesRisk and Return TradeoffExpected Return and Variance of Financial AssetsPortfolio DiversificationMean-Variance Optimization (Markowitz Framework)Efficient Frontier and Capital Market LineCapital Asset Pricing Model (CAPM)Cost of Equity and CAPM ApplicationResidual Income and Economic Value Added (EVA)

Longest path: 79 steps · 507 total prerequisite topics

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