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Residual Income and Economic Value Added (EVA)

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Cost of Equity and CAPM ApplicationStock Valuation FundamentalsEnterprise Value and Valuation Multiples
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

Understanding ZeroThe Number ZeroCounting to FiveCounting to 10Counting to 20Counting a Set of Objects Up to 20Cardinality: The Last Number CountedMatching Numerals to QuantitiesSubitizing Small QuantitiesAddition Within 10Number Bonds to 10Addition Within 20Doubles and Near DoublesDoubles Facts Within 10Near Doubles Facts Within 20Mental Math Strategies for AdditionMental Math: Adding and Subtracting TensAddition Within 100Repeated Addition as MultiplicationMultiplication as Equal GroupsMultiplication: ArraysBasic Multiplication Facts (0s, 1s, 2s, 5s, 10s)Multiplication 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 100Multiplication and Division Fact FamiliesRelationship Between Multiplication and DivisionDivision Facts as Inverse of MultiplicationRemainders and Quotients in DivisionDivision Word ProblemsMulti-Step Word ProblemsSolving Multi-Step Word ProblemsMultiplication Word ProblemsDivision Word ProblemsIntroduction to Long DivisionFactors and MultiplesPrime and Composite NumbersEquivalent FractionsRelating Fractions and DecimalsDecimal Place ValueIntegers and the Number LineComparing and Ordering IntegersAbsolute ValueAdding IntegersSubtracting IntegersMultiplying IntegersDividing IntegersUnit RatesProportionsPercent ConceptConverting Between Fractions, Decimals, and PercentsOperations with Rational NumbersTwo-Step EquationsSolving Multi-Step EquationsEquations with Variables on Both SidesAngle Pairs: Complementary, Supplementary, and VerticalParallel Lines and TransversalsCorresponding AnglesAlternate Interior AnglesTriangle Angle Sum TheoremExterior Angle TheoremTriangle Inequality TheoremSimilar Triangles: AA SimilaritySimilar Triangles: SSS and SAS SimilarityProportions in Similar TrianglesRight Triangle Trigonometry IntroductionSine, Cosine, and Tangent RatiosTrigonometric Ratios ReviewRadian MeasureConverting Between Degrees and RadiansThe Unit CircleGraphing Sine and CosineGraphing Tangent and Reciprocal Trigonometric FunctionsDerivatives of Trigonometric FunctionsAntiderivativesIndefinite IntegralsBasic Integration RulesRiemann SumsDefinite Integral DefinitionDouble Integrals: Definition and SetupIterated Integrals and Fubini's TheoremDouble Integrals over Rectangular RegionsDouble Integrals over General RegionsApplications of Double Integrals: Area, Mass, and MomentsCenter of MassConservation of Linear MomentumElastic CollisionsInelastic CollisionsCoefficient of RestitutionCollision Analysis and Real-World ApplicationsTwo-Body Collisions in the Center-of-Mass FrameReduced Mass and Two-Body ProblemsKinematics in Two DimensionsProjectile MotionCircular Motion: KinematicsSimple Harmonic MotionIntroduction to Differential EquationsSolow Growth ModelCapital Accumulation and the Golden RuleInvestment Demand and Capital FormationAggregate 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)

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