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Residual Income and Economic Value Added (EVA)

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Cost of Equity and CAPM ApplicationStock Valuation Fundamentals→→Enterprise 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 Zero → The Number Zero → Counting to Five → Counting to 10 → Counting to 20 → Counting a Set of Objects Up to 20 → Cardinality: The Last Number Counted → Matching Numerals to Quantities → Subitizing Small Quantities → Addition Within 10 → Number Bonds to 10 → Addition Within 20 → Doubles and Near Doubles → Doubles Facts Within 10 → Near Doubles Facts Within 20 → Mental Math Strategies for Addition → Mental Math: Adding and Subtracting Tens → Addition Within 100 → Repeated Addition as Multiplication → Multiplication as Equal Groups → Multiplication: Arrays → Basic Multiplication Facts (0s, 1s, 2s, 5s, 10s) → Multiplication Facts Within 100 → Division as Equal Sharing → Division as Grouping (Measurement Division) → Division: Grouping (Repeated Subtraction) Model → Division: Fair Sharing Model → Division as Equal Sharing → Division as Grouping → Basic Division Facts → Division Facts Within 100 → Multiplication and Division Fact Families → Relationship Between Multiplication and Division → Division Facts as Inverse of Multiplication → Remainders and Quotients in Division → Division Word Problems → Multi-Step Word Problems → Solving Multi-Step Word Problems → Multiplication Word Problems → Division Word Problems → Introduction to Long Division → Factors and Multiples → Prime and Composite Numbers → Equivalent Fractions → Relating Fractions and Decimals → Decimal Place Value → Integers and the Number Line → Comparing and Ordering Integers → Absolute Value → Adding Integers → Subtracting Integers → Multiplying Integers → Dividing Integers → Unit Rates → Proportions → Percent Concept → Converting Between Fractions, Decimals, and Percents → Operations with Rational Numbers → Two-Step Equations → Solving Multi-Step Equations → Equations with Variables on Both Sides → Angle Pairs: Complementary, Supplementary, and Vertical → Parallel Lines and Transversals → Corresponding Angles → Alternate Interior Angles → Triangle Angle Sum Theorem → Exterior Angle Theorem → Triangle Inequality Theorem → Similar Triangles: AA Similarity → Similar Triangles: SSS and SAS Similarity → Proportions in Similar Triangles → Right Triangle Trigonometry Introduction → Sine, Cosine, and Tangent Ratios → Trigonometric Ratios Review → Radian Measure → Converting Between Degrees and Radians → The Unit Circle → Graphing Sine and Cosine → Graphing Tangent and Reciprocal Trigonometric Functions → Derivatives of Trigonometric Functions → Antiderivatives → Indefinite Integrals → Basic Integration Rules → Riemann Sums → Definite Integral Definition → Double Integrals: Definition and Setup → Iterated Integrals and Fubini's Theorem → Double Integrals over Rectangular Regions → Double Integrals over General Regions → Applications of Double Integrals: Area, Mass, and Moments → Center of Mass → Conservation of Linear Momentum → Elastic Collisions → Inelastic Collisions → Coefficient of Restitution → Collision Analysis and Real-World Applications → Two-Body Collisions in the Center-of-Mass Frame → Reduced Mass and Two-Body Problems → Kinematics in Two Dimensions → Projectile Motion → Circular Motion: Kinematics → Simple Harmonic Motion → Introduction to Differential Equations → Solow Growth Model → Capital Accumulation and the Golden Rule → Investment Demand and Capital Formation → Aggregate Demand → The AS-AD Model → Business Cycles → Monetary Policy Tools → Term Structure of Interest Rates → Risk and Return Tradeoff → Expected Return and Variance of Financial Assets → Portfolio Diversification → Mean-Variance Optimization (Markowitz Framework) → Efficient Frontier and Capital Market Line → Capital Asset Pricing Model (CAPM) → Cost of Equity and CAPM Application → Residual Income and Economic Value Added (EVA)

Longest path: 119 steps · 882 total prerequisite topics

Prerequisites (2)

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