What is Residual Income?
Residual income (RI), also known as economic profit or economic value added (EVA), is a financial performance metric that measures the true economic profit of a company. Unlike traditional accounting profit (net income), residual income accounts for the opportunity cost of the equity capital invested in the business.
The concept is straightforward: shareholders who invest their money in a company expect a certain return on their investment. This expected return is called the cost of equity. Residual income tells us whether the company is generating enough profit to cover this cost and create additional value.
The Residual Income Formula
The residual income formula is elegantly simple:
Where:
- Net Income: The company's accounting profit after all expenses, interest, and taxes
- Equity Capital: The book value of shareholders' equity (total assets minus total liabilities)
- Cost of Equity: The required rate of return that equity investors expect, typically calculated using CAPM or other models
The term (Equity Capital × Cost of Equity) is often called the "equity charge" — it represents the dollar amount of return that shareholders require as compensation for their investment.
Alternative Formula Using ROE
Residual income can also be expressed as:
This formulation makes it clear that residual income is positive only when the return on equity exceeds the cost of equity.
Residual Income vs. Accounting Income
Understanding the difference between these two measures is crucial for proper financial analysis:
| Aspect | Net Income (Accounting) | Residual Income (Economic) |
|---|---|---|
| What it measures | Profit after all explicit costs | Profit after both explicit and implicit (opportunity) costs |
| Cost of debt | Deducted as interest expense | Deducted as interest expense |
| Cost of equity | Not considered | Deducted as equity charge |
| Value creation indicator | May overstate true profitability | Accurately reflects value creation |
| Investment decisions | May lead to over-investment | Leads to optimal capital allocation |
Understanding Cost of Equity
The cost of equity is the return that equity investors require to compensate them for the risk of investing in the company. There are several methods to estimate it:
Capital Asset Pricing Model (CAPM)
- Risk-Free Rate: Usually the yield on government bonds (e.g., 10-year Treasury)
- Beta: A measure of the stock's volatility relative to the market
- Market Return: The expected return of the overall market
Dividend Discount Model (DDM)
Build-Up Method
For private companies or when market data is unavailable:
Interpreting Residual Income
The interpretation of residual income is straightforward:
- Positive Residual Income: The company is creating economic value. It's earning more than the required return, making shareholders wealthier.
- Zero Residual Income: The company is earning exactly its cost of capital. Shareholders are getting their required return but no excess value is being created.
- Negative Residual Income: The company is destroying economic value. Despite possibly showing accounting profit, shareholders would be better off investing elsewhere.
Residual Income Valuation Model
Residual income is the foundation of a powerful stock valuation approach called the Residual Income Valuation Model (RIVM) or Edwards-Bell-Ohlson (EBO) model:
This model has several advantages:
- Works well for companies that don't pay dividends
- Uses verifiable accounting data (book value)
- Focuses on value creation rather than just cash flows
- Can be applied to companies at any stage of their lifecycle
Advantages and Limitations
Advantages of Residual Income
- True economic measure: Captures the full cost of capital, including equity
- Aligns manager incentives: Discourages investment in projects that don't cover the cost of capital
- Absolute measure: Unlike ROE, it shows dollar value created, not just percentages
- Comparable: Can be compared across divisions regardless of size
- Valuation application: Forms the basis of the residual income valuation model
Limitations of Residual Income
- Cost of equity estimation: Requires subjective estimation of cost of equity
- Book value dependence: Relies on accounting book values which may not reflect economic values
- Short-term focus: May discourage investments that destroy value now but create value later
- Not widely reported: Companies don't typically disclose residual income in financial statements
Calculation Examples
Example 1: Basic Calculation
Company ABC has the following financials:
- Net Income: $8,000,000
- Equity Capital: $50,000,000
- Cost of Equity: 12%
Solution:
Equity Charge = $50,000,000 × 12% = $6,000,000
Residual Income = $8,000,000 − $6,000,000 = $2,000,000
The company creates $2 million in economic value for shareholders.
Example 2: Negative Residual Income
Company XYZ has:
- Net Income: $3,000,000
- Equity Capital: $40,000,000
- Cost of Equity: 10%
Solution:
Equity Charge = $40,000,000 × 10% = $4,000,000
Residual Income = $3,000,000 − $4,000,000 = -$1,000,000
Despite being profitable, the company destroys $1 million in economic value because its 7.5% ROE is below the 10% required return.
Frequently Asked Questions
Can residual income be negative?
Yes, residual income can be negative. This happens when a company's net income is insufficient to cover its equity charge (the cost of equity capital). A negative residual income indicates that the company is not economically profitable, even if it shows positive accounting earnings.
How is residual income different from EVA?
Economic Value Added (EVA) is a trademarked version of residual income developed by Stern Stewart & Co. While conceptually similar, EVA typically involves numerous adjustments to accounting figures (sometimes over 150) to better reflect economic reality. Basic residual income uses unadjusted accounting numbers.
What is a good residual income?
Any positive residual income indicates value creation. However, to determine if a company's residual income is "good," compare it to industry peers and the company's historical performance. Higher residual income relative to equity invested is better.
How do you increase residual income?
Companies can increase residual income by: (1) Increasing net income through revenue growth or cost reduction, (2) Reducing invested capital while maintaining income, (3) Investing only in projects that earn above the cost of capital, or (4) Divesting assets that earn below the cost of capital.
Why doesn't everyone use residual income instead of net income?
Several reasons: (1) Cost of equity must be estimated, introducing subjectivity, (2) GAAP and IFRS require net income reporting, (3) Many stakeholders are familiar with traditional metrics, and (4) Net income is objectively verifiable while residual income is not.