Residual Income Model
Key Takeaways
- The residual income model values a stock as book value plus the present value of future excess earnings
- Residual income is the earnings above the required return on equity capital
- The model works for both dividend-paying and non-dividend-paying companies
- It emphasizes economic profit rather than accounting profit
Definition
The residual income model (RIM) is a valuation approach that estimates a stock's intrinsic value by adding the company's current book value to the present value of expected future residual income. Residual income is the net income that exceeds the required return on equity, representing the economic profit created above and beyond what shareholders demand.
Unlike the dividend discount model, the residual income model works for companies that do not pay dividends, making it more versatile. It also anchors the valuation to a tangible starting point (book value) and then adds only the excess value created by superior earnings performance.
The model is particularly useful for financial institutions like JPMorgan Chase (JPM) and Bank of America (BAC), where book value is a meaningful economic measure and return on equity is a key performance indicator.
How It Works
The formula is: Value = Book Value₀ + Σ [RIt / (1 + r)^t], where RIt = Net Income_t - (r × Book Value_{t-1}). Here, r is the required return on equity, and residual income equals actual net income minus the equity charge (the minimum return shareholders require on their invested capital).
If a company earns exactly its cost of equity, residual income is zero, and the stock should trade at book value. If it earns above the cost of equity, residual income is positive, and the stock deserves a premium to book value. If it earns below, the stock should trade at a discount.
The model can be applied using a finite forecast of residual income with a terminal value, or by assuming residual income fades to zero over time as competitive advantages erode. The fade rate and persistence of excess returns are key assumptions that significantly affect the valuation.
Example
JPMorgan Chase (JPM) has a book value per share of $100 and is expected to earn $16 per share next year. With a cost of equity of 10%, the equity charge is $100 × 10% = $10 per share. Residual income = $16 - $10 = $6 per share. If this excess return persists for 5 years and then fades, the present value of residual income might total $22 per share. Intrinsic value = $100 + $22 = $122 per share. If JPM trades at $180, the difference may reflect growth expectations or intangible value not captured in book value.
Why It Matters
The residual income model is valuable because it directly measures whether a company creates or destroys economic value for shareholders. A company can be profitable in accounting terms but still destroy value if its earnings do not exceed the cost of equity. RIM captures this distinction explicitly.
The model is also useful for evaluating management performance and capital allocation decisions. Companies that consistently generate positive residual income are creating shareholder value, while those with negative residual income are not earning enough to justify the capital invested in the business.
Advantages
- Works for both dividend-paying and non-dividend-paying companies
- Anchored to book value, providing a tangible starting point for valuation
- Explicitly measures economic profit above the cost of equity capital
- Useful for financial institutions where book value is economically meaningful
Limitations
- Relies on accounting book value, which can be distorted by historical cost accounting
- Requires accurate estimates of future earnings and cost of equity
- Book value may not reflect true economic value for asset-light companies
- Assumes clean surplus accounting, where all gains and losses flow through net income
Frequently Asked Questions
Related Terms
Browse more definitions in the financial terms glossary.