What it means
Ordinary accounting profit deducts interest paid to lenders but never charges anything for the money shareholders have left in the business. Residual income corrects that by subtracting an equity charge, which is the book value of equity multiplied by the return shareholders expect for taking the risk.
That correction changes how a business looks. A subsidiary reporting $8,000,000 of profit on $100,000,000 of equity is earning 8%, and if shareholders require 10% it is quietly destroying value despite the healthy looking profit line.
For valuation, the model says a company is worth its current book value plus the present value of all future residual income. If the business only ever earns its required return, it is worth exactly its book value, which is an intuitive result and a useful anchor.
The model is favoured for companies that retain most of their earnings, since dividend based models struggle when there are no dividends to discount. It also front loads value into a figure you can read straight from the balance sheet, so less of the answer depends on a distant terminal value.
Its weakness is a heavy reliance on accounting numbers. Book value can be distorted by past write-offs, revaluations, capitalised development costs and acquisition goodwill, so analysts usually make adjustments before the model produces a sensible answer.
The same arithmetic appears under other names in management reporting, notably economic value added, which applies the charge to total capital rather than to equity alone. The label differs but the underlying idea, charging a business for the capital it consumes, is identical.
In practice
Real-world examples.
Example
An analyst valuing a fast growing software firm that has never paid a dividend uses the residual income model instead of a dividend discount model. Book value of $220,000,000 plus discounted residual income gives a valuation the client can defend without guessing when dividends might start.
Example
A group finance director applies residual income to each division rather than judging them on operating profit alone. A logistics arm with heavy asset investment drops from second place to last once its equity charge is deducted, which changes the group's investment priorities.
Example
A private investor compares two similar insurers trading at 1.1 and 1.9 times book value. Residual income analysis shows the more expensive one earns 15% on equity against a 9% required return, which justifies most of the premium.
Think of it
“Residual income is like measuring profits after paying 'rent' on the capital investors have tied up in the business.
Formula
Calculation
Residual income = net income - (book value of equity x cost of equity), and value of equity = current book value + present value of future residual income
A regional distribution company has equity book value of $50,000,000, and its shareholders require a 10% return. The equity charge is $50,000,000 x 0.10 = $5,000,000 a year.
The company is expected to earn a steady net income of $8,000,000 a year, so residual income is $8,000,000 - $5,000,000 = $3,000,000 a year.
Treating that as a perpetuity, the present value of the residual income stream is $3,000,000 / 0.10 = $30,000,000. The estimated value of the equity is therefore $50,000,000 + $30,000,000 = $80,000,000, or 1.6 times book value, and the premium exists purely because the business earns 16% on equity when only 10% is required.Case study
Seen in the real world.
This example is illustrative and the company is invented. Aldergate Instruments, a fictional maker of laboratory equipment, reported profits that grew every year for a decade and a management team that was rewarded on profit growth alone.
In the fictional analysis, a new chair asked for a residual income view. Equity book value had grown from $40,000,000 to $145,000,000 while profit grew from $6,000,000 to $13,000,000, so the return on equity had fallen from 15% to 9% against a cost of equity of 11%. Residual income had turned negative, meaning growth had been funded by retaining cash that shareholders could have used better elsewhere.
Aldergate's imaginary board changed the bonus measure from profit growth to residual income, closed two product lines that consumed capital without covering the charge, and returned $30,000,000 to shareholders. Reported profit fell, and the valuation rose.
Watch out
Common mistakes.
- Double counting by adding book value to a valuation that already discounts total future earnings rather than only the residual portion above the equity charge.
- Using the cost of debt or a blended cost of capital as the equity charge rate, when the model requires the return demanded specifically by shareholders.
- Taking book value straight from the balance sheet without adjusting for items such as large impairments or off balance sheet obligations that distort the starting point.
Questions
People also ask.
When is the residual income model better than discounted cash flow?
It is stronger for companies with no dividends and volatile cash flows, and it puts less weight on a terminal value that can dominate a cash flow model.
How do I estimate the cost of equity?
Most analysts use the capital asset pricing model, adding a risk premium based on the share's sensitivity to the market onto a risk free government bond rate.
Is residual income the same as economic value added?
They are close cousins, but economic value added charges for all invested capital including debt, while residual income in this model charges for equity only.
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