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Return on Capital (ROC), Return on Invested Capital (ROIC) and Return on Equity (ROE):
Measurement and Implications by Dr. Aswath Damodaran

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The Scale Effect

It stands to reason that the return on capital, as a percentage measure, should be higher for smaller firms and lower for larger firms. When we categorize firms based upon size, using different definitions for size including revenues and market capitalization, there is some correlation between the size of a company and its reported returns. In figure 7, for instance, we report average returns on capital for firms of different size, using invested capital as the measure of size.26

The firms with the smallest and largest amounts of invested capital have the lowest returns, the former because they include a large number of early life-cycle firms that are losing money and the latter because of mature firms.

If we track individual firms as they get larger, there is a strong evidence of a scale effect, as the returns on capital decrease as firms get larger. However, the effect is muted by the fact that we are looking at the aggregate return on capital for the firm rather the marginal return on capital, a point we expand upon in the next section. As to the relevance for return forecasting, this would suggest that forecasted returns on capital and equity should decrease as we go further out in forecast periods, as firms get larger over time. Thus, while a 30% return on capital can be legitimate for the first year of a forecast, the return should be lower five years forward.

Average versus Marginal

The returns that we are computing using the total earnings for the firm and the total capital invested represent average returns across all of the investments that the firm has taken over time. But how good or bad were the investments made just in the most recent time period? . That question is better answered by focusing on the marginal return - the return on just the new investments made in a period. If we begin with the proposition that firms invest in their best projects first and move down their investment schedule to less and less attractive investments, the marginal return on capital (or equity) should be lower than the average return for most firms.

But how do we go about measuring the marginal return? In a perfect world, we would have access to the earnings and cash flow estimates on individual projects, and compute the internal rates of returns on the projects accepted during the period in question. In practice, we not only do not have access to this information, but even if we did, the estimates are likely to be biased.27 One measure, albeit an imperfect one, is based upon the change in earnings and capital invested during the period:

Assume that a firm reports $ 50 million in after-tax operating income on invested capital of $400 million has a return on capital of 12.5%. Now assume that the firm reports aftertax operating income of $ 54 million on invested capital of $500 million the following year. The return on capital for this firm is 10.8%, a healthy number that disguises the poor marginal return on capital that year:

The average returns on capital will be more stable and persistent than the marginal returns on capital, and the difference between the two numbers will widen as the company becomes larger. In fact, it can take several years of sub-standard marginal returns for the average return on capital on a large company to decline sufficiently to warrant attention.

26 We used invested capital as our measure of size, rather than market capitalizations because companies that earn high returns on capital will tend to have high market capitalizations.

27 There is evidence that cash flow projections in capital budgeting tend to be optimistic (and biased upwards). Using these cashflows will generate rates of return that are higher than the true expected returns.

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