Measuring
Investment Returns
Now
that we have established how critical it is
that we get a reasonable estimate of the return
earned on existing investments, we need to
consider the alternatives. In this section,
we will first explore the two measures of
return based on accounting earnings - return
on capital and return on equity - that are
widely used in practice and then turn our
attention to cash based returns and why they
have not attracted as wide a following in
practice.
Accounting
Returns
Given
that much of the information that we work
with in valuation and corporate finance comes
from accounting statements, it should come
as no surprise that the most widely used measures
of return are based upon accounting earnings.
In keeping with our earlier differentiation
between returns to all capital and just to
equity investors, accounting returns can be
categorized accordingly.
a.
Return on Invested Capital
The
return on capital or invested capital in a
business attempts to measure the return earned
on capital invested in an investment. In practice,
it is usually defined as follows:

There
are four key components to this definition.
The first is the use of operating income rather
than net income in the numerator. The second
is the tax adjustment to this operating income,
computed as a hypothetical tax based on an
effective or marginal tax rate. The third
is the use of book values for invested capital,
rather than market values. The final is the
timing difference; the capital invested is
from the end of the prior year whereas the
operating income is the current year's number.
There are good reasons for each of these practices
and we will examine the details in the sub-sections
that follow.
I.
After-tax Operating Income
The
return on capital measures return generated
on all capital, debt as well as equity, invested
in an asset or assets. Consequently, it has
to consider earnings not just to equity investors
(which is net income) but also to lenders
in the form of interest payments. Thus, operating
income, as a pre-debt measure of earnings,
is used in the computation, and it is adjusted
for taxes to arrive at an after-tax return
on capital. There are two ways of estimating
this operating income.
One
is to use the reported earnings before interest
and taxes (EBIT) on the income statement and
to adjust this number for the tax liability.

Note
that when we use this computation, we are
in effect acting as if we pay taxes on that
measure of income. In reality, we get to subtract
interest expenses to get to taxable income
but we ignore this tax benefit since it is
already incorporated into the cost of capital
(through the use of an after-tax cost of debt).
A common error made in the computation of
return on capital is using actual taxes paid
in the computation of the after-tax operating
income. This will result in a double counting
of the tax benefit from debt, once in the
return on capital (which will be increased
because of the interest tax savings) and again
in the cost of capital (which will be reduced
the reflect the same tax benefit).2
The
other is to start with net income and to add
back after-tax interest expenses and eliminate
other non-operating items to arrive at the
after-tax operating income:3

In
this computation, no explicit tax adjustment
is made, since we start with net income, which
is already after taxes. Adding back the after-tax
portion of interest expenses ensures that
the tax benefit from debt does not get double
counted.4
2
This is best illustrated using a simple example.
Assume that a firm has $100 million in earnings
before interest and taxes, $60 million in
interest expenses and faces a tax rate of
40%. The taxable income for the firm is $40
million (EBIT - Interest Expenses) and the
taxes paid will be $16 million. The after-tax
operating income that should be used for the
return on capital should be $ 60 million ($100
million (1-.4)) and not $ 84 million ($100
million - $16 million).
3
This adjusted version of after-tax operating
income is sometimes referred to as NOPLAT
(Net operating profit (loss) after taxes).
4.
The equivalence of the two approaches can
be shown with the example used in the last
footnote. The firm with $ 100 million in operating
income, $60 million in interest expenses and
a 40% tax rate will report net income of $
24 million. Adding back the after-tax interest
expense of $ 36 million ($ 60 million (1-.4))
will yield an after-tax operating income of
$ 60 million.