Ross et al.: Fundamentals
of Corporate Finance, Sixth
Edition, Alternate Edition
II. Financial Statements
and Long−Term Financial
Planning
- Working with Financial
Statements
© The McGraw−Hill^103
Companies, 2002
For every dollar in equity, therefore, Prufrock generated 14 cents in profit, but, again,
this is only correct in accounting terms.
Because ROA and ROE are such commonly cited numbers, we stress that it is im-
portant to remember they are accounting rates of return. For this reason, these measures
should properly be called return on book assets and return on book equity. In fact, ROE
is sometimes called return on net worth.Whatever it’s called, it would be inappropriate
to compare the result to, for example, an interest rate observed in the financial markets.
We will have more to say about accounting rates of return in later chapters.
The fact that ROE exceeds ROA reflects Prufrock’s use of financial leverage. We will
examine the relationship between these two measures in more detail next.
Market Value Measures
Our final group of measures is based, in part, on information not necessarily contained
in financial statements—the market price per share of the stock. Obviously, these mea-
sures can only be calculated directly for publicly traded companies.
We assume that Prufrock has 33 million shares outstanding and the stock sold for $88
per share at the end of the year. If we recall that Prufrock’s net income was $363 mil-
lion, then we can calculate that its earnings per share were:
EPS $11
Price-Earnings Ratio The first of our market value measures, the price-earnings (PE)
ratio (or multiple), is defined as:
PE ratio
8 times
[3.22]
In the vernacular, we would say that Prufrock shares sell for eight times earnings, or we
might say that Prufrock shares have or “carry” a PE multiple of 8.
$88
$11
Price per share
Earnings per share
$363
33
Net income
Shares outstanding
CHAPTER 3 Working with Financial Statements 71
ROE and ROA
Because ROE and ROA are usually intended to measure performance over a prior period, it
makes a certain amount of sense to base them on average equity and average assets, re-
spectively. For Prufrock, how would you calculate these?
We first need to calculate average assets and average equity:
Average assets ($3,373 3,588)/2 $3,481
Average equity ($2,299 2,591)/2 $2,445
With these averages, we can recalculate ROA and ROE as follows:
ROA 10.43%
ROE 14.85%
These are slightly higher than our previous calculations because assets grew during the
year, with the result that the average is below the ending value.
$363
$2,445
$363
$3,481
EXAMPLE 3.4