6.10 Example:
IBM’s Cost of Equity Capital from CAPM
Valuation Tutor’s information system provides quick access to
information to apply the CAPM:
Under “Bonds,” you can find rates on US Treasuries.
You may want to pick a long term interest rate, since we
are going to be discounting the dividends for a long time (in
fact, forever!).
At the time of this writing, the yield on the 30 year
Treasury bond was 4.18%.
To get an estimate of beta, select one of the sources under
“Profile.” At the time
of this example, IBM’s beta was 0.73.
Now we need the equity premium.
Many sources report an equity premium, and the estimates
can vary quite a bit.
Under “Papers and Reports,” we have a link to a paper by
Professors Pablo
Fernandez and Javier Del Campo Baonza at the University of
Navarra, who did an extensive survey of estimates of the equity
premium. The consensus estimates are in the 5.1% to 5.3%, and
most estimates fell between 5.1% and 5.5%. We will use 5.1% in
our examples.
Our estimated inputs provide you with an estimate of ke
for IBM:
Note:
the CAPM only provides the discount rate for cash flows (like
dividends) that accrue to shareholders.
It does not provide a discount rate for the cash flows of
the firm as a whole (so payments that accrue to both
shareholders and bond holders).
For a firm as a whole, the discount rate is usually
specified as a weighted average of ke and the yield
on the debt of the firm, kd.
The WACC, or weighted average cost of capital, is defined
by:
Here, τc is the corporate tax rate.
The equation works with the after tax cost of debt
because interest expense is tax deductible while dividend
payments are not.