4. The future earnings, dividends, and common stock price of
Barstool Inc. are expected to grow 2% per year. Barstool’s common
stock currently sells for $18.00 per share. Its last dividend was
$1.50 and it will pay $1.53 dividend at the end of the current
year.
a. Using the DCF approach, what is its cost of common equity?
b. If the beta is 2, the risk free rate is 7%, and the average
return on the market is 16%, what is the cost of common equity
using CAPM?
c. If the firm’s bonds earn a return of 11%, based on the
bond-yield-plus-risk-premium approach, what is return on common
equity? Use midpoint of risk premium range discussed in section
10-5.
a). According to the DCF;
kE = [D1 / P0] + g
= [$1.53 / $18] + 0.02 = 0.085 + 0.02 = 0.105, or 10.50%
b). According to the CAPM;
kE = Risk-free Rate + [Beta * (Market Return - Risk-free Rate)]
= 7% + [2 * (16% - 7%)]
= 7% + 18% = 25%
c). Let's assume the range of risk premium is 3% to 5%.
Average Risk Premium = [3% + 5%] / 2 = 8% / 2 = 4%
kE = Bond Yield + Average Risk Premium
= 11% + 4% = 15%
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