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You are considering two stocks. Both pay a dividend of $1, but the beta coefficient of A is 1.5, while the beta coefficient of B is 0.7. Your required return is k=8%+(15%-8%)B a) What is the required return for each stock? b) If A is selling for $10 a share, is it a good buy if you expect earnings and dividends to grow at 5 percent? c) The earnings and dividends of B are expected to grow annually at 10 percent. Would you buy the stock for $30? d) If the earnings and dividends of A were expected to grow annually at 10 percent, would it be a good buy at $30?
a) What is the required return for each stock?
You need to replace the beta coefficient for each stock in B of the equation.
For Stock A, the required return is
k = 8%+(15%-8%)1.5
k = 18.5%
For Stock B, the required return is
k = 8%+(15%-8%)0.7
k = 12.9%
b) If A is selling for $10 a share, is it a good buy if you expect earnings and dividends to grow at 5 percent?
We can find the appropriate stock price by using the following equation.
P = D0(1 + g) where D0 is the dividend this year
(k - g) k is the required rate of return
g is the growth rate
Stock A
P = 1(1 + 0.05)
(0.185 - 0.05)
P = 7.78
The appropriate price is $7.78 a share. So, it is not a good buy if earnings and dividends is expected to grow at 5 percent.
c) The earnings and dividends of B are expected to grow annually at 10 percent. Would you buy the stock for $30?
Stock B
P = 1(1 + 0.10)
(0.129 - 0.10)
P = 37.93
The appropriate price is $37.93 a share. So, I would buy the stock for $30.
d) If the earnings and dividends of A were expected to grow annually at 10 percent, would it be a good buy at $30?
Stock A
P = 1(1 + 0.10)
(0.185 - 0.10)
P = 12.94
The appropriate price is $12.94 a share. So, it is not a good buy at $30.