National Advertising just paid a dividend of D 0 = $1.25 per share, and that dividend is expected to grow at a constant rate of 6.50% per year in the future. The company's beta is 1.5, the required return on the market is 10.50%, and the risk-free rate is 4.50%. What is the company's current stock price?
a.
$16.64
b.
$17.26
c.
$18.89
d.
$19.02
Given,
Current dividend = $1.25
Growth rate (g) = 6.50% or 0.065
Beta = 1.5
Return on the market = 10.50%
Risk free rate = 4.50%
Solution :-
Expected return (r) = Risk free rate + beta(return on the market - risk free rate)
= 4.50% + 1.5(10.50% - 4.50%)
= 4.50% + 1.5(6.00%)
= 4.50% + 9.00% = 13.50% or 0.135
Expected dividend = Current dividend x (1 + g)
= $1.25 x (1 + 0.065)
= $1.25 x 1.065 = $1.33125
Now,
Current stock price = Expected dividend/(r - g)
= $1.33125/(0.135 - 0.065)
= $1.33125/0.07 = $19.02
Option 'd' is correct.
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