We know the stock has a required return of 12 percent, and the dividend and capital gains yield is equal.
Dividend yield = 1/2(.12)
Dividend yield = .060 = Capital gains yield
Now we know both the dividend yield and capital gains yield. The dividend is simply the stock price times the dividend yield, so:
D1 = .060($65.50)
D1 = $3.93
This is the dividend for next year. The question asks for the dividend this year. Using the relationship between the dividend this year and the dividend next year:
D1 = D0(1 + g)
We can solve for the dividend that was just paid:
$3.93 = D0(1 + .060)
D0 = $3.93 / 1.060
D0 = $3.71
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