ABC Corp Inc. just paid an annual dividend of $2.50 a share. The firm expects future dividends to increase by 3.0% percent annually for the indefinite future. If the required a return on the stock is 10.25%, what is the price of one share of this stock today based on the dividend discount model?
Answer:
D0 = $2.50
G = 3%
Required Return = 10.25%
D1 = D0 * (1 + g)
D1 = $2.50 * (1 + 0.03)
D1 = $2.575
Required Return = D1 / P0 + g
0.1025 = $2.575 / P0 + 0.03
0.1025 – 0.03 = $2.575 / P0
0.0725 = $2.575 / P0
P0 = $2.575 / 0.0725
P0 = $35.52
ANSWER :
Given :
D0 = 2.50 ($)
r = 10.25 % = 0.1025
g = 3 % = 0.03
So,
D1 = D0 ( 1 + 0.34) = 2.50 * 1.03 = 2.575 ($)
Now,
P0 = D1 / (r - g) = 2.575 / (0.1025 - 0.03) = 35.52 ($)
So, Price of stock today = $35.52 (ANSWER)
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