Blossom Inc., is expected to grow at a rate of 18.000 percent for the next five years and then settle to a constant growth rate of 9.000 percent. The company recently paid a dividend of $2.35. The required rate of return is 14.000 percent.
Present value of dividends is $13.05
Value of stock is $117.20
What is the value of the stock today?
Last Dividend, D0 = $2.35
Growth rate for next 5 years is 18% and a constant growth rate (g) of 9% thereafter
D1 = $2.3500 * 1.18 = $2.7730
D2 = $2.7730 * 1.18 = $3.2721
D3 = $3.2721 * 1.18 = $3.8611
D4 = $3.8611 * 1.18 = $4.5561
D5 = $4.5561 * 1.18 = $5.3762
D6 = $5.3762 * 1.09 = $5.8601
Required Return, rs = 14.00%
P5 = D6 / (rs - g)
P5 = $5.8601 / (0.14 - 0.09)
P5 = $117.2020
P0 = $2.7730/1.14 + $3.2721/1.14^2 + $3.8611/1.14^3 +
$4.5561/1.14^4 + $5.3762/1.14^5 + $117.2020/1.14^5
P0 = $73.92
So, current value of stock is $73.92
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