Step-1, Calculation of Dividend per share in Year 21
Here, we’ve Dividend per share in Year 4 (D4) = $5.00 per share
Therefore, the Dividend per share in Year 21 = D4 x (1 + g)17
= $5.00 per share x (1 + 0.05)17
= $5.00 per share x (1.05)17
= $5.00 per share x 2.292018
= $11.4601 per share
Step-2, The Price of the stock at Year 21 (P21)
Dividend Growth Rate after 21 years (g) = 5.00% per year
Required Rate of Return (Ke) = 12.00%
Therefore, the Price of the stock at Year 21 (P21) = D21(1 + g) / (Ke – g)
= $11.4601(1 + 0.05) / (0.12 – 0.05)
= [$11.4601 x 1.05] / 0.07
= $12.0331 / 0.07
= $171.90 per share
“Hence, the Price of the stock at Year 21 (P21) will be $171.90”
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