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What would be the approximate expected price of a stock when dividends are expected to grow at a 25% rate in each of years 2 and 3, and then grow at a constant rate of 5% if the stock's required return is 13% and next year's dividend will be $4.00?

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jepessoa

Answer:

$68.64

Explanation:

Div₁ = $4

Div₂ = $5

Div₃ = $6.25

Div₄ = $6.5625

the terminal value at year 3 = Div₄ / (Re - g) = $6.5625 / (13% - 5%) = $82.03

P₀ = $4/1.13 + $5/1.13² + ($6.25 + $82.03)/1.13³ = $88.28/1.13³ = $68.64

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