How much should you pay for a share of stock that offers a constant growth rate of 10%, requires a 16% rate of return, and is ex
pected to sell for $53.17 one year from now
1 answer:
Answer: $48.33
Explanation:
Using the Gordon Growth model:
Price of stock = Next year dividend / (Required return - growth rate)
Next year price of stock can be used to calculate year 2 dividend:
53.17 = D₂ / ( 16% - 10%)
53.17 * 6% = D₂
D₂ = $3.19
D₂ = D₁ * ( 1 + growth rate)
3.19 = D₁ * ( 1 + 10%)
D₁ = 3.19/ 1.1
= $2.90
Price of stock today:
= 2.90 / ( 16% - 10%)
= $48.33
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