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KatRina [158]
3 years ago
12

How much should you pay for a share of stock that offers a constant growth rate of 13%, requires a 18% rate of return, and is ex

pected to sell for $50 one year from now?
Business
1 answer:
marin [14]3 years ago
5 0

Answer:

$44.25

Explanation:

<u>procedure 1:</u>

we can determine the present value of the stock using the following formula:

present value = future value / (1 + constant growth rate)ⁿ

  • future value = $50
  • constant growth rate = 13%
  • n = 1

present value = $50 / (1 + 13%) = $50 / 1.13 = $44.25

<u>procedure 2 (optional):</u>

future value = future dividend / (required rate of return - constant growth rate)

$50 = future dividend / (18% - 13%)

future dividend = $50 x 5% = $2.50

now we must determine the dividend for the current year:

current dividend = future dividend / (1 + constant growth rate)

current dividend = $2.50 / (1 + 13%) = $2.50 / 1.13 = $2.21

now we apply the Gordon growth model:

present value = dividend / (required rate of return - constant growth rate)

present value = $2.21 / (18% - 13%) = $2.21 / 5% = $44.25

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When companies set their dividend payout, they generally aim for a rate that is?
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