Answer:
$37.39
Explanation:
The computation of the approximate current share price is shown below:
But for this, first we compute the current value which is shown below:
= Next year dividend ÷ (Required rate of return - growth rate)
where,
Current year dividend
For one year
= $2.5 + $2.5 × 20%
= $2.5 + 0.05
= $3
For next year
= $3 + $3 × 20%
= $3 + 0.6
= $3.60
For the third year
= $3.60 + $3.60 × 6%
= $3.60 + 0.216
= $3.816
Now the current value is
= ($3.816) ÷ (15% - 6%)
= $42.4
Now the current share price is
= $3 ÷ 1.15 + $3.6 ÷ 1.15^2 + $42.4 ÷ 1.15^2
= $2.61 + $2.72 + $32.06
= $37.39
ABC current share price is $33.21.
Here, we are going to calculate the current share priceof ABC using the information in the question.
D1 = Recent dividend * (1 + 20%)
D1 = ($2.5*1.2)
D1 = $3
D2 = Recent dividend * (1 + 20%)
D2 = ($3*1.2)
D2 = $3.6
Value after year 2 = (D2 * Growth rate) / (Discount rate - Growth rate)
Value after year 2 = ($3.6*1.06) / (0.15 - 0.06)
Value after year 2 = $42.4
Current share price = Future dividends*Present value of discounting factor (15%,time period)
Current share price = $3/1.15 + $3.6/(1.15)^2 + $42.4/(1.15)^2
Current share price = $2.61 + $2.72 + $27.88
Current share price = $33.21
Therefore, ABC current share price is $33.21.
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