Respuesta :
Answer: $38.03
Explanation:
Based on the information given in the question, dividend for first year will be:
= D1 = $2.19 × 1.15 = $2.5185
D2= $2.5185 × 1.1 = $2.77035
Then, we calculate the value after year 2 which will be:
=(D2 × Growth Rate) / (Required Return-Growth Rate)
=(2.77035 × 1.037) / (0.107-0.037)
=$41.04
Therefore, the stock price today will be:
= (2.5185/1.107) + (2.77035/1.107²) + (41.04)/1.107²
=$38.03
The price of a stock often rises after a stock dividend is declared. The current stock price is $38.03.
What will be the current stock price?
Based on the information provided in the inquiry, the first-year dividend will be:
[tex]D1 = 2.19 \text{ x } 1.15 \\D1 = 2.5185\\D2= 2.5185 \text{ x }1.1\\\\D2= 2.77035[/tex]
Then, after the second year, we calculate the value, which is:
[tex]=(D2 \text{ x } \text{Growth Rate}) / (\text{Required Return-Growth Rate})[/tex]
[tex]=(2.77035[/tex] × [tex]1.037) / (0.107-0.037)[/tex]
[tex]=41.04[/tex]
As a result, today's stock price will be:
[tex]= (\frac{2.5185}{1.107}) + (\frac{2.77035}{1.107^{2}}) + (\frac{41.04}{1.107^{2}})\\=38.03 \text{ dollars}[/tex]
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