Monogramm just paid a dividend of $2.19 per share. The company said that it will increase the dividend by 15 percent and 10 over the next two years, respectively. After that, the company is expected to increase its annual dividend at 3.7 percent. If the required return is 10.7 percent, what is the stock price today

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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