Business, 20.07.2020 01:01 graay0817

The current (year 0) price of the shares of Company XYZ is $50. There are 1 million shares outstanding. Next year (year 1)’s dividend per share is $2, which represents a 60% payout from earnings (net income). Investors expect a ROE of 20%, and a constant growth. 1. What will be the dividend per share in year 2 and year 3?

2. What is the current market value of the firm?

3. What will be the value of the firm next year after the payout?

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Answer from: leleee10

1. The dividend per share in year 2 would be $2.16.

The dividend per share in year 3 would be $2.3328

2. The market value of the firm is $50 million

3. The value of the firm next year after the payout is $ 54

Explanation:

1. In order to calculate the dividend per share in year 2 and the dividend per share in year 3 we would have to make the following calculation:

dividend per share in year 2=dividend per share in year 1*(1+Growth Rate)

dividend per share in year 1=$2

Growth Rate=Retention Ratio * ROE

Growth Rate=40% * 20%

Growth Rate=8%

Therefore, dividend per share in year 2=$2*(1+8%)

dividend per share in year 2=$2.16

dividend per share in year 3=dividend per share in year 2*(1+Growth Rate)

dividend per share in year 3=$2.16(1´8%)

dividend per share in year 3=$2.3328

2. In order to calculate the current market value of the firm we would have to make the following calculation:

market value of the firm=Currect Share Price * Number of outstanding shares

According to the given data:

Currect Share Price=$50

Number of outstanding shares=1 million shares

market value of the firm=$50*1 million shares

market value of the firm=$50 million

3. In order to calculate the value of the firm next year after the payout we would have to calculate first the rate of return as follows:

value of the firm =dividend per share in year 1/rate of return-growth rate

$50* Rate of Return - 4 = $2

Rate of Return = 6 / 50

Rate of Return =12%

Therefore, value of the firm next year after the payout=dividend per share in year 2/rate of return-growth rate

value of the firm next year after the payout=$2.16/0.12-0.08

value of the firm next year after the payout=$ 54

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Answer from: Quest

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