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?

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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