g announced that it plans to cut its dividend from $2.50 to $1.50 per share (next year) and use the extra funds to expand its operations. Prior to this announcement, Zeke's dividend growth rate was zero per year and Zeke's stock was trading at $25.00 per share. With the new expansion, JRN's dividends are expected to grow at 4% per year indefinitely. If Zeke's risk is unchanged by the expansion, what is the value of a share of Zeke after the

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Business

Vivian Holder

6 September, 10:08

g announced that it plans to cut its dividend from $2.50 to $1.50 per share (next year) and use the extra funds to expand its operations. Prior to this announcement, Zeke's dividend growth rate was zero per year and Zeke's stock was trading at $25.00 per share. With the new expansion, JRN's dividends are expected to grow at 4% per year indefinitely. If Zeke's risk is unchanged by the expansion, what is the value of a share of Zeke after the

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Avery Daugherty · Answer 1

The value of the Share of Zeke after the new Expansion is $25.

Explanation:

As there was no growth in the dividend before change, Price of the share from a stable dividend payment can be calculated by following formula.

Price = Dividend / Required rate of return

As we have the share price and the dividend amount we need to calculate the required rate of return.

Required rate of return = Dividend / Price

Placing value in the formula

Required rate of return = $2.50 / $25.00 = 0.1 = 10%

After New Expansion

Dividend = $1.50

Growth rate = 4%

The share price can be calculated by the dividend growth formula, as follow

Price of share = Dividend / (Rate of return - growth rate)

Price of share = $1.50 / (10% - 4%)

Price of share = $1.50 / 6%

Price of share = $25