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Sultan Services has million shares outstanding. It expects earnings at the end of the year of million. Sultan pays out​ 60% of its earnings in total​ - 40% paid out as dividends and​ 20% used to repurchase shares. If​ Sultan's earnings are expected to grow by ​% per​ year, these payout rates do not​ change, and​ Sultan's equity cost of capital is ​%, what is​ Sultan's share​ price?

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Answer: $73.33

Explanation:

Dividend discount model can be used to calculate the value of the shares:

= Earnings paid out / (Cost of equity - growth rate)

Earnings to be paid out:

= 60% * 5,500,000

= $3,300,000

Value of shares:

= 3,300,000 / ( 9% - 6%)

= $110,000,000

Share price:

= Value of shares / Number of shares outstanding

= 110,000,000 / 1,500,000

= $73.33

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