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Your company had net income of $125,000 for the year just ended. Dividends of $77,750 were...

Your company had net income of $125,000 for the year just ended. Dividends of $77,750 were paid on the company's beginning equity of $1,375,000. If the company has 96,000 common shares outstanding with a current market price of $11.75 per share, what is the required rate of return on the shares assuming a constant sustainable growth rate of dividends?
options: 10.04%
10.30%
10.57%
10.83%
11.09%
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Expert Solution

Beginning equity $                   1,375,000
Net income $                      125,000
Earning rate 125000/1375000
Earning rate 9.09%
Net income $                      125,000
Dividend $                        77,750
Retention ratio= (125000-77750)/125000
Retention ratio= 37.80%
Growth rate= Retention * Earning
Growth rate= 3.44%
Dividend per share 77750/96000
Dividend per share $                            0.81
Share price $                          11.75
Share price= Next dividend/(Cost - Growth)
11.75= 0.81*(1+3.44%)/(Cost - 3.44%)
(Cost - 3.44%)= 0.81*(1+3.44%)/11.75
(Cost - 3.44%)= 7.13%
Cost= 10.57%

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