In: Finance
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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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% |