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Memphic Memphic
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Posts: 728
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6 years ago
Rearden Metals expects to have earnings this coming year of $2.50 per share. Rearden plans to retain all of its earnings for the next year. For the subsequent three years, the firm will retain 50% of its earnings. It will ten retain 25% of its earnings from that point onward. Each year, retained earnings will be invested in new projects with an expected return of 20% per year. Any earnings that are not retained will be paid out as dividends. Assume Rearden's shares outstanding remains constant and all earnings growth comes from the investment of retained earnings. If Rearden's equity cost of capital is 10%, then Rearden's stock price is closest to:
A) $40.80
B) $44.60
C) $59.80
D) $63.50
Textbook 
Corporate Finance: The Core

Corporate Finance: The Core


Edition: 4th
Authors:
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Replies
wrote...
6 years ago
B
Explanation:  B)
Year   EPS   Retained
Earnings   Growth in Earnings (.20 × R.E.)   Dividends
1   $2.50   $2.50   $0.50   0
2   $3.00   $1.50   $0.30   $1.50
3   $3.30   $1.65   $0.33   $1.65
4   $3.63   $1.82   $0.36   $1.82
5   $3.99   $1.00   $0.20   $2.99

growthyear 5 =   = .050125 or 5%
P0 =   +   +   +   = 44.57
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