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Momsen Corp. is experiencing rapid growth. Dividends are expected to grow at 30

ID: 2493274 • Letter: M

Question

Momsen Corp. is experiencing rapid growth. Dividends are expected to grow at 30 percent per year during the next three years, 20 percent over the following year, and then 5 percent per year indefinitely. The required return on this stock is 12 percent, and the stock currently sells for $80 per share. What is the projected dividend for the coming year? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)

Momsen Corp. is experiencing rapid growth. Dividends are expected to grow at 30 percent per year during the next three years, 20 percent over the following year, and then 5 percent per year indefinitely. The required return on this stock is 12 percent, and the stock currently sells for $80 per share. What is the projected dividend for the coming year? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)

Explanation / Answer

Let Dividend be D

Year

Cash Flow

PVF (12%)

PV of Cash Flow

1

D (130%) = 1.3D

0.8928

1.16064D

2

1.3D (130%) = 1.69D

0.7972

1.347268D

3

1.69D (130%) = 2.197D

0.7118

1.5638246D

4

2.197D(120%) = 2.6364D

0.6355

1.6754322D

4

2.6364D(105%) / (0.12-0.05) = 39.546

0.6355

25.131483D

30.8786478D

Stock Price = $80

Hence,

30.8786478D = 80

D = 2.59

Projected Dividend = $2.59

Year

Cash Flow

PVF (12%)

PV of Cash Flow

1

D (130%) = 1.3D

0.8928

1.16064D

2

1.3D (130%) = 1.69D

0.7972

1.347268D

3

1.69D (130%) = 2.197D

0.7118

1.5638246D

4

2.197D(120%) = 2.6364D

0.6355

1.6754322D

4

2.6364D(105%) / (0.12-0.05) = 39.546

0.6355

25.131483D

30.8786478D

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