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Janicex Co. is growing quickly. Dividends are expected to grow at a rate of 26 p

ID: 2651493 • Letter: J

Question

Janicex Co. is growing quickly. Dividends are expected to grow at a rate of 26 percent for the next three years, with the growth rate falling off to a constant 6 percent thereafter. If the required return is 12 percent and the company just paid a dividend of $1.90, what is the current share price? (Round your answer to 2 decimal places. (e.g., 32.16))

Janicex Co. is growing quickly. Dividends are expected to grow at a rate of 26 percent for the next three years, with the growth rate falling off to a constant 6 percent thereafter. If the required return is 12 percent and the company just paid a dividend of $1.90, what is the current share price? (Round your answer to 2 decimal places. (e.g., 32.16))

Explanation / Answer

Answer

Figures in $

Year

Dividend

value of the share

Cash flow

Disc. Rate -12%

Present value

A

B

C

D

C*D

A+B

0

-

1.9

-

-

-

-

1

1.9*1.26

2.39

0

2.39

0.89

2.14

2

2.39*1.26

3.02

0

3.02

0.80

2.40

3

3.02*1.26

3.80

67.15*

70.95

0.71

50.50

Current value of share

55.04

Value of share at end of year 3 = Dividend at end of year 4 / cost of capital – growth rate

                                                 = Dividend end of year 3 ( 1+growth rate) / 12% - 6%

                                                         = 3.801 ( 1+ 0.06) / 6%

                                                          = 4.029 / 6%

                                                          = $ 67.15*

Answer : The current share price is $ 55.04

Figures in $

Year

Dividend

value of the share

Cash flow

Disc. Rate -12%

Present value

A

B

C

D

C*D

A+B

0

-

1.9

-

-

-

-

1

1.9*1.26

2.39

0

2.39

0.89

2.14

2

2.39*1.26

3.02

0

3.02

0.80

2.40

3

3.02*1.26

3.80

67.15*

70.95

0.71

50.50

Current value of share

55.04

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