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Stock A is expected to provide a dividend of $11.70 a share forever. Stock B is

ID: 2632674 • Letter: S

Question

Stock A is expected to provide a dividend of $11.70 a share forever.

Stock B is expected to pay a dividend of $6.70 next year. Thereafter, dividend growth is expected to be 6% a year forever.

Stock C is expected to pay a dividend of $4.30 next year. Thereafter, dividend growth is expected to be 22% a year for five years (i.e., until year 6) and zero thereafter.

If the market capitalization rate for each stock is 12%, what is the stock price for each of the stocks? (Do not round intermediate calculations. Round your answers to 2 decimal places.)

Stock A ???

Stock B???

Stock C???

If the market capitalization rate for each stock is 9%, what is the stock price for each of the stocks? (Do not round intermediate calculations. Round your answers to 2 decimal places.)

Stock A????

Stock B???

Stock C???

a.

Stock A is expected to provide a dividend of $11.70 a share forever.

b.

Stock B is expected to pay a dividend of $6.70 next year. Thereafter, dividend growth is expected to be 6% a year forever.

c.

Stock C is expected to pay a dividend of $4.30 next year. Thereafter, dividend growth is expected to be 22% a year for five years (i.e., until year 6) and zero thereafter.

a-1.

If the market capitalization rate for each stock is 12%, what is the stock price for each of the stocks? (Do not round intermediate calculations. Round your answers to 2 decimal places.)

Stock A ???

Stock B???

Stock C???

If the market capitalization rate for each stock is 9%, what is the stock price for each of the stocks? (Do not round intermediate calculations. Round your answers to 2 decimal places.)

Stock A????

Stock B???

Stock C???

Explanation / Answer

a.

Capitalization rate

12%

Stock A

Div / r

11.7/.12

97.5

Stock B

Div / (r-g)

6.7/(.12-.06)

111.6667

Stock C

Year

1

2

3

4

5

6

Div

4.3

5.246

6.40012

7.808146

9.525939

11.62165

Value of perpetuity 11.62 (from year 6) at year 5

96.84704

Cash Flow

4.3

5.246

6.40012

7.808146

106.373

PV

3.83928571

4.182079

4.555479

4.962218

60.35889

Sum(Stock C Price)

77.8979482

b.

Capitalization rate

9%

Stock A

Div / r

11.7/.09

130

Stock B

Div / (r-g)

6.7/(.09-.06)

223.3333

Stock C

Year

1

2

3

4

5

6

Div

4.3

5.246

6.40012

7.808146

9.525939

11.62165

Value of perpetuity 11.62 (from year 6) at year 5

129.1294

Cash Flow

4.3

5.246

6.40012

7.808146

138.6553

PV

3.94495413

4.415453

4.942067

5.531488

90.11645

Sum (Stock C price)

108.950412

a.

Capitalization rate

12%

Stock A

Div / r

11.7/.12

97.5

Stock B

Div / (r-g)

6.7/(.12-.06)

111.6667

Stock C

Year

1

2

3

4

5

6

Div

4.3

5.246

6.40012

7.808146

9.525939

11.62165

Value of perpetuity 11.62 (from year 6) at year 5

96.84704

Cash Flow

4.3

5.246

6.40012

7.808146

106.373

PV

3.83928571

4.182079

4.555479

4.962218

60.35889

Sum(Stock C Price)

77.8979482

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