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Reading 46: Discounted Dividend Valuation - LOS j ~ Q1-3

1.A firm has the following characteristics:

§ Current share price $100.00

§ Current earnings $3.50

§ Current dividend $0.75

§ Growth rate 11 percent

§ Required return 13 percent

Based on this information and the Gordon growth model, what is the firm’s justified trailing price to earnings (P/E) ratio?

A)   8.9.

B)   11.9.

C)   11.3.

D)   12.8.

2.A firm has the following characteristics:

§ Current share price $100.00

§ One-year earnings $3.50

§ One-year dividend $0.75

§ Required return 13 percent

§ Justified leading price to earnings 10

Based on the dividend discount model, what is the firm’s assumed growth rate?

A)   8.6%.

B)   10.9%.

C)   11.4%.

D)   12.4%.

3.A firm has the following characteristics:

§ Current share price $100.00

§ Next year's earnings $3.50

§ Next year's dividend $0.75

§ Growth rate 11 percent

§ Required return 13 percent

Based on this information and the Gordon growth model, what is the firm’s justified leading price to earnings (P/E) ratio?

A)   8.7.

B)   11.3.

C)   12.8.

D)   10.7.

答案和详解如下:

1.A firm has the following characteristics:

§ Current share price $100.00

§ Current earnings $3.50

§ Current dividend $0.75

§ Growth rate 11 percent

§ Required return 13 percent

Based on this information and the Gordon growth model, what is the firm’s justified trailing price to earnings (P/E) ratio?

A)   8.9.

B)   11.9.

C)   11.3.

D)   12.8.

The correct answer was B)

The justified trailing P/E is 11.9:

P0 / E0 = [($0.75)(1 + 0.11)/$3.50] / (0.13 – 0.11) = 11.8929

2.A firm has the following characteristics:

§ Current share price $100.00

§ One-year earnings $3.50

§ One-year dividend $0.75

§ Required return 13 percent

§ Justified leading price to earnings 10

Based on the dividend discount model, what is the firm’s assumed growth rate?

A)   8.6%.

B)   10.9%.

C)   11.4%.

D)   12.4%.

The correct answer was B)

The assumed growth rate is 10.9%:

P0 / E1 = ($0.75/$3.50) / (0.13 – g) = 10, g = 10.86%

3.A firm has the following characteristics:

§ Current share price $100.00

§ Next year's earnings $3.50

§ Next year's dividend $0.75

§ Growth rate 11 percent

§ Required return 13 percent

Based on this information and the Gordon growth model, what is the firm’s justified leading price to earnings (P/E) ratio?

A)   8.7.

B)   11.3.

C)   12.8.

D)   10.7.

The correct answer was D)

The justified leading P/E is 10.7:

P0 / E1 = ($0.75 / $3.50) / (0.13 – 0.11) = 10.714

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