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Reading 48: Market-Based Valuation: Price Multiples - LOS

16.What is the appropriate justified trailing price-to-earnings (P/E) multiple of a stock that has a payout ratio of 40 percent if shareholders require a return of 15 percent on their investment and the expected growth rate in dividends is 5 percent?

A)   6.30.

B)   4.20.

C)   13.20.

D)   3.80.

17.What is the appropriate leading price-to-earnings (P/E) multiple of a stock that has a projected payout ratio of 40 percent if shareholders require a return of 15 percent on their investment and the expected growth rate in dividends is 5 percent?

A)   6.30.

B)   13.20.

C)   3.80.

D)   4.00.

18.A firm’s return on equity (ROE) is 14 percent, its required rate of return is 10 percent, and its expected growth rate is 8 percent. What is the firm’s justified price-to-book value (P/B) based on these fundamentals?

A)   2.00.

B)   2.75.

C)   5.00.

D)   3.00.

19.What is the appropriate price-to-sales (P/S) multiple of a stock that has a retention ratio of 45 percent, a return on equity (ROE) of 14 percent, an earnings per share (EPS) of $5.25, sales per share of $245.54, an expected growth rate in dividends and earnings of 6.5 percent, and shareholders require a return of 11 percent on their investment?

A)   0.227.

B)   0.278.

C)   0.158.

D)   3.584.

20.A firm’s return on equity (ROE) is 15 percent, its required rate of return is 12 percent, and its expected growth rate is 7 percent. What is the firm’s justified price to book value (P/B) based on these fundamentals?

A)   0.63.

B)   1.71.

C)   1.60.

D)   1.00.

21.An analyst has gathered the following fundamental data:

 

Firm A

Firm B

Firm C

Firm D

Payout Ratio

75%

 

 

 

Required Rate of Return

12%

12%

12%

12%

Return on Equity

20%

15%

30%

14%

Price/Book Value Ratio

 

3.00

0.70

3.50

What is the price/book value (PBV) ratio for firm A?

A)   0.71.

B)   1.25.

C)   2.14.

D)   3.00.

答案和详解如下:

16.What is the appropriate justified trailing price-to-earnings (P/E) multiple of a stock that has a payout ratio of 40 percent if shareholders require a return of 15 percent on their investment and the expected growth rate in dividends is 5 percent?

A)   6.30.

B)   4.20.

C)   13.20.

D)   3.80.

The correct answer was B)

P0/E0 = (0.40 × 1.05)/(0.15 – 0.05) = 4.20

17.What is the appropriate leading price-to-earnings (P/E) multiple of a stock that has a projected payout ratio of 40 percent if shareholders require a return of 15 percent on their investment and the expected growth rate in dividends is 5 percent?

A)   6.30.

B)   13.20.

C)   3.80.

D)   4.00.

The correct answer was D)

P0/E0 = 0.40/(0.15 – 0.05) = 4.00

Note that the leading P/E omits (1 + g) in the numerator, which is present in the formula for the trailing P/E.

18.A firm’s return on equity (ROE) is 14 percent, its required rate of return is 10 percent, and its expected growth rate is 8 percent. What is the firm’s justified price-to-book value (P/B) based on these fundamentals?

A)   2.00.

B)   2.75.

C)   5.00.

D)   3.00.

The correct answer was D)

P0E0 = (ROE – g) / (r – g) = (0.14 – 0.08) / (0.10 – 0.08) = 3.00

19.What is the appropriate price-to-sales (P/S) multiple of a stock that has a retention ratio of 45 percent, a return on equity (ROE) of 14 percent, an earnings per share (EPS) of $5.25, sales per share of $245.54, an expected growth rate in dividends and earnings of 6.5 percent, and shareholders require a return of 11 percent on their investment?

A)   0.227.

B)   0.278.

C)   0.158.

D)   3.584.

The correct answer was B)

Recall that profit margin is measured as E0/S0. In this example, the profit margin is (5.25/245.54) = 0.0214. Thus:

P0/S0 = [(E0 / S0)(1 – b)(1 + g)] / (r – g) = [0.0214(0.55)(1.065)] / (0.11 – 0.065) = 0.278

20.A firm’s return on equity (ROE) is 15 percent, its required rate of return is 12 percent, and its expected growth rate is 7 percent. What is the firm’s justified price to book value (P/B) based on these fundamentals?

A)   0.63.

B)   1.71.

C)   1.60.

D)   1.00.

The correct answer was C)

P0/B0 = (ROE – g) / (r – g) = (0.15 – 0.07) / (0.12 – 0.07) = 1.60

21.An analyst has gathered the following fundamental data:

 

Firm A

Firm B

Firm C

Firm D

Payout Ratio

75%

 

 

 

Required Rate of Return

12%

12%

12%

12%

Return on Equity

20%

15%

30%

14%

Price/Book Value Ratio

 

3.00

0.70

3.50

What is the price/book value (PBV) ratio for firm A?

A)   0.71.

B)   1.25.

C)   2.14.

D)   3.00.

The correct answer was C)

The growth rate in dividends (g) = ROE(1-payout ratio) = 0.20 x (1-0.75) = 0.05 or 5%. The price/book value (PBV) ratio = (ROE - g) / (r-g) = (0.20 - .05)/(0.12-0.05) = 2.14.

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