Reading 42: Discounted Dividend Valuation-LOS f 习题精选 equity

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Session 11: Equity Valuation: Industry and Company Analysis in a Global Context
Reading 42: Discounted Dividend Valuation

LOS f: Calculate the justified leading and trailing P/Es using the Gordon growth model.

 

 

If an asset’s beta is 0.8, the expected return on the equity market is 10.0%, and the appropriate discount rate for the Gordon model is 9.0%, what is the risk-free rate?

A) 5.00%.

B) 6.50%.

C) 2.50%.

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Required return = risk-free rate + beta (expected equity market return – risk-free rate)
9% = risk-free rate + 0.8(0.10 – risk-free rate)
9% = 0.08 + 0.2(risk-free rate)
1% / 0.2 = risk-free rate = 0.05 or 5%

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Stan Bellton, CFA, is preparing a report on TWR, Inc. Bellton’s supervisor has requested that Bellton include a justified trailing price-to-earnings (P/E) ratio based on the following information:

Current earnings per share (EPS) = $3.50.
Dividend Payout Ratio = 0.60.
Required return for TRW = 0.15.
Expected constant growth rate for dividends = 0.05.

TWR’s justified trailing P/E ratio is closest to:

A) 4.0.

B) 6.0.

C) 6.3.

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The dividend payout ratio (1 – b) is 0.60, so the retention ratio (b) is 0.4.

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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%.
• Required return 13%.

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

A) 11.3.

B) 10.7.

C) 8.7.

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The justified leading P/E is 10.7:

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

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A firm has the following characteristics:

• Current share price $100.00.
• One-year earnings $3.50>. >
• One-year dividend $0.75.
• Required return 13%.> >
• Justified leading price to earnings 10.

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

A) 12.4%.

B) 8.6%.

C) 10.9%.

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The assumed growth rate is 10.9%:

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

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A firm has the following characteristics:> >

• Current share price $100.00.
• Current earnings $3.50.
• Current dividend $0.75.
• Growth rate 11%.
• Required return 13%.

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) 11.3.

C) 11.9.

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The justified trailing P/E is 11.9:

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