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?
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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%
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:
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The dividend payout ratio (1 – b) is 0.60, so the retention ratio (b) is 0.4.
A firm has the following characteristics:
Based on this information and the Gordon growth model, what is the firm’s justified leading price to earnings (P/E) ratio?
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The justified leading P/E is 10.7:P0 / E1 = ($0.75 / $3.50) / (0.13 – 0.11) = 10.714
A firm has the following characteristics:
Based on the dividend discount model, what is the firm’s assumed growth rate?
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The assumed growth rate is 10.9%:P0 / E1 = ($0.75/$3.50) / (0.13 – g) = 10, g = 10.86%
A firm has the following characteristics:
Based on this information and the Gordon growth model, what is the firm’s justified trailing price to earnings (P/E) ratio?
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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
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