LOS b: Describe and estimate the expected earnings per share (EPS) and earnings multiplier for a company and use the multiple to make an investment decision regarding the company.fficeffice" />
Q1. Assume the following information for a stock:
Beta coefficient = 1.50
Risk-free rate = 6%
Expected rate of return on market = 14%
Dividend payout ratio = 30%
Expected dividend growth rate = 11%
The estimated earnings multiplier (P/E ratio) is closest to:
A) 4.29.
B) 3.33.
C) 10.00
Correct answer is A)
P/E = D/E1 / (k ? g)
D/E1 = Dividend payout ratio = 0.3
g = 0.11
k = 6 + (1.5)(14 ? 6) = 18%
P/E = 0.3 / (0.18 ? 0.11) = 0.3 / 0.07 = 4.29
Q2. Given a beta of 1.55 and a risk-ree rate of 8%, what is the expected rate of return, assuming a 14% market return?
A) 17.3%.
B) 12.4%.
C) 20.4%.
Correct answer is A)
k = 8 + 1.55(14-8) = 8 + 1.55(6) = 8 + 9.3 = 17.3
Q3. An analyst gathered the following data for the Parker Corp. for the year ended December 31, 2005:
- EPS2005 = $ 1.75
- Dividends2005 = $ 1.40
- Beta Parker = 1.17
- Long-term bond rate = 6.75%
- Rate of return S&500 = 12.00%
The firm is expected to continue their dividend policy in future. If the long-term growth rate in earnings and dividends is expected to be 6%, the appropriate P/E ratio for Parker Corp. will be:
A) 21.54.
B) 12.31.
C) 11.61.
Correct answer is C)
The appropriate P/E ratio for Parker will be 11.61.
P/E ratio = .80/(.1289 - .0600) = 11.61
Where r = required rate of return on equity, gn = growth rate in dividends (forever).
The required rate of return on equity for Parker will be 12.89% = 6.75% + 1.17(12.00% - 6.75%) and the firm pays 80% (1.40/1.75) of its earnings as dividends.
Q4. An analyst gathered the following data for the Parker Corp. for the year ended December 31, 2005:
- EPS2005 = $1.75
- Dividends2005 = $1.40
- Beta Parker = 1.17
- Long-term bond rate = 6.75%
- Rate of return S&500 = 12.00%
The firm has changed its dividend policy and now plans to pay out 60% of its earnings as dividends in the future. If the long-term growth rate in earnings and dividends is expected to be 5%, the appropriate price to earnings (P/E) ratio for Parker will be:
A) 7.60.
B) 9.14.
C) 7.98.
Correct answer is A)
P/E Ratio = 0.60/(.1289 - .0500) = 7.60.
Required rate of return on equity will be 12.89 percent = 6.75% + 1.17(12.00% - 6.75).
Q5. All else equal, a firm will have a higher Price-to-Earnings (P/E) multiple if:
A) the stock’s beta is lower.
B) return on equity (ROE) is lower.
C) retention ratio is higher.
Correct answer is A)
To increase P/E ratio, lower the retention ratio, lower k and or increase g. A lower beta would lead to a lower stock risk premium and a lower k.
Q6. Use the following data to analyze a stock's price earnings ratio (P/E ratio):
- The stock's beta is 1.2.
- The dividend payout ratio is 60%.
- The stock's expected growth rate is 7%.
- The risk free rate is 6% and the expected rate of return on the market is 13%.
Using the dividend discount model, the expected P/E ratio of the stock is closest to:
A) 5.4.
B) 8.1.
C) 10.0.
Correct answer is B)
k = ER = Rf + Beta(RM ? Rf) = 0.06 + (1.2)(0.13 ? 0.06) = 0.144
Dividend payout ratio = 0.60
P/E = div payout / (k ? g) = 0.6 / (0.144 ? 0.07) = 8.1
Q7. An analyst gathered the following information about Weston Chemical’s stock:
- Estimated sales per share = $12.19
- Earnings before interest, taxes, depreciation, and amortization (EBITDA) = 73%
- Interest expense per share = $2.07
- Depreciation expense per share = $6.21
- The tax rate = 35%
Weston’s estimated earnings per share (EPS) is closest to:
A) $2.54.
B) $3.11.
C) $0.40.
Correct answer is C)
Estimate EPS as: [(sales per share)(EBITDA %) – depreciation per share – interest per share][1 – tax rate] = [($12.19)(0.73) – $6.21 – $2.07][1 – 0.35] = $0.4022 = $0.40.
Q8. An analyst gathered the following information on ffice:smarttags" />laceName w:st="on">RoanlaceName> laceType w:st="on">MountainlaceType> laceType w:st="on">Amusement ParklaceType>:
- Sales per share = $9.29
- Earnings before interest, taxes, depreciation, and amortization (EBITDA) = 65%
- Interest expense per share = $1.26
- Depreciation expense per share = $4.12
- Marginal tax rate = 43%
laceName w:st="on">RoanlaceName> laceType w:st="on">MountainlaceType>’s expected earnings per share is closest to:
A) $0.22.
B) $0.38.
C) $0.47.
Correct answer is B)
Earnings per share is [(sales per share)(EBITDA %) – depreciation per share – interest per share][1 – tax rate] = [($9.29)(0.65) – $4.12 – $1.26][1 – 0.43] = $0.3753 = $0.38.
Q9. A stock has a required rate of return of 15%, a constant growth rate of 10%, and a dividend payout ratio of 45%. The stock’s price-earnings ratio should be:
A) 4.5 times.
B) 3.0 times.
C) 9.0 times.
Correct answer is C)
P/E = D/E1/ (k - g) D/E1 = Dividend Payout Ratio = .45 k = .15 g = .10 P/E = .45 / (.15 - .10) = .45 / .05 = 9
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