|   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.ffice ffice" /> 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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