CHAPTER 5- VALUING STOCKS 1. A stock paying $5 in annual dividends sells now for $80 and has an expected return of 14%. What might investors expect to pay for the stock one year from now? A) $82.20 B) $86.20 C) $87.20 D) $91.20 Answer: B Difficulty: Medium Page: 139, 1st paragraph. Expected return 14% = = Div1 P1 Po Po $5 P1 $80 $80 $11.20 = P1 – $75 $86.20 = P1 2. What should be the price for a common stock paying $3.50 annually in dividends if the growth rate is zero and the discount rate is 8%? A) $22.86 B) $28.00 C) $42.00 D) $43.75 Answer: D Difficulty: Medium Page: 144, 1st paragraph. Div 3.50 $43.75 Po = r .08 3. What constant growth rate in dividends is expected for a stock valued at $32.00 if next year’s dividend is forecast at $2.00 and the appropriate discount rate is 13%? A) 5.00% B) 6.25% C) 6.75% D) 15.38% Answer: C Difficulty: Medium Page: 145, 1st paragraph. 2.00 $32.00 = .13 g $4.16 – 32g = $2.00 $2.16 = 32 g .0675 = g 6.75% = g 4. If next year’s dividend is forecast to be $5.00, the constant growth rate is 4%, and the discount rate is 16%, then the current stock price should be: A) $31.25 B) $40.00 C) $41.67 D) $43.33 Answer: D Difficulty: Medium Page: 145, 1st paragraph. $5.00 Po = .16.04 $5.00 $41.67 = .12 5. ABC common stock is expected to have extraordinary growth of 20% per year for two years, at which time the growth rate will settle into a constant 6%. If the discount rate is 15% and the most recent dividend was $2.50, what should be the current share price? A) $31.16 B) $33.23 C) $37.42 D) $47.77 Answer: C Difficulty: Hard Page: 148, 2nd paragraph. $2.50(1.2) $2.50(1.2)2 2.50(1.2)2 (1.06) Po = 1.15 1.152 (.15.06)(1.15)2 = $3.00 1.15 $3.60 1.3225 $3.82 .09(1.3225) = $2.61 + 2.72 + 32.09 = $37.42 6. What is the plowback ratio for a firm that has earnings per share of $12.00 and pays out $4.00 per share as dividends? A) 25.00% B) 33.33% C) 66.67% D) 75.00% Answer: C Difficulty: Medium Page: 149, 4th paragraph. plowback = 1 - payout ratio $4.00 =1– $12.00 = 1 – .33 .67 7.What price would you expect to pay for a stock with 13% required rate of return, 4% rate of dividend growth, and an annual dividend of $2.50 which will be paid tomorrow? A) $27.78 B) $30.28 C) $31.10 D) $31.39 Answer: D Difficulty: Hard Page: 145, 1st paragraph. Po = Do + = $2.50 + = $2.50 + D1 kg $2.50(1.04) .13 .04 $2.60 .09 = $2.50 + $28.89 = $31.39 8.What rate of return is expected from a stock that sells for $30 per share, pays $1.50 annually in dividends, and is expected to sell for $33 per share in one year? A) 5.00% B) 10.00% C) 14.09% D) 15.00% Answer: D Difficulty: Medium Page: 145, 1st paragraph. DIV P1 Po Expected Return = Po Po = = = 1.50 33.00 30.00 30.00 30.00 .05 + .10 .15 = 15%