FIN202 bai tap 3

a

69. Sayers purchased a stock with a coefficient of variation equal to 0.125. The expected return on the stock is 20 percent. What is the variance of the stock? A) 0.000625 B) 0.025000 C) 0.625000 D) 0.790500

b

57. Serox stock was selling for $20 two years ago. The stock sold for $25 one year ago, and it is currently selling for $28. Serox pays a $1.10 dividend per year. What was the rate of return for owning Serox in the most recent year? (Round to the nearest percent.) A) 12% B) 16% C) 32% D) 40%

c

58. You have observed that the average size of a particular goldfish is 1.5 inches long. The standard deviation of the size of the goldfish is 0.25 inches. What is the size of a goldfish such that 95 percent of the goldfish are smaller? Assume a normal distribution for the size of goldfish. A) 1.01 inches B) 1.09 inches C) 1.91 inches D) 1.99 inches

c

59. You know that the average college student eats 0.75 pounds of food at lunch. If the standard deviation of that eating is 0.2 pounds of food, then what is the total amount of food that a cafeteria should have on hand to be 95percent confident that it will not run out of food when feeding 50 college students. A) 17.90 pounds B) 21.05 pounds C) 53.95 pounds D) 57.10 pounds

d

60. If a random variable is drawn from a normal distribution, what is the probability that the random variable is larger than 1.96 standard deviations larger than the mean? A) 1.25% B) 2.50% C) 3.75% D) 5.00%

a

61. Bond price: Briar Corp is issuing a 10-year bond with a coupon rate of 7 percent. The interest rate for similar bonds is currently 9 percent. Assuming annual payments, what is the present value of the bond? (Round to the nearest dollar.) A) $872 B) $1,066 C) $990 D) $945

b

62. Bond price: Regatta, Inc., has six-year bonds outstanding that pay a 8.25 percent coupon rate. Investors buying the bond today can expect to earn a yield to maturity of 6.875 percent. What should the company's bonds be priced at today? Assume annual coupon payments. (Round to the nearest dollar.) A) $972 B) $1,066 C) $1,014 D) $923

b

62. Niles is making an investment with an expected return of 12 percent. If the standard deviation of the return is 4.5 percent, and if Niles is investing $100,000, then what dollar amount is Niles 95 percent sure that he will have at the end of the year? A) $100,000.00 B) $104,597.50 C) $116,500.00 D) $119,402.50

c

63. Bond price: Triumph Corp. issued five-year bonds that pay a coupon of 6.375 annually. The current market rate for similar bonds is 8.5 percent. How much will you be willing to pay for Triumph's bond today? Round to the nearest dollar. A) $1,023 B) $1,137 C) $916 D) $897

d

64. Bond price: Your friend recommends that you invest in a three-year bond issued by Trimer, Inc., that will pay annual coupons of 10 percent. Similar investments today will yield 6 percent. How much should you pay for the bond? (Round to the nearest dollar.) A) $1,024 B) $979 C) $886 D) $1,107

a

65. Bond price: Kevin Rogers is interested in buying a five-year bond that pays a coupon of 10 percent on a semiannual basis. The current market rate for similar bonds is 8.8 percent. What should be the current price of this bond? (Round to the nearest dollar.) A) $1,048 B) $965 C) $1,099 D) $982

b

66. Bond price: Giant Electronics is issuing 20-year bonds that will pay coupons semiannually. The coupon rate on this bond is 7.8 percent. If the market rate for such bonds is 7 percent, what will the bonds sell for today? (Round to the nearest dollar.) A) $1,037 B) $1,085 C) $861 D) $923

b

66. Tommie has made an investment that will generate returns that are subject to the state of the economy during the year. Use the following information to calculate the standard deviation of the return distribution for Tommie's investment. State Return Probability Weak 0.13 0.3 OK 0.2 0.4 Great 0.25 0.3 A) 0.0453 B) 0.0467 C) 0.0481 D) 0.0495

c

67. Bond price: Jane Thorpe has been offered a seven-year bond issued by Barone, Inc., at a price of 943.22. The bond has a coupon rate of 9 percent and pays the coupon semiannually. Similar bonds in the market will yield 10 percent today. Should she buy the bonds at the offered price? (Round to the nearest dollar.) A) Yes, the bond is worth more at $1,015. B) No, the bond is only worth $921. C) Yes, the bond is worth more at $951. D) No, the bond is only worth $912.

d

67. Elrond has made an investment that will generate returns that are subject to the state of the economy. Use the following information to calculate the variance of the return distribution for Elrond's investment. State Return Probability Weak 0.10 0.8 OK 0.17 0.1 Great 0.28 0.1 A) 0.0536 B) 0.0543 C) 0.0550 D) 0.0557

b

68. Bond price: Kevin Oh is planning to sell a bond that he owns. This bond has four years to maturity and pays a coupon of 10 percent on a semiannual basis. Similar bonds in the current market will yield 12 percent. What will be the price that he will get for his bond? (Round to the nearest dollar.) A) $1,044 B) $938 C) $970 D) $1,102

b

68. Braniff Ground Services stock has an expected return of 9 percent and a variance of 0.25 percent. What is the coefficient of variation for Braniff? A) 0.0278 B) 0.5556 C) 1.800 D) 36.00

d

69. Bond price: Jeremy Kohn is planning to invest in a 10-year bond that pays a 12 percent coupon. The current market rate for similar bonds is 9 percent. Assume semiannual coupon payments. What is the maximum price that should be paid for this bond? (Round to the nearest dollar.) A) $951 B) $882 C) $1,033 D) $1,195

c

70. You have invested 40 percent of your portfolio in an investment with an expected return of 12 percent and 60 percent of your portfolio in an investment with an expected return of 20 percent. What is the expected return of your portfolio? A) 15.2% B) 16.0% C) 16.8% D) 17.6%

b

70. Zero coupon bonds: Shana Norris wants to buy five-year zero coupon bonds with a face value if $1,000. Her opportunity cost is 8.5 percent. Assuming annual compounding, what would be the current market price of these bonds? (Round to the nearest dollar.) A) $1,023 B) $665 C) $890 D) $1,113

b

71. You have invested 20 percent of your portfolio in Homer, Inc., 40 percent in Marge Co., and 20 percent in Bart Resources. What is the expected return of your portfolio if Homer, Marge, and Bart have expected returns of 2 percent, 18 percent, and 3 percent, respectfully? A) 7.7% B) 8.2% C) 8.7% D) 9.2% Ans: B Feedback:

c

71. Zero coupon bonds: The U.S. Treasury has issued 10-year zero coupon bonds with a face value of $1,000. Assume that coupon payments are normally semiannual. What will be the current market price of these bonds if the opportunity cost for similar investments in the market is 6.75 percent? (Round to the nearest dollar.) A) $684 B) $860 C) $515 D) $604

b

72. You invested $3,000 in a portfolio with an expected return of 10 percent and $2,000 in a portfolio with an expected return of 16 percent. What is the expected return of the combined portfolio? A) 6.2% B) 12.4% C) 13.0% D) 13.6% Ans: B Feedback:

a

72. Zero coupon bonds: Robertsons, Inc., is planning to expand ita specialty stores into five other states and finance the expansion by issuing 15-year zero coupon bonds with a face value of $1,000. If your opportunity cost is 8 percent and similar coupon-bearing bonds will pay semiannually, what will be the price at which you will be willing to purchase these bonds? (Round to the nearest dollar.) A) $308 B) $383 C) $803 D) $866

a

73. Given the returns for two stocks with the following information, calculate the covariance of the returns for the two stocks. Assume the expected return is 10.8 percent for Stock 1 and 9.7 percent for Stock 2. Prob Stock 1 Stock 2 0.4 0.09 0.11 0.5 0.11 0.08 0.1 0.17 0.13 A) 0.000094 B) 0.00051600 C) 0.00032100 D) 0.71750786

b

73. Zero coupon bonds: Jarmine Corp. is planning to fund a project by issuing 10-year zero coupon bonds with a face value of $1,000. Assuming semiannual coupons to be the norm, what will be the price of these bonds if the appropriate discount rate is 14 percent? (Round to the closest answer.) A) $852 B) $258 C) $419 D) $841

a

74. Given the returns for two stocks with the following information, calculate the correlation coefficient of the returns for the two stocks. Assume the expected return for Stock 1 is 10.8 percent and 9.7 percent for Stock 2. Prob Stock 1 Stock 2 0.4 0.09 0.11 0.5 0.11 0.08 0.1 0.17 0.13 A) 0.230967 B) -0.00002548 C) 0.00032100 D) 0.17671455

b

74. Yield to maturity: Jenny LePlaz is looking to invest in some five-year bonds that pay annual coupons of 6.25 percent and are currently selling at $912.34. What is the current market yield on such bonds? (Round to the closest answer.) A) 9.5% B) 8.5% C) 6.5% D) 7.5%

c

75. Given the returns for two stocks with the following information, calculate the covariance of the returns for the two stocks. Assume the expected return is 14.4 percent for Stock 1 and 15.9 percent for Stock 2. Prob Stock 1 Stock 2 0.5 0.11 0.18 0.3 0.17 0.15 0.2 0.19 0.12 A) 0.001204001 B) 0.000549003 C) -0.00079 D) -0.3372012

c

75. Yield to maturity: Nathan Akpan is planning to invest in a seven-year bond that pays annual coupons at a rate of 7 percent. It is currently selling at $927.23. What is the current market yield on such bonds? (Round to the closest answer.) A) 10.4% B) 9.5% C) 8.4% D) 7.5%

d

76. Given the returns for two stocks with the following information, calculate the correlation coefficient of the returns for the two stocks. Assume the expected return is 14.4 percent for Stock 1 and 15.9 percent for Stock 2. Prob Stock 1 Stock 2 0.5 0.11 0.18 0.3 0.17 0.15 0.2 0.19 0.12 A) 0.001204001 B) 0.000549003 C) -0.00271370 D) -0.971689

b

76. Yield to maturity: Jane Almeda is interested in a 10-year bond issued by Roberts Corp. that pays a coupon of 10 percent annually. The current price of this bond is $1,174.45. What is the yield that Jane would earn by buying it at this price and holding it to maturity? (Round to the closest answer.) A) 7% B) 7.5% C) 8% D) 8.5%

a

77. The covariance of the returns between Einstein Stock and Bohr Stock is 0.0087. The standard deviation of Einstein is 0.26, and the standard deviation of Bohr is 0.37. What is the correlation coefficient between the returns of the two stocks? A) 0.090437 B) 0.096200 C) 0.90437 D) 0.96200

d

77. Yield to maturity: Shawna Carter wants to invest her recent bonus in a four-year bond that pays a coupon of 11 percent semiannually. The bonds are selling at $962.13 today. If she buys this bond and holds it to maturity, what would be her yield? (Round to the closest answer.) A) 11.5% B) 11.8% C) 12.5% D) 12.2%

d

78. The covariance of the returns between Wildcat Stock and Sun Devil Stock is 0.09875. The variance of Wildcat is 0.2116, and the variance of Sun Devil is 0.1369. What is the correlation coefficient between the returns of the two stocks? A) 0.170200 B) 0.293347 C) 0.340823 D) 0.578731

c

78. Yield to maturity: Alice Trang is planning to buy a six-year bond that pays a coupon of 10 percent semiannually. Given the current price of $878.21, what is the yield to maturity on these bonds? A) 11% B) 12% C) 13% D) 14% Ans: C

a

79. Horse Stock returns have exhibited a standard deviation of 0.57, whereas Mod T Stock returns have a standard deviation of 0.63. The correlation coefficient between the returns is 0.078042. What is the covariance of the returns? A) 0.028025 B) 0.217327 C) 0.359100 D) 0.993094

d

79. Yield to maturity: John Wong purchased a five-year bond today at $1,034.66. The bond pays 6.5 percent semiannually. What will be his yield to maturity? A) 6.7% B) 6.2% C) 5.9% D) 5.7%

b

80. Batman Stock has exhibited a standard deviation in stock returns of 0.5, whereas Superman Stock has exhibited a standard deviation of 0.6. The correlation coefficient between the stock returns is 0.5. What is the variance of a portfolio composed of 70 percent Batman and 30 percent Superman? A) 0.1549 B) 0.2179 C) 0.4668 D) 0.5500

c

80. Yield to maturity: Huan Zhang bought a 10-year bond that pays 8.25 percent semiannually for $911.10. What is the yield to maturity on this bond? A) 7.6% B) 8.6% C) 9.6% D) 10.6%

c

81. Aquaman Stock has exhibited a standard deviation in stock returns of 0.7, whereas Green Lantern Stock has exhibited a standard deviation of 0.8. The correlation coefficient between the stock returns is 0.1. What is the standard deviation of a portfolio composed of 70 percent Aquaman and 30 percent Green Lantern? A) 0.32122 B) 0.54562 C) 0.56676 D) 0.75000

b

85. The beta of Elsenore, Inc., stock is 1.6, whereas the risk-free rate of return is 8 percent. If the expected return on the market is 15 percent, then what is the expected return on Elsenore? A) 11.20% B) 19.20% C) 24.00% D) 32.00%

b

86. The beta of RicciCo.'s stock is 3.2, whereas the risk-free rate of return is 9 percent. If the expected return on the market is 18 percent, then what is the expected return on RicciCo.? A) 28.80% B) 37.80% C) 48.60% D) 57.60%

c

87. The risk-free rate of return is currently 3 percent, whereas the market risk premium is 6 percent. If the beta of Lenz, Inc., stock is 1.8, then what is the expected return on Lenz? A) 8.40% B) 10.80% C) 13.80% D) 19.20%

b

88. The expected return on Kiwi Computers stock is 16.6 percent. If the risk-free rate is 4 percent and the expected return on the market is 10 percent, then what is Kiwi's beta? A) 1.26 B) 2.10 C) 2.80 D) 3.15

d

89. The expected return on Mike's Seafood stock is 17.9 percent. If the expected return on the market is 13 percent and the beta for Kiwi is 1.7, then what is the risk-free rate? A) 4.5% B) 5.0% C) 5.5% D) 6.0%

b

90. The expected return on KarolCo. stock is 16.5 percent. If the risk-free rate is 5 percent and the beta of KarolCo is 2.3, then what is the risk premium on the market? A) 2.5% B) 5.0% C) 7.5% D) 10.0%

a

92. Holding Period Return: George Wilson purchased Bright Light Industries common stock for $47.50 on January 31, 2010. The firm paid dividends of $1.10 during the last 12 months. George sold the stock today (January 30, 2011) for $54.00. What is George's holding period return? Round off the nearest 0.01%. A) 16.00% B) 14.35% C) 11.28% D) 19.60%

b

93. Expected Return: Security Analysts that have evaluated Concordia Corporation have determined that there is a 15% chance that the firm will generate earnings per share of $2.40; a 60% probability that the firm will generate earnings per share of $3.10; and a 25% probability that the firm will generate earnings per share of $3.80. What are the expected earnings per share for Concordia Corporation? (Round off to the nearest $0.01) A) $3.10 B) $3.17 C) $2.75 D) $2.91

d

94. Standard Deviation: View Point Industries has forecast a rate of return of 20.00% if the economy booms (25.00% probability); a rate of return of 15.00% if the economy in in a growth phase (45.00% probability); a rate of return of 2.50% if the economy in in decline (20.00% probability); and a rate of return of -15.00% if the economy in a depression (10.00% probability). What is View Point's standard deviation of returns? A) 17.31% B) 9.25% C) 15.00% D) 10.46%