60.
|
You recently purchased a stock that is expected to earn 30 percent in a booming economy, 9 percent in a normal economy, and lose 33 percent in a recessionary economy. There is a 5 percent probability of a boom and a 75 percent chance of a normal economy. What is your expected rate of return on this stock?
E(r) = (0.05 × 0.30) + (0.75 × 0.09) + (0.20 × -0.33) = 1.65 percent
|
AACSB: Analytic
Blooms: Apply Difficulty: 1 Easy Learning Objective: 13-01 How to calculate expected returns. Section: 13.1 Topic: Expected return |
61.
|
The common stock of Manchester & Moore is expected to earn 13 percent in a recession, 6 percent in a normal economy, and lose 4 percent in a booming economy. The probability of a boom is 5 percent while the probability of a recession is 45 percent. What is the expected rate of return on this stock?
E(r) = (0.45 × 0.13) + (0.50 × 0.06) + (0.05 × - 0.04) = 8.65 percent
|
AACSB: Analytic
Blooms: Apply Difficulty: 1 Easy Learning Objective: 13-01 How to calculate expected returns. Section: 13.1 Topic: Expected return |
62.
|
You are comparing stock A to stock B. Given the following information, what is the difference in the expected returns of these two securities?
E(r)A = (0.45 × 0.12) + (0.55 × -0.22) = -6.70 percent
E(r)B = (0.45 × 0.17) + (0.55 × -0.31) = -9.40 percent Difference = -6.70 percent - (-9.40 percent) = 2.70 percent |
AACSB: Analytic
Blooms: Apply Difficulty: 1 Easy Learning Objective: 13-01 How to calculate expected returns. Section: 13.1 Topic: Expected return |
63.
|
Jerilu Markets has a beta of 1.09. The risk-free rate of return is 2.75 percent and the market rate of return is 9.80 percent. What is the risk premium on this stock?
Risk premium = 1.09 (0.098 - 0.0275) = 7.68 percent
|
AACSB: Analytic
Blooms: Apply Difficulty: 1 Easy Learning Objective: 13-04 The security market line and the risk-return trade-off. Section: 13.1 Topic: Risk premium |
64.
|
If the economy is normal, Charleston Freight stock is expected to return 16.5 percent. If the economy falls into a recession, the stock's return is projected at a negative 11.6 percent. The probability of a normal economy is 80 percent while the probability of a recession is 20 percent. What is the variance of the returns on this stock?
E(r) = (0.80 × 0.165) + (0.20 × -0.116) = 0.1088
Var = 0.80 (0.165 - 0.1088)2 + 0.20 (-0.116 - 0.1088)2 = 0.012634 |
AACSB: Analytic
Blooms: Apply Difficulty: 2 Medium Learning Objective: 13-01 How to calculate expected returns. Section: 13.1 Topic: Variance |
65.
|
The rate of return on the common stock of Lancaster Woolens is expected to be 21 percent in a boom economy, 11 percent in a normal economy, and only 3 percent in a recessionary economy. The probabilities of these economic states are 10 percent for a boom, 70 percent for a normal economy, and 20 percent for a recession. What is the variance of the returns on this common stock?
E(r) = (0.10 × 0.21) + (0.70 × 0.11) + (0.20 × 0.03) = 0.104
Var = 0.10 (0.21 - 0.104)2 + 0.70 (0.11 - 0.104)2 + 0.20 (0.03 - 0.104)2 = 0.002244 |
AACSB: Analytic
Blooms: Apply Difficulty: 2 Medium Learning Objective: 13-01 How to calculate expected returns. Section: 13.1 Topic: Variance |
66.
|
The returns on the common stock of New Image Products are quite cyclical. In a boom economy, the stock is expected to return 32 percent in comparison to 14 percent in a normal economy and a negative 28 percent in a recessionary period. The probability of a recession is 25 percent while the probability of a boom is 20 percent. What is the standard deviation of the returns on this stock?
E(r) = (0.20 × 0.32) + (0.55 × 0.14) + (0.25 × -0.28) = 0.071
Var = 0.20 (0.32 - 0.071)2 + 0.55 (0.14 - 0.071)2 + 0.25 (-0.28 - 0.071)2 = 0.045819 Std dev = √0.045819 = 21.41 percent |
AACSB: Analytic
Blooms: Apply Difficulty: 2 Medium Learning Objective: 13-01 How to calculate expected returns. Section: 13.1 Topic: Standard deviation |
67.
|
What is the standard deviation of the returns on a stock given the following information?
E(r) = (0.30 × 0.15) + (0.65 × 0.12) + (0.05 × 0.06) = 0.126
Var = 0.30 (0.15 - 0.126)2 + 0.65 (0.12 - 0.126)2 + 0.05 (0.06 - 0.126)2 = 0.000414 Std dev = √0.000414 = 2.03 percent |
AACSB: Analytic
Blooms: Apply Difficulty: 2 Medium Learning Objective: 13-01 How to calculate expected returns. Section: 13.1 Topic: Standard deviation |
68.
|
You have a portfolio consisting solely of stock A and stock B. The portfolio has an expected return of 9.8 percent. Stock A has an expected return of 11.4 percent while stock B is expected to return 6.4 percent. What is the portfolio weight of stock A?
0.098 = [0.114 x] + [0.064 (1 - x)]; x = 68 percent
|
AACSB: Analytic
Blooms: Apply Difficulty: 1 Easy Learning Objective: 13-01 How to calculate expected returns. Section: 13.2 Topic: Portfolio weight |
69.
|
You own the following portfolio of stocks. What is the portfolio weight of stock C?
Portfolio weightC = (600 × $18)/[(500 × $14) + (200 × $23) + (600 × $18) + (100 × $47)] = $10,800/$27,100 = 39.85 percent
|
AACSB: Analytic
Blooms: Apply Difficulty: 1 Easy Learning Objective: 13-01 How to calculate expected returns. Section: 13.2 Topic: Portfolio weight |
70.
|
You own a portfolio with the following expected returns given the various states of the economy. What is the overall portfolio expected return?
E(r) = (0.27 × 0.17) + (0.70 × 0.08) + (0.03 × -0.11) = 9.86 percent
|
AACSB: Analytic
Blooms: Apply Difficulty: 1 Easy Learning Objective: 13-01 How to calculate expected returns. Section: 13.2 Topic: Expected return |
71.
|
What is the expected return on a portfolio which is invested 25 percent in stock A, 55 percent in stock B, and the remainder in stock C?
E(r)Boom = (0.25 × 0.19) + (0.55 × 0.09) + (0.20 × 0.06) = 0.109
E(r)Normal = (0.25 × 0.11) + (0.55 × 0.08) + (0.20 × 0.13) = .0975 E(r)Bust = (0.25 × -0.23) + (0.55 × 0.05) + (0.20 × 0.25) = 0.02 E(r)Portfolio = (0.05 × 0.109) + (0.45 × 0.0975) + (0.50 × 0.02) = 5.93 percent |
AACSB: Analytic
Blooms: Apply Difficulty: 1 Easy Learning Objective: 13-01 How to calculate expected returns. Section: 13.2 Topic: Expected return |
72.
|
What is the expected return on this portfolio?
Portfolio value = (300 × $28) + (500 × $10) + (600 × $19) = $8,400 + $5,000 + $11,400 = $24,800; E(r) = ($8,400/$24,800) (0.12) + ($5,000/$24,800) (0.07) + ($11,400/$24,800) (0.15) = 12.37 percent
|
AACSB: Analytic
Blooms: Apply Difficulty: 1 Easy Learning Objective: 13-01 How to calculate expected returns. Section: 13.2 Topic: Expected return |
73.
|
What is the expected return on a portfolio that is equally weighted between stocks K and L given the following information?
E(r) = 0.25[(0.16 + 0.13)/2] + 0.75[(0.12 + 0.08)/2] = 11.13 percent
|
AACSB: Analytic
Blooms: Apply Difficulty: 1 Easy Learning Objective: 13-01 How to calculate expected returns. Section: 13.2 Topic: Expected return |
74.
|
What is the expected return on a portfolio comprised of $6,200 of stock M and $4,500 of stock N if the economy enjoys a boom period?
E(r)Boom = [$6,200/($6,200 + $4,500)][0.20] + [$4,500/($6,200 + $4,500)] [0.05] = 13.69 percent
|
AACSB: Analytic
Blooms: Apply Difficulty: 1 Easy Learning Objective: 13-01 How to calculate expected returns. Section: 13.2 Topic: Expected return |
75.
|
What is the variance of the returns on a portfolio that is invested 60 percent in stock S and 40 percent in stock T?
E(r)Boom = (0.60 × 0.17) + (0.40 × 0.07) = 0.13
E(r)Normal = (0.60 × 0.13) + (0.40 × 0.10) = 0.118 E(r)Portfolio = (0.20 × 0.13) + (0.80 × 0.118) = 0.1204 VarPortfolio = 0.20 (0.13 - 0.1204)2] + 0.80 (0.118 - 0.1204)2 = .000023 |
AACSB: Analytic
Blooms: Apply Difficulty: 2 Medium Learning Objective: 13-02 The impact of diversification. Section: 13.2 Topic: Variance |
76.
|
What is the variance of the returns on a portfolio comprised of $5,400 of stock G and $6,600 of stock H?
E(r)Boom = [$5,400/($5,400 + $6,600)][0.21] + [($6,600/($5,400 + $6,600)][0 .13] = 0.166
E(r)Normal = [$5,400/($5,400 + $6,600)][0.13] + [$6,600/($5,400 + $6,600)][0.05] = 0.086 E(r)Portfolio = (0.36 × 0.166) + (0.64 × 0.086) = 0.1148 VarPortfolio = [0.36 × (0.166 - 0.1148)2] + [0.64 × (0.086 - 0.1148)2] = 0.001475 |
AACSB: Analytic
Blooms: Apply Difficulty: 2 Medium Learning Objective: 13-01 How to calculate expected returns. Section: 13.2 Topic: Variance |
77.
|
What is the standard deviation of the returns on a portfolio that is invested 52 percent in stock Q and 48 percent in stock R?
E(r)Boom = (0.52 × 0.14) + (.0.48 × 0.16) = 0.1496
E(r)Normal = (0.52 × 0.08) + (0.48 × 0.11) = 0.0944 E(r)Portfolio = (0.10 × .0.1496) + (0.90 × 0.0944) = 0.09992 VarPortfolio = [0.10 × (0.1496 - 0.09992)2] + [0.90 × (0.0944 - 0.09992)2] = 0.000274 Std dev = √0.000274 = 1.66 percent |
AACSB: Analytic
Blooms: Apply Difficulty: 2 Medium Learning Objective: 13-01 How to calculate expected returns. Section: 13.2 Topic: Standard deviation |
78.
|
What is the standard deviation of the returns on a $30,000 portfolio which consists of stocks S and T? Stock S is valued at $21,000.
E(r)Boom = [$21,000/$30,000] [0.11] + [($30,000 - $21,000)/$30,000] [0.05] = 0.092
E(r)Normal = [$21,000/$30,000] [0.08] + [($30,000 - $21,000)/$30,000] [0.06] = 0.074 E(r)Bust = [$21,000/$30,000] [-0.05] + [($30,000 - $21,000)/$30,000] [0.08] = -0.011 E(r)Portfolio = (0.05 × 0.092) + (0.85 × 0.074) + (0.10 × -0.011) = 0.0664 VarPortfolio = [0.05 × (0.074 - 0.0664)2] + [0.85 × (0.068 - 0.0664)2] + [0.10 × (0.028 - 0.0664)2] = .000680940 Std dev = √0.000680940 = 2.61 percent |
AACSB: Analytic
Blooms: Apply Difficulty: 2 Medium Learning Objective: 13-01 How to calculate expected returns. Section: 13.2 Topic: Standard deviation |
79.
|
What is the standard deviation of the returns on a portfolio that is invested in stocks A, B, and C? Twenty five percent of the portfolio is invested in stock A and 40 percent is invested in stock C.
E(r)Boom = (0.25 × 0.17) + (0.35 × 0.06) + (0.40 × 0.22) = 0.1515
E(r)Normal = (0.25 × 0.08) + (0.35 × 0.10) + (0.40 × 0.15) = 0.115 E(r)Bust = (0.25 × -0.03) + (0.35 × 0.19) + (0.40 × -0.25) = -0.041 E(r)Portfolio = (0.05 × 0.1515) + (0.55 × 0.115) + (0.40 × -0.041) = 0.054425 VarPortfolio = [0.05 × (0.1515 - 0.054425)2] + [0.55 × (0.115 - 0.054425)2] + [0.40 × (-0.041 - 0.054425)2] = 0.006132 Std dev = √.006132 = 7.83 percent |
AACSB: Analytic
Blooms: Apply Difficulty: 2 Medium Learning Objective: 13-01 How to calculate expected returns. Section: 13.2 Topic: Standard deviation |
80.
|
What is the beta of the following portfolio?
ValuePortfolio = $6,700 + $3,000 + $8,500 = $18,200
BetaPortfolio = ($6,700/$18,200 × 1.41) + ($4,900/$18,200 × 1.23) + ($8,500/$18,200 × 0.79) = 1.09 |
AACSB: Analytic
Blooms: Apply Difficulty: 1 Easy Learning Objective: 13-04 The security market line and the risk-return trade-off. Section: 13.6 Topic: Beta |
81.
|
Your portfolio is comprised of 40 percent of stock X, 15 percent of stock Y, and 45 percent of stock Z. Stock X has a beta of 1.16, stock Y has a beta of 1.47, and stock Z has a beta of 0.42. What is the beta of your portfolio?
BetaPortfolio = (0.40 × 1.16) + (0.15 × 1.47) + (0.45 × 0.42) = 0.87
|
AACSB: Analytic
Blooms: Apply Difficulty: 1 Easy Learning Objective: 13-04 The security market line and the risk-return trade-off. Section: 13.6 Topic: Beta |
82.
|
Your portfolio has a beta of 1.12. The portfolio consists of 40 percent U.S. Treasury bills, 30 percent stock A, and 30 percent stock B. Stock A has a risk-level equivalent to that of the overall market. What is the beta of stock B?
BetaPortfolio = 1.12 = (0.4 × 0) + (0.3 × 1) + (0.3 × Î²B); βB = 2.73
The beta of a risk-free asset is zero. The beta of the market is 1.0. |
AACSB: Analytic
Blooms: Apply Difficulty: 1 Easy Learning Objective: 13-04 The security market line and the risk-return trade-off. Section: 13.6 Topic: Beta |
83.
|
You would like to combine a risky stock with a beta of 1.68 with U.S. Treasury bills in such a way that the risk level of the portfolio is equivalent to the risk level of the overall market. What percentage of the portfolio should be invested in the risky stock?
BetaPortfolio = 1.0 = [(x) × 1.68] + [(1 - x) × 0]; x = 60 percent
|
AACSB: Analytic
Blooms: Apply Difficulty: 1 Easy Learning Objective: 13-04 The security market line and the risk-return trade-off. Section: 13.6 Topic: Beta |
84.
|
The market has an expected rate of return of 11.2 percent. The long-term government bond is expected to yield 5.8 percent and the U.S. Treasury bill is expected to yield 3.9 percent. The inflation rate is 3.6 percent. What is the market risk premium?
Market risk premium = 11.2 percent - 3.9 percent = 7.3 percent
|
AACSB: Analytic
Blooms: Apply Difficulty: 1 Easy Learning Objective: 13-04 The security market line and the risk-return trade-off. Section: 13.7 Topic: Risk premium |
85.
|
The risk-free rate of return is 3.9 percent and the market risk premium is 6.2 percent. What is the expected rate of return on a stock with a beta of 1.21?
E(r) = 0.039 + (1.21 × 0.062) = 11.40 percent
|
AACSB: Analytic
Blooms: Apply Difficulty: 1 Easy Learning Objective: 13-04 The security market line and the risk-return trade-off. Section: 13.7 Topic: CAPM |
86.
|
The common stock of Jensen Shipping has an expected return of 14.7 percent. The return on the market is 10.8 percent and the risk-free rate of return is 3.8 percent. What is the beta of this stock?
E(r) = 0.147 = 0.038 + β (0.108 - 0.038); β = 1.56
|
AACSB: Analytic
Blooms: Apply Difficulty: 1 Easy Learning Objective: 13-04 The security market line and the risk-return trade-off. Section: 13.7 Topic: CAPM |
87.
|
The common stock of United Industries has a beta of 1.34 and an expected return of 14.29 percent. The risk-free rate of return is 3.7 percent. What is the expected market risk premium?
E(r) = 0.1429 = 0.037 + 1.34 Mrp; Mrp = 7.90 percent
|
AACSB: Analytic
Blooms: Apply Difficulty: 1 Easy Learning Objective: 13-04 The security market line and the risk-return trade-off. Section: 13.7 Topic: CAPM |
88.
|
The expected return on JK stock is 15.78 percent while the expected return on the market is 11.34 percent. The stock's beta is 1.51. What is the risk-free rate of return?
E(r) = 0.1578 = rf + 1.51 (0.1134 - rf); rf = 2.63 percent
|
AACSB: Analytic
Blooms: Apply Difficulty: 1 Easy Learning Objective: 13-04 The security market line and the risk-return trade-off. Section: 13.7 Topic: CAPM |
89.
|
Thayer Farms stock has a beta of 1.12. The risk-free rate of return is 4.34 percent and the market risk premium is 7.92 percent. What is the expected rate of return on this stock?
E(r) = 0.0434 + (1.12 × 0.0792) = 13.21 percent
|
AACSB: Analytic
Blooms: Apply Difficulty: 1 Easy Learning Objective: 13-04 The security market line and the risk-return trade-off. Section: 13.7 Topic: CAPM |
90.
|
The common stock of Alpha Manufacturers has a beta of 1.14 and an actual expected return of 15.26 percent. The risk-free rate of return is 4.3 percent and the market rate of return is 12.01 percent. Which one of the following statements is true given this information?
E(r) = 0.043 + 1.14 (0.1201 - 0.043) = 13.09 percent
The stock is underpriced because its actual expected return is greater than the CAPM return. |
AACSB: Analytic
Blooms: Apply Difficulty: 1 Easy Learning Objective: 13-04 The security market line and the risk-return trade-off. Section: 13.7 Topic: CAPM |
91.
|
Which one of the following stocks is correctly priced if the risk-free rate of return is 3.7 percent and the market risk premium is 8.8 percent?
E(r)A = 0.037 + (0.64 × 0.088) = 0.0933
E(r)B = 0.037 + (0.97 × 0.088) = 0.1224 E(r)C = 0.037 + (1.22 × 0.088) = 0.1444 Stock C is correctly priced. E(r)D = 0.037 + (1.37 × 0.088) = 0.1576 E(r)E = 0.037 + (1.68 × 0.088) = 0.1848 |
AACSB: Analytic
Blooms: Apply Difficulty: 1 Easy Learning Objective: 13-04 The security market line and the risk-return trade-off. Section: 13.7 Topic: CAPM |
92.
|
Which one of the following stocks is correctly priced if the risk-free rate of return is 3.2 percent and the market rate of return is 11.76 percent?
E(r)A = 0.0354 + [0.87 × (0.1176 - 0.0354)] = 0.1069
E(r)B = 0.0354 + [1.09 × (0.1176 - 0.0354)] = 0.1250 Stock B is correctly priced. E(r)C = 0.0354 + [1.18 × (0.1176 - 0.0354)] = 0.1324 E(r)D = 0.0354 + [1.34 × (0.1176 - 0.0354)] = 0.1456 E(r)E = 0.0354 + [1.62 × (0.1176 - 0.0354)] = 0.1686 |
AACSB: Analytic
Blooms: Apply Difficulty: 1 Easy Learning Objective: 13-04 The security market line and the risk-return trade-off. Section: 13.7 Topic: CAPM |
93.
|
You own a portfolio that has $2,000 invested in Stock A and $3,500 invested in Stock B. The expected returns on these stocks are 14 percent and 9 percent, respectively. What is the expected return on the portfolio?
E(Rp) = [$2,000/($2,000 + $3,500)] [0.14] + [$3,500/($2,000 + $3,500)] [0.09] = 10.82 percent
|
AACSB: Analytic
Blooms: Apply Difficulty: 1 Easy EOC: 13-2 Learning Objective: 13-01 How to calculate expected returns. Section: 13.1 Topic: Expected return |
94.
|
You have $10,000 to invest in a stock portfolio. Your choices are Stock X with an expected return of 13 percent and Stock Y with an expected return of 8 percent. Your goal is to create a portfolio with an expected return of 12.4 percent. All money must be invested. How much will you invest in stock X?
E(Rp) = 0.124 = .13x + .08(1 - x); x = 88 percent
Investment in Stock X = 0.88($10,000) = $8,800 |
AACSB: Analytic
Blooms: Apply Difficulty: 1 Easy EOC: 13-4 Learning Objective: 13-01 How to calculate expected returns. Section: 13.2 Topic: Expected return |
95.
|
What is the expected return and standard deviation for the following stock?
E(R) = 0.10(-0.19) + 0.60(0.17) + 0.30(0.35) = 18.80 percent
σ2 = 0.10(-0.19 - 0.188)2 + 0.60(0.17 - 0.188)2 + 0.30(0.35 - 0.188)2 = 0.022356 σ = √0.022356 = 14.95 percent |
AACSB: Analytic
Blooms: Apply Difficulty: 1 Easy EOC: 13-7 Learning Objective: 13-01 How to calculate expected returns. Section: 13.2 Topic: Standard deviation |
96.
|
What is the expected return of an equally weighted portfolio comprised of the following three stocks?
E(Rp)Boom = (0.19 + 0.13 + 0.31)/3 = 0.21
E(Rp)Bust = (0.15 + 0.11 + 0.17)/3 = 0.1433 E(Rp) = 0.64(0.21) + 0.36(0.1433) = 18.60 percent |
AACSB: Analytic
Blooms: Apply Difficulty: 1 Easy EOC: 13-9 Learning Objective: 13-01 How to calculate expected returns. Section: 13.2 Topic: Expected return |
97.
|
Your portfolio is invested 30 percent each in Stocks A and C, and 40 percent in Stock B. What is the standard deviation of your portfolio given the following information?
E(Rp)Boom = 0.3(0.25) + 0.4(0.25) + 0.3(0.45) = 0.31
E(Rp)Good = 0.3(0.10) + 0.4(0.13) + 0.3(0.11) = 0.115 E(Rp)Poor = 0.3(0.03) + 0.4(0.05) + 0.3(0.05) = 0.044 E(Rp)Bust = 0.3(-0.04) + 0.4(-0.09) + 0.3(-0.09) = -0.075 E(Rp) = 0.25(0.31) + 0.25(0.115) + 0.25(0.044) + 0.25(-0.075) = 0.0985 σp2 = 0.25(0.31 - 0.0985)2 + 0.25(0.115 - 0.0985)2 + 0.25(0.044 - 0.0985)2 + 0.25(-0.075 - 0.0985)2 = 0.019519250 σp = √0.019519250 = 13.97 percent |
AACSB: Analytic
Blooms: Apply Difficulty: 1 Easy EOC: 13-10 Learning Objective: 13-01 How to calculate expected returns. Section: 13.2 Topic: Standard deviation |
98.
|
You own a portfolio equally invested in a risk-free asset and two stocks. One of the stocks has a beta of 1.9 and the total portfolio is equally as risky as the market. What is the beta of the second stock?
βp = 1.0 = (1/3)(0) + (1/3)(βx) + (1/3)(1.9); βx = 1.1
|
AACSB: Analytic
Blooms: Apply Difficulty: 1 Easy EOC: 13-12 Learning Objective: 13-04 The security market line and the risk-return trade-off. Section: 13.6 Topic: Beta |
99.
|
A stock has an expected return of 11 percent, the risk-free rate is 5.2 percent, and the market risk premium is 5 percent. What is the stock's beta?
E(Ri) = 0.11 = 0.052 + βi(0.04); βi = 1.16
|
AACSB: Analytic
Blooms: Analyze Difficulty: 1 Easy EOC: 13-14 Learning Objective: 13-04 The security market line and the risk-return trade-off. Section: 13.7 Topic: CAPM |
100.
|
A stock has a beta of 1.2 and an expected return of 17 percent. A risk-free asset currently earns 5.1 percent. The beta of a portfolio comprised of these two assets is 0.85. What percentage of the portfolio is invested in the stock?
βp = 0.85 = 1.2x + (1 - x)(0); Bp = 71 percent
|
AACSB: Analytic
Blooms: Apply Difficulty: 1 Easy EOC: 13-17 Learning Objective: 13-04 The security market line and the risk-return trade-off. Section: 13.7 Topic: CAPM |
101.
|
Consider the following information on three stocks:
A portfolio is invested 35 percent each in Stock A and Stock B and 30 percent in Stock C. What is the expected risk premium on the portfolio if the expected T-bill rate is 3.3 percent?
E(Rp)Boom = 0.35(0.42) + 0.35(0.35) + 0.30(0.65) = 0.4645
E(Rp)Normal = 0.35(0.31) + 0.35(0.18) + 0.30(0.04) = 0.1835 E(Rp)Bust = 0.35(0.17) + 0.35(-0.17) + 0.30(-0.64) = -0.192 E(Rp) = 0.45(0.51) + 0.50(0.229) + 0.05(-0.122) = 0.2912 RPi = 0.2912 - 0.033 = 29.99 percent |
AACSB: Analytic
Blooms: Apply Difficulty: 2 Medium EOC: 13-23 Learning Objective: 13-02 The impact of diversification. Section: 13.1 Topic: Portfolio risk premium |
102.
|
Suppose you observe the following situation:
Assume these securities are correctly priced. Based on the CAPM, what is the return on the market?
Rf: (0.12 - Rf)/0.8 = (0.16 - Rf)/1.1; Rf = 1.33 percent
RM: 0.12 = 0.0133 + 0.8(RM - 0.0133); RM = 14.67 percent |
AACSB: Analytic
Blooms: Apply Difficulty: 2 Medium EOC: 13-27 Learning Objective: 13-04 The security market line and the risk-return trade-off. Section: 13.7 Topic: CAPM |
103.
|
Consider the following information on Stocks I and II:
The market risk premium is 8 percent, and the risk-free rate is 3.6 percent. The beta of stock I is _____ and the beta of stock II is _____.
E(RI) = 0.06(0.15) + 0.69(0.35) + 0.25(0.43) = 0.358
BI: 0.358 = 0.036 + BI (0.08); BI = 4.03 E(RII) = 0.06(-0.35) + 0.69(0.35) + 0.25(0.45) = 0.333 BII: 0.333 = 0.036 + BII (0.08); BII = 3.71 |
AACSB: Analytic
Blooms: Analyze Difficulty: 2 Medium EOC: 13-26 Learning Objective: 13-04 The security market line and the risk-return trade-off. Section: 13.7 Topic: CAPM |
104.
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Suppose you observe the following situation:
Assume the capital asset pricing model holds and stock A's beta is greater than stock B's beta by 0.21. What is the expected market risk premium?
E(RA) = 0.22(-0.12) + 0.48(0.10) + 0.30(0.23) = .0906
E(RB) = 0.22(-0.27) + 0.48(0.05) + 0.30(0.28) = .0486 SlopeSML = (.0906 - 0.0486)/0.21 = 20 percent |
AACSB: Analytic
Blooms: Analyze Difficulty: 2 Medium EOC: 13-28 Learning Objective: 13-03 The systematic risk principle. Section: 13.7 Topic: Security market line |
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