What is the expected return of an equally weighted portfolio comprised of the following three stocks? State of Economy Probability of State of Economy Rate of Return if State Ocurs Stock B Stock A Stock C .07 .13 .22 .25 .19 .15 -.29 .13 .05 Boom Normal .72 Bust .03 -.14
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What is the expected return of an equally weighted portfolio comprised of the following three stocks?
State of Economy |
Probability of State of Economy |
Rate of Return if State Occurs |
||||||||
Stock A | Stock B | Stock C | ||||||||
Boom | .25 | .19 | .13 | .07 | ||||||
Normal | .72 | .15 | .05 | .13 | ||||||
Bust | .03 |
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- State ofEconomy Probabilityof State Return on AssetDin State Return on AssetEin State Return on AssetFin State Boom 0.35 0.060 0.310 0.25 Normal 0.50 0.060 0.180 0.20 Recession 0.15 0.060 -0.210 0.10 1.As an investor, compare Stock E with Stock F, and identify which stock willyou select and why.a. Based on the following information, calculate the expected return and standard deviation for each of the following stocks. What are the covariance and correlation between the returns of the two stocks? Calculate the portfolio return and portfolio standard deviation if you invest equally in each asset. Returns State of Economy Prob K Recession 0.25 -0.02 0.034 Normal 0.6 0.138 0.062 Boom 0.15 0.218 0.092 b. A portfolio that combines the risk-free asset and the market portfolio has an expected return of 7 percent and a standard deviation of 10 percent. The risk-free rate is 4 percent, and the expected return on the market portfolio is 12 percent. Assume the capital asset pricing model holds. What expected rate of return would a security earn if it had a .45 correlation with the market portfolio and a standard deviation of 55 percent? c. Suppose the risk-free rate is 4.2 percent and the market portfolio has an expected return of 10.9 percent. The market portfolio has a variance of…10. Returns and Standard Deviations [LO1] Consider the following information: Rate of Return If State Occurs
- a. Based on the following information, calculate the expected return and standard deviation for each of the following stocks. What are the covariance and correlation between the returns of the two stocks? Calculate the portfolio returm and portfolio standard deviation if you invest equally in each asset. Returns State of Economy Prob J K Recession 0.25 -0.02 0.034 Normal 0.6 0.138 0.062 Boom 0.15 0.218 0.092 b. A portfolio that combines the risk-free asset and the market portfolio has an expected return of percent and a standard deviation of 10 percent. The risk-free rate is 4 percent, and the Page 7 of 33 expected return on the market portfolio is 12 percent. Assume the capital asset pricing model holds. What expected rate of return would a security earn if it had a 45 corelation with the market portfolio and a standard deviation of 55 percent? C. Suppose the risk-free rate is 4.2 percent and the market portfolıo has an expected return of 10.9 mercent Tibemadkat normfeliobasiabiamance…An investment Analysist provide the following data regarding the possible future returns on AmDa’s common stock State of economy Probability ReturnRecession 0.25 -1.4%Normal 0.45 9.4%Boom 0.30 15.4%i. Compute the expected return on the security? ii. Compute the standard deviation on the security? iii. Compute the Coefficient of variationBased on the following information, calculate the expected return and standard deviation for each of the following stocks. What are the covariance and correlation between the returns of the two stocks? Calculate the portfolio return and portfolio standard deviation if you invest equally in each asset. Returns State of Economy Prob J K Recession 0.25 -0.02 0.034 Normal 0.6 0.138 0.062 Boom 0.15 0.218 0.092
- What is the expected return of a portfolio of two risky assets if the expected return E(Ri), standard deviation (SDi), covariance (COVij), and asset weight (Wi) are as shown below? Asset (A) E(R₂) = 10% SDA = 8% WA = 0.25 COVAB = 0.006 Select one: A. 13.75% B. 7.72% C. 12.5% D. 8.79% Asset (B) E(RB) = 15% SDB = 9.5% WB = 0.75Rate of Return If State Occurs State of Probability of State of Economy Stock A Stock B Economy Stock C Вoom .62 .10 .19 .37 Bust .38 .16 .08 -.04 What is the expected return on an equally weighted portfolio of these three stocks? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) What is the variance of a portfolio invested 16 percent each in A and B and 68 percent in C? (Do not round intermediate calculations and round your answer to 6 decimal places, e.g., .161616.) % Expected return VarianceConsider the following information: Rate of Return if State Occurs State of Probability of State Economy of Economy Stock A Stock B Stock C Boom .68 .11 .05 .36 Bust .32 .25 .31 –.16 a. What is the expected return on an equally weighted portfolio of these three stocks? b. What is the variance of a portfolio invested 23 percent each in A and B and 54 percent in C?
- Consider the following information: Rate of Return if State Occurs Probability of State of Economy .15 State of Economy Stock A Stock B Stock C Вoom .35 .40 .28 Good .45 .16 .17 .09 Рor .30 -.01 -.03 .01 Bust 10 -10 -12 -.09 Your portfolio is invested 30 percent each in A and C, and 40 percent in B. What is the expected return of the portfolio? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) b-1. What is the variance of this portfolio? (Do not round intermediate calculations and round your answer to 5 decimal places, e.g., .16161.) b-2. What is the standard deviation? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) а. a. Expected return % b-1. Variance b-2. Standard deviation %Consider the following information: State of Economy Probability of State of Economy Rate of Return if State Occurs Stock A Stock B Recession 0.30 0.05-0.15 Normal 0.55 0.15 0.15 Boom 0.15 0.20 0.35 Calculate the expected return for the two stocks.3. The following information is given with respect to stock A: Scenario Probability Market return 1 0.1 -0.18 2 0.3 0.07 3 0.4 0.16 4 0.2 0.21 Knowing that the Rfis 0.07 compute alpha and the information ratio. Portfolio P return -0.32 0.00 0.22 0.40