State of Economy Boom Bust Probability of State of Economy .75 .25 Rate of Return If State Occurs Stock A .08 .11 Stock B .17 -.05 Stock C .24 -.08 What is the expected return and standard deviation of a portfolio with 20 percent invested in A, 20 percent in B and 60 percent in C?
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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.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 = 0.75Consider 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 %
- 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 A. Calculate the expected return (mean) for each security.Consider the following information: Rate of Return if State Occurs Probability of State State of Economy of Economy Stock A Stock B Stock C Boom .20 .35 .45 .25 Good .45 .20 .16 .09 Poor .25 -.02 -.05 -.03 Bust .10 -.16 -.20 -.12 a. Your portfolio is invested 24 percent each in A and C, and 52 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.) a. Expected return b-1. Variance b-2. Standard deviation % %For each 1% change in the market portfolio's excess return, the investment's excess return is expected to change by due to risks that it has in common with the market. ..... А. 1% В. beta C. alpha D. 0%
- Example 9: What is the portfolio standard deviation for a two-asset portfolio comprised of the following two assets if the correlation of their returns is 0.5? Asset A Asset B Expected return Stańdard deviation of expected returns 10% 20% 5% 20% Amount invested 740,000 760,000Consider the following information: Rate of Return if State Occurs Probability of State- State of Economy of Economy Stock A Stock B Stock C Boom .15 .31 .41 .21 Good .60 .16 .12 .10 Poor .20 -.03 -.06 -.04 Bust .05 -.11 -.16 -.08 a. 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.)Supposing the return from an investment has the following probability distribution Return Probability R (%) 8 0.2 10 0.2 12 0.5 14 0.1 Required: What is the expected return of the investment? What is the risk as measured by the standard deviation of expected returns?
- 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(RA) = 25% SDA = 18% WA = 0.75 COVAB= -0.0009 Asset (B) E(R₂) = 15% SDB = 11% W₁ = 0.2510. Returns and Standard Deviations [LO1] Consider the following information: Rate of Return If State OccursUSE THE INFORMATION BELOW FOR THE FOLLOWING PROBLEM(S) Asset (A) Asset (B) E(RA)=10% E(RB) = 15% (σA)=8% (GB) = 9.5% WA = 0.25 WB = 0.75 COVA.B = 0.006 What is the standard deviation of this portfolio? O 13.75% O 8.79% O 12.5% O 7.72%