You decide to invest in a portfolio consisting of 24 percent Stock A, 50 percent Stock B, and the remainder in Stock C. Based on the following information, what is the variance of your portfolio? State of Economy Recession Normal Boom Probability of State of Economy .117 .671 .212 Return if State Occurs Stock A -10.40% 9.70% 21.61% Stock B -3.80% 10.72% 25.23% Stock C -12.80% 17.20% 29.93%
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- 10. Returns and Standard Deviations [LO1] Consider the following information: Rate of Return If State OccursRate 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 VarianceAn investor has preferences represented by the utility function U = E(r) - 20². What is her certainty equivalent return for a portfolio with an expected return of 10% and a standard deviation of 15%? Oa. 1.0% O b. 2.5% O c. 0.5% O d. 5.5% O e. 10.0%
- Consider the following information: State of Probability of Economy State of Economy .17 .43 .33 .07 Boon Good Poor Bast Stock A a. Expected return b. Variance c. Standard deviation 11.70% 0.00120 3.40 .352 Answer is complete but not entirely correct. 122 012 -.112 % Rate of Return if State Occurs Stock B a. Your portfolio is Invested 32 percent each in A and C and 36 percent in B. What is the expected return of the portfolio? Note: Do not round Intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16. b. What is the variance of this portfolio? Note: Do not round Intermediate calculations and round your answer to 5 decimal places, e.g., .16161. c. What is the standard deviation of this portfolio? Note: Do not round Intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16. .452 .102 .022 -.252 Stock C .332 .172 -.052 -.092What 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) = 25% SDA = 18% WA = 0.75 COVA, B = -0.0009 Select one: A. 13.65% B. 20 U ODN 20.0% C. 18.64% D. 22.5% Asset (B) E(R₂) = 15% SDB = 11% WB = 0.25You decide to invest in a portfolio consisting of 20 percent Stock A, 52 percent Stock B, and the remainder in Stock C. Based on the following information, what is the variance of your portfolio? State of Economy Probability of State of Economy Return if State Occurs Stock A Stock B Stock C Recession .119-10.60% -4.00 % -13.00% Normal.675 9.90 % 10.76 % 17.40% Boom .206 21.65 % 25.31% 30.01% Multiple Choice .00861.00801.01162.00973.00904
- 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 %You decide to invest in a portfolio consisting of 26 percent Stock A, 49 percent Stock B, and the remainder in Stock C. Based on the following information, what is the variance of your portfolio? State of Economy Recession Normal Boom Probability of State Economy .116 .669 .215 Multiple Choice Return if State Occurs Stock B -3.70% Stock A -10.30% 9.60% 21.59% 10.70% 25.19% Stock C -12.70% 17.10% 29.89%Given the following information below for Stock A, calculate its standard deviation 6. Where: wwwww pi Probability of some state į a (R-R)'xp mean il Ri = Expected return in state į Rmsa Expected return Economic State i pi Probability of some statei Ri= Expected return in statei Weighted Ri for each State .39 22% Вoom Normal 11% 60 Bust 21 3% Rmean (Sum Column for Stock A Expected Returnl Bring the answer you calculated for Rmean Expected return above and enter it in the correct column below the finish calculating the Standard Deviation. (Ri-Rmean* x pi State i (Ri-Rmean) (Ri - Bmean) pi= Ri = Rmean= 22% 39 Boom Normal 60 11% Bust 3% 21 Sum of Column = Variance) = Square Root of Variance Standard Deviation
- For an investment in a stock, the probability of the return being -10.0% is 0.3, 10.0% is 0.4, and 30.0% is 0.3. Given the probability distributions, what is the expected rate of return for the investment?Choices:A. 10.00%B. 9.50%C. 15.00%D. 12.50%E. 13.00%Qn4: Assume a two-stock portfolio created with $50,000 is invested in both HT and Collections. The expected returns are given below: Calculate the portfolio's return for each state of economy and fill them in the last column, under "Portfolio" (Hint: The portfolio's expected return is a weighted average of the returns of the portfolio's component assets). Calculate the portfolio's expected return (Hint: You have to incorporate the probability distribution of each state of economy). Calculate the portfolio's standard deviation. Economy Recession Below average Average Above average Boom Prob. HT 0.1 -27.0% 0.2 -7.0% 0.4 15.0% 0.2 30.0% 0.1 45.0% Coll 27.0% 13.0% 0.0% -11.0% -21.0% PortfolioTwo-Asset Portfolio Stock A has an expected return of 12% and a standard deviation of 40%. Stock B has an expected return of 18% and a standard deviation of 60%. The correlation coefficient between Stocks A and B is 0.2. What are the expected return and standard deviation of a portfolio invested 30% in Stock A and 70% in Stock B?