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Portfolio consists of two independent risky assets AA and BB with expected returns 4\%4% and 5\%5% and standard deviations 2\%2% and 6\%6%. Share of asset AA is 60\%60%
Standard deviation of the portfolio return is:
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- Two-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?A portfolio consists of $15 million of asset A (for which annual expected return is 10% and annual return volatility is 25%), $15 million of asset B (for which annual expected return is 15% and annual return volatility is 30%), and $20 million of asset C (for which annual expected return is 20% and annual return volatility is 35%). The return correlation between each pairing of assets A, B and C is 0.2. Assume the annual portfolio return is normally distributed. What is the annual return volatility of the portfolio? a. 21.3% b. 24.9% c. 27.8% d. 32.5% e. None of the aboveA 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. Compute and justify the expected rate of return would a security earn if it had a 0.45 correlation with the market portfolio and a standard deviation of 55 percent.
- A portfolio consists of $15 million of asset A (for which annual expected return is 10% and annual return volatility is 25%), $15 million of asset B (for which annual expected return is 15% and annual return volatility is 30%), and $20 million of asset C (for which annual expected return is 20% and annual return volatility is 35%). The return correlation between each pairing of assets A, B and C is 0.2. Assume the annual portfolio return is normally distributed. What is the 1-year 5% Value-at-Risk of the portfolio (i.e., there is a 5% probability that the portfolio will suffer a loss greater than what dollar value for the year)? a. $1.24 million b. $3.86 million c. $9.75 million d. $19.50 million e. None of the aboveA portfolio consists of 70% of investment A and 30% of investment B. The expected returnon investment A is 7% and the expected return on investment B is 9%. The standarddeviation of returns of investment A is 2.19%. The standard deviation of returns ofinvestment B is 4.1%. The correlation coefficient of the returns of investment A andinvestment B=+1. Finda. the expected return from the portfoliob. the standard deviation (risk) of the returns from the portfolioExpected returns and standard deviations of three risky assets are as follows: Expected Return Standard Deviations Correlations A B C A 11% 30% 1.0 0.3 0.15 B 14.5% 45% 0.3 1.0 0.45 C 9% 30% 0.15 0.45 1.0 1. Calculate the expected return and standard deviations of a portfolio of stocks A, B and C. Assume an equal investment in each stock. 2. Compute the Sharpe ratio of a portfolio that has 30% in A, 30% in B and 40% in C. The risk-free interest rate is 4%. 3. Assume a portfolio of asset B and C. Determine the weight in asset B, such that the total portfolio risk is minimized.
- Calculate the expected return and standard deviation for the three - asset portfolio assuming the portfolio consists of the following weights:a ) 1/3 of Uno, 1/3 of Dos, and 1/3 Tres (meaning equal amounts of each stock in the portfolio). b ) 50% Uno, 40% Dos and 10% Tresc) 0% Uno, 0% Dos, 100% TresConsider a position consisting of a K200,000 investment in Asset A and a K300,000 investment in Asset B. Assume that the daily volatilities of the assets are 1.5% and 1.8% respectively, and that the coefficient of correlation between their returns is 0.4. What is the five day 95% Value at Risk (VaR) for the portfolio (95% confidence level represents 1.65 standard deviations on the left side of a normal distribution)?Use the following information to calculate the expected return and standard deviation of a portfolio that is 40 percent invested in Kuipers and 60 percent invested in SuCo:Kuipers SuCoExpected return, E(R) 30% 26%Standard deviation, F 65 45Correlation 30
- Two 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 between Stock 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? (Please show work)You are evaluating various investment opportunities currently available and you have calculated expected returns and standard deviations for five different well-diversified portfolios of risky assets:Portfolio Expected Return Standard DeviationQ 7.8% 10.5%R 10.0 14.0S 4.6 5.0T 11.7 18.5U 6.2 7.5a. For each portfolio, calculate the risk premium per unit of risk that you expect to receive ([E(R) − RFR]/σ). Assume that the risk-free rate is 3.0 percent.b. Using your computations in Part a, explain which of these five portfolios is most likely tobe the market portfolio. Use your calculations to draw the capital market line (CML).c. If you are only willing to make an investment with σ = 7.0%, is it possible for you toearn a return of 7.0 percent?d. What is the minimum level of risk that would be necessary for an investment to earn7.0 percent? What is the composition of the portfolio along the CML that will generatethat expected return?e. Suppose you are now willing to make an investment…Expected returns and standard deviations of three risky assets are as follows: Expected Return Standard Deviations Correlations A B C A 11% 30% 1.0 0.3 0.15 B 14.5% 45% 0.3 1.0 0.45 C 9% 30% 0.15 0.45 1.0 3. Assume a portfolio of asset B and C. Determine the weight in asset B, such that the total portfolio risk is minimized.
