Problem 11-27 Portfolio Standard Deviation Security F has an expected return of 11.1 percent and a standard deviation of 44.1 percent per year. Security G has an expected return of 16.1 percent and a standard deviation of 63.1 percent per year. a. What is the expected return on a portfolio composed of 29 percent of Security F and 71 percent of Security G? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) b. If the correlation between the returns of Security F and Security G is .24, what is the standard deviation of the portfolio described in part (a)? (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. Standard deviation 14.65 60.91 % < Prev 8 of 11 Next >
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- Question 14 Security F has an expected return of 10 percent and a standard deviation of 43 percent per year. Security G has an expected return of 15 percent and a standard deviation of 62 percent per year. a. What is the expected return on a portfolio composed of 30 percent of Security F and 70 percent of Security G? b. If the correlation between the returns of Security F and Security G is .25, what is the standard deviation of the portfolio described in part (a)?QUESTION 12 Use the table below to answer questions 12 through 15. What is the portfolio tracking error? O A. 81.35 basis points OB. 86.35 basis points O C. 83.35 basis points D. 80.35 basis points Month January February March April May June July August September October November December Portfolio A's Return (%) 2.15 0.89 1.15 -0.47 1.71 0.10 1.04 2.70 0.66 2.15 -1.38 -0.59 Benchmark Index Return (%) 1.65 -0.10 0.52 -0.60 0.65 0.33 2.31 1.10 1.23 2.02 -0.61 -1.20Question Fourteen You are given the following data for four portfolios over a recent 10-year period: a) b) c) d) Portfolio 1 2 3 4 Risk Free Market Annual Return% Standard Deviation % 9 12 10 14 10 15 12 17 6 13 Rank these portfolios using the Sharpe Measure. Rank these portfolios using the Treynor Measure. Rank these portfolios using the Jensen Measure 11 Explain any differences that you observe in the rankings. Portfolio Beta 1.15 1.20 1.50 1.45
- Portfolio Expected return Standard deviation Q 7.8% 10.5% R 10.0% 14.0% S 4.6% 5.0% T 11.7% 18.5% U 6.2% 7.5% What is the minimum level of risk that would be necessary for an investment to earn 7.0%? What is the composition of the portfolio along the Capital Market Line (CML) that will generate that expected return? Rf= 3%Problem 11-31 Beta and CAPM A portfolio that combines the risk-free asset and the market portfolio has an expected return of 7.5 percent and a standard deviation of 10.5 percent. The risk-free rate is 4.5 percent, and the expected return on the market portfolio is 12.5 percent. Assume the capital asset pricing model holds. What expected rate of return would a security earn if it had a 50 correlation with the market portfolio and a standard deviation of 55.5 percent? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) Expected rate of return %INV 2 -1 You are considering an investment in a portfolio P with the following expected returns in three different states of nature: Recession Steady Expansion Probability 0.10 0.55 0.35 Return on P -15% 20% 40% The risk-free rate is currently 4%, and the market portfolio M has an expected return of 16% and standard deviation of 20%, and its correlation with P is .7. Is P an efficient portfolio relative to the market?
- Question four Wipro provides you the following information's. Calculate the expected rate of return of an asset Expected market return 15% Risk-free rate of return 9% Standard deviation of an asset 2.4% Market Standard deviation 2.0% Correlation co-efficient of portfolio with market 0.9 Question five Share of ABE Ple has a beta of 1.5, the risk free rate of retum is 5% and the market expected return is 9%. You want invest ABE Plc shares and the expected return from share is 11%. Is the share overpriced according to CAPM?Question 14 If the simple CAPM is valid and all portfolios are priced correctly, which of the situations below is possible? Consider each situation independently. and assume the rísk-free rate is 2.5%. A) Portfolio Expected Return Beta A 17.5% 1.5 Market 12.5% 1.0 B) Portfolio Expected Return Standard Deviation A 8.5% 18.0% Market 10.0% 24.0% Portfolio Expected Return 13.5% 10.0% Beta A 1.2 Market 1.0 D) Portfolio Expected Return Beta A 7.5% 0.6 Market 10.0% 1.0 Option D Option A Option C Option BQuestion 16 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 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 7 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 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…
- Question 10 Save Answer Your portfolio allocates equal funds to the DW Co. and Woodpecker, Inc.. DW Co. stock has an annual return mean and standard deviation of 12 percent and 30 percent, respectively. Woodpecker, Inc., stock has an annual return mean and standard deviation of 20 percent and 4242 percent, respectively. The return correlation between DW Co. and Woodpecker, Inc., is zero. What is the smallest expected loss for your portfolio in the coming month with a probability of 2.5 percent?Question 3 A portfolio consisting of 5 securities could have its beta factor computed Security % of portfolio Beta factor of A B с D E 20 10 15 20 35 security 0.90 1.25 1.10 1.15 0.70 as follows: Weighted beta factor 0.180 0.125 0.165 0.230 0.245 If the risk-free rate of return is 12% and the expected return on the market is 20%. Determine the expected return of this portfolio.INV 2 -1c You are considering an investment in a portfolio P with the following expected returns in three different states of nature: Recession Steady Expansion Probability 0.10 0.55 0.35 Return on P -15% 20% 40% The risk-free rate is currently 4%, and the market portfolio M has an expected return of 16% and standard deviation of 20%, and its correlation with P is .7. c. Does portfolio P have a positive or negative alpha relative to its required return given its level of risk? Would you characterize P as a buy or sell, and why?