Question 18 If Treasury bills yield 6.0% and the market risk premium is 9.0%, then a portfolio with a beta of 1.5 would be expected to yield: 12.0% 17.0% 19.5% 21.5%
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- 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.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% (Q1) For each portfolio, calculate the risk premium per unit of risk (Sharpe ratio) that you expect to receive. Assume that the risk-free rate is 3.0%. (Q2) Using answers from Q1, which of these five portfolios is most likely to be the market portfolio and explain why. (200 words maximum)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%
- Question 3 a. According to the Capital Asset Pricing Model, what must be the beta of a portfolio with E[r] = 12%, if rf 3% and E[TM] = 8%? b. The market price of a security is $50. Its expected rate of return is 16%. The risk-free rate is 8%, and the market risk premium is 8.5%. What will be the market price of the security if its covariance with the market portfolio doubles (and all other variables remain unchanged)? Assume that the stock is expected to pay a constant dividend in perpetuity.Question 25 (2.5 points) Listen The risk-free rate is 1.45% and the market risk premium is 5.21%. According to the Capital Asset Pricing Model (CAPM), a stock with a beta of 1.13 will have an %. expected return of 1) 7.34% 2) 15.66% 3) 5.56% 4) 9.12% 5) 13.25%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 2 The expected returns and standard deviation of returns for two securities are as follows: Security Z Security Y Expected Return 15% 35% Standard Deviation 20% 40% The correlation between the returns is +0.25. a) Calculate the expected return and standard deviation for the following portfolios: i) All in Z ii) 0.75 in Z and 0.25 in Y iii) 0.5 in Z and 0.5 in Y iv) 0.25 in Z and 0.75 in Y v) All in Y b) Draw the mean-standard deviation frontier. c) Which portfolios might not be held by an investor who likes high expected return and low standard deviation?Part B 1. What must be the beta of a portfolio with E(rp) = 18%, if rƒ= 6% and E(rm) = 14%? 2. The market price of a security is $50. Its expected rate of return is 14%. The risk-free rate is 6%, and the market risk premium is 8.5%. What will be the market price of the security if its correla- tion coefficient with the market portfolio doubles (and all other variables remain unchanged)? Assume that the stock is expected to pay a constant dividend in perpetuity.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 7 Consider the following Information: Portfolio ER Risk Free Market SD 6.00 13.2 A 11.2 a. Calculate the Sharpe ratios for the market portfolio and portfolio A Sharpe Ratio=(Return on portfolio-Riskfreerate)/SD Market Portfo 0.2 Portfolio A 0.21 2.1 b. If the simple CAPM is valid, is the above situation possible? 0.00 36 25 Beta Market Beta AQuestion 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…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?