3) The risk free rate is 3.5% The expected return of a well-diversified fund is 13% and the beta is 1.15. The expected return of the Market is 9%. Compare both investments using the M² ratio.
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- 8. Assume the risk-free rate is 6.7% and the expected return on the market portfolio is 7.8%. Use the capital asset pricing model (CAPM) to find the required return for each of the securities in the table here, 7. Review On Click the icon to see the Worked Solution. The required return for investment A is %. (Round to one decimal place.) The required return for investment B is %. (Round to one decimal place.) The required return for investment C is %. (Round to one decimal place.) The required return for investment D is %. (Round to one decimal place.) The required return for investment E is %. (Round to one decimal place.) 7: Data Table (Click on the icon here in order to copy its contents of the data table below into a spreadsheet.) Security Beta A 1.34 в 0.93 0.13 0.96 E 0.67Consider the following risk-return characteristics for funds A and B: Expected return Risk Fund A (Equity) 12% 20% Fund B (Debt) 9% 16% The correlation coefficient between the returns of fund A and fund B is 0.4. 1. Which Fund is riskier? Write 1 if your answer is Fund A, write 2 if your answer is Fund B, or write 3 if your answer is undetermined. 2.1 What is the weight of fund A in the minimum variance portfolio? 2.4 What is the risk of the minimum variance portfolio? 2.2 What is the weight of Fund B in the minimum variance portfolio? 2.3 What is the expected return of the minimum variance portfolio?The risk-free rate is currently 3.3%, and the market return is 14.8%. Assume you are considering the following investments: Investment Beta A 1.54 B 1.16 C 0.51 D 0.11 E 2.14 . a. Which investment is most risky? Least risky? b. Use the capital asset pricing model (CAPM) to find the required return on each of the investments. c. Find the security market line (SML), using your findings in part b. d. On the basis of your findings in part c, what relationship exists between risk and return? Explain.
- Suppose the risk-free rate is 6 percent and the market portfolio has an expected return of 12 percent. The market portfolio has a standard deviation of 7 percent. Portfolio Z has a correlation coefficient with the market of 0.35 and standard deviation of 6 percent. According to the capital asset pricing model, what is the expected return on portfolio Z a. 12.6 percent b. 7.8 percent c. 9.87 percent d. 12.05 percentSee AttachedAn Equity has a beta of 0.9 and an expected return of 9%. A risk free asset currently earns 2%. i.) What is the expected return on a portfolio that is equally invested in two assets? ii.) If a portfolio of the two assets has an expected return of 6%, what is its beta? iii.) If a portfolio of the two assets has a beta of 1.5, what is its weight ? Iv.) If a portfolio of the two assets has a beta of 1.5, what are the portfolio weights? How do you interpret the weights for the two assets in this case? Explain.
- You are given the following data: Risk-free rate is 4.1 percent, market return is 6.5 per cent, and market volatility is 12.2 per cent. The return of a portfolio is 11 per cent, its volatility is 15.2214 per cent, and its beta is 0.7. Calculate the measure called the Information ratio. A. 0.193 B. 0.414 C. 0.548 D. 4.500You plan to invest in either a mutual fund X or mutual fund Y. The following information about the annual return (%) of each of these investments under different demand levels is available, along with the probability that each of these states of nature will OCcur: Demand Probability Fund X Fund Y High 0.4 30% 25% Medium 0.4 22% 34% low 0.2 17% 25% a) Compute expected return, standard deviation for each investment and covariance of the mutual fund X and mutual fund Y. b) Would you invest in the mutual fund X or Y? Explain. c) If you chose to invest in mutual fund X and the state of nature turns up to be the low demand, what do you think about the possibility of the opportunity loss of 8% in comparison to investing in mutual fund Y?You manage a risky portfolio with an expected rate of return of 17% and a standard deviation of 28%. The T-bill rate is 7%. Your client's degree of risk aversion is A = 2.0, assuming a utility function u E(r) = A0². a. What proportion, y, of the total investment should be invested in your fund? (Do not round intermediate calculations. Round your answer to 2 decimal places.) Investment proportion y Expected return Standard deviation - % b. What are the expected value and standard deviation of the rate of return on your client's optimized portfolio? (Do not round intermediate calculations. Round your answers to 2 decimal places.) % %
- Suppose you invest 3/4 of your funds in security A and 1/4 in B. Mean returns for A and B are 16% and 12%. The variance of return for A and B are 25 and 16. The correlation between the two security return is 0.5. What is (a) standard deviation of the portfolio return, (b) What is the net benefit from diversification? (Hint: net benefit is in terms of reduction in standard deviation of portfolio return).Two investments, X and Y, have the characteristics shown below. E(X) = $70, E(Y)3D$120, o =7,000, a = 14,000, and ory =7,500 If the weight of portfolio assets assigned to investment X is 0.3, compute the a. portfolio expected return and b. portfolio risk. a. If the weight of portfolio assets assigned to investment X is 0.3, the portfolio expected retum is $ (Type an integer or a decimal.) b. If the weight of portfolio assets assigned to investment X is 0.3, the portfolio risk is approximately $. (Round to two decimal places as needed.)Suppose the risk-free rate is 5%. The expected return and standard deviation of a risky asset are 10% and 20%, respectively. a. What is the slope of the capital allocation line (CAL) constructed using the risk-free asset and the risky asset? A. 0.30 B. 0.15 C. 0.25 D. 0.20 b. If an investor has a risk aversion coefficient of A=2, what is the optimal fraction of the money that she invests in the risky asset? A. 62.5% B. 42.5% C. 30% D. 20% c. If an investor invest 25% of her money in the risky asset, which is the investor’s risk aversion coefficient? a. 5 b. 1 c. 3 d. 4
