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- IBM AMZN E(R) 0.07 0.11 Standard Deviation0.10 0.18 Correlation0.45 Suppose you have the above data on IBM and Amazon, compute the expected return and the standard deviation of an equally weighted portfolio invested in the two securitiesis there a diversification benefit? Please show your work and round to at least 3 decimal placesQuestion 7 The Amelia Knight investment fund has a total capital of R120 000 invested in three shares: SharesReturnInvestedTechnological Sector25%R60 000Education Sector13%R30 000Mining Sector20%R30 000 The current risk-free rate is 5,5%. Market returns have the following estimated probability distribution for the next period: ProbabilityMarket return0,3–10%0,1 14%0,2 15%0,4 18% What is the beta coefficient of the investment fund? 1. 0,52 2. 0,80 3. 1,82 4. 4,92Quantitative Problem: You are given the following probability distribution for CHC Enterprises: State of Economy Probability Rate of return Strong 0.25 18 % Normal 0.55 8 % Weak 0.20 -6 % Using excel: What is the stock's expected return? Do not round intermediate calculations. Round your answer to two decimal places. % What is the stock's standard deviation? Do not round intermediate calculations. Round your answer to two decimal places. % What is the stock's coefficient of variation? Do not round intermediate calculations. Round your answer to two decimal places.
- . E(RI) = .15(.11) + .55(.18) + .30(.08) Using CAPM to determine the expected rate of return for risky assets, consider the following example stocks, assuming that you have already compute the betas Stock Beta WND 0.80 STA 1.35 CTE 1.15 DUY 1.20 EVN -0.20 Stock WND the economy’s RFR to be 6 percent (0.06) and the expected return on the market portfolio (E(RM)) to be 8 percent (0.08) Stock STA, the economy’s RFR to be 5percent (0.05) and the expected return on the market portfolio (E(RM)) to be 7 percent(0.07) Assume that all the other stocks is as follows since we expect the economy’s RFR to be 5 percent (0.05) and the expected return on the market portfolio (E(RM)) to be 9 percent (0.09),QUESTION 6 Calculate the expected return for C Inc., which has a beta of 0.8 when the risk-free rate is 0.04 and you expect the market return to be 0.12. a. 8.10 percent b. 9.60 percent c. 10.40 percent d. 11.20 percent e. 12.60 percentHere are data on two companies. The T-bill rate is 4% and the market risk premium is 6%. Company $1 Discount Store Everything $5 Forecast return 12% 11% Standard deviation of returns 8% 10% Beta 1.5 1.0 What would be the fair return for $1 Discount Store according to the capital asset pricing model (CAPM)? Enter your answer as a decimal.
- Calculate the union’s cost of equity from the CAPM using its own beta (0.90) estimate and the industry beta (1.25) estimate. How different are your answers? Assume a risk-free rate of 2% and a market risk premium of 7%. Can you be confident that Union Pacific’s true beta is not the industry average?Quantitative Problem: You are given the following probability distribution for CHC Enterprises: State of Economy Probability Rate of return Strong 0.25 18% Normal 0.45 8% Weak 0.30 -6% What is the stock's expected return? Do not round intermediate calculations. Round your answer to two decimal places. ? % What is the stock's standard deviation? Do not round intermediate calculations. Round your answer to two decimal places. ? % What is the stock's coefficient of variation? Do not round intermediate calculations. Round your answer to two decimal places. ?Here are data on two companies. The T-bill rate is 4% and the market risk premium is 6%. Company $1 Discount Store Everything $5 Forecasted return 12% 11% Standard deviation of returns 8% 10% Beta 1.5 1.0 What would be the fair return for each company according to the capital asset pricing model (CAPM)?
- 11-6 The current risk-free rate of return, rRF, is 4 percent and the market risk pre- mium, RPM, is 5 percent. If the beta coefficient associated with a firm’s stock is 2.0, what should be the stock’s required rate of return? 11-7 If the risk-free rate of return, rRF, is 4 percent and the market return, rM, is expected to be 12 percent, what is the required rate of return for a stock with a beta, , equal to 2.5?Question content area top Part 1 Use the information for the question(s) below. Consider an economy with two types of firms, S and I. S firms always move together, but I firms move independently of each other. For both types of firm there is a 70% probability that the firm will have a 20% return and a 30% probability that the firm will have a -30% return. The standard deviation for the return on a portfolio of 20 type S firms is closest to: Question content area bottom Part 1 A. 23.0%. B. 5.10%. C. 5.25%. D. 15.0%.QH. The data for the two companies X and Y are as follows: X Y Return 20% 23% Risk ( SD) 21% 25% r 0.4 Find the portfolio risk if 50% of funds is allocated for each. Determine the correlation coefficient that would be necessary to reduce the level of portfolio risk by 25%.
