3. Consider the following information, and then calculate the required rate of return for the Scientific Investment Fund. The total investment in the fund is $2 million. The market required rate of return is 15 percent, and the risk-free rate is 7 percent. Stock ABC D Investment Beta $ 200,000 1.50 300,000 -0.50 500,000 1.25 1,000,000 0.75
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- 5. Consider the following information and calculate the required rate of return for the Scientific Investment Fund. The total investment in the fund is $2 million. Investment $ 200,000 300,000 500,000 1,000,000 The market required rate of return is 15% and the risk-free rate is 7%. Stock A B C D Beta 2.00 0.50 1.25 0.75 bad I4. Suppose you are a money manager of a $10 million investment fund. The fund is invested in three assets with the following investments and betas: Investment Beta 1.80 0.75 1.20 The remainder is invested in T-bills (risk free asset) with 3% return. a. If the market expected rate of return is 9% what is the fund's expected rate of return? b. Using Funds A and B, create a portfolio (report the portfolio weights and $ investment out of $10 million) with a 0.92 beta. Stock A B C $3,000,000 2,000,000 4,000,000Consider the following information and then calculate the required rate of return for the Global Investment Fund, which holds 4 stocks. The market's required rate of return is 13.0%, the risk-free rate is 6.00 %, and the Fund's assets are as follows: Stock A B BUD C D 10.58% 11.25% 12.37% 13.18% 13.77% Investment $ 200,000 300,000 500,000 $1,000,000 Beta 2.00 -0.60 1.20 1.00
- Suppose that during the most recent 10 year period, the average annual total rate of return on the aggregate market portfolio, namely the All Ordinaries Accumulation Index, was 12 per cent, its standard deviation was 10 per cent, and the average annual risk free rate of return was 5 per cent. You are evaluating the following funds: Fund Beta A B с Average Annual Rate of Return% 12 6 8 b) c) 0.90 1.05 1.20 Standard Deviation % 5.5 10.0 7.5 a) Calculate the Jensen performance measure for each of the funds. Your method of calculation must be clear. On the basis of the Jensen measure, which fund performed the worst? For Fund A, provide an interpretation of the Jensen performance measure you calculated. Briefly explain.Consider 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?Consider the following information and then calculate the required rate of return for the Universal Investment Fund, which holds 4 stocks. The market's required rate of return is 13.25%, the risk-free rate is 7.00%, and the Fund's assets are as follows: Stock Investment Beta A $200,000 1.5 B $300,000 -0.5 C $500,000 1.25 D $1,000,000 0.75
- If a fund has a return of 12% and a beta of 1.4, and if the risk-free rate is 2%, and market return rate is 8%, calculate Jensen's Alpha O a. 3.6 Ob. 2.4 O c. 1.6 Od. 1.47.16)Consider the investment projects given in Table P7.16. Assume that MARR = 12% in the following questions. (a) Compute i* for each investment. If the problem has more than one i*, identify all of them. (b) Compute IRR(true) for each project. (c) Compute the MIRR at MARR = 12%. (d) Determine the acceptability of each investment. TABLE P7.16 Net Cash Flow Project 1 Project 2 Project 3 -$1,000 -$1,000 -$1,000 1 2,500 1,960 1,400 2 -840 950 -200If a fund has a return of 10% and a beta of 1.5, and if the risk-free rate is 5%, and market return rate is 8%, calculate Jensen's Alpha O a. 0.5 O b. 1.4 O c. 0.65 O d. 0.42
- Consider the following information and then calculate the required rate of return for the Scientific Investment Fund, which holds 4 stocks. The market's required rate of return is 12 %, the risk-free rate is 6 %, and the Fund's assets are as follows: Stock Investment Beta A $ 200,000 1.50 B 300,000 -0.50 C 500,000 1.25 D 1,000,000 1.3Suppose you are the money manager of a $4.88 million investment fund. The fund consists of four stocks with the following investments and betas: Stock Investment A $ 260,000 B 640,000 с 1,180,000 D 2,800,000 0.75 If the market's required rate of return is 10% and the risk-free rate is 3%, what is the fund's required rate of return? Do not round intermediate calculations. Round your answer to two decimal places. % Beta 1.50 (0.50) 1.25You 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?
