Assume the risk-free rate is 4%. You are a financial advisor, and must choose one of the funds below to recommend to each of your clients. Whichever fund you recommend, your clients will then combine it with risk-free borrowing and lending depending on their desired level of risk. Expected Return Volatility Fund A 7% 3% Fund B 10% 4% Fund C 9% 4% Which fund would you recommend without knowing your client's risk preference?
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Q: A pension fund manager is considering three mutual funds. The first is a stock fund, the second is a…
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- 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?Suppose that a mutual fund agent approaches you and promote a fund which allows you to withdraw money from your Employment Provident Fund (EPF) to invest. From the analysis of the agent, the fund expected to pay up to 11% return, and you know that EPF paid an average 6% return and treasury’s return fixed at 2.75%. Based on the discussion in this chapter and in your opinion, are you going to take the investment? Justify your answerYou are considering investing in one of several mutual funds. All the funds under consideration have various combinations of front-end and back-end loads and/or 12b-1 fees. The longer you plan on remaining in the fund you choose, the more likely you will prefer a fund with a rather than (a)__ everything else equal. a) 12b-1 fee; back-end load b) front-end load; 12b-1 fee c) 12b-1 fee; front-end load d) front-end load; back-end load e) 12b-1 fee; no load charge
- If you wish to purchase a mutual fund with low annual fees you should collect information on the of the various funds. O a) MER O b) P/E c) EPS O d) beta3. Consider an individual who has the possibility of investing an amount t in period 1 in a fund that gives an amount s in period 2. (a) If the interest rate r is positive, what would be the smallest s so that it is optimal for the consumer to accept that investment? (b) If t = 100 and s = 115, what is the highest interest rate at which the individual is willing to invest in that fund?As an individual investor, you have three funds to invest into. The first is an equity fund, the second is a corporate bond fund, and the third is a T-bill money-market fund (your risk-free asset). Fund Expected rate of return Risk (Standard deviation) Equity fund 16% 32% Corporate bond fund 12% 18% T-bill money market fund 2% Correlation between equity fund and bond fund returns is 0.4. Find the Expected return of the minimum variance portfolio formed from Equity and Bond funds
- Solve the problems listed below. Show your solution and box the final answer. (bond or yellow paper) 1. A fund is set up to charge a load. Its net asset value is P16.50 and its offer price is P17.30. A. How much is the commission of the load? B. What percentage of the offer price does the commission represent? C. What percentage of the net asset value does the commission represent? D. Assume the fund increased in value by .30 the first month after you purchased 100 shares. What is the total gain or loss? Compare the total current value with the total purchase amount. E. By what percentage would the net asset value of the shares have to increase for you to break even? 2. Under peso-cost averaging, an investor will purchase P6,000 worth of stock each year for three years. The stock price is P40 in year 1, P30 in year 2 and P48 in year 3. A. What is the share purchased in every year? B. Compute the average price per share. C. Compute the average cost per share. 3. Under peso-cost…A pension fund manager is considering three mutual funds. The first in a stock fund The second is a long-term bond fund The third is a money market fund that provides a safe return of 5% The characterisitics of the risky funds are as follows: Use this data for problems #5 - #9 5.00% Stock Fund Bond Fund Correlation (rho) A 9224 6223 money market return 9123 Expected Return 28.00% What is the reward-to volatility ratio of the Optimal Capital Asset Line? This is the Sharpe Ratio. 20.00% -0.2000 Stdev 39.00% 26.00% IĐ The risk free rate is 3%. Calculate and rank the following funds using Jensen's Alpha, Treynor measure, Sharpe ratio and M Fund 4 5.82% Market Index 7.60% Fund 1 Fund 2 Fund 3 Return 6.45% 8.96% 9.44% 0.88 1.02 1.38 0.80 1% Beta Std. dev. 2.74% 4.54% 3.72% 2.64% 2.80%
- You have been given the following return information for a mutual fund, the market index, and the risk-free rate. You also know that the return correlation between the fund and the market is 0.97. Year 2018 2019 2020 2021 2022 Fund -15.2% 25.1 12.4 6.2 -1.2 Sortino Ratio Market -24.5% 19.5 9.4 7.6 -2.2 Risk-Free 1% 3 2 Fund 4 2 What is the Sortino ratio for the fund and the market? Note: A negative value should be indicated by a minus sign. Do not round intermediate calculations. Enter your answers rounded to 4 decimal places. h MarketConsider the following information about a risky portfolio that you manage and a risk-free asset: E(rp) = 9%, Op = 24%, rf = 2%. Required: a. Your client wants to invest a proportion of her total investment budget in your risky fund to provide an expected rate of return on her overall or complete portfolio equal to 8%. What proportion should she invest in the risky portfolio, P, and what proportion in the risk-free asset? b. What will be the standard deviation of the rate of return on her portfolio? c. Another client wants the highest return possible subject to the constraint that you limit his standard deviation to be no more than 12%. Which client is more risk averse?An insurance fund is analysing the performance of three different fund managers A, B and C. Each manager invests in one third of all asset classes to maintain a well diversified portfolio. The following information is available: A B C Market portfolio Average net return (%) 5 8 9 9 Volatility (%) 18 24 21 20 Beta 0.8 1.1 1.3 A risk free rate is established to be 2%. Calculate for each of the fund managers the expected return using CAPM, ex post Sharpe Ratio, Treynor Ratio, M2 alpha and Jensen’s alpha. Interpret your results.