An investor has $80,000 to invest in a CD and a mutual fund. The CD yields 6% and the mutual fund yields 5%. The mutual fund requires a minimum investment of $9,000, and the investor requires that at least twice as much should be invested in CDs as in the mutual fund. How much should be invested in CDs and how much in the mutual fund to maximize the return? What is the maximum return?
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An investor has $80,000 to invest in a CD and a mutual fund. The CD yields 6% and the mutual fund yields 5%. The mutual fund requires a minimum investment of $9,000, and the investor requires that at least twice as much should be invested in CDs as in the mutual fund. How much should be invested in CDs and how much in the mutual fund to maximize the return? What is the maximum return?
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- An investor has $80,000 to invest in a CD and a mutual fund. The CD yields 8% and the mutual fund yields 7%. The mutual fund requires a minimum investment of $9,000, and the investor requires that at least twice as much should be invested in CDs as in the mutual fund. How much should be invested in CDs and how much in the mutual fund to maximize the return? What is the maximum return? To maximize income, the investor should place $ in CDs and $ in the mutual fund. (Round to the nearest dollar as needed.)An investor has $80,000 to invest in Certificates of Deposit (CD) and a mutual fund. The CD yields 7% and the mutual fund yields 8%. The mutual fund requires a minimum investment of $8,000 and the investor requires at least twice as much should be invested in CDs as in the mutual fund. How much should be invested in each to maximize the return? What is the maximum return? Show your work and explanations setting this problem up. Variables should clearly be defined. Show all your work.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 answer
- Consider a borrow-and-invest strategy in which you use $1 million of your own money and borrow another $1 million (at the t-bill rate) to invest $2 million in a market index fund. If the risk free interest rate is 5.57 percent and the expected rate of return on the market index fund is 12.35 percent, what is the expected return on this borrow-and-invest strategy?Consider a borrow-and-invest strategy in which you use $1 million of your own money and borrow another $1 million (at the t-bill rate) to invest $2 million in a market index fund. If the risk free interest rate is 5.52 percent and the expected rate of return on the market index fund is 12.68 percent, what is the risk premium on this borrow-and-invest strategy?You are considering an investment in a mutual fund with a 5% load and an expense ratio of 0.5%. You can invest instead in a bank CD paying 3% interest. Required: a. If you plan to invest for 4 years, what annual rate of return must the fund portfolio earn for you to be better off in the fund than in the CD? Assume annual compounding of returns. b. What annual rate of return must the fund portfolio earn if you plan to invest for 6 years to be better off in the fund than in the CD? c. Now suppose that instead of a front-end load the fund assesses a 12b-1 fee of 0.75% per year. What annual rate of return must the fund portfolio earn for you to be better off in the fund than in the CD? Note: Do not round intermediate calculations. Round your answers to 2 decimal places. a. Annual rate of return b. Annual rate of return c. Annual rate of return % % %
- Suppose you have recently accepted a new job and are setting up your retirement allocations within the firm's 401k plan. The plan options contain two risky mutual funds, A and B. You may assume that all fees are the same across the two funds. Fund A has an expected return of 6% and the standard deviation of returns is 12%. Fund B has an expected return of 7% and the standard deviation of returns is 15%. The correlation between returns on the two funds is 0. The plan also contains a Treasury fund which provides a risk-free return of 3%. A Suppose you can only invest in one of the two risky mutual funds (A or B), but can combine it with the Treasury fund in any proportions you wish. Which of the two mutual funds would you choose and why B Maintaining the restrictions on your investment choices from the last question, what is the best expected return you could achieve if you set up a portfolio with a standard deviation of returns equal to 10%? (Please express your answer in percentage…1. Suppose there is a mutual fund and each consumer buys | a share in it for her endowment at t = 0. The mutual fund maximises the wealth of its shareholders when choosing IF, the investment in the long term technology. At t =1, the mutual fund pays dividend d to each of its shareholders. At t = 1, the shares can be traded at price p*. a. Set up the mutual fund's optimisation problem and derive and interpret the first order condition. What happens when R increases and why? b. What is the optimal consumption profile cf , c and the optimal investment IF? | c. Calculate (i.e. derive an expression for) d and p. 2. Now suppose there is no financial intermediary to handle liquidity shocks. However, at t = 1 a market for bonds opens up and agents can trade their wealth at t = 1 for | wealth at t 2. Each bond pays 1 at t = 2 and its price is pM. Calculate the consumer's optimal investment decision IM at t = 0 , the price of the bond pM, and the optimal consumption in the two states cM, cM. 3.…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…
- You are considering an investment in a mutual fund with a 5% load and an expense ratio of 0.75%. You can invest instead in a bank CD paying 3% interest. Required: a. If you plan to invest for 3 years, what annual rate of return must the fund portfolio earn for you to be better off in the fund than in the CD? Assume annual compounding of returns. b. What annual rate of return must the fund portfolio earn if you plan to invest for 6 years to be better off in the fund than in the CD? c. Now suppose that instead of a front-end load the fund assesses a 12b-1 fee of 0.50% per year. What annual rate of return must the fund portfolio earn for you to be better off in the fund than in the CD? Note: Do not round intermediate calculations. Round your answers to 2 decimal places.You are considering an investment in a mutual fund with a 4.5% load and an expense ratio of 0.5%. You can invest instead in a bank CD paying 3.5% interest. If you plan to invest for 5 years, what annual rate of return (i.e. gross ret) must the fund portfolio earn for you to be better off in the fund than in the CD? Assume annual compounding.If you have a 5.75% back-load charge and you invest $4,000, how much of this money will be invested in the mutual fund? Amount invested in the mutual fund: