A pension fund manager decides to invest a total of at most $30 million in U.S. Treasury bonds paying 4% annual interest and in mutual funds paying 8% annual interest. The fund manager plans to invest at least $5 million in bonds and at least $10 million in mutual funds. Bonds have an initial fee of $100 per million dollars, while the fee for mutual funds is $200 per million. The fund manager is allowed to spend no more than $5000 on fees. How much should be invested in each to maximize annual interest? What is the maximum annual interest?

A pension fund manager decides to invest a total of at most $30 million in U.S. Treasury bonds paying 4% annual interest and in mutual funds paying 8% annual interest. The fund manager plans to invest at least $5 million in bonds and at least $10 million in mutual funds. Bonds have an initial fee of $100 per million dollars, while the fee for mutual funds is $200 per million. The fund manager is allowed to spend no more than $5000 on fees. How much should be invested in each to maximize annual interest? What is the maximum annual interest?

Essentials of Business Analytics (MindTap Course List)

2nd Edition

ISBN:9781305627734

Author:Jeffrey D. Camm, James J. Cochran, Michael J. Fry, Jeffrey W. Ohlmann, David R. Anderson

Publisher:Jeffrey D. Camm, James J. Cochran, Michael J. Fry, Jeffrey W. Ohlmann, David R. Anderson

Chapter11: Linear Optimization Models

Section: Chapter Questions

Problem 11P: The employee credit union at State University is planning the allocation of funds for the coming...

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Explain different types of money market instruments. In each of the below cases, which money market instruments would you recommend and why?a. A mutual fund manager has INR 450 million of cash, which he needs to park for a period of less than 180 days, where he will move this to equity.b. An oil refining company wishes to borrow INR 1500 million for a period of 90 days to fund its settlement of invoices.
When Su Young-Ji went to withdraw $3,000 from the Nationwide Fidelity Mutual fund, he was informed that the fund would charge 4 percent of the amount withdrawn. What is the dollar amount of the withdrawal charge?
Mutual funds charge their clients an “expense ratio” for managing yourfunds. A 1.5% annual expense ratio is common in the mutual fund industry.Suppose you invest $100,000 into a fund with a 1.5% expense ratio and leave it invested for 40 years. If you have a personal MARR of 6% per year, your future worth (less the expense ratio) will be $100,000 (1 – 0.015)(F/P, 6%, 40) = 1,013,141. If you invest instead in an exchange traded fund (ETF) that has an expense ratio of 0.1% per year, you will end up with F = $100,000 (1 – 0.001)(F/P, 6%, 40) = $1,027,541 which is $14,400 more than the mutual fund. Moral: Be mindful of expenses being levied on your savings vehicles (e.g., an individual retirement account) for retirement savings. How much will you have in 40 years if the expense ratio is 3.5% per year?
Suppose an individual invests $24,000 in a load mutual fund for two years. The load fee entails an up-front commission charge of 2.8 percent of the amount invested and is deducted from the original funds invested. In addition, annual fund operating expenses (or 12b-1 fees) are 0.59 percent. The annual fees are charged on the average net asset value invested in the fund and are recorded at the end of each year. Investments in the fund return 7 percent each year paid on the last day of the year. If the investor reinvests the annual returns paid on the investment, calculate the annual return on the mutual funds over the two-year investment period. (Do not round intermediate calculations. Round your answer to 2 decimal places. (e.g., 32.16)) Annual return %
Subject: accounting
Suppose an individual invests $40,000 in a load mutual fund for two years. The load fee entails an up-front commission charge of 3 percent of the amount invested and is deducted from the original funds invested. In addition, annual fund operating expenses (or 12b-1 fees) are 0.60 percent. The annual fees are charged on the average net asset value invested in the fund and are recorded at the end of each year. Investments in the fund return 5 percent each year paid on the last day of the year. If the investor reinvests the annual returns paid on the investment, calculate the annual return on the mutual fund over the two-year investment period. (Do not round intermediate calculations. Round your answer to 3 decimal places. (e.g., 32.161))) Annual return %
Mutual Fund A charges an annual management fee of 2.38% of money under management. The corresponding management fee for Mutual Fund B is 1.65%.On the same invested amount, what percentage more fees will you pay to Fund A than to Fund B? (Round your answer to 2 decimal places.)Percentage = %