An investor has at most $10,000 to invest in government bonds, mutual funds, and money market funds. The average yields for the government bonds, mutual funds, and money market funds are 8%, 7%, and 13% respectively. The investor's policy requires that the total amount invested in mutual and money market funds not exceed the amount invested in government bonds. How much should be invested in each type of investment in order to maximize the return? What is the maximum return in the first year?

An investor has at most $10,000 to invest in government bonds, mutual funds, and money market funds. The average yields for the government bonds, mutual funds, and money market funds are 8%, 7%, and 13% respectively. The investor's policy requires that the total amount invested in mutual and money market funds not exceed the amount invested in government bonds. How much should be invested in each type of investment in order to maximize the return? What is the maximum return in the first year?

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...

See similar textbooks

Similar questions

The employee credit union at State University is planning the allocation of funds for the coming year. The credit union makes four types of loans to its members. In addition, the credit union invests in risk-free securities to stabilize income. The various revenue-producing investments, together with annual rates of return, are as follows: The credit union will have 2 million available for investment during the coming year. State laws are credit union policies impose the following restrictions on the composition of the loans and investments: Risk-free securities may not exceed 30% of the total funds available for investment. Signature loans may not exceed 10% of the funds invested in all loans (automobile, furniture, other secured, and signature loans). Furniture loans plus other secured loans may not exceed the automobile loans. Other secured loans plus signature loans may not exceed the funds invested in risk-free securities. How should the 2 million be allocated to each of the loan/investment alternatives to maximize total annual return? What is the projected total annual return?
Consider a mutual fund that manages a portfolio of securities worth $120 million.Suppose the fund owes $4 million to its investment advisers and owes another $1million for rent, wages due, and miscellaneous expenses.The fund has 5 million shareholders.What is the Net Asset Value?
Consider a mutual fund that manages a portfolio of securities worth Php240 million. Suppose the fund owes Php8 million to its investment advisers and owes another Php2 million for rent, wages due, and miscellaneous expenses. The fund has 10 million shareholders. What is the net asset value per share?
A bank is attempting to determine where its assets should be invested during the current year. At present, $500,000 is available for investment in bonds, home loans, auto loans, and personal loans. The annual rates of return on each type of investment are known to be the following: bonds, 10%; home loans, 16%; auto loans, 13%; and personal loans, 20%. To ensure that the bank’s portfolio is not too risky, the bank’s investment manager has placed the following three restrictions on the bank’s portfolio:■ The amount invested in personal loans cannot exceed the amount invested in bonds.■ The amount invested in home loans cannot exceedthe amount invested in auto loans.■ No more than 25% of the total amount invested can be in personal loans. Help the bank maximize the annual return on its investment portfolio.
The Jeffersons want to start investing $600 monthly to achieve their stated short- and long-term objectives. Which of the following monthly investments is most appropriate for them at this time and why? Provide two pros for the investment allocation you selected and one con for each of the investment allocations you did not select. $600 in a Roth IRA account for Jaylen, allocated as $300 in large cap domestic growth stocks, and $300 in an international growth fund $600 in a AAA-rated municipal bond fund $600 in a high yield, long-term bond fund $100 in a money market account, and $500 in a Roth IRA global balanced mutual fund
. A bank is attempting to determine where its assets should be invested during the currentyear. At present, $500,000 is available for investment in bonds, home loans, auto loans,and personal loans. The annual rate of return on each type of investment is known to be:bonds, 10%; home loans, 16%; auto loans, 13%; personal loans, 20%. To ensure that thebank’s portfolio is not too risky, the bank’s investment manager has placed the followingthree restrictions on the bank’s portfolio:a. The amount invested in personal loans cannot exceed the amount invested inbonds.b. The amount invested in home loans cannot exceed the amount invested in autoloans.c. No more than 25% of the total amount invested may be in personal loans.The bank’s objective is to maximize the annual return on its investment portfolio.Formulate an LP that will enable the bank to meet this goal.
The mutual funds Division has allocated $5.0M and is currently looking for investment opportunities to invest these funds, The financial analyst suggested that all new investments be made in the oil industry, steel industry or in government bonds. The analyst identified five investment opportunities:two from the oil industry, two from the steel and government bonds. Types of opportunities ReturnsABC oil 0.095XYZ oil 0.085Mona Steel 0.04TNT steel 0.05Government Bonds 0.015 OECS Bank has both a loans division and mutual funds division. It has allocated $40.0M to finance its loan portfolio. Its operations manager is asked to build an LP model to help guide company decisions as to how to disburse the revolving fund across different loan categories. The operations manager garnered the following data on available types of loans based on market research of the industry: Types of Loan Interest Rate Bad Debt RatioPersonal…
The treasurer of a large corporation wants to invest $22 million in excess short-term cash in a particular money market investment. The prospectus quotes the instrument at a true yield of 3.33 percent; that is, the EAR for this investment is 3.33 percent. However, the treasurer wants to know the money market yield on this instrument to make it comparable to the T-bills and CDs she has already bought. If the term of the instrument is 78 days, what are the bond equivalent and discount yields on this investment? (Do not round intermediate calculations. Enter your answers as a percent rounded to 3 decimal places.) Bond equivalent yield % Discount yield %
The mutual funds Division has allocated $5.0M and is currently looking for investment opportunities to invest these funds, The financial analyst suggested that all new investments be made in the oil industry, steel industry or in government bonds. The analyst identified five investment opportunities:two from the oil industry, two from the steel and government bonds. Types of opportunities Returns ABC oil 0.095 XYZ oil 0.085 Mona Steel 0.04 TNT steel 0.05 Government Bonds 0.015 For the mutual Funds Division :a) Generate the objective function b) Generate the budget constraint c) The amount invested in oil should be at least three times the amount invested in the steel industry d) The investment in ABC oil cannot be more than 50 % of total oil industry e) The investment in TNT steel should be at most 40 % of the total investment in Government Bond f) The investment in XYZ oil should be at least 20 % of the total funds available but no more than 40%of total…
A hedge fund with $25 million of assets under management has a standard 2/20 fee structure and earns 14 percent this year. Assume that management fees are paid at the beginning of each year and performance fees are paid at the end of each year. Assume that the fund’s fee structure also contains a high-water mark provision. What is the management fee collected by the fund managers? What is the performance fee collected by the fund managers? What is the investor’s net return?
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.
The New Fund had average daily assets of $3.2 billion in the past year. The fund sold $500 million and purchased $500 million worth of stock during the year. a. What was its turnover ratio? b. If the fund had an expense ratio of 1.1%, what were the total fees paid to the fund's investment managers?