A pension fund manager decides to invest a total of at most $40 million in U.S. Treasury bonds paying 4% annual interest and in mutual funds paying 6% annual interest. He plans to invest at least $5 million in bonds and at least $25 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 $7000 on fees. How much should be invested in each to maximize annual interest? What is the maximum annual interest? The amount that should be invested in Treasury bonds is $ million. mutual funds is $ million and the amount that should be invested in
A pension fund manager decides to invest a total of at most $40 million in U.S. Treasury bonds paying 4% annual interest and in mutual funds paying 6% annual interest. He plans to invest at least $5 million in bonds and at least $25 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 $7000 on fees. How much should be invested in each to maximize annual interest? What is the maximum annual interest? The amount that should be invested in Treasury bonds is $ million. mutual funds is $ million and the amount that should be invested in
Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
Section: Chapter Questions
Problem 1PS
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![**Investment Strategy Problem**
A pension fund manager decides to invest a total of at most $40 million in U.S. Treasury bonds paying 4% annual interest and in mutual funds paying 6% annual interest. The manager plans to invest at least $5 million in bonds and at least $25 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 $7,000 on fees. How much should be invested in each to maximize annual interest? What is the maximum annual interest?
---
To solve this problem, use the following fields to determine the investment amounts:
- The amount that should be invested in Treasury bonds is \$[ \_\_\_ ] million
- The amount that should be invested in mutual funds is \$[ \_\_\_ ] million
**Explanation:**
Calculate the optimal investment in Treasury bonds and mutual funds while considering the constraints on investment totals and fees. Maximize the annual interest within the specified conditions.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fae259756-8f06-4e5c-ae2d-b16c40451d6f%2Fccca4231-84c5-4a21-880c-bb304442b82b%2Fa1v7ats_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Investment Strategy Problem**
A pension fund manager decides to invest a total of at most $40 million in U.S. Treasury bonds paying 4% annual interest and in mutual funds paying 6% annual interest. The manager plans to invest at least $5 million in bonds and at least $25 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 $7,000 on fees. How much should be invested in each to maximize annual interest? What is the maximum annual interest?
---
To solve this problem, use the following fields to determine the investment amounts:
- The amount that should be invested in Treasury bonds is \$[ \_\_\_ ] million
- The amount that should be invested in mutual funds is \$[ \_\_\_ ] million
**Explanation:**
Calculate the optimal investment in Treasury bonds and mutual funds while considering the constraints on investment totals and fees. Maximize the annual interest within the specified conditions.
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