Larger amounts of money invested in things like CDs (certificates of deposit) get a better rate of return. Suppose the rates of return depend on the amount invested as follows: Invested amount Rate of return 0-1,000,000 4% 1,000,000–3,000,000 5% >3,000,000 5.5% Three companies are going to form an investment partnership to pool their money. Suppose Company 1 will invest $1,800,000, company 2, $900,000, and company 3, $300,000. How should the net amount earned on the total investment be split among the three companies? Define an appropriate characteristic function. Find the core.

EBK CONTEMPORARY FINANCIAL MANAGEMENT
14th Edition
ISBN:9781337514835
Author:MOYER
Publisher:MOYER
Chapter3: Evaluation Of Financial Performance
Section: Chapter Questions
Problem 8P
Question
Larger amounts of money invested in things like CDs (certificates of deposit) get a
better rate of return. Suppose the rates of return depend on the amount invested as
follows:
Invested amount
Rate of return
0-1,000,000
4%
1,000,000–3,000,000 5%
>3,000,000
5.5%
Three companies are going to form an investment partnership to pool their money.
Suppose Company 1 will invest $1,800,000, company 2, $900,000, and company 3,
$300,000. How should the net amount earned on the total investment be split among
the three companies? Define an appropriate characteristic function. Find the core.
Transcribed Image Text:Larger amounts of money invested in things like CDs (certificates of deposit) get a better rate of return. Suppose the rates of return depend on the amount invested as follows: Invested amount Rate of return 0-1,000,000 4% 1,000,000–3,000,000 5% >3,000,000 5.5% Three companies are going to form an investment partnership to pool their money. Suppose Company 1 will invest $1,800,000, company 2, $900,000, and company 3, $300,000. How should the net amount earned on the total investment be split among the three companies? Define an appropriate characteristic function. Find the core.
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