11. Imperial Systems has $1 million available for capital investments during the current year. A list of possible investment projects, together with their net investments and net present values, is provided in the following table: Project Net Investment Net Present Value 1 $200,000 $20,000 2 500,000 41,000 3 275,000 60,000 4 150,000 5,000 5 250,000 20,000 6 100,000 4,000 7 275,000 22,000 8 200,000 –18,000 a. Rank the various investment projects in terms of their profitability indexes (computed to three decimal places). b. In the order of decreasing profitability index values and considering the capital constraints, which projects should be adopted? Are all capital funds expended? c. Is there another combination that produces a higher aggregate net present value than the one developed in part b? d. If less than the entire amount of available funds is invested, what is the opportunity cost of the unused funds?

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
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11. Imperial Systems has $1 million available for capital investments during the current
year. A list of possible investment projects, together with their net investments and
net present values, is provided in the following table:
Project Net Investment Net Present Value
1 $200,000 $20,000
2 500,000 41,000
3 275,000 60,000
4 150,000 5,000
5 250,000 20,000
6 100,000 4,000
7 275,000 22,000
8 200,000 –18,000
a. Rank the various investment projects in terms of their profitability indexes
(computed to three decimal places).
b. In the order of decreasing profitability index values and considering the
capital constraints, which projects should be adopted? Are all capital funds
expended?
c. Is there another combination that produces a higher aggregate net present
value than the one developed in part b?
d. If less than the entire amount of available funds is invested, what is the
opportunity cost of the unused funds?

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