On January 1, a company invested in an asset with a useful life of 3 years. The company’s expected rate of return is 10%. The cash flow and present and future value factors for the 3 years are as follows: Cash Inflow Present Future Value Value Year from the Asset of $1 at of $1 at 10% 10% 1 $ 8,000 91 1.10 2 9,000 .83 1.21 3 10,000 .75 1.33 All cash inflows are assumed to occur at year end. If the asset generates a positive net present value of $2,000, what was the amount of the original investment? A. $30,991 B. $20,250 C. $33,991 D. $22,250
On January 1, a company invested in an asset with a useful life of 3 years. The company’s expected rate of return is 10%. The cash flow and present and future value factors for the 3 years are as follows: Cash Inflow Present Future Value Value Year from the Asset of $1 at of $1 at 10% 10% 1 $ 8,000 91 1.10 2 9,000 .83 1.21 3 10,000 .75 1.33 All cash inflows are assumed to occur at year end. If the asset generates a positive net present value of $2,000, what was the amount of the original investment? A. $30,991 B. $20,250 C. $33,991 D. $22,250
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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
Transcribed Image Text:**Investment Analysis: Present and Future Value Calculation**
On January 1, a company invested in an asset with a useful life of 3 years. The company's expected rate of return is 10%. The cash flow and present and future value factors for the 3 years are as follows:
| Year | Cash Inflow from the Asset | Present Value of $1 at 10% | Future Value of $1 at 10% |
|------|----------------------------|----------------------------|--------------------------|
| 1 | $8,000 | 0.91 | 1.10 |
| 2 | $9,000 | 0.83 | 1.21 |
| 3 | $10,000 | 0.75 | 1.33 |
- All cash inflows are assumed to occur at year-end.
- If the asset generates a positive net present value of $2,000, what was the amount of the original investment?
Multiple choice answers:
A. $30,991
B. $20,250
C. $33,991
D. $22,250
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