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
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**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
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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