a company is considering investing in a project. The project will require a 10% rate return. The project will require $65,000 investment and provides the following returns:
year 1: $20,000
year 2: $20,000
year 3: $20,000 year
4: $25,000
I)Given that the company needs to make at least 10% return on its project what is the projects NPV for the return on its investment?
A) $85,000
B) $20,000
C) Less than $2,000 but more than $1,000
D) less then $1,000
II)Whats the NPV contribution to the overall project of the 4th year ($25,000) return?
A) $19,072.38
B) $15,026.30
C) $25,000
D) $17,075.34
I) Answer:C) Less than $2,000 but more than $1,000
Explanation:
Returns | x |
Present value Factor @ 10 % |
= | Present value | |
Year 1 | $20,000 | x | 0.90909 | = | $18,182 |
Year 2 | $20,000 | x | 0.82645 | = | $16,529 |
Year 3 | $20,000 | x | 0.75131 | = | $15,026 |
Year 4 | $25,000 | x | 0.68301 | = | $17,075 |
Present value of returns | $66,812 | ||||
(Less): cost | ($65,000) | ||||
NPV | $1,812 |
Thus, NPV is Less than $2,000 but more than $1,000
II) Answer: D)$17,075.34
Explanation:
Returns | x |
Present value Factor @ 10 % |
= | Present value | |
Year 4 | $25,000 | x | 0.68301 | = | $17,075 |
Thus, NPV contribution to the overall project of the 4th year ($25,000) return is $17,075.34
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