You are considering an investment in a new factory that will operate for 3 years. The initial investment will be 193567. The nominal revenues at the end of Year 1 will be $250000. Revenues will grow at a real rate of 1%. Inflation will be 2%. The nominal costs at the end of Year 1 will be $30000. Costs will grow at a nominal 4% rate. The investment will depreciated on a straight line basis to zero over 3 years. It will have zero market salvage value at the end of 3 years. The required real rate of return for the investment is 8%. The tax rate is 21%. What is the NPV of the project?
Select one:
a. $283581
b. $352777
c. $224708
d. $298265
e. $282780
the correct answer is option 'E' i.e. $282,780
detail answer is explained below
year |
revenue $ (A) |
costs $ (B) |
depreciation ($193,567-$0)/3yrs $ (C) |
profit before tax $ D=[A-(B+C)] |
tax@21% E=D*21% $ |
net income F=D-E $ |
depreciation $ |
after tax-OCF G=F+C $ |
---|---|---|---|---|---|---|---|---|
1 | 250,000 | 30,000 | 64,522 | 155,478 | 32,650 | 122,828 | 64,522 | 187,350 |
2 |
257,550 (note-1) |
31,200 (note2) |
64,522 | 161,828 | 33,984 | 127,844 | 64,522 | 192,366 |
3 |
265,328 (note-1) |
32,448 (note2) |
64,522 | 168,358 | 35,355 | 133,003 | 64,522 | 197,525 |
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