Skyline Corp. will invest $250,000 in a project that will not
begin to produce returns until the end of the 3rd year. From the
end of the 3rd year until the end of the 12th year (10 periods),
the annual cash flow will be $54,000.
Use Appendix B and Appendix D for an approximate answer but
calculate your final answer using the formula and financial
calculator methods.
a. Calculate the net present value if the cost of
capital is 13 percent. (Negative amount should be indicated
by a minus sign. Do not round intermediate calculations and round
your answer to 2 decimal places.)
Net Present Value |
b. Should the project be undertaken?
No
Yes
Ans a) - $ 57,949.30
Ans b) No, since NPV is negative
Year | Project Cash Flows (i) | DF@ 13% | DF@ 13% (ii) | PV of Project ( (i) * (ii) ) |
0 | -250000 | 1 | 1 | (2,50,000.00) |
1 | 0 | 1/((1+13%)^1) | 0.885 | - |
2 | 0 | 1/((1+13%)^2) | 0.783 | - |
3 | 0 | 1/((1+13%)^3) | 0.693 | - |
4 | 54000 | 1/((1+13%)^4) | 0.613 | 33,119.21 |
5 | 54000 | 1/((1+13%)^5) | 0.543 | 29,309.04 |
6 | 54000 | 1/((1+13%)^6) | 0.480 | 25,937.20 |
7 | 54000 | 1/((1+13%)^7) | 0.425 | 22,953.27 |
8 | 54000 | 1/((1+13%)^8) | 0.376 | 20,312.63 |
9 | 54000 | 1/((1+13%)^9) | 0.333 | 17,975.78 |
10 | 54000 | 1/((1+13%)^10) | 0.295 | 15,907.77 |
11 | 54000 | 1/((1+13%)^11) | 0.261 | 14,077.67 |
12 | 54000 | 1/((1+13%)^12) | 0.231 | 12,458.12 |
NPV | (57,949.30) |
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