Project “Lane” costs $52,125, its expected cash inflows are $11,000 per year for the first four years and $9,000 for the next four years. The project’s WACC is 10%. What is the project’s NPV? What is the project IRR?
Answer :-
Year | Cash Flows | PVF@10% | PV |
0 | -52125 | 1 | -52125 |
1 | 11000 | 0.9090909 | 10000 |
2 | 11000 | 0.8264463 | 9090.909 |
3 | 11000 | 0.7513148 | 8264.463 |
4 | 11000 | 0.6830135 | 7513.148 |
5 | 9000 | 0.6209213 | 5588.292 |
6 | 9000 | 0.5644739 | 5080.265 |
7 | 9000 | 0.5131581 | 4618.423 |
8 | 9000 | 0.4665074 | 4198.566 |
NPV | 2229.067 |
Answer (b) IRR = 11.349%
Year | Cash Flows | PVF@10% | PV | PVF@15% | PV |
0 | -52125 | 1 | -52125 | 1 | -52125 |
1 | 11000 | 0.909091 | 10000 | 0.8695652 | 9565.217 |
2 | 11000 | 0.826446 | 9090.909 | 0.7561437 | 8317.58 |
3 | 11000 | 0.751315 | 8264.463 | 0.6575162 | 7232.679 |
4 | 11000 | 0.683013 | 7513.148 | 0.5717532 | 6289.286 |
5 | 9000 | 0.620921 | 5588.292 | 0.4971767 | 4474.591 |
6 | 9000 | 0.564474 | 5080.265 | 0.4323276 | 3890.948 |
7 | 9000 | 0.513158 | 4618.423 | 0.375937 | 3383.433 |
8 | 9000 | 0.466507 | 4198.566 | 0.3269018 | 2942.116 |
NPV | 2229.067 | -6029.15 | |||
IRR | 10 + 2229.067/8258.216 * 5 | 11.349% | |||
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