Question
Suppose a company has project X with the following cash flows to evaluate.
Project Y Cash flows
Year K’000
0 (30,000)
1 2000
Calculation of NPV and IRR
Year | Cash Flow | PV Factor @10% | Present Value |
0 | (30,000) | 1 | (30,000) |
1 | 2,000 | 0.909 | 1,818.18 |
2 | 2,000 | 0.826 | 1,652.89 |
3 | 150,000 | 0.751 | 112,697.22 |
4 | 140,000 | 0.683 | 95,621.88 |
NPV | 181,790.17 |
For IRR Calculation
Year | Cash Flow | PV Factor @15% | Present Value |
0 | (30,000) | 1 | (30,000) |
1 | 2,000 | 0.870 | 1,739.13 |
2 | 2,000 | 0.756 | 1,512.29 |
3 | 150,000 | 0.658 | 98,627.43 |
4 | 140,000 | 0.572 | 80,045.45 |
NPV | 151,924.30 |
IRR = 15% + 0.05 / ( 181,790-151,924 ) * 151924 = 40.43%
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