NPV = PV of Cash Inflows - PV of Cash Outflows
Year | CF | PVF @12% | Disc CF |
0 | $ -65,000.00 | 1.0000 | $ -65,000.00 |
1 | $ 13,000.00 | 0.8929 | $ 11,607.14 |
2 | $ 13,000.00 | 0.7972 | $ 10,363.52 |
3 | $ 13,000.00 | 0.7118 | $ 9,253.14 |
4 | $ 13,000.00 | 0.6355 | $ 8,261.74 |
5 | $ 13,000.00 | 0.5674 | $ 7,376.55 |
6 | $ 13,000.00 | 0.5066 | $ 6,586.20 |
7 | $ 13,000.00 | 0.4523 | $ 5,880.54 |
8 | $ 13,000.00 | 0.4039 | $ 5,250.48 |
9 | $ 13,000.00 | 0.3606 | $ 4,687.93 |
10 | $ 13,000.00 | 0.3220 | $ 4,185.65 |
11 | $ 13,000.00 | 0.2875 | $ 3,737.19 |
NPV | $ 12,190.09 |
IRR is the Rate at which PV of cash Inflows are equal to PV of Cash Outflows.
Year | CF | PVF @16% | Disc CF | PVF @17% | Disc CF |
0 | $ -48,457.36 | 1.0000 | $ -48,457.36 | 1.0000 | $ -48,457.36 |
1 | $ 10,000.00 | 0.8621 | $ 8,620.69 | 0.8547 | $ 8,547.01 |
2 | $ 10,000.00 | 0.7432 | $ 7,431.63 | 0.7305 | $ 7,305.14 |
3 | $ 10,000.00 | 0.6407 | $ 6,406.58 | 0.6244 | $ 6,243.71 |
4 | $ 10,000.00 | 0.5523 | $ 5,522.91 | 0.5337 | $ 5,336.50 |
5 | $ 10,000.00 | 0.4761 | $ 4,761.13 | 0.4561 | $ 4,561.11 |
6 | $ 10,000.00 | 0.4104 | $ 4,104.42 | 0.3898 | $ 3,898.39 |
7 | $ 10,000.00 | 0.3538 | $ 3,538.30 | 0.3332 | $ 3,331.95 |
8 | $ 10,000.00 | 0.3050 | $ 3,050.25 | 0.2848 | $ 2,847.82 |
9 | $ 10,000.00 | 0.2630 | $ 2,629.53 | 0.2434 | $ 2,434.04 |
10 | $ 10,000.00 | 0.2267 | $ 2,266.84 | 0.2080 | $ 2,080.37 |
11 | $ 10,000.00 | 0.1954 | $ 1,954.17 | 0.1778 | $ 1,778.10 |
NPV | $ 1,829.08 | $ -93.23 |
IRR = Rate at which Least +ve NPV + [ NPV at that Rate / Change in NPV due to 1% inc in Disc Rate ] * 1%
= 16% + [ 1829.08 / 1922.31 ] * 1%
= 16% + 0.95%
= 16.95%
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