
| 1) | The project's initial outlay = PV of the cash inflows discounted at IRR = 48000*(1.13^14-1)/(0.13*1.13^14) = | $ 3,02,519.43 | ||||||
| NPV = -302519.43+48000*(1.11^14-1)/(0.11*1.11^14) = | $ 32,610.10 | |||||||
| 2) | IRR is that discount rate for which NPV = 0. Such a discount rate is to be found out by trial | |||||||
| and error. | ||||||||
| Year | Cash flow | PVIF at 25% | PV at 25% | PVIF at 24% | PV at 24% | PVIF at 23% | PV at 23% | |
| 0 | -9000 | 1 | $ -9,000.00 | 1.00000 | $ -9,000.00 | 1.00000 | $ -9,000.00 | |
| 1 | 1700 | 0.80000 | $ 1,360.00 | 0.80645 | $ 1,370.97 | 0.81301 | $ 1,382.11 | |
| 2 | 4900 | 0.64000 | $ 3,136.00 | 0.65036 | $ 3,186.78 | 0.66098 | $ 3,238.81 | |
| 3 | 8400 | 0.51200 | $ 4,300.80 | 0.52449 | $ 4,405.69 | 0.53738 | $ 4,514.02 | |
| $ -203.20 | $ -36.55 | $ 134.95 | ||||||
| IRR = 23%+1%*134.95/(134.95+36.55) = | 23.79% | |||||||
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