In: Finance
| Given, | ||||
| Cost of machine | $10,370,000 | |||
| Installation cost | $72,284 | |||
| Life of machine | 5 years | |||
| Incremental revenue | $4,560,000 | |||
| Incremental cost | $1,360,000 | |||
| Tax rate | 37% | |||
| Cost of capital | 13% | |||
| a) | Calculation of Year 0 cashflow | |||
| Cashflow at year0= Cost of machine+Installation cost | ||||
| $(10370000+72284) | ||||
| $10,442,284 | ||||
| b) | Calculation of yearly cashflows | |||
| Depreciation= Total cost of machine including installment/Life of machine | ||||
| 10442284/5 | ||||
| $2,088,456.80 | ||||
| $ | ||||
| Incremental revenue | 4560000 | |||
| Less: Incremental cost | 1360000 | |||
| Less: Depreciation | 2088456.8 | |||
| Profit before tax | 1111543.2 | |||
| Less: Taxes @ 37% | 411270.98 | |||
| Profit after tax | 700272.22 | |||
| Add: depreciation | 2088456.8 | |||
| Annual cashflow | 2788729 | (rounded off to nearest whole number) | ||
| c) | Calculation of NPV | |||
| Year | Cashflow ($) | Discounting factor @ 13% | PV of cashflows ($) | |
| 0 | -10442284 | 1 | -10442284.00 | |
| 1 | 2788729 | 0.884955752 | 2467901.78 | |
| 2 | 2788729 | 0.783146683 | 2183983.88 | |
| 3 | 2788729 | 0.693050162 | 1932729.10 | |
| 4 | 2788729 | 0.613318728 | 1710379.73 | |
| 5 | 2788729 | 0.542759936 | 1513610.38 | |
| NPV | -633679.12 | |||
| We know, | ||||
| NPV= Present value of future cashflows discounted at the required rate of return | ||||
| NPV= ($633679.12) |