In: Accounting
we are evaluating a project that cost $690,000, has a five-yeqar life, and has no salvage value. assume that depreciation is straight line to zero over the project. sales are projected at $71000 units per year. prices per unit is $75, variable cost per unit $50 and fixed cost are $790000 per year. The tax rate is 35% and are are require a return of 15% on this project. suppose the projections given for price, quantity, variable cost, and fixed costs are all accurate to within = or - 10% what are the worse and best case npv
| 1) | BASE CASE: | |
| Sales units | 71000 | |
| Sales price per unit | $ 75.00 | |
| Variable cost per unit | $ 50.00 | |
| Fixed cost | $ 790,000.00 | |
| Initial project cost | $ 690,000.00 | |
| OCF: | ||
| Sales revenue | $ 5,325,000.00 | |
| Variable cost | $ 3,550,000.00 | |
| Fixed cost | $ 790,000.00 | |
| Depreciation | $ 138,000.00 | |
| EBIT | $ 847,000.00 | |
| Tax at 35% | $ 296,450.00 | |
| NOPAT | $ 550,550.00 | |
| Add: Depreciation | $ 138,000.00 | |
| OCF | $ 688,550.00 | |
| PVIFA(15,5) | 3.35216 | |
| PV of OCF | $ 2,308,126.39 | |
| Initial project cost | $ 690,000.00 | |
| NPV | $ 1,618,126.39 | |
| 2) | BEST CASE: | |
| Sales units (71000*110%) | 78100 | |
| Sales price per unit (75*110%) | $ 82.50 | |
| Variable cost per unit (50*90%) | $ 45.00 | |
| Fixed cost (790000*90%) | $ 711,000.00 | |
| Initial project cost | $ 690,000.00 | |
| OCF: | ||
| Sales revenue | $ 6,443,250.00 | |
| Variable cost | $ 3,514,500.00 | |
| Fixed cost | $ 711,000.00 | |
| Depreciation | $ 138,000.00 | |
| EBIT | $ 2,079,750.00 | |
| Tax at 35% | $ 727,912.50 | |
| NOPAT | $ 1,351,837.50 | |
| Add: Depreciation | $ 138,000.00 | |
| OCF | $ 1,489,837.50 | |
| PVIFA(15,5) | 3.35216 | |
| PV of OCF | $ 4,994,166.37 | |
| Initial project cost | $ 690,000.00 | |
| NPV | $ 4,304,166.37 | |
| 3) | WORST CASE: | |
| Sales units (71000*90%) | 63900 | |
| Sales price per unit (75*90%) | $ 67.50 | |
| Variable cost per unit (50*110%) | $ 55.00 | |
| Fixed cost (790000*110%) | $ 869,000.00 | |
| Initial project cost | $ 690,000.00 | |
| OCF: | ||
| Sales revenue | $ 4,313,250.00 | |
| Variable cost | $ 3,514,500.00 | |
| Fixed cost | $ 869,000.00 | |
| Depreciation | $ 138,000.00 | |
| EBIT | $ (208,250.00) | |
| Tax at 35% | $ (72,887.50) | |
| NOPAT | $ (135,362.50) | |
| Add: Depreciation | $ 138,000.00 | |
| OCF | $ 2,637.50 | |
| PVIFA(15,5) | 3.35216 | |
| PV of OCF | $ 8,841.31 | |
| Initial project cost | $ 690,000.00 | |
| NPV | $ (681,158.69) |