In: Finance
Veridian Dynamics is considering the purchase of a new cloning machine, which will cost $390 million plus an additional $10 million to ship and install. The new machine will replace the existing machine, which has zero book value and could be sold today for $40 million. The new machine will have a 4 year useful life and willl be depreciated to zero using the straight line method. The machine will require $10 million worth of spare parts to be purchased initially and held in inventory for the next 4 years to make sure the machine operates smoothly. It is assumed that these spare parts will be sold at the end of 4 years and the entire $10 million will be recaptured.
The new machine will increase sales by $220 million per year, increase cost of goods sold by $110 million per year, and decrease operating expenses by $10 million per year over the next 4 years. Veridian Dynamics expects to sell the new machine for $80 million at the end of 4 years. Veridian Dynamic's income tax rate is 35% and its cost of capital is 14%.
What is the Net Present Value of this project?
| Initial cash flow | ||||||||
| Cost of machine | -390 | |||||||
| Installation and transport cost | -10 | |||||||
| Salvage value of old machine | 40 | |||||||
| Tax on salvage value of old machine | 40*35% | -14 | ||||||
| Spare parts | -10 | |||||||
| -384 | ||||||||
| Year | 0 | 1 | 2 | 3 | 4 | |||
| Initial Investment | -384 | |||||||
| Increase in Sales | 220 | 220 | 220 | 220 | ||||
| Increase in COGS | 110 | 110 | 110 | 110 | ||||
| Decrease in Operating expenses | 10 | 10 | 10 | 10 | ||||
| EBIT | (i) | 120 | 120 | 120 | 120 | |||
| -Taxes | (ii) | 42 | 42 | 42 | 42 | |||
| +New Depreciation | (390+10)/4 =(iii) | 100 | 100 | 100 | 100 | |||
| -Old Depreciation | 0 | 0 | 0 | 0 | ||||
| (i-ii+iii) | 178 | 178 | 178 | 178 | ||||
| + Recapture Of NWC | 10 | |||||||
| Post tax salvage value of new machine | (80*(1-35%)) | 52 | ||||||
| TOTAL FCF | -384 | 178 | 178 | 178 | 240 | |||
| PV factor @ 13% | 1 | 0.884956 | 0.783147 | 0.69305 | 0.613319 | |||
| PV of FCF | -384 | 157.5221 | 139.4001 | 123.3629 | 147.1965 | |||
| NPV = Sum of PV of FCF | 183.4817 | |||||||