In: Finance
The cooker will increase sales by $9,300 per year and will cut annual operating costs by $13,200. The system will cost $45,900 to purchase and install. This system is expected to have a 5-year life and will be depreciated to zero using straight-line depreciation and have no salvage value. The tax rate is 35 percent and the required return is 10.7 percent. What is the NPV of purchasing the pressure cooker?
| Computation of NPV | ||||||||
| Year | 0 | 1 | 2 | 3 | 4 | 5 | ||
| A | Initial investment | -45900 | ||||||
| i | Sales | 9,300 | 9,300 | 9,300 | 9,300 | 9,300 | ||
| ii | Saving in cost | 13,200 | 13,200 | 13,200 | 13,200 | 13,200 | ||
| iii=i+ii | Total increase in income | 22,500 | 22,500 | 22,500 | 22,500 | 22,500 | ||
| iv | Depreciation | 9180 | 9180 | 9180 | 9180 | 9180 | ||
| v=iii-iv | Profit before tax | 13,320 | 13,320 | 13,320 | 13,320 | 13,320 | ||
| vi | Tax @ 35% | 4662 | 4662 | 4662 | 4662 | 4662 | ||
| vii=v-vi | Net income | 8,658 | 8,658 | 8,658 | 8,658 | 8,658 | ||
| B=vii+iv | Cash flow | 17,838 | 17,838 | 17,838 | 17,838 | 17,838 | ||
| C=A+B | Net cash flow | -45900 | 17838 | 17838 | 17838 | 17838 | 17838 | |
| D | PVIF @ 10.7% | 1.0000 | 0.9033 | 0.8160 | 0.7372 | 0.6659 | 0.6015 | |
| E=C*D | Present value | (45,900.00) | 16,113.82 | 14,556.30 | 13,149.32 | 11,878.34 | 10,730.21 | 20,527.98 |
| NPV = | 20,527.98 | |||||||
| Ans = | 20,527.98 | |||||||