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 | |||||||