Fairfax Pizza is considering buying a new oven. The new oven would be purchased today for 14,200 dollars. It would be depreciated straight-line to 1,000 dollars over 2 years. In 2 years, the oven would be sold for an after-tax cash flow of 2,300 dollars. Without the new oven, costs are expected to be 11,600 dollars in 1 year and 18,000 in 2 years. With the new oven, costs are expected to be 900 dollars in 1 year and 15,400 in 2 years. If the tax rate is 50 percent and the cost of capital is 9.85 percent, what is the net present value of the new oven project?
Computation of NPV | ||||
year | 0 | 1 | 2 | |
Investment | -14,200 | |||
Cost saving | 10700 | 2600 | ||
Depreciation | 6600 | 6600 | ||
Profit before tax | 4100 | -4000 | ||
Tax @ 50% | 2050 | -2000 | ||
Net income | 2050 | -2000 | ||
Operating cash flow | 8650 | 4600 | ||
Post tax salvage value | 2,300 | |||
Net cash flow | -14,200 | 8,650 | 6,900 | |
PVIF @ 9.85% | 1 | 0.910332 | 0.8287048 | |
Present value | (14,200.00) | 7,874.37 | 5,718.06 | (607.56) |
NPV = | (607.56) |
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