Fairfax Pizza is considering buying a new oven. The new oven would be purchased today for 15,000 dollars. It would be depreciated straight-line to 2,200 dollars over 2 years. In 2 years, the oven would be sold for an after-tax cash flow of 3,500 dollars. Without the new oven, costs are expected to be 11,400 dollars in 1 year and 18,500 in 2 years. With the new oven, costs are expected to be 2,600 dollars in 1 year and 15,300 in 2 years. If the tax rate is 50 percent and the cost of capital is 10.51 percent, what is the net present value of the new oven project?
Annual Operating cashflows | ||||||
YEar1 | YEar2 | |||||
Annual savings in cost | 8800 | 3200 | ||||
Less: Depreciation | 6400 | 6400 | ||||
Before tax Income | 2400 | -3200 | ||||
Tax @ 50% | 1200 | 1600 | ||||
After tax income | 1200 | -1600 | ||||
Add: Depreciation | 6400 | 6400 | ||||
Annual Operating cashflows | 7600 | 4800 | ||||
NPV: | ||||||
YEar0 | YEar1 | YEar2 | ||||
Initial investment | -15000 | |||||
Annual Operating CF | 7600 | 4800 | ||||
After tax salvage | 3500 | |||||
Net Cashflows | -15000 | 7600 | 8300 | |||
PVF at 10.51% | 1 | 0.904895 | 0.818836 | |||
Present Value of CF | -15000 | 6877.206 | 6796.337 | |||
NPV | -1326 | |||||
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