Litchfield Design is evaluating a 3-year project that would involve buying a new piece of equipment for 200,000 dollars today. The equipment would be depreciated straight-line to 20,000 dollars over 2 years. In 3 years, the equipment would be sold for an after-tax cash flow of 29,000 dollars. In each of the 3 years of the project, relevant revenues are expected to be 164,000 dollars and relevant costs are expected to be 44,000 dollars. The tax rate is 50 percent and the cost of capital for the project is 10.01 percent. What is the NPV of the project?
Annual Operating cashflows | |||||||
YEar1 | YEar2 | YEar3 | |||||
Annual revennues | 164000 | 164000 | 164000 | ||||
Less: Annual expenses | 44000 | 44000 | 44000 | ||||
Less: Depreciation | 90000 | 90000 | 0 | ||||
Before tax Income | 30000 | 30000 | 120000 | ||||
Less: tax @ 50% | 15000 | 15000 | 60000 | ||||
After tax income | 15000 | 15000 | 60000 | ||||
Add: Depreciation | 90000 | 90000 | 0 | ||||
Annual Operating cashflows | 105000 | 105000 | 60000 | ||||
NPV: | |||||||
YEar0 | YEar1 | YEar2 | YEar3 | ||||
Initial investment | -200000 | ||||||
Annual Operating CF | 105000 | 105000 | 60000 | ||||
After tax salvage | 29000 | ||||||
Net Cashflows | -200000 | 105000 | 105000 | 89000 | |||
PVF at 10.01% | 1 | 0.908265 | 0.824946 | 0.749269 | |||
Present Value of CF | -200000 | 95367.85 | 86619.3 | 66684.98 | |||
NPV | 48672 | ||||||
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