Eads Industrial Systems Company is trying to decide between two different conveyor belt systems. System A costs $427,000, has a 6-year life, and requires $112,000 in pretax annual operating costs. System B costs $517,000, has an 8-year life, and requires $79,000 in pretax annual operating costs. Both systems are to be depreciated straight-line to zero over their lives and will have a zero salvage value. The tax rate is 33 percent and the discount rate is 24 percent. Which system should the firm choose and why?
System A | ||||
Initial costs | 427000.00 | |||
Life | 6.00 | |||
Depreciation/yr | 71166.67 | |||
Tax shield | 23485.00 | |||
Pre tax annual cost | 112000.00 | |||
Post tax annual cost | 75040.00 | |||
Total annual cost adjusted for depreciation tax shield | 51555.00 | |||
PV of costs @ 24% | $582,720.40 | |||
Equivalent annual costs | $192,923.67 | |||
System B | ||||
Initial costs | 517000.00 | |||
Life | 8.00 | |||
Depreciation/yr | 64625.00 | |||
Tax shield | 21326.25 | |||
Pre tax annual cost | 79000.00 | |||
Post tax annual cost | 52930.00 | |||
Total annual cost adjusted for depreciation tax shield | 31603.75 | |||
PV of costs @ 24% | $625,123.45 | |||
Equivalent annual costs | $182,719.34 | |||
Since the equivalent annual cost of System B is lesser, we should chose system B |
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