Lang Industrial Systems Company (LISC) is trying to decide between two different conveyor belt systems. System A costs $232,000, has a four-year life, and requires $73,000 in pretax annual operating costs. System B costs $330,000, has a six-year life, and requires $67,000 in pretax annual operating costs. Both systems are to be depreciated straight-line to zero over their lives and will have zero salvage value. Whichever project is chosen, it will not be replaced when it wears out. The tax rate is 34 percent and the discount rate is 8 percent. |
Calculate the NPV for both conveyor belt systems |
NPV | |
System A | $ |
System B | $ |
Which conveyor belt system should the firm choose? | ||||
|
Calculation Of Post Tax Operating Cost | |||||||||
System A | System A | ||||||||
a | Pretax Operating Cost | 73000 | 67000 | ||||||
b | Add: Depreciation | 58000 | 55000 | ||||||
c | Subtotal | 131000 | 122000 | ||||||
d | Less: Saving In Tax | 44540 | 41480 | ||||||
(c*34%) | |||||||||
e | Less: Depreciation | 58000 | 55000 | ||||||
f | Operating Cost | 28460 | 25520 | ||||||
(post tax) | |||||||||
Calculation Of NPV | |||||||||
Year | Particular | Discount Factor | System A | System B | |||||
@8% | Cash Flow | Discounted Cash Flow | Cash Flow | Discounted Cash Flow | |||||
a | b | c | d | e=d*c | f | g=f*c | |||
0 | Initial Cash Flow | 1 | 232000 | 232000 | 330000 | 330000 | |||
1 | Annual Operating Cost | 0.926 | 28460 | 26352 | 25520 | 23630 | |||
2 | Annual Operating Cost | 0.857 | 28460 | 24400 | 25520 | 21879 | |||
3 | Annual Operating Cost | 0.794 | 28460 | 22592 | 25520 | 20259 | |||
4 | Annual Operating Cost | 0.735 | 28460 | 20919 | 25520 | 18758 | |||
5 | Annual Operating Cost | 0.681 | 25520 | 17368 | |||||
6 | Annual Operating Cost | 0.630 | 25520 | 16082 | |||||
NPV | 326263 | 447976 | |||||||
Since NPV of System A is less than system B , the company should choose system A. | |||||||||
Note : Since it is not given in the question , answer is rounded off at nearest dollar without rounding off intermediate calculation. | |||||||||
Due to this there may be minor difference in answer. | |||||||||
Lang Industrial Systems Company (LISC) is trying to decide between two different conveyor belt systems. System...
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