EnterTech has noticed a significant decrease in the profitability of its line of portable CD players. The production manager believes that the source of the trouble is old, inefficient equipment used to manufacture the product. The issue raised, therefore, is whether EnterTech should (1) buy new equipment at a cost of $120,000 or (2) continue using its present equipment.
It is unlikely that demand for these portable CD players will
extend beyond a five-year time horizon. EnterTech estimates that
both the new equipment and the present equipment will have a
remaining useful life of five years and no salvage value.
The new equipment is expected to produce annual cash savings in
manufacturing costs of $34,000, before taking into consideration
depreciation and taxes. However, management does not believe that
the use of new equipment will have any effect on sales volume.
Thus, its decision rests entirely on the magnitude of the potential
cost savings.
The old equipment has a book value of $100,000. However, it can be
sold for only $20,000 if it is replaced. EnterTech has an average
tax rate of 40 percent and uses straight-line depreciation for tax
purposes. The company requires a minimum return of 12 percent on
all investments in plant assets.
a. Compute the net present value of the new
machine using the tables in Exhibits 26-3 and 26-4. (Round
your "PV factors" to 3 decimal places.)
Cash flow per year from new machine: | ||||||||
$ | ||||||||
Savings in manufacturing cost | 34000 | |||||||
Less: Depreciation | ||||||||
(Cost/Useful life) | (120000/5) | 24000 | ||||||
Income before tax | 10000 | |||||||
Less: Tax at 40% | 4000 | |||||||
Net income | 6000 | |||||||
Add: Depreciation | 24000 | |||||||
Cash flow per year from new machine | 30000 | |||||||
Net present value: | ||||||||
Year | Particulars | Amount | PV at 12% | Present value | ||||
a | b | a*b | ||||||
0 | Acquisition cost | -120000 | 1 | -120000 | ||||
0 | Salvage value of old equipment | 20000 | 1 | 20000 | ||||
1 to 5 | Cash flow per year | 30000 | 3.605 | 108150 | ||||
Total | 8150 | |||||||
Net present value of the new machine=$ 8150 | ||||||||
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