In: Finance
Problem 11-09
Replacement Analysis
The Gilbert Instrument Corporation is considering replacing the wood steamer it currently uses to shape guitar sides. The steamer has 6 years of remaining life. If kept, the steamer will have depreciation expenses of $350 for 6 years. Its current book value is $2,100, and it can be sold on an Internet auction site for $4,500 at this time. Thus, the annual depreciation expense is $2,100/6=$350 per year. If the old steamer is not replaced, it can be sold for $800 at the end of its useful life.
Gilbert is considering purchasing the Side Steamer 3000, a higher-end steamer, which costs $8,100, and has an estimated useful life of 6 years with an estimated salvage value of $900. This steamer falls into the MACRS 5-years class, so the applicable depreciation rates are 20.00%, 32.00%, 19.20%, 11.52%, 11.52%, and 5.76%. The new steamer is faster and allows for an output expansion, so sales would rise by $2,000 per year; the new machine's much greater efficiency would reduce operating expenses by $1,500 per year. To support the greater sales, the new machine would require that inventories increase by $2,900, but accounts payable would simultaneously increase by $700. Gilbert's marginal federal-plus-state tax rate is 40%, and the project cost of capital is 14%. Should it replace the old steamer?
The old steamer (-Select-should/should not) be replaced.
What is the NPV of the project? Do not round intermediate
calculations. Round your answer to the nearest dollar.
$
Annual Cash inflows | |||||||||
Year1 | Year2 | Year3 | Year4 | Year5 | Year 6 | ||||
Increase in sales | 2000 | 2000 | 2000 | 2000 | 2000 | 2000 | |||
Saving I operating expense | 1500 | 1500 | 1500 | 1500 | 1500 | 1500 | |||
Cash inflows | 3500 | 3500 | 3500 | 3500 | 3500 | 3500 | |||
Annual Depreciation on new steamer | 1440 | 2304 | 1383 | 829 | 829 | 415 | |||
Less: Depreciation on old | 350 | 350 | 350 | 350 | 350 | 350 | |||
Incremental depreciation | -1090 | -1954 | -1033 | -479 | -479 | -65 | |||
Net income | 2410 | 1546 | 2467 | 3021 | 3021 | 3435 | |||
Less: Tax rate @40% | 964 | 618 | 987 | 1208 | 1208 | 1374 | |||
Net Income after tax | 1446 | 928 | 1480 | 1813 | 1813 | 2061 | |||
Add: Depreciation | 850 | 850 | 850 | 850 | 850 | 850 | |||
Annual Cash inflows | 2296 | 1778 | 2330 | 2663 | 2663 | 2911 | |||
NPV: | |||||||||
Year0 | Year1 | Year2 | Year3 | Year4 | Year5 | Year 6 | |||
Initial Investment | -8100 | ||||||||
Workking capital requirement | -2200 | ||||||||
Terminal value of Salvae value of old | 1440 | ||||||||
Annual inflows | 2296 | 1778 | 2330 | 2663 | 2663 | 2911 | |||
Incremental Salvage value of new steamer | 100 | ||||||||
(900-800) | |||||||||
Working capital release | 2200 | ||||||||
Net cash flows | -8860 | 2296 | 1778 | 2330 | 2663 | 2663 | 5211 | ||
PVF @ 14% | 1 | 0.877193 | 0.769468 | 0.674972 | 0.59208 | 0.519369 | 0.455587 | ||
Present value | -8860 | 2014.035 | 1368.113 | 1572.684 | 1576.71 | 1383.079 | 2374.061 | ||
NPV | 1429 |