In: Finance
The Bigbee Bottling Company is contemplating the replacement of one of its bottling machines with a newer and more efficient one. The old machine has a book value of $600,000 and a remaining useful life of 5 years. The firm does not expect to realize any return from scrapping the old machine in 5 years, but it can sell it now to another firm in the industry for $280,000. The old machine is being depreciated by $120,000 per year, using the straight-line method.
The new machine has a purchase price of $1,125,000, an estimated useful life and MACRS class life of 5 years, and an estimated salvage value of $160,000. The applicable depreciation rates are 20%, 32%, 19%, 12%, 11%, and 6%. It is expected to economize on electric power usage, labor, and repair costs, as well as to reduce the number of defective bottles. In total, an annual savings of $205,000 will be realized if the new machine is installed. The company's marginal tax rate is 35%, and it has a 12% WACC.
Year | Depreciation Allowance, New | Depreciation Allowance, Old | Change in Depreciation |
1 | $ | $ | $ |
2 | |||
3 | |||
4 | |||
5 |
Year 1 | Year 2 | Year 3 | Year 4 | Year 5 |
$ | $ | $ | $ | $ |
a) | INITIAL INVESTMENT: | ||||||
Purchase price of the new machine | $ 11,25,000 | ||||||
Less: After tax sale value of old machine = 280000+(600000-280000)*35% = | $ 3,92,000 | ||||||
Initial investment | $ 7,33,000 | ||||||
b) | Year | Depreciation Allowance, New | Depreciation Allowance, Old | Change in Depreciation | |||
1 | $ 2,25,000 | $ 1,20,000 | $ 1,05,000 | ||||
2 | $ 3,60,000 | $ 1,20,000 | $ 2,40,000 | ||||
3 | $ 2,13,750 | $ 1,20,000 | $ 93,750 | ||||
4 | $ 1,35,000 | $ 1,20,000 | $ 15,000 | ||||
5 | $ 1,23,750 | $ 1,20,000 | $ 3,750 | ||||
c) | 0 | 1 | 2 | 3 | 4 | 5 | |
Annual savings after tax [205000*(1-35%)] | $ 1,33,250 | $ 1,33,250 | $ 1,33,250 | $ 1,33,250 | $ 1,33,250 | ||
Tax shield from depreciation at 35% | $ 36,750 | $ 84,000 | $ 32,813 | $ 5,250 | $ 1,313 | ||
Incremental OCF | $ 1,70,000 | $ 2,17,250 | $ 1,66,063 | $ 1,38,500 | $ 1,34,563 | ||
Capital expenditure | $ 7,33,000 | ||||||
After tax salvage value = 160000-(160000-1125000*6%)*35% = | $ 1,27,625 | ||||||
Incremental net cash flows | $ -7,33,000 | $ 1,70,000 | $ 2,17,250 | $ 1,66,063 | $ 1,38,500 | $ 2,62,188 |