In: Finance
The Everly Equipment Company's flange-lipping machine was purchased 5 years ago for $90,000. It had an expected life of 10 years when it was bought and its remaining depreciation is $9,000 per year for each year of its remaining life. As older flange-lippers are robust and useful machines, this one can be sold for $20,000 at the end of its useful life.
A new high-efficiency digital-controlled flange-lipper can be purchased for $150,000, including installation costs. During its 5-year life, it will reduce cash operating expenses by $45,000 per year, although it will not affect sales. At the end of its useful life, the high-efficiency machine is estimated to be worthless. MACRS depreciation will be used, and the machine will be depreciated over its 3-year class life rather than its 5-year economic life, so the applicable depreciation rates are 33.33%, 44.45%, 14.81%, and 7.41%.
The old machine can be sold today for $50,000. The firm's tax rate is 35%, and the appropriate cost of capital is 15%.
CF1 | $ |
CF2 | $ |
CF3 | $ |
CF4 | $ |
CF5 | $ |
a. Book value of the old machine = $ 45,000
Tax effect of gain on salvage = $ ( 50, 000 - 45,000) x 0.35 = $ 1,750.
After tax salvage value of old machine = $ 50,000 - $ 1,750 = $ 48,250.
Initial cash flow at Year 0 = - $ 150,000 + $ 48,250 = - $ 101,750.
e. Incremental Cash Flows:
Year | Incremental Savings | Depreciation on New Machine | Depreciation on Old Machine | Incremental Depreciation | Incremental Cash Flows After Taxes * |
1 | $ 45,000 | $ 49,995 | $ 9,000 | $ 40,995 | $ 43,598.25 |
2 | 45,000 | 66,675 | 9,000 | 57,675 | 49,436.25 |
3 | 45,000 | 22,215 | 9,000 | 13,215 | 33,875.25 |
4 | 45,000 | 11,115 | 9,000 | 2,115 | 29,990.25 |
5 | 45,000 | - | 9,000 | (9,000) | 26,100 |
$ 150,000 |
* Incremental Cash Flows After Taxes = Incremental Savings x ( 1 - T ) + Incremental Depreciation x T.
g.
Year | Cash Flows | PV factor at 15 % | Present Values |
0 | $ (101,750) | 1.00000 | $ ( 101,750) |
1 | 43,598.25 | 0.86957 | 37,911.73 |
2 | 49,436.25 | 0.75614 | 37,380.73 |
3 | 33,875.25 | 0.65752 | 22,273.65 |
4 | 29,990.25 | 0.57175 | 17,146.93 |
5 | 26,100 | 0.49718 | 12,976.40 |
NPV | $ 25,939.44 |
NPV of the replacement project : $ 25,939.
Yes.