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Kaufman machine is considering a 3-year project to improve production efficiency. The machine will cost $650,000...

Kaufman machine is considering a 3-year project to improve production efficiency. The machine will cost $650,000 and will lower annual pretax costs by $380,000. The machine falls in the MACRS 3-year class and it will have a salvage value at the end of the project of $160,000. The project also requires an initial investment in NWC of $50,000 which will be recovered at the end. Their tax rate is 20 percent and their discount rate is 15 percent.

YEAR. 3- YEAR MACRS%
1 33.33
2 44.45
3 14.81
4 7.41

what is the NPV?

Solutions

Expert Solution

MARC depreciation
Year 1 2 3
Rate 33.33% 44.45% 14.81%
Depreciation 216645 288925 96265
Post tax salvage value
Book value = 48165
Sales price 160000
Gain on sale 111835
Tax on gain 22367
Post tax salvage value 137633
Computation of NPV
year 0 1 2 3
Initial investment          (650,000)
Working capital            (50,000)               50,000
Operating cash flow
Saving in cost            380,000                          380,000             380,000
depreciation       216,645.00                     288,925.00          96,265.00
Profit before tax       163,355.00                       91,075.00        283,735.00
Tax @ 20%         32,671.00                       18,215.00          56,747.00
Net income       130,684.00                       72,860.00        226,988.00
Operating cash flow(income+dep)       347,329.00                     361,785.00        323,253.00
Post tax salvage value 137633
Net cash flow     (700,000.00)       347,329.00                     361,785.00        510,886.00
PVIF @ 15% 1 0.869565217 0.756143667 0.657516232
Present value     (700,000.00)       302,025.22                     273,561.44        335,915.84 211,502.49
NPV =       211,502.49

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