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Warmack Machine Shop is considering a four-year project to improve its productio

ID: 2724363 • Letter: W

Question

Warmack Machine Shop is considering a four-year project to improve its production efficiency. Buying a new machine press for $530,000 is estimated to result in $220,000 in annual pretax cost savings. The press falls in the MACRS five-year class, and it will have a salvage value at the end of the project of $89,000. The press also requires an initial investment in spare parts inventory of $26,000, along with an additional $3,100 in inventory for each succeeding year of the project. The shop’s tax rate is 35 percent and its discount rate is 9 percent. MACRS schedule

Calculate the NPV of this project. (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)

Warmack Machine Shop is considering a four-year project to improve its production efficiency. Buying a new machine press for $530,000 is estimated to result in $220,000 in annual pretax cost savings. The press falls in the MACRS five-year class, and it will have a salvage value at the end of the project of $89,000. The press also requires an initial investment in spare parts inventory of $26,000, along with an additional $3,100 in inventory for each succeeding year of the project. The shop’s tax rate is 35 percent and its discount rate is 9 percent. MACRS schedule

Explanation / Answer

Initial Investment = $530,000 + $26,000 = $556,000
After-tax salvage value = $89,000 – [($89,000 - $30,528) x 35%] = $68,534.80

5 Years Depreciation Schedule

Year

Basis

%

Depreciation Expense

Accumulated Depreciation

Ending Book Value

1

$530,000.00

20.000%

$106,000.00

$106,000.00

$424,000.00

2

$530,000.00

32.000%

$169,600.00

$275,600.00

$254,400.00

3

$530,000.00

19.200%

$101,760.00

$377,360.00

$152,640.00

4

$530,000.00

11.520%

$61,056.00

$438,416.00

$91,584.00

5

$530,000.00

11.520%

$61,056.00

$499,472.00

$30,528.00

6

$530,000.00

5.760%

$30,528.00

$530,000.00

$0.00

Operating Cash Flow:

Year

1

2

3

4

5

Pre-tax Savings

$220,000.00

$220,000.00

$220,000.00

$220,000.00

$220,000.00

Less: Depreciation

$106,000.00

$169,600.00

$101,760.00

$61,056.00

$61,056.00

Net pre-tax savings

$114,000.00

$50,400.00

$118,240.00

$158,944.00

$158,944.00

Less: Tax @ 35%

$39,900.00

$17,640.00

$41,384.00

$55,630.40

$55,630.40

After-tax savings

$74,100.00

$32,760.00

$76,856.00

$103,313.60

$103,313.60

Less: Change in NWC

$3,100.00

$3,100.00

$3,100.00

$3,100.00

$3,100.00

Add: Depreciation

$106,000.00

$169,600.00

$101,760.00

$61,056.00

$61,056.00

Add: Recovery of initial NWC

$0.00

$0.00

$0.00

$0.00

$26,000.00

Add: After-tax salvage value

$0.00

$0.00

$0.00

$0.00

$68,534.80

Operating Cash Flow

$177,000.00

$199,260.00

$175,516.00

$161,269.60

$255,804.40

NPV = -$556,000 + [($177,000)/(1.09)] + [($199,260)/(1.09)2] + [($175,516)/(1.09)3] + [($161,269.60)/(1.09)4] + [($255,804.40)/(1.09)5] = $190,131.79

IRR
0 =
-$556,000 + [($177,000)/(IRR)] + [($199,260)/(IRR)2] + [($175,516)/(IRR)3] + [($161,269.60)/(IRR)4] + [($255,804.40)/(IRR)5] = 20.94%

5 Years Depreciation Schedule

Year

Basis

%

Depreciation Expense

Accumulated Depreciation

Ending Book Value

1

$530,000.00

20.000%

$106,000.00

$106,000.00

$424,000.00

2

$530,000.00

32.000%

$169,600.00

$275,600.00

$254,400.00

3

$530,000.00

19.200%

$101,760.00

$377,360.00

$152,640.00

4

$530,000.00

11.520%

$61,056.00

$438,416.00

$91,584.00

5

$530,000.00

11.520%

$61,056.00

$499,472.00

$30,528.00

6

$530,000.00

5.760%

$30,528.00

$530,000.00

$0.00