Question

In: Economics

An auto supplier installed new equipment costing $1,050,000. The equipment generated new income averaging $275,000 per...

  1. An auto supplier installed new equipment costing $1,050,000. The equipment generated new income averaging $275,000 per year, and its operating costs averaged $50,000 per year. The equipment was depreciated using the MACRS method, assuming a 7-year recovery period and no salvage value. However, the equipment was kept in service for a total of 10 years, after which time a scrap dealer bought it for $75,000. The company has a combined effective federal and local tax rate of 26%, and uses an after-tax MARR rate of 8%. Determine the equipment’s after-tax net present worth over its 10-year service life.

[Answer: $302,000]

Solutions

Expert Solution

Using Excel

Tax rate = 26%

MACRS rate for 7 yrs property are 0.1429, 0.2449, 0.1749, 0.1249, 0.0893, 0.0892, 0.0893 & 0.0446

Depreciation = Purchase value * Depreciation rate

Net cash Flow = Annual revenue - annual O&M cost

Net cash flow will include depreciation recapture in EOY10

Taxable income = Net cash flow - Depreciation

Tax = Tax rate * Taxable income

ATCF = Taxable income - Tax + Depreciation

Using Excel

Year Initial cost Revenue O&M cost Depreciation Depreciation recapture TI Tax ATCF
0 -1050000.00 -1050000
1 275000.00 -50000.00 150045.00 74955.00 19488.30 205512
2 275000.00 -50000.00 257145.00 -32145.00 -8357.70 233358
3 275000.00 -50000.00 183645.00 41355.00 10752.30 214248
4 275000.00 -50000.00 131145.00 93855.00 24402.30 200598
5 275000.00 -50000.00 93765.00 131235.00 34121.10 190879
6 275000.00 -50000.00 93660.00 131340.00 34148.40 190852
7 275000.00 -50000.00 93765.00 131235.00 34121.10 190879
8 275000.00 -50000.00 46830.00 178170.00 46324.20 178676
9 275000.00 -50000.00 225000.00 58500.00 166500
10 275000.00 -50000.00 75000.00 300000.00 78000.00 222000
NPW 302084

NPW after tax = 302084 ~ 302000 (Nearest Thousand)

Showing formula in Excel

Year Initial cost Revenue O&M cost Depreciation Depreciation recapture TI Tax ATCF
0 -1050000 =B2
1 275000 -50000 =0.1429*1050000 =C3+D3-E3+F3 =G3*0.26 =C3+D3-H3+F3
2 275000 -50000 =0.2449*1050000 =C4+D4-E4+F4 =G4*0.26 =C4+D4-H4+F4
3 275000 -50000 =0.1749*1050000 =C5+D5-E5+F5 =G5*0.26 =C5+D5-H5+F5
4 275000 -50000 =0.1249*1050000 =C6+D6-E6+F6 =G6*0.26 =C6+D6-H6+F6
5 275000 -50000 =0.0893*1050000 =C7+D7-E7+F7 =G7*0.26 =C7+D7-H7+F7
6 275000 -50000 =0.0892*1050000 =C8+D8-E8+F8 =G8*0.26 =C8+D8-H8+F8
7 275000 -50000 =0.0893*1050000 =C9+D9-E9+F9 =G9*0.26 =C9+D9-H9+F9
8 275000 -50000 =0.0446*1050000 =C10+D10-E10+F10 =G10*0.26 =C10+D10-H10+F10
9 275000 -50000 =C11+D11-E11+F11 =G11*0.26 =C11+D11-H11+F11
10 275000 -50000 75000 =C12+D12-E12+F12 =G12*0.26 =C12+D12-H12+F12
NPW =NPV(8%,I3:I12)+I2

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