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You are evaluating two different silicon wafer milling machines. The Techron I c

ID: 2772034 • Letter: Y

Question

You are evaluating two different silicon wafer milling machines. The Techron I costs $237,000, has a three-year life, and has pretax operating costs of $62,000 per year. The Techron II costs $415,000, has a five-year life, and has pretax operating costs of $35,000 per year. For both milling machines, use straight-line depreciation to zero over the project’s life and assume a salvage value of $39,000. If your tax rate is 34 percent and your discount rate is 8 percent, compute the EAC for both machines.

Explanation / Answer

Calculation of Equivalent Annual Cost (EAC) for both machines

Techron I

Techron II

Life (Years)

3

5

Cost of Machine (A)

$                               237,000.00

$                               415,000.00

Post Tax operating costs (B)

$                                 40,920.00

$                                 23,100.00

62000*(1-34%)

35000*(1-34%)

Tax Saving on Depreciation   (C)

$                                 22,440.00

$                                 25,568.00

= ((Cost - Salvage Value)/life)*Tax Rate

((237000 - 39000)/3)*34%

((415000 - 39000)/5)*34%

Net Annual Cost (D) = B-C

$                                 18,480.00

$                                 (2,468.00)

PVAF (E)

$                                       2.5771

$                                       3.9927

PVAF (3 Years , 8%)

PVAF (5 Years , 8%)

Present value F = D*E

$47,624.75

($9,854.01)

Total Present value of Costs G = A+F

$                               284,624.75

$                               405,145.99

PVAF (E)

$                                       2.5771

$                                       3.9927

EAC = G/E

$                               110,443.94

$                               101,471.43

Calculation of Equivalent Annual Cost (EAC) for both machines

Techron I

Techron II

Life (Years)

3

5

Cost of Machine (A)

$                               237,000.00

$                               415,000.00

Post Tax operating costs (B)

$                                 40,920.00

$                                 23,100.00

62000*(1-34%)

35000*(1-34%)

Tax Saving on Depreciation   (C)

$                                 22,440.00

$                                 25,568.00

= ((Cost - Salvage Value)/life)*Tax Rate

((237000 - 39000)/3)*34%

((415000 - 39000)/5)*34%

Net Annual Cost (D) = B-C

$                                 18,480.00

$                                 (2,468.00)

PVAF (E)

$                                       2.5771

$                                       3.9927

PVAF (3 Years , 8%)

PVAF (5 Years , 8%)

Present value F = D*E

$47,624.75

($9,854.01)

Total Present value of Costs G = A+F

$                               284,624.75

$                               405,145.99

PVAF (E)

$                                       2.5771

$                                       3.9927

EAC = G/E

$                               110,443.94

$                               101,471.43

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