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A firm is concerned about the condition of some of its plant machinery. Bill Jam

ID: 2463040 • Letter: A

Question

A firm is concerned about the condition of some of its plant machinery. Bill James, a newly hired engineer, reviewed the situation and identified five feasible, mutually exclusive alternatives. Alternative A: Spend $44,000 now repairing various items. The $44,000 can be charged as a current operating expense (rather than capitalized) and deducted from other taxable income immediately. These repairs will keep the plant functioning for 7 years with current operating costs. Alternative B: Spend $49,000 to buy general-purpose equipment. Depreciation would be straight line over the equipment's 7-year useful life. The equipment has no salvage value. The new equipment will reduce annual operating costs by $6000. Alternative C: Spend $56,000 to buy new specialized equipment. This equipment would be depreciated by sum-of-years' -digits depreciation over its 7-year useful life. This equipment would reduce annual operating costs by $12,000. It will have no salvage value. Alternative D: This alternative is the same as Alternative B, except it reduces annual operating costs by $7000. Alternative E: This is the "do nothing" alternative, with annual operating costs $8000 above the present level. This profitable firm pays 40% corporate income taxes and uses a 10% after-tax rate of return. Which alternative should the firm adopt?

Explanation / Answer

Alternative (A)

Alternative (B)

Alternative (C)

Alternative (D)

Alternative (E)

Initial Cash Outflow   (A)

$    44,000.00

$    49,000.00

$    56,000.00

$    49,000.00

$                  -  

Dep

$                  -  

$      7,000.00

$      8,000.00

$      7,000.00

$                  -  

PV of Tax Saving on Dep (B)

$                  -  

$    13,631.57

$    15,578.94

$    13,631.57

$                  -  

Reduction in Annual operating cost

$                  -  

$      6,000.00

$    12,000.00

$      7,000.00

$     (8,000.00)

Extra Tax burden due to reduction in op. cost

$    17,600.00

$      2,400.00

$      4,800.00

$      2,800.00

$     (3,200.00)

Net Reduction

$    26,400.00

$      3,600.00

$      7,200.00

$      4,200.00

$     (4,800.00)

PV of Net Reduction

$    26,400.00

$    17,526.31

$    35,052.62

$    20,447.36

$ (23,368.41)

Net Cash Outflow (A) - (B) - ©

$    17,600.00

$    17,842.12

$      5,368.44

$    14,921.07

$    23,368.41

Alternative (A)

Alternative (B)

Alternative (C)

Alternative (D)

Alternative (E)

Initial Cash Outflow   (A)

$    44,000.00

$    49,000.00

$    56,000.00

$    49,000.00

$                  -  

Dep

$                  -  

$      7,000.00

$      8,000.00

$      7,000.00

$                  -  

PV of Tax Saving on Dep (B)

$                  -  

$    13,631.57

$    15,578.94

$    13,631.57

$                  -  

Reduction in Annual operating cost

$                  -  

$      6,000.00

$    12,000.00

$      7,000.00

$     (8,000.00)

Extra Tax burden due to reduction in op. cost

$    17,600.00

$      2,400.00

$      4,800.00

$      2,800.00

$     (3,200.00)

Net Reduction

$    26,400.00

$      3,600.00

$      7,200.00

$      4,200.00

$     (4,800.00)

PV of Net Reduction

$    26,400.00

$    17,526.31

$    35,052.62

$    20,447.36

$ (23,368.41)

Net Cash Outflow (A) - (B) - ©

$    17,600.00

$    17,842.12

$      5,368.44

$    14,921.07

$    23,368.41

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