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REPLACEMENT ANALYSIS The Bigbee Bottling Company is contemplating the replacement of one of its bottling machines...

REPLACEMENT ANALYSIS

The Bigbee Bottling Company is contemplating the replacement of one of its bottling machines with a newer and more efficient one. The old machine has a book value of $600,000 and a remaining useful life of 5 years. The firm does not expect to realize any return from scrapping the old machine in 5 years, but it can sell it now to another firm in the industry for $235,000. The old machine is being depreciated by $120,000 per year, using the straight-line method.

The new machine has a purchase price of $1,125,000, an estimated useful life and MACRS class life of 5 years, and an estimated salvage value of $150,000. The applicable depreciation rates are 20%, 32%, 19%, 12%, 11%, and 6%. It is expected to economize on electric power usage, labor, and repair costs, as well as to reduce the number of defective bottles. In total, an annual savings of $210,000 will be realized if the new machine is installed. The company's marginal tax rate is 35%, and it has a 12% WACC.

  1. What initial cash outlay is required for the new machine? Round your answer to the nearest dollar. Negative amount should be indicated by a minus sign.
    $
  2. Calculate the annual depreciation allowances for both machines and compute the change in the annual depreciation expense if the replacement is made. Round your answers to the nearest dollar.
    Year Depreciation Allowance, New Depreciation Allowance, Old Change in Depreciation
    1 $ $ $
    2
    3
    4
    5
  3. What are the incremental net cash flows in Years 1 through 5? Round your answers to the nearest dollar.
    Year 1 Year 2 Year 3 Year 4 Year 5
    $ $ $ $ $
  4. Should the firm purchase the new machine?
    -Select-YesNo
0 0
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Answer #1

a.

Initial outlay for new machine = Cost of new machine - After tax sale value of old machine

Sale value of old machine 235000
Book value of old machine 600000
loss on sale 365000
tax benefit on loss 127750
Inflow on old asset (235000+127750) 362750
Cost of new machine 1125000
Initial Cash Outlay (1125000-362750) 762250

b.

New Depreciation is calculated at the MACRS rate of 20%, 32%, 19%, 12% and 11% for 5 years and old depreciation is given at 120000 per year for next 5 years.

Year Depreciation Allowance, New Depreciation Allowance, Old Change in Depreciation Tax Benefit on additional depreciation @35%
1 225000 120000 105000 36750
2 360000 120000 240000 84000
3 213750 120000 93750 32812.5
4 135000 120000 15000 5250
5 123750 120000 3750 1312.5

c.

Year 1 2 3 4 5
Annual savings 210000 210000 210000 210000 210000
Tax@35% on Annual savings -73500 -73500 -73500 -73500 -73500
Tax saving due to additional depreciation 36750 84000 32812.5 5250 1312.5
Salvage value of new machine 125000
Less: book value of new machine (remaining 6%) 67500
Taxable salavage value 57500
Tax on salvage value @ 35% -20125
Terminal year cash flow (125000-20125) 104875
Incremental net cash flows 173250 220500 169312.5 141750 242687.5

d.

Calculation of Net Present Value

Year 1 2 3 4 5
Incremental net cash flows      173,250.00 220,500.00 169,312.50 141,750.00 242,687.50
Present value factor @ 12%        0.892857     0.797194     0.711780     0.635518     0.567427
Present Value      154,687.50 175,781.25 120,513.29    90,084.69 137,707.41
Total Present Value      678,774.14
Less: Initial cash outlay     (762,250.00)
Net Present Value        (83,475.86)

Because the net present value is negative firm should not purchase the new machine. No

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