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John Limited is considering replacing an existing factory machine with a newer, more efficient machine. The old machine was purchased three years ago at a

John Limited is considering replacing an existing factory machine with a newer, more efficient machine. The old machine was purchased three years ago at a total cost of $32 000. The old machine is being depreciated on a straight-line basis over eight years. It has a remaining useful life of five years.

The new machine costs $54 000 to purchase, $6 000 to install, has a five-year useful life, and will be depreciated over its lifespan. The replacement would require $6 000 additional working capital for the new machine. The projected profit before depreciation and taxes are provided in the following table:

Year

Existing Machine

Projected profit before depreciation and taxation

New Machine

Projected profit before depreciation and taxation

1

2

3

4

5

$14 000

$14 000

$14 000

$14 000

$14 000

$26 000

$26 000

$26 000

$26 000

$26 000

The existing machine can be sold today for $30 000 and has no salvage value five year from now. After five years, the new machine could be sold for $20 000, all before taxes. The company tax rate is 28%. Ignore capital gains tax.

John Limiteds Weighted Average Cost of Capital (WACC) is 12%.

REQUIRED:

  1. Calculate the Net Present Value (NPV) for the replacement decision.
    • Carrying amount (book value) of the old machine
    • After-tax proceeds from sale of old machine
    • Initial investment
    • Incremental cash flows
    • Terminal cash flows

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