Price Co. is considering replacing an existing piece of equipment. The project involves the following:
• | The new equipment will have a cost of $1,800,000, and it is eligible for 100% bonus depreciation so it will be fully depreciated at t = 0. |
• | The old machine was purchased before the new tax law, so it is being depreciated on a straight-line basis. It has a book value of $200,000 (at year 0) and four more years of depreciation left ($50,000 per year). |
• | The new equipment will have a salvage value of $0 at the end of the project's life (year 6). The old machine has a current salvage value (at year 0) of $300,000. |
• | Replacing the old machine will require an investment in net operating working capital (NOWC) of $45,000 that will be recovered at the end of the project's life (year 6). |
• | The new machine is more efficient, so the firm’s incremental earnings before interest and taxes (EBIT) will increase by a total of $700,000 in each of the next six years (years 1–6). Hint: This value represents the difference between the revenues and operating costs (including depreciation expense) generated using the new equipment and that earned using the old equipment. |
• | The project's cost of capital is 13%. |
• | The company's annual tax rate is 25%. |
Complete the following table and compute the incremental cash flows associated with the replacement of the old equipment with the new equipment.
Year 0 |
Year 1 |
Year 2 |
Year 3 |
Year 4 |
Year 5 |
Year 6 |
|
---|---|---|---|---|---|---|---|
Initial investment | |||||||
EBIT | |||||||
– Taxes | |||||||
– Δ Depreciation × T | |||||||
+ Salvage value | |||||||
– Tax on salvage | |||||||
– NOWC | |||||||
+ Recapture of NOWC | |||||||
Total free cash flow |
The net present value (NPV) of this replacement project is:
$963,147
$818,675
$1,107,619
$722,360
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