Question
Micah Corporation is trying to determine the initial investment required to replace an old machine with a new one. The new machine costs $61000. It
Micah Corporation is trying to determine the initial investment required to replace an old machine with a new one. The new machine costs $61000. It will be depreciated under MACRS, using a 5-year recovery period. The 5-year MACRS depreciation rates are:
Year | 1 | 2 | 3 | 4 | 5 | 6 |
Depreciation | 20% | 32% | 19% | 12% | 12% | 5% |
The old machine was purchased 3 years ago at a cost of $57000 and was being depreciated under MACRS, using a 5-year recovery period. The firm can sell the old machine for $30000. The firm expects that a $19700 increase in current assets and an $2700 increase in current liabilities will accompany the replacement. The firms tax rate is 21%.
The new machine and the old machine are associated with the following EBITDA (earnings before interest, taxes, depreciation and amortization) over the 5-year life of the project:
Year | 1 | 2 | 3 | 4 | 5 |
New machines EBITDA | 104000 | 104000 | 104000 | 104000 | 104000 |
Old machines EBITDA | 87000 | 87000 | 87000 | 87000 | 87000 |
Assume that the firm expects to liquidate the new machine at the end of its 5-year usable life, to net $20000 after paying removal and cleanup costs. Had the new machine not replaced the old machine, the old machine would have been liquidated after 5 years to net $6000. The firm expects to recover its net working capital investment upon termination of the project.
If the corporations capital structure is 50% debt and the rest of capital is equity, and the corporation will continue this capital structure to fund the investment on the new machine. Its cost of debt is 6.33% and cost of equity is 15%. What is the NPV if Micah decides to do the replacement (when calculating WACC, please keep two decimal places for the percentage such as 15.38%)?
Hints
1. You may need the following equations:
FCF=EBIT(1-T)+DP-net CAPX-NWC
WACC=wdrd(1-T)+wsrs
After-tax salvage value=MV-(MV-BV) T
Excel function of NPV
2. It is a replacement decision and you need to consider the effect of the new machine relative to that of the old one.
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