Question

Initial investment $           300,000 Pretax salvage value $             35,000 Cost savings per year $   &n

Initial investment $           300,000
Pretax salvage value $             35,000
Cost savings per year $             85,000
Working capital reduction $             55,000
Tax rate 35%
*Depreciation straight-line
over life 5
What is the IRR of the project?
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Answer #1

Initial Investment = $300,000
Useful Life = 5 years

Annual Depreciation = Initial Investment / Useful Life
Annual Depreciation = $300,000 / 5
Annual Depreciation = $60,000

Initial Investment in NWC = -$55,000

Salvage Value = $35,000

After-tax Salvage Value = $35,000 * (1 - 0.35)
After-tax Salvage Value = $22,750

Annual OCF = Pretax Cost Saving * (1 - tax) + tax * Depreciation
Annual OCF = $85,000 * (1 - 0.35) + 0.35 * $60,000
Annual OCF = $85,000 * 0.65 + 0.35 * $60,000
Annual OCF = $76,250

Let IRR be i%

NPV = -$300,000 + $55,000 + $76,250 * PVA of $1 (i%, 5) + $22,750 * PV of $1 (i%, 5) - $55,000 * PV of $1 (i%, 5)
0 = -$245,000 + $76,250 * PVA of $1 (i%, 5) - $32,250 * PV of $1 (i%, 5)

Using financial calculator, i = 14.00%

IRR of the project is 14.00%

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