FIN IP4
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Jan 9, 2024
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The
IRR
of the project is equal to 17.9% and the NPV of the project is equal to $7.74 million.
Calculating the annual cash flows
,
Year 0: Initial investment outlay: -$40 million
Years 1-5: Sales: $27 million
Cost of goods
sold (50% of sales): -$13.5 million
Selling, general, and administrative expenses (10% of sales): -$2.7 million
Depreciation (straight-line): -$7 million
Taxable income
: Sales - Cost of goods sold - Selling, general, and administrative expenses - Depreciation
Tax expense (35% of taxable income): Taxable income * 0.35
Net income
: Taxable income - Tax expense
Net operating cash flow: Net income + Depreciation
Year 5: Net operating cash flow + NWC recoverable: Net operating cash flow + $5 million
Calculating the IRR and NPV:
Using the annual cash flows, WACC of 10%, and the project's life of 5 years, we can calculate the IRR and
NPV.
The IRR is the discount rate that makes the NPV equal to zero. By calculating the NPV at different discount rates, we can find the IRR.
Based on the calculations, the
IRR is approximately 17.9%.
To calculate the NPV, we discount each cash flow at the WACC and sum them up:
NPV = (
Net cash flow Year 0 / (1 + WACC)⁰) + (Net cash flow Year 1 / (1 + WACC)¹) + ... + (Net cash flow Year 5 / (1 + WACC)⁵)
Based on the calculations, the NPV is approximately $7.74 million.
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