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033 points Keiper, Inc., is considering a new three-year expansion project that requires an initial fixed asset investment of

Property Class Seven-Year Three-Year Five-Year Year 1 20.00% 14.29% 33.33% 44.45 24.49 17.49 32.00 $3 14.81 19.20 7.41 11.52

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Answer #1

Answer:

Initial Investment = $2,700,000
Useful Life = 3 years

Depreciation Year 1 = 33.33% * $2,700,000
Depreciation Year 1 = $899,910

Depreciation Year 2 = 44.45% * $2,700,000
Depreciation Year 2 = $1,200,150

Depreciation Year 3 = 14.81% * $2,700,000
Depreciation Year 3 = $399,870

Book Value at the end of Year 3 = $2,700,000 - $899,910 - $1,200,150 - $399,870
Book Value at the end of Year 3 = $200,070

After-tax Salvage Value = Salvage Value - (Salvage Value - Book Value) * tax rate
After-tax Salvage Value = $210,000 - ($210,000 - $200,070) * 0.35
After-tax Salvage Value = $206,524.50

Initial Investment in NWC = $300,000

Answer to Part 1.

Year 0:

Net Cash Flow = Initial Investment + Initial Investment in NWC
Net Cash Flow = -$2,700,000 - $300,000
Net Cash Flow = -$3,000,000

Year 1:

Operating Cash Flow = (Sales - Costs) * (1 - tax) + tax * Depreciation
Operating Cash Flow = ($2,080,000 - $775,000) * (1 - 0.35) + 0.35 * $899,910
Operating Cash Flow = $1,163,218.50

Net Cash Flows = Operating Cash Flow
Net Cash Flows = $1,163,218.50

Year 2:

Operating Cash Flow = (Sales - Costs) * (1 - tax) + tax * Depreciation
Operating Cash Flow = ($2,080,000 - $775,000) * (1 - 0.35) + 0.35 * $1,200,150
Operating Cash Flow = $1,268,302.50

Net Cash Flows = Operating Cash Flow
Net Cash Flows = $1,268,302.50

Year 3:

Operating Cash Flow = (Sales - Costs) * (1 - tax) + tax * Depreciation
Operating Cash Flow = ($2,080,000 - $775,000) * (1 - 0.35) + 0.35 * $399,870
Operating Cash Flow = $988,204.50

Net Cash Flows = Operating Cash Flow + NWC recovered + After-tax Salvage Value
Net Cash Flows = $988,204.50 + $300,000 + $206,524.50
Net Cash Flows = $1,494,729.00

Answer b.

Required Return = 12%

NPV = -$3,000,000 + $1,163,218.50/1.12 + $1,268,302.50/1.12^2 + $1,494,729.00/1.12^3
NPV = $113,589.50

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