Question

In: Finance

Quad Enterprises is considering a new three-year expansion project that requires an initial fixed asset investment...

Quad Enterprises is considering a new three-year expansion project that requires an initial fixed asset investment of $2.27 million. The fixed asset falls into the three-year MACRS class

year-3 year-5 year-7
1 33.33% 20.00% 14.29%
2 44.45 32 24.49
3 14.81 19.2 17.49
4 7.41 11.52 8.93
5 11.52 8.93
6 5.76 8.92
7 8.93
8 4.46

. The project is estimated to generate 1.8 million in annual sales, with costs of $692k. The project requires an initial investment in net working capital of 430,000, and the fixed asset will have a market value of 450,000 at the end of the project.

a. If the tax rate is 23%, what is the project's Year 0 net cash flow? Year 1? Year 2? Year 3?

b. If the required return is 10%, What is the project's NPV?

Solutions

Expert Solution

Note - 1 : cash out flow in year -0
Initial investment = -2270000
Working capital = -430,000
outflow in year 0 = -2700000
Note -2
Depreciation schedule for 3 year based on MACRS depreciation rates-
Year Rate Depreciation Accumulated Depreciation Book Value
0 $0.00 $0.00 $2,270,000.00
1 33.33% $756,591 $756,591 $1,513,409
2 44.45% $1,009,015 $1,765,606 $504,394
3 14.81% $336,187 $2,101,793 $168,207
Note -3
Operating cash flow from year 1 to year 4
year -1 year -2 year -3
Sales 1800000.00 1800000.00 1800000.00
Less Expesnes -692000.00 -692000.00 -692000.00
Less : Depreciation -756591.00 -1765606.00 -2101793.00
Profit before tax 351409.00 -657606.00 -993793.00
Tax @ 23% 80824.07 -151249.38 -228572.39
Profit after tax 270584.93 -506356.62 -765220.61
Add back depreciation 756591.00 1765606.00 2101793.00
Operating cash flow 1027175.93 1259249.38 1336572.39
Note -4
Computation of post tax salvage value of asset
Book value of asset at year 3 = $168,207
sales price / Market value = 450000
gain on asset = $281,793
Tax on gain @23% $64,812.39
Post tax salvage value = $385,187.61
Answer a.
what is the project's Year 0 net cash flow? Year 1? Year 2? Year 3?
Particular Year-0 Year-1 Year-2 Year-3
i Investment -2700000
ii Operating cash flow 1027175.93 1259249.38 1336572.39
iii Post tax salvage value $385,187.61
iv Working capital release 430,000
v=i+ii+iii+iv Net cash flow -2700000 1027175.93 1259249.38 2151760
Answer b.
Computation of NPV
Particular Year-0 Year-1 Year-2 Year-3
i Net cash flow -2700000 1027175.93 1259249.38 2151760
ii PVIF @ 10% 1 0.909090909 0.826446281 0.7513148
iii=i*ii present value -2700000 933796.3 1040701.967 1616649.14 891147.4
NPV = 891147.4029

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