In: Finance
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?
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 |