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 | ||||||