In: Finance
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Cochrane, Inc., is considering a new three-year expansion project that requires an initial fixed asset investment of $2,610,000. The fixed asset will be depreciated straight-line to zero over its three-year tax life. The project is estimated to generate $2,320,000 in annual sales, with costs of $1,300,000. The project requires an initial investment in net working capital of $167,000, and the fixed asset will have a market value of $192,000 at the end of the project. Assume that the tax rate is 40 percent and the required return on the project is 6 percent. |
| Requirement 1: |
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What are the net cash flows of the project for the following years? (Do not round intermediate calculations. A negative amount should be indicated by a minus sign. Enter your answers in dollars, not millions of dollars (e.g., 1,234,567).) |
| Year | Cash Flow |
| 0 | $ |
| 1 | |
| 2 | |
| 3 | |
| Requirement 2: |
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What is the NPV of the project? |
| Solution - Requirement 1 | ||||||||
| Cashflow for Year | Amount | |||||||
| Y0 | $(2,777,000.00) | |||||||
| Y1 | $ 960,000.00 | |||||||
| Y2 | $ 960,000.00 | |||||||
| Y3 | $ 1,242,200.00 | (Y3 includes the realization of initial investment of working capital) | ||||||
| Solution - Requirement 2 | ||||||||
| Cashflow for Year | PVF@6% | Amount | PV | NPV | ||||
| Y0 | $ (2,777,000.00) | $ (2,777,000.00) | ||||||
| Y1 | 0.943396226 | $ 960,000.00 | $ 905,660.38 | |||||
| Y2 | 0.88999644 | $ 960,000.00 | $ 854,396.58 | |||||
| Y3 | 0.839619283 | $ 1,242,200.00 | $ 1,042,975.07 | $ 26,032.03 | ||||
| Working Notes | ||||||||
| Depritiation Per annum for tax life | ||||||||
| Initial Investment | Fixed Assets | $ (2,610,000.00) | $ (870,000.00) | |||||
| Working Capital | $ (167,000.00) | |||||||
| Year 1 | Year 2 | Year 3 | ||||||
| Annual Sales | $ 2,320,000.00 | $ 2,320,000.00 | $ 2,320,000.00 | |||||
| Less : Annual Cost of Sales | $ (1,300,000.00) | $ (1,300,000.00) | $ (1,300,000.00) | |||||
| Add : Sale of Initial Fixed Assets at Year 3 | $ 192,000.00 | |||||||
| Profit | $ 1,020,000.00 | $ 1,020,000.00 | $ 1,212,000.00 | |||||
| Less : Depritiaion | $ (870,000.00) | $ (870,000.00) | $ (870,000.00) | |||||
| Profit Before Tax | $ 150,000.00 | $ 150,000.00 | $ 342,000.00 | |||||
| Less : Tax @40% | $ (60,000.00) | $ (60,000.00) | $ (136,800.00) | |||||
| Profit After Tax | $ 90,000.00 | $ 90,000.00 | $ 205,200.00 | |||||
| Add : Depritiation | $ 870,000.00 | $ 870,000.00 | $ 870,000.00 | |||||
| Cash Flow for the year | $ 960,000.00 | $ 960,000.00 | $ 1,075,200.00 | |||||