In: Finance
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: |
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: |
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 |