In: Finance
Quad Enterprises is considering a new three-year expansion project that requires an initial fixed asset investment of $2.49 million. The fixed asset will be depreciated straight-line to zero over its three-year tax life, after which time it will be worthless. The project is estimated to generate $2,010,000 in annual sales, with costs of $705,000. The project requires an initial investment in net working capital of $230,000, and the fixed asset will have a market value of $295,000 at the end of the project. If the tax rate is 34 percent, what is the project’s Year 0 net cash flow? Year 1? Year 2? Year 3? (Do not round intermediate calculations. Enter your answers in dollars, not millions of dollars, e.g. 1,234,567. Negative amounts should be indicated by a minus sign.) |
Years | Cash Flow |
Year 0 | $ |
Year 1 | $ |
Year 2 | $ |
Year 3 | $ |
If the required return is 16 percent, what is the project's NPV? (Do not round intermediate calculations and round your final answer to 2 decimal places, e.g., 32.16.) |
NPV | $ |
Solution : NPV of the project is $ 120,262.
Calculation and Explanation:
1) Below is the Table showing project’s cashflows for Year 0 ,net cash flow Year 1,Year 2 &Year 3
Workings | 0 | 1 | 2 | 3 | |
Initial Investment (Fixed Assets + Increase in Working Capital) | 2,490,000 + 230,000 | -2,720,000 | |||
Cash flows | Refer Table Below | 1,143,500 | 1,143,500 | 1,568,200 |
Working Note: Table showing calculation of cash Inflow
Working | Year 1 | Year 2 | Year 3 | |
Annual Sales | Given | 2,010,000 | 2,010,000 | 2,010,000 |
Costs | Given | (705,000) | (705,000) | (705,000) |
Depreciation | =2,490,000 / 3 | (830,000) | (830,000) | (830,000) |
Earning Before Taxes | (Sales-Cost-Depreciation) | 475,000 | 475,000 | 475,000 |
Taxes | Earnings before Taxes * 0.34 | (161,500) | (161,500) | (161,500) |
Earnings After Tax | Earnings before tax - Taxes | 313,500 | 313,500 | 313,500 |
Depreciation Added | Non cash Item | 830,000 | 830,000 | 830,000 |
Salvage Value | Given in year 3 | - | - | 295,000 |
Taxes on Gain on sale of Equipment | [(Book Value-Salvage value) * Tax rate] i.e ( 0 - 295000) * 0.34 | (100,300) | ||
Release of Working Capital | Assumed will be released at the end of project life | 230000 | ||
Cash Flows | 1,143,500 | 1,143,500 | 1,568,200 |
2) Calulation of NPV
Year | Cash Flows | Discounting Rate @ 16 % | Discounted Cashflows |
1 | 1,143,500 | 0.86206896551 | 985,775.86206 |
2 | 1,143,500 | 0.7431629013 | 849,806.777636 |
3 | 1,568,200 | 0.64065767353 | 1,004,679.36362 |
Present Value of Cash Inflow | 2,840,262.00331 |
(-)Present Value of Cash Outflow | (2,720,000) |
Net Present Value | $120,262.00331 |