In: Finance
Paul Restaurant is considering the purchase of a $10,800 soufflé maker. The soufflé maker has an economic life of 8 years and will be fully depreciated by the straight-line method. The machine will produce 1,300 soufflés per year, with each costing $2.50 to make and priced at $4.90. The discount rate is 9 percent and the tax rate is 22 percent. |
What is the NPV of the project? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) |
Should the company make the purchase? |
|
Annual depreciation = | $ 1,350.00 | |||
10800/8 | ||||
Annual operating cashflow | ||||
sales | 1,300*4.9 | $ 6,370.00 | ||
Variable cost | 1,300*2.5 | $ 3,250.00 | ||
Depreciation | $ 1,350.00 | |||
Profit before tax | $ 1,770.00 | |||
Tax @ 22% | $ 389.40 | |||
Net income | $ 1,380.60 | |||
Operating cashflow | $ 2,730.60 | |||
Computation of NPV | ||||
Year | Cash flow | PVIF @ 9% | Present value | |
0 | $(10,800.00) | 1.0000 | $(10,800.00) | |
1 | $ 2,730.60 | 0.9174 | $ 2,505.14 | |
2 | $ 2,730.60 | 0.8417 | $ 2,298.29 | |
3 | $ 2,730.60 | 0.7722 | $ 2,108.52 | |
4 | $ 2,730.60 | 0.7084 | $ 1,934.43 | |
5 | $ 2,730.60 | 0.6499 | $ 1,774.70 | |
6 | $ 2,730.60 | 0.5963 | $ 1,628.17 | |
7 | $ 2,730.60 | 0.5470 | $ 1,493.73 | |
8 | $ 2,730.60 | 0.5019 | $ 1,370.40 | |
NPV | $ 4,313.38 | |||
answer = | $ 4,313.38 |
Since NPV is positive therefore yes purchase should be made.