Paul Restaurant is considering the purchase of a $11,100 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 1,600 soufflés per year, with each costing $2.80 to make and priced at $4.75. The discount rate is 12 percent and the tax rate is 25 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? |
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Cal;culation of NPV of Project
Net Present Value = Present Value of Cash Inflow - Present Value of Cash Outflow
Present Value of Cash Outflow = $11,100
Calculation of Present Value of Cash Inflow = Annual Cash Inflow * PVAF @ 12% for 8 years
Below is the table showing calculation of Annual Cash inflow
Annual Revenue [1600 * (4.75 - 2.80)] | 3120 |
Less : Depreciation [ 11,100 / 8 ] | (1387.5) |
Earning Before Taxes | 1732.5 |
Less : Taxes @ 25% on Earning Before taxes | (433.125) |
Earning After Taxes | 1299.375 |
Add : Depreciation | 1387.5 |
Annual Cash Flow | 2686.875 |
Present Value of Cash Inflow = Annual Cash Inflow * PVAF @ 12% for 8 years
= 2686.875 * 4.96763976672
= 13347.4270982 or 13347.43
Net Present Value = 13347.43 - 11,100
= 2,247.43
Yes the company should make purchase since the project has positive NPV.
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