Gaston Company is considering a capital budgeting project that would require a $2,100,000 investment in equipment with a useful life of five years and no salvage value. The company’s tax rate is 30% and its after-tax cost of capital is 12%. It uses the straight-line depreciation method for financial reporting and tax purposes. The project would provide net operating income each year for five years as follows:
Sales | $ | 2,900,000 | ||||
Variable expenses | 1,630,000 | |||||
Contribution margin | 1,270,000 | |||||
Fixed expenses: | ||||||
Advertising, salaries, and other fixed out-of-pocket costs | $ | 510,000 | ||||
Depreciation | 420,000 | |||||
Total fixed expenses | 930,000 | |||||
Net operating income | $ | 340,000 | ||||
Click here to view Exhibit 13B-1 and Exhibit 13B-2, to determine the appropriate discount factor(s) using tables.
Required:
Compute the project’s net present value.
Explanation
The project’s net present value is computed as follows:
Now | Years 1-5 | ||||||
Purchase of equipment | $ | (2,100,000 | ) | ||||
Sales | $ | 2,900,000 | |||||
Variable expenses | (1,630,000 | ) | |||||
Out-of-pocket costs | (510,000 | ) | |||||
Income tax expense ($340,000 × 30%) | (102,000 | ) | |||||
Total cash flows (a) | $ | (2,100,000 | ) | $ | 658,000 | ||
Discount factor (b) | 1.000 | 3.605 | |||||
Present value (a) × (b) | $ | (2,100,000 | ) | $ | 2,372,090 | ||
Net present value | $ | 272,090 |
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