Cardinal Company is considering a five-year project that would require a $2,855,000 investment in equipment with a useful life of five years and no salvage value. The company’s discount rate is 14%. The project would provide net operating income in each of five years as follows:
Sales | $ | 2,867,000 | ||
Variable expenses | 1,125,000 | |||
Contribution margin | 1,742,000 | |||
Fixed expenses: | ||||
Advertising, salaries, and other fixed out-of-pocket costs | $ | 706,000 | ||
Depreciation | 571,000 | |||
Total fixed expenses | 1,277,000 | |||
Net operating income | $ | 465,000 | ||
Foundational 12-4
4. What is the project’s net present value?
7. What is the project’s payback period?
Solution 4:
Annual cash inflows = Net operating income + Depreciation = $465,000 + $571,000 = $1,036,000
Computation of NPV - Cardinal company | ||||
Particulars | Period | Amount | PV factor at 14% | Present Value |
Cash outflows: | ||||
Initial investment | 0 | $2,855,000.00 | 1 | $2,855,000 |
Present Value of Cash outflows (A) | $2,855,000 | |||
Cash Inflows | ||||
Annual cash inflows | 1-5 | $1,036,000.00 | 3.43308 | $3,556,672 |
Present Value of Cash Inflows (B) | $3,556,672 | |||
Net Present Value (NPV) (B-A) | $701,672 |
Solution 7:
Payback period = Initial investment / Annual cash inflows
= $2,855,000 / $1,036,000 = 2.76 years
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