In: Accounting
Casey Nelson is a divisional manager for Pigeon Company. His annual pay raises are largely determined by his division’s return on investment (ROI), which has been above 23% each of the last three years. Casey is considering a capital budgeting project that would require a $4,100,000 investment in equipment with a useful life of five years and no salvage value. Pigeon Company’s discount rate is 19%. The project would provide net operating income each year for five years as follows:
Sales | $ | 4,000,000 | ||
Variable expenses | 1,840,000 | |||
Contribution margin | 2,160,000 | |||
Fixed expenses: | ||||
Advertising, salaries, and other fixed out-of-pocket costs |
$ | 760,000 | ||
Depreciation | 820,000 | |||
Total fixed expenses | 1,580,000 | |||
Net operating income | $ | 580,000 | ||
Click here to view Exhibit 13B-1 and Exhibit 13B-2, to determine the appropriate discount factor(s) using tables.
Required:
1. What is the project’s net present value?
2. What is the project’s internal rate of return to the nearest whole percent?
3. What is the project’s simple rate of return?
4-a. Would the company want Casey to pursue this investment opportunity?
4-b. Would Casey be inclined to pursue this investment opportunity?
Solution 1: Annual cash inflows = Net operating income + Depreciation = $580,000 + $820,000 = $1,400,000 |
Computation of NPV - Pigeon company | ||||
Particulars | Period | Amount | PV factor at 19% | Present Value |
Cash outflows: | ||||
Initial investment | 0 | $4,100,000.00 | 1 | $4,100,000 |
Present Value of Cash outflows (A) | $4,100,000 | |||
Cash Inflows | ||||
Annual cash inflows | 1-5 | $1,400,000.00 | 3.058 | $4,281,200 |
Present Value of Cash Inflows (B) | $4,281,200 | |||
Net Present Value (NPV) (B-A) | $181,200 |
Solution 2: | ||
Computation of IRR | ||
Period | Cash Flows | IRR |
0 | -$4,100,000.00 | 21% |
1 | $1,400,000.00 | |
2 | $1,400,000.00 | |
3 | $1,400,000.00 | |
4 | $1,400,000.00 | |
5 | $1,400,000.00 |
Solution 3: Simple rate of return = Net operating income / Initial investment = $580,000 / $4,100,000 = 14.15% Solution 4a: As NPV is positive therefore company want casey to pursue this investment opportunity. Solution 4b: No Casey do not want pursue this investment opportunity as it will result in decrease of ROI of the division. |