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 21% each of the last three years. Casey is considering a capital budgeting project that would require a $3,700,000 investment in equipment with a useful life of five years and no salvage value. Pigeon Company’s discount rate is 17%. The project would provide net operating income each year for five years as follows:
Sales | $ | 3,600,000 | ||
Variable expenses | 1,680,000 | |||
Contribution margin | 1,920,000 | |||
Fixed expenses: | ||||
Advertising, salaries, and other fixed out-of-pocket costs |
$ | 720,000 | ||
Depreciation | 740,000 | |||
Total fixed expenses | 1,460,000 | |||
Net operating income | $ | 460,000 | ||
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?
1. Computation of NPV. | ||
Cash Inflow per year | $1,200,000 | ($460,000 + $740,000) |
(Net Operating income + Depreciation) | ||
No. of years | 5 | |
PVIF (17%,5) | 3.19935 | |
Present Value of Cash Inflows | $3,839,215 | ($1,200,000 * 3.19935) |
(Cash Inflows * PVIF) | ||
Less: Initial Investment | $3,700,000 | (Given) |
Net Present Value (NPV) | $139,215 |
2. Computation of IRR | ||
IRR in where NPV is $0 | ||
Amount | ||
Cash Outflows in Year 0 | -$3,700,000 | ($460,000 + $740,000) |
Cash Inflow Year 1 | $1,200,000 | |
Cash Inflow Year 2 | $1,200,000 | |
Cash Inflow Year 3 | $1,200,000 | |
Cash Inflow Year 4 | $1,200,000 | |
Cash Inflow Year 4 | $1,200,000 | |
IRR | 19% | =IRR(B16:B21) |
3. Computation of Simple Rate of Return |
Rate of Return = (Net Operating Income / Investment) * 100 |
=($460,000 / $3,700,000) * 100 |
=12.43% |
4. a. Yeas as it has positive NPV and higher IRR than discounting rate, so the company would definitely want Casey to pursue this investment Opportunity. |
4.b. No, Casey won't be interested as it had 19% of IRR which is less than the 21% ROI which she already receives. |