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 24% each of the last three years. Casey is considering a capital budgeting project that would require a $5,050,000 investment in equipment with a useful life of five years and no salvage value. Pigeon Company’s discount rate is 20%. The project would provide net operating income each year for five years as follows: |
Sales | $ | 4,700,000 | |
Variable expenses | 2,120,000 | ||
Contribution margin | 2,580,000 | ||
Fixed expenses: | |||
Advertising, salaries, and other
fixed out-of-pocket costs |
$830,000 | ||
Depreciation | 1,010,000 | ||
Total fixed expenses | 1,840,000 | ||
Net operating income | $ | 740,000 | |
Click here to view Exhibit 13B-1 and Exhibit 13B-2, to determine the appropriate discount factor(s) using tables. |
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Required: | |
1. | What is the project’s net present value? (Round discount factor(s) to 3 decimal places.) |
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? (Round percentage answer to 1 decimal place. i.e. 0.123 should be considered as 12.3%.) |
4-a. | Would the company want Casey to pursue this investment opportunity? |
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4-b. | Would Casey be inclined to pursue this investment opportunity? |
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Net operating income | 740000 | |||||
Add: Depreciation | 1010000 | |||||
Net cash flows | 1750000 | |||||
1 | ||||||
Now | Year 1 | Year 2 | Year 3 | Year 4 | Year 5 | |
Investment cost | -5050000 | |||||
Net cash flows | 1750000 | 1750000 | 1750000 | 1750000 | 1750000 | |
Total cash flows | -5050000 | 1750000 | 1750000 | 1750000 | 1750000 | 1750000 |
PV factor @ 20% | 1 | 0.833 | 0.694 | 0.579 | 0.482 | 0.402 |
Present value of cash flows | -5050000 | 1457750 | 1214500 | 1013250 | 843500 | 703500 |
Net present value | 182500 | |||||
2 | ||||||
PV factor internal rate of return=5050000/1750000 = 2.886 | ||||||
The PV factor 2.886 for 5 years is closest to 22% | ||||||
Internal rate of return = 22% | ||||||
3 | ||||||
Simple rate of return = Net operating income/Investment cost | ||||||
Simple rate of return = 740000/5050000= 14.7% | ||||||
4a | ||||||
Yes, the company would want Casey to pursue this investment as Net Present value is positive | ||||||
4b | ||||||
No, Casey would not be inclined to pursue this investment as as his ROI will decrease |