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 $5,950,000 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 | $ | 5,300,000 | ||
Variable expenses | 2,360,000 | |||
Contribution margin | 2,940,000 | |||
Fixed expenses: | ||||
Advertising, salaries, and
other fixed out-of-pocket costs |
$ | 890,000 | ||
Depreciation | 1,190,000 | |||
Total fixed expenses | 2,080,000 | |||
Net operating income | $ | 860,000 | ||
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?
What is the project’s net present value? (Round your final answer to the nearest whole dollar amount.)
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What is the project’s internal rate of return? (Round your answer to whole decimal place i.e. 0.123 should be considered as 12%.)
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What is the project’s simple rate of return? (Round percentage answer to 1 decimal place.)
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Net operating income | 860000 | |||||
Add: Depreciation | 1190000 | |||||
Net cash flows | 2050000 | |||||
1 | ||||||
Now | Year 1 | Year 2 | Year 3 | Year 4 | Year 5 | |
Investment cost | -5950000 | |||||
Net cash flows | 2050000 | 2050000 | 2050000 | 2050000 | 2050000 | |
Total cash flows | -5950000 | 2050000 | 2050000 | 2050000 | 2050000 | 2050000 |
PV factor @ 20% | 1 | 0.833 | 0.694 | 0.579 | 0.482 | 0.402 |
Present value of cash flows | -5950000 | 1707650 | 1422700 | 1186950 | 988100 | 824100 |
Net present value | 179500 | |||||
2 | ||||||
PV factor internal rate of return=5950000/2050000 = 2.902 | ||||||
The PV factor 2.902 for 5 years is closest to 21% | ||||||
Internal rate of return = 21% | ||||||
3 | ||||||
Simple rate of return = Net operating income/Investment cost | ||||||
Simple rate of return = 860000/5950000= 14.5% | ||||||
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 |