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 $5,380,000 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 | $ | 4,800,000 | ||
Variable expenses | 2,160,000 | |||
Contribution margin | 2,640,000 | |||
Fixed expenses: | ||||
Advertising,
salaries, and other fixed out-of-pocket costs |
$ | 840,000 | ||
Depreciation | 1,076,000 | |||
Total fixed expenses | 1,916,000 | |||
Net operating income | $ | 724,000 | ||
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 flows = Operating income + Depreciation = $724,000 + $1,076,000 = $1,800,000
Computation of NPV - Pigeon Company | ||||
Particulars | Amount | Period | PV Factor | Present Value |
Cash Outflows: | ||||
Cost of Investment | $5,380,000.00 | 0 | 1 | $5,380,000.00 |
Present Value of Cash Outflows (A) | $5,380,000.00 | |||
Cash Inflows: | ||||
Annual cash inflows | $1,800,000.00 | 1-5 | 3.05763 | $5,503,742.80 |
Present Value of Cash Inflows (B) | $5,503,742.80 | |||
Net Present Value (B-A) | $123,742.80 |
Solution 2:
Period | Cash Flows | IRR |
0 | -$5,380,000.00 | 20% |
1 | $1,800,000.00 | |
2 | $1,800,000.00 | |
3 | $1,800,000.00 | |
4 | $1,800,000.00 | |
5 | $1,800,000.00 |
Solution 3:
Project simple rate of return = Net operating income / Initial investment = $724,000 / $5,380,000 = 13.46%
Solution 4a:
As IRR offered by project is 20% which is higher than required return of the company, therefore company want Casey to pursue this investment opportunity.
Solution 4b:
Casey do not want to pursue this investment opportunity as ROI offered by investment is lesser than 23%, therefore it will decrease overall ROI of the division.