Dwight Donovan, the president of Baird Enterprises, is considering two investment opportunities. Because of limited resources, he will be able to invest in only one of them. Project A is to purchase a machine that will enable factory automation; the machine is expected to have a useful life of four years and no salvage value. Project B supports a training program that will improve the skills of employees operating the current equipment. Initial cash expenditures for Project A are $114,000 and for Project B are $35,000. The annual expected cash inflows are $35,188 for Project A and $11,041 for Project B. Both investments are expected to provide cash flow benefits for the next four years. Baird Enterprises’ cost of capital is 8 percent. (PV of $1 and PVA of $1) (Use appropriate factor(s) from the tables provided.)
Required
Compute the net present value of each project. Which project should be adopted based on the net present value approach?
Compute the approximate internal rate of return of each project. Which one should be adopted based on the internal rate of return approach?
Solution a:
Computation of NPV | ||||||
Project A | Project B | |||||
Particulars | Period | PV Factor (8%) | Amount | Present Value | Amount | Present Value |
Cash outflows: | ||||||
Initial investment | 0 | 1 | $114,000 | $114,000 | $35,000 | $35,000 |
Present Value of Cash outflows (A) | $114,000 | $35,000 | ||||
Cash Inflows | ||||||
Annual cash inflows | 1-4 | 3.31213 | $35,188 | $116,547 | $11,041 | $36,569 |
Present Value of Cash Inflows (B) | $116,547 | $36,569 | ||||
Net Present Value (NPV) (B-A) | $2,547 | $1,569 |
Project A should be accepted based on NPV approach.
Solution b:
Computation of IRR | ||||
Period | First investment | Second investment | ||
Cash Flows | IRR | Cash Flows | IRR | |
0 | -$114,000.00 | 9.00% | -$35,000.00 | 10.00% |
1 | $35,188.00 | $11,041.00 | ||
2 | $35,188.00 | $11,041.00 | ||
3 | $35,188.00 | $11,041.00 | ||
4 | $35,188.00 | $11,041.00 |
Project B should be adopted based on IRR approach.
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