In: Finance
Dwight Donovan, the president of Vernon 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 five 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 $110,000 and for
Project B are $44,000. The annual expected cash inflows are $30,515
for Project A and $12,816 for Project B. Both investments are
expected to provide cash flow benefits for the next five years.
Vernon Enterprises’ desired rate of return is 4 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?
Compute the net present value of each project. Which project should be adopted based on the net present value approach? (Round your final answers to 2 decimal places.)
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Compute the approximate internal rate of return of each project. Which one should be adopted based on the internal rate of return approach?
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Project A | |||
Year | CF | PVF@4% | Disc CF |
0 | $ -1,10,000 | 1 | $ -1,10,000.00 |
1 | $ 30,515 | 0.9615 | $ 29,341.35 |
2 | $ 30,515 | 0.9246 | $ 28,212.83 |
3 | $ 30,515 | 0.8890 | $ 27,127.72 |
4 | $ 30,515 | 0.8548 | $ 26,084.35 |
5 | $ 30,515 | 0.8219 | $ 25,081.11 |
NPV pf Project A | $ 25,847.36 | ||
Project B | |||
Year | CF | PVF@4% | Disc CF |
0 | $ -44,000 | 1 | $ -44,000.00 |
1 | $ 12,816 | 0.9615 | $ 12,323.08 |
2 | $ 12,816 | 0.9246 | $ 11,849.11 |
3 | $ 12,816 | 0.8890 | $ 11,393.38 |
4 | $ 12,816 | 0.8548 | $ 10,955.17 |
5 | $ 12,816 | 0.8219 | $ 10,533.82 |
NPV pf Project B | $ 13,054.55 |
Based on NPV, Project A has to be selected as it has higher NPV
IRR of Project A
IRR :
IRR is the Rate at which PV of Cash Inflows are equal to PV of Cash
Outflows.
Based on Trail and error method IRR of the project A is 12% , Calculation given below
Year | Cash Flow | PVF/[email protected] | PV of Cash Flows |
1-5 | $ 30,515.00 | 3.6048 | $ 1,10,000 |
PV of Cash Inflows | $ 1,10,000 | ||
PV of Cash Oiutflows | $ 1,10,000.00 | ||
NPV | $ 0 |
IRR of Project B
Year | Cash Flow | PVF/[email protected] | PV of Cash Flows |
1-5 | $ 12,816.00 | 3.4331 | $ 43,998 |
PV of Cash Inflows | $ 43,998 | ||
PV of Cash Oiutflows | $ 44,000.00 | ||
NPV | $ -2 |
Project With Higher IRR has to be slected, So based on IRR project B has to be selected
Pls do rate, if the answer is correct and comment, if any further assistance is required.