In: Accounting
Aaron Heath is seeking part-time employment while he attends school. He is considering purchasing technical equipment that will enable him to start a small training services company that will offer tutorial services over the Internet. Aaron expects demand for the service to grow rapidly in the first two years of operation as customers learn about the availability of the Internet assistance. Thereafter, he expects demand to stabilize. The following table presents the expected cash flows:
Year of | ||||||
Operation | Cash Inflow | Cash Outflow | ||||
2019 | $ | 14,000 | $ | 9,800 | ||
2020 | 18,500 | 11,900 | ||||
2021 | 21,500 | 13,100 | ||||
2022 | 21,500 | 13,100 | ||||
In addition to these cash flows, Aaron expects to pay $21,300 for the equipment. He also expects to pay $3,200 for a major overhaul and updating of the equipment at the end of the second year of operation. The equipment is expected to have a $1,300 salvage value and a four year useful life. Aaron desires to earn a rate of return of 9 percent. (PV of $1 and PVA of $1) (Use appropriate factor(s) from the tables provided.)
Required
Calculate the net present value of the investment opportunity. (Negative amount should be indicated by a minus sign. Round intermediate calculations and final answer to 2 decimal places.)
Indicate whether the investment opportunity is expected to earn a return that is above or below the desired rate of return and whether it should be accepted.
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Answer a
Net present Value = -$ 1277.18
( -1233.40 if three decimals are taken for present Value as table provided are not shown i have taken four decimal of present value factor)
Answer b.
Return from the investment is below the cost of capital i.e. 9% as required by Aaron Heath because NPV is negative @ 9% pv factor
Aaron Heath should not accept the investment opportunity.
Detailed working is as follow
Year | 0 | 2,019 | 2020 | 2021 | 2022 |
Initial Investment | $ (21,300) | ||||
Overhauling cost | $ (3,200) | ||||
Salvage Value | $ 1,300 | ||||
Cash Inflows | $ 14,000 | $ 18,500 | $ 21,500 | $ 21,500 | |
Cash Outflows | $ (9,800) | $ (11,900) | $ (13,100) | $ (13,100) | |
Net Cash inflow or Outflow | $ (21,300) | $ 4,200 | $ 3,400 | $ 8,400 | $ 9,700 |
year | Cash Inflow(outflow) | PV factor@ 9% | |
0 | -21300 | 1 | -21300 |
2019 | 4200 | 0.9174 | 3853.08 |
2020 | 3400 | 0.8417 | 2861.78 |
2021 | 8400 | 0.7722 | 6486.48 |
2022 | 9700 | 0.7084 | 6871.48 |
-1227.18 |
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