Question

In: Accounting

Aaron Heath is seeking part-time employment while he attends school. He is considering purchasing technical equipment...

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

  1. 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.)

  2. 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.

a. Net present value
b. Will the return be above or below the cost of capital?
Should the investment opportunity be accepted?

Solutions

Expert Solution

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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