Question: 5a) Alfarsi Industries uses the net present value method to make investment decisions and requires a 15% annual return on all investments. The company is
5a)
| Alfarsi Industries uses the net present value method to make investment decisions and requires a 15% annual return on all investments. The company is considering two different investments. Each require an initial investment of $14,600 and will produce cash flows as follows: |
| End of Year | Investment | |
| A | B | |
| 1 | $9,400 | $0 |
| 2 | 9,400 | 0 |
| 3 | 9,400 | 28,200 |
| The present value factors of $1 each year at 15% are: |
| 1 | 0.8696 |
| 2 | 0.7561 |
| 3 | 0.6575 |
| The present value of an annuity of $1 for 3 years at 15% is 2.2832 |
| The net present value of Investment B is: |
$3,942.
$(18,542).
$13,600.
$6,862.
5b)
| Vextra Corporation is considering the purchase of new equipment costing $41,000. The projected annual cash inflow is $12,200, to be received at the end of each year. The machine has a useful life of 4 years and no salvage value. Vextra requires a 12% return on its investments. The present value of an annuity of $1 for different periods follows: |
| Periods | 12 Percent |
| 1 | 0.8929 |
| 2 | 1.6901 |
| 3 | 2.4018 |
| 4 | 3.0373 |
| What is the net present value of the machine (rounded to the nearest whole dollar)? |
$(37,055).
$(2,900).
$41,000.
$7,055.
$(3,945).
5c)
| A company is considering the purchase of new equipment for $93,000. The projected annual net cash flows are $36,600. The machine has a useful life of 3 years and no salvage value. Management of the company requires a 11% return on investment. The present value of an annuity of 1 for various periods follows: |
| Periods | Present value of an annuity of 1 at 11% |
| 1 | 0.9009 |
| 2 | 1.7125 |
| 3 | 2.4437 |
| What is the net present value of this machine assuming all cash flows occur at year-end? |
$31,000
$4,600
$(3,561)
$35,600
$86,996
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