Question
I just want to know if the last part is correct or not Requirements 1. Compute the payback, the ARR, the NPV, the IRR, and
I just want to know if the last part is correct or not
Requirements
1. Compute the payback, the ARR, the NPV, the IRR, and the profitability index of this investment.
2. Recommend whether the company should invest in this project.
Requirement 1. Compute the payback, the ARR, the NPV, the IRR, and the profitability index of this investment.
First, determine the formula and calculate payback. (Round your answer to one decimal place, X.X.)
Amount invested | / | Expected annual net cash inflow | = | Payback | |
$1,950,000 | / | $483,000 | = | 4.0 | years |
Next, determine the formula and calculate the accounting rate of return (ARR). (Round the percentage to the nearest tenth percent, X.X%.)
Average annual operating income | / | Average amount invested | = | ARR | |
$239,250 | / | $975,000 | = | 24.5 | % |
Calculate the net present value (NPV). (Enter any factor amounts to three decimal places, X.XXX.)
| Net Cash | Annuity PV Factor | Present | |
Years |
| Inflow | (i=12%, n=8) | Value |
1 - 8 | Present value of annuity | $483,000 | 4.968 | $2,399,544 |
0 | Investment |
|
| (1,950,000) |
| Net present value of the investment |
| $449,544 |
The IRR (internal rate of return) is between
18-20%
.
Finally, determine the formula and calculate the profitability index. (Round your answer to two decimal places, X.XX.)
Present value of net cash inflows | / | Initial investment | = | Profitability index |
$2,399,544 | / | $1,950,000 | = | 1.23 |
Requirement 2. Recommend whether the company should invest in this project.
Recommendation:
Water CountryWater Country
should
invest in the project because the payback period is
greater than
the operating life, the NPV is
negative
, the profitability index is
less than
one, and the ARR and IRR are
greater than
the company's required rate of return.
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