Question
Splash City is considering purchasing a water park in Atlanta, Georgia, for $1,910,000. The new facility will generate annual net cash inflows of $472,000 for
Splash City is considering purchasing a water park in Atlanta, Georgia, for $1,910,000. The new facility will generate annual net cash inflows of $472,000 for eight years. Engineers estimate that the facility will remain useful for eight years and have no residual value. The company uses straight-line depreciation, and its stockholders demand an annual return of 10% on investments of this nature.
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.)
| / |
| = | Payback | |
| / |
| = |
| years |
Next, determine the formula and calculate the accounting rate of return (ARR). (Round the percentage to the nearest tenth percent, X.X%.)
| / |
| = | ARR | |
| / |
| = |
| % |
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=10%, n=8) | Value |
1 - 8 | Present value of annuity |
|
|
|
0 | Investment |
|
|
|
| Net present value of the investment |
|
|
The IRR (internal rate of return) is between
12-14%
14-16%
16-18%
18-20%
.
Finally, determine the formula and calculate the profitability index. (Round your answer to two decimal places, X.XX.)
| / |
| = | Profitability index |
| / |
| = |
|
Requirement 2. Recommend whether the company should invest in this project.
Recommendation:
Splash CitySplash City
should
shoud not
invest in the project because the payback period is
greater than
less than
the operating life, the NPV is
negative
positive
, the profitability index is
greater than
less than
one, and the ARR and IRR are
greater than
less than
the company's required rate of return.
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