Question
Splash Planet is considering purchasing a water park in Atlanta, Georgia, for $1,920,000. The new facility will generate annual net cash inflows of $481,000 for
Splash Planet
is considering purchasing a water park in Atlanta, Georgia, for
$1,920,000.
The new facility will generate annual net cash inflows of $481,000 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 12% on investments of this nature.
Future Value of Ordinary Annuity of $1 | |||||||||||||
Periods | 1% | 2% | 3% | 4% | 5% | 6% | 7% | 8% | 9% | 10% | 12% | 14% | 15% |
1 | 1.000 | 1.000 | 1.000 | 1.000 | 1.000 | 1.000 | 1.000 | 1.000 | 1.000 | 1.000 | 1.000 | 1.000 | 1.000 |
2 | 2.010 | 2.020 | 2.030 | 2.040 | 2.050 | 2.060 | 2.070 | 2.080 | 2.090 | 2.100 | 2.120 | 2.140 | 2.150 |
3 | 3.030 | 3.060 | 3.091 | 3.122 | 3.153 | 3.184 | 3.215 | 3.246 | 3.278 | 3.310 | 3.374 | 3.440 | 3.473 |
4 | 4.060 | 4.122 | 4.184 | 4.246 | 4.310 | 4.375 | 4.440 | 4.506 | 4.573 | 4.641 | 4.779 | 4.921 | 4.993 |
5 | 5.101 | 5.204 | 5.309 | 5.416 | 5.526 | 5.637 | 5.751 | 5.867 | 5.985 | 6.105 | 6.353 | 6.610 | 6.742 |
6 | 6.152 | 6.308 | 6.468 | 6.633 | 6.802 | 6.975 | 7.153 | 7.336 | 7.523 | 7.716 | 8.115 | 8.536 | 8.754 |
7 | 7.214 | 7.434 | 7.662 | 7.898 | 8.142 | 8.394 | 8.654 | 8.923 | 9.200 | 9.487 | 10.09 | 10.73 | 11.07 |
8 | 8.286 | 8.583 | 8.892 | 9.214 | 9.549 | 9.897 | 10.260 | 10.64 | 11.03 | 11.44 | 12.30 | 13.23 | 13.73 |
9 | 9.369 | 9.755 | 10.16 | 10.58 | 11.03 | 11.49 | 11.98 | 12.49 | 13.02 | 13.58 | 14.78 | 16.09 | 16.79 |
10 | 10.46 | 10.95 | 11.46 | 12.01 | 12.58 | 13.18 | 13.82 | 14.49 | 15.19 | 15.94 | 17.55 | 19.34 | 20.30 |
11 | 11.57 | 12.17 | 12.81 | 13.49 | 14.21 | 14.97 | 15.78 | 16.65 | 17.56 | 18.53 | 20.65 | 23.04 | 24.35 |
12 | 12.68 | 13.41 | 14.19 | 15.03 | 15.92 | 16.87 | 17.89 | 18.98 | 20.14 | 21.38 | 24.13 | 27.27 | 29.00 |
13 | 13.81 | 14.68 | 15.62 | 16.63 | 17.71 | 18.88 | 20.14 | 21.50 | 22.95 | 24.52 | 28.03 | 32.09 | 34.35 |
14 | 14.95 | 15.97 | 17.09 | 18.29 | 19.60 | 21.02 | 22.55 | 24.21 | 26.02 | 27.98 | 32.39 | 37.58 | 40.50 |
15 | 16.10 | 17.29 | 18.60 | 20.02 | 21.58 | 23.28 | 25.13 | 27.15 | 29.36 | 31.77 | 37.28 | 43.84 | 47.58 |
16 | 17.26 | 18.64 | 20.16 | 21.82 | 23.66 | 25.67 | 27.89 | 30.32 | 33.00 | 35.95 | 42.75 | 50.98 | 55.72 |
17 | 18.43 | 20.01 | 21.76 | 23.70 | 25.84 | 28.21 | 30.84 | 33.75 | 36.97 | 40.54 | 48.88 | 59.12 | 65.08 |
18 | 19.61 | 21.41 | 23.41 | 25.65 | 28.13 | 30.91 | 34.00 | 37.45 | 41.30 | 45.60 | 55.75 | 68.39 | 75.84 |
19 | 20.81 | 22.84 | 25.12 | 27.67 | 30.54 | 33.76 | 37.38 | 41.45 | 46.02 | 51.16 | 63.44 | 78.97 | 88.21 |
20 | 22.02 | 24.30 | 26.87 | 29.78 | 33.07 | 36.79 | 41.00 | 45.76 | 51.16 | 57.28 | 72.05 | 91.02 | 102.4 |
21 | 23.24 | 25.78 | 28.68 | 31.97 | 35.72 | 39.99 | 44.87 | 50.42 | 56.76 | 64.00 | 81.70 | 104.8 | 118.8 |
22 | 24.47 | 27.30 | 30.54 | 34.25 | 38.51 | 43.39 | 49.01 | 55.46 | 62.87 | 71.40 | 92.50 | 120.4 | 137.6 |
23 | 25.72 | 28.85 | 32.45 | 36.62 | 41.43 | 47.00 | 53.44 | 60.89 | 69.53 | 79.54 | 104.6 | 138.3 | 159.3 |
24 | 26.97 | 30.42 | 34.43 | 39.08 | 44.50 | 50.82 | 58.18 | 66.76 | 76.79 | 88.50 | 118.2 | 158.7 | 184.2 |
25 | 28.24 | 32.03 | 36.46 | 41.65 | 47.73 | 54.86 | 63.25 | 73.11 | 84.70 | 98.35 | 133.3 | 181.9 | 212.8 |
26 | 29.53 | 33.67 | 38.55 | 44.31 | 51.11 | 59.16 | 68.68 | 79.95 | 93.32 | 109.2 | 150.3 | 208.3 | 245.7 |
27 | 30.82 | 35.34 | 40.71 | 47.08 | 54.67 | 63.71 | 74.48 | 87.35 | 102.7 | 121.1 | 169.4 | 238.5 | 283.6 |
28 | 32.13 | 37.05 | 42.93 | 49.97 | 58.40 | 68.53 | 80.70 | 95.34 | 113.0 | 134.2 | 190.7 | 272.9 | 327.1 |
29 | 33.45 | 38.79 | 45.22 | 52.97 | 62.32 | 73.64 | 87.35 | 104.0 | 124.1 | 148.6 | 214.6 | 312.1 | 377.2 |
30 | 34.78 | 40.57 | 47.58 | 56.08 | 66.44 | 79.06 | 94.46 | 113.3 | 136.3 | 164.5 | 241.3 | 356.8 | 434.7 |
40 | 48.89 | 60.40 | 75.40 | 95.03 | 120.8 | 154.8 | 199.6 | 259.1 | 337.9 | 442.6 | 767.1 | 1,342 | 1,779 |
50 | 64.46 | 84.58 | 112.8 | 152.7 | 209.3 | 290.3 | 406.5 | 573.8 | 815.1 | 1,164 | 2,400 | 4,995 | 7,218 |
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 | |
| / |
| = |
| % |
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