Splash World is considering purchasing a water park in Atlanta, Georgia, for $1,920,000. The new facility will generate annual net cash inflows of $487,000 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 2 (Click the icon to view the Present Value of $1 table.) (Click the icon to view Present Value of Ordinary Annuity of $1 table. (Click the icon to view Future Value of $1 table.) (Click the icon to view Future Value of Ordinary Annuity of $1 table.) Read the requirements 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 (i=10%, n=8) Present Value Years Inflow 1-8 Present value of annuity 0 Investment Net present value of the investment The IRR (internal rate of return) is between V 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 World invest in the project because the payback period is the operating life, the NPV is the profitability index is V one, and the ARR and IRR are the company's required rate of return Periods Periods 9% 15% 1.000 1 1 2 2.040 1% 0.990 1.970 2.941 3.902 4.853 2.060 2% 0.980 1.942 2.884 3.808 4.713 2.150 3% 0.971 1.913 2.829 3.717 4.580 Present Value of Ordinary Annuity of $1 6% 7% 8% 9% 10% 0.943 0.935 0.926 0.917 0.909 1.833 1.808 1.783 1.759 1.736 2.673 2.624 2.577 2.531 2.487 3.465 3.387 3.312 3.240 3.170 4.212 4 100 3.993 3.890 3.791 4% 0.962 1.886 2.775 3.630 4.452 5% 0.952 1.859 2.723 3.546 4.329 12% 0.893 1.690 2.402 3.037 3.605 14% 0.877 1.647 2.322 2.914 3.433 15% 0.870 1.626 2.283 2.855 3.352 16% 0.862 1.605 2.246 2.798 3.274 18% 0.847 1.566 2.174 2.690 3.127 20% 0.833 1.528 2.106 2.589 2.991 Future Value of Ordinary Annuity of $1 4% 5% 6% 7% 8% 1.000 1.000 1.000 1.000 1.000 1.000 2.050 2.070 2.080 2.090 3.122 3.153 3.184 3.215 3.246 3.278 4.246 4.310 4.375 4.440 4.506 4.573 5.416 5.526 5.637 5.751 5.867 5.985 2 3 4 5 1% 2% 1.000 1.000 2.010 2.020 3.030 3.060 4.060 4.122 5.101 5.204 3% 1.000 2.030 3.091 4.184 5.309 10% 1.000 2.100 3.310 4.641 6.105 12% 1.000 2.120 3.374 4.779 6.353 14% 1.000 2.140 3.440 4.921 6.610 4 5 3.473 4.993 6.742 5.242 6 7 5,076 5.786 6.002 8 5.795 6.728 7.652 8.566 9.471 5.601 6.472 7.325 8.162 8.983 5.417 6.230 7.020 7.786 8.530 6.463 4.917 5.582 6.210 6.802 7.360 6.733 7.435 8.111 4.767 5.389 5.971 6.515 7.024 4623 5.206 5.747 6.247 6.710 4.486 5.033 5.535 5.995 6.418 4.355 4.868 5.335 5.759 6.145 4.111 3.889 4.564 4.288 4.968 4.639 5.328 4.946 5.650 5.216 3.784 4.160 4.487 4.772 5.019 3.685 4.039 4.344 4.607 4.833 3.498 3.812 4.078 4.303 4.494 3.326 3.605 3.837 4.031 4.192 6 7 8 9 10 6.152 7.214 8.286 9.369 10.46 6.308 7.434 8.583 9.755 10.95 6.468 7.662 8.892 10.16 11.46 6.633 7.898 9.214 10.58 12.01 6.802 8.142 9.549 11.03 12.58 6.975 8.394 9.897 11.49 13.18 7.153 8.654 10.260 11.98 13.82 7.336 8.923 10.64 12.49 14.49 7.716 9.487 11.44 13.58 15.94 8.115 10.09 12.30 14.78 17.55 8.536 10.73 13.23 16.09 19.34 8.754 11.07 13.73 16.79 20.30 9 10 7.108 7.722 7.523 9.200 11.03 13.02 15.19 17.56 20.14 22.95 26.02 29.36 5.938 5.029 8.384 6.194 5.197 11 12 13 14 15 7.139 7.536 7.904 8.244 8.559 6.805 7.161 7.487 7.786 8.061 6.495 6.814 7.103 7.367 7.606 6.424 6.628 6.811 5.453 5.660 5.842 6.002 6.142 5.234 5.421 5.583 5.724 5.847 4.656 4.793 4.910 5.008 5.092 5.342 5.468 5.575 4.327 4.439 4.533 4.611 4.675 11 12 13 14 15 11.57 12.68 13.81 14.95 16.10 12.17 13.41 14.68 15.97 17.29 12.81 14.19 15.62 17.09 18.60 13.49 15.03 16.63 18.29 14.21 15.92 17.71 19.60 21.58 14.97 16.87 18.88 21.02 23.28 15.78 17.89 20.14 22.55 25.13 16.65 18.98 21.50 24.21 27.15 20.65 24.13 28.03 32.39 37.28 23.04 27.27 32.09 37.58 43.84 24.35 29.00 34.35 40.50 47.58 20.02 10.368 9.787 9.253 8.760 8.306 7.887 7.499 11.255 10.575 9.954 9.385 8.863 7.943 12.134 11.348 10.635 9.986 9.394 8.853 8.358 13.004 12.106 11.296 10.563 9.899 9.295 8.745 13.865 12.849 11.938 11.118 10.380 9.712 9.108 14.718 13.578 12.561 11.652 10.838 10.106 9.447 15.562 14.292 13.166 12.166 11.274 10.4779.763 16.398 14.992 | 13.754 | 12.659 11.690 10.828 10.059 17.226 15.678 14.324 13.134 12.085 11.158 10.336 18.046 16.351 14.877 13.590 12.462 11.470 10.594 18.53 21.38 24.52 27.98 31.77 35.95 40.54 45.60 51.16 57.28 21.82 23.70 16 17 18 19 20 8.851 9.122 9.372 9.604 9.818 8.313 8.544 8.756 8.950 9.129 7.824 8.022 8.201 8.365 8.514 6.974 7.120 7.250 7.366 7.469 6.265 6.373 6.467 6.550 6.623 5.954 6.047 6.128 6.198 6.259 5.669 5.749 5.818 5.877 5.929 5.162 5.222 5.273 5.316 5.353 4.730 4.775 4.812 4.844 4.870 16 17 18 19 20 17.26 18.43 19.61 20.81 22.02 18.64 20.01 21.41 22.84 24.30 20.16 21.76 23.41 25.12 26.87 25.65 27.67 29.78 23.66 25.84 28.13 30.54 33.07 25.67 28.21 30.91 33.76 36.79 27.89 30.84 34.00 37.38 41.00 30.32 33.75 37.45 41.45 45.76 33.00 36.97 41.30 46.02 51.16 42.75 48.88 55.75 63.44 72.05 50.98 59.12 68.39 78.97 91.02 55.72 65.08 75.84 88.21 102.4 21 22 23 24 25 7.562 7.645 7.718 7.784 7.843 6.687 6.743 6.792 6.835 6.873 6.312 6.359 6.399 6.434 6.464 5.973 6.011 6.044 6.073 6.097 5.384 5.410 5.432 5.451 5.467 4.891 4.909 4.925 4.937 4.948 21 22 23 24 25 23.24 24.47 25.72 26.97 28.24 25.78 27.30 28.85 30.42 32.03 28.68 30.54 32.45 34.43 36.46 39.99 43.39 47.00 50.82 54.86 44.87 49.01 53.44 58.18 63.25 50.42 55.46 60.89 66.76 73.11 56.76 62.87 69.53 76.79 84.70 64.00 71.40 79.54 88.50 98.35 81.70 92.50 104.6 118.2 133.3 104.8 120.4 138.3 158.7 181.9 118.8 137.6 159.3 184.2 212.8 18.857 17.011 15.415 14.029 12.821 11.764 11.764 10.836 10.836 10.017 9.292 8.649 19.660 17.658 15.937 14.451 13.163 13.163 12.042 11.061 10.2019.442 8.772 20.456 18.292 16.444 14.857 13.489 12.303 11.272 10.371 9.580 8.883 21.243 18.914 16.936 15.247 13.799 12.550 11.469 10.529 9.707 8.985 19.523 17.413 15.622 14.094 12.783 11.654 10.675 9.823 9.077 22.795 20.12117.877 15.983 14.375 13.003 11.826 10.810 9.929 9.161 23.560 20.707 18.327 16.330 14.643 13.211 11.987 10.935 10.027 9.237 24.316 21.281 18.764 16.663 14.898 13.406 12.137 11.051 11.051 10.116 10.116 9.307 25.066 21.844 19.188 16.984 15.141 13.591 | 12.278 11.158 11.158 10.198 10.1989.370 25.808 22.396 | 19.600 17.292 15.372 13.765 12.409 11.258 11.258 10.274 9.427 32.835 27.355 23.115 | 19.793 17.159 15.046 13.332 11.925 10.757 9.779 31.97 35.72 34.25 38.51 36.62 41.43 39.08 44.50 41.65 47.73 44.31 51.11 47.08 54.67 49.97 58.40 52.97 62.32 56.08 66.44 26 27 28 29 30 7.896 7.943 7.984 8.022 8.055 6.906 6.935 6.961 6.983 7.003 6.491 6.514 6.534 6.551 6.566 6.118 6.136 6.152 6.166 6.177 5.480 5.492 5.502 5.510 5.517 4.956 4.964 4.970 4.975 4.979 26 27 28 29 30 29.53 30.82 32.13 33.45 34.78 33.67 35.34 37.05 38.79 40.57 38.55 40.71 42.93 45.22 47.58 59.16 63.71 68.53 73.64 79.06 68.68 74.48 80.70 87.35 94.46 79.95 87.35 95.34 104.0 113.3 93.32 102.7 113.0 124.1 136.3 109.2 121.1 134.2 148.6 164.5 150.3 169.4 190.7 214.6 241.3 208.3 238.5 272.9 312.1 356.8 245.7 283.6 3271 3772 434.7 40 8.244 7.105 6.642 6.233 5.548 4.997 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 39.196 31.424 25.730 21.482 18.256 15.762 | 13.801 12.233 10.962 9.915 8.304 7.133 6.661 6.246 5.554 4.999 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 Present Value of $1 Future Value of $1 12% 0.893 0.797 Periods 1 2 3 4 5 1% 0.990 0.980 0.971 0.961 0.951 2% 0.980 0.961 0.942 0.924 0.906 3% 0.971 0.943 0.915 0.888 0.863 4% 0.962 0.925 0.889 0.855 0.822 5% 0.952 0.907 0.864 0.823 0.784 6% 0.943 0.890 0.840 0.792 0.747 7% 0.935 0.873 0.816 0.763 0.713 8% 0.926 0.857 0.794 0.735 0.681 9% 0.917 0.842 0.772 0.708 0.650 10% 0.909 0.826 0.751 0.683 0.621 14% 0.877 0.769 0.675 0.592 0.519 15% 0.870 0.756 0.658 0.572 0.497 16% 0.862 0.743 0.641 0.552 0.476 18% 0.847 0.718 0.609 0.516 0.437 20% 0.833 0.694 0.579 0.482 0.402 Periods 1 2 3 4 5 1% 1.010 1.020 1.030 1.041 1.051 2% 1.020 1.040 1.061 1.082 1.104 3% 1.030 1,061 1.093 1.126 1.159 4% 1.040 1.082 1.125 1.170 1.217 5% 1.050 1.103 1.158 1.216 1.276 6% 1.060 1.124 1.191 1.262 1.338 7% 1.070 1.145 1.225 1.311 1.403 8% 1.080 1.166 1.260 1.360 1.469 9% 1.090 1.188 1.295 1.412 1.539 10% 1.100 1.210 1.331 1.464 1.611 12% 1.120 1.254 1.405 1.574 1.762 14% 1.140 1.300 1.482 1.689 1.925 15% 1.150 1.323 1.521 1.749 2.011 0.712 0.636 0.567 6 7 8 9 10 0.942 0.933 0.923 0.914 0.905 0.888 0.871 0.853 0.837 0.820 0.837 0.813 0.789 0.766 0.744 0.790 0.760 0.731 0.703 0.676 0.746 0.711 0.677 0.645 0.614 0.705 0.665 0.627 0.592 0.558 0.666 0.623 0.582 0.544 0.508 0.630 0.583 0.540 0.500 0.463 0.596 0.547 0.502 0.460 0.422 0.564 0.513 0.467 0.424 0.386 0.507 0.452 0.404 0.361 0.322 0.456 0.400 0.351 0.308 0.270 0.432 0.376 0.327 0.284 0.247 0.410 0.354 0.305 0.263 0.227 0.370 0.314 0.266 0.225 0.191 0.335 0.279 0.233 0.194 0.162 6 7 8 9 10 1.062 1.072 1.083 1.094 1.105 1.126 1.149 1.172 1.195 1.219 1.194 1.230 1.267 1.305 1.344 1.265 1.316 1.369 1.423 1.480 1.340 1.407 1.477 1.551 1.629 1.419 1.504 1.594 1.689 1.791 1.501 1.587 1.606 1.714 1.718 1.851 1.838 1.999 1.967 2.159 1.677 1.828 1.993 2.172 2.367 1.772 1.949 2.144 2.358 2.594 1.974 2.211 2.476 2.773 3.106 2.195 2.502 2.853 3.252 3.707 2.313 2.660 3.059 3.518 4.046 11 12 13 14 15 0.896 0.887 0.879 0.870 0.861 0.804 0.788 0.773 0.758 0.743 0.722 0.701 0.681 0.661 0.642 0.650 0.625 0.601 0.577 0.555 0.585 0.557 0.530 0.505 0.481 0.527 0.497 0.469 0.442 0.417 0.475 0.444 0.415 0.388 0.362 0.429 0.397 0.368 0.340 0.315 0.388 0.356 0.326 0.299 0.275 0.350 0.319 0.290 0.263 0.239 0.287 0.257 0.229 0.205 0.183 0.237 0.208 0.182 0.160 0.140 0.215 0.187 0.163 0.141 0.123 0.195 0.168 0.145 0.125 0.108 0.162 0.137 0.116 0.099 0.084 0.135 0.112 0.093 0.078 0.065 11 12 13 14 15 1.116 1.127 1.138 1.149 1.161 1.243 1.268 1.294 1.319 1.346 1.384 1.426 1.469 1.513 1.558 1.710 1.796 1.886 1.980 2.079 1.898 2.012 2.133 2.261 2.397 2.105 2.252 2.410 2.579 2.759 2.332 2.518 2.720 2.937 3.172 2.580 2.813 3.066 3.342 3.642 2.853 3.138 3.452 3.798 4.177 3.479 3.896 4.363 4.887 5.474 4.226 4.818 5.492 6.261 7.138 4.652 5.350 6.153 7.076 8.137 1.539 1.601 1.665 1.732 1.801 1.873 1.948 2.026 2.107 2.191 16 17 18 19 20 0.853 0.844 0.836 0.828 0.820 0.728 0.714 0.700 0.686 0.673 0.623 0.605 0.587 0.570 0.554 0.534 0.513 0.494 0.475 0.458 0.436 0.416 0.396 0.377 0.394 0.371 0.350 0.331 0.312 0.339 0.317 0.296 0.277 0.292 0.252 0.270 0.231 0.250 0.212 0.232 0.194 0.215 0.178 0.218 0.198 0.180 0.164 0.149 0.163 0.146 0.130 0.116 0.104 0.123 0.108 0.095 0.083 0.073 0.107 0.093 0.081 0.070 0.061 0.093 0.080 0.069 0.060 0.051 0.071 0.060 0.051 0.043 0.037 0.054 0.045 0.038 0.031 0.026 16 17 18 19 20 1.173 1.184 1.196 1.208 1.220 1.373 1.400 1.428 1.457 1.486 1.605 1.653 1.702 1.754 1.806 2.183 2.292 2.407 2.527 2.653 2.540 2.693 2.854 3.026 3.207 2.952 3.159 3.380 3.617 3.870 3.426 3.700 3.996 3.970 4.328 4.717 5.142 5.604 4.595 5.054 5.560 6.116 6.727 6.130 6.866 7.690 8.613 9.646 8.137 9.276 10.58 12.06 13.74 9.358 10.76 12.38 14.23 16.37 4.316 0.456 0.258 4.661 21 22 23 24 25 0.811 0.803 0.795 0.788 0.780 0.660 0.647 0.634 0.538 0.522 0.507 0.492 0.478 0.439 0.422 0.406 0.390 0.375 0.359 0.342 0.326 0.310 0.295 0.294 0.278 0.262 0.247 0.233 0.242 0.226 0.211 0.197 0.184 0.199 0.184 0.170 0.158 0.146 0.164 0.150 0.138 0.126 0.116 0.135 0.123 0.112 0.102 0.092 0.093 0.083 0.074 0.066 0.059 0.064 0.056 0.049 0.043 0.038 0.053 0.046 0.040 0.035 0.030 0.044 0.038 0.033 0.028 0.024 0.031 0.026 0.022 0.019 0.016 0.022 0.018 0.015 0.013 0.010 21 22 23 24 25 1.232 1.245 1.257 1.270 1.282 1.516 1.546 1.577 1.608 1.641 1.860 1.916 1.974 2.033 2.094 2.279 2.370 2.465 2.563 2.666 2.786 2.925 3,072 3.225 3.386 3.400 3.604 3.820 4.049 4.292 4.141 4.430 4.741 5.072 5.427 5.034 5.437 5.871 6.341 6.848 6.109 6.659 7.258 7.911 8.623 7.400 8.140 8.954 9.850 10.83 10.80 12.10 13.55 15.18 17.00 15.67 17.86 20.36 23.21 26.46 18.82 21.64 24.89 28.63 32.92 0.622 0.610 26 27 28 29 30 0.772 0.764 0.757 0.749 0.742 0.598 0.586 0.574 0.563 0.552 0.464 0.450 0.437 0.424 0.412 0.361 0.347 0.333 0.321 0.308 0.281 0.268 0.255 0.243 0.231 0.220 0.207 0.196 0.185 0.174 0.097 0.172 0.161 0.150 0.141 0.131 0.135 0.106 0.125 0.098 0.116 0.090 0.107 0.082 0.099 0.075 0.084 0.076 0.069 0.063 0.057 0.053 0.047 0.042 0.037 0.033 0.033 0.029 0.026 0.022 0.020 0.026 0.023 0.020 0.017 0.015 0.021 0.018 0.016 0.014 0.012 0.014 0.011 0.010 0.008 0.007 0.009 0.007 0.006 0.005 0.004 26 27 28 29 30 1.295 1.308 1.321 1.335 1.348 1.673 2.157 1.707 2.221 1.741 2.288 1.776 2.357 1.811 2.427 2.772 2.883 2.999 3.119 3.243 3.556 3.733 3.920 4.116 4.322 4.549 4.822 5.112 5.418 5.743 5.807 6.214 6.649 7.114 7.612 7.396 7.988 8.627 9.317 10.06 9.399 10.25 11.17 12.17 13.27 11.92 13.11 14.42 15.86 17.45 19.04 21.32 23.88 26.75 29.96 30.17 34.39 39.20 44.69 50.95 37.86 43.54 50.07 57.58 66.21 40 0.672 0.453 0.307 0.208 0.142 0.067 0.046 0.032 0.022 0.011 0.005 0.004 0.003 0.001 0.001 40 1.489 2.208 3.262 4.801 7.040 10.29 14.97 21.72 31.41 45.26 93.05 188.9 267.9 50 0.608 0.372 0.228 0.141 0.087 0.054 0.034 0.021 0.013 0.009 0.003 0.001 0.001 0.001 50 1.645 2.692 4.384 7.107 11.47 18.42 29.46 46.90 74.36 117.4 289.0 700.2 1,084