Splash Nation is considering purchasing a water park in Atlanta, Georgia, for $1,910,000. The new facility will generate annual net cash inflows of $483,000 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. (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.) Read the requirements. (Click the icon to view Future Value of Ordinary Annuity of $1 table.) 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.) $ 244,250 $ Amount invested 1,910,000 Expected annual net cash inflow 483,000 Payback 4.0 years Next, determine the formula and calculate the accounting rate of retum (ARR). (Round the percentage to the nearest tenth percent, X.X%.) Average annual operating income Requirements Average amount invested 955,000 ARR 25.6 % Calculate the net present value (NPV). (Enter any factor amounts to three decimal places, X.XXX.) Years 1-8 Present value of annulty 0 Investment Inflow Net Cash Annuity PV Factor (i=10%, n=8) Present 1. Compute the payback, the ARR, the NPV, the IRR, and the profitability Index of this investment. Value 2. Recommend whether the company should invest in this project. Net present value of the investment Print Done Reference Present Value of $1 Periods Period 4 Period 5 0.784 0.747 1% 2% 3% 4% 5% 6% 7% 8% 9% 10% 12% 14% Period 1 0.990 0.980 0.971 0.962 0.952 0.943 0.935 0.926 0.917 0.909 0.893 0.877 0.870 0.862 0.847 0.833 Period 2 0.980 0.961 0.943 0.925 0.907 0.890 0.873 0.857 0.842 0.826 0.797 0.769 0.756 0.743 0.718 0.694 Period 3 0.971 0.942 0.915 0.889 0.864 0.840 0.816 0.794 0.772 0.751 0.712 0.675 0.658 0.641 0.609 0.579 0.961 0.924 0.888 0.855 0.823 0.792 0.763 0.735 0.708 0.683 0.636 0.592 0.572 0.552 0.516 0.482 0.951 0.906 0.863 0.822 0.713 0.681 0.650 0.621 0.567 0.519 0.497 0.476 0.437 0.402 15% 16% 18% 20% Period 6 0.942 0.888 0.837 0.790 0.746 0.705 0.666 0.630 Period 7 0.933 0.871 0.813 0.760 Period 8 0.923 0.853 0.789 0.731 Period 9 Period 10 0.711 0.665 0.623 0.583 0.677 0.627 0.582 0.914 0.837 0.766 0.703 0.645 0.905 0.820 0.744 0.676 0.614 0.592 0.544 0.558 0.508 0.596 0.564 0.507 0.456 0.432 0.410 0.370 0.335 0.547 0.513 0.452 0.400 0.376 0.354 0.314 0.279 0.540 0.502 0.467 0.404 0.351 0.327 0.305 0.266 0.233 0.500 0.460 0.424 0.361 0.308 0.284 0.263 0.225 0.194 0.463 0.422 0.386 0.322 0.270 0.247 0.227 0.191 0.162 Period 11 0.896 0.804 0.722 0.650 0.585 Period 12 0.887 0.788 0.701 0.625 0.557 Period 13 0.879 0.773 0.681 0.601 0.530 Period 14 0.870 0.758 0.661 0.577 0.505 Period 15 0.861 0.743 0.642 0.555 0.527 0.497 0.444 0.475 0.469 0.415 0.368 0.442 0.388 0.340 0.481 0.417 0.362 0.315 Period 16 0.853 0.728 0.623 Period 17 0.844 0.714 0.605 0.513 Period 18 0.836 0.700 0.587 0.494 0.534 0.458 0.394 0.339 0.292 0.436 0.371 0.317 0.416 0.350 0.296 Period 19 0.828 0.686 0.570 0.475 0.396 Period 20 0.820 0.673 0.554 0.456 0.377 0.331 0.277 0.312 0.258 0.250 0.212 0.180 0.130 0.232 0.194 0.164 0.116 0.215 0.178 0.149 0.104 Period 21 0.811 0.660 0.538 0.439 0.359 Period 22 0.803 0.647 0.522 0.422 0.342 Period 23 0.795 0.634 0.507 0.406 0.326 0.294 0.242 0.278 0.226 0.262 0.211 0.429 0.388 0.350 0.287 0.237 0.215 0.195 0.162 0.135 0.397 0.356 0.319 0.257 0.208 0.187 0.168 0.137 0.112 0.326 0.290 0.229 0.182 0.163 0.145 0.116 0.093 0.299 0.263 0.205 0.160 0.141 0.125 0.099 0.078 0.275 0.239 0.183 0.140 0.123 0.108 0.084 0.065 0.252 0.218 0.163 0.123 0.107 0.093 0.071 0.054 0.270 0.231 0.198 0.146 0.108 0.093 0.080 0.060 0.045 0.095 0.081 0.069 0.051 0.038 0.083 0.070 0.060 0.043 0.031 0.073 0.061 0.051 0.037 0.026 0.199 0.164 0.135 0.093 0.064 0.053 0.044 0.031 0.022 0.184 0.150 0.123 0.083 0.056 0.046 0.038 0.026 0.018 0.170 0.138 0.112 0.074 0.049 0.040 0.033 0.022 0.015 Print Done Reference Present Value of Ordinary Annuity of $1 Period 2 Period 3 Period 4 Period 5 Periods 1% 2% 3% 4% Period 1 0.990 0.980 0.971 0.962 1.970 1.942 1.913 2.941 2.884 2.829 3.902 3.808 3.717 4.853 4.713 4.580 1.886 5% 6% 7% 0.952 0.943 0.935 1.859 1.833 1.808 2.775 2.723 2.673 2.624 3.630 3.546 3.465 3.387 4.452 4.329 4.212 4.100 Period 11 8% 9% 10% 12% 14% 15% 16% 18% 20% 0.926 0.917 0.909 0.893 0.877 0.870 0.862 0.847 0.833 1.783 1.759 1.736 1.690 1.647 1.626 1.605 1.566 1.528 2.577 2.531 2.487 2.402 2.322 2.283 2.246 2.174 2.106 3.312 3.240 3.170 3.037 2.914 2.855 2.798 2.690 2.589 3.993 3.890 3.791 3.605 3.433 3.352 3.274 3.127 2.991 Period 6 5.795 5.601 5.417 5.242 5.076 4.917 4.767 4.623 4.486 4.355 4.111 3.889 3.784 3.685 3.498 3.326 Period 7 6.728 6.472 6.230 6.002 5.786 5.582 5.389 5.206 5.033 4.868 4.564 4.288 4.160 4.039 3.812 3.605 Period 8 7.652 7.325 7.020 6.733 6.463 6.210 5.971 5.747 5.535 5.335 4.968 4.639 4.487 4.344 4.078 3.837 Period 9 8.566 8.162 7.786 7.435 7.108 6.802 6.515 6.247 5.995 5.759 5.328 4.946 4.772 4.607 4.303 4.031 Period 10 9.471 8.983 8.530 8.111 7.722 7.360 7.024 6.710 6.418 6.145 5.650 5.216 5.019 4.833 4.494 4.192 10.368 9.787 9.253 8.760 8.306 7.887 7.499 7.139 6.805 6.495 5.938 5.453 5.234 5.029 4.656 4.327 Period 12 11.255 10.575 9.954 9.385 8.863 8.384 7.943 7.536 7.161 6.814 6.194 5.660 5.421 5.197 4.793 4.439 Period 13 12.134 11.348 10.635 9.986 9.394 8.853 8.358 7.904 7.487 7.103 6.424 5.842 5.583 5.342 4.910 4.533 Period 14 13.004 12.106 11.296 10.563 9.899 9.295 8.745 8.244 7.786 7.367 6.628 6.002 5.724 Period 15 13.865 12.849 11.938 11.118 10.380 9.712 9.108 8.559 8.061 7.606 6.811 6.142 Period 16 14.718 13.578 12.561 11.652 10.838 10.106 9.447 8.851 8.313 7.824 6.974 6.265 5.954 5.669 5.162 4.730 Period 17 15.562 14.292 13.166 12.166 11.274 10.477 9.763 9.122 8.544 8.022 7.120 6.373 6.047 5.749 5.222 4.775 Period 18 16.398 14.992 13.754 12.659 11.690 10.828| 10.059 9.372 8.756 8.201 7.250 6.467 6.128 5.818 5.273 4.812 Period 19 17.226 15.678 14.324 13.134 12.085 11.158 10.336 9.604 8.950 8.365 7.366 6.550 6.198 5.877 5.316 4.844 Period 20 18.046 16.351 14.877 13.590 12.462 11.470 10.594 9.818 9.129 8.514 7.469 6.623 6.259 5.929 5.353 4.870 Period 21 18.857 17.011 15.415 14.029 12.821 11.764 10.836 10.017 9.292 8.649 7.562 6.687 6.312 5.973 5.384 4.891 Period 22 19.660 17.658 15.937 14.451 13.163 12.042 11.061 10.201 9.442 8.772 7.645 6.743 6.359 6.011 5.410 4.909 Period 23 20.456 18.292 16.444 14.857 13.489 12.303 11.272 10.371 9.580 8.883 7.718 6.792 6.399 6.044 5.432 4.925 5.468 5.008 4.611 5.847 5.575 5.092 4.675 Print Done - Reference Future Value of $1 Periods 1% 2% 3% Period 1 Period 2 Period 3 Period 4 Period 5 Period 6 Period 7 Period 8 Period 9 Period 10 Period 11 Period 12 Period 13 Period 14 Period 15 Period 16 Period 17 4% 5% 6% 7% 8% 9% 10% 1.010 1.020 1.030 1.040 1.050 1.060 1.070 1.080 1.090 1.100 1.020 1.040 1.061 1.082 1.103 1.124 1.145 1.166 1.188 1.210 1.030 1.061 1.093 1.125 1.158 1.191 1.225 1.260 1.295 1.331 1.041 1.082 1.126 1.170 1.216 1.262 1.311 1.360 1.412 1.464 1.051 1.104 1.159 1.217 1.276 1.338 1.403 1.469 1.539 1.611 1.062 1.126 1.194 1.265 1.340 1.419 1.501 1.587 1.677 1.772 1.072 1.149 1.230 1.316 1.407 1.504 1.606 1.714 1.828 1.949 1.083 1.172 1.267 1.369 1.477 1.594 1.718 1.851 1.993 2.144 2.476 2.853 3.059 1.094 1.195 1.305 1.423 1.551 1.689 1.838 1.999 2.172 2.358 2.773 3.252 3.518 1.105 1.219 1.344 1.480 1.629 1.791 1.967 2.159 2.367 2.594 3.106 3.707 4.046 1.116 1.243 1.384 1.539 1.710 1.898 2.105 2.332 2.580 2.853 1.127 1.268 1.426 1.601 1.796 2.012 2.252 2.518 2.813 3.138 3.896 4.818 5.350 1.138 1.294 1.469 1.665 1.886 2.133 2.410 2.720 3.066 3.452 4.363 5.492 6.153 1.149 1.319 1.513 1.732 1.980 2.261 2.579 2.937 3.342 3.798 4.887 6.261 7.076 1.161 1.346 1.558 1.801 2.079 2.397 2.759 3.172 3.642 4.177 12% 14% 15% 1.120 1.140 1.150 1.254 1.300 1.323 1.405 1.482 1.521 1.574 1.689 1.749 1.762 1.925 2.011 1.974 2.195 2.313 2.211 2.502 2.660 3.479 4.226 4.652 5.474 7.138 8.137 Period 18 Period 19 Period 20 Period 21 Period 22 Period 23 1.173 1.373 1.605 1.873 2.183 2.540 2.952 3.426 3.970 4.595 1.184 1.400 1.653 1.948 2.292 2.693 3.159 3.700 4.328 5.054 6.866 9.276 10.76 1.196 1.428 1.702 2.026 2.407 2.854 3.380 3.996 4.717 5.560 7.690 10.58 12.38 1.208 1.457 1.754 2.107 2.527 3.026 3.617 4.316 5.142 6.116 8.613 12.06 14.23 1.220 1.486 1.806 2.191 2.653 3.207 3.870 4.661 5.604 6.727 9.646 13.74 16.37 1.232 1.516 1.860 2.279 2.786 3.400 4.141 5.034 6.109 7.400 10.80 15.67 18.82 1.245 1.546 1.916 2.370 2.925 3.604 4.430 5.437 6.659 8.140 12.10 17.86 21.64 1.257 1.577 1.974 2.465 3.072 3.820 4.741 5.871 7.258 8.954 13.55 20.36 24.89 6.130 8.137 9.358 Print Done - Reference Future Value of Ordinary Annuity of $1 Periods Period 1 Period 2 Period 3 Period 6 Period 7 6.152 6.308 6.468 6.633 6.802 7.214 7.434 7.662 7.898 8.142 Period 8 Period 9 8.286 8.583 8.892 9.214 9.549 9.369 9.755 10.16 10.58 1% 2% 3% 4% 5% 6% 7% 8% 9% 10% 12% 14% 15% 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 2.010 2.020 2.030 2.040 2.050 2.060 2.070 2.080 2.090 2.100 2.120 2.140 2.150 3.030 3.060 3.091 3.122 3.153 3.184 3.215 3.246 3.278 3.310 3.374 3.440 3.473 Period 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 Period 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 6.975 8.394 9.897 11.03 11.49 10.46 10.95 11.46 12.01 Period 15 Period 10 Period 11 11.57 12.17 12.81 13.49 14.21 Period 12 12.68 13.41 14.19 15.03 15.92 16.87 Period 13 13.81 14.68 15.62 16.63 17.71 18.88 Period 14 14.95 15.97 17.09 18.29 19.60 21.02 16.10 17.29 18.60 20.02 21.58 23.28 12.58 13.18 7.153 7.336 7.523 7.716 8.115 8.536 8.754 8.654 8.923 9.200 9.487 10.09 10.73 11.07 10.260 10.64 11.03 11.44 12.30 13.23 13.73 11.98 12.49 13.02 13.58 14.78 16.09 16.79 13.82 14.49 15.19 15.94 17.55 19.34 20.30 14.97 15.78 16.65 17.56 18.53 20.65 23.04 24.35 17.89 18.98 20.14 21.38 24.13 27.27 29.00 Period 16 20.14 21.50 22.95 24.52 22.55 24.21 26.02 27.98 32.39 37.58 40.50 25.13 27.15 29.36 31.77 37.28 43.84 47.58 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 Period 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 Period 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 Period 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 Period 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 Period 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 Period 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 Period 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 28.03 32.09 34.35 Print Done