Water Country is considering purchasing a water park in Atlanta, Georgia, for $1,880,000. The new facility will generate annual net cash inflows of $462,000 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 $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 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 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: Water Country 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. 1 X Reference Present Value of $1 Periods 1% 2% 3% 4% 5% 6% 7% Period 1 0.990 0.980 0.971 0.962 0.952 0.943 0.935 Period 2 0.980 0.961 0.943 0.925 0.907 0.890 0.873 Period 3 0.971 0.942 0.915 0.889 0.864 0.840 0.816 Period 4 0.961 0.924 0.888 0.855 0.823 0.792 0.763 Period 5 0.951 0.906 0.863 0.822 0.784 0.747 0.713 Period 6 0.942 0.888 0.837 0.790 0.746 0.705 0.666 Period 7 0.933 0.871 0.813 0.760 0.711 0.665 0.623 Period 8 0.923 0.853 0.789 0.731 0.677 0.627 0.582 Period 9 0.914 0.837 0.766 0.703 0.645 0.592 0.544 Period 10 0.905 0.820 0.744 0.676 0.614 0.558 0.508 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 0.857 0.842 0.826 0.797 0.769 0.756 0.7430.718 0.694 0.794 0.772 0.751 0.712 0.675 0.658 0.641 0.609 0.579 0.735 0.708 0.683 0.636 0.592 0.572 0.552 0.516 0.482 0.681 0.650 0.621 0.567 0.519 0.497 0.476 0.437 0.402 Period 11 0.896 0.8040.722 0.650 0.585 0.527 0.475 Period 12 0.887 0.788 0.701 0.625 0.557 0.497 0.444 Period 13 0.879 0.773 0.681 0.601 0.530 0.469 0.415 Period 14 0.870 0.758 0.661 0.577 0.505 0.442 0.388 Period 15 0.861 0.743 0.642 0.555 0.481 0.417 0.362 Period 16 0.853 0.728 0.623 0.534 0.458 0.394 0.339 Period 17 0.844 0.714 0.605 0.513 0.436 0.371 0.317 Period 18 0.836 0.700 0.587 0.494 0.416 0.350 0.296 Period 19 0.828 0.686 0.570 0.475 0.396 0.331 0.277 Period 20 0.820 0.673 0.554 0.456 0.377 0.312 0.258 Period 21 0.811 0.660 0.538 0.439 0.359 0.294 0.242 Period 22 0.803 0.647 0.522 0.422 0.342 0.278 0.226 Period 23 0.795 0.634 0.507 0.406 0.326 0.262 0.211 Period 24 0.788 0.622 0.492 0.390 0.310 0.247 0.197 Period 25 0.780 0.610 0.478 0.375 0.295 0.233 0.184 0.630 0.596 0.564 0.507 0.456 0.432 0.410 0.370 0.335 0.583 0.547 0.513 0.452 0.400 0.376 0.354 0.314 0.279 0.540 0.502 0.467 0.4040.351 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 0.429 0.388 0.350 0.287 0.237 0.215 0.1950.162 0.135 0.397 0.356 0.319 0.257 0.208 0.187 0.168 0.137 0.112 0.368 0.326 0.290 0.229 0.182 0.163 0.145 0.116 0.093 0.340 0.299 0.263 0.205 0.160 0.141 0.125 0.099 0.078 0.315 0.275 0.239 0.183 0.140 0.123 0.108 0.084 0.065 0.292 0.252 0.218 0.163 0.123 0.107 0.093 0.071 0.054 0.270 0.231 0.1980.146 0.108 0.093 0.080 0.060 0.045 0.250 0.212 0.180 0.130 0.095 0.081 0.069 0.051 0.038 0.232 0.194 0.164 0.116 0.083 0.070 | 0.060 | 0.043 0.031 0.215 0.178 0.149 0.104 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 0.158 0.126 0.102 0.066 0.043 0.035 0.028 0.019 0.013 0.146 0.116 0.092 0.059 0.038 0.030 0.024 0.0160.010 Period 26 0.772 0.598 0.464 0.361 0.281 0.220 0.172 0.135 0.106 0.084 0.053 0.033 0.026 0.021 0.014 0.009 Period 27 0.764 0.586 0.450 0.347 0.268 0.207 0.161 0.125 0.098 0.076 0.047 0.029 0.023 0.018 0.0110.007 Period 28 0.757 0.574 0.437 0.333 0.255 0.196 0.150 0.116 0.090 0.069 0.042 0.026 0.020 0.016 0.010 0.006 Period 29 0.7490.563 0.424 0.321 0.243 0.185 0.141 0.107 0.082 0.063 0.037 0.022 0.017 0.014 0.008 0.005 Period 30 0.742 0.552 0.412 0.308 0.231 0.1740.131 0.099 0.075 0.057 0.033 0.020 0.015 0.012 0.007 0.004 Period 40 0.672 0.453 0.307 0.208 0.142 0.097 0.067 0.046 0.032 0.022 0.0110.005 0.0040.003 0.001 0.001 Period 50 0.608 0.372 0.228 0.141 0.087 0.054 0.034 0.021 0.013 0.0090.003 0.001 0.001 0.001 X Reference Present Value of Ordinary Annuity of $1 Periods 2% 3% 5% 6% 7% 8% 9% 10% 12% 14% 15% 16% 18% 20% 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 1.970 1.942 1.913 1.886 1.859 1.833 1.808 1.783 1.759 1.736 1.6901.647 1.626 1.605 1.566 1.528 Period 3 2.941 2.884 | 2.829 2.775 2.723 2.673 2.624 2.577 2.531 2.487 2.402 2.322 2.283 2.246 2.174 2.106 Period 4 3.902 3.808 3.717 3.630 3.546 3.465 3.387 3.312 3.240 3.170 3.037 2.914 2.855 2.798 2.690 2.589 Period 5 4.853 4.713 4.580 4.452 4.329 4.212 4.100 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 5.2425.0764.917 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 6.0025.786 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 8.5668.162 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 8.9838.530 8.111 7.722 7.360 7.024 6.710 6.418 6.145 5.6505.216 5.019 4.833 4.494 4.192 Period 11 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 9.3858.8638.384 7.9437.536 7.1616.814 6.1945.660 5.421 5.197 4.793 4.439 Period 13 12.134 11.348 10.635 9.986 9.3948.853 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 5.468 5.008 4.611 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 5.847 5.575 5.092 4.675 Period 16 14.718 13.578 12.561 11.652 10.838 10.106 9.447 8.851 8.313 7.824 6.9746.265 5.954 5.669 5.1624.730 Period 17 15.562 14 292 13.166 12.166 11.27410.4771 9.763 9.122 8.544 8.022 7.1206.373 6.047 5.749 5.222 4.775 Period 18 16.398 14.992 13.754 12.659 11.690 10.828 10.0599.372 8.756 8.2017.250 6.467 6.128 5.818 5.2734.812 Period 19 17.226 15.678 14.324 13.134 12.085 11.158 10.336 9.604 8.950 8.3657.366 6.5506.198 5.877 5.316 4.844 Period 20 18.046 16.351 14.877 13.590 12.462 11.470 10.5949.818 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 7.5626.687 6.312 5.973 5.384 4.891 Period 22 19.660 17.658 15.937 14.451 13.163 12.042 11.061 10.2019.442 8.772 7.645 6.743 6.359 6.011 5.410 4.909 Period 23 20.456 18.292 16.444 14.857 13.48912.303 11.272 10.371 9.5808.883 7.718 6.792 6.399 6.044 5.432 4.925 Period 24 21.24318.914 16.936 15.247 13.799 12.550 11.469 10.529 9.707 8.985 7.784 6.835 6.434 6.073 5.451 4.937 Period 25 22.023 19.523 17.413 15.622 14.09412.783 11.654 10.675 9.8239.077 7.8436.873 6.464 6.097 5.467 4.948 Period 26 22.795 20.121 17.877 15.983 14.375 13.003 11.826 10.8109.929 9.161 7.896 6.906 6.491 Period 27 23.560 20.707 18.327 16.330 14.643 13.211 11.987 10.935 10.0271 9.237 7.943 6.935 6.514 Period 28 24.31621.281 18.764 16.663 14.898 13.406 12.137 11.051 10.116 9.307 7.984 6.961 6.534 Period 29 25.066 21.844 19.188 16.984 15.141 13.591 12.278 11.158 10.198 9.370 8.022 6.983 6.551 Period 30 25.80822.396 19.600 17.292 15.372 13.765 12.409 11.258 10.274 9.427 8.055 7.003 6.566 Period 40 32.835 27.355 23.115 19.793 17.159 15.046 13.332 11.925 10.757 9.779 | 8.244 7.105 6.642 Period 50 39.196 31.424 25.730 21.482 18.25615.762 13.801 12.233 10.962 9.915 8.304 7.133 6.661 6.118 5.480 4.956 6.136 5.492 4.964 6.152 5.502 4.970 6.166 5.510 4.975 6.1775.517 4.979 6.233 5.548 4.997 6.246 5.554 4.999 Reference Future Value of $1 Periods Period 1 Period 2 Period 3 Period 4 Period 5 2% 1.010 1.020 1.020 1.040 1.030 1.061 1.041 1.082 1.051 1.104 Period 6 Period 7 Period 8 Period 9 Period 10 1.062 1.126 1.072 1.149 1.083 1.172 1.094 1.195 1.105 | 1.219 1.116 1.243 1.127 1.268 1.138 | 1.294 1.149 | 1.319 1.161 1.346 3% 4% 5% 6% 7% 8% 9% 10% 12% 14% 15% 1.030 1.040 1.050 1.060 1.070 1.080 1.090 1.100 1.120 1.140 1.150 1.061 1.0821.103 1.1241.145 1.166 1.1881.210 1.254 1.300 1.323 1.093 1.125 1.158 1.191 1.225 1.260 1.295 1.331 1.405 1.482 1.521 1.126 1.170 1.216 1.262 1.311 1.360 1.412 1.464 1.574 1.689 1.749 1.159 1.217 1.276 1.338 1.403 1.469 1.539 1.611 1.762 1.925 2.011 1.194 1.265 1.340 1.419 1.501 1.587 1.677 1.772 1.9742.195 2.313 1.230 1.316 1.407 1.5041.606 1.7141.828 1.949 2211 2.502 2.660 1.267 1.369 1.4771.594 1.718 1.851 1.993 2.144 2.476 2.853 3.059 1.305 1.423 1.551 1.689 1.838 1.999 2.172 2.358 2.773 3.252 3.518 1.344 1.480 1.629 1.791 1.967 2.159 2.367 2.594 3.106 3.707 4.046 1.384 1.539 1.710 1.898 2.105 2.332 2.580 2.853 3.479 4.226 4.652 1.426 1.601 1.796 2.012 2.252 2.518 2.813 3.138 3.896 4.818 5.350 1.469 1.665 1.886 2.133 2.410 2.720 3.066 3.452 4.363 5.492 6.153 1.513 1.732 1.980 2.261 2.579 2.937 3.342 3.798 4.887 6.261 7.076 1.558 1.801 2079 2.397 2.759 3.172 3.642 | 4.177 5.474 7.1388.137 1.605 1.873 2.183 2.540 2.952 3.426 3.970 4.595 6.130 8.137 9.358 1.653 1.948 2.292 2.693 3.159 3.700 4.328 5.054 6.866 9.276 10.76 1.702 2.0262.407 2.854 3.380 3.996 4.717 5.560 7.690 10.58 | 12.38 1.754 2.107 2.527 3.026 3.6174.316 5.142 6.116 8.613 12.06 14.23 1.806 2191 2.653 3.207 3.870 4.661 5.6046.727 9.646 13.74 16.37 Period 11 Period 12 Period 13 Period 14 Period 15 Period 16 Period 17 Period 18 Period 19 Period 20 1.173 1.373 1.184 1.400 1.1961.428 1.208 1.457 1.220 1.486 Period 21 Period 22 Period 23 Period 24 Period 25 1.232 1.516 1.860 2279 2.786 3.400 4.1415.034 6.1097.400 10.80 15.67 18.82 1.245 1.546 1.916 2370 2.925 3.604 4.430 5.4376.659 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 1.270 1.608 2.0332563 3.225 4.049 5.0726.341 7.911 9.850 15.18 23.21 | 28.63 1.282 1.641 2.094 2.666 3.386 4.292 5.427 6.848 8.623 10.83 17.00 26.46 | 32.92 1.295 1.673 2.157 2772 3.556 4.549 5.8077.396 9.399 11.92 19.04 30.17 37.86 1.308 1.707 2.221 | 2.883 3.733 4.822 6.214 7.988 10.25 13.11 21.32 34.39 43.54 1.321 1.741 2.288 2.999 3.920 5.112 6.649 8.627 11.17 14.42 23.88 39.20 50.07 1.335 1.776 2.357 3.119 4.116 5.418 7.114 9.317 12.17 15.86 26.75 44.69 57.58 1.348 1.811 2.427 3.243 4.3225.743 7.612 10.06 13.27 17.45 29.96 50.95 | 66.21 Period 26 Period 27 Period 28 Period 29 Period 30 Period 40 1.489 2.208 3.262 4.801 7.040 10.29 14.97 21.72 31.41 45.2693.05 188.9 267.9 Period 50 1.645 2.692 | 4.384 7.107 11.47 18.42 29.46 46.90 74.36 117.4 289.0 700.21,084 T Reference Future Value of Ordinary Annuity of $1 Periods 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 Period 18 Period 19 Period 20 1% 2% 3% 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 2.1202.140 2.150 3.030 3.060 3.091 3.122 3.153 3.1843.215 3.246 3.278 3.310 3.374 3.440 3.473 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 5.101 5.204 5.309 5.416 5.526 5.637 5.751 5.867 5.985 6.105 6.353 6.610 6.742 6.152 6.308 6.468 6.633 6.802 6.975 7.1537.336 7.523 7.716 8.115 8.536 8.754 7.214 7.434 7.6627.898 8.142 8.394 8.654 8.9239.2009.487 10.09 10.73 11.07 8.286 | 8.583 | 8.8929.2149.549 | 9.897 10.260 10.64 | 11.03 | 11.44 12.30 13.23 13.73 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 10.46 10.95 11.46 12.01 | 12.58 13.18 13.82 14.49 15.1915.94 17.55 19.34 20.30 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 12.68 | 13.41 14.19 15.03 15.92 16.87 17.89 18.98 20.14 21.38 24.13 27.27 29.00 13.81 14.68 15.62 16.63 17.71 18.88 20.14 21.50 22.95 24.52 28.03 32.09 34.35 14.95 | 15.97 17.09 18.29 | 19.60 21.02 22.55 24.21 26.02 27.98 32.39 37.58 40.50 16.10 17.29 18.60 20.02 21.58 23.28 25.13 27.15 29.3631.77 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 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 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 20.81 22.84 25.12 27.67 30.54 33.76 37.38 41.45 46.02 51.16 63.44 78.9788.21 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 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 24.47 27.30 30.5434.25 38.51 43.39 49.01 55.46 62.87 71.40 92.50 120.4 137.6 25.72 28.85 32.45 36.62 41.43 | 47.00 53.4460.89 69.53 79.54 104.6138.3 159.3 26.97 30.42 34.43 39.08 44.50 50.82 58.18 66.76 76.79 88.50 118.2158.7184.2 28.24 32.03 36.4641.65 47.73 54.86 63.25 73.11 84.70 98.35 133.3 181.9 212.8 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 30.82 35.34 40.71 47.08 54.6763.71 74.48 87.35 102.7 121.1 169.4 238.5 283.6 32.13 37.05 42.93 49.97 58.40 68.53 80.70 95.34 113.0 1342 190.7 272.9 327.1 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 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 48.8960.40 75.40 95.03 | 120.8154.8 199.6 259.1 337.9442.6 767.1 1,342 1,779 64.46 84.58 112.8 152.7 209.3 290.3 406.5 573.8 815.1 1,164 2,400 4,9957,218 Period 21 Period 22 Period 23 Period 24 Period 25 Period 26 Period 27 Period 28 Period 29 Period 30 Period 40 Period 50 Print Done