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Rapid Wave is considering purchasing a water park in Orlando, Florida, for $2,050,000. The new facility will generate annual net cash inflows of $530,000 for
Rapid Wave is considering purchasing a water park in Orlando, Florida, for $2,050,000. The new facility will generate annual net cash inflows of $530,000 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. Its owners want payback in less than five years and an ARR of 10% or more. Management uses a 12% hurdle rate on investments of this nature.
Reference Periods 1 2 2% 0.980 1.942 2.884 3.808 4.713 1% 0.990 1.970 2.941 3.902 4.853 5.795 6.728 7.652 8.566 9.471 4% 0.962 1.886 2.775 3.630 4.452 3% 0.971 1.913 2.829 3.717 4.580 5.417 6.230 7.020 7.786 8.530 12% 0.893 1.690 2.402 3.037 3.605 Present Value of Annuity of $1 5% 6% 8% 10% 0.952 0.943 0.926 0.909 1.859 1.833 1.783 1.736 2.723 2.673 2.577 2.487 3.546 3.465 3.312 3.170 4.329 4.212 3.993 3.791 5.076 4.917 4.623 4.355 5.786 5.582 5.206 4.868 6.463 6.210 5.747 5.335 7.108 6.802 6.247 5.759 7.722 7.360 6.710 6.145 14% 0.877 1.647 2.322 2.914 3.433 16% 0.862 1.605 2.246 2.798 3.274 3 18% 0.847 1.566 2.174 2.690 3.127 4 5 20% 0.833 1.528 2.106 2.589 2.991 6 7 8 5.601 6.472 7.325 8.162 8.983 5.242 6.002 6.733 7.435 8.111 4.111 4.564 4.968 5.328 5.650 3.889 4.288 4.639 4.946 5.216 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 9 10 11 12 13 14 15 10.368 9.787 9.253 8.760 8.306 7.887 7.139 11.255 10.575 9.954 9.385 8.863 8.384 7.536 12.134 11.348 10.635 9.986 9.394 8.853 7.904 13.004 12.106 11.296 10.563 9.899 9.295 8.244 13.865 12.849 11.938 11.118 10.380 9.712 8.559 18.046 16.351 14.877 13.590 12.462 11.470 9.818 22.023 19.523 17.413 15.622 14.094 12.783 10.675 25.808 22.396 19.600 17.292 15.372 13.765 11.258 32.835 27.355 23.115 19.793 17.159 | 15.046 11.925 6.495 6.814 7.103 7.367 7.606 5.938 6.194 6.424 6.628 6.811 5.453 5.660 5.842 6.002 6.142 5.029 5.197 5.342 5.468 5.575 4.656 4.793 4.910 5.008 5.092 4.327 4.439 4.533 4.611 4.675 20 25 30 40 8.514 9.077 9.427 9.779 7.469 7.843 8.055 8.244 6.623 6.873 7.003 7.105 5.929 6.097 6.177 6.233 5.353 5.467 5.517 5.548 4.870 4.948 4.979 4.997 Print Done i Reference Periods 2% 1 2 3% 1.000 2.030 3.091 4.184 5.309 1.000 2.020 3.060 4.122 5.204 4% 1.000 2.040 3.122 4.246 5.416 3 4 5 9.930 6 7 8 9 10 11 12 13 14 15 1% 1.000 2.010 3.030 4.060 5.101 6.152 7.214 8.286 9.369 10.462 11.567 12.683 13.809 14.947 16.097 6.308 7.434 8.583 9.755 10.950 12.169 13.412 14.680 15.974 17.293 6.468 7.662 8.892 10.159 11.464 12.808 14.192 15.618 17.086 18.599 6.633 7.898 9.214 10.583 12.006 13.486 15.026 16.627 18.292 20.024 Future Value of Annuity of $1 5% 6% 8% 10% 1.000 1.000 1.000 1.000 2.050 2.060 2.080 2.100 3.153 3.184 3.246 3.310 4.310 4.375 4.506 4.641 5.526 5.637 5.867 6.105 6.802 6.975 7.336 7.716 8.142 8.394 8.923 9.487 9.549 9.897 10.637 11.436 11.027 11.491 12.488 13.579 12.578 13.181 14.487 15.937 14.207 14.972 16.645 18.531 15.917 16.870 18.977 21.384 17.713 18.882 21.495 24.523 19.599 21.015 24.215 27.975 21.579 23.276 27.152 31.772 33.066 36.786 45.762 57.275 47.727 54.865 73.106 98.347 66.439 79.058 113.283 164.494 120.800 154.762 259.057 442.593 12% 1.000 2.120 3.374 4.779 6.353 8.115 10.089 12.300 14.776 17.549 20.655 24.133 28.029 32.393 37.280 14% 16% 18% 20% 1.000 1.000 1.000 1.000 2.140 2.160 2.180 2.200 3.440 3.506 3.572 3.640 4.921 5.066 5.215 5.368 6.610 6.877 7.154 7.442 8.536 8.977 9.442 10.730 11.414 12.142 12.916 13.233 14.240 15.327 16.499 16.085 17.519 19.086 20.799 19.337 21.321 23.521 25.959 23.045 25.733 28.755 32.150 27.271 30.850 34.931 39.581 32.089 36.786 42.219 48,497 37.581 43.672 50.818 59.196 43.842 51.660 60.965 72.035 91.025 115.380 146.628 186.688 181.871 249.214 342.603 471.981 356.787 530.312 790.948 1,181.882 1,342.025 2,360.757 4,163.213 7,343.858 20 25 30 40 22.019 28.243 34.785 48.886 24.297 32.030 40.568 60.402 26.870 36.459 47.575 75.401 29.778 41.646 56.085 95.026 72.052 133.334 241.333 767.091 Print Done Reference Present Value of $1 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 8% 0.926 0.857 0.794 0.735 0.681 10% 0.909 0.826 0.751 0.683 0.621 12% 0.893 0.797 0.712 0.636 0.567 14% 0.877 0.769 0.675 0.592 0.519 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 co 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 0.630 0.583 0.540 0.500 0.463 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 0.410 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 0.527 0.497 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 0.469 0.429 0.397 0.368 0.340 0.315 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 0.195 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 0.442 0.417 20 25 30 40 0.820 0.780 0.742 0.672 0.673 0.610 0.552 0.453 0.554 0.478 0.412 0.307 0.456 0.375 0.308 0.208 0.377 0.295 0.231 0.142 0.312 0.233 0.174 0.097 0.215 0.146 0.099 0.046 0.149 0.092 0.057 0.022 0.104 0.059 0.033 0.011 0.073 0.038 0.020 0.005 0.051 0.024 0.012 0.003 0.037 0.016 0.007 0.001 0.026 0.010 0.004 0.001 Print Done i Reference Future Value of $1 14% 1.140 Periods 1 2 3 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 8% 1.080 1.166 1.260 1.360 1.469 10% 1.100 1.210 1.331 1.464 1.611 12% 1.120 1.254 1.405 1.574 1.762 1.300 1.482 1.689 1.925 16% 1.160 1.346 1.561 1.811 2.100 18% 1.180 1.392 1.643 1.939 2.288 20% 1.200 1.440 1.728 2.074 2.488 4 or 1.265 1.316 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 1.340 1.407 1.477 1.551 1.629 1.419 1.504 1.594 1.689 1.791 1.772 1.949 2.144 2.358 2.594 1.974 2.211 2.476 2.773 3.106 2.436 2.826 3.278 3.803 4.411 2.700 3.185 3.759 4.435 5.234 2.986 3.583 4.300 5.160 6.192 1.194 1.230 1.267 1.305 1.344 1.384 1.426 1.469 1.513 1.558 1.587 1.714 1.851 1.999 2.159 2.332 2.518 2.720 2.937 3.172 2.195 2.502 2.853 3.252 3.707 4.226 4.818 5.492 6.261 7.138 11 12 13 14 15 1.369 1.423 1.480 1.539 1.601 1.665 1.732 1.801 1.116 1.127 1.138 1.149 1.161 1.243 1.268 1.294 1.319 1.346 1.710 1.796 1.886 1.980 2.079 1.898 2.012 2.133 2.261 2.397 2.853 3.138 3.452 3.797 4.177 3.479 3.896 4.363 4.887 5.474 5.117 5.936 6.886 7.988 9.266 6.176 7.288 8.599 10.147 11.974 7.430 8.916 10.699 12.839 15.407 20 25 30 40 1.220 1.282 1.348 1.489 1.486 1.641 1.811 2.208 1.806 2.094 2.427 3.262 2.191 2.666 3.243 4.801 2.653 3.386 4.322 7.040 3.207 4.292 5.743 10.286 4.661 6.848 10.063 21.725 6.727 10.835 17.449 45.259 9.646 17.000 29.960 93.051 13.743 26.462 50.950 188.884 19.461 40.874 85.850 378.721 27.393 62.669 143.371 750.378 38.338 95.396 237.376 1,469.772 Print Done Compute the payback period, the ARR, the NPV, and the approximate IRR of this investment. (If you use the tables to compute the IRR, answer with the closest interest rate shown in the tables.) (Round the payback period to one decimal place.) The payback period is years. (Round the percentage to the nearest tenth percent.) The ARR (accounting rate of return) is %. (Round your answer to the nearest whole dollar.) Net present value $ The IRR (internal rate of return) is between % and % Requirement 2. Recommend whether the company should invest in this project. Recommendation: Invest in the new facility or Donot Invest in the new facilityStep by Step Solution
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