Splash World is considering purchasing a water park in Orlando, Florida, for $2,100,000. The new facility will generate annual net cash inflows of $500,000 for ten years. Engineers estimate that the facility will remain useful for ten 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 12% or more. Management uses a 10% hurdle rate on investments of this nature. (Click the icon to view the present value annuity table.) (Click the icon to view the present value table.) (Click the icon to view the future value annuity table.) (Click the icon to view the future value table.) Read the requirements. Requirement 1. 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 (in years) is - i Reference 2% 4% 5% Present Value of Annuity of $1 ariods 1% 3% 6% 8% 10% 12% 14% 16% 18% 20% riod 10.990 0.980 0.971 0.962 0.952 0.943 0.926 0.909 0.893 0.877 0.862 0.847 0.833 riod 2 1.970 1.942 1.913 | 1.886 1.859 1.833 1.783 1.736 1.690 1.647 1.605 1.566 1.528 riod 3 2.941 2.884 2.829 2.775 2.723 2.673 2.577 2.487 2.402 2.322 2.246 2.174 2.106 riod 4 3.902 3.808 3.717 3.630 3.546 3.465 3.312 3.170 3.037 2.914 2.798 2.690 2.589 riod 5 4.853 4.713 4.580 4.452 4.329 4.212 3.993 3.791 3.605 3.433 3.274 3.127 2.991 riod 6 5.795 5.601 5.417 5.242 5.076 4.917 4.623 4.355 4.111 3.889 3.685 3.498 3.326 rod 7 6.728 6.472 6.230 6.002 5.786 5.5825.206 4.868 4.564 4.288 4.039 3.812 3.605 rod 8 7.652 7.325 7.020 6.7336.463 6.210 5.747 5.335 4.968 4.6394.344 4.078 3.837 riod 9 8.566 8.162 7.786 7.435 7.108 6.8026.247 5.759 5.328 4.946 4.607 4.303 4.031 riod 10 9.471 8.983 8.530 8.111 7.722 7.360 6.710 6.145 5.650 5.216 4.833 4.494 4.192 Hod 11 10.368 9.787 9.253 8.760 8.306 7.8877.139 6.495 5.938 5.453 5.0294.656 4.327 Hod 12 11.255 10.575 9.954 9.3858.8638.384 7.536 6.814 6.194 5.660 5.197 4.793 4.439 Hod 13 12.134 11.348 10.635 9.986 9.394 8.8537.904 7.1036.424 5.842 5.342 4.910 4.533 riod 14 13.004 12.106 11.296 10.563 9.899 9.295 8.244 7.3676.628 6.002 5.468 5.008 4.611 riod 15 13.865 12.849 11.938 11.118 10.380 9.712 8.559 7.606 6.811 6.142 5.575 5.092 4.675 riod 20 18.046 16.351 14.877 13.590 12.462 11.470 9.818 8.5147.469 6.623 5.929 5.353 4.870 riod 25 22.023 19.523 17.413 15.622 14.094 12.783 10.675 9.077 7.843 6.873 6.097 5.467 4.948 riod 30 25.808 22.396 19.600 17.292 15.372 13.765 11.258 9.427 8.055 7.003 6.177 5.517 4.979 Hod 40 32.835 27.355 23.115 19.793 17.159 15.046 11.925 9.779 8.244 7.105 6.233 5.548 4.997 ER Print Done i Reference Future Value of Annuity of $1 Periods 1% 2% 3% 4% 5% 6% 8% 10% 12% 14% 16% Period 1 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 Period 2 2.010 2.020 2030 2.040 2.050 2.060 2.080 2.100 2.120 2.140 2.160 Period 3 3.030 3.069 3.091 3.122 3.153 3.184 3.246 3.310 3.374 3.440 3.506 Period 4 4.0604.122 4.184 4.246 4.310 4.375 4.506 4.641 4.779 4.921 5.066 Period 5 5.101 5.204 5.309 5.416 5.526 5.637 5.867 6.105 6.353 6.610 6.877 Period 6 6.152 6.308 6.468 6.633 6.802 6.975 7.336 7.716 8.115 8.536 8.977 Period 7 7.214 7.434 7.662 7.898 8.142 8.394 8.923 9.487 10.089 10.730 11.414 Period 8 8.286 8.583 8.8929.214 9.549 9.897 10.637 11.436 12.300 13.233 14.240 Period 9 9.369 9.755 10.159 10.583 11.027 11.491 12.488 13.579 14.776 16.085 17.519 Period 10 10.462 10.950 11.464 12.006 12.578 13.181 14.48715.937 17.549 19.337 21.321 Period 11 11.567 12.169 12.808 13.486 14.207 14.972 16.645 18.531 20.655 23.045 25.733 Period 12 12.683 13.412 14.192 15.026 15.917 16.870 18.977 21.384 24.133 27 271 30.850 Period 13 13.809 14.680 15.618 16.627 17.713 18.882 21.495 24.523 28.029 32.089 36.786 Period 14 14.947 15.974 17.086 18.292 19.599 21.015 24 215 27.975 32.393 37.581 43.672 Period 15 16.097 17.293 18.599 20.024 21.579 23.276 27.152 31.772 37.280 43.842 51.660 Period 20 22.019 24.297 26.870 29.778 33.066 36.786 45.762 57.275 72.052 91.025 115.380 Period 25 28.243 32.030 36.459 41.646 47.727 54.865 73.106 98.347 133.334 181.871 249.214 Period 30 34.785 40.568 47.575 56.085 66.43979.058 113.283 164.494 241.333 356.787 530.312 Period 40 48.886 60.402 75.401 95.026 120.800 154.762 259.057 442.593 767.091 1,342.025 2,360.757 Print Done X Future Value of Annuity of $1 5% 6% 8% 10% 12% 14% 16% 18% 20% 00 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 40 2.050 2.060 2.080 2.100 2.120 2.140 2.160 2.180 2.200 22 3.153 3.184 3.246 3.310 3.374 3.440 3.506 3.572 3.640 46 4.310 4.375 4.506 4.641 4.779 4.921 5.066 5.215 5.368 16 5.526 5.637 5.867 6.105 6.353 6.610 6.877 7.154 7.442 533 6.802 6.975 7.336 7.716 8.115 8.536 8.377 9.442 9.930 398 8.142 8.394 8.923 9.487 10.089 10.730 11.414 12.142 12.916 214 9.549 9.897 10.637 11.436 12.300 13.233 14.240 15.327 16.499 .583 11.027 11.491 12.488 13.579 14.776 16.085 17.519 19.086 20.799 2.006 12.578 13.181 14.487 15.937 17.549 19.337 21.321 23.521 25.959 3.486 14.207 14.972 16.645 18.531 20.655 23.045 25.733 28.755 32.150 27.271 5.026 15.917 16.870 18.977 21.384 24.133 30.850 34.931 39.581 32.089 36.786 42.219 48.497 6.627 17.713 18.882 21.495 24.523 28.029 37.581 43.672 50.818 59.196 8.292 19.599 21.015 24.215 27.975 32.393 43.842 51.660 60.965 72.035 20.024 21.579 23.276 27.152 31.772 37.280 91.025 115.380 146.628 186.688 29.778 33.066 36.786 45.762 57.275 72.052 249.214 342.603 471.981 41.646 47.727 54.865 73.106 98.347 133.334 181.871 530.312 790.948 1,181.882 56.085 66.439 79.058 113.283 164.494 241.333 356.787 95.026 120.800 154.762 259.057 442.593 | 767.091 1,342.025 2,360.757 4.163.213 7,343.858 2 Print Done Reference Present Value of $1 ods 1% 2% 3% 4% 5% 6% 8% 10% 12% 14% 16% 18% 20% d 1 0.990 0.980 0.971 0.962 0.952 0.943 0.926 0.909 0.893 0.877 0.862 0.847 0.833 d 2 0.980 0.961 0.943 0.925 0.907 0.890 0.857 0.826 0.797 0.769 0.743 0.718 0.694 d 3 0.971 0.942 0.915 0.889 0.864 0.840 0.794 0.751 0.712 0.675 0.641 0.609 0.579 d 4 0.961 0.924 0.888 0.855 0.823 0.792 0.735 0.683 0.636 0.592 0.552 0.516 0.482 d5 0.951 0.906 0.863 0.822 0.784 0.747 0.681 0.621 0.567 0.519 0.476 0.437 0.402 d 6 0.942 0.888 0.837 0.790 0.746 0.705 0.630 0.564 0.507 0.456 0.410 0.370 0.335 d 7 0.933 0.871 0.813 0.7600.711 0.665 0.583 0.513 0.4520.400 0.354 0.314 0.279 d 8 0.923 0.853 0.789 0.731 0.677 0.627 0.540 0.467 0.404 0.3510.305 0.266 0.233 d 9 0.914 0.837 0.766 0.703 0.645 0.592 0.500 0.424 0.361 0.308 0.263 0.225 0.194 d 10 0.905 0.820 0.744 0.676 0.614 0.558 0.463 0.386 0.322 0.270 0.227 0.191 0.162 d 11 0.896 0.804 0.722 0.650 0.585 0.527 0.429 0.350 0.287 0.237 0.195 0.162 0.135 d 12 0.887 0.788 0.701 0.625 0.557 0.497 0.397 0.319 0.257 0.208 0.168 0.137 0.112 d 13 0.879 0.773 0.681 0.601 0.530 0.4690.368 0.290 0.229 0.182 0.145 0.116 0.093 d 14 0.870 0.758 0.661 0.577 0.505 0.442 0.340 0.263 0.205 0.160 0.125 0.099 0.078 d 15 0.861 0.743 0.642 0.555 0.481 0.417 0.315 0.239 0.183 0.140 0.108 0.084 0.065 d 20 0.820 0.673 0.554 0.456 0.377 0.312 0.215 0.149 0.104 0.073 0.051 0.037 0.026 d 25 0.780 0.610 0.478 0.375 0.295 0.233 0.146 0.092 0.059 0.038 0.024 0.016 0.010 d 30 0.742 0.552 0.412 0.308 0.231 0.174 0.099 0.057 0.033 0.0200.012 0.007 0.004 d 40 0.672 0.453 0.307 0.2080.142 0.097 0.046 0.022 0.011 0.005 0.003 0.001 0.001 Print Done Reference 1 Future Value of $1 1.3 Periods Period 1 Period 2 Period 3 Period 4 Period 5 1% 2% 1.010 1.020 1.020 1.040 1.030 1.061 1.041 1.082 1.051 1.104 2.2 Period 6 Period 7 Period 8 Period 9 Period 10 Period 11 Period 12 Period 13 Period 14 Period 15 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 1.220 1.486 1.282 1.641 1.348 1.811 1.489 2.208 3% 4% 1.030 1.040 1.061 1.082 1.093 1.125 1.126 1.170 1.159 1.217 1.194 1.265 1.230 1.316 1.267 1.369 1.305 1.423 1.344 1.480 1.384 1.539 1.426 1.601 1.469 1.665 1.513 1.732 1.558 1.801 1.806 2.191 2.094 2.666 2.427 3.243 3.262 4.801 5% 6% 8% 10% 12% 14% 16% 18 1.050 1.060 1.080 1.100 1.120 1.140 1.160 1.103 1.124 1.166 1.210 1.254 1.300 1.346 1.158 1.191 1.260 1.331 1.405 1.482 1.561 1.6 1.216 1.262 1.360 1.464 1.574 1.689 1.811 1.9 1.276 1.338 1.469 1.611 1.762 1.925 2.100 1.340 1.419 1.587 1.772 1.974 2.195 2.436 2.7 1.407 1.504 1.714 1.949 2.211 2.502 2.826 3.1 1.477 1.594 1.851 2.144 2.476 2.853 3.278 3.7 1.551 1.689 1.999 2.3582.773 3.252 3.803 4.4 1.629 1.791 2.159 2.594 3.106 3.707 4.411 5.2 1.710 1.898 2.332 2.853 3.479 4.226 5.117 6.1 1.796 2.012 2.518 3.138 3.896 4.818 5.936 7.2 1.886 2.133 2.720 3.452 4.363 5.492 6.886 8.5 1.980 2.261 2.937 3.797 4.887 6.261 7.988 10. 2.079 2.397 3.172 4.177 5.474 7.138 9.266 11.9 2.653 3.207 4.661 6.727 9.646 13.743 19.461 27. 3.386 4.292 6.848 10.83517.000 26.462 40.874 62. 4.322 5.743 10.063 17.449 29.960 50.950 85.850 143. 7.040 10.286 21.725 45.259 93.051 188.884 378.721 750. Period 20 Period 25 Period 30 Period 40 Print Done Future Value of $1 5% 6% 8% 10% 12% 14% 16% 18% 20% 1.050 1.060 1.080 1.100 1.120 1.140 1.160 1.180 1.200 1.103 1.124 1.166 1.210 1.254 1.300 1.346 1.392 1.440 1.158 1.191 1.260 1.331 1.405 1.482 1.561 1.643 1.728 1.216 1.262 1.360 1.464 1.574 1.689 1.811 1.939 2.074 1.276 1.338 1.469 1.611 1.762 1.925 2.100 2.288 2.488 1.340 1.419 1.587 1.772 1.974 2.195 2.436 2.700 2.986 1.407 1.504 1.714 1.949 2.211 2.502 2.826 3.185 3.583 1.477 1.594 1.851 2.144 2.476 2.853 3.278 3.759 4.300 1.551 1.689 1.999 2.358 2.773 3.252 3.803 4.435 5.160 1.629 1.791 2.159 2.594 3.106 3.707 4.411 5.234 6.192 1.710 1.898 2.332 2.853 3.479 4.226 5.117 6.176 7.430 1.796 2.012 2.518 3.138 3.896 4.818 5.936 7.288 8.916 1.886 2.133 2.720 3.452 4.363 5.492 6.886 8.599 10.699 1.980 2.261 2.937 3.797 4.887 6.261 7.988 10.147 12.839 2.079 2.397 3.172 4.177 5.474 7.138 9.266 11.974 15.407 2.653 3.207 4.661 6.727 9.646 13.743 19.461 27.393 38.338 3.386 4.292 6.848 10.835 17.000 26.462 40.874 62.669 95.396 4.322 5.743 10.063 17.449 29.960 50.950 85.850 143.371 237.376 7.040 10.286 21.725 45.259 93.051 188.884 378.721 750.378 1,469.772 ? Print Done icon to view the Requirements 1. 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.) 2. Recommend whether the company should invest in this project. Print Done