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The local supermarket is considering investing in self-checkout kiosks for its customers. The self-checkout kiosks will cost $46,500 and have no residual value. Management
The local supermarket is considering investing in self-checkout kiosks for its customers. The self-checkout kiosks will cost $46,500 and have no residual value. Management expects the equipment to result in net cash savings over three years as customers grow accustomed to using the new technology: $17,000 the first year; $22,000 the second year; $32,000 the third year. Assuming a 14% discount rate, what is the NPV of the kiosk investment? Is this a favorable investment? Why or why not? View the present value of $1 table. View the future value of $1 table. View the present value of annuity of $1 table. View the future value of annuity of $1 table. (Round your answer to the nearest whole dollar. Use parentheses or a minus sign for negative net present values.) The NPV is Present Value of $1 Present Value of $1 Periods 1% 2% 3% Period 1 0.990 0.980 0.971 Period 2 0.980 Period 3 0.971 Period 4 0.961 Period 5 0.951 Period 6 0.942 0.822 4% 5% 6% 8% 0.962 0.952 0.943 0.926 0.961 0.943 0.925 0.907 0.890 0.857 0.942 0.915 0.889 0.864 0.840 0.794 0.924 0.888 0.855 0.823 0.792 0.735 0.906 0.863 0.681 0.784 0.747 10% 12% 14% 16% 18% 20% 0.909 0.893 0.877 0.862 0.847 0.833 0.826 0.797 0.769 0.743 0.718 0.694 0.751 0.712 0.675 0.641 0.609 0.579 0.683 0.636 0.592 0.552 0.516 0.482 0.621 0.567 0.519 0.476 0.437 0.402 0.888 0.837 0.790 0.746 Period 7 0.933 0.871 0.813 0.760 0.705 0.711 0.665 Period 8 0.923 0.853 0.789 0.731 0.677 0.627 0.540 0.630 0.564 0.507 0.456 0.583 0.513 0.452 0.400 0.467 0.404 0.351 0.410 0.354 0.370 0.335 0.314 0.279 0.305 0.266 0.233 Period 9 0.914 0.837 0.766 0.703 0.645 0.592 Period 10 0.905 0.820 0.744 0.676 0.500 0.614 0.558 0.463 0.424 0.361 0.308 0.386 0.322 0.263 0.225 0.194 0.270 0.227 0.191 0.162 Period 11 0.896 0.804 0.722 0.650 Period 12 0.887 0.585 0.527 0.788 0.701 0.625 0.557 0.497 0.429 0.350 0.287 0.195 0.397 0.319 0.237 0.162 0.135 0.257 0.208 0.168 0.137 0.112 Period 13 0.879 Period 14 0.870 Period 15 0.861 0.773 0.681 0.601 0.530 0.758 0.661 0.577 0.743 0.642 0.555 0.469 0.368 0.290 0.229 0.505 0.442 0.340 0.263 0.205 0.481 0.417 0.315 0.239 0.183 0.182 0.145 0.116 0.093 0.160 0.125 0.099 0.078 0.140 0.108 0.084 0.065 Period 20 0.820 0.673 Period 25 0.780 0.610 Period 30 0.742 0.552 Period 40 0.672 0.453 0.554 0.456 0.377 0.215 0.478 0.375 0.295 0.412 0.308 0.231 0.174 0.307 0.208 0.142 0.097 0.312 0.149 0.104 0.233 0.146 0.092 0.059 0.038 0.024 0.099 0.057 0.033 0.020 0.012 0.046 0.022 0.011 0.005 0.003 0.073 0.051 0.037 0.026 0.016 0.010 0.007 0.001 0.001 0.004 Print Done Present Value of Annuity of $1 Present Value of Annuity of $1 Period 25 22.023 Periods 1% 2% 3% 4% Period 1 0.990 0.980 0.971 0.962 Period 2 1.970 1.942 1.913 1.886 Period 3 2.941 2.884 2.829 2.775 Period 4 3.902 3.808 3.717 3.630 Period 5 4.853 4.713 4.580 4.452 Period 6 5.795 5.601 5.417 5.242 Period 7 6.728 6.472 6.230 6.002 Period 8 7.652 7.325 7.020 6.733 Period 9 8.566 8.162 7.786 7.435 Period 10 9.471 8.983 8.530 8.111 Period 11 10.368 9.787 9.253 8.760 8.306 7.887 7.139 6.495 5.938 Period 12 11.255 10.575 9.954 9.385 8.863 8.384 7.536 6.814 6.194 Period 13 12.134 11.348 10.635 9.986 9.394 8.853 7.904 7.103 6.424 Period 14 13.004 12.106 11.296 10.563 9.899 9.295 8.244 7.367 6.628 Period 15 13.865 12.849 11.938 11.118 10.380 9.712 8.559 7.606 Period 20 18.046 16.351 14.877 13.590 12.462 11.470 9.818 8.514 19.523 17.413 15.622 14.094 12.783 10.675 9.077 7.843 Period 30 25.808 22.396 19.600 17.292 15.372 13.765 11.258 9.427 8.055 Period 40 32.835 27.355 23.115 19.793 17.159 15.046 11.925 9.779 8.244 5% 6% 8% 10% 12% 14% 0.952 0.943 0.926 0.909 0.893 0.877 16% 18% 20% 0.862 0.847 0.833 2.723 1.859 1.833 1.783 1.736 1.690 2.673 2.577 2.487 2.402 1.647 1.605 1.566 1.528 2.322 2.246 2.174 2.106 3.546 3.465 3.312 3.170 3.037 4.329 4.212 3.993 3.791 3.605 2.914 2.798 2.690 2.589 3.433 3.274 3.127 2.991 5.076 4.917 4.623 4.355 4.111 5.786 3.889 3.685 3.498 3.326 5.582 5.206 4.868 4.564 4.288 4.039 3.812 3.605 6.463 6.210 5.747 5.335 4.968 4.639 4.344 4.078 3.837 7.108 6.802 6.247 5.759 5.328 7.722 7.360 6.710 6.145 5.650 4.946 4.607 4.303 4.031 5.216 4.833 4.494 4.192 5.453 5.029 4.656 4.327 5.660 5.197 4.793 4.439 5.842 5.342 4.910 4.533 6.002 5.468 5.008 4.611 6.811 6.142 5.575 5.092 4.675 7.469 6.623 5.929 5.353 4.870 7.003 7.105 6.873 6.097 5.467 4.948 6.177 5.517 4.979 6.233 5.548 4.997 Print Done Future Value of $1 Future Value of $1 Periods 1% 2% 3% 4% 5% Period 1 1.010 1.020 1.030 1.040 Period 2 1.020 1.040 1.061 1.082 1.103 Period 3 1.030 1.061 1.093 1.125 1.158 6% 8% 10% 1.050 1.060 1.080 1.100 1.120 1.140 1.160 1.124 1.166 1.210 1.254 1.300 1.346 1.191 1.260 1.331 1.405 1.482 1.561 1.643 12% 14% 16% 18% 20% 1.180 1.200 1.392 1.440 1.728 Period 4 1.041 1.082 1.126 1.170 1.216 Period 5 1.051 1.104 1.159 1.217 1.276 1.338 1.469 1.262 1.360 1.464 1.574 1.689 1.811 1.939 1.611 1.762 1.925) 2.100 2.074 2.288 2.488 Period 6 1.062 1.126 1.194 1.265 1.340 1.419 1.587 Period 7 1.072 1.149 1.230 1.316 1.407 1.504 1.714 Period 8 1.083 1.172 1.267 1.369 1.477 1.594 Period 91 1.094 1.195 1.305 1.423 1.551 1.689 Period 10 1.105 1.219 1.344. 1.480 1.629 1.791 1.772 1.974 2.195 2.700 1.949 2.211 2.502 2.826 3.185 3.583 1.851 2.144 2.476 2.853. 3.278 3.759 4.300 1.999 2.358 2.773 3.252 3.803 2.159 2.594 3.106 3.707 2.436 2.986 4.435 5.160 4.411 5.234 6.192 Period 11 1.116 1.243 1.384 1.539 1.710 1.898 2.332 2.853 3.479 4.226 5.117 6.176 7.430 Period 12 1.127 1.268 Period 13 1.138 1.294 1.469 Period 14. 1.149 1.319 Period 15 1.161 1.346 Period 20 1.220 1.486 Period 25 1.282 1.641 Period 30 Period 40 1.348 1.489 1.811 2.208 1.426 1.601 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 3.138 3.896 3.452 1.796. 2.012 2.518 1.886 2.133 2.720 4.363 1.980 2.261 2.937 3.797 4.887 6.261 2.079 2.397 3.172 4.177 5.474 7.138 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 4.818 5.936 7.288 8.916 5.492 6.886 8.599 10.699 7.988 10.147 9.266 12.839 11.974 15.407 Print Done Future Value of Annuity of $1 Future Value of Annuity of $1 Periods 1% 2% 3% 4% 5% Period 1 1.000 1.000 1.000 1.000 6% 8% 10% 1.000 1.000 1.000 1.000 1.000 12% 14% 16% 18% 20% 1.000 1.000 1.000 1.000 Period 2 2.010 2.020 2.030 2.040 2.050 2.060 2.080 2.100 2.120 2.140 2.160 2.180 2.200 Period 3 3.030 3.060 3.091 3.122 3.153 3.184 3.246 3.310 3.374 3.440 3.506 3.572 3.640 Period 4 4.060. 4.122 4.184 4.246 4.310 4.375 4.506 4.641 4.779 4.921 5.066 5.215 5.368 Period 5 5.101 5.204 5.309 5416 5.526 5.637 5.867 6.105 6.353 6.610 6.877 7.154 7.442 Period 6 6.152 6.308 6.468 6.633 6.802 6.975 7.336 7.716 8.115 8.536 8.977 9.442 9.930 Period 71 7.214 Period 10 7.434 7.662 Period 81 8.286 8.583 8.892 9.214 Period 9 9.369 9.755 10.159 10.583 10.462 10.950 11.464 12.006 7.898 8.142 8.394 9.549 9.897 8.923 9.487 10.089 10.637 11.436 12.300 10.730 11.414 12.142 12.916 13.233 14.240 15.327 16.499 11.027 11.491 Period 11 Period 12 12.488 13.579 14.776 12.578 13.181 14.487 15.937 17.549 11.567 12.169 12.808 13.486 14.207 14.972 16.645 18.531 20.655 12.683 13.412 14.192 15.026 15.917 16.870 18.977 21.384 24.133 Period 13 13.809 14.680 15.618 16.627 17.713 18.882 21.495 24.523 28.029 Period 14 14.947 15.974 17.086 18.292 19.599 21.015 24.215 27.975 32.393 Period 15 16.097 17.293 18.599 20.024 21.579 23.276 27.152 31.772 37.280 Period 20 22.019 24.297 26.870 29.778 33.066 36.786 45.762 57.275 72.052 91.025 Period 25 28.243 32.030 36.459 41.646 47.727 54.865 73.106 98.347 133.334 181.871 Period 30 34.785 40.568 47.575 56.085 66.439 79.058 113.283 164.494 241.333 356.787 790.948 1,181.882 Period 40 48.886 60402 75.401 95.026 120.800 154.762 259.057 442.593 767.091 1,342.025 2,360.757 4,163.213 7,343.858 16.085 19.337 17.519 21.321 19.086 20.799 23.521 25.959 23.045 27.271 25.733 28.755 32.150 30.850 34.931 39.5811 32.089 37.581 43.842 51.660 36.786 42.219 48.497 43.672 50.818 59.196 60.965 72.035 115.380 146.628 186.688 249.214 342.603 471.981 530.312 Print Done
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