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The local supermarket is considering investing in self-checkout kiosks for its customers. The self-checkout kiosks will cost S46,000 and have no residual value. Management expects
The local supermarket is considering investing in self-checkout kiosks for its customers. The self-checkout kiosks will cost S46,000 and have no residual value. Management expects the equipment to result in net cash savings over three years as customers gro accustomed to using the new technology: $17,000 the first year, $19,000 the second year $24,000 the third year. Assuming a 12% discount rate, what is the NPV of the kiosk investment? Is this a favorable investment? Why or why not? (Click the icon to view the present value of an annuity table)Click the icon to view the present value table.) (Click the icon to view the future value of an annuity table.)(Click the icon to view the future value table.) Round your answer to the nearest whole dollar. Use parentheses or a minus sign for negative net present values.) The NPV is $ The NPV is and therefore the kiosks favorable investment positive negative Reference Present Value of Annuity of $1 Periods 1% | 2% | 3% | 4% | 5% | 6% | 8% | 10% | 12% | 14% | 16% | 18% | 20% 10.990 0.980 0.971 0.9620.952 0.943 0.926 0.909 0.893 0.877 0.862 0.847 0.833 2 1.970 1.942 1.913 1.8861.8591.833 1.783 1.736 1.690 1.647 1.605 1.566 1.528 3 2.941 2.884 2.829 2.7752.7232.673 2.577 2487 2.402 2.322 2.246 2.174 2.106 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 54.853 4.713 4.580 4.4524.3294.212 3.9933.791 3.605 | 3.433 3.274 3.127 2.991 6 5.795 5.601 5.417 5.2425.0764.917 4.623 4.355 4.111 3.889 3.685 3.498 3.326 7 6.728 6.472 6.230 6.0025.7865.582 5.206 4.868 4.564 4.288 4.039 3.812 3.605 8 7.652 7.325 7.020 6.7336.4636.210 5.747 5.335 4.968 4.639 4.344 4.078 3.837 98.566 8.162 7.786 7.4357.1086.802 6.2475.759 5.328 4.946 4.607 4.303 4.031 10 9.4718.983 8.530 8.1117.7227.3606.710 6.145 5.650 5.216 4.833 4.494 4.192 11 10.368 9.787 9.253 8.760 8.3067.887 7.139 6.495 5.938 5.453 5.029 4.656 4.327 12 11.255 10.575 9.954 9.385 8.863 8.384 7.536 6.814 6.194 5.660 5.197 4.793 4.439 13 12.134 11.348 10.635 9.9869.394 8.853 79047.103 6.424 5.842 5.342 4.910 4.533 14 13.004 12.106 11.296 10.5639.8999.2958.2447.367 6.628 6.002 5.468 5.008 4.611 15 13.865 12.849 11.938 11.118 10.3809.7128.559 7.606 6.811 6.142 5.575 5.092 4.675 20 18.046 16.351 14.877 13.590 12.462 11.470 9.818 8.514 7469 6.623 5.929 5.353 4.870 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 30 25.808 22.396 19.600 17.292 15.372 13.765 11258 9.427 8.055 7.003 6.177 5.517 4.979 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 7 1 2 Reference Future Value of Annuity of $1 20% 1.000 2.180 2.200 Periods 10% 1.000 2.100 3.310 4.641 12% 1.000 2.120 16% 1.000 18% 1.000 1.000 2.010 2020 2030 3.091 1.000 1.000 3.060 5.204 1.000 1.000 2.060 1.000 2.080 3.246 4.506 5.867 1.000 2.140 2.160 4.921 6.610 8.536 2.040 2.050 3.030 4.060 3.506 3.572 3.640 5.215 4.246 5.416 6.633 7.898 9.214 4.310 4.375 5.637 6.975 8.394 9.89710.63711.436 12.300 13.23314.24015.32716.499 5.368 7.442 9.930 9.48710.089 10.730 11.41412.142 12.916 4.779 6.353 5.066 6.877 8.977 5.526 6.802 9.549 5.309 6.308 7.434 8.583 6.468 7.662 8.892 7.336 8.923 7.716 9.442 7.214 8.286 9.369 9.75510.15910.583 11.027 11.491 12.48813.57914.776 16.085 17.519 19.086 20.799 13 14 15 20 25 30 40 10.462 10.95011.464 12.006 12.578 13.1814.487 15.937 17.549 19.337 21.32123.52125.959 11.56712.169 2.808 13.486 14.207 14972 16.64518.531 20.655 23.045 25.733 28.755 32.150 12.683 13.41214.192 5.026 15.917 16.8708.977 21.384 24.133 27.271 30.85034.931 39.581 13.80914.68015.618 16.627 17.713 18.88221.495 24.523 28.029 32.089 36.78642.21948.497 14.947 15.97417.086 18.292 19.599 21.01524.215 27.975 32.393 37.581 43.67250.81859.196 16.097 17.29318.599 20.024 21.579 23.27627.152 31.772 37.280 43.842 51.66060.965 72.035 22.019 24.297 26.870 29.778 33.066 36.78645.76257.275 72.052 91.025 115.380146.628 186.688 28.24332.030 36.459 41.64647.727 54.865 73.10698.347 133.334181.871 249.214 342.603 471.981 34.785 40.56847.575 56.085 66.439 79.058113.283164.494 241.333356.787 530.312 790.9481,181.882 48.886 60.40275.401 95.026 120.800 154.762 259.057442.593 767.091 1,342.025 2,360.757 4,163.213 7,343.858 Reference Present Value of $1 Periods 1% | 2% | 3% | 4% | 5% | 6% | 8% | 10% | 12% | 14% | 16% | 18% | 20% 1 0.990 0.980 0.971 0.9620.9520.9430.926 0.909 0.893 0.877 0.862 0.847 0.833 2 0.980 0.961 0.943 0.9250.907 0.8900.857 0.826 0.797 0.769 0.743 0.718 0.694 3 0.971 0.942 0.915 0.8890.8640.8400.7940.751 0.712 0.675 0.6410.609 0.579 4 0.9610.924 0.888 0.855 0.823 0.792 0.735 0.683 0.636 0.592 0.552 0.516 0.482 5 0.951 0.906 0.863 0.8220.7840.747 0.6810.621 0.567 0.519 0.476 0.437 0.402 6 0.942 0.888 0.837 0.7900.746 0.705 0.6300.564 0.507 0.456 0.410 0.370 0.335 7 0.933 0.871 0.813 0.7600.710.665 0.583 0.513 0.452 0.400 0.3540.314 0.279 80.923 0.853 0.789 0.7310.6770.627 0.540 0.467 0.404 0.351 0.305 0.266 0.233 90.914 0.837 0.766 0.7030.6450.592 0.500 0.424 0.361 0.308 0.263 0.225 0.194 10 0.905 0.820 0.7440.676 0.614 0.5580.463 0.386 0.322 0.270 0.227 0.191 0.162 11 0.896 0.8040.722 0.650 0.5850.527 0.429 0.350 0.287 0.237 0.195 0.162 0.135 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 13 0.879 0.773 0.681 0.6010.530 0.469 0.368 0.290 0.229 0.182 0.145 0.116 0.093 14 0.870 0.758 0.661 0.5770.5050.442 0.340 0.263 0.205 0.160 0.125 0.099 0.078 15 0.861 0.743 0.6420.555 0.4810.417 0.315 0.239 0.183 0.140 0.108 0.084 0.065 20 0.820 0.673 0.554 0.456 0.377 0.312 0.215 0.149 0.1040.073 0.051 0.037 0.026 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 30 0.742 0.552 0.412 0.308 0.2310.174 0.099 0.057 0.033 0.020 0.012 0.007 0.004 40 0.672 0.453 0.307 0.208 0.142 0.097 0.046 0.022 0.011 0.005 0.003 0.001 0.001 1 1 2 2 2-200 1 1 2 2 23 300 160 102 400 4 47 742 12519 36 66 3 -11112 23345 678 10 11 7 83-7 8 4%-300 400 6 5 5 50 5 5 7 284 201 3 re 4 7 92471 48 8 012 4 rsi 5% 0 198 250 360 69 997 14 EST 999 59 32 18 20 997 72 001 8 2 4 tu % 629 2 % 05 10 .1 .2 207 3 8 8 rio- 1 12345 20 25 30 40 12345 6789
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