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Lolas company operates a chain of sandwich shops. 1 More info The company is considering two possible expansion plans. Plan A would open eight smaller
Lolas company operates a chain of sandwich shops.
1 More info The company is considering two possible expansion plans. Plan A would open eight smaller shops at a cost of $8,440,000. Expected annual net cash inflows are $1,550,000 for 10 years, with zero residual value at the end of 10 years. Under Plan B, Lolas Company would open three larger shops at a cost of $8,150,000. This plan is expected to generate net cash inflows of $1,000,000 per year for 10 years, the estimated useful life of the properties. Estimated residual value for Plan B is $980,000. Lolas Company uses straight-line depreciation and requires an annual return of 8%. Present Value of $1 7% 0.935 0.873 0.816 0.763 0.713 8% 0.926 0.857 0.794 0.735 0.681 9% 10% 0.917 0.909 0.842 0.826 0.772 0.751 0.708 0.683 0.650 0.621 12% 0.893 0.797 0.712 0.636 0.567 14% 15% 0.877 0.870 0.769 0.756 0.675 0.658 0.592 0.572 0.519 0.497 16% 18% 20% 0.862 0.847 0.833 0.743 0.718 0.694 0.641 0.609 0.579 0.552 0.516 0.482 0.476 0.437 0.402 0.666 0.623 0.582 0.544 0.508 0.630 0.583 0.540 0.500 0.463 0.596 0.564 0.507 0.547 0.513 0.452 0.502 0.467 0.404 0.460 0.424 0.361 0.422 0.386 0.322 0.456 0.400 0.351 0.308 0.270 0.432 0.410 0.370 0.335 0.376 0.354 0.314 0.279 0.327 0.305 0.266 0.233 0.284 0.263 0.225 0.194 0.247 0.227 0.191 0.162 0.475 0.444 0.415 0.388 0.362 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 Periods 1% 2% 3% 4% 5% 6% Period 1 0.990 0.980 0.971 0.962 0.952 0.943 Period 2 0.980 0.961 0.943 0.925 0.907 0.890 Period 3 0.971 0.942 0.915 0.889 0.864 0.840 Period 4 0.961 0.924 0.888 0.855 0.823 0.792 Period 5 0.951 0.906 0.863 0.822 0.784 0.747 Period 6 0.942 0.888 0.837 0.790 0.746 0.705 Period 7 0.933 0.871 0.813 0.760 | 0.711 0.665 Period 8 0.923 0.853 0.789 0.731 0.677 0.627 Period 9 0.914 0.837 0.766 0.703 0.645 0.592 Period 10 0.905 0.820 0.744 0.676 0.614 0.558 Period 11 0.896 0.8040.722 0.650 0.585 0.527 Period 12 0.887 0.788 0.701 0.625 0.557 0.497 Period 13 0.879 0.773 0.681 0.601 0.530 0.469 Period 14 0.870 0.758 0.661 0.577 0.505 0.442 Period 15 0.861 0.743 0.642 0.555 0.481 0.417 Period 16 0.853 0.728 0.623 0.534 0.458 0.394 Period 17 0.844 0.714 0.605 0.513 0.436 0.371 Period 18 0.836 0.700 0.587 0.494 0.416 0.350 Period 19 0.828 0.686 0.570 0.475 0.396 0.331 Period 20 0.820 0.673 0.554 0.456 0.377 0.312 Period 21 0.811 0.660 0.538 0.439 0.359 0.294 Period 22 0.803 0.647 0.522 0.422 0.342 0.278 Period 23 0.795 0.634 0.507 0.406 0.3260 262 Period 24 0.788 0.622 0.492 0.390 0.310 0.247 Period 25 0.780 0.610 0.478 0.375 0.295 0.233 Period 26 0.772 0.598 0.464 0.361 0.281 0.220 Period 27 0.764 0.586 0.450 0.347 0.268 0.207 Period 28 0.757 0.574 0.437 0.333 0.255 0.196 Period 29 0.749 0.563 0.424 0.321 0.243 0.185 Period 30 0.742 0.552 0.412 0.308 0.231 0.174 Period 40 0.672 0.453 0.307 0.208 0.142 0.097 Period 50 0.608 0.372 0.228 0.141 0.087 0.054 0.339 0.317 0.296 0.277 0.258 0.292 0.270 0.250 0.232 0.215 0.252 0.218 0.163 0.123 0.107 0.093 0.071 0.054 0.231 0.198 0.146 0.108 0.093 0.080 | 0.060 0.045 0.212 0.180 0.130 0.095 0.081 0.069 0.051 0.038 0.194 0.164 0.116 0.083 0.070 0.060 | 0.043 0.031 0.178 0.149 0.104 0.073 0.061 0.051 0.037 0.026 0.242 0.226 0.211 0.197 0.184 0.199 0.184 0.170 0.158 0.146 0.172 0.161 0.150 0.141 0.131 0.135 0.125 0.116 0.107 0.099 0.164 0.135 0.093 0.064 0.053 0.044 0.031 0.022 0.150 0.123 0.083 0.056 0.046 0.038 0.026 0.018 0.138 0.112 0.074 0.049 0.040 0.033 0.022 0.015 0.126 0.102 0.066 0.043 0.035 0.028 0.019 0.013 0.116 0.092 0.059 0.038 0.030 0.024 0.0160.010 0.106 0.084 0.053 0.033 0.026 0.021 0.014 0.009 0.098 0.076 0.047 0.029 0.023 0.018 0.0110.007 0.090 0.069 0.042 0.026 0.0200.0160.0100.006 0.082 0.063 0.037 0.022 0.017 0.014 0.008 0.005 0.075 0.057 0.033 0.020 0.015 0.012 0.007 0.004 0.032 0.022 0.011 0.005 0.0040.003 0.001 0.001 0.013 0.000 0.003 0.001 0.001 0.001 0.067 0.046 0.034 0.021 % 1% 5% 15% 0.870 1.626 2.283 2.855 3.352 16% 18% 20% 0.862 0.847 0.833 1.605 1.566 1.528 2.246 2.174 2.106 2.798 2690 2.589 3.274 3.127 2.991 3.685 3.498 3.326 4.039 3.812 3.605 4.344 4078 3.837 4.607 4.303 4.031 4.833 4.494 4.192 3.784 4.160 4.487 4.772 5.019 5.234 5.029 4.656 5.421 5.197 4.793 5.583 5.342 4910 5.724 5.468 5.008 5.847 5.575 5.092 4.327 4.439 4.533 4.611 4.675 Present Value of Ordinary Annuity of $1 Periods 2% 3% 4% 6% 7% 8% 9% 10% 12% 14% 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 Period 2 1.970 1.942 1.913 1.886 1.859 1.833 1.808 1.783 1.759 1.736 1.690 1.647 Period 3 2.941 2.884 2.829 2.775 2.723 2.673 2624 2.577 2531 2.487 2.4022322 Period 4 3.902 3.808 3.717 3.630 3.546 3.465 3.387 3.312 3.240 3.170 3.037 2914 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 Period 6 5.795 5.601 5.417 5.242 5.076 4.917 4.767 4.623 4.486 4.355 4.111 3.889 Period 7 6.728 6.472 6.230 6.002 5.786 5.582 5.389 5.206 5.033 4.868 4.564 4.288 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 Period 9 8.566 8.162 7.786 7.435 7.108 6.802 6.515 6.247 5.9955.759 5.3284946 Period 10 9.471 8.983 8.530 8.111 7.722 7.360 7.024 6.710 6.418 6.145 5.6505.216 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 Period 12 11.255 10.575 9.954 9.385 8.863 8.384 7.943 7.5367.161 | 6.814 6.1945.660 Period 13 12.134 11.348 10.635 9.986 9.394 8.853 8.358 7.9047.487 7.103 6.424 5.842 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 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 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 Period 17 15.562 14.292 13.166 12.166 11.274 10.477] 9.763 9.122 8.544 8.022 7.1206.373 Period 18 16 398 14.992 13.754 12.659 11.690 10.828 10.059 9.372 8.756 8.201 7.250 6.467 Period 19 17.226 15.678 14.32413.134 12.085 11.158 10.336 9.604 8.950 8.365 7.366 6.550 Period 20 18.046 16.351 14.877 13.590 12.462 11.470 10.594 9.818 9.129 8.514 7.469 6.623 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 Period 22 19.660 17.658 15.937 14.451 13.163 12.042 11.061 10.201 9442 3.772 7.645 6.743 Period 23 20.456 18.292 16.444 14.857 13.489 12.303 11.272 10.371 9.580 8.8837.718 6.792 Period 24 21.243 18.914 16.936 15.247 13.799 12.550 11.469 10.529 9707 8.9857.784 6.835 Period 25 22.023 19.523 17.413 15.622 14.094 12783 11.654 10.675 9.8239.077 7.8436.873 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 Period 27 23.560 20.707 18.327 16.330 14.643 13.211 11.987 10.935 10.027 9.237 7.943 6.935 Period 28 24.316 21.281 18.764 16.663 14.898 13.406 12.137 11.051 10.116 9.307 7.984 6.961 Period 29 25.066 21.844 19.188 16.984 15.141 13.591 12.278 11.158 10.1989.370 8.022 6.983 Period 30 25.808 22.396 19.600 17.292 15.372 13.765 12.409 11.258 10.274 9.427 8.055 7.003 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 Period 50 39.196 31.424 25.730 21.482 18.256 15.762 13.801 12.233 10.962 9.915 8.304 7.133 5.954 6.047 6.128 6.198 6.259 5.669 5.162 5.749 5 222 5.818 5.273 5.877 5.316 5.929 5.353 4.730 4.775 4.812 4.844 4.870 6.312 6.359 6.399 6.434 6.464 5.973 6.011 6.044 6.073 6.097 5.384 5.410 5.432 5.451 5.467 4.891 4.909 4.925 4.937 4.948 6.491 6.514 6.534 6.551 6.566 6.118 6.136 6.152 6.166 6.177 5.480 5.492 5.502 5.510 5.517 4956 4.964 4.970 4.975 4.979 6.642 6.233 5.548 4.997 6.661 6.246 5.554 4 999 Requirement 1. Compute the payback, the ARR, the NPV, and the profitability index of these two plans. Calculate the payback for both plans. (Round your answers to one decimal place, XX.) Payback years . = Plan A Plan B years Future Value of $1 1% 1.010 1.020 1.030 1.041 1.051 2% 3% 1.020 1.030 1.040 1.061 1.061 1.093 1.082 1.126 1.104 1.159 4% 5% 6% 7% 1.040 1.050 1.060 1.070 1.082 1.103 1.124 1.145 1.125 1.1581.191 1.225 1.170 1.216 1.262 1.311 1.217 1.276 1.338 1.403 8% 9% 10% 1.080 1.090 1.100 1.166 1.1881.210 1.260 1.295 1.331 1.360 1.412 1.464 1.469 1.539 1.611 12% 1.120 1.254 1.405 1.574 1.762 14% 15% 1.140 1.150 1.300 1.323 1.482 1.521 1.689 1.749 1.925 2.011 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 1.062 1.072 1.083 1.094 1.105 1.126 1.149 1.172 1.195 1.219 1.194 1.230 1.267 1.305 1.344 1.265 1.340 1.419 1.316 1.407 1.504 1.369 1.477 1.594 1.423 1.551 1.689 1.480 1.629 1.791 1.501 1.606 1.718 1.838 1.967 1.587 1.677 1.772 1.974 2.1952.313 1.714 1.828 1.949 2.211 2.502 2.660 1.851 1.993 2.144 2.476 2.853 3.059 1.999 2.172 2.358 2.773 3.252 3.518 2.159 2.367 2.594 3.106 3.707 4.046 1.116 1.127 1.138 1.149 1.161 1.243 1.268 1.294 1.319 1.346 1.384 1.426 1.469 1.513 1.558 1.539 1.710 1.898 2.105 2332 2.580 2.853 3.479 4.226 4.652 1.601 1.796 2.012 2.252 2518 2.813 3.138 3.896 4.818 5.350 1.665 1.886 2.133 | 2.410 2.720 3.066 3.452 4.363 5.492 6.153 1.732 1.980 2.261 2.579 2.937 3.342 3.798 4.887 6.2617.076 1.801 2.079 2.397 | 2.759 3.172 3.642 4.177 5.474 7.1388.137 1.173 1.184 1.196 1.208 1.220 1.373 1.400 1.428 1.457 1.486 1.605 1.873 2.183 2.540 2.952 3.426 3.970 4.595 6.130 8.1379.358 1.653 1.948 2.292 2.693 3.159 3.700 4.328 5.054 6.866 9.276 10.76 1.702 2.026 2407 2.8543.380 3.996 4.717 5.560 7.690 10.58 12.38 1.754 2.107 2.527 3.026 3.6174316 5.142 6.116 8.613 12.06 14.23 1.806 2.191 2.653 3.207 3.870 4.661 5.604 6.727 9.646 13.74 16.37 Period 16 Period 17 Period 18 Period 19 Period 20 Period 21 Period 22 Period 23 Period 24 Period 25 Period 26 Period 27 Period 28 Period 29 Period 30 Period 40 Period 50 1.232 1.245 1.257 1.270 1.282 10.80 15.67 18.82 12.10 17.86 21.64 13.55 20.36 24.89 15.18 23.21 28.63 17.00 26.46 | 32.92 1.516 1.860 2.279 2.786 3.400 4.141 5.034 6.1097.400 1.546 1.916 2.370 2.925 3.604 4.430 5.437 6.659 8.140 1.577 1.974 2.465 3.072 | 3.820 4.741 5.871 | 7.258 8.954 1.608 2.033 2.563 3.225 4.049 | 5.0726.341 7.911 9.850 1.641 2.094 2.666 3.386 4.292 5.427 6.848 8.623 10.83 1.673 2.157 2.772 3.556 4.549 5.807 7.396 9.399 11.92 1.707 2.221 2.883 3.733 4.822 6.214 7.988 10.25 13.11 1.741 2.288 2.999 3.920 5.112 6.649 8.627 11.17 14.42 1.776 2.357 3.119 4.116 5.418 7.114 9.317 12.17 15.86 1.811 2.427 3.243 4.3225.743 7.612 10.06 13.27 17.45 1.295 1.308 1.321 1.335 1.348 19.04 30.1737.86 21.32 34.39 43.54 23.88 39 20 50.07 26.75 44.69 57 58 29.96 50.95 | 66.21 1.489 2.208 3.262 4.801 7.040 10.29 14.97 21.72 31.41 45.26 93.05 188.9 267.9 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 Reference Future Value of Ordinary Annuity of $1 1% 2% 3% 4% 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 2020 2030 2040 2.050 2060 2070 2.080 2.090 2.100 2.120 2.140 2.150 3.0303.060 3.091 3.122 3.153 3.184 3.215 3.246 3.278 3.310 3.3743.440 3.473 4.0604.122 4.1844.246 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 5.7515.867 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 7.662 7.898 8.142 8.394 8.654 8.9239.2009.487 10.09 10.73 11.07 8.286 8.583 8.8929.214 9.549 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 15.19 15.94 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 17.8918.98 20.14 21.3824.13 27.2729.00 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 29.36 31.77 37.28 43.84 47.58 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 Period 21 Period 22 Period 23 Period 24 Period 25 Period 26 Period 27 Period 28 Period 29 Period 30 Period 40 Period 50 17.26 18.64 20.16 21.82 | 23.66 18.43 20.01 21.76 23.70 25.84 19.61 21.41 23.41 25.65 28.13 20.81 22.84 25.12 27.67 30.54 22.02 24.30 26.87 29.78 33.07 25.67 28.21 30.91 33.76 36.79 27.89 30.32 | 33.00 35.95 42.75 50.98 55.72 30.84 33.75 36.97 40.54 48.88 59.12 65.08 34.00 37.45 41.30 45.60 55.75 68.39 75.84 37.38 41.45 46.02 51.16 63.44 78.97 88.21 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 24.47 27.30 30.5434.25 38.51 43.39 25.72 28.85 32.45 36.62 41.43 47.00 26.97 30.42344339.08 44.50 50.82 28.24 32.03 36.4641.65 47.73 54.86 29.53 33.67 38.55 44.31 / 51.11 59.16 30.82 35.3440.71 47.08 54.67 | 63.71 32.13 37.05 42.93 49.97 | 58.40 68.53 33.45 38.79 45.2252.97 62.32 73.64 34.78 40.5747.58 56.08 66.44 79.06 44.87 50.42 56.76 64.00 81.70104.8 118.8 49.01 55.46 62.87 71.40 92.50 120.4 137.6 53.44 60.89 69.53 79.54 104.6138.3 159.3 58.18 66.76 | 76.7988.50 118.2158.7184.2 63.25 73.11 84.70 98.35 133.3181.9 212.8 68.68 79.95 93.32 109.2 150.3 208.3245.7 74.48 87.35 102.7 121.1 169.4 238.5 283.6 80.70 95.34 113.0 134.2 190.7 272.9 327.1 87.35 104.0 124.1 1486 214.6 312.1 | 377.2 94 46 113.3 136.3 164.5241.3356.8 434.7 199.6 259.1 337.94426767.1 1,342 1,779 406.5 573.8 815.11.164 2,400 4,9957,218 154.8 48.89 60.40 75.40 95.03 120.8 64.46 84.58 112.8 152.7 209.3 290.3Step by Step Solution
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