Barry the Buc is considering investing in a franchise in a fast-food chain. He would have to purchase equipment costing $420,000 to equip the outlet and invest an additional $30,000 for inventories and other working capital needs. Other outlets in the fast-food chain have an annual net cash inflow of about $120,000. Barry would close the outlet in 5 years. He estimates that the equipment could be sold at that time for about 10% of its original cost and the working capital would be released for use elsewhere. Barry's required rate of return is 8%. (Ignore income taxes.) Use the tables provided by the professor, to determine the appropriate discount factor(s) using the tables provided. Required: What is the investment's net present value? Is this an acceptable investment? EXHIBIT 13B-1 Present Value of St. Periods 4% 5% 6% 7% 8% 9% 10% 11% 12% 13% 14% 15% 16% 17% 18% 19% 20% 21% 22% 23 24 25 1 0.962 0.952 0.943 0.935 0.926 0.917 0.909 0.901 0.893 0.885 0.877 0.870 0.862 0.855 0.847 0.540 0.833 0.826 0.820 0.813 0.806 0.800 2 0 .925 0.907 0.890 0.873 0857 0.842 0.826 0812 0.797 0.783 0 769 0.756 0.743 0.731 0.718 0.706 0.694 0.683 0.672 0.561 0 650 0 540 3 O 889 0.864 0.840 08 16 0.794 0.772 0.751 0.731 0.712 0.693 0675 0.658 0.641 0624 0.609 0.593 0.579 0.564 0551 0.537 0.524 0512 4 O 855 0.823 0.792 0.763 0.735 0.708 0683 0659 0636 0.613 0.592 0 572 0552 0534 0516 0499 0.482 0.467 0.451 0437 0423 0410 5 0.822 0.784 0.747 0.713 0.681 0.650 0.621 0.593 0.567 0.543 0.519 0.497 0.476 0.456 0.437 0.419 0.402 0.386 0.370 0.355 0.341 0.328 6 0.790 0.746 0.705 0.666 0.630 0.596 0.564 0.535 0.507 0.480 0.456 0.432 0.410 0.390 0.370 0.352 0.335 0.319 0.303 0.289 0.275 0.262 7 0.750 0.711 0 665 0.623 0.583 0.547 0513 0482 0.452 0425 0.400 0.376 0.354 0333 0314 0296 0 279 0 263 0249 0235 0 222 0210 8 0.731 0.677 0.627 0.582 0 540 0.502 0.467 0.434 0.404 0.376 0.351 0.327 0305 285 0266 0 2490 233 0218 0204 0 191 0.179 0 168 9 0.703 0.545 0.592 0 544 0.500 0.460 0424 0 391 0361 0.333 0.208 0.284 0 263 0243 0225 0 209 0.194 0 180 0167 0155 0.144 0.134 0.676 0.614 0.558 0.508 0.463 0.422 0.386 0.352 0.322 0.295 0.270 0.247 0.227 0.208 0.191 0.176 0.162 0.149 0.137 0.126 0.116 0.107 11 0.650 0.585 0.527 0.475 0.429 0.388 0.350 0.317 0.287 0.261 0.237 0.215 0.195 0.17 0.162 0.148 0.135 0.123 0.112 0.103 0.094 0.086 12 0.625 0.557 0.497 0.444 0.397 0.356 0.319 0.286 0.257 0.231 0.208 0.187 0.168 0.152 0.137 0.124 0.112 0.102 0.092 0.083 0.076 0.069 13 0.601 0.530 0.469 0.415 0.368 0.326 0.290 0.258 0.229 0.204 0.182 0.163 0.145 0.130 0.116 0.104 0.093 0.084 0.075 0.068 0.061 0.055 14 0.577 0.505 0.442 0.388 0.340 0.299 0.263 0.232 0.205 0.181 0.160 0.141 0.125 0.111 0.099 088 0.078 0.069 0.062 0.055 0.049 0.044 0.555 0.481 0.417 0.362 0.315 0.275 0.239 0.209 0.183 0.160 0.140 0.123 0.108 0.095 0.014 0.074 0.065 0.057 0.051 0.045 0.040 0.035 17 18 19 20 0.534 0.458 0.394 0.339 0.292 0.252 0.218 0.188 0.163 0.141 0.123 0.107 0.093 0.081 0.071 0.062 0.054 0.047 0.042 0.036 0.032 0.028 0.513 0.436 0 371 0.317 0.270 0231 0.198 0.170 0.146 0.125 0.108 0.093 0.00 0.069 0.060 0,052 0.045 0.039 0.034 0.030 0.026 0.023 0.494 0.416 0 350 0.296 0.250 0.212 0.10 0.153 0.130 0.111 0.095 0.081 0.069 0.059 0.051 0.044 0.038 0.032 0.028 0.024 0.021 0.018 0.475 0.396 0.331 0.277 0.232 0.194 0.164 0.138 0.116 0.098 0.083 0.070 0.060 0.051 0.043 0.037 0.031 0.027 0.023 0.020 0.017 0.014 0.456 0.377 0.312 0.258 0.215 0.178 0.149 0.124 0.104 0.087 0.073 0.061 0.051 0.043 0.037 0.031 0.026 0.022 0.019 0.016 0.014 0.012 21 22 23 25 26 27 28 0.439 0.359 0.294 0 242 0.199 0.164 0.135 0.112 0.093 0.077 0.064 0.053 0.044 0.037 0.031 0.026 0.022 0.018 0.015 0.013 0.011 0.009 0.422 0.342 0.278 0.226 0.184 0.150 0.123 0.101 0.083 0.068 0.056 0.046 0.038 0.032 0.025 0.022 0.018 0,015 0.013 0.011 0.009 0.007 0.406 0.326 0.262 0.211 0.170 0.138 0.112 0.091 0.074 0.060 0.049 0.040 0.033 0.027 0.022 0.018 0.015 0.012 0.010 0.009 0.007 0.006 0.390 0.310 0.247 0.197 0.158 0.126 0.102 0.002 0.066 0.053 0.043 0.035 0.028 0.023 0.019 0,015 0.013 0010 0.008 0.007 0.006 0.005 0.375 0.295 0.233 0.184 0.146 0.116 0.092 0.074 0.059 0.047 0.038 0.030 0.024 0.020 0.016 0.013 0.010 0.009 0.007 0.006 0.005 0.004 0.361 0.281 0.220 0.172 0.135 0.106 0.084 0.066 0.053 0.042 0.033 0.026 0.021 0.017 0014 0011 0.009 0.007 0.005 0005 0.004 0.003 0.347 0.268 0.207 0.161 0.125 0.098 0.076 0.060 0.047 0.037 0.029 0.023 0.018 0.014 0.011 0.009 0.007 0.006 0.005 0.004 0.003 0.002 0.333 0.255 0.196 0.150 0.116 0090 0.069 0.054 0.042 0.033 0.026 0.020 0.016 0.012 0010 0.00 0.006 0.005 0.004 0.003 0.002 0.002 0.321 0.243 0.185 0.141 0.107 0.082 0.063 0.048 0.037 0.029 0.022 0.017 0.014 0.011 0.008 0.006 0.005 0.004 0.003 0.002 0.002 0.002 0.308 0.231 0.174 0.131 0.099 0.075 0.057 0.044 0.033 0.026 0.020 0,015 0,012 0.009 0.007 0.005 0.004 0.003 0.003 0.002 0.002 0.001 0.208 0.142 0.097 0.067 0.046 0.032 0.022 0,015 0,011 0.008 0.005 0.004 0.003 0.002 0.001 0.001 0.001 0.000 0.000 0.000 0.000 0.000 29 30 40 EXHIBIT 13-2 Present Value of an Annuity of $1 in Arrears: ||- Periods 4% 5% 6% 7% 0.962 0.952 0.943 0.935 1.886 1.859 1.833 1.80B 2.775 2.723 2.673 2624 3.630 3.546 3.465 3.387 4.452 4 329 4212 4.100 8% 9% 10% 11% 12% 13% 14% 15% 16% 17% 18% 19% 20% 21% 22% 23% 24% 25 0.926 0.917 0.909 0.901 0.893 0.885 0.877 0.870 0.862 0.855 0.847 0.840 0.833 0.826 0.820 0.813 0.806 0.800 1.783 1.759 1.736 1.712 1.690 1.668 1,647 1626 1605 1.585 1.566 1.547 1.528 1.509 1.492 1474 1.457 1.440 2.577 2.531 2.487 2.444 2.402 2361 2.322 2.283 2.246 2210 2.174 2.140 2.106 2074 2042 2011 1.981 1952 3.312 3.240 3.170 3.102 3.037 2.974 2.914 2.855 2.798 2.743 2.690 2.639 2.589 2.540 2.494 2.448 2.404 2 362 3.9933.890 3.791 3.696 3.605 3517 3.433 3.352 3.274 3.199 3.127 3058 2 991 2.926 2864 2 803 2.745 2.689 5242 6.002 6.733 7.435 8.111 5.076 5.786 6.463 7.108 7.722 4.917 5.582 6.210 6.802 7.360 4.767 4.623 5.389 5.206 5.971 5.747 6.515 6.247 7024 6.710 4.486 4.355 4.231 4.111 3.998 3.8.89 3.784 3.685 3.589 3.498 3410 3.326 3.245 3.167 3.092 3.020 2.951 5,033 4.868 4.712 4,564 4.423 4.288 4.160 4.039 3.922 3.812 3.706 3.605 3.500 3.416 3.327 3.242 3.161 5.535 5 335 5.146 4.968 4.799 4.639 4.487 4.344 4.207 4,078 3.954 3.837 3.726 3.619 3518 3.421 3.329 5.995 5.759 5.537 5.328 5.132 4.946 4.772 4.607 4.451 4.303 4.163 4.031 3.905 3.786 3.673 3.566 3.463 6.418 6.145 5.889 5.650 5.426 5.216 5.019 4,833 4.659 4.494 4339 4. 192 4054 3.923 3.799 3.682 3.571 10 12 8.760 8.306 7.887 7.499 7.139 6.805 6.495 6.207 5.938 5.687 5.453 5.234 5.029 4.836 4.656 4.486 4.327 4.177 4.035 3.902 3.776 3.656 9.385 8.863 8.384 7.943 7.536 7.1616.814 6.492 6.194 5.918 5.660 5.421 5.197 4.988 4.793 4,611 4.439 4,278 4.127 3.985 3.851 3.725 9.986 9.394 8.853 8.358 7.904 7.487 7.103 6.750 6.424 6.122 5.842 5 583 5 342 5.118 4.910 4 715 4.533 4 362 4.203 4.053 3.912 3.780 10.563 9.899 9.295 8.745 8.244 7.786 7.367 6.982 6.628 6 302 6.002 5.724 5.468 5229 5.008 4 802 4. 611 4.432 4 265 4.108 3.962 3824 11.118 10.380 9. 712 9.108 8.559 8061 7,606 7.191 6 811 6.462 6.142 5.847 5.575 5.324 5.092 4.876 4.675 4.489 4.315 4.153 4.001 3.859 15 16 17 11.652 10.838 10.106 9.447 8.851 8.313 7.824 7.379 6.974 6.604 6.265 5.954 5.668 5.405 5.162 4.938 4.730 4.536 4.357 4.189 4.033 3.887 12.166 11.274 10.477 9.763 9.122 8.544 8.022 7.549 7.120 6.729 6.373 6.047 5.749 5.475 5.222 4.990 4.775 4.576 4.391 4.219 4.059 3.910 12.659 11.690 10.828 10.059 9.372 8.756 8.201 7.702 7.250 6.840 6.467 6.128 5.818 5.534 5.273 5,033 4.812 4,608 4.419 4243 4080 3.928 13. 134 12.085 11.158 10.336 9.604 8.950 8.365 7.839 7.366 6.938 6.550 6.198 5.877 5.584 5.316 5,070 4.843 4.635 4.442 4.263 4,097 2.942 13.590 12.462 11.470 10.594 9.818 9.129 8.514 7.963 7.469 7.025 6.623 6.259 5.929 5.628 5.353 5.101 4.870 4.657 4.460 4.279 4.110 3.954 19 20 21 22 23 14.029 12.821 11.764 1.836 10.017 9.292 8.649 8.075 7.562 7.102 6.687 6.312 5.973 5.665 5.384 5.127 4.891 4.675 4.476 4.292 4.121 3.963 14.451 13.163 12.042 11.061 10.201 9.442 8.772 8.176 7.645 7.170 6.743 6.359 6.011 5.696 5.410 5.149 4.909 4.690 4.488 4.302 4.130 3.970 14.857 13.489 12 303 11 272 10.371 9.580 8.883 8.266 7.718 7.230 6.792 6.399 6.044 5.723 5.432 5.167 4.925 4.703 4.499 4.311 4.137 3.976 15 247 13.799 12.550 11.469 10.529 9.707 8.985 8.348 7.784 7.283 6.835 6.434 6.073 5.746 5.451 5.182 4.937 4.713 4.507 4 318 4.143 3.981 15.622 14.094 12.783 11.654 10.675 9.823 9.077 8.422 7.843 7.330 6.873 6.464 6.097 5.766 5.467 5.195 4.948 4.721 4.514 4.323 4.147 3.985 25 28 29 30 40 15.983 14.375 13.003 11.826 10.810 9.929 9.161 8.488 7.896 7.372 6.906 6.491 6.118 5.783 5.480 5.206 4.956 4.728 4.520 4.328 4.151 3.988 16.330 14.643 13.211 11.987 10.935 10.027 9.237 8.548 7.943 7.409 6.935 6.514 6.136 5.798 5.492 5.215 4.964 4.734 4.524 4.332 4.154 3.990 16.663 14.898 13.406 12.137 11.051 10.116 9.307 8.602 7.984 7.441 6.961 6.534 6.152 5810 5.502 5.223 4.970 4.739 4.528 4.335 4.157 3.992 16.984 15.141 13.591 12.278 11.158 10.198 9.370 8.650 8.022 7.470 6.983 6.551 6.166 5.820 5.510 5.229 4.975 4.743 4.531 4.337 4.159 3.994 17.292 15.372 13.765 12.409 11.258 10.274 9.427 8.694 8.055 7.496 7.003 6.566 6.177 5.829 5.517 5.235 4.979 4.746 4.534 4.339 4.160 3.995 19.793 17.159 15.046 13.332 11.925 10.757 9.779 8.951 8.244 7.634 7.105 6.642 6.233 5.871 5.548 5.258 4.997 4.760 4.544 4.347 4.166 3.999