Gaston Company is considering a capital budgeting project that would require a $2,400,000 investment in equipment with a useful life of five years and no salvage value. The companys tax rate is 30% and its after-tax cost of capital is 13%. It uses the straight-line depreciation method for financial reporting and tax purposes. The project would provide net operating income each year for five years as follows:

To determine the appropriate discount factor(s) using tables

Required:

Compute the projects net present value.

$3, 100, 000 1, 630, 000 1, 470, 000 Sales Variable expenses Contribution margin Fixed expenses: Advertising, salaries, and other fixed out-of- $690, 000 pocket costs 480, 000 Depreciation Total fixed expenses 1, 170, 000 $300, 000 Net operating income EXHIBIT 13B-1 23 962 0.952 0.943 0.935 0.926 0.917 0.909 0.9 893 0.885 0.877 0.870 0.862 0.855 0.847 0 0.833 0.826 0.820 907 0.890 0.873 0.857 0.840 0.816 0.794 0.772 0.751 0.731 0.712 0.693 0.675 0.658 0.641 0.624 0.609 0.593 0.579 0.564 0.551 0.537 0.524 0.512 499 0.482 0.467 0.451 0.437 0.423 0.410 855 0.823 0.792 0.763 0.735 0.708 0.683 0.659 636 0.613 0.592 0.572 0.552 0.534 0.516 0.713 0.681 0.650 0.621 0.593 0.567 0.543 0.51 76 0.456 0.437 0.419 0.402 0.386 0.370 0.355 0.341 0.3 790 0.746 0.705 0.666 0.630 0.596 0.564 0.535 0.507 0.480 0.456 0.432 760 0.711 0.665 0.623 0.583 0.547 0.513 0.482 10 0.390 0.370 0.352 0.335 0 0.303 0.289 0.275 0 0.314 0.296 0.279 0.263 0.249 0.235 0.222 0.210 0.249 0.233 0.218 0.204 0.191 0.179 0.168 0.284 0.263 0.243 0.225 0.209 0.194 0.180 0.167 0.155 0.144 0.134 676 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 52 0.425 0.400 0.376 0.354 0 677 0.627 0.582 0.540 0.502 0.467 0.434 0.404 0.376 0.351 0.327 0.305 0.285 0 460 0.424 0.391 0.361 0.333 0 45 0.592 0.544 0.50 50 0.585 0.527 0.475 0.429 0.388 0.350 0 0.287 0.261 0.237 0.215 0.195 0.178 0.162 0.14 12 0.103 0.094 0.08 92 0.083 0.076 0.06 625 0.557 0.497 0.444 0.397 0.356 0.319 0.286 0.257 0.231 0.2 13 0.601 0.530 0.469 0.415 0.368 0.326 0.290 0.258 0.229 0.204 0.182 0.16 168 0.152 0.137 0.124 0.112 0.102 145 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 0.099 183 0.160 0.140 0.123 0.108 0.095 0.084 078 0.069 0.062 17 0.362 0.315 0.275 0.239 0.209 065 0.057 0.051 0.045 0.040 0.035 163 0.141 0.123 0.107 0.093 0.081 0.071 0.062 0.054 0.047 0.042 0.036 0.032 0.028 052 0.045 0.039 0.034 0.030 0.026 0.023 0.494 0.416 0.350 0.296 0.250 0.212 0.180 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 0.394 0.339 0.292 0.252 0.218 0.1 13 0.436 0.371 0.317 0.270 0.231 0.198 0.170 0.146 0.125 0.108 0.277 0.232 0.194 0.164 0.138 0.116 0.098 o.083 0.070 0.060 0.051 0.043 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 o.016 0.014 0.012 031 003, 032 03 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 0.026 0.022 0.018 0.015 0.013 0.011 0.009 0.007 009 0.007 0.006 O.082 O.066 O.O53 O.O43 O.035 O.O28 0.023 0.019 0.015 0.0 13 0.O 10 O.008 O.007 O.006 O.OO5 13 0.010 0.009 0.007 0.006 0.005 0.004 0.093 0.077 0.064 0.053 0.044 0.037 0.031 22 23 0.406 0.326 0.262 0.211 0.170 0.138 0.112 0.0 0.390 0.310 0.247 0.197 0.158 0.126 01 0.375 0.295 0.233 0.184 0.146 074 0.060 0.049 0.040 0.033 0.027 0.022 0.018 0.015 0.012 0.010 116 0.092 0.074 0.059 0.047 0.03 030 0.024 0.020 0 0.006 0.005 0.004 0.003 27 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 0.135 0.106 0.084 0.066 0.053 0.033 0.026 0.021 0.017 0.014 0.011 0.009 333 0.255 0.196 0.150 0.116 0.090 0.069 0.054 0.042 0.033 0.02 020 0.016 0.012 0.010 0.008 0.006 0.005 0.004 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 0.006 0.005 0.004 0.003 0.002 0.002 0.002 0.009 0.007 0.005 0.004 0.003 0.003 0.002 0.002 0.001 30 0.308 0.231 0.174 0.131 0.099 0.075 0.057 0.044 0.033 0.026 0.020 0.0 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 EXHIBIT 13B-2 Present Value of an Annuity of $1 in Arrears: 1+ Periods 4% 5% 6% 7% 8% 9% 10% 11% 12% 13% 14% 15% 16% 17% 18% 19% 20% 21% 22% 23% 24% 25% 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 0.8550.847 0.840 0.833 0.826 0.820 0.813 0.806 0.800 668 1.647 1.626 1.605 1.585 1.566 1.547 1.528 1.509 1.492 1.474 1.457 1.440 2.775 2.723 2.673 2.624 2.577 2.531 2.487 2.444 2.402 2.361 2.322 2.283 2.246 2.210 2.174 2.140 2.106 2.074 2.042 2.011 1.981 1.952 3.630 3.546 3.465 3.387 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 4.452 4.329 4.212 4.100 3.993 3.890 3.791 3.696 3.605 3.517 3.433 3.352 3.274 3.199 3.127 3.058 2.991 2.926 2.864 2.803 2.745 2.689 2 1.886 1.859 1.833 1.808 1.783 1.759 1.736 1.713 1.690 1. 3 4 5 6 5.242 5.076 4.917 4.767 4.623 4.486 4.355 4.231 4.111 3.998 3.889 3.784 3.685 3.589 3.498 3.410 3.326 3.245 3.167 3.092 3.020 2.951 6.002 5.786 5.582 5.389 5.206 5.033 4.868 4.712 4.564 4.423 4.288 4.160 4.039 3.922 3.812 3.706 3.605 3.508 3.416 3.327 3.242 3.161 8 6.733 6.463 6.210 5.971 5.747 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 3.518 3.421 3.329 9 7.435 7.108 6.802 6.515 6.247 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 10 8.111 7.722 7.360 7.024 6.710 6.418 6.145 5.889 5.650 5.426 5.216 5.019 4.833 4.659 4.494 4.339 4.192 4.054 3.923 3.799 3.682 3.571 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 7.161 6.814 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 4.7 15 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 5.229 5.008 4.802 4.611 4.432 4.265 4.108 3.962 3.824 11.118 10.380 9.712 9.108 8.559 8.061 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 14 15 16 17 18 19 20 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 4.243 4.080 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 5877 5.584 5316 5.07O 4.843 4635 4412 42634097 3942 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 21 14.029 12.821 11.764 10.836 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 22 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 23 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 5432 si67 4925 4703 499 43m1373.9G 15.247 13.799 12.550 11.469 10.529 9.707 8.985 8.348 7.784 7.283 6.835 6.434 6073 5.746 5451 5.1824.937 4713 450743184143 3931 25 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 26 27 28 29 30 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 7.984 7.441 6.961 6.534 6.152 5.810 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 4.534 4.339 4.160 3.995 051 10.116 9.30 16.663 14.898 13.406 12.137 292 65 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 40 19.793 17.159 46 13.332 11.925 10.757 9.779 8.951 8.244 7.634 7.105 6.642 6.23 71 5.548 5.258 4.997 4.760 4.544 4.347 4.166 3.999