ndhoek Mines, Limited, of Namibia, is contemplating the purchase of equipment to exploit a mineral deposit on land to which the company has mineral rights. An engineering and cost analysis has been made, and it is expected that the following cash flows would be associated with opening and operating a mine in the area: Cost of new equipment and timbers $ 420,000 Working capital required $ 230,000 Annual net cash receipts $ 165,000* Cost to construct new roads in three years $ 66,000 Salvage value of equipment in four years $ 91,000 *Receipts from sales of ore, less out-of-pocket costs for salaries, utilities, insurance, and so forth. The mineral deposit would be exhausted after four years of mining. At that point, the working capital would be released for reinvestment elsewhere. The company’s required rate of r
Windhoek Mines, Limited, of Namibia, is contemplating the purchase of equipment to exploit a mineral deposit on land to which the company has mineral rights. An engineering and cost analysis has been made, and it is expected that the following
Cost of new equipment and timbers | $ 420,000 |
---|---|
$ 230,000 | |
Annual net cash receipts | $ 165,000* |
Cost to construct new roads in three years | $ 66,000 |
Salvage value of equipment in four years | $ 91,000 |
*Receipts from sales of ore, less out-of-pocket costs for salaries, utilities, insurance, and so forth.
The mineral deposit would be exhausted after four years of mining. At that point, the working capital would be released for reinvestment elsewhere. The company’s required
Exhibit 14B-1 and Exhibit 14B-2, to determine the appropriate discount factor(s) using tables.
EXHIBIT 14B-2
Present Value of an Annuity of $1 in Arrears; 1 r [ 1 - 1 ( 1 + r ) n ]
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 | 0.840 | 0.833 | 0.826 | 0.820 | 0.813 | 0.806 | 0.800 |
2 | 1.886 | 1.859 | 1.833 | 1.808 | 1.783 | 1.759 | 1.736 | 1.713 | 1.690 | 1.668 | 1.647 | 1.626 | 1.605 | 1.585 | 1.566 | 1.547 | 1.528 | 1.509 | 1.492 | 1.474 | 1.457 | 1.440 |
3 | 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 |
4 | 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 |
5 | 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 |
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 |
7 | 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 |
11 | 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 |
12 | 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 |
13 | 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 |
14 | 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 |
15 | 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 |
16 | 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 |
17 | 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 |
18 | 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 |
19 | 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 | 3.942 |
20 | 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 | 5.432 | 5.167 | 4.925 | 4.703 | 4.499 | 4.311 | 4.137 | 3.976 |
24 | 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 |
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 | 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 |
27 | 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 |
28 | 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 | 5.810 | 5.502 | 5.223 | 4.970 | 4.739 | 4.528 | 4.335 | 4.157 | 3.992 |
29 | 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 |
30 | 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 |
40 | 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 |
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