Question
Dupree Industries is deciding whether to automate one phase of its production process. The manufacturing equipment has a six-year life and will cost $915,000. Projected
Dupree Industries is deciding whether to automate one phase of its production process. The manufacturing equipment has a six-year life and will cost $915,000. Projected net cash inflows are as?follows
Year 1 | $260,000 |
Year 2 | 253,000 |
Year 3 | 227,000 |
Year 4 | 211,000 |
Year 5 | 203,000 |
Year 6 | 177,000 |
Requirments
1. Compute this? project's NPV using duprees 16?% hurdle rate. Should Duprees invest in the? equipment?
2. Dupree could refurbish the equipment at the end of six years for $104,000. The refurbished equipment could be used one more? year, providing $78,000 of net cash inflows in year 7.? Additionally, the refurbished equipment would have a $50,000 residual value at the end of year 7. Should duprees invest in the equipment and refurbish it after six? years? (?Hint:In addition to your answer to Requirement? 1, discount the additional cash outflow and inflows back to the present? value.)
Present Value of? $1 | ||||||||||||||||
Periods | ?1% | ?2% | ?3% | ?4% | ?5% | ?6% | ?7% | ?8% | ?9% | ?10% | ?12% | ?14% | ?15% | ?16% | ?18% | ?20% |
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 | 0.870 | 0.862 | 0.847 | 0.833 |
2 | 0.980 | 0.961 | 0.943 | 0.925 | 0.907 | 0.890 | 0.873 | 0.857 | 0.842 | 0.826 | 0.797 | 0.769 | 0.756 | 0.743 | 0.718 | 0.694 |
3 | 0.971 | 0.942 | 0.915 | 0.889 | 0.864 | 0.840 | 0.816 | 0.794 | 0.772 | 0.751 | 0.712 | 0.675 | 0.658 | 0.641 | 0.609 | 0.579 |
4 | 0.961 | 0.924 | 0.888 | 0.855 | 0.823 | 0.792 | 0.763 | 0.735 | 0.708 | 0.683 | 0.636 | 0.592 | 0.572 | 0.552 | 0.516 | 0.482 |
5 | 0.951 | 0.906 | 0.863 | 0.822 | 0.784 | 0.747 | 0.713 | 0.681 | 0.650 | 0.621 | 0.567 | 0.519 | 0.497 | 0.476 | 0.437 | 0.402 |
6 | 0.942 | 0.888 | 0.837 | 0.790 | 0.746 | 0.705 | 0.666 | 0.630 | 0.596 | 0.564 | 0.507 | 0.456 | 0.432 | 0.410 | 0.370 | 0.335 |
7 | 0.933 | 0.871 | 0.813 | 0.760 | 0.711 | 0.665 | 0.623 | 0.583 | 0.547 | 0.513 | 0.452 | 0.400 | 0.376 | 0.354 | 0.314 | 0.279 |
8 | 0.923 | 0.853 | 0.789 | 0.731 | 0.677 | 0.627 | 0.582 | 0.540 | 0.502 | 0.467 | 0.404 | 0.351 | 0.327 | 0.305 | 0.266 | 0.233 |
9 | 0.914 | 0.837 | 0.766 | 0.703 | 0.645 | 0.592 | 0.544 | 0.500 | 0.460 | 0.424 | 0.361 | 0.308 | 0.284 | 0.263 | 0.225 | 0.194 |
10 | 0.905 | 0.820 | 0.744 | 0.676 | 0.614 | 0.558 | 0.508 | 0.463 | 0.422 | 0.386 | 0.322 | 0.270 | 0.247 | 0.227 | 0.191 | 0.162 |
11 | 0.896 | 0.804 | 0.722 | 0.650 | 0.585 | 0.527 | 0.475 | 0.429 | 0.388 | 0.350 | 0.287 | 0.237 | 0.215 | 0.195 | 0.162 | 0.135 |
12 | 0.887 | 0.788 | 0.701 | 0.625 | 0.557 | 0.497 | 0.444 | 0.397 | 0.356 | 0.319 | 0.257 | 0.208 | 0.187 | 0.168 | 0.137 | 0.112 |
13 | 0.879 | 0.773 | 0.681 | 0.601 | 0.530 | 0.469 | 0.415 | 0.368 | 0.326 | 0.290 | 0.229 | 0.182 | 0.163 | 0.145 | 0.116 | 0.093 |
14 | 0.870 | 0.758 | 0.661 | 0.577 | 0.505 | 0.442 | 0.388 | 0.340 | 0.299 | 0.263 | 0.205 | 0.160 | 0.141 | 0.125 | 0.099 | 0.078 |
15 | 0.861 | 0.743 | 0.642 | 0.555 | 0.481 | 0.417 | 0.362 | 0.315 | 0.275 | 0.239 | 0.183 | 0.140 | 0.123 | 0.108 | 0.084 | 0.065 |
16 | 0.853 | 0.728 | 0.623 | 0.534 | 0.458 | 0.394 | 0.339 | 0.292 | 0.252 | 0.218 | 0.163 | 0.123 | 0.107 | 0.093 | 0.071 | 0.054 |
17 | 0.844 | 0.714 | 0.605 | 0.513 | 0.436 | 0.371 | 0.317 | 0.270 | 0.231 | 0.198 | 0.146 | 0.108 | 0.093 | 0.080 | 0.060 | 0.045 |
18 | 0.836 | 0.700 | 0.587 | 0.494 | 0.416 | 0.350 | 0.296 | 0.250 | 0.212 | 0.180 | 0.130 | 0.095 | 0.081 | 0.069 | 0.051 | 0.038 |
19 | 0.828 | 0.686 | 0.570 | 0.475 | 0.396 | 0.331 | 0.277 | 0.232 | 0.194 | 0.164 | 0.116 | 0.083 | 0.070 | 0.060 | 0.043 | 0.031 |
20 | 0.820 | 0.673 | 0.554 | 0.456 | 0.377 | 0.312 | 0.258 | 0.215 | 0.178 | 0.149 | 0.104 | 0.073 | 0.061 | 0.051 | 0.037 | 0.026 |
21 | 0.811 | 0.660 | 0.538 | 0.439 | 0.359 | 0.294 | 0.242 | 0.199 | 0.164 | 0.135 | 0.093 | 0.064 | 0.053 | 0.044 | 0.031 | 0.022 |
22 | 0.803 | 0.647 | 0.522 | 0.422 | 0.342 | 0.278 | 0.226 | 0.184 | 0.150 | 0.123 | 0.083 | 0.056 | 0.046 | 0.038 | 0.026 | 0.018 |
23 | 0.795 | 0.634 | 0.507 | 0.406 | 0.326 | 0.262 | 0.211 | 0.170 | 0.138 | 0.112 | 0.074 | 0.049 | 0.040 | 0.033 | 0.022 | 0.015 |
24 | 0.788 | 0.622 | 0.492 | 0.390 | 0.310 | 0.247 | 0.197 | 0.158 | 0.126 | 0.102 | 0.066 | 0.043 | 0.035 | 0.028 | 0.019 | 0.013 |
25 | 0.780 | 0.610 | 0.478 | 0.375 | 0.295 | 0.233 | 0.184 | 0.146 | 0.116 | 0.092 | 0.059 | 0.038 | 0.030 | 0.024 | 0.016 | 0.010 |
26 | 0.772 | 0.598 | 0.464 | 0.361 | 0.281 | 0.220 | 0.172 | 0.135 | 0.106 | 0.084 | 0.053 | 0.033 | 0.026 | 0.021 | 0.014 | 0.009 |
27 | 0.764 | 0.586 | 0.450 | 0.347 | 0.268 | 0.207 | 0.161 | 0.125 | 0.098 | 0.076 | 0.047 | 0.029 | 0.023 | 0.018 | 0.011 | 0.007 |
28 | 0.757 | 0.574 | 0.437 | 0.333 | 0.255 | 0.196 | 0.150 | 0.116 | 0.090 | 0.069 | 0.042 | 0.026 | 0.020 | 0.016 | 0.010 | 0.006 |
29 | 0.749 | 0.563 | 0.424 | 0.321 | 0.243 | 0.185 | 0.141 | 0.107 | 0.082 | 0.063 | 0.037 | 0.022 | 0.017 | 0.014 | 0.008 | 0.005 |
30 | 0.742 | 0.552 | 0.412 | 0.308 | 0.231 | 0.174 | 0.131 | 0.099 | 0.075 | 0.057 | 0.033 | 0.020 | 0.015 | 0.012 | 0.007 | 0.004 |
40 | 0.672 | 0.453 | 0.307 | 0.208 | 0.142 | 0.097 | 0.067 | 0.046 | 0.032 | 0.022 | 0.011 | 0.005 | 0.004 | 0.003 | 0.001 | 0.001 |
50 | 0.608 | 0.372 | 0.228 | 0.141 | 0.087 | 0.054 | 0.034 | 0.021 | 0.013 | 0.009 | 0.003 | 0.001 | 0.001 | 0.001 | 0.000 | 0.000 |
Present Value of Annuity of? $1 | ||||||||||||||||
Periods | ?1% | ?2% | ?3% | ?4% | ?5% | ?6% | ?7% | ?8% | ?9% | ?10% | ?12% | ?14% | ?15% | ?16% | ?18% | ?20% |
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 | 0.870 | 0.862 | 0.847 | 0.833 |
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 | 1.626 | 1.605 | 1.566 | 1.528 |
3 | 2.941 | 2.884 | 2.829 | 2.775 | 2.723 | 2.673 | 2.624 | 2.577 | 2.531 | 2.487 | 2.402 | 2.322 | 2.283 | 2.246 | 2.174 | 2.106 |
4 | 3.902 | 3.808 | 3.717 | 3.630 | 3.546 | 3.465 | 3.387 | 3.312 | 3.240 | 3.170 | 3.037 | 2.914 | 2.855 | 2.798 | 2.690 | 2.589 |
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 | 3.352 | 3.274 | 3.127 | 2.991 |
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 | 3.784 | 3.685 | 3.498 | 3.326 |
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 | 4.160 | 4.039 | 3.812 | 3.605 |
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 | 4.487 | 4.344 | 4.078 | 3.837 |
9 | 8.566 | 8.162 | 7.786 | 7.435 | 7.108 | 6.802 | 6.515 | 6.247 | 5.995 | 5.759 | 5.328 | 4.946 | 4.772 | 4.607 | 4.303 | 4.031 |
10 | 9.471 | 8.983 | 8.530 | 8.111 | 7.722 | 7.360 | 7.024 | 6.710 | 6.418 | 6.145 | 5.650 | 5.216 | 5.019 | 4.833 | 4.494 | 4.192 |
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 | 5.234 | 5.029 | 4.656 | 4.327 |
12 | 11.255 | 10.575 | 9.954 | 9.385 | 8.863 | 8.384 | 7.943 | 7.536 | 7.161 | 6.814 | 6.194 | 5.660 | 5.421 | 5.197 | 4.793 | 4.439 |
13 | 12.134 | 11.348 | 10.635 | 9.986 | 9.394 | 8.853 | 8.358 | 7.904 | 7.487 | 7.103 | 6.424 | 5.842 | 5.583 | 5.342 | 4.910 | 4.533 |
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 | 5.724 | 5.468 | 5.008 | 4.611 |
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 | 5.847 | 5.575 | 5.092 | 4.675 |
16 | 14.718 | 13.578 | 12.561 | 11.652 | 10.838 | 10.106 | 9.447 | 8.851 | 8.313 | 7.824 | 6.974 | 6.265 | 5.954 | 5.668 | 5.162 | 4.730 |
17 | 15.562 | 14.292 | 13.166 | 12.166 | 11.274 | 10.477 | 9.763 | 9.122 | 8.544 | 8.022 | 7.120 | 6.373 | 6.047 | 5.749 | 5.222 | 4.775 |
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 | 6.128 | 5.818 | 5.273 | 4.812 |
19 | 17.226 | 15.678 | 14.324 | 13.134 | 12.085 | 11.158 | 10.336 | 9.604 | 8.950 | 8.365 | 7.366 | 6.550 | 6.198 | 5.877 | 5.316 | 4.843 |
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 | 6.259 | 5.929 | 5.353 | 4.870 |
21 | 18.857 | 17.011 | 15.415 | 14.029 | 12.821 | 11.764 | 10.836 | 10.017 | 9.292 | 8.649 | 7.562 | 6.687 | 6.312 | 5.973 | 5.384 | 4.891 |
22 | 19.660 | 17.658 | 15.937 | 14.451 | 13.163 | 12.042 | 11.061 | 10.201 | 9.442 | 8.772 | 7.645 | 6.743 | 6.359 | 6.011 | 5.410 | 4.909 |
23 | 20.456 | 18.292 | 16.444 | 14.857 | 13.489 | 12.303 | 11.272 | 10.371 | 9.580 | 8.883 | 7.718 | 6.792 | 6.399 | 6.044 | 5.432 | 4.925 |
24 | 21.243 | 18.914 | 16.936 | 15.247 | 13.799 | 12.550 | 11.469 | 10.529 | 9.707 | 8.985 | 7.784 | 6.835 | 6.434 | 6.073 | 5.451 | 4.937 |
25 | 22.023 | 19.523 | 17.413 | 15.622 | 14.094 | 12.783 | 11.654 | 10.675 | 9.823 | 9.077 | 7.843 | 6.873 | 6.464 | 6.097 | 5.467 | 4.948 |
26 | 22.795 | 20.121 | 17.877 | 15.983 | 14.375 | 13.003 | 11.826 | 10.810 | 9.929 | 9.161 | 7.896 | 6.906 | 6.491 | 6.118 | 5.480 | 4.956 |
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 | 6.514 | 6.136 | 5.492 | 4.964 |
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 | 6.534 | 6.152 | 5.502 | 4.970 |
29 | 25.066 | 21.844 | 19.188 | 16.984 | 15.141 | 13.591 | 12.278 | 11.158 | 10.198 | 9.370 | 8.022 | 6.983 | 6.551 | 6.166 | 5.510 | 4.975 |
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 | 6.566 | 6.177 | 5.517 | 4.979 |
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 | 6.642 | 6.233 | 5.548 | 4.997 |
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 | 6.661 | 6.246 | 5.554 | 4.999 |
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