require a $2,890,000 investment in equipment with a useful life of
five years and no salvage value. The company’s discount rate is
12%. The project would provide net operating income in each of five
years as follows:
Click here to view Exhibit 14B-1 and Exhibit
14B-2, to determine the appropriate discount factor(s) using
table.
- Cardinal Company Is Considering A Five Year Project That Would Require A 2 890 000 Investment In Equipment With A Usefu 1 (244.06 KiB) Viewed 38 times
- Cardinal Company Is Considering A Five Year Project That Would Require A 2 890 000 Investment In Equipment With A Usefu 2 (243.61 KiB) Viewed 38 times
14. Assume a postaudit showed that all estimates (including
total sales) were exactly correct except for the variable expense
ratio, which actually turned out to be 50%. What was the project’s
actual payback period?
EXHIBIT 14B-1 1 Present Value of $1; (1+ r) * Periods 4% 5% 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 0.925 0.907 0.890 0.873 0.857 0.842 0.826 0.812 0.797 0.783 0.769 0.756 0.743 0.731 0.718 0.706 0.694 0.683 0.672 0.672 0.661 0.650 0.640 3 0.889 0.864 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 0.351 0.537 0.524 0.512 4 0.855 0.823 0.792 0.792 0.763 0.735 0.708 0.683 0.659 0.636 0.613 0.592 0.572 0.552 0.552 0.534 0.516 0.499 0.516 0,499 0.482 0.482 0.467 0.467 0.451 0.437 0.423 0.410 S 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 0.3700.352 0.352 0.335 0.319 0.303 0.289 0.275 0.275 0.262 7 0.760 0.711 0.665 0.623 0.583 0.547 0.547 0.513 0.482 0.452 0.425 0.400 0.376 0.354 0.333 0.314 0.314 0.296 0.279 0.263 0.263 0.249 0.235 0.222 0.210 8 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 0.305 0.285 0.266 0.249 0.233 0.218 0.204 0.191 0.179 0.168 9 0.703 0.645 0.592 0.544 0.500 0.460 0.424 0.391 0.361 0.333 0.308 0.284 0.263 0.243 0.225 0.209 0.194 0.180 0.167 0.155 0.144 0.134 10 0.676 0.614 0.558 0.508 0.463 0.422 0.386 0.352 0.352 0.322 0.295 0.270 0.247 0.227 0.208 0.208 0.191 0.191 0.176 0.162 0.149 0.137 0.126 0.116 0.107 || 0.650 0.585 0.527 0.527 0.475 0.429 0.475 0.429 0.388 0.350 0.317 0.287 0.261 0.237 0.215 0.195 0.178 0.178 0.162 0.162 0.148 0.135 0.123 0.112 0.103 0.094 0.086 12 0.625 0.557 0.557 0.497 0.444 0.397 0.356 0.319 0.286 0.257 0.231 0.208 0.208 0.187 0.168 0.152 0.137 0.137 0.124 0.112 0.124 0.112 0.102 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 0.088 0.078 0,069 0.062 0.062 0.055 0,049 0.044 15 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 0.084 0.074 0.065 0.057 0.051 0.045 0.040 0.035 16 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 17 0.513 0.436 0.371 0.317 0.270 0.231 0.198 0.170 0.146 0.125 0.108 0,093 0.080 0.069 0.060 0,052 0.045 0.039 0.034 0.030 0,026 0.023 18 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 19 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 20 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 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 0.001 0.009 22 0.422 0.342 0.278 0.226 0.184 0.150 0.150 0.123 0.123 0.101 0.083 0,068 0.056 0.046 0.038 0.032 0.026 0.022 0.018 0.015 0,015 0,013 0.011 0.009 0.007 23 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 24 0.390 0.310 0.247 0.197 0.158 0.126 0.126 0.102 0.082 0.066 0.053 0.043 0.035 0.028 0.023 0.019 0.015 0.013 0.010 0.008 0.007 0.006 0.005 25 0.375 0.295 0.233 0.184 0.146 0.116 0.092 0.074 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 26 0.361 0.281 0.220 0.172 0.135 0.106 0.084 0.066 0.053 0,042 0.033 0.033 0.026 0.026 0.021 0.017 0.014 0.011 0.009 0.007 0.006 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 ( 28 0.333 0.255 0.196 0.150 0.116 0.090 0.069 0.054 0.042 0,033 0,026 0.020 0.016 0.012 0.010 0.008 0.006 0.005 0.004 0.003 0.002 0.002 29 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 0.020 0.015 0.015 0.012 0.009 0.007 0.005 0.004 0.003 0.003 0.002 0.002 0.001 40 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 30
EXHIBIT 14B-2 Present Value of an Annuity of $1 in Arrears: (-a+] (1 + r)" Periods 1 2 3 4 5 6 7 8 8 9 10 11 12 13 14 15 16 17 18 19 20) 21 22 23 24 25 26 27 28 29 30 40 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 0.855 0.847 0.840 0.833 0.826 0.820 0.813 0.806 0.800 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 2.775 2.723 2.673 2.624 2.577 2531 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 3546 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 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 4,423 4.288 4.288 4.160 4.039 3.922 3.812 3.706 3.60S 3.508 3.416 3.327 3.242 3.161 6.733 6.463 6.210 5.971 5.747 5.535 5.335 5.335 5.146 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 7.435 7.108 6.802 6.515 6.247 5.9955.759 5.537 5.328 5.132 4.946 4.772 4.607 4.451 4.303 4.163 4.031 3.905 3.786 3,67% 3.566 3.463 8.111 7.722 7.360 7.024 6.710 6.418 6.145 5.889 5.650 5.426 5.216 5.019 5.019 4.833 4.833 4.659 4.494 4.339 4.192 4.0543.923 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 5.842 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 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 9.108 8.559 8.559 8,061 7.606 7.191 6.811 6.462 6.142 5.847 5.575 5.575 5324 5.092 4.876 4.675 4.489 4.315 4.153 4.001 3.859 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 4.536 4.357 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 5.877 5.584 5.316 5.070 4.843 4.635 4.442 4.263 4,097 3.942 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 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 3.665 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 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 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 4.964 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 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 17.292 15.372 13.765 12.409 11.258 10.2749.427 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 5.258 4.997 4.760 4.544 4.347 4.166 3.999