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A new machine that costs $266,040 is expected to save annual cash operating costs of $80,000 over each of the next six years. Using the
A new machine that costs $266,040 is expected to save annual cash operating costs of $80,000 over each of the next six years. Using the tables that follow, the machine's internal rate of return is:
Future Value of $1 | |||||||||||||||||||
Periods | 4% | 6% | 8% | 10% | 12% | 14% | 16% | 18% | 20% | ||||||||||
1 | 1.040 | 1.060 | 1.080 | 1.100 | 1.120 | 1.140 | 1.160 | 1.180 | 1.200 | ||||||||||
2 | 1.082 | 1.124 | 1.166 | 1.210 | 1.254 | 1.300 | 1.346 | 1.393 | 1.440 | ||||||||||
3 | 1.125 | 1.191 | 1.260 | 1.331 | 1.405 | 1.482 | 1.561 | 1.643 | 1.728 | ||||||||||
4 | 1.170 | 1.263 | 1.361 | 1.464 | 1.574 | 1.689 | 1.811 | 1.939 | 2.074 | ||||||||||
5 | 1.217 | 1.338 | 1.469 | 1.611 | 1.762 | 1.925 | 2.101 | 2.288 | 2.488 | ||||||||||
6 | 1.265 | 1.419 | 1.587 | 1.772 | 1.974 | 2.195 | 2.437 | 2.700 | 2.986 | ||||||||||
7 | 1.316 | 1.504 | 1.714 | 1.949 | 2.211 | 2.502 | 2.827 | 3.186 | 3.583 | ||||||||||
8 | 1.369 | 1.594 | 1.851 | 2.144 | 2.476 | 2.853 | 3.279 | 3.759 | 4.300 | ||||||||||
9 | 1.423 | 1.690 | 1.999 | 2.359 | 2.773 | 3.252 | 3.803 | 4.436 | 5.160 | ||||||||||
10 | 1.480 | 1.791 | 2.159 | 2.594 | 3.106 | 3.707 | 4.412 | 5.234 | 6.192 | ||||||||||
Future Value of a Series of $1 Cash Flows | |||||||||||||||||||
Periods | 4% | 6% | 8% | 10% | 12% | 14% | 16% | 18% | 20% | ||||||||||
1 | 1.000 | 1.000 | 1.000 | 1.000 | 1.000 | 1.000 | 1.000 | 1.000 | 1.000 | ||||||||||
2 | 2.040 | 2.060 | 2.080 | 2.100 | 2.120 | 2.140 | 2.160 | 2.180 | 2.220 | ||||||||||
3 | 3.122 | 3.184 | 3.246 | 3.310 | 3.374 | 3.440 | 3.506 | 3.572 | 3.640 | ||||||||||
4 | 4.247 | 4.375 | 4.506 | 4.641 | 4.779 | 4.921 | 5.067 | 5.215 | 5.368 | ||||||||||
5 | 5.416 | 5.637 | 5.867 | 6.105 | 6.353 | 6.610 | 6.877 | 7.154 | 7.442 | ||||||||||
6 | 6.633 | 6.975 | 7.336 | 7.716 | 8.115 | 8.536 | 8.977 | 9.442 | 9.930 | ||||||||||
7 | 7.898 | 8.394 | 8.923 | 9.487 | 10.089 | 10.730 | 11.414 | 12.142 | 12.916 | ||||||||||
8 | 9.214 | 9.898 | 10.637 | 11.436 | 12.300 | 13.233 | 14.240 | 15.327 | 16.499 | ||||||||||
9 | 10.583 | 11.491 | 12.488 | 13.580 | 14.776 | 16.085 | 17.519 | 19.086 | 20.799 | ||||||||||
10 | 12.006 | 13.181 | 14.487 | 15.938 | 17.549 | 19.337 | 21.321 | 23.521 | 25.959 | ||||||||||
Present Value of $1 | |||||||||||||||||||
Periods | 4% | 6% | 8% | 10% | 12% | 14% | 16% | 18% | 20% | ||||||||||
1 | 0.962 | 0.943 | 0.926 | 0.909 | 0.893 | 0.877 | 0.862 | 0.847 | 0.833 | ||||||||||
2 | 0.925 | 0.890 | 0.857 | 0.826 | 0.797 | 0.769 | 0.743 | 0.718 | 0.694 | ||||||||||
3 | 0.889 | 0.840 | 0.794 | 0.751 | 0.712 | 0.675 | 0.641 | 0.609 | 0.579 | ||||||||||
4 | 0.855 | 0.792 | 0.735 | 0.683 | 0.636 | 0.592 | 0.552 | 0.516 | 0.482 | ||||||||||
5 | 0.822 | 0.747 | 0.681 | 0.621 | 0.567 | 0.519 | 0.476 | 0.437 | 0.402 | ||||||||||
6 | 0.790 | 0.705 | 0.630 | 0.564 | 0.507 | 0.456 | 0.410 | 0.370 | 0.335 | ||||||||||
7 | 0.760 | 0.665 | 0.583 | 0.513 | 0.452 | 0.400 | 0.354 | 0.314 | 0.279 | ||||||||||
8 | 0.731 | 0.627 | 0.540 | 0.467 | 0.404 | 0.351 | 0.305 | 0.266 | 0.233 | ||||||||||
9 | 0.703 | 0.592 | 0.500 | 0.424 | 0.361 | 0.308 | 0.263 | 0.225 | 0.194 | ||||||||||
10 | 0.676 | 0.558 | 0.463 | 0.386 | 0.322 | 0.270 | 0.227 | 0.191 | 0.162 | ||||||||||
Present Value of a Series of $1 Cash Flows | |||||||||||||||||||
Periods | 4% | 6% | 8% | 10% | 12% | 14% | 16% | 18% | 20% | ||||||||||
1 | 0.962 | 0.943 | 0.926 | 0.909 | 0.893 | 0.877 | 0.862 | 0.847 | 0.833 | ||||||||||
2 | 1.886 | 1.833 | 1.783 | 1.736 | 1.690 | 1.647 | 1.605 | 1.566 | 1.528 | ||||||||||
3 | 2.775 | 2.673 | 2.577 | 2.487 | 2.402 | 2.322 | 2.246 | 2.174 | 2.106 | ||||||||||
4 | 3.630 | 3.465 | 3.312 | 3.170 | 3.037 | 2.914 | 2.798 | 2.690 | 2.589 | ||||||||||
5 | 4.452 | 4.212 | 3.993 | 3.791 | 3.605 | 3.433 | 3.274 | 3.127 | 2.991 | ||||||||||
6 | 5.242 | 4.917 | 4.623 | 4.355 | 4.111 | 3.889 | 3.685 | 3.498 | 3.326 | ||||||||||
7 | 6.002 | 5.582 | 5.206 | 4.868 | 4.564 | 4.288 | 4.039 | 3.812 | 3.605 | ||||||||||
8 | 6.733 | 6.210 | 5.747 | 5.335 | 4.968 | 4.639 | 4.344 | 4.078 | 3.837 | ||||||||||
9 | 7.435 | 6.802 | 6.247 | 5.759 | 5.328 | 4.946 | 4.607 | 4.303 | 4.031 | ||||||||||
10 | 8.111 | 7.360 | 6.710 | 6.145 | 5.650 | 5.216 | 4.833 | 4.494 | 4.192 | ||||||||||
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