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A new machine that costs $202,686 is expected to save annual cash operating costs of $44,000 over each of the next nine years. Using the

A new machine that costs $202,686 is expected to save annual cash operating costs of $44,000 over each of the next nine 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

Multiple Choice

  • approximately 12%.

  • approximately 18%.

  • approximately 14%.

  • None of the answers is correct.

  • approximately 16%.

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