Question
Tovar ToastersTovar Toasters is considering an equipment investment that will cost $955,000. Projected net cash inflows over the equipment's three-year life are as follows: Year
Tovar ToastersTovar Toasters is considering an equipment investment that will cost $955,000.
Projected net cash inflows over the equipment's three-year life are as follows: Year 1: $494,000;
Year 2: $400,000;
and Year 3: $292,000.
Tovar Tovar wants to know the equipment's IRR.
Requirement
Use trial and error to find the IRR within a 2% range.
(Hint: Use TovarTovar's hurdle rate of 10% to begin the trial-and-error process.) Use a business calculator or spreadsheet to compute the exact IRR)
Present Value of Annuity of $1 | |||||||||||||
Periods | 1% | 2% | 3% | 4% | 5% | 6% | 8% | 10% | 12% | 14% | 16% | 18% | 20% |
1 | 0.990 | 0.980 | 0.971 | 0.962 | 0.952 | 0.943 | 0.926 | 0.909 | 0.893 | 0.877 | 0.862 | 0.847 | 0.833 |
2 | 1.970 | 1.942 | 1.913 | 1.886 | 1.859 | 1.833 | 1.783 | 1.736 | 1.690 | 1.647 | 1.605 | 1.566 | 1.528 |
3 | 2.941 | 2.884 | 2.829 | 2.775 | 2.723 | 2.673 | 2.577 | 2.487 | 2.402 | 2.322 | 2.246 | 2.174 | 2.106 |
4 | 3.902 | 3.808 | 3.717 | 3.630 | 3.546 | 3.465 | 3.312 | 3.170 | 3.037 | 2.914 | 2.798 | 2.690 | 2.589 |
5 | 4.853 | 4.713 | 4.580 | 4.452 | 4.329 | 4.212 | 3.993 | 3.791 | 3.605 | 3.433 | 3.274 | 3.127 | 2.991 |
6 | 5.795 | 5.601 | 5.417 | 5.242 | 5.076 | 4.917 | 4.623 | 4.355 | 4.111 | 3.889 | 3.685 | 3.498 | 3.326 |
7 | 6.728 | 6.472 | 6.230 | 6.002 | 5.786 | 5.582 | 5.206 | 4.868 | 4.564 | 4.288 | 4.039 | 3.812 | 3.605 |
8 | 7.652 | 7.325 | 7.020 | 6.733 | 6.463 | 6.210 | 5.747 | 5.335 | 4.968 | 4.639 | 4.344 | 4.078 | 3.837 |
9 | 8.566 | 8.162 | 7.786 | 7.435 | 7.108 | 6.802 | 6.247 | 5.759 | 5.328 | 4.946 | 4.607 | 4.303 | 4.031 |
10 | 9.471 | 8.983 | 8.530 | 8.111 | 7.722 | 7.360 | 6.710 | 6.145 | 5.650 | 5.216 | 4.833 | 4.494 | 4.192 |
11 | 10.368 | 9.787 | 9.253 | 8.760 | 8.306 | 7.887 | 7.139 | 6.495 | 5.938 | 5.453 | 5.029 | 4.656 | 4.327 |
12 | 11.255 | 10.575 | 9.954 | 9.385 | 8.863 | 8.384 | 7.536 | 6.814 | 6.194 | 5.660 | 5.197 | 4.793 | 4.439 |
13 | 12.134 | 11.348 | 10.635 | 9.986 | 9.394 | 8.853 | 7.904 | 7.103 | 6.424 | 5.842 | 5.342 | 4.910 | 4.533 |
14 | 13.004 | 12.106 | 11.296 | 10.563 | 9.899 | 9.295 | 8.244 | 7.367 | 6.628 | 6.002 | 5.468 | 5.008 | 4.611 |
15 | 13.865 | 12.849 | 11.938 | 11.118 | 10.380 | 9.712 | 8.559 | 7.606 | 6.811 | 6.142 | 5.575 | 5.092 | 4.675 |
20 | 18.046 | 16.351 | 14.877 | 13.590 | 12.462 | 11.470 | 9.818 | 8.514 | 7.469 | 6.623 | 5.929 | 5.353 | 4.870 |
25 | 22.023 | 19.523 | 17.413 | 15.622 | 14.094 | 12.783 | 10.675 | 9.077 | 7.843 | 6.873 | 6.097 | 5.467 | 4.948 |
30 | 25.808 | 22.396 | 19.600 | 17.292 | 15.372 | 13.765 | 11.258 | 9.427 | 8.055 | 7.003 | 6.177 | 5.517 | 4.979 |
40 | 32.835 | 27.355 | 23.115 | 19.793 | 17.159 | 15.046 | 11.925 | 9.779 | 8.244 | 7.105 | 6.233 | 5.548 | 4.997 |
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