Grove Media plans to acquire production equipment for $845,000 that will be depreciated for tax purposes as follows: year 1, $329,000; year 2, $189,000; and in each of years 3 through 5, $109,000 per year. A 10 percent discount rate is appropriate for this asset, and the company's tax rate is 20 percent. Use Exhibit A.8 and Exhibit A.9. Required: a. Compute the present value of the tax shield resulting from depreciation. b. Compute the present value of the tax shield from depreciation assuming straight-line depreciation ($169,000 per year). Complete this question by entering your answers in the tabs below. Required A Required B Compute the present value of the tax shield resulting from depreciation. Note: Round PV factor to 3 decimal places. Present value of the tax shield < Required A Required B >
Grove Media plans to acquire production equipment for $845,000 that will be depreciated for tax purposes as follows: year 1, $329,000; year 2, $189,000; and in each of years 3 through 5, $109,000 per year. A 10 percent discount rate is appropriate for this asset, and the company's tax rate is 20 percent. Use Exhibit A.8 and Exhibit A.9. Required: a. Compute the present value of the tax shield resulting from depreciation. b. Compute the present value of the tax shield from depreciation assuming straight-line depreciation ($169,000 per year). Complete this question by entering your answers in the tabs below. Required A Required B Compute the present value of the tax shield resulting from depreciation. Note: Round PV factor to 3 decimal places. Present value of the tax shield < Required A Required B >
Cornerstones of Cost Management (Cornerstones Series)
4th Edition
ISBN:9781305970663
Author:Don R. Hansen, Maryanne M. Mowen
Publisher:Don R. Hansen, Maryanne M. Mowen
Chapter19: Capital Investment
Section: Chapter Questions
Problem 18E
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Exhibit A.9
Year | 1/2% | 1% | 2% | 4% | 5% | 6% | 8% | 10% | 12% | 14% | 15% | 16% | 18% | 20% | 22% | 24% | 25% | 30% | 35% | 40% |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1 | 0.995 | 0.990 | 0.980 | 0.962 | 0.952 | 0.943 | 0.926 | 0.909 | 0.893 | 0.877 | 0.870 | 0.862 | 0.847 | 0.833 | 0.820 | 0.806 | 0.800 | 0.769 | 0.741 | 0.714 |
2 | 1.985 | 1.970 | 1.942 | 1.886 | 1.859 | 1.833 | 1.783 | 1.736 | 1.690 | 1.647 | 1.626 | 1.605 | 1.566 | 1.528 | 1.492 | 1.457 | 1.440 | 1.361 | 1.289 | 1.224 |
3 | 2.970 | 2.941 | 2.884 | 2.775 | 2.723 | 2.673 | 2.577 | 2.487 | 2.402 | 2.322 | 2.283 | 2.246 | 2.174 | 2.106 | 2.042 | 1.981 | 1.952 | 1.816 | 1.696 | 1.589 |
4 | 3.950 | 3.902 | 3.808 | 3.630 | 3.546 | 3.465 | 3.312 | 3.170 | 3.037 | 2.914 | 2.855 | 2.798 | 2.690 | 2.589 | 2.494 | 2.404 | 2.362 | 2.166 | 1.997 | 1.849 |
5 | 4.926 | 4.853 | 4.713 | 4.452 | 4.329 | 4.212 | 3.993 | 3.791 | 3.605 | 3.433 | 3.352 | 3.274 | 3.127 | 2.991 | 2.864 | 2.745 | 2.689 | 2.436 | 2.220 | 2.035 |
6 | 5.896 | 5.795 | 5.601 | 5.242 | 5.076 | 4.917 | 4.623 | 4.355 | 4.111 | 3.889 | 3.784 | 3.685 | 3.498 | 3.326 | 3.167 | 3.020 | 2.951 | 2.643 | 2.385 | 2.168 |
7 | 6.862 | 6.728 | 6.472 | 6.002 | 5.786 | 5.582 | 5.206 | 4.868 | 4.564 | 4.288 | 4.160 | 4.039 | 3.812 | 3.605 | 3.416 | 3.242 | 3.161 | 2.802 | 2.508 | 2.263 |
8 | 7.823 | 7.652 | 7.325 | 6.733 | 6.463 | 6.210 | 5.747 | 5.335 | 4.968 | 4.639 | 4.487 | 4.344 | 4.078 | 3.837 | 3.619 | 3.421 | 3.329 | 2.925 | 2.598 | 2.331 |
9 | 8.779 | 8.566 | 8.162 | 7.435 | 7.108 | 6.802 | 6.247 | 5.759 | 5.328 | 4.946 | 4.772 | 4.607 | 4.303 | 4.031 | 3.786 | 3.566 | 3.463 | 3.019 | 2.665 | 2.379 |
10 | 9.730 | 9.471 | 8.983 | 8.111 | 7.722 | 7.360 | 6.710 | 6.145 | 5.650 | 5.216 | 5.019 | 4.833 | 4.494 | 4.192 | 3.923 | 3.682 | 3.571 | 3.092 | 2.715 | 2.414 |
11 | 10.677 | 10.368 | 9.787 | 8.760 | 8.306 | 7.887 | 7.139 | 6.495 | 5.938 | 5.453 | 5.234 | 5.029 | 4.656 | 4.327 | 4.035 | 3.776 | 3.656 | 3.147 | 2.752 | 2.438 |
12 | 11.619 | 11.255 | 10.575 | 9.385 | 8.863 | 8.384 | 7.536 | 6.814 | 6.194 | 5.660 | 5.421 | 5.197 | 4.793 | 4.439 | 4.127 | 3.851 | 3.725 | 3.190 | 2.779 | 2.456 |
13 | 12.556 | 12.134 | 11.348 | 9.986 | 9.394 | 8.853 | 7.904 | 7.103 | 6.424 | 5.842 | 5.583 | 5.342 | 4.910 | 4.533 | 4.203 | 3.912 | 3.780 | 3.223 | 2.799 | 2.469 |
14 | 13.489 | 13.004 | 12.106 | 10.563 | 9.899 | 9.295 | 8.244 | 7.367 | 6.628 | 6.002 | 5.724 | 5.468 | 5.008 | 4.611 | 4.265 | 3.962 | 3.824 | 3.249 | 2.814 | 2.478 |
15 | 14.417 | 13.865 | 12.849 | 11.118 | 10.380 | 9.712 | 8.559 | 7.606 | 6.811 | 6.142 | 5.847 | 5.575 | 5.092 | 4.675 | 4.315 | 4.001 | 3.859 | 3.268 | 2.825 | 2.484 |
Exhibit A.8
Present Value of $1
Year | 1/2% | 1% | 2% | 4% | 5% | 6% | 8% | 10% | 12% | 14% | 15% | 16% | 18% | 20% | 22% | 24% | 25% | 30% | 35% | 40% |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1 | 0.995 | 0.990 | 0.980 | 0.962 | 0.952 | 0.943 | 0.926 | 0.909 | 0.893 | 0.877 |
0.870 |
0.862 | 0.847 | 0.833 | 0.820 | 0.806 | 0.800 | 0.769 | 0.741 | 0.714 |
2 | 0.990 | 0.980 | 0.961 | 0.925 | 0.907 | 0.890 | 0.857 | 0.826 | 0.797 | 0.769 | 0.756 | 0.743 | 0.718 | 0.694 | 0.672 | 0.650 | 0.640 | 0.592 | 0.549 | 0.510 |
3 | 0.985 | 0.971 | 0.942 | 0.889 | 0.864 | 0.840 | 0.794 | 0.751 | 0.712 | 0.675 | 0.658 | 0.641 | 0.609 | 0.579 | 0.551 | 0.524 | 0.512 | 0.455 | 0.406 | 0.364 |
4 | 0.980 | 0.961 | 0.924 | 0.855 | 0.823 | 0.792 | 0.735 | 0.683 | 0.636 | 0.592 | 0.572 | 0.552 | 0.516 | 0.482 | 0.451 | 0.423 | 0.410 | 0.350 | 0.301 | 0.260 |
5 | 0.975 | 0.951 | 0.906 | 0.822 | 0.784 | 0.747 | 0.681 | 0.621 | 0.567 | 0.519 | 0.497 | 0.476 | 0.437 | 0.402 | 0.370 | 0.341 | 0.328 | 0.269 | 0.223 | 0.186 |
6 | 0.971 | 0.942 | 0.888 | 0.790 | 0.746 | 0.705 | 0.630 | 0.564 | 0.507 | 0.456 | 0.432 | 0.410 | 0.370 | 0.335 | 0.303 | 0.275 | 0.262 | 0.207 | 0.165 | 0.133 |
7 | 0.966 | 0.933 | 0.871 | 0.760 | 0.711 | 0.665 | 0.583 | 0.513 | 0.452 | 0.400 | 0.376 | 0.354 | 0.314 | 0.279 | 0.249 | 0.222 | 0.210 | 0.159 | 0.122 | 0.095 |
8 | 0.961 | 0.923 | 0.853 | 0.731 | 0.677 | 0.627 | 0.540 | 0.467 | 0.404 | 0.351 | 0.327 | 0.305 | 0.266 | 0.233 | 0.204 | 0.179 | 0.168 | 0.123 | 0.091 | 0.068 |
9 | 0.956 | 0.914 | 0.837 | 0.703 | 0.645 | 0.592 | 0.500 | 0.424 | 0.361 | 0.308 | 0.284 | 0.263 | 0.225 | 0.194 | 0.167 | 0.144 | 0.134 | 0.094 | 0.067 | 0.048 |
10 | 0.951 | 0.905 | 0.820 | 0.676 | 0.614 | 0.558 | 0.463 | 0.386 | 0.322 | 0.270 | 0.247 | 0.227 | 0.191 | 0.162 | 0.137 | 0.116 | 0.107 | 0.073 | 0.050 | 0.035 |
11 | 0.947 | 0.896 | 0.804 | 0.650 | 0.585 | 0.527 | 0.429 | 0.350 | 0.287 | 0.237 | 0.215 | 0.195 | 0.162 | 0.135 | 0.112 | 0.094 | 0.086 | 0.056 | 0.037 | 0.025 |
12 | 0.942 | 0.887 | 0.788 | 0.625 | 0.557 | 0.497 | 0.397 | 0.319 | 0.257 | 0.208 | 0.187 | 0.168 | 0.137 | 0.112 | 0.092 | 0.076 | 0.069 | 0.043 | 0.027 | 0.018 |
13 | 0.937 | 0.879 | 0.773 | 0.601 | 0.530 | 0.469 | 0.368 | 0.290 | 0.229 | 0.182 | 0.163 | 0.145 | 0.116 | 0.093 | 0.075 | 0.061 | 0.055 | 0.033 | 0.020 | 0.013 |
14 | 0.933 | 0.870 | 0.758 | 0.577 | 0.505 | 0.442 | 0.340 | 0.263 | 0.205 | 0.160 | 0.141 | 0.125 | 0.099 | 0.078 | 0.062 | 0.049 | 0.044 | 0.025 | 0.015 | 0.009 |
15 | 0.928 | 0.861 | 0.743 | 0.555 | 0.481 | 0.417 | 0.315 | 0.239 | 0.183 | 0.140 | 0.123 | 0.108 | 0.084 | 0.065 | 0.051 | 0.040 | 0.035 | 0.020 | 0.011 | 0.006 |
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