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.  Required: Compute the present value of the tax shield resulting from depreciation.   2. Compute the present value of the tax shield from depreciation assuming straight-line depreciation ($169,000 per year).

FINANCIAL ACCOUNTING
10th Edition
ISBN:9781259964947
Author:Libby
Publisher:Libby
Chapter1: Financial Statements And Business Decisions
Section: Chapter Questions
Problem 1Q
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Question

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. 

Required:

  1. Compute the present value of the tax shield resulting from depreciation.

 

2. Compute the present value of the tax shield from depreciation assuming straight-line depreciation ($169,000 per year).

 

Exhibit A.9
Present Value of an Annuity of $1
Year 1/2%
1
2
0.995
1.985 1.970
2.970
3.950
4.926
5.896
6.862
7.823
8.779
10
9.730
11 10.677
12
13
14
15
3
4
5
25%
30% 35% 40%
1% 2%
0.990 0.980
1.942
2.941 2.884
3.902 3.808
4.853 4.713
5.795 5.601
6.728 6.472
4% 5% 6% 8% 10% 12% 14% 15% 16% 18% 20% 22%
24%
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
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
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
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
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
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
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
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
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
7.722
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
8.306
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
9.385 8.863 8.384
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
7.103 6.424 5.842 5.583 5.342 4.910 4.533 4.203
3.780 3.223
6.002
6.811 6.142
7.652
7.325
8.566
8.162
9.471
8.983
8.111
10.368 9.787
8.760
7.360 6.710
7.887 7.139
7.536
11.619 11.255 10.575
12.556 12.134 11.348 9.986
9.394 8.853
7.904
3.912
2.799
2.469
9.899 9.295
8.244
7.367
6.628
5.724 5.468 5.008
3.962
3.824 3.249
2.814
2.478
13.489 13.004 12.106 10.563
14.417 13.865 12.849 11.118 10.380 9.712 8.559
4.611 4.265
4.675 4.315 4.001 3.859
7.606
5.847 5.575 5.092
3.268
2.825
2.484
6
7
8
9
ان اسلالوار امامات
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Transcribed Image Text:Exhibit A.9 Present Value of an Annuity of $1 Year 1/2% 1 2 0.995 1.985 1.970 2.970 3.950 4.926 5.896 6.862 7.823 8.779 10 9.730 11 10.677 12 13 14 15 3 4 5 25% 30% 35% 40% 1% 2% 0.990 0.980 1.942 2.941 2.884 3.902 3.808 4.853 4.713 5.795 5.601 6.728 6.472 4% 5% 6% 8% 10% 12% 14% 15% 16% 18% 20% 22% 24% 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 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 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 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 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 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 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 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 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 7.722 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 8.306 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 9.385 8.863 8.384 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 7.103 6.424 5.842 5.583 5.342 4.910 4.533 4.203 3.780 3.223 6.002 6.811 6.142 7.652 7.325 8.566 8.162 9.471 8.983 8.111 10.368 9.787 8.760 7.360 6.710 7.887 7.139 7.536 11.619 11.255 10.575 12.556 12.134 11.348 9.986 9.394 8.853 7.904 3.912 2.799 2.469 9.899 9.295 8.244 7.367 6.628 5.724 5.468 5.008 3.962 3.824 3.249 2.814 2.478 13.489 13.004 12.106 10.563 14.417 13.865 12.849 11.118 10.380 9.712 8.559 4.611 4.265 4.675 4.315 4.001 3.859 7.606 5.847 5.575 5.092 3.268 2.825 2.484 6 7 8 9 ان اسلالوار امامات ahal Jud ..... ala-
Exhibit A.8
Present Value of $1
Year 1/2%
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
1%
0.995 0.990
0.990 0.980
0.985 0.971
8% 10% 12% 14% 15% 16% 18% 20% 22% 24% 25% 30% 35% 40%
0.800 0.769 0.741 0.714
0.640 0.592 0.549 0.510
0.512 0.455 0.406 0.364
0.410 0.350 0.301 0.260
0.328 0.269 0.223 0.186
0.262 0.207 0.165 0.133
0.210 0.159 0.122 0.095
0.980 0.961
0.975 0.951 0.906
2% 4% 5% 6%
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
0.961 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
0.942 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
0.924 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
0.822 0.784 0.747 0.681 0.621 0.567 0.519 0.497 0.476 0.437 0.402 0.370 0.341
0.971 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
0.966 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
0.961 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
0.956 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
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
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
0.788 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
0.937 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
0.933 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
0.928 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
0.168 0.123 0.091 0.068
0.025
0.942 0.887
0.013
0.033 0.020
0.025 0.015 0.009
0.020 0.011 0.006
▬▬▬▬▬▬▬▬
0.018
Transcribed Image Text:Exhibit A.8 Present Value of $1 Year 1/2% 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 1% 0.995 0.990 0.990 0.980 0.985 0.971 8% 10% 12% 14% 15% 16% 18% 20% 22% 24% 25% 30% 35% 40% 0.800 0.769 0.741 0.714 0.640 0.592 0.549 0.510 0.512 0.455 0.406 0.364 0.410 0.350 0.301 0.260 0.328 0.269 0.223 0.186 0.262 0.207 0.165 0.133 0.210 0.159 0.122 0.095 0.980 0.961 0.975 0.951 0.906 2% 4% 5% 6% 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 0.961 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 0.942 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 0.924 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 0.822 0.784 0.747 0.681 0.621 0.567 0.519 0.497 0.476 0.437 0.402 0.370 0.341 0.971 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 0.966 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 0.961 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 0.956 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 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 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 0.788 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 0.937 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 0.933 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 0.928 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 0.168 0.123 0.091 0.068 0.025 0.942 0.887 0.013 0.033 0.020 0.025 0.015 0.009 0.020 0.011 0.006 ▬▬▬▬▬▬▬▬ 0.018
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