Freedom Corporation acquired a fixed asset for $230,000. Its estimated life at time of purchase was 4 years, with no estimated salvage value. Assume a discount rate of 5% and an income tax rate of 40%. (Use Exhibit 12.4, Appendix C, TABLE 1 and Appendix C, TABLE 2.)   Required: 1. What is the incremental present value of the tax benefits resulting from calculating depreciation using the sum-of-the-years’-digits (SYD) method rather than the straight-line (SLN) method on this asset? Use the SYD and SLN functions in Excel to calculate depreciation charges. 2. What is the incremental present value of the tax benefits resulting from calculating depreciation using the double-declining-balance (DDB) method rather than the straight-line (SLN) method on this asset? Use the SLN and DDB functions in Excel to calculate depreciation charges. 3. What is the incremental present value of the tax benefits resulting from using MACRS rather than straight-line (SLN) depreciation? The asset qualifies as a 3-year asset. Use the half-year convention. Exhibit 12.4 MACRS Depreciation Rates Year 3-year 5 year 7 year 10 year  15 year 20 year 1 33.33 20.00 14.29 10.00 5.00 3.75 2 44.45 32.00 24.49 18.00 9.50 7.22 3 14.81 19.20 17.49 14.40 8.55 6.68 4 7.31 11.52* 12.49 11.52 7.70 6.18 5   11.52 8.93 * 9.22 6.93 5.71 6   5.76 8.92 7.37 6.23 5.28 7     8.92 6.55* 5.90* 4.89 8     4.47 6.55 5.90 4.52 9       6.56 5.91 4.46* 10       6.55 5.90 4.46 11       3.28 etc etc

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
Section: Chapter Questions
Problem 1PS
icon
Related questions
Question

Freedom Corporation acquired a fixed asset for $230,000. Its estimated life at time of purchase was 4 years, with no estimated salvage value. Assume a discount rate of 5% and an income tax rate of 40%. (Use Exhibit 12.4, Appendix C, TABLE 1 and Appendix C, TABLE 2.)

 

Required:

1. What is the incremental present value of the tax benefits resulting from calculating depreciation using the sum-of-the-years’-digits (SYD) method rather than the straight-line (SLN) method on this asset? Use the SYD and SLN functions in Excel to calculate depreciation charges.

2. What is the incremental present value of the tax benefits resulting from calculating depreciation using the double-declining-balance (DDB) method rather than the straight-line (SLN) method on this asset? Use the SLN and DDB functions in Excel to calculate depreciation charges.

3. What is the incremental present value of the tax benefits resulting from using MACRS rather than straight-line (SLN) depreciation? The asset qualifies as a 3-year asset. Use the half-year convention.

Exhibit 12.4 MACRS Depreciation Rates

Year 3-year 5 year 7 year 10 year  15 year 20 year
1 33.33 20.00 14.29 10.00 5.00 3.75
2 44.45 32.00 24.49 18.00 9.50 7.22
3 14.81 19.20 17.49 14.40 8.55 6.68
4 7.31 11.52* 12.49 11.52 7.70 6.18
5   11.52 8.93 * 9.22 6.93 5.71
6   5.76 8.92 7.37 6.23 5.28
7     8.92 6.55* 5.90* 4.89
8     4.47 6.55 5.90 4.52
9       6.56 5.91 4.46*
10       6.55 5.90 4.46
11       3.28 etc etc

*First year of switching to the Straight-line method

TABLE 1
Present Value of $1
Periods 4%
5%
6%
7%
8%
9%
10%
11%
12%
13%
14%
15%
20%
25%
30%
1
0.962 0.952 0.943 0.935 0.926 0.917 0.909 0.901 0.893 0.885 0.877 0.870 0.833 0.800 0.769
2
0.925 0.907 0.890 0.873 0.857 0.842 0.826 0.812 0.797 0.783 0.769 0.756 0.694 0.640 0.592
3
0.889 0.864 0.840 0.816 0.794 0.772 0.751 0.731 0.712 0.693 0.675 0.658 0.579 0.512 0.455
4
0.855 0.823 0.792 0.763 0.735 0.708 0.683 0.659 0.636 0.613 0.592 0.572 0.482 0.410 0.350
0.822 0.784 0.747 0.713 0.681 0.650 0.621 0.593 0.567 0.543 0.519 0.497 0.402 0.328 0.269
0.790 0.746 0.705 0.666 0.630 0.596 0.564 0.535 0.507 0.480 0.456 0.432 0.335 0.262 0.207
7
0.760 0.711 0.665 0.623 0.583 0.547 0.513 0.482 0.452 0.425 0.400 0.376 0.279 0.210 0.159
0.731 0.677 0.627 0.582 0.540 0.502 0.467 0.434 0.404 0.376 0.351 0.327 0.233 0.168 0.123
9.
0.703 0.645 0.592 0.544 0.500 0.460 0.424 0.391 0.361 0.333 0.308 0.284 0.194 0.134 0.094
10
0.676 0.614 0.558 0.508 0.463 0.422 0.386 0.352 0.322 0.295 0.270 0.247 0.162 0.107 0.073
11
0.650 0.585 0.527 0.475 0.429 0.388 0.350 0.317 0.287 0.261 0.237 0.215 0.135 0.086 0.056
12
0.625 0.557 0.497 0.444 0.397 0.356 0.319 0.286 0.257 0.231 0.208 0.187 0.112 0.069 0.043
13
0.601 0.530 0.469 0.415 0.368 0.326 0.290 0.258 0.229 0.204 0.182 0.163 0.093 0.055 0.033
14
0.577 0.505 0.442 0.388 0.340 0.299 0.263 0.232 0.205 0.181 0.160 0.141 0.078 0.044 0.025
15
0.555 0.481 0.417 0.362 0.315 0.275 0.239 0.209 0.183 0.160 0.140 0.123 0.065 0.035 0.020
16
0.534 0.458 0.394 0.339 0.292 0.252 0.218 0.188 0.163 0.141 0.123 0.107 0.054 0.028 0.015
17
0.513 0.436 0.371 0.317 0.270 0.231 0.198 0.170 0.146 0.125 0.10S 0.093 0.045 0.023 0.012
18
0.494 0.416 0.350 0.296 0.250 0.212 0.180 0.153 0.130 0.111 0.095 0.081 0.038 0.018 0.009
19
0.475 0.396 0.331 0.277 0.232 0.194 0.164 0.138 0.116 0.098 0.083 0.070 0.031 0.014 0.007
20
0.456 0.377 0.312 0.258 0.215 0.178 0.149 0.124 0.104 0.087 0.073 0.061 0.026 0.012 0.005
22
0.422 0.342 0.278 0.226 0.184 0.150 0.123 0.101 0.083 0.068 0.056 0.046 0.018 0.007 0.003
24
0.390 0.310 0.247 0.197 0.158 0.126 0.102 0.082 0.066 0.053 0.043 0.035 0.013 0.005 0.002
25
0.375 0.295 0.233 0.184 0.146 0.116 0.092 0.074 0.059 0.047 0.038 0.030 0.010 0.004 0.001
30
0.308 0.231 0.174 0.131 0.099 0.075 0.057 0.044 0.033 0.026 0.020 0.015 0.004 0.001 0.000
35
0.253 0.181 0.130 0.094 0.068 0.049 0.036 0.026 0.019 0.014 0.010 0.008 0.002 0.000 0.000
40
0.208 0.142 0.097 0.067 0.046 0.032 0.022 0.015 0.011 0.008 0.005 0.004 0.001 0.000 0.000
Note: The present value (PV) factor for N periods and rate r per period = 1- (1+ r)N. For example, the PV factor for 10%, 5 years = 1 = (1+0.10) = 0.621
(rounded).
Transcribed Image Text:TABLE 1 Present Value of $1 Periods 4% 5% 6% 7% 8% 9% 10% 11% 12% 13% 14% 15% 20% 25% 30% 1 0.962 0.952 0.943 0.935 0.926 0.917 0.909 0.901 0.893 0.885 0.877 0.870 0.833 0.800 0.769 2 0.925 0.907 0.890 0.873 0.857 0.842 0.826 0.812 0.797 0.783 0.769 0.756 0.694 0.640 0.592 3 0.889 0.864 0.840 0.816 0.794 0.772 0.751 0.731 0.712 0.693 0.675 0.658 0.579 0.512 0.455 4 0.855 0.823 0.792 0.763 0.735 0.708 0.683 0.659 0.636 0.613 0.592 0.572 0.482 0.410 0.350 0.822 0.784 0.747 0.713 0.681 0.650 0.621 0.593 0.567 0.543 0.519 0.497 0.402 0.328 0.269 0.790 0.746 0.705 0.666 0.630 0.596 0.564 0.535 0.507 0.480 0.456 0.432 0.335 0.262 0.207 7 0.760 0.711 0.665 0.623 0.583 0.547 0.513 0.482 0.452 0.425 0.400 0.376 0.279 0.210 0.159 0.731 0.677 0.627 0.582 0.540 0.502 0.467 0.434 0.404 0.376 0.351 0.327 0.233 0.168 0.123 9. 0.703 0.645 0.592 0.544 0.500 0.460 0.424 0.391 0.361 0.333 0.308 0.284 0.194 0.134 0.094 10 0.676 0.614 0.558 0.508 0.463 0.422 0.386 0.352 0.322 0.295 0.270 0.247 0.162 0.107 0.073 11 0.650 0.585 0.527 0.475 0.429 0.388 0.350 0.317 0.287 0.261 0.237 0.215 0.135 0.086 0.056 12 0.625 0.557 0.497 0.444 0.397 0.356 0.319 0.286 0.257 0.231 0.208 0.187 0.112 0.069 0.043 13 0.601 0.530 0.469 0.415 0.368 0.326 0.290 0.258 0.229 0.204 0.182 0.163 0.093 0.055 0.033 14 0.577 0.505 0.442 0.388 0.340 0.299 0.263 0.232 0.205 0.181 0.160 0.141 0.078 0.044 0.025 15 0.555 0.481 0.417 0.362 0.315 0.275 0.239 0.209 0.183 0.160 0.140 0.123 0.065 0.035 0.020 16 0.534 0.458 0.394 0.339 0.292 0.252 0.218 0.188 0.163 0.141 0.123 0.107 0.054 0.028 0.015 17 0.513 0.436 0.371 0.317 0.270 0.231 0.198 0.170 0.146 0.125 0.10S 0.093 0.045 0.023 0.012 18 0.494 0.416 0.350 0.296 0.250 0.212 0.180 0.153 0.130 0.111 0.095 0.081 0.038 0.018 0.009 19 0.475 0.396 0.331 0.277 0.232 0.194 0.164 0.138 0.116 0.098 0.083 0.070 0.031 0.014 0.007 20 0.456 0.377 0.312 0.258 0.215 0.178 0.149 0.124 0.104 0.087 0.073 0.061 0.026 0.012 0.005 22 0.422 0.342 0.278 0.226 0.184 0.150 0.123 0.101 0.083 0.068 0.056 0.046 0.018 0.007 0.003 24 0.390 0.310 0.247 0.197 0.158 0.126 0.102 0.082 0.066 0.053 0.043 0.035 0.013 0.005 0.002 25 0.375 0.295 0.233 0.184 0.146 0.116 0.092 0.074 0.059 0.047 0.038 0.030 0.010 0.004 0.001 30 0.308 0.231 0.174 0.131 0.099 0.075 0.057 0.044 0.033 0.026 0.020 0.015 0.004 0.001 0.000 35 0.253 0.181 0.130 0.094 0.068 0.049 0.036 0.026 0.019 0.014 0.010 0.008 0.002 0.000 0.000 40 0.208 0.142 0.097 0.067 0.046 0.032 0.022 0.015 0.011 0.008 0.005 0.004 0.001 0.000 0.000 Note: The present value (PV) factor for N periods and rate r per period = 1- (1+ r)N. For example, the PV factor for 10%, 5 years = 1 = (1+0.10) = 0.621 (rounded).
TABLE 2
Present Value of Annuity of $1
Periods 4%
5%
6%
7%
8%
9%
10%
11%
12%
13%
14%
15%
20%
25%
30%
1
0.962
0.952
0.943 0.935
0.926 0.917 0.909 0.901 0.893 0.885 0.877 0.870 0.833 0.800 0.769
2
1.886
1.859
1.833
1.808
1.783
1.759 1.736 1.713 1.690 1.668 1.647 1.626 1.528 1.440 1.361
3
2.775
2.723 2.673 2.624
2.577
2.531 2.487 2.444 2.402 2.361 2.322 2.283 2.106 1.952 1.816
4
3.630
3.546 3.465 3.387
3.312 3.240 3.170 3.102 3.037 2.974 2.914 2.855 2.589 2.362 2.166
4.452
4.329 4.212
4.100
3.993
3.890 3.791 3.696 3.605 3.517 3.433 3.352 2.991 2.689 2.436
6
5.242
5.076 4.917 4.767 4.623
4.486 4.355 4.231 4.111 3.998 3.889 3.784 3.326 2.951 2.643
7
6.002
5.786 5.582 5.389 5.206
5.033 4.868 4.712 4.564 4.423 4.288 4.160 3.605 3.161 2.802
6.733
6.463
6.210 5.971
5.747 5.535 5.335 5.146 4.968 4.799 4.639 4.487 3.837 3.329 2.925
9.
7.435
7.108 6.802 6.515
6.247
5.995 5.759 5.537 5.328 5.132 4.946 4.772 4.031 3.463 3.019
10
8.111
7.722 7.360 7.024
6.710 6.418 6.145 5.889 5.650 5.426 5.216 5.019 4.192 3.571 3.092
11
8.760 8.306 7.887 7.499
7.139
6.805 6.495 6.207 5.938 5.687 5.453 5.234 4.327 3.656 3.147
12
9.385
S.863 8.384
7.943
7.536
7.161 6.814 6.492 6.194 5.918 5.660 5.421 4.439 3.725 3.190
13
9.986 9.394
S.853
S.358
7.904
7.487 7.103 6.750 6.424 6.122 5.842 5.583 4.533 3.780 3.223
14
10.563 9.899 9.295
S.745
8.244
7.786 7.367 6.982 6.628 6.302 6.002 5.724 4.611 3.824 3.249
15
11.118 10.380 9.712
9.108
8.559
S.061 7.606 7.191 6.811 6.462 6.142 5.847 4.675 3.859 3.268
16
11.652 10.838 10.106
9.447
8.851
8.313 7.824 7.379 6.974 6.604 6.265 5.954 4.730 3.887 3.283
17
12.166 11.274 10.477 9.763
9.122 8.544 8.022 7.549 7.120 6.729 6.373 6.047 4.775 3.910 3.295
18
12.659 11.690 10.828 10.059
9.372 8.756 8.201 7.702 7.250 6.840 6.467 6.128 4.812 3.928 3.304
19
13.134 12.085 11.158 10.336
9.604
S.950 8.365 7.839 7.366 6.938 6.550 6.198 4.843 3.942 3.311
20
13.590 12.462 11.470 10.594 9.818 9.129 8.514 7.963 7.469 7.025 6.623 6.259 4.870 3.954 3.316
22
14.451 13.163 12.042 11.061 10.201
9.442 8.772 8.176 7.645 7.170 6.743 6.359 4.909 3.970 3.323
24
15.247 13.799 12.550 11.469 10.529
9.707 8.985 8.348 7.784 7.283 6.835 6.434 4.937 3.981 3.327
25
15.622 14.094 12.783 11.654 10.675 9.823 9.077 8.422 7.843 7.330 6.873 6.464 4.948 3.985 3.329
30
17.292 15.372 13.765 12.409 11.258 10.274 9.427 8.694 8.055 7.496 7.003 6.566 4.979 3.995 3.332
35
18.665 16.374 14.498 12.948 11.655 10.567 9.644 8.355 S.176 7.586 7.070 6.617 4.992 3.998 3.333
40
19.793 17.159 15.046 13.332 11.925 10.757 9.779 8.951 8.244 7.634 7.105 6.642 4.997 3.999 3.333
Note: The present value (PV) annuity factor for N periods and a rate of r per period = [1 - (1+r)- = r. For example, for N = 5 and r= 0.10, the PV annuity
factor = 3.791 (rounded).
Transcribed Image Text:TABLE 2 Present Value of Annuity of $1 Periods 4% 5% 6% 7% 8% 9% 10% 11% 12% 13% 14% 15% 20% 25% 30% 1 0.962 0.952 0.943 0.935 0.926 0.917 0.909 0.901 0.893 0.885 0.877 0.870 0.833 0.800 0.769 2 1.886 1.859 1.833 1.808 1.783 1.759 1.736 1.713 1.690 1.668 1.647 1.626 1.528 1.440 1.361 3 2.775 2.723 2.673 2.624 2.577 2.531 2.487 2.444 2.402 2.361 2.322 2.283 2.106 1.952 1.816 4 3.630 3.546 3.465 3.387 3.312 3.240 3.170 3.102 3.037 2.974 2.914 2.855 2.589 2.362 2.166 4.452 4.329 4.212 4.100 3.993 3.890 3.791 3.696 3.605 3.517 3.433 3.352 2.991 2.689 2.436 6 5.242 5.076 4.917 4.767 4.623 4.486 4.355 4.231 4.111 3.998 3.889 3.784 3.326 2.951 2.643 7 6.002 5.786 5.582 5.389 5.206 5.033 4.868 4.712 4.564 4.423 4.288 4.160 3.605 3.161 2.802 6.733 6.463 6.210 5.971 5.747 5.535 5.335 5.146 4.968 4.799 4.639 4.487 3.837 3.329 2.925 9. 7.435 7.108 6.802 6.515 6.247 5.995 5.759 5.537 5.328 5.132 4.946 4.772 4.031 3.463 3.019 10 8.111 7.722 7.360 7.024 6.710 6.418 6.145 5.889 5.650 5.426 5.216 5.019 4.192 3.571 3.092 11 8.760 8.306 7.887 7.499 7.139 6.805 6.495 6.207 5.938 5.687 5.453 5.234 4.327 3.656 3.147 12 9.385 S.863 8.384 7.943 7.536 7.161 6.814 6.492 6.194 5.918 5.660 5.421 4.439 3.725 3.190 13 9.986 9.394 S.853 S.358 7.904 7.487 7.103 6.750 6.424 6.122 5.842 5.583 4.533 3.780 3.223 14 10.563 9.899 9.295 S.745 8.244 7.786 7.367 6.982 6.628 6.302 6.002 5.724 4.611 3.824 3.249 15 11.118 10.380 9.712 9.108 8.559 S.061 7.606 7.191 6.811 6.462 6.142 5.847 4.675 3.859 3.268 16 11.652 10.838 10.106 9.447 8.851 8.313 7.824 7.379 6.974 6.604 6.265 5.954 4.730 3.887 3.283 17 12.166 11.274 10.477 9.763 9.122 8.544 8.022 7.549 7.120 6.729 6.373 6.047 4.775 3.910 3.295 18 12.659 11.690 10.828 10.059 9.372 8.756 8.201 7.702 7.250 6.840 6.467 6.128 4.812 3.928 3.304 19 13.134 12.085 11.158 10.336 9.604 S.950 8.365 7.839 7.366 6.938 6.550 6.198 4.843 3.942 3.311 20 13.590 12.462 11.470 10.594 9.818 9.129 8.514 7.963 7.469 7.025 6.623 6.259 4.870 3.954 3.316 22 14.451 13.163 12.042 11.061 10.201 9.442 8.772 8.176 7.645 7.170 6.743 6.359 4.909 3.970 3.323 24 15.247 13.799 12.550 11.469 10.529 9.707 8.985 8.348 7.784 7.283 6.835 6.434 4.937 3.981 3.327 25 15.622 14.094 12.783 11.654 10.675 9.823 9.077 8.422 7.843 7.330 6.873 6.464 4.948 3.985 3.329 30 17.292 15.372 13.765 12.409 11.258 10.274 9.427 8.694 8.055 7.496 7.003 6.566 4.979 3.995 3.332 35 18.665 16.374 14.498 12.948 11.655 10.567 9.644 8.355 S.176 7.586 7.070 6.617 4.992 3.998 3.333 40 19.793 17.159 15.046 13.332 11.925 10.757 9.779 8.951 8.244 7.634 7.105 6.642 4.997 3.999 3.333 Note: The present value (PV) annuity factor for N periods and a rate of r per period = [1 - (1+r)- = r. For example, for N = 5 and r= 0.10, the PV annuity factor = 3.791 (rounded).
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 6 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Essentials Of Investments
Essentials Of Investments
Finance
ISBN:
9781260013924
Author:
Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:
Mcgraw-hill Education,
FUNDAMENTALS OF CORPORATE FINANCE
FUNDAMENTALS OF CORPORATE FINANCE
Finance
ISBN:
9781260013962
Author:
BREALEY
Publisher:
RENT MCG
Financial Management: Theory & Practice
Financial Management: Theory & Practice
Finance
ISBN:
9781337909730
Author:
Brigham
Publisher:
Cengage
Foundations Of Finance
Foundations Of Finance
Finance
ISBN:
9780134897264
Author:
KEOWN, Arthur J., Martin, John D., PETTY, J. William
Publisher:
Pearson,
Fundamentals of Financial Management (MindTap Cou…
Fundamentals of Financial Management (MindTap Cou…
Finance
ISBN:
9781337395250
Author:
Eugene F. Brigham, Joel F. Houston
Publisher:
Cengage Learning
Corporate Finance (The Mcgraw-hill/Irwin Series i…
Corporate Finance (The Mcgraw-hill/Irwin Series i…
Finance
ISBN:
9780077861759
Author:
Stephen A. Ross Franco Modigliani Professor of Financial Economics Professor, Randolph W Westerfield Robert R. Dockson Deans Chair in Bus. Admin., Jeffrey Jaffe, Bradford D Jordan Professor
Publisher:
McGraw-Hill Education