The management of Kunkel Company is considering the purchase of a $41,000 machine that would reduce operating costs by $9,000 per year. At the end of the machine’s five-year useful life, it will have zero salvage value. The company’s required rate of return is 12%.
Click here to view Exhibit 12B-1 and Exhibit 12B-2, to determine the appropriate discount factor(s) using table.
Required:
1. Determine the net present value of the investment in the machine.
2. What is the difference between the total, undiscounted cash inflows and cash outflows over the entire life of the machine?
Transcribed Image Text: EXHIBIT 12B-2 Present Value of an Annuity of $1 in Arrears; 1
Periods 4%
5%
6%
7%
8%
9%
10%
11%
12%
13%
14%
15%
16%
17%
18%
19%
20% 21%
22%
23%
24%
25%
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 0.862 0.855 0,847 0,840 0.833 0,826 0,820 0.813 0,806 0.800
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 1.605 1.585 1.566 1.547 1.528 1.509 1.492 1.474 1.457 1.440
2.775
2.723
2.673
2.624
2.577
2.531 2.487 2.444 2.402 2.361 2.322 2.283 2.246 2.210 2.174 2.140 2.106 2.074 2.042 2.011 1.981 1.952
3.630
3.546
3.465
3.387
3.312
3.240 3.170
3.102
3.037 2.974 2.914 2.855 2.798 2.743 2.690 2.639 2.589 2.540 2.494 2.448 2.404 2.362
4.452
4.329
4.212
4.100
3.993
3.890 3.791
3.696 3.605 3.517 3.433 3.352 3.274 3.199 3.127 3.058 2.991 2.926 2.864 2.803 2.745 2.689
5.242
5.076
4.917
4.767
4.623
4.486 4.355 4.231 4.111
3.998 3.889 3.784 3.685 3.589 3.498 3.410
3.326 3.245 3.167
3.092 3.020 2.951
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 4.039 3.922 3.812 3.706 3.605 3.508 3.416 3.327 3.242 3.161
8
6.733
6.463
6.210
5.971
5.747
5.535 5.335 5.146
4.968 4799
4.639 4.487
4.344 4.207 4.078 3.954 3.837 3.726 3.619 3.518 3.421 3.329
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 4.607 4.451 4.303 4.163
4.031 3.905 3.786 3.673 3.566 3.463
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 4.833 4.659 4.494 4.339 4.192 4.054 3.923 3.799 3.682 3.571
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 5.029 4.836 4.656 4.486 4.327 4.177
4.035 3.902 3.776 3.656
12
9.385 8.863
8.384
7.943
7.536
7.161
6.814 6.492 6.194 5.918
5.660 5.421 5.197 4.988 4.793 4.611
4.439 4.278 4127
3.985 3.851 3.725
13
9.986 9.394
8.853
8.358
7.904
7.487 7.103
6,750 6.424 6.122 5.842 5.583 5.342 5.118
4.910 4715
4.533 4.362 4.203 4.053 3.912
3.780
14
10.563 9.899
9.295
8.745
8.244
7.786
7.367 6.982 6.628 6.302 6.002 5.724 5.468 5.229 5.008 4.802 4.611
4.432 4.265 4.108 3.962 3.824
15
11.118
10.380
9.712
9.108
8.559
8.061
7,606 7191
6.811
6.462
6.142 5,847 5.575 5.324 5.092 4.876 4675 4.489 4.315 4153
4,001 3.859
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 5.668 5.405 5.162 4.938 4.730 4.536 4.357 4.189
4.033 3.887
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 5.749 5.475 5.222 4.990 4.775 4.576 4.391 4.219 4.059 3.910
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 5.818 5.534 5.273 5.033 4.812 4.608 4.419 4.243 4.080 3.928
19
13.134
12.085 11.158
10.336
9.604
8.950 8.365 7.839 7.366 6.938 6.550 6.198 5.877 5.584 5.316 5.070 4.843 4.635 4.442 4.263 4.097 3.942
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 5.929 5.628 5.353 5.101
4.870 4.657 4.460 4.279 4.110
3.954
21
14.029 12.821 11.764
10.836 10,017
9.292 8.649 8.075 7562
7.102
6.687 6.312 5.973 5.665 5.384 5.127
4.891 4.675 4.476 4.292 4.121
3.963
22
14.451
13.163 12.042 11.061
10.201
9.442 8.772 8.176 7.645 7170
6.743 6.359 6.011 5.696 5.410 5.149
4.909 4.690 4.488 4.302 4.130
3.970
23
14.857 13.489 12.303 11.272 10.371
9.580 8.883 8.266 7.718
7.230 6.792 6.399 6.044 5.723 5.432 5.167
4.925 4703 4499 4.311
4.137
3.976
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 6.073 5.746 5.451 5.182
4.937 4.713
4.507 4.318 4.143
3.981
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 6.097 5.766 5.467 5.195 4.948 4.721
4.514
4.323 4.147
3.985
26
15.983 14.375 13.003 11.826
10.810
9.929 9.161
8.488 7.896
7.372 6.906 6.491 6.118
5.783 5.480 5.206 4.956 4.728 4.520 4.328 4.151
3.988
27
16.330 14.643 13.211
11.987 10.935 10.027 9.237 8.548 7.943 7.409 6.935 6.514 6.136 5.798 5.492 5.215 4.964 4.734 4.524 4.332 4.154 3.990
28
16.663 14.898 13.406 12.137
11.051
10.116
9.307 8.602 7.984 7.441
6.961 6,534 6.152 5.810 5.502 5.223 4970 4739 4528 4.335 4157
3.992
29
16.984 15.141 13.591 12.278 11.158
10.198 9.370 8.650 8.022 7.470 6.983 6.551 6.166 5.820 5.510 5.229 4.975 4.743 4.531 4.337 4.159
3.994
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 6.177
5.829 5.517
5.235 4.979 4.746 4.534 4.339 4.160
3.995
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 6.233 5.871 5.548 5.258 4.997 4.760 4.544 4.347 4.166
3.999
Transcribed Image Text: EXHIBIT 12B-1 Present Value of $1;
(1+r)"
Periods 4%
5%
6%
7%
8%
9%
10%
11%
12%
13%
14%
15%
16%
17%
18%
19%
20%
21%
22%
23%
24%
25%
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 0,862 0,855 0.847
0.840 0.833 0,826 0.820 0,813 0,806 0.800
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 0.743 0.731
0.718
0.706 0.694 0.683 0.672 0.661 0.650 0.640
0.889 0,864 0,840 0.816 0,794 0,772 0,751 0.731 0,712 0.693 0,675 0.658 0,641
0.624 0.609 0.593 0.579 0.564 0.551 0.537 0.524 0.512
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 0.552 0.534 0.516
0.499 0.482 0.467 0.451 0.437 0.423 0.410
0.822 0,784 0,747 0,713 0,681 0,650 0,621 0.593 0.567 0.543 0,519
0.497
0.476
0.456 0.437
0.419
0.402 0.386 0.370 0.355 0.341 0.328
0.790 0.746 0.705 0.666 0.630 0.596 0.564 0.535 0.507 0.480 0.456 0.432 0.410 0.390 0.370
0.352 0.335 0.319 0.303 0.289 0.275 0.262
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 0.354 0.333 0.314
0.296 0.279 0.263 0.249 0.235 0.222 0.210
0.731 0.677 0.627 0.582 0.540 0.502 0.467 0.434 0.404 0.376 0.351 0.327 0.305 0.285 0.266 0.249 0.233 0.218 0.204 0.191 0.179 0.168
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 0.263 0.243 0.225 0.209 0.194 0.180 0.167 0.155 0.144 0.134
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 0.227 0.208 0.191
0.176
0.162 0.149 0.137 0.126 0116 0.107
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
0.195
0.178
0.162
0.148
0.135 0.123 0.112
0.103
0.094 0.086
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
0.168
0.152
0.137
0.124 0.112 0.102 0.092 0.083 0.076 0.069
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 0.145
0.130
0.116
0.104 0.093 0,084 0,075 0,068 0.061 0.055
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
0125
0.111
0.099 0.088 0.078 0.069 0.062 0.055 0.049 0.044
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
0.108 0.095 0.084 0.074 0.065 0.057 0.051 0.045 0.040 0.035
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
0.093 0.081 0,071
0.062 0.054 0.047 0.042 0.036 0.032 0.028
17
0.513 0.436 0.371 0.317 0.270 0.231 0.198 0.170 0.146 0.125
0.108 0.093 0.080 0.069 0.060 0.052 0.045 0.039 0.034 0.030 0.026 0.023
18
0.494 0.416 0.350 0.296 0.250 0.212 0.180 0.153 0.130 0.11
0.095 0.081 0069 0.059 0,051
0.044 0.038 0.032 0.028 0.024 0.021 0.018
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 0.060 0.051 0.043 0.037 0.031 0.027 0.023 0.020 0.017 0.014
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 0.051 0.043 0.037 0.031 0.026 0.022 0.019 0.016 0.014 0.012
21
0.439 0.359 0.294 0.242 0.199 0.164 0.135 0.112
0.093 0.077 0.064 0.053 0.044 0.037 0.031
0.026 0.022 0.018 0.015 0.013 0.011 0.009
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 0.038 0.032 0.026 0.022 0.018 0.015 0.013 0.011 0.009 0.007
23
0.406 0.326 0.262 0.211 0.170 0.138 0.112 0.091 0.074 0.060 0.049 0.040 0.033 0.027 0.022 0.018 0.015 0.012 0.010 0.009 0.007 0.006
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 0.028 0.023 0.019
0.015 0.013 0.010 0.008 0.007 0.006 0.005
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 0.024 0.020 0.016
0.013 0.010 0.009 0.007 0.006 0.005 0.004
26
0.361 0.281 0.220 0.172 0.135 0.106 0.084 0.066 0.053 0.042 0.033 0.026 0.021 0.017 0.014
0.011
0.009 0.007 0.006 0.005 0.004 0.003
27
0.347 0.268 0.207 0.161
0.125 0.098 0.076 0.060 0.047 0.037 0.029 0.023 0.018 0.014 0.011
0.009 0.007 0.006 0.005 0.004 0.003 0.002
28
0.333 0.255 0.196 0.150 0.116 0.090 0.069 0.054 0.042 0.033 0.026 0.020 0.016 0.012 0.010
0.008 0.006 0.005 0.004 0.003 0.002 0.002
29
0.321 0.243 0.185 0.141
0.107 0.082 0.063 0.048 0.037 0.029 0.022 0.017
0.014 0.011 0.008 0.006 0.005 0.004 0.003 0.002 0.002 0.002
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
0.012
0.009 0.007 0.005 0.004 0.003 0.003 0.002 0.002 0.001
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 0.003 0.002 0.001 0.001 0.001 0.000 0.000 0.000 0.000 0.000