t Donvan, the president of Munoz enterprises, is considering two investment opportunities. Because of limited resources, he will be able to invest in only 1 of them. Project A is to purchase a machine that will enable factory automation; the machine is expected to have a useful life of four years and no salvage value. Project B supports a training program that will improve the skills of employees operating the current equipment. Initial cash expenditures for project A are $114, 000 and for project, B is $43,000. The annual expected cash inflows are $44,037 for project A and $13,565 for project B. Both investments are expected to provide cash flow benefits for the next four years. Munoz Enterprises' desired rate is 8 percent. A. Commute the net present value of each project. B. Commute the approximate internal rate of each proje

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
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Dwight Donvan, the president of Munoz enterprises, is considering two investment opportunities. Because of limited resources, he will be able to invest in only 1 of them. Project A is to purchase a machine that will enable factory automation; the machine is expected to have a useful life of four years and no salvage value. Project B supports a training program that will improve the skills of employees operating the current equipment. Initial cash expenditures for project A are $114, 000 and for project, B is $43,000. The annual expected cash inflows are $44,037 for project A and $13,565 for project B. Both investments are expected to provide cash flow benefits for the next four years. Munoz Enterprises' desired rate is 8 percent.

A. Commute the net present value of each project.

B. Commute the approximate internal rate of each project.

TABLE 2 PRESENT VALUE OF AN ANNUITY OF $1
10%
12%
0.892857
14%
0.877193
4%
5%
6%
7%
8%
9%
16%
20%
0.917431
1.759111
1
0.961538
0.952381
0.943396
0.934579
0.925926
0.909091
0.862069
0.833333
1.886095
2.775091
3.629895
4.451822
1.605232
2.245890
2.798181
3.274294
3.684736
4.038565
4.343591
1.859410
1.833393
1.808018
1.783265
1.735537
1.690051
1.646661
1.527778
3
2.723248
2.673012
2.624316
2.577097
2.531295
2.486852
2.401831
2.321632
2.106481
3.465106
3.169865
2.913712
3.433081
3.888668
4
3.545951
3.387211
3.312127
3.239720
3.037349
2.588735
3.790787
4.355261
4.329477
4.212364
4.100197
3.992710
3.889651
3.604776
2.990612
6
5.242137
5.075692
4.917324
4.766540
4.622880
4.485919
4.111407
3.325510
5.032953
5.534819
4.288305
4.638864
7
6.002055
5.786373
5.582381
5.389289
5.206370
4.868419
4.563757
6.463213
7.107822
7.721735
8.306414
8.863252
6.209794
6.801692
7.360087
7.886875
8.383844
8.852683
3.604592
3.837160
4.030967
4.192472
4.327060
8.
6.732745
5.971299
5.746639
5.334926
4.967640
4.946372
5.216116
4.606544
4.833227
5.028644
7.435332
6.515232
6.246888
5.995247
6.417658
5.759024
6.144567
6.495061
5.328250
7.023582
7.498674
10
6.710081
5.650223
8.110896
8.760477
11
7.138964
6.805191
5.937699
5.452733
12
9.385074
7.942686
7.536078
7.160725
6.813692
6.194374
5.660292
5.197107
4.439217
7.903776
8.244237
5.842362
6.002072
6.142168
4.532681
4.610567
13
9.985648
9.393573
8.357651
8.745468
9.107914
9.446649
7.486904
7.103356
6.423548
10.563123
11.118387
5.342334
5.467529
5.575456
14
9.898641
10.379658
10.837770
9.294984
9.712249
7.786150
7.366687
6.628168
15
8.559479
8.060688
7.606080
7.823709
6.810864
4.675473
8.851369
9.121638
6.265060
6.372859
6.467420
6.550369
16
11.652296
10.105895
8.312558
6.973986
5.668497
4.729561
17
12.165669
11.274066
10.477260
9.763223
8.543631
8.021553
7.119630
5.748704
4.774634
12.659297
13.133939
10.827603
11.158116
11.469921
10.059087
10.335595
9.371887
9.603599
9.818147
8.755625
8.905115
9.128546
8.201412
8.364920
8.513564
18
11.689587
7.249670
5.817848
4.812195
7.365777
4.843496
4.869580
19
12.085321
5.877455
20
13.590326
12.462210
10.594014
7.469444
6.623131
5.928841
Transcribed Image Text:TABLE 2 PRESENT VALUE OF AN ANNUITY OF $1 10% 12% 0.892857 14% 0.877193 4% 5% 6% 7% 8% 9% 16% 20% 0.917431 1.759111 1 0.961538 0.952381 0.943396 0.934579 0.925926 0.909091 0.862069 0.833333 1.886095 2.775091 3.629895 4.451822 1.605232 2.245890 2.798181 3.274294 3.684736 4.038565 4.343591 1.859410 1.833393 1.808018 1.783265 1.735537 1.690051 1.646661 1.527778 3 2.723248 2.673012 2.624316 2.577097 2.531295 2.486852 2.401831 2.321632 2.106481 3.465106 3.169865 2.913712 3.433081 3.888668 4 3.545951 3.387211 3.312127 3.239720 3.037349 2.588735 3.790787 4.355261 4.329477 4.212364 4.100197 3.992710 3.889651 3.604776 2.990612 6 5.242137 5.075692 4.917324 4.766540 4.622880 4.485919 4.111407 3.325510 5.032953 5.534819 4.288305 4.638864 7 6.002055 5.786373 5.582381 5.389289 5.206370 4.868419 4.563757 6.463213 7.107822 7.721735 8.306414 8.863252 6.209794 6.801692 7.360087 7.886875 8.383844 8.852683 3.604592 3.837160 4.030967 4.192472 4.327060 8. 6.732745 5.971299 5.746639 5.334926 4.967640 4.946372 5.216116 4.606544 4.833227 5.028644 7.435332 6.515232 6.246888 5.995247 6.417658 5.759024 6.144567 6.495061 5.328250 7.023582 7.498674 10 6.710081 5.650223 8.110896 8.760477 11 7.138964 6.805191 5.937699 5.452733 12 9.385074 7.942686 7.536078 7.160725 6.813692 6.194374 5.660292 5.197107 4.439217 7.903776 8.244237 5.842362 6.002072 6.142168 4.532681 4.610567 13 9.985648 9.393573 8.357651 8.745468 9.107914 9.446649 7.486904 7.103356 6.423548 10.563123 11.118387 5.342334 5.467529 5.575456 14 9.898641 10.379658 10.837770 9.294984 9.712249 7.786150 7.366687 6.628168 15 8.559479 8.060688 7.606080 7.823709 6.810864 4.675473 8.851369 9.121638 6.265060 6.372859 6.467420 6.550369 16 11.652296 10.105895 8.312558 6.973986 5.668497 4.729561 17 12.165669 11.274066 10.477260 9.763223 8.543631 8.021553 7.119630 5.748704 4.774634 12.659297 13.133939 10.827603 11.158116 11.469921 10.059087 10.335595 9.371887 9.603599 9.818147 8.755625 8.905115 9.128546 8.201412 8.364920 8.513564 18 11.689587 7.249670 5.817848 4.812195 7.365777 4.843496 4.869580 19 12.085321 5.877455 20 13.590326 12.462210 10.594014 7.469444 6.623131 5.928841
TABLE 1 PRESENT VALUE OF $1
n
4%
5%
6%
7%
8%
9%
10%
12%
14%
16%
20%
1
0.961538 0.952381
0.943396 0.934579 0.925926 0.917431 0.909091 0.892857 0.877193 0.862069 0.833333
0.924556
3
0.888996 0.863838 0.839619 0.816298 0.793832 0.772183 0.751315 0.711780 0.674972 0.640658 0.578704
0.907029
0.889996 0.873439
0.857339 0.841680 0.826446 0.797194 0.769468 0.743163 0.694444
4
0.854804 0.822702 0.792094 0.762895
0.735030 0.708425 0.683013 0.635518 0.592080
0.552291 0.482253
0.821927 0.783526 0.747258 0.712986 0.680583 0.649931 0.620921 0.567427 0.519369 0.476113 0.401878
6.
0.790315 0.746215 0.704961 0.666342 0.630170 0.596267 0.564474 0.506631 0.455587
0.410442 0.334898
7
0.759918 0.710681 0.665057 0.622750 0.583490 0.547034 0.513158 0.452349 0.399637
0.353830 0.279082
8
0.730690 0.676839 0.627412 0.582009
0.540269
0.501866 0.466507 0.403883 0.350559
0.305025 0.232568
0.702587 0.644609
0.591898 0.543934 0.500249 0.460428 0.424098
0.360610 0.307508 0.262953 0.193807
10 0.675564 0.613913 0.558395 0.508349 0.463193 0.422411
0.385543 0.321973 0.269744 0.226684 0.161506
11
0.649581 0.584679 0.526788 0.475093 0.428883 0.387533 0.350494 0.287476 0.236617
0.195417 0.134588
12
0.624597 0.556837 0.496969 0.444012 0.397114 0.355535 0.318631 0.256675 0.207559
0.168463 0.112157
13 0.600574 0.530321
0.468839 0.414964 0.367698 0.326179 0.289664 0.229174 0.182069 0.145227 0.093464
14 0.577475 0.505068 0.442301 0.387817 0.340461 0.299246 0.263331 0.204620 0.159710 0.125195 0.077887
15 0.555265 0.481017 0.417265 0.362446 0.315242 0.274538 0.239392 0.182696 0.140096
0.107927 0.064905
16 0.533908 0.458112 0.393646 0.338735 0.291890 0.251870 0.217629 0.163122 0.122892
0.093041 0.054088
17 0.513373
0.436297 0.371364 0.316574 0.270269 0.231073 0.197845 0.145644 0.107800
0.080207 0.045073
18 0.493628 0.415521 0.350344 0.295864 0.250249 0.211994 0.179859 0.130040 0.094561
0.069144 0.037561
19 0.474642 0.395734 0.330513 0.276508 0.231712 0.194490 0.163508 0.116107 0.082948 0.059607 0.031301
20 0.456387 0.376889
0.311805 0.258419 0.214548 0.178431
0.148644 0.103667 0.072762 0.051385 0.026084
Transcribed Image Text:TABLE 1 PRESENT VALUE OF $1 n 4% 5% 6% 7% 8% 9% 10% 12% 14% 16% 20% 1 0.961538 0.952381 0.943396 0.934579 0.925926 0.917431 0.909091 0.892857 0.877193 0.862069 0.833333 0.924556 3 0.888996 0.863838 0.839619 0.816298 0.793832 0.772183 0.751315 0.711780 0.674972 0.640658 0.578704 0.907029 0.889996 0.873439 0.857339 0.841680 0.826446 0.797194 0.769468 0.743163 0.694444 4 0.854804 0.822702 0.792094 0.762895 0.735030 0.708425 0.683013 0.635518 0.592080 0.552291 0.482253 0.821927 0.783526 0.747258 0.712986 0.680583 0.649931 0.620921 0.567427 0.519369 0.476113 0.401878 6. 0.790315 0.746215 0.704961 0.666342 0.630170 0.596267 0.564474 0.506631 0.455587 0.410442 0.334898 7 0.759918 0.710681 0.665057 0.622750 0.583490 0.547034 0.513158 0.452349 0.399637 0.353830 0.279082 8 0.730690 0.676839 0.627412 0.582009 0.540269 0.501866 0.466507 0.403883 0.350559 0.305025 0.232568 0.702587 0.644609 0.591898 0.543934 0.500249 0.460428 0.424098 0.360610 0.307508 0.262953 0.193807 10 0.675564 0.613913 0.558395 0.508349 0.463193 0.422411 0.385543 0.321973 0.269744 0.226684 0.161506 11 0.649581 0.584679 0.526788 0.475093 0.428883 0.387533 0.350494 0.287476 0.236617 0.195417 0.134588 12 0.624597 0.556837 0.496969 0.444012 0.397114 0.355535 0.318631 0.256675 0.207559 0.168463 0.112157 13 0.600574 0.530321 0.468839 0.414964 0.367698 0.326179 0.289664 0.229174 0.182069 0.145227 0.093464 14 0.577475 0.505068 0.442301 0.387817 0.340461 0.299246 0.263331 0.204620 0.159710 0.125195 0.077887 15 0.555265 0.481017 0.417265 0.362446 0.315242 0.274538 0.239392 0.182696 0.140096 0.107927 0.064905 16 0.533908 0.458112 0.393646 0.338735 0.291890 0.251870 0.217629 0.163122 0.122892 0.093041 0.054088 17 0.513373 0.436297 0.371364 0.316574 0.270269 0.231073 0.197845 0.145644 0.107800 0.080207 0.045073 18 0.493628 0.415521 0.350344 0.295864 0.250249 0.211994 0.179859 0.130040 0.094561 0.069144 0.037561 19 0.474642 0.395734 0.330513 0.276508 0.231712 0.194490 0.163508 0.116107 0.082948 0.059607 0.031301 20 0.456387 0.376889 0.311805 0.258419 0.214548 0.178431 0.148644 0.103667 0.072762 0.051385 0.026084
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