Labeau Products, Ltd., of Perth, Australia, has $16,000 to invest. The company is trying to decide between two alternative uses for the funds as follows: Invest in Project X Invest in Project Y Investment required $ 16,000 $ 16,000 Annual cash inflows $ 5,000 Single cash inflow at the end of 6 years $ 35,000 Life of the project 6 years 6 years The company’s discount rate is 15%. Click here to view Exhibit 12B-1 and Exhibit 12B-2, to determine the appropriate discount factor(s) using tables. Required: 1. Compute the net present value of Project X. 2. Compute the net present value of Project Y. 3. Which project would you recommend the company accept? REQUIRED 1 Compute the net present value of Project X. (Negative amount should be indicated by a minus sign. Round your final answer to the nearest whole dollar amount.) Net present value REQUIRED 2 Compute the net present value of Project Y. (Negative amount should be indicated by a minus sign. Round your final answer to the nearest whole dollar amount.)
Labeau Products, Ltd., of Perth, Australia, has $16,000 to invest. The company is trying to decide between two alternative uses for the funds as follows: Invest in Project X Invest in Project Y Investment required $ 16,000 $ 16,000 Annual cash inflows $ 5,000 Single cash inflow at the end of 6 years $ 35,000 Life of the project 6 years 6 years The company’s discount rate is 15%. Click here to view Exhibit 12B-1 and Exhibit 12B-2, to determine the appropriate discount factor(s) using tables. Required: 1. Compute the net present value of Project X. 2. Compute the net present value of Project Y. 3. Which project would you recommend the company accept? REQUIRED 1 Compute the net present value of Project X. (Negative amount should be indicated by a minus sign. Round your final answer to the nearest whole dollar amount.) Net present value REQUIRED 2 Compute the net present value of Project Y. (Negative amount should be indicated by a minus sign. Round your final answer to the nearest whole dollar amount.)
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
Related questions
Question
Labeau Products, Ltd., of Perth, Australia, has $16,000 to invest. The company is trying to decide between two alternative uses for the funds as follows:
| Invest in Project X |
Invest in Project Y |
|||
| Investment required | $ | 16,000 | $ | 16,000 |
| Annual cash inflows | $ | 5,000 | ||
| Single |
$ | 35,000 | ||
| Life of the project | 6 years | 6 years | ||
The company’s discount rate is 15%.
Click here to view Exhibit 12B-1 and Exhibit 12B-2, to determine the appropriate discount factor(s) using tables.
Required:
1. Compute the
2. Compute the net present value of Project Y.
3. Which project would you recommend the company accept?
REQUIRED 1
Compute the net present value of Project X. (Negative amount should be indicated by a minus sign. Round your final answer to the nearest whole dollar amount.)
|
|
|
REQUIRED 2
Compute the net present value of Project Y. (Negative amount should be indicated by a minus sign. Round your final answer to the nearest whole dollar amount.)
|
|
|
Transcribed Image Text:EXHIBIT 12B-2 Present Value of an Annuity of $1 in Arrears; 1 - TA
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
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 2.246 2.210 2.174 2.140 2.106 2.074 2.042 2.011
1.981 1.952
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 2.798 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
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 3.685 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 4.799 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
7435
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 4.127
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 4.715 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 7.191
6.811 6.462 6.142 5.847 5.575 5.324 5.092 4.876 4.675 4.489 4.315 4.153
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 7.562 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 7.170
6.743 6.359 6.011
5.696 5.410 5.149 4.909 4.690 4.488 4.302 4130
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 4.703 4.499 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 7984 7.441 6.961 6.534 6.152 5.810 5.502 5.223 4.970 4.739 4.528 4.335 4.157
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
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
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 0.641 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 0.116 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
0.125 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 0.111
0.095 0.081 0.069 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 0116
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
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