Heaps Company produces jewelry that requires electroplating with gold, silver, and other valuable metals. Electroplating uses large amounts of water and chemicals, producing wastewater with a number of toxic residuals. Currently, Heaps uses settlement tanks to remove waste; unfortunately, the approach is inefficient, and much of the toxic residue is left in the water that is discharged into a local river. The amount of toxic discharge exceeds the legal, allowable amounts, and the company is faced with substantial, ongoing environmental fines. The environmental violations are also drawing unfavorable public reaction, and sales are being affected. A lawsuit is also impending, which could prove to be quite costly. Management is now considering the installation of a zero-discharge, closed-loop system to treat the wastewater. The proposed closed-loop system would not only purify the wastewater, but also produce cleaner water than that currently being used, increasing plating quality. The closed-loop system would produce only four pounds of sludge, and the sludge would be virtually pure metal, with significant market value. The system requires an investment of $623,700 and will cost $44,180 in increased annual operation plus an annual purchase of $7,070 of filtration medium. However, management projects the following savings: Water usage $ 67,760 Chemical usage   42,070 Sludge disposal   90,320 Recovered metal sales   45,170 Sampling of discharge   120,220      Total $ 365,540 The equipment qualifies as a seven-year MACRS asset. Management has decided to use straight-line depreciation for tax purposes, using the required half-year convention. The tax rate is 40 percent. The projected life of the system is 10 years. The hurdle rate is 16 percent for all capital budgeting projects, although the company’s cost of capital is 12 percent. The present value tables provided in Exhibit 19B.1 and Exhibit 19B.2 must be used to solve the following problems. Required: 1. Based on the financial data provided, prepare a schedule of expected cash flows. Enter cash outflows as negative amounts and cash inflows as positive amounts.   Heaps Company Schedule of Expected Cash Flow Year 0 $fill in the blank  Year 1:   Operating costs $fill in the blank  Savings fill in the blank  Depreciation shield fill in the blank  Total $fill in the blank  Years 2–7:   Operating costs $fill in the blank  Savings fill in the blank  Depreciation shield fill in the blank  Total $fill in the blank  Year 8:   Operating costs $fill in the blank  Savings fill in the blank  Depreciation shield fill in the blank Total fill in the blank  Years 9–10: fill in the blank  Operating costs fill in the blank  Savings fill in the blank  Total $fill in the blank    Feedback   Use the decomposition approach to determine annual after tax cash flows. Be careful to consider whether individual items result in an increase in cash flow or a decrease before adding them together. 2. What is the payback period? Round your answer to two decimal places. fill in the blank years 3. Calculate the NPV of the closed-loop system. Round intermediate calculations and the final answer to the nearest dollar. $fill in the blank  4. The calculation in Requirement 3 ignored several factors that could affect the project’s viability: savings from avoiding the annual fines, positive effect on sales due to favorable environmental publicity, increased plating quality from the new system, and the avoidance of the lawsuit. Suppose, for example, that the annual fines being incurred are $74,710, the sales effect is $59,710 per year, the quality effect is not estimable, and cancellation of the lawsuit because of the new system would avoid an expected settlement at the end of Year 3 (including legal fees) of $308,600. Assuming these are all after-tax amounts, what effect would their inclusion have on the payback period? On the NPV? Round payback to two decimal places and round NPV calculation and final answer to the nearest dollar. Payback Decreases  by fill in the blank  years NPV Increases  by $fill in the blank

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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Related questions
Question
100%

Pollution Prevention, P2 Investment

Heaps Company produces jewelry that requires electroplating with gold, silver, and other valuable metals. Electroplating uses large amounts of water and chemicals, producing wastewater with a number of toxic residuals. Currently, Heaps uses settlement tanks to remove waste; unfortunately, the approach is inefficient, and much of the toxic residue is left in the water that is discharged into a local river. The amount of toxic discharge exceeds the legal, allowable amounts, and the company is faced with substantial, ongoing environmental fines. The environmental violations are also drawing unfavorable public reaction, and sales are being affected. A lawsuit is also impending, which could prove to be quite costly.

Management is now considering the installation of a zero-discharge, closed-loop system to treat the wastewater. The proposed closed-loop system would not only purify the wastewater, but also produce cleaner water than that currently being used, increasing plating quality. The closed-loop system would produce only four pounds of sludge, and the sludge would be virtually pure metal, with significant market value. The system requires an investment of $623,700 and will cost $44,180 in increased annual operation plus an annual purchase of $7,070 of filtration medium. However, management projects the following savings:

Water usage $ 67,760
Chemical usage   42,070
Sludge disposal   90,320
Recovered metal sales   45,170
Sampling of discharge   120,220
     Total $ 365,540

The equipment qualifies as a seven-year MACRS asset. Management has decided to use straight-line depreciation for tax purposes, using the required half-year convention. The tax rate is 40 percent. The projected life of the system is 10 years. The hurdle rate is 16 percent for all capital budgeting projects, although the company’s cost of capital is 12 percent.

The present value tables provided in Exhibit 19B.1 and Exhibit 19B.2 must be used to solve the following problems.

Required:

1. Based on the financial data provided, prepare a schedule of expected cash flows. Enter cash outflows as negative amounts and cash inflows as positive amounts.

 
Heaps Company
Schedule of Expected Cash Flow
Year 0 $fill in the blank 
Year 1:  
Operating costs $fill in the blank 
Savings fill in the blank 
Depreciation shield fill in the blank 
Total $fill in the blank 
Years 2–7:  
Operating costs $fill in the blank 
Savings fill in the blank 
Depreciation shield fill in the blank 
Total $fill in the blank 
Year 8:  
Operating costs $fill in the blank 
Savings fill in the blank 
Depreciation shield fill in the blank
Total fill in the blank 
Years 9–10: fill in the blank 
Operating costs fill in the blank 
Savings fill in the blank 
Total $fill in the blank 
 
Feedback
 

Use the decomposition approach to determine annual after tax cash flows. Be careful to consider whether individual items result in an increase in cash flow or a decrease before adding them together.

2. What is the payback period? Round your answer to two decimal places.
fill in the blank years

3. Calculate the NPV of the closed-loop system. Round intermediate calculations and the final answer to the nearest dollar.
$fill in the blank 

4. The calculation in Requirement 3 ignored several factors that could affect the project’s viability: savings from avoiding the annual fines, positive effect on sales due to favorable environmental publicity, increased plating quality from the new system, and the avoidance of the lawsuit.

Suppose, for example, that the annual fines being incurred are $74,710, the sales effect is $59,710 per year, the quality effect is not estimable, and cancellation of the lawsuit because of the new system would avoid an expected settlement at the end of Year 3 (including legal fees) of $308,600. Assuming these are all after-tax amounts, what effect would their inclusion have on the payback period? On the NPV? Round payback to two decimal places and round NPV calculation and final answer to the nearest dollar.

Payback Decreases  by fill in the blank  years
NPV Increases  by $fill in the blank 
EXHIBIT 19B.2
Present Value of an Annuity of $1 in Arrears*
Periods
2%
4%
6%
8%
10%
12%
14%
16%
18%
20%
22%
24%
26%
28%
30%
32%
40%
1
0.980
0.962
0.943
0.926 0.909
0.893
0.877 0.862
0.847
0.833
0.820
0.806
0.794
0.781
0.769
0.758
0.714
1.392
1.868
2
1.942
1.866
1.833
1.783
1.736
1.690
1.647 1.605
1.566
1.528
1.492
1.457
1.424
1.361
1.331
1.224
2.174
2.690
3.127
2.042
2.494
2.864
1.923
2.320
2.635
1.816
2.166
2.436
1.589
1.849
2.035
2.884
2.775
2.673
2.577 2.487
2.402
2.322 2.246
2.106
1.981
2.404
1.766
3.808
4.713
2.914 2.798
3.433 3.274
2.241
2.532
4
3.630
3.465
3.312
3.170
3.037
2.589
2.096
3.993
4.623
4.452
4.212
3.791
3.605
2.991
2.745
2.345
3.326
3.605
6.
5.601
5.242
4.917
4.355
4.111
3.889 3.685
3.498
3.167
3.020
2.885
2.759
2.643
2.534
2.168
4.288 4.039
4.639 4.344
4.946 4.607
5.216 4.833
7.
6.472
6.002
5.582
5.206
4.868
4.564
3.812
3.416
3.242
3.083
2.937
2.802
2.677
2.263
8.
7.325
6.733
6.210
5.747
5.335
4.968
3.078
3.837
3.619
3.421
3.241
3.076
2.925
2.786
2.331
7.435
8.111
3.184
3.269
9.
8.162
6.802
6.247 5.759
5.328
5.650
4.303
4.031
4.192
4.327
4.439
4.533
3.786
3.923
3.566
3.682
3.776
3.851
3.366
3.465
3.019
2.868
2.930
2.379
2.414
10
8.983
7.360
6.710 6.145
4.494
3.092
9.787
10.575
11.348
8.760
9.385
9.986
7.887
8.384
8.853
4.656
4.793
4.910
5.008
5.092
11
7.139 6.495
5.938
5.453 5.029
4.035
3.543
3.335
3.147
2.978
2.438
6.194
6.424
4.127
4.203
3.606
3.656
3.387
3.427
3.190
3.223
3.013
3.040
12
7.536
6.814
5.660 5.197
2.456
13
7.904 7.103
5.842 5.342
3.912
2.469
14
12.106 10.563
8.244 7.367
9.295
9.712
6.628
6.002 5.468
4.611
4.675
4.265
3.962
3.695
3.459
3.483
3.249
3.061
2.478
15
12.849 11.1 18
8.559 7.606
6.811
6.142 5.575
4.315
4.001
3.726
3.268
3.076
2.484
16
13.578 11.652 10.106
8.851
7.824
6.974
6.265 5.668
5.162
4.730
4.357
4.033
3.751
3.503
3.283
3.088
2.489
17
14.292 12.166 10.477
9.122 8.022
7.120
6.373 5.749
5.222
4.775
4.391
4.059
3.771
3.518
3.295
3.097
2.492
18
14.992 12.659 10.828
6.467 5.818
9.372 8.201
9.604 8.365
7.250
5.273
4.812
4.419
4.080
3.786
3.529
3.304
3.104
2.494
19
15.678 13.134 11.158
7.366
6.550 5.877
5.316
4.843
4.442
4.097
3.799
3.539
3.311
3.109
2.496
3.113
3.116
3.118
16.351 13.590 11.470
9.818 8.514
3.316
3.320
20
7.469
6.623 5.929
5.353
4.870
4.891
4.460
4.476
4.110
4.121
4.130
3.808
3.546
3.551
3.556
2.497
5.384
5.410
21
17.011 14.029 11.764 10.017 8.649
7.562
6.687 5.973
3.816
2.498
22
17.658 14.451 12.042 10.201 8.772
7.645
6.743 6.011
4.909
4.488
3.822
3.323
2.498
23
18.292 14.857 12.303 10.371
8.883
7.718
6.792 6.044
5.432
4.925
4.499
4.137
3.827
3.559
3.325
3.120
2.499
24
18.914 15.247 12.550 10.529 8.985
7.784
6.835 6.073
5.451
4.937
4.507
4.143
3.831
3.562
3.327
3.121
2.499
2.499
2.500
2.500
2.500
4.147
4.151
3.564
3.566
3.122
3.123
25
19.523 15.622 12.783 10.675 9.077
7.843
7.896
7.943
7.984
6.873 6.097
5.467
5.480
4.948
4.956
4.514
4.520
4.524
4.528
4.531
3.834
3.329
3.330
26
20.121 15.983 13.003 10.810 9.161
6.906 6.118
3.837
5.492
5.502
4.964
4.970
4.975
4.979
3.123
3.124
27
20.707 16.330 13.211
10.935 9.237
6.935 6.136
4.154
3.839
3.567
3.331
4.157
4.159
3.568
3.569
28
21.281 16.663 13.406
11.051 9.307
6.961 6.152
3.840
3.331
29
21.844 16.984 13.591 11.158 9.370
8.022
6.983 6.166
5.510
3.841
3.332
3.124 2.50o
30
22.396 17.292 13.765 11.258 9.427
8.055
7.003 6.177
5.517
4.534
4.160
3.842
3.569
3.332
3.124
2.500
*P, = (1/) x [1 - 1/(1 + 0").
Transcribed Image Text:EXHIBIT 19B.2 Present Value of an Annuity of $1 in Arrears* Periods 2% 4% 6% 8% 10% 12% 14% 16% 18% 20% 22% 24% 26% 28% 30% 32% 40% 1 0.980 0.962 0.943 0.926 0.909 0.893 0.877 0.862 0.847 0.833 0.820 0.806 0.794 0.781 0.769 0.758 0.714 1.392 1.868 2 1.942 1.866 1.833 1.783 1.736 1.690 1.647 1.605 1.566 1.528 1.492 1.457 1.424 1.361 1.331 1.224 2.174 2.690 3.127 2.042 2.494 2.864 1.923 2.320 2.635 1.816 2.166 2.436 1.589 1.849 2.035 2.884 2.775 2.673 2.577 2.487 2.402 2.322 2.246 2.106 1.981 2.404 1.766 3.808 4.713 2.914 2.798 3.433 3.274 2.241 2.532 4 3.630 3.465 3.312 3.170 3.037 2.589 2.096 3.993 4.623 4.452 4.212 3.791 3.605 2.991 2.745 2.345 3.326 3.605 6. 5.601 5.242 4.917 4.355 4.111 3.889 3.685 3.498 3.167 3.020 2.885 2.759 2.643 2.534 2.168 4.288 4.039 4.639 4.344 4.946 4.607 5.216 4.833 7. 6.472 6.002 5.582 5.206 4.868 4.564 3.812 3.416 3.242 3.083 2.937 2.802 2.677 2.263 8. 7.325 6.733 6.210 5.747 5.335 4.968 3.078 3.837 3.619 3.421 3.241 3.076 2.925 2.786 2.331 7.435 8.111 3.184 3.269 9. 8.162 6.802 6.247 5.759 5.328 5.650 4.303 4.031 4.192 4.327 4.439 4.533 3.786 3.923 3.566 3.682 3.776 3.851 3.366 3.465 3.019 2.868 2.930 2.379 2.414 10 8.983 7.360 6.710 6.145 4.494 3.092 9.787 10.575 11.348 8.760 9.385 9.986 7.887 8.384 8.853 4.656 4.793 4.910 5.008 5.092 11 7.139 6.495 5.938 5.453 5.029 4.035 3.543 3.335 3.147 2.978 2.438 6.194 6.424 4.127 4.203 3.606 3.656 3.387 3.427 3.190 3.223 3.013 3.040 12 7.536 6.814 5.660 5.197 2.456 13 7.904 7.103 5.842 5.342 3.912 2.469 14 12.106 10.563 8.244 7.367 9.295 9.712 6.628 6.002 5.468 4.611 4.675 4.265 3.962 3.695 3.459 3.483 3.249 3.061 2.478 15 12.849 11.1 18 8.559 7.606 6.811 6.142 5.575 4.315 4.001 3.726 3.268 3.076 2.484 16 13.578 11.652 10.106 8.851 7.824 6.974 6.265 5.668 5.162 4.730 4.357 4.033 3.751 3.503 3.283 3.088 2.489 17 14.292 12.166 10.477 9.122 8.022 7.120 6.373 5.749 5.222 4.775 4.391 4.059 3.771 3.518 3.295 3.097 2.492 18 14.992 12.659 10.828 6.467 5.818 9.372 8.201 9.604 8.365 7.250 5.273 4.812 4.419 4.080 3.786 3.529 3.304 3.104 2.494 19 15.678 13.134 11.158 7.366 6.550 5.877 5.316 4.843 4.442 4.097 3.799 3.539 3.311 3.109 2.496 3.113 3.116 3.118 16.351 13.590 11.470 9.818 8.514 3.316 3.320 20 7.469 6.623 5.929 5.353 4.870 4.891 4.460 4.476 4.110 4.121 4.130 3.808 3.546 3.551 3.556 2.497 5.384 5.410 21 17.011 14.029 11.764 10.017 8.649 7.562 6.687 5.973 3.816 2.498 22 17.658 14.451 12.042 10.201 8.772 7.645 6.743 6.011 4.909 4.488 3.822 3.323 2.498 23 18.292 14.857 12.303 10.371 8.883 7.718 6.792 6.044 5.432 4.925 4.499 4.137 3.827 3.559 3.325 3.120 2.499 24 18.914 15.247 12.550 10.529 8.985 7.784 6.835 6.073 5.451 4.937 4.507 4.143 3.831 3.562 3.327 3.121 2.499 2.499 2.500 2.500 2.500 4.147 4.151 3.564 3.566 3.122 3.123 25 19.523 15.622 12.783 10.675 9.077 7.843 7.896 7.943 7.984 6.873 6.097 5.467 5.480 4.948 4.956 4.514 4.520 4.524 4.528 4.531 3.834 3.329 3.330 26 20.121 15.983 13.003 10.810 9.161 6.906 6.118 3.837 5.492 5.502 4.964 4.970 4.975 4.979 3.123 3.124 27 20.707 16.330 13.211 10.935 9.237 6.935 6.136 4.154 3.839 3.567 3.331 4.157 4.159 3.568 3.569 28 21.281 16.663 13.406 11.051 9.307 6.961 6.152 3.840 3.331 29 21.844 16.984 13.591 11.158 9.370 8.022 6.983 6.166 5.510 3.841 3.332 3.124 2.50o 30 22.396 17.292 13.765 11.258 9.427 8.055 7.003 6.177 5.517 4.534 4.160 3.842 3.569 3.332 3.124 2.500 *P, = (1/) x [1 - 1/(1 + 0").
EXHIBIT 19B.1
Present Value of $1*
Periods
2%
4%
6%
৪%
10%
12%
14%
16%
18%
20%
22%
24%
26%
28%
30%
32%
40%
0.980
0.961
0.962
0.925
0.943
0.890
0.926
0.857
0.862
0.743
0.794
0.630
0.769
0.592
0.758
0.574
0.909
0.826
0.751
0.683
0.877
0.769
0.833
0.694
0.820
0.672
0.781
0.610
1
0.893
0.797
0.847
0.806
0.650
0.714
0.510
0.364
0.7 18
0.641
0.552
0.942
0.889
0.840
0.794
0.712
0,675
0.609
0.579
0.551
0.524
0.500
0.477
0.455
0.435
4
0.924
0.855
0.792
0.735
0.636
0.592
0.516
0.482
0.451
0.423
0.397
0.373
0.350
0.329
0.260
5
0.906
0.822
0.747
0.681
0.621
0.567
0.519
0.476
0.437
0.402
0.370
0.341
0.315
0,291
0.269
0.250
0.186
0.133
0.095
6.
0.888
0.871
0.790
0.760
0.705
0.665
0.636
0.583
0.564
0.513
0.507
0.452
0.456
0.400
0.410
0.354
0.370
0.314
0.335
0.279
0.303
0.275
0.222
0.250
0.198
0.227
0.207
0.189
0.143
7
0.249
0.178
0.159
0.853
0.837
0.820
0.804
0.788
0.627
0.592
0.558
0.527
0.497
0.469
0.233
0.194
0.162
0.139
0.108
0.085
0.066
0.052
0.204
0.108
0.082
0.062
0.046
0.036
8
0.731
0.540
0.467
0.404
0.351
0.305
0.266
0.179
0.157
0.123
0.068
0.424
0.386
0.350
0.319
0.361
0.322
0.263
0.227
0.195
0.168
0.125
0.099
0.079
0.062
0.094
0.073
0.056
0.043
0.048
0.035
0.025
0.018
9
0.703
0.500
0.308
0.225
0.167
0.144
0.676
0.650
0.625
0.270
0.237
10
0.463
0.191
0.137
0.116
0.429
0.397
0.162
0.137
0.116
0.112
0.092
0.094
0.076
11
0.287
0.135
12
0.257
0.208
0.112
13
0.773
0.601
0.368
0.290
0.229
0.182
0.145
0.093
0.075
0.061
0.050
0.040
0.033
0.027
0.013
14
0.758
0.577
0.442
0.340
0.263
0.205
0.160
0.125
0.099
0.078
0.062
0.049
0.039
0.032
0.025
0.021
0.009
15
0.743
0.555
0.417
0.315
0.239
0.183
0.140
0.108
0.084
0.065
0.051
0.040
0.031
0.025
0.020
0.016
0.006
16
0.025
0.728
0.714
0.534
0.513
0.394
0.292
0.270
0.218
0.163
0.146
0.123
0.093
0.080
0.071
0.060
0.054
0.045
0.042
0.032
0.026
0.019
0.015
0.012
0.005
17
0.371
0.198
0.108
0.034
0.020
0.015
0.012
0.009
0.003
0.700
0.686
0.673
0.130
0.116
0.104
0.069
0.060
0.051
0.044
0.051
0.043
0.037
0.028
0.023
0.019
18
0.494
0.350
0.250
0.180
0.095
0.038
0.021
0.016
0.012
0.009
0.007
0.002
0.475
0.456
0.439
0.083
0.073
0.007
0.005
19
0.331
0.232
0.164
0.031
0.017
0.012
0.009
0.005
0.002
0.312
0.294
0.278
20
0.215
0.149
0.026
0.014
0.010
0.007
0.004
0.001
21
0.660
0.199
0.135
0.093
0.064
0.031
0.022
0.015 0.011
0.008
0.006
0.004
0.004
0.003
0.001
22
0.647
0.422
0.184 0.123
0.083
0.056
0.038 0.026 0.018
0.013
0.009
0.006
0.003 0.002 0.001
0.262
0.247
0.233
0.220
0.207
0.049
0.043
0.038
0.033
0.029
0.026
0.002
0.001
0.001
0.001
0.001
0.000
0.000
0.000
0.000
23
0.634
0.406
0.390
0.170
0.112
0.074
0.033 0.022 0.015
0.010
0.007
0.005
0.003
0.002
0.622
0.610
0.598
0.586
0.102
0.092
0.084
0.076
0.069
24
0.158
0.066
0.028 0.019
0.013
0.008
0.006
0.004
0.003
0.002
0.146
0.135
0.125
0.059
0.053
0.047
0.042
0.001
0.001
0.001
0.001
25
0.375
0.024 0.016
0.010 0.007 0.005 0.003
0.002
0.361
0.347
0.021
0.018
0.014
0.011
0.000
0.000
0.000
0.000
26
0.009 0.006
0.004 0.002 0.002
0.005
0.004
0.003
0.003
0.003
0.002
0.002
0.002
0.001
0.001
0.001
27
0.007
28
0.574
0.333
0.196
0.116
0.016
0.010
0.006
0.321
0.308
29
0.563
0.185
0.107
0.063
0.037
0.022
0.014
0.008
0.005
0.002
0.001
0.000
0.000
30
0.552
0.174
0.099
0.057
0.033
0.020
0.012
0.007
0.004
0.002
0.001
0.001
0.000
0.000
0.000
*P, = A/(1 + i)".
Transcribed Image Text:EXHIBIT 19B.1 Present Value of $1* Periods 2% 4% 6% ৪% 10% 12% 14% 16% 18% 20% 22% 24% 26% 28% 30% 32% 40% 0.980 0.961 0.962 0.925 0.943 0.890 0.926 0.857 0.862 0.743 0.794 0.630 0.769 0.592 0.758 0.574 0.909 0.826 0.751 0.683 0.877 0.769 0.833 0.694 0.820 0.672 0.781 0.610 1 0.893 0.797 0.847 0.806 0.650 0.714 0.510 0.364 0.7 18 0.641 0.552 0.942 0.889 0.840 0.794 0.712 0,675 0.609 0.579 0.551 0.524 0.500 0.477 0.455 0.435 4 0.924 0.855 0.792 0.735 0.636 0.592 0.516 0.482 0.451 0.423 0.397 0.373 0.350 0.329 0.260 5 0.906 0.822 0.747 0.681 0.621 0.567 0.519 0.476 0.437 0.402 0.370 0.341 0.315 0,291 0.269 0.250 0.186 0.133 0.095 6. 0.888 0.871 0.790 0.760 0.705 0.665 0.636 0.583 0.564 0.513 0.507 0.452 0.456 0.400 0.410 0.354 0.370 0.314 0.335 0.279 0.303 0.275 0.222 0.250 0.198 0.227 0.207 0.189 0.143 7 0.249 0.178 0.159 0.853 0.837 0.820 0.804 0.788 0.627 0.592 0.558 0.527 0.497 0.469 0.233 0.194 0.162 0.139 0.108 0.085 0.066 0.052 0.204 0.108 0.082 0.062 0.046 0.036 8 0.731 0.540 0.467 0.404 0.351 0.305 0.266 0.179 0.157 0.123 0.068 0.424 0.386 0.350 0.319 0.361 0.322 0.263 0.227 0.195 0.168 0.125 0.099 0.079 0.062 0.094 0.073 0.056 0.043 0.048 0.035 0.025 0.018 9 0.703 0.500 0.308 0.225 0.167 0.144 0.676 0.650 0.625 0.270 0.237 10 0.463 0.191 0.137 0.116 0.429 0.397 0.162 0.137 0.116 0.112 0.092 0.094 0.076 11 0.287 0.135 12 0.257 0.208 0.112 13 0.773 0.601 0.368 0.290 0.229 0.182 0.145 0.093 0.075 0.061 0.050 0.040 0.033 0.027 0.013 14 0.758 0.577 0.442 0.340 0.263 0.205 0.160 0.125 0.099 0.078 0.062 0.049 0.039 0.032 0.025 0.021 0.009 15 0.743 0.555 0.417 0.315 0.239 0.183 0.140 0.108 0.084 0.065 0.051 0.040 0.031 0.025 0.020 0.016 0.006 16 0.025 0.728 0.714 0.534 0.513 0.394 0.292 0.270 0.218 0.163 0.146 0.123 0.093 0.080 0.071 0.060 0.054 0.045 0.042 0.032 0.026 0.019 0.015 0.012 0.005 17 0.371 0.198 0.108 0.034 0.020 0.015 0.012 0.009 0.003 0.700 0.686 0.673 0.130 0.116 0.104 0.069 0.060 0.051 0.044 0.051 0.043 0.037 0.028 0.023 0.019 18 0.494 0.350 0.250 0.180 0.095 0.038 0.021 0.016 0.012 0.009 0.007 0.002 0.475 0.456 0.439 0.083 0.073 0.007 0.005 19 0.331 0.232 0.164 0.031 0.017 0.012 0.009 0.005 0.002 0.312 0.294 0.278 20 0.215 0.149 0.026 0.014 0.010 0.007 0.004 0.001 21 0.660 0.199 0.135 0.093 0.064 0.031 0.022 0.015 0.011 0.008 0.006 0.004 0.004 0.003 0.001 22 0.647 0.422 0.184 0.123 0.083 0.056 0.038 0.026 0.018 0.013 0.009 0.006 0.003 0.002 0.001 0.262 0.247 0.233 0.220 0.207 0.049 0.043 0.038 0.033 0.029 0.026 0.002 0.001 0.001 0.001 0.001 0.000 0.000 0.000 0.000 23 0.634 0.406 0.390 0.170 0.112 0.074 0.033 0.022 0.015 0.010 0.007 0.005 0.003 0.002 0.622 0.610 0.598 0.586 0.102 0.092 0.084 0.076 0.069 24 0.158 0.066 0.028 0.019 0.013 0.008 0.006 0.004 0.003 0.002 0.146 0.135 0.125 0.059 0.053 0.047 0.042 0.001 0.001 0.001 0.001 25 0.375 0.024 0.016 0.010 0.007 0.005 0.003 0.002 0.361 0.347 0.021 0.018 0.014 0.011 0.000 0.000 0.000 0.000 26 0.009 0.006 0.004 0.002 0.002 0.005 0.004 0.003 0.003 0.003 0.002 0.002 0.002 0.001 0.001 0.001 27 0.007 28 0.574 0.333 0.196 0.116 0.016 0.010 0.006 0.321 0.308 29 0.563 0.185 0.107 0.063 0.037 0.022 0.014 0.008 0.005 0.002 0.001 0.000 0.000 30 0.552 0.174 0.099 0.057 0.033 0.020 0.012 0.007 0.004 0.002 0.001 0.001 0.000 0.000 0.000 *P, = A/(1 + i)".
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