12% 0.962 0.952| 0.943 0.935 0.926 0.917 0.909 0.9010.893 0.8850.877 0.8700.862 0.855 0.847 0.840 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 0.889 0.8640.840 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 0.855 0.823| 0.792| 0.763 0.735 0.708 0.683 0.659 0.636 0.613 0.592 0.572 0.5520.534 0.516 | 0.499 0.822 0.784 0.747 0.713| 0.681 0.650 0.621 0.593 0.567 0.5430.519 0.4970.476 0.4560.437 0.419 0.790 0.7460.705 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 0.760 0.711 0.665 0.6230.583 0.547 0.513 0.482 0.452 0.425 0.400 0.376 0.354 0.333 0.314 0.296 0.731 0.677| 0.627 0.582 0.540 0.502 0.467 0.4340.404 0.3760.351 0.3270.305 0.285 0.266 0.249 0.703 0.645| 0.592 0.544 0.500 0.460 0.424 0.3910.361 0.3330.308 0.2840.263 0.243 0.225 0.209 11% 14% 18% 19% 22% 25 0.833 0.8260.820 0.813 0.806 0.8 0.694 0.683 0.672 0.661 0.650 0.6 0.579 0.564 0.551 0.537 0.524 0.5 0.482 0.467| 0.451 | 0.437 0.423 | 0.4 0.402 0.386 0.370 0.355 0.341 0.3. 0.289 0.275 0.2 0.279 0.263 0.249 0.235 0.222 0.2 0.233 0.218 0.204 0.1910.179 0.10 0.155 0.144 0.1 0.676 0.614 0.558 0.508 | 0.463 0.422 0.386 0.352 0.322 0.2950.270 0.247 0.227 0.208 0.191 0.176 | 0.162 0.149 0.137 0.126 0.116 0.10 0.135 0.123 0.112 0.1030.094 0.0 0.625 0.557| 0.497 0.4440.397 0.356 0.319 0.286 0.257 0.2310.208 0.1870.168 0.152 0.137 0.124 0.112 0.102 0.092 0.083 0.076 0.0 0.093 0.084 0.075 0.068 0.061 0.0 0.055 0.049 0.0 0.045 0.040 0.0 0.054 0.047 0.042 0.036 0.032 0.0 0.513 0.436 0.371 0.3170.270 0231 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 0.01 0.038 0.032 0.028 0.0240.021 0.0 0.031 0.027 0.023 0.020 0.017 0.0 0.026 0.022 0.019 0.016 0.014 0.0 0.022 0.018 0.015 0.013 0.011 | 0.0 0.422 0.342 0.278 0.226 | 0.184 0.150 0.123 0.101 0.083 0.0680.056 0.046 0.038 0.032 0.026 0.022 | 0.018 0.015 | 0.013 0.011 | 0.009 0.0 0.406 0.326 0.262 0.211 | 0.170 0.138 0.112 0.091 0.074 0.0600.049 0.040 0.033 0.027 0.022 0.018 0.015 0.012 0.010 0.009 0.007 0.0 0.390 0.310 0.247 0.197 | 0.158 0.126 0.102 0.082 0.066 0.0530.043 0.035 0.028 0.023 0.019 0.015 | 0.013 0.010 0.008 0.007 0.006 0.0 0.006 0.005 0.0 0.361 0.281 | 0.220 0.172 0.135 0.106 0.084 0.066 0.053 0.0420.033 0.0260.021 0.017 0.014 0.011 0.009 0.007 0.006 0.005 0.004 0.0 0.007 0.006 0.005 0.004 0.003 0.0 0.003 0.002 0 0.005 0.004 0.003 0.002 0.002 0.0 0.004 0.003 0.003 0.002 0.002 0.0 0 208 LO 142 L0 097 0 067 0 046 LO 032 L0022 L0015 0011 L0008 L0 005 L0 004 0 003 L0002 L0 001 L0 001 0.001 LO000 L0 000 Lo 000 L0 000 L0 0 Periods 4% 5% 6% 7% 9% 10% 13% 15% 16% 17% 20% 21% 23% 24% 1 2 3 4 6. 0.335 0.319 0.303 0.194 0.180 0.167 10 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 12 0.601 0.530| 0.469 0.4150.368 0.326 0.290 0.258 0.229 0.2040.182 0.1630.145 0.130 0.116 0.104 0.577 0.505 0.442 0.3880.340 0299 0.263 0.232 0.205 0.181 0.160 0.141 0.125 0.111 0.099 0.088 0.555 0.481 | 0.417 0.3620.315 0275 0.239 0.2090.183 0.1600.140 0.1230.108 0.095 0.084 0.074 0.065 0.057 0.051 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 13 14 0.078 0.069 0.062 15 16 17 0.494 0.416 0.350 0.296 | 0.250 0.212 0.180 0.153 0.130 0.1110.095 0.081 0.069 0.059 0.051 0.044 0.475 0.396 0.331 0.277| 0.232 0.194 0.164 0.1380.116 0.0980.083 0.0700.060 0.051 0.043 0.037 0.456 0.377| 0.312 0.2580.215 0.178 0.149 0.1240.104 0.0870.073 0.0610.051 0.043 0.037 0.031 0.439 0.359 0.294 0.242 | 0.199 0.164 0.135 0.112 0.093 0.0770.064 0.053 0.044 0.037 0.031 0.026 18 19 20 21 22 23 24 25 0.375 0.295 0.233 0.1840.146 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 26 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 0.333 0.255 0.196 0.150 0.116 0.090 0.069 0.054 0.042 0.0330.026 0.0200.016 0.012 0.010 0.008 0.321 0.243 0.185 0.1410.107 0.082 0.063 0.048 0.037 0.029 0.022 0.017 0.014 0.011 0.008 0.006 0.308 0.231 | 0.174 0.131 0.099 0.075 0.057 0.044 0.033 0.0260.020 0.0150.012 0.009 0.007 0.005 27 28 0.006 0.0050.004 29 30 40
12% 0.962 0.952| 0.943 0.935 0.926 0.917 0.909 0.9010.893 0.8850.877 0.8700.862 0.855 0.847 0.840 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 0.889 0.8640.840 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 0.855 0.823| 0.792| 0.763 0.735 0.708 0.683 0.659 0.636 0.613 0.592 0.572 0.5520.534 0.516 | 0.499 0.822 0.784 0.747 0.713| 0.681 0.650 0.621 0.593 0.567 0.5430.519 0.4970.476 0.4560.437 0.419 0.790 0.7460.705 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 0.760 0.711 0.665 0.6230.583 0.547 0.513 0.482 0.452 0.425 0.400 0.376 0.354 0.333 0.314 0.296 0.731 0.677| 0.627 0.582 0.540 0.502 0.467 0.4340.404 0.3760.351 0.3270.305 0.285 0.266 0.249 0.703 0.645| 0.592 0.544 0.500 0.460 0.424 0.3910.361 0.3330.308 0.2840.263 0.243 0.225 0.209 11% 14% 18% 19% 22% 25 0.833 0.8260.820 0.813 0.806 0.8 0.694 0.683 0.672 0.661 0.650 0.6 0.579 0.564 0.551 0.537 0.524 0.5 0.482 0.467| 0.451 | 0.437 0.423 | 0.4 0.402 0.386 0.370 0.355 0.341 0.3. 0.289 0.275 0.2 0.279 0.263 0.249 0.235 0.222 0.2 0.233 0.218 0.204 0.1910.179 0.10 0.155 0.144 0.1 0.676 0.614 0.558 0.508 | 0.463 0.422 0.386 0.352 0.322 0.2950.270 0.247 0.227 0.208 0.191 0.176 | 0.162 0.149 0.137 0.126 0.116 0.10 0.135 0.123 0.112 0.1030.094 0.0 0.625 0.557| 0.497 0.4440.397 0.356 0.319 0.286 0.257 0.2310.208 0.1870.168 0.152 0.137 0.124 0.112 0.102 0.092 0.083 0.076 0.0 0.093 0.084 0.075 0.068 0.061 0.0 0.055 0.049 0.0 0.045 0.040 0.0 0.054 0.047 0.042 0.036 0.032 0.0 0.513 0.436 0.371 0.3170.270 0231 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 0.01 0.038 0.032 0.028 0.0240.021 0.0 0.031 0.027 0.023 0.020 0.017 0.0 0.026 0.022 0.019 0.016 0.014 0.0 0.022 0.018 0.015 0.013 0.011 | 0.0 0.422 0.342 0.278 0.226 | 0.184 0.150 0.123 0.101 0.083 0.0680.056 0.046 0.038 0.032 0.026 0.022 | 0.018 0.015 | 0.013 0.011 | 0.009 0.0 0.406 0.326 0.262 0.211 | 0.170 0.138 0.112 0.091 0.074 0.0600.049 0.040 0.033 0.027 0.022 0.018 0.015 0.012 0.010 0.009 0.007 0.0 0.390 0.310 0.247 0.197 | 0.158 0.126 0.102 0.082 0.066 0.0530.043 0.035 0.028 0.023 0.019 0.015 | 0.013 0.010 0.008 0.007 0.006 0.0 0.006 0.005 0.0 0.361 0.281 | 0.220 0.172 0.135 0.106 0.084 0.066 0.053 0.0420.033 0.0260.021 0.017 0.014 0.011 0.009 0.007 0.006 0.005 0.004 0.0 0.007 0.006 0.005 0.004 0.003 0.0 0.003 0.002 0 0.005 0.004 0.003 0.002 0.002 0.0 0.004 0.003 0.003 0.002 0.002 0.0 0 208 LO 142 L0 097 0 067 0 046 LO 032 L0022 L0015 0011 L0008 L0 005 L0 004 0 003 L0002 L0 001 L0 001 0.001 LO000 L0 000 Lo 000 L0 000 L0 0 Periods 4% 5% 6% 7% 9% 10% 13% 15% 16% 17% 20% 21% 23% 24% 1 2 3 4 6. 0.335 0.319 0.303 0.194 0.180 0.167 10 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 12 0.601 0.530| 0.469 0.4150.368 0.326 0.290 0.258 0.229 0.2040.182 0.1630.145 0.130 0.116 0.104 0.577 0.505 0.442 0.3880.340 0299 0.263 0.232 0.205 0.181 0.160 0.141 0.125 0.111 0.099 0.088 0.555 0.481 | 0.417 0.3620.315 0275 0.239 0.2090.183 0.1600.140 0.1230.108 0.095 0.084 0.074 0.065 0.057 0.051 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 13 14 0.078 0.069 0.062 15 16 17 0.494 0.416 0.350 0.296 | 0.250 0.212 0.180 0.153 0.130 0.1110.095 0.081 0.069 0.059 0.051 0.044 0.475 0.396 0.331 0.277| 0.232 0.194 0.164 0.1380.116 0.0980.083 0.0700.060 0.051 0.043 0.037 0.456 0.377| 0.312 0.2580.215 0.178 0.149 0.1240.104 0.0870.073 0.0610.051 0.043 0.037 0.031 0.439 0.359 0.294 0.242 | 0.199 0.164 0.135 0.112 0.093 0.0770.064 0.053 0.044 0.037 0.031 0.026 18 19 20 21 22 23 24 25 0.375 0.295 0.233 0.1840.146 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 26 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 0.333 0.255 0.196 0.150 0.116 0.090 0.069 0.054 0.042 0.0330.026 0.0200.016 0.012 0.010 0.008 0.321 0.243 0.185 0.1410.107 0.082 0.063 0.048 0.037 0.029 0.022 0.017 0.014 0.011 0.008 0.006 0.308 0.231 | 0.174 0.131 0.099 0.075 0.057 0.044 0.033 0.0260.020 0.0150.012 0.009 0.007 0.005 27 28 0.006 0.0050.004 29 30 40
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
Perit Industries has $125,000 to invest. The company is trying to decide between two alternative uses of the funds. The alternatives are:
| Project A | Project B | |||
|---|---|---|---|---|
| Cost of equipment required | $ 125,000 | $ 0 | ||
| Working capital investment required | $ 0 | $ 125,000 | ||
| Annual |
$ 23,000 | $ 71,000 | ||
| Salvage value of equipment in six years | $ 8,900 | $ 0 | ||
| Life of the project | 6 | years | 6 | years |
The working capital needed for project B will be released at the end of six years for investment elsewhere. Perit Industries’ 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 B. (Enter negative values with a minus sign. Round your final answer to the nearest whole dollar amount.)
3. Which investment alternative (if either) would you recommend that the company accept?
Transcribed Image Text:EXHIBIT 12B-2
Present Value of an Annuity of $1 in Arrears; 1/r(1-(1/(1+r)^n))
Periods
4%
5%
6%
7%
8%
9%
10%
11%
12%
13%
14%
15%
16%
17%
18%
19%
20%
21%
22%
23% 24%
25%
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
1.886 1.859
2.775 | 2.723
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
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
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
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
8.111
8.760 8.306 | 7.887
9.385 8.863 | 8.384
9.986 9.394 8.853 8.358 | 7.904| 7.487
10.563 9.899 9.295
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
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
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
12.659 11.690 10.828 10.059 9.372 | 8.756 8.201 7.702 7.250 | 6.840 6.467
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
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
14.029 12.821 11.764 10.836 10.017 9.292 8.649 8.075 7.562| 7.102 6.687
14.451 13.163 12.042 11.061 10.201 9.442 8.772 8.176
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
15.247 13.799 12.550 11.469 10.529 9.707
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
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
16.330 14.643 13.211 | 11.987 10.935 10.027 9.237 | 8.548
16.663 14.898 13.406 12.137 11.051 10.116 9.307 8.602
|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
17.25
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
1
1.833
2.673
1.808 1.783 1.759| 1.736 | 1.713 | 1.690 1.668
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
1.626| 1.605 1.585 | 1.566 1.547 | 1.528 1.509 | 1.492 | 1.474 1.457 1.440
1.647
3
4
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
9
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
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
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
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
4.432 4.265 4.108 | 3.962 3.824
10
11
12
7.943
13
14
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
15
16
17
18
6.128 5.818 5.534 5.273 5.033 4.812 4.608 4.419 4.243 4.080 3.928
19
20
6.312 5.973 5.665| 5.384 5.127 4.891 | 4.675 4.476 4.292 4.121 | 3.963
7.645 7.170 6.743 | 6.359 | 6.011 5.696| 5.410 5.149 4.909 | 4.690 | 4.488 4.302 | 4.130 3.970
21
22
23
24
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
26
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
7.984 | 7.441
27
28
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
30
13.765 12.409 11.258 10.274 9.427 8.694 | 8.055 7.496
7.003 6.566 6.177 5.829
79 4.746
4.534 4.339 4.160 | 3.995
40
Transcribed Image Text:EXHIBIT 12B-1
Present Value of $1; 1 (1+r) n
Periods
4%
5%
6%
7%
8%
9%
10%
11%
12%
13%
14%
15%
16%
17%
18%
19%
20%
21%
22%
23%
24%
25%
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
0.889 | 0.864 | 0.840 | 0.816 | 0.794
0.855 0.823 0.792 0.763 0.735 0.708 0.683 0.659 | 0.636 0.613
0.822 0.784 0.747 0.713 0.681 | 0.650 0.621
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
0.760 0.711 0.665 | 0.623 0.583 0.547 0.513 0.482 | 0.452 0.425
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
0.703 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
0.676 |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
0.650 | 0.585 | 0.527 | 0.475 | 0.429 | 0.388 0.350 | 0.317 | 0.287 | 0.261
0.625
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
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
0.555 0.481 0.417
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
0.513 0.436 0.371 0.317 0.270 0231 0.198 0.170 0.146 0.125 0.108 0.093 0.080
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
0.475 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
0.456 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
0.439 0.359 0.294 |0.242 0.199 0.164 0.135 | 0.112 | 0.093 0.077 0.064 0.053 | 0.044
0.422 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
0.406 0.326 0.262 | 0211| 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
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
0.375 0.295 0.233 0.184 0.146 | 0.116 0.092 0.074
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
0.347 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
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
0.321
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
0.208 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
1
0.772 0.751 0.731
0.537 0.524 0.512
0.482 0.467 0.451 | 0.437 0.423 0.410
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
0.675 0.658 0.641 | 0.624 0.609 0.593
0.592 0.572 0.552 0.534 0.516| 0.499
3
0.712 | 0.693
0.579 0.564 0.551
4
5
6.
0.296 0.279 0.263
0.233 0.218
0.400 | 0.376 | 0.354 | 0.333 | 0.314
0.249 0.235 0.222 | 0.210
0.191
7
0.204
0.179 0.168
0.180 0.167
0.155 0.144 0.134
10
0.103 0.094 0.086
0.557 0.497 0.444 0.3970.356 | 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
11
0.237 0.215 | 0.195 | 0.178 0.162 | 0.148 0.135 0.123 0.112
12
13
14
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
15
16
17
18
0.060 0.052 0.045 0.039 0.034 |0.030 0.026 0.023
0.038 0.032 0.028 | 0.024 0.021 0.018
0.027 0.023 0.020 | 0.017 0.014
0.026 0.022 0.019 |0.016 0.014 0.012
0.026 0.022 0.018 0.015 0.013 | 0.011 0.009
0.011 0.009 0.007
0.069
0.059 0.051 0.044
19
0.043 0.037 0.031
20
21
0.037 0.031
22
23
24
0.006 0.005 0.004
0.004 0.003
25
0.059
0.047
0.038 | 0.030
0.024 | 0.020 | 0.016 | 0.013 | 0.010 | 0.009 | 0.007
26
0.006 | 0.005
27
0.006 0.005 0.004 0.003 0.002 0.002
0.002 0.002 0.002
0.002 0.002 0.001
28
0.004
0.003
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
29
0.003
30
0.003
40
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