Research Article
New Safe Approximation of Ambiguous Probabilistic Constraints for Financial Optimization Problem
Table 3
The optimal portfolio strategies under ball and budget perturbation set (%).
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| 0.91 | 6.940 | 5.3 | 2.984554 | 13.012910 | 6.135631 | 3.185021 | 12.655810 | 13.610000 | 17.450490 | 18.766460 | 9.504393 | 2.694748 | | | 6.2 | 2.984527 | 13.012800 | 6.135777 | 3.184999 | 12.655910 | 13.609980 | 17.450390 | 18.766480 | 9.504414 | 2.694729 | | | 6.8 | 2.975392 | 12.991980 | 6.127129 | 3.176417 | 12.680580 | 13.618360 | 17.461880 | 18.778560 | 9.501712 | 2.687999 | 0.92 | 7.107 | 5.1 | 2.984560 | 13.012930 | 6.135599 | 3.185026 | 12.655790 | 13.610000 | 17.450520 | 18.766450 | 9.504388 | 2.694753 | | | 6.2 | 2.984526 | 13.012800 | 6.135777 | 3.184999 | 12.655910 | 13.609980 | 17.450390 | 18.766480 | 9.504414 | 2.694729 | | | 7.0 | 2.975386 | 12.991980 | 6.127086 | 3.176410 | 12.680590 | 13.618370 | 17.461920 | 18.778570 | 9.501704 | 2.687995 | 0.93 | 7.293 | 5.2 | 2.984557 | 13.012920 | 6.135615 | 3.185023 | 12.655800 | 13.610000 | 17.450500 | 18.766450 | 9.504390 | 2.694750 | | | 6.4 | 2.984520 | 13.012780 | 6.135810 | 3.184994 | 12.655930 | 13.609980 | 17.450370 | 18.766490 | 9.504419 | 2.694724 | | | 7.2 | 2.975385 | 12.991980 | 6.127073 | 3.176408 | 12.680590 | 13.618380 | 17.461930 | 18.778580 | 9.501702 | 2.687993 | 0.94 | 7.501 | 5.4 | 2.984551 | 13.012890 | 6.135648 | 3.185018 | 12.655820 | 13.610000 | 17.450480 | 18.766460 | 9.504395 | 2.694746 | | | 7.0 | 2.984502 | 13.012700 | 6.135907 | 3.184979 | 12.656000 | 13.609970 | 17.450300 | 18.766500 | 9.504434 | 2.694711 | | | 7.4 | 2.975387 | 12.991980 | 6.127092 | 3.176411 | 12.680580 | 13.618370 | 17.461910 | 18.778570 | 9.501705 | 2.687995 | 0.95 | 7.740 | 6.1 | 2.995548 | 13.063250 | 6.263475 | 3.197506 | 12.593050 | 13.586360 | 17.342490 | 18.742500 | 9.512746 | 2.703092 | | | 6.8 | 2.984508 | 13.012730 | 6.135875 | 3.184984 | 12.655980 | 13.609970 | 17.450320 | 18.766500 | 9.504429 | 2.694716 | | | 7.6 | 2.975396 | 12.991980 | 6.127152 | 3.176420 | 12.680580 | 13.618350 | 17.461860 | 18.778560 | 9.501717 | 2.688002 | 0.96 | 8.024 | 6.3 | 2.984523 | 13.012790 | 6.135794 | 3.184996 | 12.655920 | 13.609980 | 17.450380 | 18.766480 | 9.504417 | 2.694727 | | | 7.5 | 2.984487 | 13.012640 | 6.135989 | 3.184966 | 12.656060 | 13.609960 | 17.450240 | 18.766520 | 9.504446 | 2.694700 | | | 7.9 | 2.975394 | 12.991980 | 6.127137 | 3.176418 | 12.680580 | 13.618360 | 17.461870 | 18.778560 | 9.501714 | 2.688000 | 0.97 | 8.374 | 6.7 | 3.107925 | 13.246470 | 6.249412 | 3.300299 | 12.367660 | 13.505560 | 17.298960 | 18.604680 | 9.533868 | 2.785177 | | | 7.4 | 2.984490 | 13.012650 | 6.135973 | 3.184969 | 12.656050 | 13.609960 | 17.450260 | 18.766510 | 9.504444 | 2.694703 | | | 8.2 | 2.984465 | 13.012560 | 6.136104 | 3.184949 | 12.656140 | 13.609950 | 17.450170 | 18.766540 | 9.504463 | 2.694685 | 0.98 | 8.845 | 7.4 | 2.984490 | 13.012650 | 6.135974 | 3.184969 | 12.656050 | 13.609960 | 17.450260 | 18.766510 | 9.504444 | 2.694702 | | | 8.3 | 3.075341 | 13.108540 | 6.426811 | 3.273873 | 12.499240 | 13.483630 | 17.175920 | 18.633460 | 9.561397 | 2.761813 | | | 8.7 | 2.984450 | 13.012500 | 6.136186 | 3.184936 | 12.656200 | 13.609940 | 17.450110 | 18.766550 | 9.504475 | 2.694674 | 0.99 | 9.597 | 7.4 | 2.984489 | 13.012650 | 6.135975 | 3.184969 | 12.656050 | 13.609960 | 17.450250 | 18.766510 | 9.504444 | 2.694702 | | | 8.0 | 2.984471 | 13.012580 | 6.136072 | 3.184954 | 12.656120 | 13.609950 | 17.450190 | 18.766530 | 9.504458 | 2.694689 | | | 9.4 | 2.967558 | 12.953210 | 6.191147 | 3.170496 | 12.715800 | 13.608250 | 17.415440 | 18.783990 | 9.511675 | 2.682452 |
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