tabele actualizare2

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  • 8/9/2019 tabele actualizare2

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    ANEXA : TABELE DE COMPUNERE SI DISCONTARE

    a=1%An (1+a)h

    a

    1a)(1 h +

    1+ha)(1

    a

    ha)(1

    1

    +

    h

    h

    a)a(1

    1a)(1

    +

    +

    1a)(1

    a)a(1h

    h

    +

    +

    1 1.010000 1.000000 1.000000 0.990099 0.990099 1.010000

    2 1.020100 2.010000 0.497512 0.980296 1.970395 0.507512

    3 1.030301 3.030100 0.330022 0.970590 2.940985 0.340022

    4 1.040604 4.060401 0.246281 0.960980 3.901966 0.256281

    5 1.051010 5.101005 0.196040 0.951466 4.853431 0.206040

    6 1.061520 6.152015 0.162548 0.942045 5.795476 0.1725487 1.072135 7.213535 0.138628 0.932718 6.728195 0.148628

    8 1.082857 8.285671 0.120690 0.923483 7.651678 0.130690

    9 1.093685 9.368527 0.106740 0.914340 8.566018 0.116740

    10 1.104622 10.462213 0.095582 0.905287 9.471305 0.105582

    11 1.115668 11.566835 0.086454 0.896324 10.367628 0.096454

    12 1.126825 12.682503 0.078849 0.887449 11.255077 0.088849

    13 1.138093 13.809328 0.072415 0.878663 12.133740 0.082415

    14 1.149474 14.947421 0.066901 0.869963 13.003703 0.076901

    15 1.160969 16.096896 0.062124 0.861349 13.865053 0.072124

    16 1.172579 17.257864 0.057945 0.852821 14.717874 0.067945

    17 1.184304 18.430443 0.054258 0.844377 15.562251 0.064258

    18 1.196147 19.614748 0.050982 0.836017 16.398269 0.060982

    19 1.208109 20.810895 0.048052 0.827740 17.226008 0.058052

    20 1.220190 22.019004 0.045415 0.819544 18.045553 0.055415

    21 1.232392 23.239194 0.043031 0.811430 18.856983 0.053031

    22 1.244716 24.471586 0.040864 0.803396 19.660379 0.050864

    23 1.257163 25.716302 0.038886 0.795442 20.455821 0.048886

    24 1.269735 26.973465 0.037073 0.787566 21.243387 0.047073

    25 1.282432 28.243200 0.035407 0.779768 22.023156 0.045407

    26 1.295256 29.525631 0.033869 0.772048 22.795204 0.043869

    27 1.308209 30.820888 0.032446 0.764404 23.559608 0.042446

    28 1.321291 32.129097 0.031124 0.756836 24.316443 0.041124

    29 1.334504 33.450388 0.029895 0.749342 25.065785 0.039895

    30 1.347849 34.784892 0.028748 0.741923 25.807708 0.038748

  • 8/9/2019 tabele actualizare2

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    a=2%An (1+a)h

    a1a)(1 h +

    1+ha)(1

    a ha)(1

    1+

    h

    h

    a)a(11a)(1

    +

    + 1a)(1

    a)a(1h

    h

    +

    +

    1 1.020000 1.000000 1.000000 0.980392 0.980392 1.020000

    2 1.040400 2.020000 0.495050 0.961169 1.941561 0.515050

    3 1.061208 3.060400 0.326755 0.942322 2.883883 0.346755

    4 1.082432 4.121608 0.242624 0.923845 3.807729 0.262624

    5 1.104081 5.204040 0.192158 0.905731 4.713460 0.212158

    6 1.126162 6.308121 0.158526 0.887971 5.601431 0.178526

    7 1.148686 7.434283 0.134512 0.870560 6.471991 0.154512

    8 1.171659 8.582969 0.116510 0.853490 7.325481 0.136510

    9 1.195093 9.754628 0.102515 0.836755 8.162237 0.122515

    10 1.218994 10.949721 0.091327 0.820348 8.982585 0.111327

    11 1.243374 12.168715 0.082178 0.804263 9.786848 0.102178

    12 1.268242 13.412090 0.074560 0.788493 10.575341 0.094560

    13 1.293607 14.680332 0.068118 0.773033 11.348374 0.088118

    14 1.319479 15.973938 0.062602 0.757875 12.106249 0.082602

    15 1.345868 17.293417 0.057825 0.743015 12.849264 0.077825

    16 1.372786 18.639285 0.053650 0.728446 13.577709 0.073650

    17 1.400241 20.012071 0.049970 0.714163 14.291872 0.069970

    18 1.428246 21.412312 0.046702 0.700159 14.992031 0.066702

    19 1.456811 22.840559 0.043782 0.686431 15.678462 0.063782

    20 1.485947 24.297370 0.041157 0.672971 16.351433 0.061157

    21 1.515666 25.783317 0.038785 0.659776 17.011209 0.058785

    22 1.545980 27.298984 0.036631 0.646839 17.658048 0.056631

    23 1.576899 28.844963 0.034668 0.634156 18.292204 0.054668

    24 1.608437 30.421862 0.032871 0.621721 18.913926 0.052871

    25 1.640606 32.030300 0.031220 0.609531 19.523456 0.051220

    26 1.673418 33.670906 0.029699 0.597579 20.121036 0.049699

    27 1.706886 35.344324 0.028293 0.585862 20.706898 0.048293

    28 1.741024 37.051210 0.026990 0.574375 21.281272 0.046990

    29 1.775845 38.792235 0.025778 0.563112 21.844385 0.045778

    30 1.811362 40.568079 0.024650 0.552071 22.396456 0.044650

  • 8/9/2019 tabele actualizare2

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    a=3% An (1+a)h

    a

    1a)(1 h +

    1+

    h

    a)(1

    a h

    a)(1

    1

    +

    h

    h

    a)a(1

    1a)(1

    +

    +

    1a)(1

    a)a(1h

    h

    +

    +

    1 1.030000 1.000000 1.000000 0.970874 0.970874 1.030000

    2 1.060900 2.030000 0.492611 0.942596 1.913470 0.522611

    3 1.092727 3.090900 0.323530 0.915142 2.828611 0.353530

    4 1.125509 4.183627 0.239027 0.888487 3.717098 0.269027

    5 1.159274 5.309136 0.188355 0.862609 4.579707 0.218355

    6 1.194052 6.468410 0.154598 0.837484 5.417191 0.184598

    7 1.229874 7.662462 0.130506 0.813092 6.230283 0.160506

    8 1.266770 8.892336 0.112456 0.789409 7.019692 0.142456

    9 1.304773 10.159106 0.098434 0.766417 7.786109 0.128434

    10 1.343916 11.463879 0.087231 0.744094 8.530203 0.117231

    11 1.384234 12.807796 0.078077 0.722421 9.252624 0.108077

    12 1.425761 14.192030 0.070462 0.701380 9.954004 0.100462

    13 1.468534 15.617790 0.064030 0.680951 10.634955 0.094030

    14 1.512590 17.086324 0.058526 0.661118 11.296073 0.088526

    15 1.557967 18.598914 0.053767 0.641862 11.937935 0.083767

    16 1.604706 20.156881 0.049611 0.623167 12.561102 0.079611

    17 1.652848 21.761588 0.045953 0.605016 13.166118 0.075953

    18 1.702433 23.414435 0.042709 0.587395 13.753513 0.072709

    19 1.753506 25.116868 0.039814 0.570286 14.323799 0.069814

    20 1.806111 26.870374 0.037216 0.553676 14.877475 0.067216

    21 1.860295 28.676486 0.034872 0.537549 15.415024 0.064872

    22 1.916103 30.536780 0.032747 0.521893 15.936917 0.062747

    23 1.973587 32.452884 0.030814 0.506692 16.443608 0.060814

    24 2.032794 34.426470 0.029047 0.491934 16.935542 0.059047

    25 2.093778 36.459264 0.027428 0.477606 17.413148 0.057428

    26 2.156591 38.553042 0.025938 0.463695 17.876842 0.055938

    27 2.221289 40.709634 0.024564 0.450189 18.327031 0.054564

    28 2.287928 42.930923 0.023293 0.437077 18.764108 0.053293

    29 2.356566 45.218850 0.022115 0.424346 19.188455 0.052115

    30 2.427262 47.575416 0.021019 0.411987 19.600441 0.051019

  • 8/9/2019 tabele actualizare2

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    a = 4%An (1+a)h

    a

    1a)(1 h+

    1+

    h

    a)(1

    a h

    a)(1

    1

    +

    h

    h

    a)a(1

    1a)(1

    +

    +

    1a)(1

    a)a(1h

    h

    +

    +

    1 1.040000 1.000000 1.000000 0.961538 0.961538 1.040000

    2 1.081600 2.040000 0.490196 0.924556 1.886095 0.530196

    3 1.124864 3.121600 0.320349 0.888996 2.775091 0.360349

    4 1.169859 4.246464 0.235490 0.854804 3.629895 0.275490

    5 1.216653 5.416323 0.184627 0.821927 4.451822 0.224627

    6 1.265319 6.632975 0.150762 0.790315 5.242137 0.190762

    7 1.315932 7.898294 0.126610 0.759918 6.002055 0.166610

    8 1.368569 9.214226 0.108528 0.730690 6.732745 0.148528

    9 1.423312 10.582795 0.094493 0.702587 7.435332 0.134493

    10 1.480244 12.006107 0.083291 0.675564 8.110896 0.123291

    11 1.539454 13.486351 0.074149 0.649581 8.760477 0.114149

    12 1.601032 15.025805 0.066552 0.624597 9.385074 0.106552

    13 1.665074 16.626838 0.060144 0.600574 9.985648 0.100144

    14 1.731676 18.291911 0.054669 0.577475 10.563123 0.094669

    15 1.800944 20.023588 0.049941 0.555265 11.118387 0.089941

    16 1.872981 21.824531 0.045820 0.533908 11.652296 0.085820

    17 1.947900 23.697512 0.042199 0.513373 12.165669 0.082199

    18 2.025817 25.645413 0.038993 0.493628 12.659297 0.078993

    19 2.106849 27.671229 0.036139 0.474642 13.133939 0.076139

    20 2.191123 29.778079 0.033582 0.456387 13.590326 0.073582

    21 2.278768 31.969202 0.031280 0.438834 14.029160 0.071280

    22 2.369919 34.247970 0.029199 0.421955 14.451115 0.069199

    23 2.464716 36.617889 0.027309 0.405726 14.856842 0.067309

    24 2.563304 39.082604 0.025587 0.390121 15.246963 0.065587

    25 2.665836 41.645908 0.024012 0.375117 15.622080 0.064012

    26 2.772470 44.311745 0.022567 0.360689 15.982769 0.062567

    27 2.883369 47.084214 0.021239 0.346817 16.329586 0.061239

    28 2.998703 49.967583 0.020013 0.333477 16.663063 0.060013

    29 3.118651 52.966286 0.018880 0.320651 16.983715 0.058880

    30 3.243398 56.084938 0.017830 0.308319 17.292033 0.057830

  • 8/9/2019 tabele actualizare2

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    a=5% An (1+a)h

    a

    1a)(1 h +

    1+

    h

    a)(1

    a h

    a)(1

    1

    +

    h

    h

    a)a(1

    1a)(1

    +

    +

    1a)(1

    a)a(1h

    h

    +

    +

    1 1.050000 1.000000 1.000000 0.952381 0.952381 1.050000

    2 1.102500 2.050000 0.487805 0.907029 1.859410 0.537805

    3 1.157625 3.152500 0.317209 0.863838 2.723248 0.367209

    4 1.215506 4.310125 0.232012 0.822702 3.545951 0.282012

    5 1.276282 5.525631 0.180975 0.783526 4.329477 0.230975

    6 1.340096 6.801913 0.147017 0.746215 5.075692 0.197017

    7 1.407100 8.142008 0.122820 0.710681 5.786373 0.172820

    8 1.477455 9.549109 0.104722 0.676839 6.463213 0.154722

    9 1.551328 11.026564 0.090690 0.644609 7.107822 0.140690

    10 1.628895 12.577893 0.079505 0.613913 7.721735 0.129505

    11 1.710339 14.206787 0.070389 0.584679 8.306414 0.120389

    12 1.795856 15.917127 0.062825 0.556837 8.863252 0.112825

    13 1.885649 17.712983 0.056456 0.530321 9.393573 0.106456

    14 1.979932 19.598632 0.051024 0.505068 9.898641 0.101024

    15 2.078928 21.578564 0.046342 0.481017 10.379658 0.096342

    16 2.182875 23.657492 0.042270 0.458112 10.837770 0.092270

    17 2.292018 25.840366 0.038699 0.436297 11.274066 0.088699

    18 2.406619 28.132385 0.035546 0.415521 11.689587 0.085546

    19 2.526950 30.539004 0.032745 0.395734 12.085321 0.082745

    20 2.653298 33.065954 0.030243 0.376889 12.462210 0.080243

    21 2.785963 35.719252 0.027996 0.358942 12.821153 0.077996

    22 2.925261 38.505214 0.025971 0.341850 13.163003 0.075971

    23 3.071524 41.430475 0.024137 0.325571 13.488574 0.074137

    24 3.225100 44.501999 0.022471 0.310068 13.798642 0.072471

    25 3.386355 47.727099 0.020952 0.295303 14.093945 0.070952

    26 3.555673 51.113454 0.019564 0.281241 14.375185 0.069564

    27 3.733456 54.669126 0.018292 0.267848 14.643034 0.068292

    28 3.920129 58.402583 0.017123 0.255094 14.898127 0.067123

    29 4.116136 62.322712 0.016046 0.242946 15.141074 0.066046

    30 4.321942 66.438848 0.015051 0.231377 15.372451 0.065051

  • 8/9/2019 tabele actualizare2

    6/28

    a=6% An (1+a)h

    a

    1a)(1 h +

    1+

    h

    a)(1

    a h

    a)(1

    1

    +

    h

    h

    a)a(1

    1a)(1

    +

    +

    1a)(1

    a)a(1h

    h

    +

    +

    1 1.060000 1.000000 1.000000 0.943396 0.943396 1.060000

    2 1.123600 2.060000 0.485437 0.889996 1.833393 0.545437

    3 1.191016 3.183600 0.314110 0.839619 2.673012 0.374110

    4 1.262477 4.374616 0.228591 0.792094 3.465106 0.288591

    5 1.338226 5.637093 0.177396 0.747258 4.212364 0.237396

    6 1.418519 6.975319 0.143363 0.704961 4.917324 0.203363

    7 1.503630 8.393838 0.119135 0.665057 5.582381 0.179135

    8 1.593848 9.897468 0.101036 0.627412 6.209794 0.161036

    9 1.689479 11.491316 0.087022 0.591898 6.801692 0.147022

    10 1.790848 13.180795 0.075868 0.558395 7.360087 0.135868

    11 1.898299 14.971643 0.066793 0.526788 7.886875 0.126793

    12 2.012196 16.869941 0.059277 0.496969 8.383844 0.119277

    13 2.132928 18.882138 0.052960 0.468839 8.852683 0.112960

    14 2.260904 21.015066 0.047585 0.442301 9.294984 0.107585

    15 2.396558 23.275970 0.042963 0.417265 9.712249 0.102963

    16 2.540352 25.672528 0.038952 0.393646 10.105895 0.09895217 2.692773 28.212880 0.035445 0.371364 10.477260 0.095445

    18 2.854339 30.905653 0.032357 0.350344 10.827603 0.092357

    19 3.025600 33.759992 0.029621 0.330513 11.158116 0.089621

    20 3.207135 36.785591 0.027185 0.311805 11.469921 0.087185

    21 3.399564 39.992727 0.025005 0.294155 11.764077 0.085005

    22 3.603537 43.392290 0.023046 0.277505 12.041582 0.083046

    23 3.819750 46.995828 0.021278 0.261797 12.303379 0.081278

    24 4.048935 50.815577 0.019679 0.246979 12.550358 0.079679

    25 4.291871 54.864512 0.018227 0.232999 12.783356 0.078227

    26 4.549383 59.156383 0.016904 0.219810 13.003166 0.076904

    27 4.822346 63.705766 0.015697 0.207368 13.210534 0.075697

    28 5.111687 68.528112 0.014593 0.195630 13.406164 0.074593

    29 5.418388 73.639798 0.013580 0.184557 13.590721 0.073580

    30 5.743491 79.058186 0.012649 0.174110 13.764831 0.072649

  • 8/9/2019 tabele actualizare2

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  • 8/9/2019 tabele actualizare2

    8/28

    a=8% An (1+a)h

    a

    1a)(1 h +

    1+

    h

    a)(1

    a

    h

    a)(1

    1

    +

    h

    h

    a)a(1

    1a)(1

    +

    +

    1a)(1

    a)a(1h

    h

    +

    +

    1 1.080000 1.000000 1.000000 0.925926 0.925926 1.080000

    2 1.166400 2.080000 0.480769 0.857339 1.783265 0.560769

    3 1.259712 3.246400 0.308034 0.793832 2.577097 0.388034

    4 1.360489 4.506112 0.221921 0.735030 3.312127 0.301921

    5 1.469328 5.866601 0.170456 0.680583 3.992710 0.250456

    6 1.586874 7.335929 0.136315 0.630170 4.622880 0.216315

    7 1.713824 8.922803 0.112072 0.583490 5.206370 0.192072

    8 1.850930 10.636628 0.094015 0.540269 5.746639 0.174015

    9 1.999005 12.487558 0.080080 0.500249 6.246888 0.160080

    10 2.158925 14.486562 0.069029 0.463193 6.710081 0.149029

    11 2.331639 16.645487 0.060076 0.428883 7.138964 0.140076

    12 2.518170 18.977126 0.052695 0.397114 7.536078 0.132695

    13 2.719624 21.495297 0.046522 0.367698 7.903776 0.126522

    14 2.937194 24.214920 0.041297 0.340461 8.244237 0.121297

    15 3.172169 27.152114 0.036830 0.315242 8.559479 0.116830

    16 3.425943 30.324283 0.032977 0.291890 8.851369 0.11297717 3.700018 33.750226 0.029629 0.270269 9.121638 0.109629

    18 3.996019 37.450244 0.026702 0.250249 9.371887 0.106702

    19 4.315701 41.446263 0.024128 0.231712 9.603599 0.104128

    20 4.660957 45.761964 0.021852 0.214548 9.818147 0.101852

    21 5.033834 50.422921 0.019832 0.198656 10.016803 0.099832

    22 5.436540 55.456755 0.018032 0.183941 10.200744 0.098032

    23 5.871464 60.893296 0.016422 0.170315 10.371059 0.096422

    24 6.341181 66.764759 0.014978 0.157699 10.528758 0.094978

    25 6.848475 73.105940 0.013679 0.146018 10.674776 0.093679

    26 7.396353 79.954415 0.012507 0.135202 10.809978 0.092507

    27 7.988061 87.350768 0.011448 0.125187 10.935165 0.091448

    28 8.627106 95.338830 0.010489 0.115914 11.051078 0.090489

    29 9.317275 103.965936 0.009619 0.107328 11.158406 0.089619

    30 10.062657 113.283211 0.008827 0.099377 11.257783 0.088827

  • 8/9/2019 tabele actualizare2

    9/28

    a=9% An (1+a)h

    a

    1a)(1 h +

    1+

    h

    a)(1

    a h

    a)(1

    1

    +

    h

    h

    a)a(1

    1a)(1

    +

    +

    1a)(1

    a)a(1h

    h

    +

    +

    1 1.090000 1.000000 1.000000 0.917431 0.917431 1.090000

    2 1.188100 2.090000 0.478469 0.841680 1.759111 0.568469

    3 1.295029 3.278100 0.305055 0.772183 2.531295 0.395055

    4 1.411582 4.573129 0.218669 0.708425 3.239720 0.308669

    5 1.538624 5.984711 0.167092 0.649931 3.889651 0.257092

    6 1.677100 7.523335 0.132920 0.596267 4.485919 0.222920

    7 1.828039 9.200435 0.108691 0.547034 5.032953 0.198691

    8 1.992563 11.028474 0.090674 0.501866 5.534819 0.180674

    9 2.171893 13.021036 0.076799 0.460428 5.995247 0.166799

    10 2.367364 15.192930 0.065820 0.422411 6.417658 0.155820

    11 2.580426 17.560293 0.056947 0.387533 6.805191 0.146947

    12 2.812665 20.140720 0.049651 0.355535 7.160725 0.139651

    13 3.065805 22.953385 0.043567 0.326179 7.486904 0.133567

    14 3.341727 26.019189 0.038433 0.299246 7.786150 0.128433

    15 3.642482 29.360916 0.034059 0.274538 8.060688 0.124059

    16 3.970306 33.003399 0.030300 0.251870 8.312558 0.120300

    17 4.327633 36.973705 0.027046 0.231073 8.543631 0.117046

    18 4.717120 41.301338 0.024212 0.211994 8.755625 0.114212

    19 5.141661 46.018458 0.021730 0.194490 8.950115 0.111730

    20 5.604411 51.160120 0.019546 0.178431 9.128546 0.109546

    21 6.108808 56.764530 0.017617 0.163698 9.292244 0.107617

    22 6.658600 62.873338 0.015905 0.150182 9.442425 0.105905

    23 7.257874 69.531939 0.014382 0.137781 9.580207 0.104382

    24 7.911083 76.789813 0.013023 0.126405 9.706612 0.103023

    25 8.623081 84.700896 0.011806 0.115968 9.822580 0.101806

    26 9.399158 93.323977 0.010715 0.106393 9.928972 0.100715

    27 10.245082 102.723135 0.009735 0.097608 10.026580 0.099735

    28 11.167140 112.968217 0.008852 0.089548 10.116128 0.098852

    29 12.172182 124.135356 0.008056 0.082155 10.198283 0.098056

    30 13.267678 136.307539 0.007336 0.075371 10.273654 0.097336

  • 8/9/2019 tabele actualizare2

    10/28

    a=10% An (1+a)h

    a

    1a)(1 h +

    1+

    h

    a)(1

    a h

    a)(1

    1

    +

    h

    h

    a)a(1

    1a)(1

    +

    +

    1a)(1

    a)a(1h

    h

    +

    +

    1 1.100000 1.000000 1.000000 0.909091 0.909091 1.100000

    2 1.210000 2.100000 0.476190 0.826446 1.735537 0.576190

    3 1.331000 3.310000 0.302115 0.751315 2.486852 0.402115

    4 1.464100 4.641000 0.215471 0.683013 3.169865 0.315471

    5 1.610510 6.105100 0.163797 0.620921 3.790787 0.263797

    6 1.771561 7.715610 0.129607 0.564474 4.355261 0.229607

    7 1.948717 9.487171 0.105405 0.513158 4.868419 0.205405

    8 2.143589 11.435888 0.087444 0.466507 5.334926 0.187444

    9 2.357948 13.579477 0.073641 0.424098 5.759024 0.173641

    10 2.593742 15.937425 0.062745 0.385543 6.144567 0.162745

    11 2.853117 18.531167 0.053963 0.350494 6.495061 0.153963

    12 3.138428 21.384284 0.046763 0.318631 6.813692 0.146763

    13 3.452271 24.522712 0.040779 0.289664 7.103356 0.140779

    14 3.797498 27.974983 0.035746 0.263331 7.366687 0.135746

    15 4.177248 31.772482 0.031474 0.239392 7.606080 0.131474

    16 4.594973 35.949730 0.027817 0.217629 7.823709 0.12781717 5.054470 40.544703 0.024664 0.197845 8.021553 0.124664

    18 5.559917 45.599173 0.021930 0.179859 8.201412 0.121930

    19 6.115909 51.159090 0.019547 0.163508 8.364920 0.119547

    20 6.727500 57.274999 0.017460 0.148644 8.513564 0.117460

    21 7.400250 64.002499 0.015624 0.135131 8.648694 0.115624

    22 8.140275 71.402749 0.014005 0.122846 8.771540 0.114005

    23 8.954302 79.543024 0.012572 0.111678 8.883218 0.112572

    24 9.849733 88.497327 0.011300 0.101526 8.984744 0.111300

    25 10.834706 98.347059 0.010168 0.092296 9.077040 0.110168

    26 11.918177 109.181765 0.009159 0.083905 9.160945 0.109159

    27 13.109994 121.099942 0.008258 0.076278 9.237223 0.108258

    28 14.420994 134.209936 0.007451 0.069343 9.306567 0.107451

    29 15.863093 148.630930 0.006728 0.063039 9.369606 0.106728

    30 17.449402 164.494023 0.006079 0.057309 9.426914 0.106079

  • 8/9/2019 tabele actualizare2

    11/28

    a=11% An (1+a)h

    a1a)(1 h +

    1+ha)(1

    a ha)(1

    1+

    h

    h

    a)a(11a)(1

    +

    +

    1a)(1a)a(1h

    h

    +

    +

    1 1.110000 1.000000 1.000000 0.900901 0.900901 1.110000

    2 1.232100 2.110000 0.473934 0.811622 1.712523 0.583934

    3 1.367631 3.342100 0.299213 0.731191 2.443715 0.409213

    4 1.518070 4.709731 0.212326 0.658731 3.102446 0.322326

    5 1.685058 6.227801 0.160570 0.593451 3.695897 0.270570

    6 1.870415 7.912860 0.126377 0.534641 4.230538 0.236377

    7 2.076160 9.783274 0.102215 0.481658 4.712196 0.212215

    8 2.304538 11.859434 0.084321 0.433926 5.146123 0.194321

    9 2.558037 14.163972 0.070602 0.390925 5.537048 0.180602

    10 2.839421 16.722009 0.059801 0.352184 5.889232 0.169801

    11 3.151757 19.561430 0.051121 0.317283 6.206515 0.161121

    12 3.498451 22.713187 0.044027 0.285841 6.492356 0.154027

    13 3.883280 26.211638 0.038151 0.257514 6.749870 0.148151

    14 4.310441 30.094918 0.033228 0.231995 6.981865 0.143228

    15 4.784589 34.405359 0.029065 0.209004 7.190870 0.139065

    16 5.310894 39.189948 0.025517 0.188292 7.379162 0.135517

    17 5.895093 44.500843 0.022471 0.169633 7.548794 0.132471

    18 6.543553 50.395936 0.019843 0.152822 7.701617 0.129843

    19 7.263344 56.939488 0.017563 0.137678 7.839294 0.127563

    20 8.062312 64.202832 0.015576 0.124034 7.963328 0.125576

    21 8.949166 72.265144 0.013838 0.111742 8.075070 0.123838

    22 9.933574 81.214309 0.012313 0.100669 8.175739 0.122313

    23 11.026267 91.147884 0.010971 0.090693 8.266432 0.120971

    24 12.239157 102.174151 0.009787 0.081705 8.348137 0.119787

    25 13.585464 114.413307 0.008740 0.073608 8.421745 0.118740

    26 15.079865 127.998771 0.007813 0.066314 8.488058 0.117813

    27 16.738650 143.078636 0.006989 0.059742 8.547800 0.116989

    28 18.579901 159.817286 0.006257 0.053822 8.601622 0.116257

    29 20.623691 178.397187 0.005605 0.048488 8.650110 0.115605

    30 22.892297 199.020878 0.005025 0.043683 8.693793 0.115025

  • 8/9/2019 tabele actualizare2

    12/28

    a = 12%

    An (1+a)h

    a1a)(1 h +

    1+ha)(1

    a ha)(1

    1+

    h

    h

    a)a(11a)(1

    +

    + 1a)(1

    a)a(1h

    h

    +

    +

    1 1.120000 1.000000 1.000000 0.892857 0.892857 1.120000

    2 1.254400 2.120000 0.471698 0.797194 1.690051 0.591698

    3 1.404928 3.374400 0.296349 0.711780 2.401831 0.416349

    4 1.573519 4.779328 0.209234 0.635518 3.037349 0.329234

    5 1.762342 6.352847 0.157410 0.567427 3.604776 0.277410

    6 1.973823 8.115189 0.123226 0.506631 4.111407 0.243226

    7 2.210681 10.089012 0.099118 0.452349 4.563757 0.219118

    8 2.475963 12.299693 0.081303 0.403883 4.967640 0.201303

    9 2.773079 14.775656 0.067679 0.360610 5.328250 0.187679

    10 3.105848 17.548735 0.056984 0.321973 5.650223 0.176984

    11 3.478550 20.654583 0.048415 0.287476 5.937699 0.168415

    12 3.895976 24.133133 0.041437 0.256675 6.194374 0.161437

    13 4.363493 28.029109 0.035677 0.229174 6.423548 0.155677

    14 4.887112 32.392602 0.030871 0.204620 6.628168 0.150871

    15 5.473566 37.279715 0.026824 0.182696 6.810864 0.146824

    16 6.130394 42.753280 0.023390 0.163122 6.973986 0.143390

    17 6.866041 48.883674 0.020457 0.145644 7.119630 0.140457

    18 7.689966 55.749715 0.017937 0.130040 7.249670 0.137937

    19 8.612762 63.439681 0.015763 0.116107 7.365777 0.135763

    20 9.646293 72.052442 0.013879 0.103667 7.469444 0.133879

    21 10.803848 81.698736 0.012240 0.092560 7.562003 0.132240

    22 12.100310 92.502584 0.010811 0.082643 7.644646 0.130811

    23 13.552347 104.602894 0.009560 0.073788 7.718434 0.129560

    24 15.178629 118.155241 0.008463 0.065882 7.784316 0.128463

    25 17.000064 133.333870 0.007500 0.058823 7.843139 0.127500

    26 19.040072 150.333934 0.006652 0.052521 7.895660 0.126652

    27 21.324881 169.374007 0.005904 0.046894 7.942554 0.125904

    28 23.883866 190.698887 0.005244 0.041869 7.984423 0.125244

    29 26.749930 214.582754 0.004660 0.037383 8.021806 0.124660

    30 29.959922 241.332684 0.004144 0.033378 8.055184 0.124144

  • 8/9/2019 tabele actualizare2

    13/28

    a = 13% An (1+a)h

    a1a)(1 h +

    1+ha)(1

    a ha)(1

    1+

    h

    h

    a)a(11a)(1

    +

    + 1a)(1

    a)a(1h

    h

    +

    +

    1 1.130000 1.000000 1.000000 0.884956 0.884956 1.130000

    2 1.276900 2.130000 0.469484 0.783147 1.668102 0.599484

    3 1.442897 3.406900 0.293522 0.693050 2.361153 0.423522

    4 1.630474 4.849797 0.206194 0.613319 2.974471 0.336194

    5 1.842435 6.480271 0.154315 0.542760 3.517231 0.284315

    6 2.081952 8.322706 0.120153 0.480319 3.997550 0.250153

    7 2.352605 10.404658 0.096111 0.425061 4.422610 0.226111

    8 2.658444 12.757263 0.078387 0.376160 4.798770 0.208387

    9 3.004042 15.415707 0.064869 0.332885 5.131655 0.194869

    10 3.394567 18.419749 0.054290 0.294588 5.426243 0.184290

    11 3.835861 21.814317 0.045841 0.260698 5.686941 0.175841

    12 4.334523 25.650178 0.038986 0.230706 5.917647 0.168986

    13 4.898011 29.984701 0.033350 0.204165 6.121812 0.163350

    14 5.534753 34.882712 0.028667 0.180677 6.302488 0.158667

    15 6.254270 40.417464 0.024742 0.159891 6.462379 0.154742

    16 7.067326 46.671735 0.021426 0.141496 6.603875 0.151426

    17 7.986078 53.739060 0.018608 0.125218 6.729093 0.148608

    18 9.024268 61.725138 0.016201 0.110812 6.839905 0.146201

    19 10.197423 70.749406 0.014134 0.098064 6.937969 0.144134

    20 11.523088 80.946829 0.012354 0.086782 7.024752 0.142354

    21 13.021089 92.469917 0.010814 0.076798 7.101550 0.140814

    22 14.713831 105.491006 0.009479 0.067963 7.169513 0.139479

    23 16.626629 120.204837 0.008319 0.060144 7.229658 0.138319

    24 18.788091 136.831465 0.007308 0.053225 7.282883 0.137308

    25 21.230542 155.619556 0.006426 0.047102 7.329985 0.136426

    26 23.990513 176.850098 0.005655 0.041683 7.371668 0.135655

    27 27.109279 200.840611 0.004979 0.036888 7.408556 0.134979

    28 30.633486 227.949890 0.004387 0.032644 7.441200 0.134387

    29 34.615839 258.583376 0.003867 0.028889 7.470088 0.133867

    30 39.115898 293.199215 0.003411 0.025565 7.495653 0.133411

  • 8/9/2019 tabele actualizare2

    14/28

    a = 14% An (1+a)h

    a1a)(1 h +

    1+ha)(1

    a ha)(1

    1+

    h

    h

    a)a(11a)(1

    +

    + 1a)(1

    a)a(1h

    h

    +

    +

    1 1.140000 1.000000 1.000000 0.877193 0.877193 1.140000

    2 1.299600 2.140000 0.467290 0.769468 1.646661 0.607290

    3 1.481544 3.439600 0.290731 0.674972 2.321632 0.430731

    4 1.688960 4.921144 0.203205 0.592080 2.913712 0.343205

    5 1.925415 6.610104 0.151284 0.519369 3.433081 0.291284

    6 2.194973 8.535519 0.117157 0.455587 3.888668 0.257157

    7 2.502269 10.730491 0.093192 0.399637 4.288305 0.233192

    8 2.852586 13.232760 0.075570 0.350559 4.638864 0.215570

    9 3.251949 16.085347 0.062168 0.307508 4.946372 0.202168

    10 3.707221 19.337295 0.051714 0.269744 5.216116 0.191714

    11 4.226232 23.044516 0.043394 0.236617 5.452733 0.183394

    12 4.817905 27.270749 0.036669 0.207559 5.660292 0.176669

    13 5.492411 32.088654 0.031164 0.182069 5.842362 0.171164

    14 6.261349 37.581065 0.026609 0.159710 6.002072 0.166609

    15 7.137938 43.842414 0.022809 0.140096 6.142168 0.162809

    16 8.137249 50.980352 0.019615 0.122892 6.265060 0.159615

    17 9.276464 59.117601 0.016915 0.107800 6.372859 0.156915

    18 10.575169 68.394066 0.014621 0.094561 6.467420 0.154621

    19 12.055693 78.969235 0.012663 0.082948 6.550369 0.152663

    20 13.743490 91.024928 0.010986 0.072762 6.623131 0.150986

    21 15.667578 104.768418 0.009545 0.063826 6.686957 0.149545

    22 17.861039 120.435996 0.008303 0.055988 6.742944 0.148303

    23 20.361585 138.297035 0.007231 0.049112 6.792056 0.147231

    24 23.212207 158.658620 0.006303 0.043081 6.835137 0.146303

    25 26.461916 181.870827 0.005498 0.037790 6.872927 0.145498

    26 30.166584 208.332743 0.004800 0.033149 6.906077 0.144800

    27 34.389906 238.499327 0.004193 0.029078 6.935155 0.144193

    28 39.204493 272.889233 0.003664 0.025507 6.960662 0.143664

    29 44.693122 312.093725 0.003204 0.022375 6.983037 0.143204

    30 50.950159 356.786847 0.002803 0.019627 7.002664 0.142803

  • 8/9/2019 tabele actualizare2

    15/28

    a=15% An (1+a)h

    a1a)(1 h +

    1+ha)(1

    a ha)(1

    1+

    h

    h

    a)a(11a)(1

    +

    +

    1a)(1a)a(1h

    h

    +

    +

    1 1.150000 1.000000 1.000000 0.869565 0.869565 1.150000

    2 1.322500 2.150000 0.465116 0.756144 1.625709 0.615116

    3 1.520875 3.472500 0.287977 0.657516 2.283225 0.437977

    4 1.749006 4.993375 0.200265 0.571753 2.854978 0.350265

    5 2.011357 6.742381 0.148316 0.497177 3.352155 0.298316

    6 2.313061 8.753738 0.114237 0.432328 3.784483 0.264237

    7 2.660020 11.066799 0.090360 0.375937 4.160420 0.240360

    8 3.059023 13.726819 0.072850 0.326902 4.487322 0.222850

    9 3.517876 16.785842 0.059574 0.284262 4.771584 0.209574

    10 4.045558 20.303718 0.049252 0.247185 5.018769 0.199252

    11 4.652391 24.349276 0.041069 0.214943 5.233712 0.191069

    12 5.350250 29.001667 0.034481 0.186907 5.420619 0.184481

    13 6.152788 34.351917 0.029110 0.162528 5.583147 0.179110

    14 7.075706 40.504705 0.024688 0.141329 5.724476 0.174688

    15 8.137062 47.580411 0.021017 0.122894 5.847370 0.171017

    16 9.357621 55.717472 0.017948 0.106865 5.954235 0.167948

    17 10.761264 65.075093 0.015367 0.092926 6.047161 0.165367

    18 12.375454 75.836357 0.013186 0.080805 6.127966 0.163186

    19 14.231772 88.211811 0.011336 0.070265 6.198231 0.161336

    20 16.366537 102.443583 0.009761 0.061100 6.259331 0.159761

    21 18.821518 118.810120 0.008417 0.053131 6.312462 0.158417

    22 21.644746 137.631638 0.007266 0.046201 6.358663 0.157266

    23 24.891458 159.276384 0.006278 0.040174 6.398837 0.156278

    24 28.625176 184.167841 0.005430 0.034934 6.433771 0.155430

    25 32.918953 212.793017 0.004699 0.030378 6.464149 0.154699

    26 37.856796 245.711970 0.004070 0.026415 6.490564 0.154070

    27 43.535315 283.568766 0.003526 0.022970 6.513534 0.153526

    28 50.065612 327.104080 0.003057 0.019974 6.533508 0.153057

    29 57.575454 377.169693 0.002651 0.017369 6.550877 0.152651

    30 66.211772 434.745146 0.002300 0.015103 6.565980 0.152300

  • 8/9/2019 tabele actualizare2

    16/28

    a=20% An (1+a)h

    a

    1a)(1 h +

    1+

    h

    a)(1

    a h

    a)(1

    1

    +

    h

    h

    a)a(1

    1a)(1

    +

    +

    1a)(1

    a)a(1h

    h

    +

    +

    1 1.200000 1.000000 1.000000 0.833333 0.833333 1.200000

    2 1.440000 2.200000 0.454545 0.694444 1.527778 0.654545

    3 1.728000 3.640000 0.274725 0.578704 2.106481 0.474725

    4 2.073600 5.368000 0.186289 0.482253 2.588735 0.386289

    5 2.488320 7.441600 0.134380 0.401878 2.990612 0.334380

    6 2.985984 9.929920 0.100706 0.334898 3.325510 0.300706

    7 3.583181 12.915904 0.077424 0.279082 3.604592 0.277424

    8 4.299817 16.499085 0.060609 0.232568 3.837160 0.260609

    9 5.159780 20.798902 0.048079 0.193807 4.030967 0.248079

    10 6.191736 25.958682 0.038523 0.161506 4.192472 0.238523

    11 7.430084 32.150419 0.031104 0.134588 4.327060 0.231104

    12 8.916100 39.580502 0.025265 0.112157 4.439217 0.225265

    13 10.699321 48.496603 0.020620 0.093464 4.532681 0.220620

    14 12.839185 59.195923 0.016893 0.077887 4.610567 0.216893

    15 15.407022 72.035108 0.013882 0.064905 4.675473 0.213882

    16 18.488426 87.442129 0.011436 0.054088 4.729561 0.211436

    17 22.186111 105.930555 0.009440 0.045073 4.774634 0.209440

    18 26.623333 128.116666 0.007805 0.037561 4.812195 0.207805

    19 31.948000 154.740000 0.006462 0.031301 4.843496 0.206462

    20 38.337600 186.688000 0.005357 0.026084 4.869580 0.205357

    21 46.005120 225.025600 0.004444 0.021737 4.891316 0.204444

    22 55.206144 271.030719 0.003690 0.018114 4.909430 0.203690

    23 66.247373 326.236863 0.003065 0.015095 4.924525 0.203065

    24 79.496847 392.484236 0.002548 0.012579 4.937104 0.202548

    25 95.396217 471.981083 0.002119 0.010483 4.947587 0.202119

    26 114.475460 567.377300 0.001762 0.008735 4.956323 0.201762

    27 137.370552 681.852760 0.001467 0.007280 4.963602 0.201467

    28 164.844662 819.223312 0.001221 0.006066 4.969668 0.201221

    29 197.813595 984.067974 0.001016 0.005055 4.974724 0.201016

    30 237.376314 1181.881569 0.000846 0.004213 4.978936 0.200846

  • 8/9/2019 tabele actualizare2

    17/28

    a=25% An (1+a)h

    a

    1a)(1 h +

    1+

    h

    a)(1

    a

    h

    a)(1

    1

    +

    h

    h

    a)a(1

    1a)(1

    +

    +

    1a)(1

    a)a(1h

    h

    +

    +

    1 1.250000 1.000000 1.000000 0.800000 0.800000 1.250000

    2 1.562500 2.250000 0.444444 0.640000 1.440000 0.694444

    3 1.953125 3.812500 0.262295 0.512000 1.952000 0.512295

    4 2.441406 5.765625 0.173442 0.409600 2.361600 0.423442

    5 3.051758 8.207031 0.121847 0.327680 2.689280 0.371847

    6 3.814697 11.258789 0.088819 0.262144 2.951424 0.338819

    7 4.768372 15.073486 0.066342 0.209715 3.161139 0.316342

    8 5.960464 19.841858 0.050399 0.167772 3.328911 0.300399

    9 7.450581 25.802322 0.038756 0.134218 3.463129 0.288756

    10 9.313226 33.252903 0.030073 0.107374 3.570503 0.280073

    11 11.641532 42.566129 0.023493 0.085899 3.656403 0.273493

    12 14.551915 54.207661 0.018448 0.068719 3.725122 0.268448

    13 18.189894 68.759576 0.014543 0.054976 3.780098 0.264543

    14 22.737368 86.949470 0.011501 0.043980 3.824078 0.261501

    15 28.421709 109.686838 0.009117 0.035184 3.859263 0.259117

    16 35.527137 138.108547 0.007241 0.028147 3.887410 0.25724117 44.408921 173.635684 0.005759 0.022518 3.909928 0.255759

    18 55.511151 218.044605 0.004586 0.018014 3.927942 0.254586

    19 69.388939 273.555756 0.003656 0.014412 3.942354 0.253656

    20 86.736174 342.944695 0.002916 0.011529 3.953883 0.252916

    21 108.420217 429.680869 0.002327 0.009223 3.963107 0.252327

    22 135.525272 538.101086 0.001858 0.007379 3.970485 0.251858

    23 169.406589 673.626358 0.001485 0.005903 3.976388 0.251485

    24 211.758237 843.032947 0.001186 0.004722 3.981111 0.251186

    25 264.697796 1054.791184 0.000948 0.003778 3.984888 0.250948

    26 330.872245 1319.488980 0.000758 0.003022 3.987911 0.250758

    27 413.590306 1650.361225 0.000606 0.002418 3.990329 0.250606

    28 516.987883 2063.951531 0.000485 0.001934 3.992263 0.250485

    29 646.234854 2580.939414 0.000387 0.001547 3.993810 0.250387

    30 807.793567 3227.174268 0.000310 0.001238 3.995048 0.250310

  • 8/9/2019 tabele actualizare2

    18/28

    a=30% An (1+a)h

    a

    1a)(1 h +

    1+

    h

    a)(1

    a

    h

    a)(1

    1

    +

    h

    h

    a)a(1

    1a)(1

    +

    +

    1a)(1

    a)a(1h

    h

    +

    +

    1 1.300000 1.000000 1.000000 0.769231 0.769231 1.300000

    2 1.690000 2.300000 0.434783 0.591716 1.360947 0.734783

    3 2.197000 3.990000 0.250627 0.455166 1.816113 0.550627

    4 2.856100 6.187000 0.161629 0.350128 2.166241 0.461629

    5 3.712930 9.043100 0.110582 0.269329 2.435570 0.410582

    6 4.826809 12.756030 0.078394 0.207176 2.642746 0.378394

    7 6.274852 17.582839 0.056874 0.159366 2.802112 0.356874

    8 8.157307 23.857691 0.041915 0.122589 2.924702 0.341915

    9 10.604499 32.014998 0.031235 0.094300 3.019001 0.331235

    10 13.785849 42.619497 0.023463 0.072538 3.091539 0.323463

    11 17.921604 56.405346 0.017729 0.055799 3.147338 0.317729

    12 23.298085 74.326950 0.013454 0.042922 3.190260 0.313454

    13 30.287511 97.625036 0.010243 0.033017 3.223277 0.310243

    14 39.373764 127.912546 0.007818 0.025398 3.248675 0.307818

    15 51.185893 167.286310 0.005978 0.019537 3.268211 0.305978

    16 66.541661 218.472203 0.004577 0.015028 3.283239 0.304577

    17 86.504159 285.013864 0.003509 0.011560 3.294800 0.303509

    18 112.455407 371.518023 0.002692 0.008892 3.303692 0.302692

    19 146.192029 483.973430 0.002066 0.006840 3.310532 0.302066

    20 190.049638 630.165459 0.001587 0.005262 3.315794 0.301587

    21 247.064529 820.215097 0.001219 0.004048 3.319842 0.301219

    22 321.183888 1067.279626 0.000937 0.003113 3.322955 0.300937

    23 417.539054 1388.463514 0.000720 0.002395 3.325350 0.300720

    24 542.800770 1806.002568 0.000554 0.001842 3.327192 0.300554

    25 705.641001 2348.803338 0.000426 0.001417 3.328609 0.300426

    26 917.333302 3054.444340 0.000327 0.001090 3.329700 0.300327

    27 1192.533293 3971.777642 0.000252 0.000839 3.330538 0.300252

    28 1550.293280 5164.310934 0.000194 0.000645 3.331183 0.300194

    29 2015.381264 6714.604214 0.000149 0.000496 3.331679 0.300149

    30 2619.995644 8729.985479 0.000115 0.000382 3.332061 0.300115

  • 8/9/2019 tabele actualizare2

    19/28

    a=35% An (1+a)h

    a

    1a)(1 h +

    1+

    h

    a)(1

    a h

    a)(1

    1

    +

    h

    h

    a)a(1

    1a)(1

    +

    +

    1a)(1

    a)a(1h

    h

    +

    +

    1 1.350000 1.000000 1.000000 0.740741 0.740741 1.350000

    2 1.822500 2.350000 0.425532 0.548697 1.289438 0.775532

    3 2.460375 4.172500 0.239664 0.406442 1.695880 0.589664

    4 3.321506 6.632875 0.150764 0.301068 1.996948 0.500764

    5 4.484033 9.954381 0.100458 0.223014 2.219961 0.450458

    6 6.053445 14.438415 0.069260 0.165195 2.385157 0.419260

    7 8.172151 20.491860 0.048800 0.122367 2.507523 0.398800

    8 11.032404 28.664011 0.034887 0.090642 2.598165 0.384887

    9 14.893745 39.696415 0.025191 0.067142 2.665308 0.375191

    10 20.106556 54.590160 0.018318 0.049735 2.715043 0.368318

    11 27.143850 74.696715 0.013387 0.036841 2.751884 0.363387

    12 36.644198 101.840566 0.009819 0.027289 2.779173 0.359819

    13 49.469667 138.484764 0.007221 0.020214 2.799387 0.357221

    14 66.784051 187.954431 0.005320 0.014974 2.814361 0.355320

    15 90.158469 254.738482 0.003926 0.011092 2.825453 0.353926

    16 121.713933 344.896951 0.002899 0.008216 2.833669 0.352899

    17 164.313809 466.610884 0.002143 0.006086 2.839755 0.352143

    18 221.823643 630.924694 0.001585 0.004508 2.844263 0.351585

    19 299.461918 852.748336 0.001173 0.003339 2.847602 0.351173

    20 404.273589 1152.210254 0.000868 0.002474 2.850076 0.350868

    21 545.769345 1556.483843 0.000642 0.001832 2.851908 0.350642

    22 736.788616 2102.253188 0.000476 0.001357 2.853265 0.350476

    23 994.664631 2839.041804 0.000352 0.001005 2.854270 0.350352

    24 1342.797252 3833.706435 0.000261 0.000745 2.855015 0.350261

    25 1812.776291 5176.503687 0.000193 0.000552 2.855567 0.350193

    26 2447.247992 6989.279978 0.000143 0.000409 2.855975 0.350143

    27 3303.784789 9436.527970 0.000106 0.000303 2.856278 0.350106

    28 4460.109466 12740.312759 0.000078 0.000224 2.856502 0.350078

    29 6021.147779 17200.422225 0.000058 0.000166 2.856668 0.350058

    30 8128.549501 23221.570004 0.000043 0.000123 2.856791 0.350043

  • 8/9/2019 tabele actualizare2

    20/28

    a=40% An (1+a)h

    a

    1a)(1 h +

    1+

    h

    a)(1

    a h

    a)(1

    1

    +

    h

    h

    a)a(1

    1a)(1

    +

    +

    1a)(1

    a)a(1h

    h

    +

    +

    1 1.400000 1.000000 1.000000 0.714286 0.714286 1.400000

    2 1.960000 2.400000 0.416667 0.510204 1.224490 0.816667

    3 2.744000 4.360000 0.229358 0.364431 1.588921 0.629358

    4 3.841600 7.104000 0.140766 0.260308 1.849229 0.540766

    5 5.378240 10.945600 0.091361 0.185934 2.035164 0.491361

    6 7.529536 16.323840 0.061260 0.132810 2.167974 0.461260

    7 10.541350 23.853376 0.041923 0.094865 2.262839 0.441923

    8 14.757891 34.394726 0.029074 0.067760 2.330599 0.429074

    9 20.661047 49.152617 0.020345 0.048400 2.378999 0.420345

    10 28.925465 69.813664 0.014324 0.034572 2.413571 0.414324

    11 40.495652 98.739129 0.010128 0.024694 2.438265 0.410128

    12 56.693912 139.234781 0.007182 0.017639 2.455904 0.407182

    13 79.371477 195.928693 0.005104 0.012599 2.468503 0.405104

    14 111.120068 275.300171 0.003632 0.008999 2.477502 0.403632

    15 155.568096 386.420239 0.002588 0.006428 2.483930 0.402588

    16 217.795334 541.988334 0.001845 0.004591 2.488521 0.401845

    17 304.913467 759.783668 0.001316 0.003280 2.491801 0.401316

    18 426.878854 1064.697136 0.000939 0.002343 2.494144 0.400939

    19 597.630396 1491.575990 0.000670 0.001673 2.495817 0.400670

    20 836.682554 2089.206386 0.000479 0.001195 2.497012 0.400479

    21 1171.355576 2925.888940 0.000342 0.000854 2.497866 0.400342

    22 1639.897806 4097.244516 0.000244 0.000610 2.498476 0.400244

    23 2295.856929 5737.142322 0.000174 0.000436 2.498911 0.400174

    24 3214.199700 8032.999251 0.000124 0.000311 2.499222 0.400124

    25 4499.879581 11247.198951 0.000089 0.000222 2.499444 0.400089

    26 6299.831413 15747.078532 0.000064 0.000159 2.499603 0.400064

    27 8819.763978 22046.909945 0.000045 0.000113 2.499717 0.400045

    28 12347.669569 30866.673923 0.000032 0.000081 2.499798 0.400032

    29 17286.737397 43214.343492 0.000023 0.000058 2.499855 0.400023

    30 24201.432355 60501.080889 0.000017 0.000041 2.499897 0.400017

  • 8/9/2019 tabele actualizare2

    21/28

    a=45% An (1+a)h

    a

    1a)(1 h +

    1+

    h

    a)(1

    a h

    a)(1

    1

    +

    h

    h

    a)a(1

    1a)(1

    +

    +

    1a)(1

    a)a(1h

    h

    +

    +

    1 1.450000 1.000000 1.000000 0.689655 0.689655 1.450000

    2 2.102500 2.450000 0.408163 0.475624 1.165279 0.858163

    3 3.048625 4.552500 0.219660 0.328017 1.493296 0.669660

    4 4.420506 7.601125 0.131559 0.226218 1.719515 0.581559

    5 6.409734 12.021631 0.083183 0.156013 1.875527 0.533183

    6 9.294114 18.431365 0.054255 0.107595 1.983122 0.504255

    7 13.476466 27.725480 0.036068 0.074203 2.057326 0.486068

    8 19.540876 41.201946 0.024271 0.051175 2.108500 0.474271

    9 28.334269 60.742821 0.016463 0.035293 2.143793 0.466463

    10 41.084691 89.077091 0.011226 0.024340 2.168133 0.461226

    11 59.572802 130.161781 0.007683 0.016786 2.184920 0.457683

    12 86.380562 189.734583 0.005271 0.011577 2.196496 0.455271

    13 125.251815 276.115145 0.003622 0.007984 2.204480 0.453622

    14 181.615132 401.366961 0.002491 0.005506 2.209986 0.452491

    15 263.341942 582.982093 0.001715 0.003797 2.213784 0.451715

    16 381.845816 846.324035 0.001182 0.002619 2.216403 0.451182

    17 553.676433 1228.169850 0.000814 0.001806 2.218209 0.450814

    18 802.830827 1781.846283 0.000561 0.001246 2.219454 0.450561

    19 1164.104699 2584.677110 0.000387 0.000859 2.220313 0.450387

    20 1687.951814 3748.781809 0.000267 0.000592 2.220906 0.450267

    21 2447.530131 5436.733623 0.000184 0.000409 2.221314 0.450184

    22 3548.918689 7884.263754 0.000127 0.000282 2.221596 0.450127

    23 5145.932100 11433.182443 0.000087 0.000194 2.221790 0.450087

    24 7461.601544 16579.114543 0.000060 0.000134 2.221924 0.450060

    25 10819.322239 24040.716087 0.000042 0.000092 2.222017 0.450042

    26 15688.017247 34860.038326 0.000029 0.000064 2.222081 0.450029

    27 22747.625008 50548.055573 0.000020 0.000044 2.222125 0.450020

    28 32984.056262 73295.680581 0.000014 0.000030 2.222155 0.450014

    29 47826.881579 106279.736843 0.000009 0.000021 2.222176 0.450009

    30 69348.978290 154106.618422 0.000006 0.000014 2.222190 0.450006

  • 8/9/2019 tabele actualizare2

    22/28

    a=50% An (1+a)h

    a

    1a)(1 h +

    1+

    h

    a)(1

    a h

    a)(1

    1

    +

    h

    h

    a)a(1

    1a)(1

    +

    +

    1a)(1

    a)a(1h

    h

    +

    +

    1 1.500000 1.000000 1.000000 0.666667 0.666667 1.500000

    2 2.250000 2.500000 0.400000 0.444444 1.111111 0.900000

    3 3.375000 4.750000 0.210526 0.296296 1.407407 0.710526

    4 5.062500 8.125000 0.123077 0.197531 1.604938 0.623077

    5 7.593750 13.187500 0.075829 0.131687 1.736626 0.575829

    6 11.390625 20.781250 0.048120 0.087791 1.824417 0.548120

    7 17.085938 32.171875 0.031083 0.058528 1.882945 0.531083

    8 25.628906 49.257813 0.020301 0.039018 1.921963 0.520301

    9 38.443359 74.886719 0.013354 0.026012 1.947975 0.513354

    10 57.665039 113.330078 0.008824 0.017342 1.965317 0.508824

    11 86.497559 170.995117 0.005848 0.011561 1.976878 0.505848

    12 129.746338 257.492676 0.003884 0.007707 1.984585 0.503884

    13 194.619507 387.239014 0.002582 0.005138 1.989724 0.502582

    14 291.929260 581.858521 0.001719 0.003425 1.993149 0.501719

    15 437.893890 873.787781 0.001144 0.002284 1.995433 0.501144

    16 656.840836 1311.681671 0.000762 0.001522 1.996955 0.500762

    17 985.261253 1968.522507 0.000508 0.001015 1.997970 0.500508

    18 1477.891880 2953.783760 0.000339 0.000677 1.998647 0.500339

    19 2216.837820 4431.675640 0.000226 0.000451 1.999098 0.500226

    20 3325.256730 6648.513460 0.000150 0.000301 1.999399 0.500150

    21 4987.885095 9973.770190 0.000100 0.000200 1.999599 0.500100

    22 7481.827643 14961.655285 0.000067 0.000134 1.999733 0.500067

    23 11222.741464 22443.482928 0.000045 0.000089 1.999822 0.500045

    24 16834.112196 33666.224392 0.000030 0.000059 1.999881 0.500030

    25 25251.168294 50500.336588 0.000020 0.000040 1.999921 0.500020

    26 37876.752441 75751.504882 0.000013 0.000026 1.999947 0.500013

    27 56815.128662 113628.257323 0.000009 0.000018 1.999965 0.500009

    28 85222.692992 170443.385985 0.000006 0.000012 1.999977 0.500006

    29 127834.039489 255666.078977 0.000004 0.000008 1.999984 0.500004

    30 191751.059233 383500.118466 0.000003 0.000005 1.999990 0.500003

  • 8/9/2019 tabele actualizare2

    23/28

    a=55% An (1+a)h

    a

    1a)(1 h +

    1+

    h

    a)(1

    a h

    a)(1

    1

    +

    h

    h

    a)a(1

    1a)(1

    +

    +

    1a)(1

    a)a(1h

    h

    +

    +

    1 1.550000 1.000000 1.000000 0.645161 0.645161 1.550000

    2 2.402500 2.550000 0.392157 0.416233 1.061394 0.942157

    3 3.723875 4.952500 0.201918 0.268537 1.329932 0.751918

    4 5.772006 8.676375 0.115256 0.173250 1.503182 0.665256

    5 8.946610 14.448381 0.069212 0.111774 1.614956 0.619212

    6 13.867245 23.394991 0.042744 0.072112 1.687068 0.592744

    7 21.494230 37.262236 0.026837 0.046524 1.733593 0.576837

    8 33.316056 58.756466 0.017019 0.030016 1.763608 0.567019

    9 51.639887 92.072522 0.010861 0.019365 1.782973 0.560861

    10 80.041825 143.712409 0.006958 0.012493 1.795466 0.556958

    11 124.064829 223.754234 0.004469 0.008060 1.803527 0.554469

    12 192.300484 347.819062 0.002875 0.005200 1.808727 0.552875

    13 298.065751 540.119547 0.001851 0.003355 1.812082 0.551851

    14 462.001914 838.185297 0.001193 0.002164 1.814246 0.551193

    15 716.102966 1300.187211 0.000769 0.001396 1.815643 0.550769

    16 1109.959597 2016.290177 0.000496 0.000901 1.816544 0.550496

    17 1720.437376 3126.249774 0.000320 0.000581 1.817125 0.550320

    18 2666.677933 4846.687150 0.000206 0.000375 1.817500 0.550206

    19 4133.350796 7513.365083 0.000133 0.000242 1.817742 0.550133

    20 6406.693733 11646.715879 0.000086 0.000156 1.817898 0.550086

    21 9930.375287 18053.409612 0.000055 0.000101 1.817999 0.550055

    22 15392.081694 27983.784899 0.000036 0.000065 1.818064 0.550036

    23 23857.726626 43375.866594 0.000023 0.000042 1.818106 0.550023

    24 36979.476271 67233.593220 0.000015 0.000027 1.818133 0.550015

    25 57318.188220 104213.069491 0.000010 0.000017 1.818150 0.550010

    26 88843.191741 161531.257711 0.000006 0.000011 1.818161 0.550006

    27 137706.947199 250374.449452 0.000004 0.000007 1.818169 0.550004

    28 213445.768158 388081.396651 0.000003 0.000005 1.818173 0.550003

    29 330840.940645 601527.164809 0.000002 0.000003 1.818176 0.550002

    30 512803.458000 932368.105454 0.000001 0.000002 1.818178 0.550001

  • 8/9/2019 tabele actualizare2

    24/28

    a=60% An (1+a)h

    a

    1a)(1 h +

    1+

    h

    a)(1

    a h

    a)(1

    1

    +

    h

    h

    a)a(1

    1a)(1

    +

    +

    1a)(1

    a)a(1h

    h

    +

    +

    1 1.600000 1.000000 1.000000 0.625000 0.625000 1.600000

    2 2.560000 2.600000 0.384615 0.390625 1.015625 0.984615

    3 4.096000 5.160000 0.193798 0.244141 1.259766 0.793798

    4 6.553600 9.256000 0.108038 0.152588 1.412354 0.708038

    5 10.485760 15.809600 0.063253 0.095367 1.507721 0.663253

    6 16.777216 26.295360 0.038030 0.059605 1.567326 0.638030

    7 26.843546 43.072576 0.023217 0.037253 1.604578 0.623217

    8 42.949673 69.916122 0.014303 0.023283 1.627862 0.614303

    9 68.719477 112.865795 0.008860 0.014552 1.642413 0.608860

    10 109.951163 181.585271 0.005507 0.009095 1.651508 0.605507

    11 175.921860 291.536434 0.003430 0.005684 1.657193 0.603430

    12 281.474977 467.458295 0.002139 0.003553 1.660745 0.602139

    13 450.359963 748.933271 0.001335 0.002220 1.662966 0.601335

    14 720.575940 1199.293234 0.000834 0.001388 1.664354 0.600834

    15 1152.921505 1919.869174 0.000521 0.000867 1.665221 0.600521

    16 1844.674407 3072.790679 0.000325 0.000542 1.665763 0.600325

    17 2951.479052 4917.465086 0.000203 0.000339 1.666102 0.600203

    18 4722.366483 7868.944138 0.000127 0.000212 1.666314 0.600127

    19 7555.786373 12591.310621 0.000079 0.000132 1.666446 0.600079

    20 12089.258196 20147.096994 0.000050 0.000083 1.666529 0.600050

    21 19342.813114 32236.355190 0.000031 0.000052 1.666581 0.600031

    22 30948.500982 51579.168304 0.000019 0.000032 1.666613 0.600019

    23 49517.601571 82527.669286 0.000012 0.000020 1.666633 0.600012

    24 79228.162514 132045.270857 0.000008 0.000013 1.666646 0.600008

    25 126765.060023 211273.433371 0.000005 0.000008 1.666654 0.600005

    26 202824.096037 338038.493394 0.000003 0.000005 1.666658 0.600003

    27 324518.553658 540862.589431 0.000002 0.000003 1.666662 0.600002

    28 519229.685853 865381.143089 0.000001 0.000002 1.666663 0.600001

    29 830767.497366 1384610.828943 0.000001 0.000001 1.666665 0.600001

    30 1329227.99578 2215378.32630 0.000000 0.000001 1.666665 0.600000

  • 8/9/2019 tabele actualizare2

    25/28

    a=65% An (1+a)h

    a

    1a)(1 h +

    1+

    h

    a)(1

    a h

    a)(1

    1

    +

    h

    h

    a)a(1

    1a)(1

    +

    +

    1a)(1

    a)a(1h

    h

    +

    +

    1 1.650000 1.000000 1.000000 0.606061 0.606061 1.650000

    2 2.722500 2.650000 0.377358 0.367309 0.973370 1.027358

    3 4.492125 5.372500 0.186133 0.222612 1.195982 0.836133

    4 7.412006 9.864625 0.101372 0.134916 1.330898 0.751372

    5 12.229810 17.276631 0.057882 0.081767 1.412666 0.707882

    6 20.179187 29.506442 0.033891 0.049556 1.462222 0.683891

    7 33.295659 49.685629 0.020127 0.030034 1.492255 0.670127

    8 54.937837 82.981287 0.012051 0.018202 1.510458 0.662051

    9 90.647430 137.919124 0.007251 0.011032 1.521490 0.657251

    10 149.568260 228.566554 0.004375 0.006686 1.528176 0.654375

    11 246.787629 378.134815 0.002645 0.004052 1.532228 0.652645

    12 407.199589 624.922444 0.001600 0.002456 1.534683 0.651600

    13 671.879321 1032.122033 0.000969 0.001488 1.536172 0.650969

    14 1108.600880 1704.001354 0.000587 0.000902 1.537074 0.650587

    15 1829.191452 2812.602234 0.000356 0.000547 1.537620 0.650356

    16 3018.165896 4641.793686 0.000215 0.000331 1.537952 0.650215

    17 4979.973728 7659.959582 0.000131 0.000201 1.538153 0.650131

    18 8216.956651 12639.933310 0.000079 0.000122 1.538274 0.650079

    19 13557.978475 20856.889961 0.000048 0.000074 1.538348 0.650048

    20 22370.664483 34414.868436 0.000029 0.000045 1.538393 0.650029

    21 36911.596397 56785.532919 0.000018 0.000027 1.538420 0.650018

    22 60904.134055 93697.129316 0.000011 0.000016 1.538436 0.650011

    23 100491.821191 154601.263371 0.000006 0.000010 1.538446 0.650006

    24 165811.504965 255093.084562 0.000004 0.000006 1.538452 0.650004

    25 273588.983193 420904.589528 0.000002 0.000004 1.538456 0.650002

    26 451421.822268 694493.572721 0.000001 0.000002 1.538458 0.650001

    27 744846.006743 1145915.394989 0.000001 0.000001 1.538459 0.650001

    28 1228995.91112 1890761.401732 0.000001 0.000001 1.538460 0.650001

    29 2027843.25335 3119757.312857 0.000000 0.000000 1.538461 0.650000

    30 1329227.99578 2215378.326308 0.000000 0.000001 1.666665 0.600000

  • 8/9/2019 tabele actualizare2

    26/28

    a=70% An (1+a)h

    a

    1a)(1 h +

    1+

    h

    a)(1

    a h

    a)(1

    1

    +

    h

    h

    a)a(1

    1a)(1

    +

    +

    1a)(1

    a)a(1h

    h

    +

    +

    1 1.700000 1.000000 1.000000 0.588235 0.588235 1.700000

    2 2.890000 2.700000 0.370370 0.346021 0.934256 1.070370

    3 4.913000 5.590000 0.178891 0.203542 1.137798 0.878891

    4 8.352100 10.503000 0.095211 0.119730 1.257528 0.795211

    5 14.198570 18.855100 0.053036 0.070430 1.327958 0.753036

    6 24.137569 33.053670 0.030254 0.041429 1.369387 0.730254

    7 41.033867 57.191239 0.017485 0.024370 1.393757 0.717485

    8 69.757574 98.225106 0.010181 0.014335 1.408092 0.710181

    9 118.587876 167.982681 0.005953 0.008433 1.416525 0.705953

    10 201.599390 286.570557 0.003490 0.004960 1.421485 0.703490

    11 342.718963 488.169947 0.002048 0.002918 1.424403 0.702048

    12 582.622237 830.888910 0.001204 0.001716 1.426119 0.701204

    13 990.457803 1413.511148 0.000707 0.001010 1.427129 0.700707

    14 1683.778266 2403.968951 0.000416 0.000594 1.427723 0.700416

    15 2862.423052 4087.747216 0.000245 0.000349 1.428072 0.700245

    16 4866.119188 6950.170268 0.000144 0.000206 1.428278 0.700144

    17 8272.402619 11816.289456 0.000085 0.000121 1.428399 0.700085

    18 14063.084452 20088.692074 0.000050 0.000071 1.428470 0.700050

    19 23907.243569 34151.776526 0.000029 0.000042 1.428512 0.700029

    20 40642.314066 58059.020095 0.000017 0.000025 1.428536 0.700017

    21 69091.933913 98701.334161 0.000010 0.000014 1.428551 0.700010

    22 117456.287652 167793.268074 0.000006 0.000009 1.428559 0.700006

    23 199675.689009 285249.555727 0.000004 0.000005 1.428564 0.700004

    24 339448.671315 484925.244735 0.000002 0.000003 1.428567 0.700002

    25 577062.741235 824373.916050 0.000001 0.000002 1.428569 0.700001

    26 981006.660099 1401436.657285 0.000001 0.000001 1.428570 0.700001

    27 1667711.32216 2382443.317384 0.000000 0.000001 1.428571 0.700000

    28 2835109.24768 4050154.639553 0.000000 0.000000 1.428571 0.700000

    29 4819685.72106 6885263.887239 0.000000 0.000000 1.428571 0.700000

    30 8193465.72581 11704949.60830 0.000000 0.000000 1.428571 0.700000

  • 8/9/2019 tabele actualizare2

    27/28

    a=75% An (1+a)h

    a

    1a)(1 h +

    1+

    h

    a)(1

    a h

    a)(1

    1

    +

    h

    h

    a)a(1

    1a)(1

    +

    +

    1a)(1

    a)a(1h

    h

    +

    +

    1 1.750000 1.000000 1.000000 0.571429 0.571429 1.750000

    2 3.062500 2.750000 0.363636 0.326531 0.897959 1.113636

    3 5.359375 5.812500 0.172043 0.186589 1.084548 0.922043

    4 9.378906 11.171875 0.089510 0.106622 1.191170 0.839510

    5 16.413086 20.550781 0.048660 0.060927 1.252097 0.798660

    6 28.722900 36.963867 0.027053 0.034815 1.286913 0.777053

    7 50.265076 65.686768 0.015224 0.019895 1.306807 0.765224

    8 87.963882 115.951843 0.008624 0.011368 1.318176 0.758624

    9 153.936794 203.915726 0.004904 0.006496 1.324672 0.754904

    10 269.389390 357.852520 0.002794 0.003712 1.328384 0.752794

    11 471.431432 627.241910 0.001594 0.002121 1.330505 0.751594

    12 825.005007 1098.673342 0.000910 0.001212 1.331717 0.750910

    13 1443.758762 1923.678349 0.000520 0.000693 1.332410 0.750520

    14 2526.577833 3367.437111 0.000297 0.000396 1.332806 0.750297

    15 4421.511209 5894.014945 0.000170 0.000226 1.333032 0.750170

    16 7737.644615 10315.526153 0.000097 0.000129 1.333161 0.750097

    17 13540.878076 18053.170768 0.000055 0.000074 1.333235 0.750055

    18 23696.536634 31594.048845 0.000032 0.000042 1.333277 0.750032

    19 41468.939109 55290.585478 0.000018 0.000024 1.333301 0.750018

    20 72570.643440 96759.524587 0.000010 0.000014 1.333315 0.750010

    21 126998.626020 169330.168027 0.000006 0.000008 1.333323 0.750006

    22 222247.595535 296328.794047 0.000003 0.000004 1.333327 0.750003

    23 388933.292187 518576.389583 0.000002 0.000003 1.333330 0.750002

    24 680633.261327 907509.681770 0.000001 0.000001 1.333331 0.750001

    25 1191108.20732 1588142.943097 0.000001 0.000001 1.333332 0.750001

    26 2084439.36281 2779251.150419 0.000000 0.000000 1.333333 0.750000

    27 3647768.88492 4863690.513234 0.000000 0.000000 1.333333 0.750000

    28 6383595.54861 8511459.398159 0.000000 0.000000 1.333333 0.750000

    29 11171292.2100 14895054.94677 0.000000 0.000000 1.333333 0.750000

    30 19549761.3676 26066347.15686 0.000000 0.000000 1.333333 0.750000

  • 8/9/2019 tabele actualizare2

    28/28

    a=80% An (1+a)h

    a

    1a)(1 h +

    1+

    h

    a)(1

    a h

    a)(1

    1

    +

    h

    h

    a)a(1

    1a)(1

    +

    +

    1a)(1

    a)a(1h

    h

    +

    +

    1 1.800000 1.000000 1.000000 0.555556 0.555556 1.800000

    2 3.240000 2.800000 0.357143 0.308642 0.864198 1.157143

    3 5.832000 6.040000 0.165563 0.171468 1.035665 0.965563

    4 10.497600 11.872000 0.084232 0.095260 1.130925 0.884232

    5 18.895680 22.369600 0.044704 0.052922 1.183847 0.844704

    6 34.012224 41.265280 0.024233 0.029401 1.213249 0.824233

    7 61.222003 75.277504 0.013284 0.016334 1.229583 0.813284

    8 110.199606 136.499507 0.007326 0.009074 1.238657 0.807326

    9 198.359290 246.699113 0.004054 0.005041 1.243698 0.804054

    10 357.046723 445.058403 0.002247 0.002801 1.246499 0.802247

    11 642.684101 802.105126 0.001247 0.001556 1.248055 0.801247

    12 1156.831381 1444.789227 0.000692 0.000864 1.248919 0.800692

    13 2082.296487 2601.620608 0.000384 0.000480 1.249400 0.800384

    14 3748.133676 4683.917095 0.000213 0.000267 1.249667 0.800213

    15 6746.640616 8432.050771 0.000119 0.000148 1.249815 0.800119

    16 12143.953110 15178.691387 0.000066 0.000082 1.249897 0.800066

    17 21859.115597 27322.644497 0.000037 0.000046 1.249943 0.800037

    18 39346.408075 49181.760094 0.000020 0.000025 1.249968 0.800020

    19 70823.534536 88528.168169 0.000011 0.000014 1.249982 0.800011

    20 127482.362164 159351.702705 0.000006 0.000008 1.249990 0.800006

    21 229468.251895 286834.064869 0.000003 0.000004 1.249995 0.800003

    22 413042.853411 516302.316764 0.000002 0.000002 1.249997 0.800002

    23 743477.136140 929345.170175 0.000001 0.000001 1.249998 0.800001

    24 1338258.84505 1672822.306316 0.000001 0.000001 1.249999 0.800001

    25 2408865.92109 3011081.151368 0.000000 0.000000 1.249999 0.800000

    26 4335958.65797 5419947.072462 0.000000 0.000000 1.250000 0.800000

    27 7804725.58434 9755905.730432 0.000000 0.000000 1.250000 0.800000

    28 14048506.0518 17560631.31477 0.000000 0.000000 1.250000 0.800000

    29 25287310.8932 31609137.36660 0.000000 0.000000 1.250000 0.800000

    30 45517159.6079 56896448.25987 0.000000 0.000000 1.250000 0.800000