d1 formula implementation, from Black-Scholes-Merton model.
Arguments
- spot
current stock price.
- strike
the strike price.
- time
time to option expiration in years.
- rate
the risk-free interest rate.
- yield
the dividends that are expected to be paid.
- sigma
volatility of the stock price.
Recycle rule
These arguments handle the recycle rule so vectors can be provided and once those vectors differs in length the recycle rule is applied.
Examples
bsmd1(c(50, 49, 48, 47), 45, 0.25, 0.13, 0.01, 0.2)
#> [1] 1.4036052 1.2015781 0.9953852 0.7848511
bsmd1(50, 45, 0.25, 0.13, 0.01, 1:1000 / 1000)
#> [1] 270.7212813 135.3610157 90.2410938 67.6812578 54.1454563 45.1216719
#> [7] 38.6761830 33.8421289 30.0823646 27.0746031 24.6137528 22.5630859
#> [13] 20.8279447 19.3407165 18.0518188 16.9240645 15.9290165 15.0445573
#> [19] 14.2532253 13.5410516 12.8967277 12.3110014 11.7762296 11.2860430
#> [25] 10.8350913 10.4188474 10.0334549 9.6756083 9.3424580 9.0315344
#> [31] 8.7406865 8.4680322 8.2119176 7.9708833 7.7436366 7.5290286
#> [37] 7.3260346 7.1337377 6.9513149 6.7780258 6.6132020 6.4562388
#> [43] 6.3065879 6.1637507 6.0272729 5.8967398 5.7717719 5.6520215
#> [49] 5.5371690 5.4269206 5.3210055 5.2191737 5.1211940 5.0268524
#> [55] 4.9359506 4.8483041 4.7637418 4.6821040 4.6032421 4.5270172
#> [61] 4.4532997 4.3819682 4.3129092 4.2460161 4.1811889 4.1183338
#> [67] 4.0573624 3.9981916 3.9407432 3.8849433 3.8307223 3.7780143
#> [73] 3.7267573 3.6768923 3.6283638 3.5811188 3.5351075 3.4902825
#> [79] 3.4465985 3.4040129 3.3624850 3.3219760 3.2824492 3.2438694
#> [85] 3.2062033 3.1694190 3.1334860 3.0983754 3.0640593 3.0305115
#> [91] 2.9977064 2.9656199 2.9342288 2.9035110 2.8734451 2.8440107
#> [97] 2.8151885 2.7869595 2.7593059 2.7322103 2.7056563 2.6796278
#> [103] 2.6541095 2.6290868 2.6045455 2.5804720 2.5568531 2.5336762
#> [109] 2.5109292 2.4886003 2.4666782 2.4451521 2.4240113 2.4032459
#> [115] 2.3828459 2.3628020 2.3431050 2.3237460 2.3047166 2.2860086
#> [121] 2.2676139 2.2495248 2.2317340 2.2142341 2.1970183 2.1800796
#> [127] 2.1634117 2.1470081 2.1308626 2.1149695 2.0993228 2.0839169
#> [133] 2.0687465 2.0538062 2.0390910 2.0245958 2.0103159 1.9962466
#> [139] 1.9823833 1.9687217 1.9552573 1.9419861 1.9289041 1.9160072
#> [145] 1.9032916 1.8907536 1.8783897 1.8661962 1.8541697 1.8423069
#> [151] 1.8306045 1.8190594 1.8076685 1.7964288 1.7853373 1.7743912
#> [157] 1.7635878 1.7529242 1.7423980 1.7320064 1.7217471 1.7116175
#> [163] 1.7016152 1.6917380 1.6819835 1.6723496 1.6628340 1.6534347
#> [169] 1.6441496 1.6349767 1.6259139 1.6169595 1.6081115 1.5993680
#> [175] 1.5907273 1.5821877 1.5737474 1.5654047 1.5571580 1.5490057
#> [181] 1.5409463 1.5329782 1.5250999 1.5173100 1.5096069 1.5019894
#> [187] 1.4944560 1.4870055 1.4796364 1.4723475 1.4651376 1.4580054
#> [193] 1.4509496 1.4439692 1.4370630 1.4302298 1.4234684 1.4167779
#> [199] 1.4101572 1.4036052 1.3971208 1.3907031 1.3843511 1.3780639
#> [205] 1.3718404 1.3656798 1.3595811 1.3535434 1.3475659 1.3416478
#> [211] 1.3357881 1.3299860 1.3242408 1.3185515 1.3129176 1.3073381
#> [217] 1.3018124 1.2963396 1.2909191 1.2855501 1.2802320 1.2749641
#> [223] 1.2697457 1.2645760 1.2594546 1.2543807 1.2493537 1.2443729
#> [229] 1.2394379 1.2345480 1.2297025 1.2249010 1.2201428 1.2154275
#> [235] 1.2107544 1.2061230 1.2015328 1.1969833 1.1924740 1.1880043
#> [241] 1.1835738 1.1791819 1.1748283 1.1705124 1.1662338 1.1619920
#> [247] 1.1577866 1.1536171 1.1494831 1.1453841 1.1413198 1.1372898
#> [253] 1.1332936 1.1293308 1.1254011 1.1215040 1.1176392 1.1138063
#> [259] 1.1100049 1.1062347 1.1024953 1.0987864 1.0951075 1.0914585
#> [265] 1.0878388 1.0842482 1.0806864 1.0771531 1.0736479 1.0701705
#> [271] 1.0667206 1.0632979 1.0599021 1.0565330 1.0531901 1.0498733
#> [277] 1.0465822 1.0433167 1.0400763 1.0368608 1.0336700 1.0305037
#> [283] 1.0273614 1.0242431 1.0211484 1.0180770 1.0150289 1.0120036
#> [289] 1.0090010 1.0060208 1.0030628 1.0001268 0.9972126 0.9943198
#> [295] 0.9914484 0.9885981 0.9857686 0.9829598 0.9801715 0.9774034
#> [301] 0.9746554 0.9719273 0.9692188 0.9665297 0.9638599 0.9612093
#> [307] 0.9585775 0.9559644 0.9533698 0.9507936 0.9482356 0.9456956
#> [313] 0.9431734 0.9406689 0.9381818 0.9357121 0.9332596 0.9308240
#> [319] 0.9284053 0.9260032 0.9236177 0.9212485 0.9188956 0.9165587
#> [325] 0.9142378 0.9119326 0.9096431 0.9073690 0.9051103 0.9028668
#> [331] 0.9006383 0.8984248 0.8962261 0.8940420 0.8918725 0.8897174
#> [337] 0.8875765 0.8854498 0.8833371 0.8812383 0.8791533 0.8770820
#> [343] 0.8750241 0.8729797 0.8709486 0.8689307 0.8669259 0.8649340
#> [349] 0.8629550 0.8609887 0.8590350 0.8570938 0.8551651 0.8532487
#> [355] 0.8513445 0.8494523 0.8475722 0.8457040 0.8438476 0.8420029
#> [361] 0.8401698 0.8383482 0.8365380 0.8347391 0.8329515 0.8311749
#> [367] 0.8294095 0.8276550 0.8259113 0.8241785 0.8224563 0.8207447
#> [373] 0.8190436 0.8173530 0.8156728 0.8140027 0.8123429 0.8106932
#> [379] 0.8090535 0.8074238 0.8058039 0.8041938 0.8025934 0.8010027
#> [385] 0.7994215 0.7978498 0.7962875 0.7947346 0.7931910 0.7916565
#> [391] 0.7901312 0.7886149 0.7871076 0.7856092 0.7841197 0.7826390
#> [397] 0.7811670 0.7797036 0.7782488 0.7768026 0.7753648 0.7739354
#> [403] 0.7725143 0.7711016 0.7696970 0.7683006 0.7669122 0.7655319
#> [409] 0.7641596 0.7627952 0.7614386 0.7600899 0.7587489 0.7574155
#> [415] 0.7560898 0.7547717 0.7534611 0.7521580 0.7508622 0.7495739
#> [421] 0.7482928 0.7470190 0.7457524 0.7444930 0.7432407 0.7419954
#> [427] 0.7407571 0.7395258 0.7383014 0.7370838 0.7358730 0.7346691
#> [433] 0.7334718 0.7322812 0.7310972 0.7299198 0.7287489 0.7275845
#> [439] 0.7264266 0.7252751 0.7241299 0.7229910 0.7218584 0.7207321
#> [445] 0.7196119 0.7184978 0.7173899 0.7162880 0.7151922 0.7141023
#> [451] 0.7130184 0.7119403 0.7108682 0.7098018 0.7087413 0.7076865
#> [457] 0.7066374 0.7055940 0.7045562 0.7035240 0.7024974 0.7014763
#> [463] 0.7004607 0.6994505 0.6984458 0.6974464 0.6964524 0.6954637
#> [469] 0.6944803 0.6935022 0.6925293 0.6915615 0.6905989 0.6896414
#> [475] 0.6886890 0.6877417 0.6867993 0.6858620 0.6849296 0.6840021
#> [481] 0.6830796 0.6821619 0.6812490 0.6803410 0.6794377 0.6785392
#> [487] 0.6776453 0.6767562 0.6758717 0.6749919 0.6741167 0.6732460
#> [493] 0.6723799 0.6715183 0.6706612 0.6698085 0.6689603 0.6681165
#> [499] 0.6672771 0.6664421 0.6656113 0.6647849 0.6639628 0.6631449
#> [505] 0.6623313 0.6615218 0.6607165 0.6599154 0.6591184 0.6583256
#> [511] 0.6575368 0.6567520 0.6559713 0.6551946 0.6544219 0.6536532
#> [517] 0.6528884 0.6521275 0.6513705 0.6506174 0.6498681 0.6491227
#> [523] 0.6483810 0.6476432 0.6469091 0.6461788 0.6454521 0.6447292
#> [529] 0.6440100 0.6432944 0.6425825 0.6418741 0.6411694 0.6404682
#> [535] 0.6397706 0.6390766 0.6383860 0.6376989 0.6370154 0.6363352
#> [541] 0.6356586 0.6349853 0.6343154 0.6336490 0.6329858 0.6323261
#> [547] 0.6316696 0.6310165 0.6303666 0.6297201 0.6290767 0.6284367
#> [553] 0.6277998 0.6271661 0.6265356 0.6259083 0.6252842 0.6246631
#> [559] 0.6240452 0.6234304 0.6228187 0.6222100 0.6216044 0.6210018
#> [565] 0.6204023 0.6198057 0.6192121 0.6186215 0.6180339 0.6174492
#> [571] 0.6168674 0.6162885 0.6157125 0.6151394 0.6145692 0.6140018
#> [577] 0.6134372 0.6128755 0.6123165 0.6117604 0.6112070 0.6106564
#> [583] 0.6101085 0.6095634 0.6090210 0.6084813 0.6079443 0.6074099
#> [589] 0.6068782 0.6063492 0.6058228 0.6052990 0.6047779 0.6042593
#> [595] 0.6037433 0.6032299 0.6027191 0.6022108 0.6017050 0.6012017
#> [601] 0.6007010 0.6002027 0.5997069 0.5992136 0.5987228 0.5982344
#> [607] 0.5977484 0.5972649 0.5967837 0.5963050 0.5958286 0.5953546
#> [613] 0.5948830 0.5944137 0.5939468 0.5934822 0.5930199 0.5925599
#> [619] 0.5921022 0.5916468 0.5911937 0.5907428 0.5902942 0.5898478
#> [625] 0.5894037 0.5889617 0.5885220 0.5880844 0.5876491 0.5872159
#> [631] 0.5867849 0.5863561 0.5859294 0.5855048 0.5850823 0.5846620
#> [637] 0.5842438 0.5838276 0.5834136 0.5830016 0.5825917 0.5821838
#> [643] 0.5817780 0.5813743 0.5809725 0.5805728 0.5801751 0.5797794
#> [649] 0.5793856 0.5789939 0.5786041 0.5782163 0.5778304 0.5774465
#> [655] 0.5770646 0.5766845 0.5763064 0.5759301 0.5755558 0.5751834
#> [661] 0.5748128 0.5744442 0.5740773 0.5737124 0.5733493 0.5729880
#> [667] 0.5726286 0.5722710 0.5719152 0.5715612 0.5712091 0.5708587
#> [673] 0.5705101 0.5701633 0.5698182 0.5694749 0.5691334 0.5687936
#> [679] 0.5684555 0.5681192 0.5677846 0.5674517 0.5671205 0.5667910
#> [685] 0.5664632 0.5661371 0.5658126 0.5654899 0.5651688 0.5648493
#> [691] 0.5645315 0.5642154 0.5639008 0.5635879 0.5632767 0.5629670
#> [697] 0.5626589 0.5623525 0.5620476 0.5617443 0.5614426 0.5611425
#> [703] 0.5608439 0.5605469 0.5602515 0.5599576 0.5596652 0.5593743
#> [709] 0.5590850 0.5587972 0.5585109 0.5582262 0.5579429 0.5576611
#> [715] 0.5573808 0.5571020 0.5568247 0.5565488 0.5562744 0.5560014
#> [721] 0.5557299 0.5554599 0.5551913 0.5549241 0.5546583 0.5543940
#> [727] 0.5541311 0.5538695 0.5536094 0.5533507 0.5530934 0.5528375
#> [733] 0.5525829 0.5523297 0.5520779 0.5518275 0.5515784 0.5513307
#> [739] 0.5510843 0.5508392 0.5505955 0.5503531 0.5501121 0.5498724
#> [745] 0.5496339 0.5493968 0.5491610 0.5489265 0.5486933 0.5484614
#> [751] 0.5482307 0.5480014 0.5477733 0.5475465 0.5473209 0.5470966
#> [757] 0.5468736 0.5466518 0.5464312 0.5462119 0.5459938 0.5457769
#> [763] 0.5455613 0.5453469 0.5451337 0.5449217 0.5447109 0.5445013
#> [769] 0.5442930 0.5440858 0.5438797 0.5436749 0.5434713 0.5432688
#> [775] 0.5430675 0.5428673 0.5426683 0.5424705 0.5422738 0.5420782
#> [781] 0.5418838 0.5416906 0.5414984 0.5413074 0.5411176 0.5409288
#> [787] 0.5407411 0.5405546 0.5403692 0.5401848 0.5400016 0.5398195
#> [793] 0.5396384 0.5394585 0.5392796 0.5391018 0.5389251 0.5387494
#> [799] 0.5385748 0.5384013 0.5382288 0.5380574 0.5378870 0.5377177
#> [805] 0.5375494 0.5373822 0.5372160 0.5370508 0.5368866 0.5367235
#> [811] 0.5365614 0.5364003 0.5362402 0.5360811 0.5359230 0.5357660
#> [817] 0.5356099 0.5354548 0.5353007 0.5351476 0.5349955 0.5348443
#> [823] 0.5346941 0.5345449 0.5343967 0.5342494 0.5341031 0.5339578
#> [829] 0.5338134 0.5336699 0.5335274 0.5333859 0.5332452 0.5331056
#> [835] 0.5329668 0.5328290 0.5326921 0.5325561 0.5324211 0.5322869
#> [841] 0.5321537 0.5320214 0.5318900 0.5317595 0.5316299 0.5315012
#> [847] 0.5313734 0.5312465 0.5311205 0.5309953 0.5308711 0.5307477
#> [853] 0.5306252 0.5305035 0.5303828 0.5302629 0.5301439 0.5300257
#> [859] 0.5299084 0.5297919 0.5296763 0.5295615 0.5294476 0.5293345
#> [865] 0.5292223 0.5291109 0.5290003 0.5288906 0.5287817 0.5286736
#> [871] 0.5285663 0.5284599 0.5283543 0.5282495 0.5281455 0.5280423
#> [877] 0.5279399 0.5278383 0.5277375 0.5276375 0.5275383 0.5274399
#> [883] 0.5273423 0.5272455 0.5271495 0.5270542 0.5269597 0.5268660
#> [889] 0.5267731 0.5266809 0.5265895 0.5264989 0.5264090 0.5263199
#> [895] 0.5262316 0.5261440 0.5260572 0.5259711 0.5258857 0.5258011
#> [901] 0.5257173 0.5256342 0.5255518 0.5254702 0.5253893 0.5253091
#> [907] 0.5252296 0.5251509 0.5250729 0.5249956 0.5249191 0.5248432
#> [913] 0.5247681 0.5246937 0.5246200 0.5245470 0.5244747 0.5244031
#> [919] 0.5243322 0.5242620 0.5241925 0.5241237 0.5240556 0.5239881
#> [925] 0.5239214 0.5238553 0.5237899 0.5237252 0.5236612 0.5235979
#> [931] 0.5235352 0.5234732 0.5234119 0.5233512 0.5232912 0.5232319
#> [937] 0.5231732 0.5231152 0.5230578 0.5230011 0.5229450 0.5228896
#> [943] 0.5228349 0.5227808 0.5227273 0.5226745 0.5226223 0.5225707
#> [949] 0.5225198 0.5224695 0.5224199 0.5223708 0.5223224 0.5222747
#> [955] 0.5222275 0.5221810 0.5221351 0.5220898 0.5220451 0.5220011
#> [961] 0.5219576 0.5219148 0.5218726 0.5218309 0.5217899 0.5217495
#> [967] 0.5217097 0.5216705 0.5216319 0.5215938 0.5215564 0.5215196
#> [973] 0.5214833 0.5214477 0.5214126 0.5213781 0.5213442 0.5213109
#> [979] 0.5212781 0.5212460 0.5212144 0.5211833 0.5211529 0.5211230
#> [985] 0.5210937 0.5210649 0.5210368 0.5210091 0.5209821 0.5209556
#> [991] 0.5209296 0.5209043 0.5208794 0.5208552 0.5208314 0.5208083
#> [997] 0.5207856 0.5207636 0.5207420 0.5207210
bsmd1(20, 30, 0:2000 / 1000, 0.15, 0, 0.25)
#> [1] -Inf -51.2648036 -36.2334788 -29.5712749 -25.5980120 -22.8853050
#> [7] -20.8819699 -19.3242820 -18.0681049 -17.0271305 -16.1461043 -15.3877938
#> [13] -14.7260726 -14.1419943 -13.6214393 -13.1536410 -12.7302265 -12.3445732
#> [19] -11.9913650 -11.6662779 -11.3657546 -11.0868378 -10.8270459 -10.5842793
#> [25] -10.3567476 -10.1429135 -9.9414487 -9.7511986 -9.5711542 -9.4004293
#> [31] -9.2382419 -9.0838988 -8.9367835 -8.7963451 -8.6620898 -8.5335736
#> [37] -8.4103959 -8.2921944 -8.1786400 -8.0694335 -7.9643022 -7.8629964
#> [43] -7.7652878 -7.6709663 -7.5798390 -7.4917277 -7.4064681 -7.3239081
#> [49] -7.2439067 -7.1663330 -7.0910654 -7.0179907 -6.9470031 -6.8780040
#> [55] -6.8109013 -6.7456085 -6.6820449 -6.6201344 -6.5598058 -6.5009918
#> [61] -6.4436295 -6.3876592 -6.3330247 -6.2796731 -6.2275542 -6.1766205
#> [67] -6.1268273 -6.0781319 -6.0304940 -5.9838752 -5.9382393 -5.8935515
#> [73] -5.8497790 -5.8068906 -5.7648562 -5.7236475 -5.6832374 -5.6436000
#> [79] -5.6047104 -5.5665452 -5.5290816 -5.4922981 -5.4561739 -5.4206893
#> [85] -5.3858252 -5.3515634 -5.3178864 -5.2847776 -5.2522206 -5.2202002
#> [91] -5.1887014 -5.1577100 -5.1272121 -5.0971946 -5.0676447 -5.0385501
#> [97] -5.0098990 -4.9816800 -4.9538822 -4.9264949 -4.8995079 -4.8729113
#> [103] -4.8466956 -4.8208515 -4.7953702 -4.7702431 -4.7454618 -4.7210183
#> [109] -4.6969048 -4.6731138 -4.6496379 -4.6264701 -4.6036036 -4.5810316
#> [115] -4.5587479 -4.5367460 -4.5150201 -4.4935642 -4.4723726 -4.4514398
#> [121] -4.4307604 -4.4103293 -4.3901413 -4.3701916 -4.3504753 -4.3309878
#> [127] -4.3117247 -4.2926814 -4.2738538 -4.2552377 -4.2368290 -4.2186239
#> [133] -4.2006183 -4.1828088 -4.1651915 -4.1477630 -4.1305198 -4.1134585
#> [139] -4.0965760 -4.0798689 -4.0633342 -4.0469688 -4.0307698 -4.0147342
#> [145] -3.9988594 -3.9831424 -3.9675806 -3.9521715 -3.9369124 -3.9218008
#> [151] -3.9068343 -3.8920106 -3.8773272 -3.8627819 -3.8483725 -3.8340968
#> [157] -3.8199527 -3.8059381 -3.7920509 -3.7782892 -3.7646511 -3.7511345
#> [163] -3.7377378 -3.7244589 -3.7112963 -3.6982480 -3.6853124 -3.6724879
#> [169] -3.6597727 -3.6471653 -3.6346642 -3.6222677 -3.6099744 -3.5977827
#> [175] -3.5856913 -3.5736987 -3.5618036 -3.5500044 -3.5383001 -3.5266891
#> [181] -3.5151702 -3.5037423 -3.4924039 -3.4811540 -3.4699913 -3.4589146
#> [187] -3.4479229 -3.4370149 -3.4261897 -3.4154460 -3.4047828 -3.3941992
#> [193] -3.3836940 -3.3732663 -3.3629151 -3.3526393 -3.3424381 -3.3323105
#> [199] -3.3222556 -3.3122725 -3.3023603 -3.2925181 -3.2827451 -3.2730404
#> [205] -3.2634032 -3.2538327 -3.2443281 -3.2348886 -3.2255134 -3.2162017
#> [211] -3.2069529 -3.1977661 -3.1886407 -3.1795759 -3.1705711 -3.1616255
#> [217] -3.1527385 -3.1439094 -3.1351375 -3.1264222 -3.1177629 -3.1091590
#> [223] -3.1006097 -3.0921146 -3.0836730 -3.0752843 -3.0669480 -3.0586635
#> [229] -3.0504301 -3.0422475 -3.0341150 -3.0260321 -3.0179982 -3.0100129
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#> [1351] -0.5535013 -0.5526727 -0.5518447 -0.5510175 -0.5501909 -0.5493650
#> [1357] -0.5485398 -0.5477153 -0.5468915 -0.5460683 -0.5452458 -0.5444240
#> [1363] -0.5436029 -0.5427824 -0.5419627 -0.5411436 -0.5403251 -0.5395074
#> [1369] -0.5386903 -0.5378739 -0.5370581 -0.5362431 -0.5354286 -0.5346149
#> [1375] -0.5338018 -0.5329894 -0.5321776 -0.5313665 -0.5305560 -0.5297463
#> [1381] -0.5289371 -0.5281286 -0.5273208 -0.5265137 -0.5257071 -0.5249013
#> [1387] -0.5240961 -0.5232915 -0.5224876 -0.5216843 -0.5208817 -0.5200797
#> [1393] -0.5192783 -0.5184777 -0.5176776 -0.5168782 -0.5160794 -0.5152813
#> [1399] -0.5144838 -0.5136869 -0.5128907 -0.5120951 -0.5113001 -0.5105058
#> [1405] -0.5097121 -0.5089190 -0.5081266 -0.5073348 -0.5065436 -0.5057530
#> [1411] -0.5049631 -0.5041738 -0.5033851 -0.5025970 -0.5018096 -0.5010227
#> [1417] -0.5002365 -0.4994509 -0.4986659 -0.4978816 -0.4970978 -0.4963147
#> [1423] -0.4955322 -0.4947503 -0.4939690 -0.4931883 -0.4924082 -0.4916287
#> [1429] -0.4908498 -0.4900716 -0.4892939 -0.4885169 -0.4877404 -0.4869646
#> [1435] -0.4861893 -0.4854147 -0.4846406 -0.4838672 -0.4830943 -0.4823220
#> [1441] -0.4815504 -0.4807793 -0.4800088 -0.4792389 -0.4784696 -0.4777009
#> [1447] -0.4769328 -0.4761653 -0.4753983 -0.4746319 -0.4738662 -0.4731010
#> [1453] -0.4723364 -0.4715724 -0.4708089 -0.4700460 -0.4692838 -0.4685221
#> [1459] -0.4677609 -0.4670004 -0.4662404 -0.4654810 -0.4647222 -0.4639639
#> [1465] -0.4632063 -0.4624492 -0.4616926 -0.4609366 -0.4601812 -0.4594264
#> [1471] -0.4586722 -0.4579185 -0.4571653 -0.4564128 -0.4556607 -0.4549093
#> [1477] -0.4541584 -0.4534081 -0.4526583 -0.4519091 -0.4511605 -0.4504124
#> [1483] -0.4496649 -0.4489179 -0.4481715 -0.4474256 -0.4466803 -0.4459355
#> [1489] -0.4451913 -0.4444477 -0.4437046 -0.4429620 -0.4422200 -0.4414785
#> [1495] -0.4407376 -0.4399972 -0.4392574 -0.4385181 -0.4377793 -0.4370411
#> [1501] -0.4363035 -0.4355663 -0.4348298 -0.4340937 -0.4333582 -0.4326232
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#> [1525] -0.4187596 -0.4180352 -0.4173113 -0.4165880 -0.4158651 -0.4151428
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#> [1537] -0.4101009 -0.4093827 -0.4086649 -0.4079477 -0.4072310 -0.4065149
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#> [1549] -0.4015157 -0.4008036 -0.4000919 -0.3993808 -0.3986701 -0.3979600
#> [1555] -0.3972503 -0.3965412 -0.3958325 -0.3951244 -0.3944167 -0.3937095
#> [1561] -0.3930029 -0.3922967 -0.3915910 -0.3908858 -0.3901811 -0.3894769
#> [1567] -0.3887732 -0.3880699 -0.3873672 -0.3866649 -0.3859631 -0.3852619
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#> [1585] -0.3761890 -0.3754944 -0.3748004 -0.3741068 -0.3734136 -0.3727210
#> [1591] -0.3720288 -0.3713371 -0.3706458 -0.3699550 -0.3692647 -0.3685749
#> [1597] -0.3678855 -0.3671966 -0.3665082 -0.3658202 -0.3651327 -0.3644457
#> [1603] -0.3637591 -0.3630730 -0.3623874 -0.3617022 -0.3610175 -0.3603332
#> [1609] -0.3596494 -0.3589661 -0.3582832 -0.3576008 -0.3569188 -0.3562373
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#> [1639] -0.3393465 -0.3386766 -0.3380072 -0.3373382 -0.3366697 -0.3360016
#> [1645] -0.3353340 -0.3346668 -0.3340000 -0.3333337 -0.3326678 -0.3320023
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#> [1657] -0.3273561 -0.3266941 -0.3260326 -0.3253714 -0.3247107 -0.3240504
#> [1663] -0.3233905 -0.3227310 -0.3220720 -0.3214134 -0.3207553 -0.3200975
#> [1669] -0.3194402 -0.3187833 -0.3181268 -0.3174707 -0.3168151 -0.3161599
#> [1675] -0.3155051 -0.3148507 -0.3141968 -0.3135432 -0.3128901 -0.3122374
#> [1681] -0.3115851 -0.3109332 -0.3102818 -0.3096307 -0.3089801 -0.3083299
#> [1687] -0.3076801 -0.3070307 -0.3063817 -0.3057331 -0.3050849 -0.3044372
#> [1693] -0.3037899 -0.3031429 -0.3024964 -0.3018503 -0.3012046 -0.3005593
#> [1699] -0.2999144 -0.2992699 -0.2986258 -0.2979821 -0.2973389 -0.2966960
#> [1705] -0.2960535 -0.2954115 -0.2947698 -0.2941285 -0.2934877 -0.2928472
#> [1711] -0.2922072 -0.2915675 -0.2909282 -0.2902894 -0.2896509 -0.2890128
#> [1717] -0.2883751 -0.2877379 -0.2871010 -0.2864645 -0.2858284 -0.2851927
#> [1723] -0.2845574 -0.2839225 -0.2832880 -0.2826538 -0.2820201 -0.2813867
#> [1729] -0.2807538 -0.2801212 -0.2794890 -0.2788572 -0.2782258 -0.2775948
#> [1735] -0.2769642 -0.2763340 -0.2757041 -0.2750746 -0.2744456 -0.2738169
#> [1741] -0.2731885 -0.2725606 -0.2719331 -0.2713059 -0.2706791 -0.2700527
#> [1747] -0.2694267 -0.2688010 -0.2681758 -0.2675509 -0.2669264 -0.2663023
#> [1753] -0.2656785 -0.2650552 -0.2644322 -0.2638096 -0.2631873 -0.2625655
#> [1759] -0.2619440 -0.2613228 -0.2607021 -0.2600817 -0.2594618 -0.2588421
#> [1765] -0.2582229 -0.2576040 -0.2569855 -0.2563674 -0.2557496 -0.2551322
#> [1771] -0.2545152 -0.2538985 -0.2532822 -0.2526663 -0.2520508 -0.2514356
#> [1777] -0.2508208 -0.2502063 -0.2495922 -0.2489785 -0.2483651 -0.2477522
#> [1783] -0.2471395 -0.2465273 -0.2459153 -0.2453038 -0.2446926 -0.2440818
#> [1789] -0.2434713 -0.2428612 -0.2422515 -0.2416421 -0.2410331 -0.2404245
#> [1795] -0.2398161 -0.2392082 -0.2386006 -0.2379934 -0.2373865 -0.2367800
#> [1801] -0.2361738 -0.2355680 -0.2349626 -0.2343575 -0.2337527 -0.2331483
#> [1807] -0.2325443 -0.2319406 -0.2313372 -0.2307343 -0.2301316 -0.2295293
#> [1813] -0.2289274 -0.2283258 -0.2277246 -0.2271237 -0.2265232 -0.2259230
#> [1819] -0.2253231 -0.2247236 -0.2241245 -0.2235257 -0.2229272 -0.2223291
#> [1825] -0.2217313 -0.2211339 -0.2205368 -0.2199401 -0.2193437 -0.2187476
#> [1831] -0.2181519 -0.2175565 -0.2169615 -0.2163668 -0.2157725 -0.2151785
#> [1837] -0.2145848 -0.2139915 -0.2133985 -0.2128058 -0.2122135 -0.2116216
#> [1843] -0.2110299 -0.2104386 -0.2098476 -0.2092570 -0.2086667 -0.2080768
#> [1849] -0.2074871 -0.2068978 -0.2063089 -0.2057203 -0.2051320 -0.2045440
#> [1855] -0.2039564 -0.2033691 -0.2027821 -0.2021955 -0.2016092 -0.2010232
#> [1861] -0.2004376 -0.1998523 -0.1992673 -0.1986826 -0.1980983 -0.1975143
#> [1867] -0.1969306 -0.1963473 -0.1957643 -0.1951816 -0.1945992 -0.1940172
#> [1873] -0.1934355 -0.1928541 -0.1922730 -0.1916923 -0.1911118 -0.1905317
#> [1879] -0.1899520 -0.1893725 -0.1887934 -0.1882146 -0.1876361 -0.1870579
#> [1885] -0.1864801 -0.1859025 -0.1853253 -0.1847484 -0.1841719 -0.1835956
#> [1891] -0.1830197 -0.1824440 -0.1818687 -0.1812938 -0.1807191 -0.1801447
#> [1897] -0.1795707 -0.1789970 -0.1784236 -0.1778505 -0.1772777 -0.1767052
#> [1903] -0.1761331 -0.1755612 -0.1749897 -0.1744185 -0.1738476 -0.1732770
#> [1909] -0.1727067 -0.1721367 -0.1715671 -0.1709977 -0.1704287 -0.1698600
#> [1915] -0.1692915 -0.1687234 -0.1681556 -0.1675881 -0.1670209 -0.1664541
#> [1921] -0.1658875 -0.1653212 -0.1647552 -0.1641896 -0.1636242 -0.1630592
#> [1927] -0.1624944 -0.1619300 -0.1613659 -0.1608020 -0.1602385 -0.1596753
#> [1933] -0.1591123 -0.1585497 -0.1579874 -0.1574254 -0.1568637 -0.1563022
#> [1939] -0.1557411 -0.1551803 -0.1546198 -0.1540596 -0.1534996 -0.1529400
#> [1945] -0.1523807 -0.1518217 -0.1512629 -0.1507045 -0.1501464 -0.1495885
#> [1951] -0.1490310 -0.1484737 -0.1479168 -0.1473601 -0.1468038 -0.1462477
#> [1957] -0.1456919 -0.1451364 -0.1445812 -0.1440263 -0.1434717 -0.1429174
#> [1963] -0.1423634 -0.1418097 -0.1412562 -0.1407031 -0.1401502 -0.1395977
#> [1969] -0.1390454 -0.1384934 -0.1379417 -0.1373903 -0.1368392 -0.1362884
#> [1975] -0.1357378 -0.1351876 -0.1346376 -0.1340879 -0.1335385 -0.1329894
#> [1981] -0.1324406 -0.1318921 -0.1313438 -0.1307958 -0.1302482 -0.1297008
#> [1987] -0.1291536 -0.1286068 -0.1280603 -0.1275140 -0.1269680 -0.1264223
#> [1993] -0.1258769 -0.1253318 -0.1247869 -0.1242423 -0.1236980 -0.1231540
#> [1999] -0.1226103 -0.1220669 -0.1215237