Description Usage Arguments Value References Examples
Simulate Stochastic Volitility model with two factors model (no jump) with given length and other parameters
1 2 3 |
M |
number of interverals to be simulated |
m |
number of time points within each interval |
p.0 |
start price |
mu |
drift |
v.1 |
volatility parameter |
v.2 |
volatility parameter |
beta.0 |
underlying Brownian motion intercept paramter |
beta.1 |
underlying Brownian motion slope parameter |
beta.2 |
underlying Brownian motion slope parameter |
alpha.1 |
volatility parameter |
alpha.2 |
volatility parameter |
beta.v2 |
second factor Brownian motion slope parameter |
r1 |
correlation to first factor |
r2 |
correlation to second factor |
simulated time series
Chernov, M., et al. (2003). "Alternative models for stock price dynamics." Journal of Econometrics 116(1): 225-257.
1 | SV2F(1000,390)
|
Loading required package: MASS
[1] 3.0045377924 3.0371575861 3.0338030043 3.0471761163 3.0309711746
[6] 3.0289904146 3.0067265833 2.9972881792 2.9727143627 2.9940317468
[11] 2.9758624620 3.0048573596 2.9910897127 2.9778270847 2.9552063745
[16] 2.9708523543 2.9442948317 2.9520250169 2.9638466774 2.9548321066
[21] 2.9493985277 2.9636445171 2.9561028524 2.9514040719 2.9606036100
[26] 2.9661467163 2.9518270023 2.9530749962 2.9633092255 2.9455047614
[31] 2.9575590846 2.9675087400 2.9720901384 2.9800483409 2.9567562486
[36] 2.9470019285 2.9589997377 2.9582517678 2.9582044291 2.9339454922
[41] 2.9268606518 2.9201580378 2.9286744201 2.9183492162 2.9157450223
[46] 2.9418797906 2.9542492684 2.9561631063 2.9453036029 2.9755774671
[51] 2.9681560985 2.9703718079 2.9594498784 2.9598265215 2.9553541483
[56] 2.9468198489 2.9365099428 2.9369546038 2.9237647553 2.9384029481
[61] 2.9378805876 2.9500244710 2.9412117779 2.9495307279 2.9647564337
[66] 2.9598005664 2.9501717387 2.9471649394 2.9340247955 2.9395755525
[71] 2.9286031868 2.9153933033 2.9102797903 2.9126710802 2.9333460910
[76] 2.9192369256 2.9209116847 2.9206145194 2.9317428923 2.9192031424
[81] 2.9341441083 2.9520620518 2.9479259469 2.9453182316 2.9552866795
[86] 2.9405437635 2.9314746733 2.9096313654 2.9030415458 2.9204064309
[91] 2.9039081942 2.9369675702 2.9246755997 2.8948051655 2.9059001531
[96] 2.9295894468 2.9357084690 2.9585911527 2.9636160657 2.9798632857
[101] 2.9807265383 2.9738622057 2.9861139387 3.0112464822 3.0178599811
[106] 3.0107404838 2.9977894567 3.0076562547 3.0035185948 2.9994313414
[111] 2.9788652822 2.9636521545 2.9479977119 2.9414882771 2.9532879014
[116] 2.9919828344 3.0273119491 3.0561768656 3.0534063765 3.0454302190
[121] 3.0281158051 3.0399451579 3.0520502167 3.0435587348 3.0269257573
[126] 3.0433180268 3.0662814763 3.0622271027 3.0728211915 3.0930399975
[131] 3.0933188350 3.0726847078 3.0903684330 3.0962041475 3.0990601682
[136] 3.1099956614 3.1160705091 3.1319767542 3.1340778173 3.1372466743
[141] 3.1526482058 3.1651564551 3.1785264651 3.1654558494 3.1548583311
[146] 3.1630703478 3.1550559787 3.1612641492 3.1615549590 3.1445208255
[151] 3.1607194043 3.1712212152 3.1813201515 3.1885694136 3.2087596001
[156] 3.2160427327 3.2123844209 3.2244861131 3.2422939139 3.2622769069
[161] 3.2729818507 3.2826531138 3.2657537007 3.2810667735 3.2940835528
[166] 3.2947230540 3.2883705322 3.2801450069 3.3105276429 3.3072714014
[171] 3.2798533997 3.2742577209 3.2524407166 3.2362524910 3.2756649229
[176] 3.2693341353 3.2648142412 3.2573647072 3.2485967813 3.2710967204
[181] 3.2791341312 3.2772430149 3.2572835876 3.2584213361 3.2661616162
[186] 3.2767729661 3.2583091395 3.2601650774 3.2590740677 3.2683858164
[191] 3.2817323120 3.2931068034 3.2939756446 3.2728991752 3.2795837051
[196] 3.2703691558 3.2695742324 3.2838824377 3.2681825747 3.2705927343
[201] 3.2894654572 3.3040412965 3.3057294923 3.2957106286 3.2838802499
[206] 3.2701541829 3.2656655435 3.2598043297 3.2594204788 3.2280590230
[211] 3.2128490805 3.1908548390 3.1903979042 3.1914888204 3.1954788828
[216] 3.1956469768 3.1866859189 3.1763725898 3.1859461338 3.1758746571
[221] 3.1622735741 3.1575278300 3.1549311576 3.1560704754 3.1548020273
[226] 3.1464654552 3.1455615306 3.1404827061 3.1340604283 3.1547512091
[231] 3.1553174474 3.1502143220 3.1544694186 3.1525430190 3.1411641669
[236] 3.1485853504 3.1402994466 3.1204686378 3.1073865939 3.0981787060
[241] 3.0857012916 3.0853627670 3.0788993775 3.0895207290 3.0998277821
[246] 3.1033049984 3.1193880994 3.1137652778 3.1104574350 3.0969199678
[251] 3.0978549569 3.0929588557 3.0900238224 3.1006083955 3.1032120788
[256] 3.0887202195 3.0902128049 3.0953618088 3.0871101101 3.0996583136
[261] 3.1056194984 3.1138577629 3.1216528247 3.1287405302 3.1333011889
[266] 3.1194169113 3.1224780735 3.1263738361 3.1451475361 3.1416558722
[271] 3.1263919120 3.1189124631 3.1315594470 3.1240410818 3.1223734219
[276] 3.1196443838 3.1224803152 3.1019257768 3.0928742371 3.1075259382
[281] 3.1005994505 3.1082718536 3.1066612426 3.0975840621 3.0986325272
[286] 3.0905758086 3.1095077157 3.0980674474 3.0997678968 3.1083400149
[291] 3.1120214470 3.1029213849 3.0986740261 3.1156027884 3.1068099231
[296] 3.1047734341 3.1224837889 3.1230361155 3.1086464259 3.1046495297
[301] 3.1046381346 3.1034003821 3.0930551814 3.0891713908 3.0802737925
[306] 3.0813066441 3.0761994264 3.0757789494 3.0730391261 3.0848744938
[311] 3.0826612951 3.0806217864 3.0906943357 3.0751124842 3.0648505981
[316] 3.0692373841 3.0653177791 3.0678176588 3.0588593056 3.0425282266
[321] 3.0190125822 3.0070273541 3.0005134491 2.9999535362 2.9894139026
[326] 2.9782414550 2.9857544069 2.9946453454 2.9935286728 2.9804199650
[331] 2.9662835804 2.9692091791 2.9811534232 2.9845917453 2.9947561142
[336] 2.9912219066 2.9940050748 2.9876947531 2.9911051562 2.9846518662
[341] 2.9795231902 2.9795208474 2.9762259569 2.9785044444 2.9796550808
[346] 2.9860288712 2.9944832446 2.9863311059 2.9812826913 2.9784155792
[351] 2.9705206791 2.9800809561 2.9868704138 2.9965107201 2.9945494874
[356] 2.9913885862 2.9954910003 2.9893481569 2.9916260337 2.9891770012
[361] 2.9863083707 2.9841467860 2.9850782375 2.9918857479 2.9930970863
[366] 2.9931851114 2.9994334422 3.0029657772 3.0081313800 3.0025846568
[371] 3.0012332654 3.0155053975 3.0116227524 3.0172889132 3.0073019698
[376] 3.0093240231 3.0137859065 3.0087019824 2.9886840194 2.9814896902
[381] 2.9889845245 2.9768386681 2.9827080289 3.0013207413 3.0052815319
[386] 3.0121593844 3.0140798232 3.0148920797 3.0075472193 3.0091887232
[391] 3.0180600546 3.0175619771 3.0237203141 3.0256821835 3.0340893503
[396] 3.0333165708 3.0401768016 3.0379429448 3.0497150629 3.0462966335
[401] 3.0365895916 3.0378524367 3.0258534571 3.0218879505 3.0275030363
[406] 3.0250124401 3.0198299102 3.0167170058 3.0126524523 3.0155776208
[411] 3.0170150774 3.0097612505 3.0162679873 3.0159091742 3.0092275121
[416] 3.0065151137 2.9976623441 2.9897727097 2.9875451830 3.0021117390
[421] 3.0125130504 3.0143758941 3.0120999698 3.0259451926 3.0268591034
[426] 3.0369321068 3.0294358055 3.0256031702 3.0322960622 3.0211247137
[431] 3.0111248535 3.0207670933 3.0186227149 3.0142157717 2.9986575504
[436] 3.0038710617 2.9970455301 2.9927926441 2.9911253844 2.9846073443
[441] 2.9783138082 2.9725918548 2.9688935048 2.9623349747 2.9672235405
[446] 2.9715571033 2.9659129520 2.9637934224 2.9625757543 2.9751616609
[451] 2.9899344686 2.9815642009 2.9533459584 2.9511125756 2.9428774923
[456] 2.9480149048 2.9506104410 2.9544663834 2.9502784853 2.9530432504
[461] 2.9703805506 2.9757245707 2.9939274767 2.9920715035 2.9981029643
[466] 3.0090466654 3.0061037301 3.0041193850 3.0106916256 3.0088492152
[471] 3.0037894057 3.0008950618 3.0014015055 3.0138311361 3.0324680860
[476] 3.0428905199 3.0405640976 3.0394521621 3.0380850793 3.0330121144
[481] 3.0294638644 3.0216525582 3.0082369314 2.9986387674 3.0014487367
[486] 3.0044171811 3.0082094230 3.0127766469 3.0167133498 3.0178101539
[491] 3.0272291041 3.0220321653 3.0314544379 3.0288997997 3.0301522500
[496] 3.0176237218 3.0060873950 3.0020253773 3.0039910721 3.0141089410
[501] 3.0198694331 3.0291485243 3.0346638001 3.0290539656 3.0240834092
[506] 3.0206192131 3.0266629623 3.0387993706 3.0350123809 3.0250170045
[511] 3.0210119840 3.0200213891 3.0250134981 3.0374655645 3.0346524230
[516] 3.0377071261 3.0363423554 3.0344267213 3.0381632396 3.0393998813
[521] 3.0293543409 3.0268329177 3.0277883733 3.0343125352 3.0355575091
[526] 3.0261554987 3.0345947558 3.0422574195 3.0362775835 3.0381059771
[531] 3.0409855787 3.0481267115 3.0402028433 3.0469411814 3.0320298323
[536] 3.0309904446 3.0308510972 3.0307034624 3.0445246323 3.0499632431
[541] 3.0576929213 3.0611107667 3.0617846287 3.0494977510 3.0447658383
[546] 3.0461501892 3.0501009406 3.0536794946 3.0562252681 3.0614830706
[551] 3.0578691168 3.0512265422 3.0462163476 3.0476157934 3.0534382972
[556] 3.0540273478 3.0676073803 3.0694203759 3.0724337608 3.0848341090
[561] 3.0963514806 3.0958989898 3.0969805533 3.1039453394 3.1033299437
[566] 3.0951218978 3.0990231297 3.1017167877 3.1165123113 3.1059047127
[571] 3.1106531438 3.1237862385 3.1205091546 3.1205469385 3.1113343350
[576] 3.1196800756 3.1174697185 3.1233401393 3.1218819975 3.1212957576
[581] 3.1228891248 3.1279997256 3.1243115068 3.1258389868 3.1289684996
[586] 3.1222401401 3.1374408629 3.1348994434 3.1336484490 3.1274071880
[591] 3.1180154756 3.1237893957 3.1161666968 3.1220852447 3.1044064620
[596] 3.1101203881 3.1095097828 3.1169490849 3.1205081082 3.1188697798
[601] 3.1073660151 3.0893170106 3.0907175728 3.0804377157 3.0881127572
[606] 3.0980344891 3.1025554731 3.1086479015 3.1043774744 3.1046194109
[611] 3.1039923189 3.1172342292 3.0990689330 3.1243543112 3.1406246562
[616] 3.1352293429 3.1262708510 3.1350097199 3.1435115149 3.1413487586
[621] 3.1401043551 3.1352739672 3.1286055824 3.1193637076 3.1110108847
[626] 3.1239426261 3.1267954997 3.1079243340 3.1074940684 3.1113578931
[631] 3.1125892794 3.0970688629 3.1067764881 3.1079087150 3.1159581106
[636] 3.1266770977 3.1212968442 3.1117104771 3.1175195006 3.1305330813
[641] 3.1308061208 3.1196334745 3.1050863571 3.1064615367 3.1059842427
[646] 3.1091538335 3.0943568420 3.0784966039 3.0872631413 3.0931512987
[651] 3.1183770558 3.1307573214 3.1289728522 3.1029480015 3.1009925979
[656] 3.0884140124 3.0778544978 3.0939070444 3.0770147989 3.1115463777
[661] 3.0948741893 3.1556401876 3.1413745811 3.1050617694 3.1324638112
[666] 3.1604466389 3.1314343070 3.1129412848 3.1041494285 3.0937035691
[671] 3.0842151192 3.0878481344 3.0815690723 3.0957430477 3.1055895481
[676] 3.1143155393 3.0963461583 3.0856171836 3.0615653951 3.0479553927
[681] 3.0344791970 3.0318561729 3.0243492941 3.0076191996 3.0022001066
[686] 3.0219236770 3.0194656268 3.0443444900 3.0527251907 3.0469004066
[691] 3.0409607560 3.0413752218 3.0528231570 3.0899980540 3.0369717150
[696] 3.0617992330 3.0566729398 3.0654811836 3.0597220727 3.0904594989
[701] 3.0779994606 3.0361027500 3.0582588894 3.1018059556 3.0560371010
[706] 3.0737893975 3.0863243936 3.1182933200 3.1425852407 3.1646122324
[711] 3.1781480384 3.1730831813 3.1971749540 3.1906067291 3.1959728931
[716] 3.1406829749 3.1216894347 3.0986592547 3.0990797575 3.1186117208
[721] 3.1274982373 3.1751242968 3.1292924738 3.1420587814 3.1848301585
[726] 3.1581423064 3.1564287644 3.1498052148 3.1317295443 3.1315323017
[731] 3.1172648915 3.1076803738 3.1054247300 3.1033893935 3.1193127875
[736] 3.1232643164 3.1194205122 3.1188431909 3.1447101131 3.1779767705
[741] 3.1706966436 3.1439409048 3.1006348042 3.1025509039 3.0985573562
[746] 3.0390515103 3.0152018123 3.0208497626 3.0264030557 3.0886353582
[751] 3.0202007799 3.0040735863 3.0208175341 3.0142935761 2.9639311938
[756] 2.9219613109 2.9035957120 2.9361963709 2.9548305557 2.9837577265
[761] 2.9774077730 2.9631664977 2.9787242430 2.9389249764 2.9826836657
[766] 3.0057933895 3.0006121110 2.9911606142 3.0315963237 3.0102479386
[771] 2.9610775202 2.9681382382 2.9592172093 2.9727996304 2.9887115937
[776] 3.0222204956 3.0017454166 3.0077607168 2.9997653219 2.9955899087
[781] 2.9447497058 2.8933163687 2.8661346102 2.9030404512 2.8766576926
[786] 2.8640023056 2.8453090901 2.8377033753 2.8532785016 2.8468296376
[791] 2.8610443313 2.8749032395 2.8753224064 2.9059534666 2.9472763058
[796] 2.9338870376 2.9166139077 2.9291439919 2.9200718706 2.9686010627
[801] 2.9857019571 2.9636616608 2.9161914564 2.9044829975 2.8921014410
[806] 2.8981313595 2.8968816874 2.9133578288 2.8319948971 2.8501263007
[811] 2.8394712371 2.8259946989 2.8065569394 2.8087889825 2.7816988209
[816] 2.8168002487 2.8137417215 2.8422937125 2.8331490026 2.8520779092
[821] 2.8251742948 2.7947336719 2.8245846806 2.8115701129 2.8008656812
[826] 2.8082339486 2.8222251977 2.8639982703 2.8648978885 2.9185101078
[831] 2.8916784178 2.8900311951 2.8562048822 2.8758196486 2.8416431028
[836] 2.8447795645 2.8681866607 2.8904870148 2.8933968289 2.8999548019
[841] 2.9226633133 2.9279588275 2.9619373236 2.9524774899 2.8882129807
[846] 2.8815689721 2.8815449409 2.9089581771 2.9168928300 2.9225686525
[851] 2.8910516768 2.8974344319 2.8944173815 2.8824399276 2.8639599580
[856] 2.8252291662 2.7899162085 2.8107701807 2.8152691961 2.7893945283
[861] 2.7959820060 2.8175450667 2.8206255265 2.8463342015 2.8542705250
[866] 2.8609379046 2.8366332293 2.8426281959 2.8545081537 2.8617636913
[871] 2.8736518515 2.8802016952 2.8668559581 2.8557738796 2.8539908175
[876] 2.8640383640 2.8744415829 2.8756034949 2.8642257980 2.8592846271
[881] 2.8694710581 2.8561674435 2.8626148682 2.8780711134 2.8806272545
[886] 2.8784818552 2.8792979085 2.8858298666 2.8737496799 2.8708093955
[891] 2.8724268716 2.8797743563 2.8821501886 2.8848083212 2.8793251942
[896] 2.8757143349 2.8643107420 2.8869670574 2.8889619668 2.9123940230
[901] 2.8993904776 2.9267916837 2.9096981023 2.9048070852 2.8865805517
[906] 2.8898005673 2.8955470306 2.9097949746 2.9086373147 2.9189599050
[911] 2.9038900335 2.9152649277 2.9214955653 2.9274428153 2.9140599722
[916] 2.9191794686 2.9187305359 2.9187609373 2.9002031918 2.8928887138
[921] 2.9031666885 2.9115014163 2.8887340170 2.8932358032 2.8873644446
[926] 2.8948713919 2.8978218703 2.8730655951 2.8897653983 2.8951730944
[931] 2.8981020343 2.9175253554 2.9263760995 2.9236815410 2.9213923166
[936] 2.9194703247 2.9238794530 2.9360084175 2.9267185319 2.9187347968
[941] 2.9056911684 2.9225160947 2.9324398617 2.9321858599 2.9383322231
[946] 2.9330921039 2.9338943689 2.9384698663 2.9267981095 2.9212230983
[951] 2.9027924616 2.8928518561 2.8816427120 2.8801992362 2.8846859907
[956] 2.8808091121 2.8888976819 2.8986528070 2.9031127394 2.8896076783
[961] 2.8962907166 2.8948993752 2.8956129455 2.9032237845 2.9092129692
[966] 2.9024360244 2.9154980451 2.9066919868 2.8996833909 2.9072241148
[971] 2.9092240785 2.8806828445 2.8700162304 2.8674343475 2.8535197115
[976] 2.8674019517 2.8696251100 2.8996318726 2.9063755602 2.9058303654
[981] 2.8961392805 2.9032320457 2.9093732909 2.9212486731 2.9336110541
[986] 2.9295365180 2.9242960913 2.9138237062 2.9196771669 2.9173307711
[991] 2.9256191761 2.9201771010 2.9282178477 2.9292067449 2.9093444647
[996] 2.9049716260 2.8952913583 2.8886320791 2.8932986749 2.9101330320
[1001] 2.9044648052 2.9044510600 2.9131468521 2.9174595546 2.9181798359
[1006] 2.9028191164 2.8916167507 2.8836382597 2.8864253508 2.8835989411
[1011] 2.8776347559 2.8848967082 2.8780171138 2.8765512685 2.8701437500
[1016] 2.8786809520 2.8793383412 2.8848312341 2.8922230687 2.8834992992
[1021] 2.8917419146 2.8760220120 2.8610567305 2.8593397877 2.8635755756
[1026] 2.8661166310 2.8791034826 2.8639343479 2.8567069316 2.8607115141
[1031] 2.8752648607 2.8683927636 2.8516347222 2.8537158437 2.8274814596
[1036] 2.8217212219 2.8048615183 2.7950460152 2.7993651479 2.7994562039
[1041] 2.7990180831 2.8055399642 2.8026005341 2.7928392429 2.7898089255
[1046] 2.7760911526 2.7684229081 2.7774944201 2.7889119767 2.7843205505
[1051] 2.7862665846 2.7907090651 2.7855895670 2.7983737531 2.7948795421
[1056] 2.7855182599 2.7845469497 2.7880986035 2.7955881607 2.7787639531
[1061] 2.7651004443 2.7696497199 2.7729132223 2.7764947782 2.7730213593
[1066] 2.7723569125 2.7808307972 2.7686438494 2.7699132832 2.7674295501
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[1226] 2.7677102568 2.7633592419 2.7715186403 2.7757363867 2.7804946696
[1231] 2.7761774153 2.7814867386 2.7784620044 2.7703903406 2.7652963978
[1236] 2.7760345088 2.7738496465 2.7750457959 2.7704512930 2.7728591083
[1241] 2.7611550708 2.7437769509 2.7417050100 2.7472919500 2.7477560209
[1246] 2.7520135460 2.7485491733 2.7488367487 2.7491323725 2.7675727429
[1251] 2.7746473117 2.7669954062 2.7682257906 2.7607481865 2.7668910712
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[1261] 2.7580555706 2.7591406319 2.7617539631 2.7524542317 2.7554265398
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[1271] 2.7586397740 2.7578747408 2.7554356318 2.7512584433 2.7498153595
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[1281] 2.7605959155 2.7612611633 2.7585327922 2.7560607944 2.7592873077
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[1291] 2.7755861413 2.7715790658 2.7719726108 2.7706346546 2.7679465711
[1296] 2.7755006460 2.7722738984 2.7682670782 2.7724114973 2.7847073445
[1301] 2.7841136106 2.7731118123 2.7717987686 2.7635937679 2.7578474045
[1306] 2.7557725337 2.7662629404 2.7595553676 2.7684328054 2.7560905276
[1311] 2.7496975784 2.7550733753 2.7614814565 2.7570931292 2.7546890933
[1316] 2.7592162123 2.7537272335 2.7564303676 2.7601222222 2.7651660342
[1321] 2.7619134669 2.7616880543 2.7589600975 2.7689377041 2.7688635600
[1326] 2.7720163138 2.7758959011 2.7743121456 2.7878401412 2.7846413374
[1331] 2.7861132232 2.7863249615 2.7876090472 2.7859531346 2.7870442172
[1336] 2.7880720022 2.7844179609 2.7856576697 2.7863268929 2.7852242895
[1341] 2.7763263776 2.7752259626 2.7715576533 2.7677648295 2.7671040035
[1346] 2.7744449681 2.7778308102 2.7757768521 2.7774781352 2.7825016984
[1351] 2.7751820658 2.7749350771 2.7833243970 2.7858824922 2.7912758054
[1356] 2.7913215812 2.8018382129 2.8077627396 2.8095398171 2.8111733592
[1361] 2.8048057710 2.8143660339 2.8034757812 2.8061007449 2.8034285968
[1366] 2.8051308375 2.8047591798 2.8138294683 2.8111393521 2.8084508237
[1371] 2.7950216916 2.8046678859 2.8103534213 2.8151808681 2.8121997257
[1376] 2.8065336677 2.7916484062 2.7951948450 2.7975407265 2.7996785406
[1381] 2.8029212990 2.8099450703 2.8072105197 2.8118133793 2.8088196720
[1386] 2.8037642795 2.8182159272 2.8128271381 2.8243893144 2.8277973595
[1391] 2.8288748971 2.8324382591 2.8420080898 2.8349019148 2.8272373780
[1396] 2.8276787261 2.8301922055 2.8352722642 2.8400946847 2.8489207725
[1401] 2.8533418457 2.8526488503 2.8483963956 2.8538632506 2.8481078346
[1406] 2.8525830713 2.8439962200 2.8477484546 2.8437891351 2.8471341431
[1411] 2.8333817942 2.8398473342 2.8321009713 2.8338984380 2.8337923394
[1416] 2.8291794532 2.8295197598 2.8186682105 2.8118022300 2.8231490554
[1421] 2.8189934496 2.8102059104 2.8020504613 2.7980610003 2.7958858436
[1426] 2.8003687972 2.8091342105 2.8177372914 2.8159911110 2.8084017772
[1431] 2.8064823106 2.8182348608 2.8092908968 2.8088300162 2.8044738776
[1436] 2.8023243110 2.8083212734 2.8151113132 2.8055725392 2.8038168412
[1441] 2.8063541338 2.7974858005 2.7903539717 2.7922389795 2.7911769925
[1446] 2.7960238309 2.8007521056 2.8011292625 2.8000763800 2.7926051154
[1451] 2.7962756011 2.7953084476 2.7890307318 2.7806322287 2.7839839246
[1456] 2.7795915798 2.7802542583 2.7804658937 2.7692266126 2.7720258385
[1461] 2.7636695789 2.7606890302 2.7570212353 2.7555403444 2.7613215929
[1466] 2.7568304473 2.7549867305 2.7534616280 2.7573307125 2.7577721020
[1471] 2.7664339599 2.7713127718 2.7616549945 2.7620481297 2.7641674243
[1476] 2.7552173229 2.7482075168 2.7411405415 2.7484266570 2.7503636771
[1481] 2.7506531734 2.7458344148 2.7449519432 2.7519086764 2.7505835545
[1486] 2.7537302791 2.7545258524 2.7514183502 2.7538383493 2.7557418390
[1491] 2.7569585106 2.7607857048 2.7603137020 2.7589807050 2.7584388008
[1496] 2.7662343581 2.7696669703 2.7711306809 2.7683732300 2.7655908042
[1501] 2.7555721224 2.7620152032 2.7759887024 2.7699565757 2.7728445124
[1506] 2.7753684996 2.7532447854 2.7576288249 2.7637102503 2.7574050314
[1511] 2.7568210192 2.7532416319 2.7580638461 2.7471174335 2.7466533432
[1516] 2.7455890499 2.7494598720 2.7585325747 2.7562053204 2.7549875763
[1521] 2.7549921111 2.7478953562 2.7680711496 2.7657164864 2.7650527427
[1526] 2.7706580851 2.7682788070 2.7767258652 2.7942443484 2.7952756120
[1531] 2.8039288523 2.8041394100 2.8118070838 2.8127996850 2.8128967357
[1536] 2.8199887632 2.8250818191 2.8300448100 2.8291209622 2.8297132913
[1541] 2.8301196120 2.8350334229 2.8384733416 2.8462272390 2.8513245347
[1546] 2.8467690180 2.8498073783 2.8471906377 2.8487059991 2.8534977866
[1551] 2.8508731807 2.8498398398 2.8536492304 2.8543049291 2.8555335398
[1556] 2.8552830545 2.8512762700 2.8439019429 2.8538613650 2.8460826686
[1561] 2.8479721243 2.8584826835 2.8597392206 2.8626176909 2.8541822266
[1566] 2.8456003915 2.8408208224 2.8374709343 2.8321881573 2.8273292640
[1571] 2.8163963178 2.8075099519 2.7975555844 2.8041814142 2.8081763014
[1576] 2.8148526764 2.8104143932 2.8182138223 2.8232005573 2.8148947870
[1581] 2.8150612604 2.8153332880 2.8184518830 2.8209425212 2.8203327402
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[1591] 2.8385731462 2.8346088197 2.8391916821 2.8338109106 2.8363216296
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[1601] 2.8518991169 2.8511819861 2.8553722440 2.8403653610 2.8405674571
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[1631] 2.8211501022 2.8195479432 2.8235002971 2.8211330469 2.8234726302
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[1651] 2.8241616214 2.8228284390 2.8228851998 2.8211352623 2.8192604442
[1656] 2.8154732940 2.8063873091 2.7972373661 2.7871092732 2.7900843948
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[1681] 2.7942487201 2.8004025706 2.8005060262 2.8008784729 2.8012025066
[1686] 2.8068103003 2.8044160104 2.8079459354 2.8001653029 2.8044173916
[1691] 2.8051451177 2.7971156216 2.7974747603 2.8058737678 2.8099351868
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[1706] 2.8010814298 2.7986714191 2.7997932566 2.7977781349 2.8063592208
[1711] 2.8141802708 2.8190614238 2.8282322363 2.8216441950 2.8234062724
[1716] 2.8299988775 2.8263859624 2.8152494976 2.8157955764 2.8160832446
[1721] 2.8126487840 2.8149433723 2.8159064169 2.8092782028 2.8136849127
[1726] 2.8143363538 2.8145628657 2.8301889733 2.8281054458 2.8248325438
[1731] 2.8265407906 2.8268919423 2.8176571162 2.8286604406 2.8287548674
[1736] 2.8365920585 2.8385059453 2.8335588224 2.8305560838 2.8218318302
[1741] 2.8269021062 2.8366062919 2.8343000894 2.8374077213 2.8422307405
[1746] 2.8450692890 2.8463367870 2.8658549006 2.8705490128 2.8783894343
[1751] 2.8792115080 2.8778540987 2.8889262106 2.8749174421 2.8715539773
[1756] 2.8709892429 2.8703294914 2.8683783281 2.8652307820 2.8614746463
[1761] 2.8633147657 2.8578299481 2.8603048207 2.8606719255 2.8583891012
[1766] 2.8640972614 2.8629834686 2.8633108671 2.8638514054 2.8644909685
[1771] 2.8613190047 2.8525191571 2.8652563779 2.8587074427 2.8546244154
[1776] 2.8545009015 2.8533397160 2.8518958683 2.8606057688 2.8628520440
[1781] 2.8579403028 2.8639231310 2.8672504809 2.8656238043 2.8560413848
[1786] 2.8560355953 2.8486827950 2.8452158810 2.8360243595 2.8390133719
[1791] 2.8439608510 2.8406342493 2.8402226983 2.8356132973 2.8280720256
[1796] 2.8327948166 2.8371980664 2.8431706169 2.8504185427 2.8614059430
[1801] 2.8601375507 2.8583565555 2.8587114507 2.8636500813 2.8651648673
[1806] 2.8707249416 2.8592269834 2.8569877246 2.8576815019 2.8537356766
[1811] 2.8553861349 2.8599973769 2.8655286154 2.8674098691 2.8667650897
[1816] 2.8654528111 2.8682738943 2.8612552827 2.8695285886 2.8589061271
[1821] 2.8599469676 2.8584091328 2.8593609217 2.8573215832 2.8563705703
[1826] 2.8516185793 2.8523903587 2.8515060062 2.8548471823 2.8513322223
[1831] 2.8466352444 2.8470450316 2.8479984845 2.8484629408 2.8435847664
[1836] 2.8435655444 2.8473670441 2.8505593558 2.8495174156 2.8477234055
[1841] 2.8522969089 2.8492975669 2.8468884095 2.8492817214 2.8493563387
[1846] 2.8523059544 2.8530647766 2.8494225818 2.8481078375 2.8478819377
[1851] 2.8478996774 2.8474274204 2.8467507700 2.8488350716 2.8468077820
[1856] 2.8433153964 2.8418865296 2.8418886808 2.8448883863 2.8443619897
[1861] 2.8501535955 2.8514047927 2.8522531614 2.8515232470 2.8500313884
[1866] 2.8491918216 2.8506308807 2.8532349751 2.8552110877 2.8568759365
[1871] 2.8585595695 2.8549452880 2.8596441200 2.8551575641 2.8518913906
[1876] 2.8461206349 2.8511436140 2.8466797244 2.8399504308 2.8390289526
[1881] 2.8467806524 2.8515157804 2.8520509042 2.8536900976 2.8477103764
[1886] 2.8459487859 2.8452280689 2.8423454313 2.8466363477 2.8492051265
[1891] 2.8457053522 2.8410162013 2.8405542448 2.8395665909 2.8405575810
[1896] 2.8401799938 2.8435780165 2.8486859567 2.8518194205 2.8508148558
[1901] 2.8514350057 2.8482605425 2.8521758363 2.8541077629 2.8567986530
[1906] 2.8590028639 2.8632726178 2.8677392833 2.8664800334 2.8612506793
[1911] 2.8614131730 2.8625888370 2.8625226103 2.8612330717 2.8665298717
[1916] 2.8717507348 2.8782735341 2.8831951222 2.8747922903 2.8718368524
[1921] 2.8702319019 2.8691303532 2.8645392298 2.8696035980 2.8691632722
[1926] 2.8656190781 2.8654225337 2.8624945347 2.8635112600 2.8624753927
[1931] 2.8663730912 2.8699422711 2.8700303985 2.8654059386 2.8744877414
[1936] 2.8697146588 2.8663007626 2.8698044197 2.8650110308 2.8711008188
[1941] 2.8761141361 2.8803374882 2.8884609154 2.8786883103 2.8800513791
[1946] 2.8812651874 2.8888831350 2.8922333701 2.8906175945 2.8892138452
[1951] 2.8807535027 2.8768737851 2.8699142185 2.8774669267 2.8781999320
[1956] 2.8802125965 2.8739375183 2.8682313519 2.8710868496 2.8728362740
[1961] 2.8799776444 2.8852658583 2.8847110249 2.8842225218 2.8891812654
[1966] 2.8836014539 2.8861609382 2.8901183793 2.8911537381 2.8766513731
[1971] 2.8789577767 2.8834501494 2.8817992940 2.8755291469 2.8832356518
[1976] 2.8864846216 2.8874625281 2.8795128896 2.8794161662 2.8780281009
[1981] 2.8742523715 2.8772806159 2.8856921226 2.8854842845 2.8871823690
[1986] 2.8856131400 2.8863546432 2.8925943766 2.8940081977 2.8871397543
[1991] 2.8915891456 2.8829235371 2.8903987343 2.8908283551 2.8817386928
[1996] 2.8713272535 2.8800039636 2.8830167401 2.8825417411 2.8787299008
[2001] 2.8842168345 2.9026850639 2.9109358051 2.9105951063 2.8909493572
[2006] 2.8963441686 2.8944823734 2.8946828135 2.8934223143 2.8842866033
[2011] 2.8768435141 2.8736283309 2.8663366044 2.8769921040 2.8701328002
[2016] 2.8773659610 2.8675342868 2.8736797076 2.8918905768 2.8812087191
[2021] 2.8883150569 2.8880037634 2.8843261629 2.8640087032 2.8692706742
[2026] 2.8689219570 2.8868797975 2.8914960046 2.9073236159 2.9213773784
[2031] 2.9205901361 2.9387507703 2.9250650910 2.9220565860 2.9223539207
[2036] 2.9263863520 2.9255970569 2.9261732758 2.9315985956 2.9430137415
[2041] 2.9425293892 2.9363129558 2.9267220640 2.9105921865 2.9115044427
[2046] 2.9091984336 2.9167207621 2.9174106928 2.9282883521 2.9199923534
[2051] 2.9233401409 2.9190801139 2.9261939591 2.9209995606 2.9044695715
[2056] 2.8943879917 2.9013996773 2.9194659010 2.9114588296 2.9113944672
[2061] 2.9105490875 2.8977316653 2.8892163027 2.8742544216 2.8710940669
[2066] 2.8749996373 2.8847180069 2.8984103149 2.9013379327 2.9027845967
[2071] 2.9028790660 2.9215245356 2.9274013404 2.9370505720 2.9341957553
[2076] 2.9362456455 2.9554404777 2.9558077107 2.9582047880 2.9784640343
[2081] 2.9751130522 2.9687171561 2.9604206806 2.9728947117 2.9724647688
[2086] 2.9546771863 2.9682474234 2.9687661612 2.9926069856 3.0059451040
[2091] 3.0099854424 3.0174109471 3.0123478394 3.0278405912 3.0260653531
[2096] 3.0364622837 3.0379841099 3.0196411462 3.0076004596 3.0011388194
[2101] 3.0107252051 3.0232576963 3.0087804188 2.9986189171 3.0113031810
[2106] 3.0126076160 3.0119162489 3.0125752236 2.9914605548 2.9903336249
[2111] 2.9841864348 2.9890221013 2.9837566954 2.9734283039 2.9927228092
[2116] 2.9999093803 3.0004904791 3.0055525055 2.9980359682 3.0025298037
[2121] 3.0194494866 3.0244584922 3.0183230019 3.0098092907 3.0028921524
[2126] 3.0046027894 2.9985278427 3.0054265014 2.9893134372 2.9947248895
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