Multivariate volatility models

PERMNO date msft vwretd ewretd sprtrn 10107 20010103 0.105187 0.052945 0.046221 0.050099 10107 20010104 0.010430 -0.011796 0.011364 -0.010552 10107 20010105 0.014194 -0.028857 -0.008607 -0.026242 10107 20010108 -0.003817 -0.003433 -0.005051 -0.001918 10107 20010109 0.058748 0.004889 0.011808 0.003812 10107 20010110 0.020507 0.013824 0.020657 0.009586 10107 20010111 0.040189 0.014959 0.027183 0.010318 10107 20010112 -0.027273 -0.003536 0.019473 -0.006406 10107 20010116 -0.017523 0.006230 0.019410 0.006319 10107 20010117 0.007134 0.004503 0.012757 0.002126 10107 20010118 0.048406 0.012285 0.008504 0.013915 10107 20010119 0.099099 -0.004093 0.003892 -0.004028 10107 20010122 -0.014344 0.000299 0.005431 0.000268 10107 20010123 0.007277 0.015816 0.014520 0.013032 10107 20010124 0.039216 0.003290 0.007313 0.002867 10107 20010125 -0.017875 -0.007537 -0.003242 -0.004977 10107 20010126 0.035389 -0.000710 0.001972 -0.001886 10107 20010129 0.007813 0.008976 0.010237 0.006805 10107 20010130 -0.017442 0.006593 0.009543 0.007008 10107 20010131 -0.036489 -0.006669 -0.000180 -0.005620 10107 20010201 0.021494 0.003834 0.001991 0.005461 10107 20010202 -0.025050 -0.018595 -0.009213 -0.017474 10107 20010205 0.018499 0.002076 -0.003784 0.003587 10107 20010206 0.010091 0.000493 0.002474 -0.001514 10107 20010207 0.033966 -0.008783 -0.004362 -0.008408 10107 20010208 -0.037681 -0.006504 -0.003159 -0.006235 10107 20010209 -0.050201 -0.014258 -0.009423 -0.013336 10107 20010212 -0.006342 0.010374 0.004847 0.011827 10107 20010213 -0.009574 -0.008692 -0.003473 -0.008652 10107 20010214 0.003222 -0.000127 -0.000491 -0.002184 10107 20010215 0.007495 0.008944 0.009205 0.008124 10107 20010216 -0.025505 -0.020611 -0.014242 -0.018905 10107 20010220 -0.025082 -0.018808 -0.012359 -0.017357 10107 20010221 0.006711 -0.018357 -0.015700 -0.018508 10107 20010222 -0.018889 -0.004523 -0.010742 -0.001952 10107 20010223 0.028313 -0.003925 -0.002983 -0.005555 10107 20010226 0.049559 0.019209 0.016211 0.017490 10107 20010227 -0.003148 -0.011432 -0.011558 -0.007660 10107 20010228 -0.006316 -0.013730 -0.008440 -0.014309 10107 20010301 0.006091 0.000345 -0.005543 0.001040 10107 20010302 -0.045012 -0.004945 0.004569 -0.005680 10107 20010305 0.013230 0.005457 0.001908 0.005858 10107 20010306 0.034820 0.011477 0.009968 0.009981 10107 20010307 0.021030 0.006078 0.005586 0.006452 10107 20010308 -0.023687 -0.001273 -0.004225 0.002259 10107 20010309 -0.043249 -0.024337 -0.015029 -0.024764 10107 20010312 -0.083793 -0.042301 -0.030868 -0.043181 10107 20010313 0.043321 0.014949 0.005284 0.014829 10107 20010314 -0.003460 -0.025056 -0.017747 -0.025842 10107 20010315 -0.005787 0.003349 -0.000251 0.005871 10107 20010316 0.016298 -0.020826 -0.017626 -0.019624 10107 20010319 -0.004582 0.018599 0.009299 0.017627 10107 20010320 -0.029919 -0.023066 -0.008486 -0.024077 10107 20010321 -0.049822 -0.018677 -0.015953 -0.017924 10107 20010322 0.078652 -0.004431 -0.011255 -0.004064 10107 20010323 0.047454 0.020513 0.020753 0.019909 10107 20010326 -0.008840 0.011167 0.007496 0.011282 10107 20010327 0.039019 0.022980 0.009026 0.025575 10107 20010328 -0.046137 -0.026038 -0.017876 -0.024430 10107 20010329 -0.003375 -0.005390 -0.006626 -0.004630 10107 20010330 -0.012415 0.012095 0.016042 0.010784 10107 20010402 0.020571 -0.015533 -0.021405 -0.012462 10107 20010403 -0.043673 -0.035904 -0.034225 -0.034393 10107 20010404 -0.026932 -0.003307 -0.008306 -0.002901 10107 20010405 0.092659 0.045903 0.039432 0.043680 10107 20010406 -0.009912 -0.020124 -0.012896 -0.019984 10107 20010409 0.017130 0.009220 0.006249 0.008117 10107 20010410 0.044269 0.028974 0.023254 0.027066 10107 20010411 0.006032 -0.000843 0.006673 -0.002131 10107 20010412 0.035643 0.015896 0.014542 0.015104 10107 20010416 -0.022354 -0.004939 -0.003690 -0.003228 10107 20010417 0.011351 0.010440 0.004965 0.010282 10107 20010418 0.064249 0.039678 0.028615 0.038890 10107 20010419 0.039890 0.014683 0.015582 0.012551 10107 20010420 0.014109 -0.008437 0.001176 -0.008551 10107 20010423 -0.010870 -0.016726 -0.008232 -0.014980 10107 20010424 -0.010256 -0.010832 0.001786 -0.012161 10107 20010425 0.031680 0.016339 0.011507 0.015941 10107 20010426 -0.008036 0.005015 0.007508 0.004696 10107 20010427 -0.029076 0.014490 0.011156 0.015010 10107 20010430 0.009386 0.000759 0.010085 -0.002865 10107 20010501 0.035720 0.013245 0.010495 0.013590 10107 20010502 -0.005843 0.003369 0.012484 0.000782 10107 20010503 -0.017632 -0.015239 -0.005439 -0.014873 10107 20010504 0.032395 0.013961 0.010749 0.014440 10107 20010507 0.008905 -0.003175 0.001494 -0.002447 10107 20010508 0.009526 -0.000627 0.004887 -0.001828 10107 20010509 -0.023036 -0.004341 0.000598 -0.004488 10107 20010510 -0.005682 -0.000437 0.003118 -0.000287 10107 20010511 -0.008571 -0.007498 -0.001821 -0.007577 10107 20010514 -0.009798 0.000957 -0.002795 0.002609 10107 20010515 -0.006548 0.001437 0.004047 0.000416 10107 20010516 0.013037 0.027236 0.009954 0.028453 10107 20010517 -0.014318 0.005842 0.010523 0.002724 10107 20010518 -0.001171 0.002698 0.004567 0.002693 10107 20010521 0.010281 0.018555 0.015978 0.016154 10107 20010522 0.022096 -0.001672 0.007118 -0.002628 10107 20010523 -0.008676 -0.016684 -0.007040 -0.015526 10107 20010524 0.028981 0.004148 0.005509 0.003196 10107 20010525 -0.011294 -0.009918 0.002663 -0.011816 10107 20010529 -0.008038 -0.010351 -0.008268 -0.007794 10107 20010530 -0.016349 -0.017557 -0.016164 -0.015655 10107 20010531 -0.000145 0.007651 0.007395 0.006202 10107 20010601 0.016768 0.005394 0.006181 0.003862 10107 20010604 0.006255 0.005087 0.005380 0.005108 10107 20010605 0.025713 0.014231 0.011546 0.012990 10107 20010606 -0.003306 -0.009436 -0.003241 -0.010549 10107 20010607 0.018242 0.005334 0.005451 0.005457 10107 20010608 -0.006650 -0.009524 -0.002056 -0.009397 10107 20010611 -0.014619 -0.009593 -0.005670 -0.008356 10107 20010612 -0.000555 0.000192 -0.001292 0.001164 10107 20010613 -0.019284 -0.009956 -0.002346 -0.011347 10107 20010614 -0.025322 -0.019208 -0.014887 -0.017502 10107 20010615 -0.012772 -0.004894 -0.004950 -0.004517 10107 20010618 -0.016760 -0.006663 -0.012844 -0.004883 10107 20010619 0.006579 0.001777 -0.005603 0.003434 10107 20010620 0.031046 0.009780 0.001334 0.008709 10107 20010621 0.006195 0.009891 0.003729 0.011364 10107 20010622 -0.014462 -0.009011 -0.002499 -0.009450 10107 20010625 0.000291 -0.004862 -0.000223 -0.005509 10107 20010626 0.018736 -0.000158 0.004977 -0.001510 10107 20010627 0.014257 -0.002103 0.004318 -0.004676 10107 20010628 0.022491 0.012563 0.007562 0.012493 10107 20010629 0.003574 0.004373 0.018683 -0.001452 10107 20010702 -0.032877 0.005336 -0.005534 0.010037 10107 20010703 -0.001841 -0.001734 -0.000217 -0.001827 10107 20010705 -0.027813 -0.012101 -0.007388 -0.012321 10107 20010706 -0.035761 -0.022162 -0.011844 -0.023498 10107 20010709 -0.005601 0.005711 0.002084 0.006879 10107 20010710 -0.018420 -0.014255 -0.009420 -0.014398 10107 20010711 0.031327 -0.002275 -0.005388 -0.001134 10107 20010712 0.076692 0.023559 0.014742 0.023691 10107 20010713 -0.003631 0.005372 0.003936 0.006241 10107 20010716 -0.002243 -0.011631 -0.007309 -0.010883 10107 20010717 0.008991 0.010631 0.005250 0.009971 10107 20010718 -0.017405 -0.006842 -0.008032 -0.005542 10107 20010719 0.028341 0.005144 0.005491 0.006053 10107 20010720 -0.046714 -0.002914 0.000336 -0.003432 10107 20010723 -0.030211 -0.014655 -0.005580 -0.016369 10107 20010724 -0.011477 -0.016244 -0.011498 -0.016272 10107 20010725 0.017491 0.013676 0.002768 0.016080 10107 20010726 -0.013189 0.011494 0.007670 0.010449 10107 20010727 -0.016819 0.003289 0.003519 0.002402 10107 20010730 0.005041 -0.001182 -0.001138 -0.001078 10107 20010731 0.005927 0.004898 0.003221 0.005571 10107 20010801 0.004230 0.005020 0.006442 0.003880 10107 20010802 0.014743 0.003225 0.002534 0.003964 10107 20010803 -0.008302 -0.004621 0.000534 -0.005243 10107 20010806 -0.011362 -0.011011 -0.005900 -0.011422 10107 20010807 0.003327 0.002246 -0.000389 0.003265 10107 20010808 -0.022457 -0.016750 -0.010004 -0.017328 10107 20010809 0.002313 -0.000152 -0.001149 -0.000084 10107 20010810 0.007845 0.004273 0.000756 0.005687 10107 20010813 0.004731 0.002349 0.002532 0.000949 10107 20010814 -0.017317 -0.002451 0.001611 -0.003828 10107 20010815 -0.023033 -0.006810 -0.004716 -0.007339 10107 20010816 0.022468 0.001912 -0.002087 0.003090 10107 20010817 -0.042402 -0.015935 -0.006830 -0.016663 10107 20010820 0.013251 0.006827 -0.000437 0.008124 10107 20010821 -0.030622 -0.011470 -0.008022 -0.012079 10107 20010822 -0.001974 0.007416 0.004417 0.006956 10107 20010823 -0.025387 -0.002774 -0.003713 -0.002763 10107 20010824 0.049560 0.018237 0.010825 0.019654 10107 20010827 0.004190 -0.003690 -0.001755 -0.004827 10107 20010828 -0.025197 -0.014387 -0.007405 -0.015010 10107 20010829 -0.008067 -0.009608 -0.002918 -0.011115 10107 20010830 -0.054938 -0.015582 -0.009203 -0.017038 10107 20010831 0.001932 0.004079 0.005746 0.004030 10107 20010904 -0.016652 -0.001650 -0.005708 -0.000565 10107 20010905 0.029234 -0.003231 -0.008926 -0.001059 10107 20010906 -0.029789 -0.020706 -0.014187 -0.022390 10107 20010907 -0.011067 -0.017765 -0.011476 -0.018637 10107 20010910 0.039350 0.003517 -0.007368 0.006226 10107 20010917 -0.081105 -0.050731 -0.042397 -0.049216 10107 20010918 0.026649 -0.008294 -0.009884 -0.005805 10107 20010919 -0.008284 -0.017070 -0.024000 -0.016112 10107 20010920 -0.057732 -0.030640 -0.032695 -0.031060 10107 20010921 -0.020686 -0.018611 -0.020146 -0.019034 10107 20010924 0.046268 0.037779 0.033194 0.038983 10107 20010925 -0.013651 0.007590 0.003964 0.008790 10107 20010926 -0.020078 -0.006015 -0.009979 -0.005167 10107 20010927 -0.006167 0.010687 -0.000605 0.011489 10107 20010928 0.024219 0.022760 0.025098 0.021922 10107 20011001 0.012117 -0.004411 -0.010057 -0.002296 10107 20011002 0.024329 0.011556 0.007002 0.012306 10107 20011003 0.059943 0.022160 0.020665 0.019927 10107 20011004 0.003735 -0.000290 0.011085 -0.002471 10107 20011005 0.022679 0.000407 0.000515 0.001636 10107 20011008 0.005544 -0.007692 -0.001940 -0.008344 10107 20011009 -0.059959 -0.004817 -0.004086 -0.005356 10107 20011010 0.017412 0.023130 0.019419 0.022938 10107 20011011 0.014592 0.017327 0.019492 0.015208 10107 20011012 0.001065 -0.005378 0.000107 -0.005267 10107 20011015 0.029798 -0.000682 0.002547 -0.001530 10107 20011016 0.006717 0.007833 0.011373 0.006936 10107 20011017 -0.041403 -0.019378 -0.006450 -0.018633 10107 20011018 0.012850 -0.006965 -0.004979 -0.007873 10107 20011019 0.020264 0.004916 0.004694 0.004557 10107 20011022 0.039033 0.014495 0.008013 0.015296 10107 20011023 0.004488 -0.004338 0.000496 -0.004698 10107 20011024 0.014728 0.001013 0.003921 0.000387 10107 20011025 0.020222 0.013804 0.011118 0.013721 10107 20011026 -0.005754 0.004256 0.007219 0.004109 10107 20011029 -0.041158 -0.022667 -0.008933 -0.023818 10107 20011030 -0.012743 -0.017200 -0.011457 -0.017166 10107 20011031 -0.012398 0.002245 0.010749 -0.000009 10107 20011101 0.063457 0.020712 0.008796 0.022948 10107 20011102 -0.007115 0.002184 -0.000779 0.002860 10107 20011105 0.030456 0.013979 0.008455 0.014386 10107 20011106 0.023866 0.014135 0.007038 0.014526 10107 20011107 -0.008182 -0.001925 0.000713 -0.002735 10107 20011108 0.002646 0.001062 0.002989 0.002456 10107 20011109 0.012263 0.000951 0.003391 0.001582 10107 20011112 0.008894 -0.000562 0.001351 -0.001767 10107 20011113 0.032072 0.018547 0.013954 0.018563 10107 20011114 -0.028719 0.003492 0.007525 0.001861 10107 20011115 0.002578 0.000031 0.000388 0.000903 10107 20011116 -0.005596 -0.001704 0.006130 -0.003143 10107 20011119 0.012015 0.011679 0.011591 0.010899 10107 20011120 -0.017133 -0.008258 -0.004841 -0.007298 10107 20011121 -0.020642 -0.004486 0.000342 -0.004927 10107 20011123 0.010461 0.011709 0.010424 0.011706 10107 20011126 0.006489 0.007436 0.005665 0.006155 10107 20011127 -0.021492 -0.005073 0.001708 -0.006843 10107 20011128 -0.014747 -0.017355 -0.009929 -0.018251 10107 20011129 0.032484 0.011231 0.009191 0.010350 10107 20011130 -0.009716 -0.000939 0.001063 -0.000658 10107 20011203 0.008721 -0.008423 -0.007398 -0.008381 10107 20011204 0.018990 0.014754 0.011957 0.013187 10107 20011205 0.031818 0.023125 0.016936 0.022318 10107 20011206 0.008076 -0.001084 0.006299 -0.002777 10107 20011207 -0.011945 -0.007321 0.001813 -0.007531 10107 20011210 -0.011352 -0.015033 -0.007343 -0.015868 10107 20011211 0.003877 -0.001755 0.002873 -0.002781 10107 20011212 0.009358 0.000555 0.002107 0.000273 10107 20011213 -0.024724 -0.015389 -0.008347 -0.015558 10107 20011214 0.017655 0.003486 0.002313 0.003314 10107 20011217 0.022835 0.010396 0.005081 0.010035 10107 20011218 0.004204 0.008034 0.007093 0.007546 10107 20011219 0.003176 0.003669 -0.002734 0.005810 10107 20011220 -0.039286 -0.009355 -0.008643 -0.008377 10107 20011221 0.011684 0.006041 0.010187 0.004351 10107 20011224 -0.003998 0.000226 0.003546 -0.000210 10107 20011226 0.006095 0.005231 0.007184 0.004124 10107 20011227 0.002512 0.006930 0.008021 0.006752 10107 20011228 0.000295 0.004372 0.009310 0.003362 10107 20011231 -0.023869 -0.009724 0.006616 -0.011145 10107 20020102 0.011925 0.003837 0.007912 0.005740 10107 20020103 0.032667 0.009844 0.012917 0.009180 10107 20020104 -0.004767 0.006974 0.011262 0.006213 10107 20020107 -0.004935 -0.006529 -0.000112 -0.006499 10107 20020108 0.011960 -0.002448 0.004921 -0.003588 10107 20020109 -0.009657 -0.004247 0.000727 -0.004799 10107 20020110 0.008296 0.000584 0.000376 0.001221 10107 20020111 -0.009671 -0.008774 -0.003945 -0.009468 10107 20020114 -0.002041 -0.008128 -0.010397 -0.006276 10107 20020115 0.015773 0.005734 0.001003 0.006834 10107 20020116 -0.024155 -0.016278 -0.011005 -0.016245 10107 20020117 0.029321 0.010141 0.006986 0.010030 10107 20020118 -0.053822 -0.010133 -0.006146 -0.009922 10107 20020122 -0.024811 -0.007805 -0.008101 -0.007334 10107 20020123 -0.011170 0.008865 0.007762 0.007925 10107 20020124 0.013492 0.004033 0.005587 0.003519 10107 20020125 -0.012384 0.000944 0.000237 0.000998 10107 20020128 0.000313 0.000106 0.000445 -0.000194 10107 20020129 -0.023504 -0.025338 -0.011386 -0.028613 10107 20020130 0.008504 0.010234 0.003630 0.011748 10107 20020131 0.013683 0.013194 0.009543 0.014934 10107 20020201 -0.016481 -0.006417 -0.002154 -0.007078 10107 20020204 -0.024577 -0.023838 -0.016156 -0.024737 10107 20020205 0.000491 -0.004851 -0.007864 -0.004039 10107 20020206 -0.012265 -0.007193 -0.009993 -0.005972 10107 20020207 -0.009934 -0.003549 -0.005935 -0.003083 10107 20020208 0.014214 0.015800 0.011971 0.014859 10107 20020211 0.007914 0.013410 0.007842 0.014340 10107 20020212 -0.016195 -0.003410 -0.000153 -0.003993 10107 20020213 0.027935 0.009545 0.005813 0.009941 10107 20020214 -0.002265 -0.002465 -0.004788 -0.001815 10107 20020215 -0.023508 -0.010284 -0.003774 -0.011017 10107 20020219 -0.021584 -0.018874 -0.014655 -0.018874 10107 20020220 0.016460 0.012889 0.004968 0.013514 10107 20020221 -0.030885 -0.014502 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