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Help
Financial Toolkit : Fitting a GARCH(p,q) model
Input
Garch order p
0
1
2
3
4
5
6
7
8
9
10
Arch order q
0
1
2
3
4
5
6
7
8
9
10
Calculation mode
Absolute
ln(X_{t+1} / X_{t})
ln(X_{t} / X_{t+1})
(X_{t+1} - X{t}) / X_{t}
(X_{t} -X_{t+1})/ X_{t+1}
Data set
0.0065993789 -0.0042421905 0.0090369223 0.0026867963 0.0111011867 -0.00454316 -0.0292849899 0.0033955857 0.0081999219 0.0077459334 0.0042275173 -2.551346E-4 -0.0014035983 6.38896E-4 8.938833E-4 0.0031895892 -0.0039425156 -0.0120020429 0.0076247092 0.0024368347 -0.0058853634 -6.435006E-4 0.001159047 -0.0047594546 0.0023264831 3.868472E-4 -0.0163701985 0.0072074433 -0.0010408535 -7.814535E-4 0.0049530761 -0.0027237354 0.0058525166 0.0046547711 6.435006E-4 -3.858521E-4 0.0032166752 -1.282545E-4 -6.413545E-4 -0.0057758953 -9.036922E-4 0.0023258819 0.0052855485 3.84714E-4 0.0010255096 0.0019208605 0.0044734151 0.0022903677 -6.347594E-4 -0.0025406504 -0.0054763118 -0.0023050327 0.0130920293 -0.0043076143 0.0036900369 0.0063387424 0.0041572184 0.0106636558 -0.0037239325 -0.0043608273 0.0086347141 -0.0062034739 -9.987516E-4 -0.0063734066 7.546221E-4 0.0 0.0 -0.0041472917 0.0185512367 3.717012E-4 -0.0023532326 -2.48293E-4 0.0023593692 -0.0019821606 -0.0048411122 0.0014968193 3.736455E-4 -0.0039840637 0.0030 -9.97009E-4 -4.99002E-4 -0.0017473789 0.0042510628 -0.0036105578 0.002624016 0.0019940179 2.487562E-4 -7.460831E-4 -0.0014932802 -9.97009E-4 -0.0076097804 0.0022627278 0.0050169321 -9.983776E-4 0.0017489069 0.0038658187 -8.695652E-4 -7.459903E-4 -0.0031106134 -0.0019970045 -5.002501E-4 -0.0095095095 0.0034108135 -0.0031474254 0.0046728972 0.0040226273 8.764242E-4 0.002752064 -0.0031187625 -0.0080090101 2.523023E-4 0.0041619372 -0.0016327556 -0.0023902378 -0.0023959647 -0.0163064088 -3.85505E-4 -0.0110554056 -0.0053295203 0.001829587 -0.0187842421 -0.0059824515 -0.0018724087 -0.0084416455 0.0048648649 0.0073964497 0.0124148979 -0.009757384 0.0026631158 0.0014608234 -0.0022543429 -0.0010632642 -0.0145023949 5.400297E-4 0.0080960734 0.0049524829 0.0038625466 0.0147273451 -0.0086297071 -0.0038248483 0.0048987157 -0.0025032938 -0.005019152 0.0013274924 -5.30293E-4 -0.0017243666 -2.657454E-4 -0.0041201489 -0.0018684105 -0.0077550475 9.432691E-4 0.0043080237 0.009383378 -0.0022576361 0.0063889259 -0.0119031874 0.0050863338 0.0 -0.0054601145 0.0017407606 -0.0038764871 0.0052334944 -0.002536377 -0.0034796574 -0.0167875369 1.365934E-4 -9.560229E-4 0.0058783322 0.0035335689 0.0125947996 -2.67487E-4 0.0040133779 -0.0026648901 0.0042752171 -0.0102434482 0.0036290323 -0.0017409937 0.0029514355 -0.001070091 -0.0018746652 -0.0018781862 0.0 0.0016129032 0.0 0.0 6.709608E-4 -0.0030843503 0.0068603713 0.0033400134 -0.0034620506 0.0020042758 8.001067E-4 0.0082611592 0.0083256244 0.0157273919 0.0145806452 -0.003306626 0.0035727957 0.0012714558 -0.0019047619 0.0022900763 0.0022848439 0.0 -0.001899696 0.0057099353 0.0051728489 -0.0050207104 0.0081998234 -0.003003003 0.0047690763 0.0044966275 -0.0047251927 9.995002E-4 -0.0042436345 0.0067686137 0.0048555777 0.0087969273 -0.0077376566 0.0021042208 -0.003458498 0.0154933069 -0.0080556573 0.0065214716 0.0046454768 0.0021903139 0.0048567266 -0.0021749638 -0.0088399128 0.0047648137 -0.0037694553 0.0065909923 4.850249E-4 -4.847897E-4 -0.0023038681 -0.0098444336 0.0022094022 0.0015921617 -0.0037906579 -0.0027003805 0.0039384615 -0.0041681991 -0.0082481842 8.689176E-4 -0.0090537021 0.0065081352 -0.0026112907 6.233637E-4 -0.0088462497 8.799497E-4 0.0055262497 0.0117411941 -0.0103703704 -0.0058632735 -0.0086585519 6.329114E-4 0.0049335863 0.0 -1.258812E-4 -0.0044063956 -0.0126454224 0.0040983607 -0.0030612245 -0.0118986694 0.0116535025 -0.0020478689 0.0096190843 -0.0052083333 -0.0031924403 -0.0032026646 -0.0082251639 2.591681E-4 -0.0029796606 0.0029885655 0.0034978624 -0.0038729667 9.072058E-4 -3.884501E-4 0.0085492228 0.0053942975 -0.0068983137 0.0117056856 0.0119516847 -0.0057796206 0.0040439783 -0.004279421 -0.0054354696 0.0053380783 0.0026548673 -0.0040348002 0.0039245474 -0.0050441362 -0.0108998733 0.0012813942 3.839263E-4 -0.0046053473 -6.425909E-4 -1.286008E-4 -0.0029581994 -0.003998968 -0.0018132366 -7.78513E-4 -0.0014283859 -0.0052015605 -0.0074509804 -0.0022389043 0.0055438226 0.0 0.0047256498 -0.0158087275 -0.0030532324 0.0057256991 0.0 0.0034423408 0.0077846682 -0.005236973 -0.0035535667 -7.924977E-4 -0.0040978189 9.291213E-4 -0.0014586925 0.0033200531 1.323627E-4 0.0019851773 0.0029058249 -0.0013170025 -0.0014506132 0.0054146857 5.25417E-4 2.625706E-4 -0.0056437853 -0.0017159451 -0.0052889065 -0.0074438389 1.339226E-4 6.695233E-4 8.028904E-4 -0.0054820163 -0.0028233396 0.0029661588 -0.0065869068 -0.0041948579 -0.0103274901 0.002608815 -0.0094494659 -0.0060832296 0.0018083183 -0.0215217995 0.0022704697 -0.0059464817 0.0028485971 0.0127822752 -0.0200532885 7.155123E-4 0.005005005 0.0039840637 0.0034013605 -0.0134180791 0.0035790981 -0.0039942939 -0.0160412489 -0.0222707424 4.46628E-4 5.952381E-4 -0.0135336109 0.0378410975 7.263219E-4 0.0 0.0091450138 0.0220080552 0.0111189303 -0.0115534521 0.0035206309 -0.0165590794 0.0014269406 -0.0066970647 0.012336824 0.0018421426 0.012446959 0.0057278569 -0.0043061536 0.0022321429 -0.0059855234 -4.201092E-4 0.0067245727 -0.0052880601 -0.0146894236 0.0024137441 -0.0019830028 0.0024127164 9.910803E-4 -0.0056577086 -0.0011379801 0.0113927656 0.0107012109 4.179437E-4 0.0154574572 0.0024684586 0.0047879617 -0.003539823 -0.0202213417 -4.183517E-4 0.0029296875 -0.0015301155 9.75202E-4 -0.0129436326 -0.0063451777 0.0 -0.0041152263 -0.0076944999 0.0051694428 0.0012857143 -0.0028534741 -1.43082E-4 -0.0015741271 -0.0010032965 -0.0017216643 0.0035929865 -0.0091651153 -0.0053475936 -0.0056669573 -0.0048224463 0.0029368576 -0.0043923865 0.0047058824 0.0 -7.318501E-4 -0.0016112495 0.0013204225 -0.0133333333 0.0133650134 0.0043962485 0.0058360082 -8.70322E-4 -0.0013066202 0.0177351359 0.0014283674 0.0196833547 -0.007553504 0.0118393235 -7.521939E-4 -0.012398238 0.0024856521 -0.010540292 -0.0021046161 0.0 -0.0086886214 -0.0051872279 0.0024263878 0.0083881363 0.0095271337 0.0028311672 -0.0024713373 -0.0014094183 -0.0017589401 -0.0010543817 0.0060114824 -0.0010604994 -0.0024658015 0.0017638161 -0.0031658793 -0.003157461 -0.0030063805 -0.004317993 0.0045463749 -0.0038324911 0.0013962552 0.0013971744 0.0021007081 -0.0031416005 -0.0033391588 9.05499E-4 3.475119E-4 -0.0010436091 -0.003121165 -0.0013852811 0.0045224832 0.0010446993 -0.0038155611 0.0041803381 0.0010461152 -0.0020886104 0.0091332728 -0.00245269 -0.0020976895 -0.0033461986 -0.0010445348 -0.0013903392 -0.0029111202 0.0010414849 -0.0020779206 0.0041717146 -0.0010411124 0.0 0.0010421975 -0.0015961807 0.001947285 -0.0010421878 0.0020894281 0.0056018346 0.0056334609 -0.0069920835 -0.0034849085 -0.0171224227 0.0020585985 0.0188812574 -0.006945507 -3.470402E-4 -0.0073724833 0.0 -0.0012393246 0.0 -3.443611E-4 -5.494234E-4 2.065106E-4 -0.0037687675 0.0027482391 -0.005466859 0.0027411374 0.0048192701 0.0044954885 0.0 0.010482053 -0.0062506082 -0.0029764819 -0.0022112231 -0.0041282717 1.380826E-4 0.0019299829 -0.0020640628 6.889595E-4 0.0010632302 0.0065612304 -6.933613E-4 5.553624E-4 -9.01062E-4 0.0017344852 -0.0034586425 -0.0055044652 5.508769E-4 -0.0039760421 -0.0064713638 -0.0127774703 0.0010096729 -0.0010086545 -0.0056833136 0.0 -3.349918E-4 -0.0012012884 -0.009064684 0.0026541958 -0.003634582 -0.0064362974 -7.872877E-4 0.0016428719 -0.0055549977 0.005586028 -0.0087942719 -0.0025987542 -0.0012989152 -0.0067665338 0.008449463 -0.0156757705 -0.0060409975 -0.0094491532 0.0137302932 -0.0101147877 -0.005030762 0.0 0.0031545591 0.0057107534 0.0019069593 0.0 -0.006944794 0.0018976324 -6.324001E-4 -0.005079804 -9.540467E-4 0.017985039 -0.006097561 -0.0080226522 1.585791E-4 -3.17108E-4 -6.344171E-4 -3.174099E-4 -2.80997E-4 8.194079E-4 0.0032876417 6.326001E-4 -0.0012628198 0.0028516629 0.0083065863 -0.0025493835 0.0264956876 9.828258E-4 0.0095865038 -0.0024396626 -0.0038117245 -0.0042524694 -0.0033902139 0.0110088985 0.0036377648 -0.0023095735 0.0133774501 -0.0086201741 -0.0029752839 -0.0083913503 0.0087964015 -0.0088497315 9.839472E-4 -6.5532E-4 0.0 -0.0049592978 -0.0071817633 -1.543686E-4 -0.0018527096 0.0044856922 0.0 -4.619649E-4 0.0033893083 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