6. Heteroskedasticity Test: ARCH
F-statistic 0.049563 Prob. F(1,1333) 0.8239
Obs*R-squared 0.049635 Prob. Chi-Square(1) 0.8237
Test Equation:
Dependent Variable: WGT_RESID^2
Method: Least Squares
Date: 05/28/13 Time: 01:06
Sample (adjusted): 1/06/2000 6/24/2005
Included observations: 1335 after adjustments
Variable Coefficient Std. Error t-Statistic Prob.
C 1.016763 0.075486 13.46954 0.0000
WGT_RESID^2(-1) 0.006098 0.027390 0.222627 0.8239
R-squared 0.000037 Mean dependent var 1.023004
Adjusted R-squared -0.000713 S.D. dependent var 2.559900
S.E. of regression 2.560813 Akaike info criterion 4.720023
Sum squared resid 8741.496 Schwarz criterion 4.727809
Log likelihood -3148.616 Hannan-Quinn criter. 4.722941
F-statistic 0.049563 Durbin-Watson stat 2.000013
Prob(F-statistic) 0.823860
H0 : varians adalah homogenous
H1 : varian adalah heterosdastisiti.
Jadual di atas menunjukkan nilai-p chi square adalah lebih besar dari 0.05,oleh itu gagal menolak H null,
ini menunjukkan tidak wujud heterosdastisiti dalam model.
7. MODEL 2
GARCH(1,1), AR(2),
Dependent Variable: RKLCI
Method: ML - ARCH (Marquardt) - Student's t distribution
Date: 05/28/13 Time: 01:06
Sample (adjusted): 1/06/2000 6/24/2005
Included observations: 1335 after adjustments
Convergence achieved after 18 iterations
Presample variance: backcast (parameter = 0.7)
GARCH = C(4) + C(5)*RESID(-1)^2 + C(6)*GARCH(-1)
Variable Coefficient Std. Error z-Statistic Prob.
GARCH 8.307812 4.805453 1.728830 0.0838
C -0.000594 0.000406 -1.462378 0.1436
AR(2) 0.047582 0.028183 1.688309 0.0914
Variance Equation
C 9.90E-06 2.54E-06 3.896075 0.0001
RESID(-1)^2 0.198226 0.038539 5.143464 0.0000
GARCH(-1) 0.703692 0.048270 14.57825 0.0000
T-DIST. DOF 5.449148 0.711329 7.660515 0.0000
R-squared -0.001005 Mean dependent var 7.20E-05
Adjusted R-squared -0.002508 S.D. dependent var 0.009905
S.E. of regression 0.009917 Akaike info criterion -6.652891
Sum squared resid 0.131007 Schwarz criterion -6.625642
Log likelihood 4447.805 Hannan-Quinn criter. -6.642681
Durbin-Watson stat 1.611947
Inverted AR Roots .22 -.22
10. Heteroskedasticity Test: ARCH
F-statistic 0.114795 Prob. F(1,1332) 0.7348
Obs*R-squared 0.114958 Prob. Chi-Square(1) 0.7346
Test Equation:
Dependent Variable: WGT_RESID^2
Method: Least Squares
Date: 05/28/13 Time: 01:09
Sample (adjusted): 1/11/2000 6/24/2005
Included observations: 1334 after adjustments
Variable Coefficient Std. Error t-Statistic Prob.
C 1.012694 0.077069 13.14016 0.0000
WGT_RESID^2(-1) 0.009283 0.027397 0.338814 0.7348
R-squared 0.000086 Mean dependent var 1.022179
Adjusted R-squared -0.000665 S.D. dependent var 2.621713
S.E. of regression 2.622584 Akaike info criterion 4.767695
Sum squared resid 9161.422 Schwarz criterion 4.775485
Log likelihood -3178.053 Hannan-Quinn criter. 4.770614
F-statistic 0.114795 Durbin-Watson stat 1.999556
Prob(F-statistic) 0.734803
H0 : varians adalah homogenous
H1 : varian adalah heterosdastisiti.
Jadual di atas menunjukkan nilai-p chi square adalah lebih besar dari 0.05,oleh itu gagal menolak H null,
ini menunjukkan tidak wujud heterosdastisiti dalam model.
11. Model 3 egarach (1,1)
Dependent Variable: RKLCI
Method: ML - ARCH (Marquardt) - Normal distribution
Date: 05/29/13 Time: 23:14
Sample (adjusted): 1/05/2000 6/24/2005
Included observations: 1336 after adjustments
Convergence achieved after 61 iterations
Presample variance: backcast (parameter = 0.7)
LOG(GARCH) = C(4) + C(5)*ABS(RESID(-1)/@SQRT(GARCH(-1))) + C(6)
*RESID(-1)/@SQRT(GARCH(-1)) + C(7)*LOG(GARCH(-1))
Variable Coefficient Std. Error z-Statistic Prob.
GARCH 5.786282 6.387819 0.905831 0.3650
C -0.000363 0.000511 -0.709683 0.4779
AR(1) 0.204524 0.027271 7.499597 0.0000
Variance Equation
C(4) -0.504055 0.073644 -6.844449 0.0000
C(5) 0.174643 0.018649 9.364513 0.0000
C(6) -0.074039 0.012047 -6.146006 0.0000
C(7) 0.960896 0.007491 128.2706 0.0000
R-squared 0.037028 Mean dependent var 5.65E-05
Adjusted R-squared 0.035584 S.D. dependent var 0.009917
S.E. of regression 0.009739 Akaike info criterion -6.614900
Sum squared resid 0.126441 Schwarz criterion -6.587668
Log likelihood 4425.753 Hannan-Quinn criter. -6.604696
Durbin-Watson stat 2.023557
Inverted AR Roots .20
14. Heteroskedasticity Test: ARCH
F-statistic 4.657425 Prob. F(1,1333) 0.0311
Obs*R-squared 4.648172 Prob. Chi-Square(1) 0.0311
Test Equation:
Dependent Variable: WGT_RESID^2
Method: Least Squares
Date: 05/30/13 Time: 00:30
Sample (adjusted): 1/06/2000 6/24/2005
Included observations: 1335 after adjustments
Variable Coefficient Std. Error t-Statistic Prob.
C 0.933735 0.062752 14.87988 0.0000
WGT_RESID^2(-1) 0.059007 0.027342 2.158107 0.0311
R-squared 0.003482 Mean dependent var 0.992317
Adjusted R-squared 0.002734 S.D. dependent var 2.070005
S.E. of regression 2.067173 Akaike info criterion 4.291738
Sum squared resid 5696.184 Schwarz criterion 4.299524
Log likelihood -2862.735 Hannan-Quinn criter. 4.294656
F-statistic 4.657425 Durbin-Watson stat 2.006772
Prob(F-statistic) 0.031098
H0 : varians adalah homogenous
H1 : varian adalah heterosdastisiti.
Jadual di atas menunjukkan nilai-p chi square adalah lebih kecil dari 0.05,oleh itu menolak H null, ini
menunjukkan wujud heterosdastisiti dalam model.
15. Model 4 EGARCH(1,1)
Dependent Variable: RKLCI
Method: ML - ARCH (Marquardt) - Student's t distribution
Date: 05/30/13 Time: 00:53
Sample (adjusted): 1/05/2000 6/24/2005
Included observations: 1336 after adjustments
Convergence achieved after 19 iterations
Presample variance: backcast (parameter = 0.7)
LOG(GARCH) = C(4) + C(5)*ABS(RESID(-1)/@SQRT(GARCH(-1))) + C(6)
*RESID(-1)/@SQRT(GARCH(-1)) + C(7)*LOG(GARCH(-1))
Variable Coefficient Std. Error z-Statistic Prob.
GARCH 6.095233 5.466759 1.114963 0.2649
C -0.000525 0.000442 -1.187902 0.2349
AR(1) 0.166727 0.027819 5.993372 0.0000
Variance Equation
C(4) -0.926758 0.207993 -4.455728 0.0000
C(5) 0.277872 0.045509 6.105849 0.0000
C(6) -0.070588 0.025550 -2.762772 0.0057
C(7) 0.924446 0.020246 45.66077 0.0000
T-DIST. DOF 5.891519 0.869331 6.777073 0.0000
R-squared 0.035912 Mean dependent var 5.65E-05
Adjusted R-squared 0.034466 S.D. dependent var 0.009917
S.E. of regression 0.009745 Akaike info criterion -6.679959
Sum squared resid 0.126588 Schwarz criterion -6.648837
Log likelihood 4470.213 Hannan-Quinn criter. -6.668298
Durbin-Watson stat 1.939539
Inverted AR Roots .17
18. Heteroskedasticity Test: ARCH
F-statistic 0.562067 Prob. F(1,1333) 0.4536
Obs*R-squared 0.562673 Prob. Chi-Square(1) 0.4532
Test Equation:
Dependent Variable: WGT_RESID^2
Method: Least Squares
Date: 05/30/13 Time: 01:02
Sample (adjusted): 1/06/2000 6/24/2005
Included observations: 1335 after adjustments
Variable Coefficient Std. Error t-Statistic Prob.
C 0.987383 0.067415 14.64644 0.0000
WGT_RESID^2(-1) 0.020530 0.027384 0.749711 0.4536
R-squared 0.000421 Mean dependent var 1.008090
Adjusted R-squared -0.000328 S.D. dependent var 2.246574
S.E. of regression 2.246943 Akaike info criterion 4.458515
Sum squared resid 6729.987 Schwarz criterion 4.466301
Log likelihood -2974.059 Hannan-Quinn criter. 4.461432
F-statistic 0.562067 Durbin-Watson stat 2.001382
Prob(F-statistic) 0.453561
H0 : varians adalah homogenous
H1 : varian adalah heterosdastisiti.
Jadual di atas menunjukkan nilai-p chi square adalah lebih besar dari 0.05,oleh itu gagal menolak H null,
ini menunjukkan tidak wujud heterosdastisiti dalam model.
19. Model 5 GARCH(1,1) LOG-VAR
Dependent Variable: RKLCI
Method: ML - ARCH (Marquardt) - Student's t distribution
Date: 05/30/13 Time: 01:54
Sample (adjusted): 1/05/2000 6/24/2005
Included observations: 1336 after adjustments
Convergence achieved after 23 iterations
Presample variance: backcast (parameter = 0.7)
GARCH = C(4) + C(5)*RESID(-1)^2 + C(6)*GARCH(-1)
Variable Coefficient Std. Error z-Statistic Prob.
LOG(GARCH) 0.001104 0.000558 1.978373 0.0479
C 0.010779 0.005434 1.983393 0.0473
AR(1) 0.155840 0.028965 5.380234 0.0000
Variance Equation
C 8.92E-06 2.32E-06 3.848522 0.0001
RESID(-1)^2 0.191628 0.037558 5.102223 0.0000
GARCH(-1) 0.717005 0.045888 15.62498 0.0000
T-DIST. DOF 5.796714 0.774819 7.481376 0.0000
R-squared 0.032428 Mean dependent var 5.65E-05
Adjusted R-squared 0.030976 S.D. dependent var 0.009917
S.E. of regression 0.009763 Akaike info criterion -6.672274
Sum squared resid 0.127045 Schwarz criterion -6.645042
Log likelihood 4464.079 Hannan-Quinn criter. -6.662071
Durbin-Watson stat 1.929307
Inverted AR Roots .16
22. Heteroskedasticity Test: ARCH
F-statistic 0.001608 Prob. F(1,1333) 0.9680
Obs*R-squared 0.001610 Prob. Chi-Square(1) 0.9680
Test Equation:
Dependent Variable: WGT_RESID^2
Method: Least Squares
Date: 05/30/13 Time: 02:02
Sample (adjusted): 1/06/2000 6/24/2005
Included observations: 1335 after adjustments
Variable Coefficient Std. Error t-Statistic Prob.
C 1.047624 0.077247 13.56206 0.0000
WGT_RESID^2(-1) -0.001098 0.027391 -0.040097 0.9680
R-squared 0.000001 Mean dependent var 1.046474
Adjusted R-squared -0.000749 S.D. dependent var 2.619654
S.E. of regression 2.620635 Akaike info criterion 4.766207
Sum squared resid 9154.678 Schwarz criterion 4.773992
Log likelihood -3179.443 Hannan-Quinn criter. 4.769124
F-statistic 0.001608 Durbin-Watson stat 1.999780
Prob(F-statistic) 0.968022
H0 : varians adalah homogenous
H1 : varian adalah heterosdastisiti.
Jadual di atas menunjukkan nilai-p chi square adalah lebih besar dari 0.05,oleh itu gagal menolak H null,
ini menunjukkan tidak wujud heterosdastisiti dalam model.