Unrestricted Cointegration Rank Test (Trace) | ||||
Hypothesized | Trace | 0,05 | ||
No. of CE(s) | Eigenvalue | Statistic | Critical Value | Prob.** |
None * | 0,3 | 134,6 | 69,8 | 0,0 |
At most 1 * | 0,2 | 75,4 | 47,9 | 0,0 |
At most 2 * | 0,1 | 32,9 | 29,8 | 0,0 |
At most 3 * | 0,1 | 17,4 | 15,5 | 0,0 |
At most 4 * | 0,0 | 4,9 | 3,8 | 0,0 |
Trace test indicates 5 cointegrating eqn(s) at the 0.05 level | ||||
* denotes rejection of the hypothesis at the 0.05 level | ||||
**MacKinnon-Haug-Michelis (1999) p-values | ||||
Unrestricted Cointegration Rank Test (Maximum Eigenvalue) | ||||
Hypothesized | Max-Eigen | 0,05 | ||
No. of CE(s) | Eigenvalue | Statistic | Critical Value | Prob.** |
None * | 0,3 | 59,1 | 33,9 | 0,0 |
At most 1 * | 0,2 | 42,6 | 27,6 | 0,0 |
At most 2 | 0,1 | 15,4 | 21,1 | 0,3 |
At most 3 | 0,1 | 12,5 | 14,3 | 0,1 |
At most 4 * | 0,0 | 4,9 | 3,8 | 0,0 |
Max-eigenvalue test indicates 2 cointegrating eqn(s) at the 0.05 level | ||||
* denotes rejection of the hypothesis at the 0.05 level | ||||
**MacKinnon-Haug-Michelis (1999) p-values |
Таблица 5. Результаты оценки сокращенной VAR модели
Sample (adjusted): 2000M02 2008M06 |
Included observations: 101 after adjustments |
Standard errors in ( ) & t-statistics in [ ] |
VIX | FX_INT_M2 | LG_RUB | LG_M0 | MIACR | |
VIX(-1) | 0,78 | 0,00 | 0,00 | 0,00 | 0,02 |
-0,07 | 0,00 | 0,00 | 0,00 | -0,06 | |
[ 10,3] | [-1,2] | [ 0,3] | [-1,0] | [ 0,3] | |
FX_INT_M2(-1) | -22,31 | 0,30 | -0,11 | 0,40 | -24,99 |
-13,36 | -0,11 | -0,03 | -0,13 | -10,96 | |
[-1,7] | [ 2,8] | [-3,5] | [ 2,9] | [-2,3] | |
LG_RUB(-1) | 26,57 | 0,02 | 0,92 | 0,14 | 1,41 |
-14,03 | -0,11 | -0,03 | -0,14 | -11,51 | |
[ 1,9] | [ 0,2] | [ 26,9] | [ 1,0] | [ 0,1] | |
LG_M0(-1) | 4,42 | -0,13 | 0,00 | 0,78 | -7,58 |
-6,97 | -0,06 | -0,02 | -0,07 | -5,72 | |
[ 0,6] | [-2,3] | [-0,2] | [ 11,1] | [-1,3] | |
MIACR(-1) | -0,11 | 0,00 | 0,00 | 0,00 | 0,34 |
-0,13 | 0,00 | 0,00 | 0,00 | -0,11 | |
[-0,9] | [-0,7] | [ 1,2] | [-0,7] | [ 3,1] | |
C | -21,44 | -1,71 | 0,41 | -3,42 | -158,33 |
-114,11 | -0,91 | -0,28 | -1,15 | -93,63 | |
[-0,2] | [-1,9] | [ 1,5] | [-2,9] | [-1,7] | |
LG_BRENT | -0,31 | -0,01 | 0,01 | -0,05 | -2,32 |
-4,15 | -0,03 | -0,01 | -0,04 | -3,40 | |
[-0,1] | [-0,21] | [ 0,9] | [-1,2] | [-0,7] | |
LG_CPI | 9,72 | -0,17 | -0,08 | -1,11 | 9,94 |
-94,38 | -0,75 | -0,23 | -0,95 | -77,44 | |
[ 0,1] | [-0,2] | [-0,4] | [-1,2] | [ 0,1] | |
LG_PROD | 74,46 | 0,99 | 0,04 | 0,79 | 32,75 |
-142,51 | -1,14 | -0,35 | -1,43 | -116,94 | |
[ 0,5] | [ 0,9] | [ 0,1] | [ 0,6] | [ 0,3] | |
LG_BRENT(-1) | 3,36 | -0,01 | 0,00 | 0,00 | -3,13 |
-4,20 | -0,03 | -0,01 | -0,04 | -3,44 | |
[ 0,8] | [-0,2] | [-0,34] | [ 0,1] | [-0,9] | |
LG_CPI(-1) | -25,78 | 0,15 | 0,13 | 1,09 | -23,01 |
-94,53 | -0,75 | -0,23 | -0,95 | -77,57 | |
[-0,3] | [ 0,2] | [ 0,5] | [ 1,1] | [-0,3] | |
LG_PROD(-1) | -78,60 | -0,43 | -0,11 | 0,20 | 29,55 |
-140,48 | -1,12 | -0,34 | -1,41 | -115,27 | |
[-0,6] | [-0,4] | [-0,3] | [ 0,1] | [ 0,3] | |
R-squared | 0,77 | 0,23 | 0,96 | 1,00 | 0,52 |
Adj. R-squared | 0,74 | 0,14 | 0,95 | 1,00 | 0,46 |
Sum sq. resids | 950,74 | 0,06 | 0,01 | 0,10 | 640,10 |
S. E. equation | 3,27 | 0,03 | 0,01 | 0,03 | 2,68 |
F-statistic | 27,39 | 2,45 | 178,30 | 4228,96 | 8,83 |
Log likelihood | -256,54 | 231,40 | 351,41 | 207,95 | -236,56 |
Akaike AIC | 5,32 | -4,34 | -6,72 | -3,88 | 4,92 |
Schwarz SC | 5,63 | -4,03 | -6,41 | -3,57 | 5,23 |
Mean dependent | 19,63 | 0,03 | 3,39 | 7,46 | 5,23 |
S. D. dependent | 6,46 | 0,03 | 0,04 | 0,71 | 3,66 |
Determinant resid covariance (dof adj.) | 1,68E-09 | ||||
Determinant resid covariance | 8,95E-10 | ||||
Log likelihood | 3,36E+02 | ||||
Akaike information criterion | -5,46E+00 | ||||
Schwarz criterion | -3,90E+00 |
Таблица 6. Оценка коэффициентов SVAR модели (5-9)
Structural VAR Estimates | ||||
Date: 05/17/13 Time: 15:57 | ||||
Sample (adjusted): 2000M02 2008M06 | ||||
Included observations: 101 after adjustments | ||||
Estimation method: method of scoring (analytic derivatives) | ||||
Convergence achieved after 23 iterations | ||||
Structural VAR is over-identified (2 degrees of freedom) | ||||
Model: Ae = Bu where E[uu']=I | ||||
Restriction Type: short-run text form | ||||
C(1)*@e1= @u1 | ||||
C(2)*@e2+C(3)*@e3 = @u2 | ||||
C(4)*@e3+C(5)*@e4 +C(6)*@e5= @u3 | ||||
C(7)*@e2+C(8)*@u3+C(10)*@e4+C(11)*@e5 = @u4 | ||||
C(12)*@e1 +C(13)*@e3 +C(15)*@e5 = @u5 | ||||
where | ||||
@e1 represents VIX residuals | ||||
@e2 represents FX_INT_M2 residuals | ||||
@e3 represents LG_RUB residuals | ||||
@e4 represents LG_M0 residuals | ||||
@e5 represents MIACR residuals | ||||
Coefficient | Std. Error | z-Statistic | Prob. | |
C(1) | 0,31 | 0,02 | 14,21 | 0,00 |
C(2) | 39,22 | 4,23 | 9,26 | 0,00 |
C(3) | 72,10 | 36,24 | 1,99 | 0,05 |
C(4) | -57,17 | 23,23 | -2,46 | 0,01 |
C(5) | 22,22 | 7,84 | 2,83 | 0,00 |
C(6) | 0,29 | 0,15 | 1,92 | 0,05 |
C(7) | -27,96 | 6,28 | -4,46 | 0,00 |
C(10) | 56,64 | 18,49 | 3,06 | 0,00 |
C(11) | 0,18 | 0,14 | 1,25 | 0,21 |
C(12) | -0,05 | 0,03 | -1,63 | 0,10 |
C(13) | 75,22 | 66,93 | 1,12 | 0,26 |
C(15) | 0,25 | 0,19 | 1,33 | 0,18 |
C(8) | -1,21 | 0,69 | -1,75 | 0,08 |
Таблица 7. Результаты оценки зависимости курса рубля от валютных интервенций
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