ANNEXES
Annexe n°1 : test de cointégration de
JOHANSEN(1988)
Date: 09/03/10 Time: 22:41 
Sample (adjusted): 1992 2009 
Included observations: 18 after adjustments Trend assumption: No
deterministic trend Series: FB SB DP TX 
Lags interval (in first differences): 1 to 1 
Unrestricted Cointegration Rank Test (Trace) 
| 
 Hypothesize 
 | 
   | 
   | 
   | 
   | 
 
| 
 d 
 | 
   | 
 Trace 
 | 
 0.05 
 | 
   | 
 
   | 
   | 
   | 
 Critical 
 | 
   | 
 
| 
 No. of CE(s) 
 | 
 Eigenvalue 
 | 
 Statistic 
 | 
 Value 
 | 
 Prob.** 
 | 
 
| 
 None * 
 | 
 0.922784 
 | 
 65.67152 
 | 
 40.17493 
 | 
 0.0000 
 | 
 
| 
 At most 1 
 | 
 0.626798 
 | 
 19.57094 
 | 
 24.27596 
 | 
 0.1750 
 | 
 
| 
 At most 2 
 | 
 0.091776 
 | 
 1.829500 
 | 
 12.32090 
 | 
 0.9626 
 | 
 
| 
 At most 3 
 | 
 0.005360 
 | 
 0.096739 
 | 
 4.129906 
 | 
 0.7982 
 | 
 
  
Trace test indicates 1 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) 
| 
 Hypothesize 
 | 
   | 
   | 
   | 
   | 
 
| 
 d 
 | 
   | 
 Max-Eigen 
 | 
 0.05 
 | 
   | 
 
   | 
   | 
   | 
 Critical 
 | 
   | 
 
| 
 No. of CE(s) 
 | 
 Eigenvalue 
 | 
 Statistic 
 | 
 Value 
 | 
 Prob.** 
 | 
 
| 
 None * 
 | 
 0.922784 
 | 
 46.10058 
 | 
 24.15921 
 | 
 0.0000 
 | 
 
| 
 At most 1 
 | 
 0.626798 
 | 
 17.74144 
 | 
 17.79730 
 | 
 0.0510 
 | 
 
  
  
42 
  
At most 2 
   | 
 0.091776 
 | 
 1.732761 
 | 
 11.22480 
 | 
 0.9494 
 | 
 
| 
 At most 3 
 | 
 0.005360 
 | 
 0.096739 
 | 
 4.129906 
 | 
 0.7982 
 | 
 
  
Max-eigenvalue test indicates 1 cointegrating eqn(s) at the 0.05
level 
* denotes rejection of the hypothesis at the 0.05 le vel 
**MacKinnon-Haug-Michelis (1999) p-values 
Unrestricted Cointegrating Coefficients (normalized by
b'*S11*b=I): 
FB SB DP TX 
| 
 9.693722 
 | 
 -14.78946 
 | 
 -53.03924 
 | 
 4.052142 
 | 
 
| 
 -3.650010 
 | 
 -57.43034 
 | 
 88.45739 
 | 
 -1.717321 
 | 
 
| 
 -0.222474 
 | 
 -23.03022 
 | 
 -19.75104 
 | 
 6.637092 
 | 
 
| 
 0.916212 
 | 
 11.29542 
 | 
 25.34378 
 | 
 -3.213381 
 | 
 
  
Unrestricted Adjustment Coefficients (alpha): 
   | 
   | 
   | 
   | 
 - 
0.00318 
 | 
 
| 
 D(FB) 
 | 
 -0.066472 
 | 
 -0.024179 
 | 
 0.005077 
 | 
 5 
 | 
 
   | 
   | 
   | 
   | 
 0.00039 
 | 
 
| 
 D(SB) 
 | 
 -0.005379 
 | 
 0.020065 
 | 
 0.000530 
 | 
 6 
 | 
 
   | 
   | 
   | 
   | 
 0.00046 
 | 
 
| 
 D(DP) 
 | 
 -0.003629 
 | 
 -0.001428 
 | 
 -0.000205 
 | 
 3 
 | 
 
   | 
   | 
   | 
   | 
 0.00138 
 | 
 
| 
 D(TX) 
 | 
 -0.024760 
 | 
 0.009240 
 | 
 -0.032084 
 | 
 0 
 | 
 
| 
 1 
 | 
 Cointegrating Log 
 | 
   | 
   | 
 
| 
 Equation(s): 
 | 
   | 
 likelihood 
 | 
 158.9035 
 | 
   | 
 
| 
 Normalized parentheses) 
 | 
 cointegrating 
 | 
 coefficients 
 | 
 (standard 
 | 
 error in 
 | 
 
| 
 FB 
 | 
 SB 
 | 
 DP 
 | 
 TX 
 | 
   | 
 
  
1.000000 -1.525674 -5.471504 0.418017 
   | 
 (0.53080) 
 | 
 (0.62014) 
 | 
 (0.06309) 
 | 
   | 
 
| 
 Adjustment parentheses) 
 | 
 coefficients 
 | 
 (standard 
 | 
 error 
 | 
 in 
 | 
 
| 
 D(FB) 
 | 
 -0.644358 
 | 
   | 
   | 
   | 
 
   | 
 (0.15852) 
 | 
   | 
   | 
   | 
 
| 
 D(SB) 
 | 
 -0.052144 
 | 
   | 
   | 
   | 
 
   | 
 (0.06996) 
 | 
   | 
   | 
   | 
 
| 
 D(DP) 
 | 
 -0.035175 
 | 
   | 
   | 
   | 
 
   | 
 (0.01800) 
 | 
   | 
   | 
   | 
 
| 
 D(TX) 
 | 
 -0.240020 
 | 
   | 
   | 
   | 
 
   | 
 (0.29154) 
 | 
   | 
   | 
   | 
 
| 
 2 Equation(s): 
 | 
 Cointegrating Log 
likelihood 
 | 
 167.7742 
 | 
   | 
   | 
 
| 
 Normalized parentheses) 
 | 
 cointegrating 
 | 
 coefficients 
 | 
 (standard 
 | 
 error 
 | 
 in 
 | 
 
| 
 FB 
 | 
 SB 
 | 
 DP 
 | 
 TX 
 | 
   | 
   | 
 
| 
 1.000000 
 | 
 0.000000 
 | 
 -7.130066 
 | 
 0.422656 
 | 
   | 
   | 
 
   | 
   | 
 (0.54218) 
 | 
 (0.06479) 
 | 
   | 
   | 
 
| 
 0.000000 
 | 
 1.000000 
 | 
 -1.087101 
 | 
 0.003041 
 | 
   | 
   | 
 
   | 
   | 
 (0.20321) 
 | 
 (0.02428) 
 | 
   | 
   | 
 
| 
 Adjustment parentheses) 
 | 
 coefficients 
 | 
 (standard 
 | 
 error 
 | 
 in 
 | 
   | 
 
| 
 D(FB) 
 | 
 -0.556105 
 | 
 2.371676 
 | 
   | 
   | 
   | 
 
   | 
 (0.15448) 
 | 
 (0.88448) 
 | 
   | 
   | 
   | 
 
| 
 D(SB) 
 | 
 -0.125380 
 | 
 -1.072761 
 | 
   | 
   | 
   | 
 
   | 
 (0.04759) 
 | 
 (0.27248) 
 | 
   | 
   | 
   | 
 
| 
 D(DP) 
 | 
 -0.029964 
 | 
 0.135657 
 | 
   | 
   | 
   | 
 
   | 
 (0.01879) 
 | 
 (0.10758) 
 | 
   | 
   | 
   | 
 
| 
 D(TX) 
 | 
 -0.273747 
 | 
 -0.164471 
 | 
   | 
   | 
   | 
 
   | 
 (0.31039) 
 | 
 (1.77711) 
 | 
   | 
   | 
   | 
 
  
  
44 
3 Equation(s): 
   | 
 Cointegrating Log 
likelihood 
 | 
 168.6406 
 | 
   | 
   | 
 
| 
 Normalized parentheses) 
 | 
 cointegrating 
 | 
 coefficients 
 | 
 (standard 
 | 
 error 
 | 
 in 
 | 
 
| 
 FB 
 | 
 SB 
 | 
 DP 
 | 
 TX 
 | 
   | 
   | 
 
| 
 1.000000 
 | 
 0.000000 
 | 
 0.000000 
 | 
 -0.623042 
 | 
   | 
   | 
 
   | 
   | 
   | 
 (0.27414) 
 | 
   | 
   | 
 
| 
 0.000000 
 | 
 1.000000 
 | 
 0.000000 
 | 
 -0.156394 
 | 
   | 
   | 
 
   | 
   | 
   | 
 (0.04177) 
 | 
   | 
   | 
 
| 
 0.000000 
 | 
 0.000000 
 | 
 1.000000 
 | 
 -0.146660 
 | 
   | 
   | 
 
   | 
   | 
   | 
 (0.03847) 
 | 
   | 
   | 
 
| 
 Adjustment parentheses) 
 | 
 coefficients 
 | 
 (standard 
 | 
 error 
 | 
 in 
 | 
   | 
 
| 
 D(FB) 
 | 
 -0.557234 
 | 
 2.254742 
 | 
 1.286527 
 | 
   | 
   | 
 
   | 
 (0.15383) 
 | 
 (0.94460) 
 | 
 (1.55922) 
 | 
   | 
   | 
 
| 
 D(SB) 
 | 
 -0.125498 
 | 
 -1.084969 
 | 
 2.049696 
 | 
   | 
   | 
 
   | 
 (0.04758) 
 | 
 (0.29216) 
 | 
 (0.48226) 
 | 
   | 
   | 
 
| 
 D(DP) 
 | 
 -0.029918 
 | 
 0.140376 
 | 
 0.070216 
 | 
   | 
   | 
 
   | 
 (0.01879) 
 | 
 (0.11535) 
 | 
 (0.19041) 
 | 
   | 
   | 
 
| 
 D(TX) 
 | 
 -0.266609 
 | 
 0.574421 
 | 
 2.764311 
 | 
   | 
   | 
 
   | 
 (0.29646) 
 | 
 (1.82042) 
 | 
 (3.00493) 
 | 
   | 
   | 
 
  
  
  
46 
 |