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Cuivre, dette et pauvreté en RDC:"une analyse par la modélisation var"

( Télécharger le fichier original )
par James WABENGA YANGO
Université de Kinshasa RDC - Licence en économie mathématiques 2009
  

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ANNEXES

GRAPHIQUE 1 : EVOLUTION DE LA PRODUCTION DU CUIVRE EN DOLLARS

GRAPHIQUE 2 : EVOLUTION DE LA DETTE

GRAPHIQUE 3 : EVOLUTION DE L' IDH

GRAPHIQUE 5 : ANALYSE DES CHOCS

GRAPHIQUE 5 : DECOMPOSITION DE LA VARIANCE DE L'ERREUR PREVISIONNELLE

GRAPHIQUE6 : DES RESIDUS PREVISIONNELS

CORRELOGRAME 1 : SERIE DU CUIVRE

Date: 10/15/10 Time: 10:23

Sample: 1979 2009

Included observations: 31

Autocorrelation

Partial Correlation

 

AC

PAC

Q-Stat

Prob

. |*******|

. |*******|

1

0.956

0.956

31.193

0.000

. |*******|

***| . |

2

0.881

-0.400

58.553

0.000

. |****** |

.**| . |

3

0.779

-0.251

80.709

0.000

. |***** |

. | . |

4

0.666

-0.034

97.515

0.000

. |**** |

. | . |

5

0.549

-0.039

109.36

0.000

. |*** |

. *| . |

6

0.429

-0.090

116.90

0.000

. |**. |

. *| . |

7

0.309

-0.092

120.98

0.000

. |* . |

. *| . |

8

0.190

-0.067

122.59

0.000

. |* . |

. *| . |

9

0.073

-0.103

122.84

0.000

. | . |

. | . |

10

-0.038

-0.035

122.91

0.000

. *| . |

. *| . |

11

-0.143

-0.067

123.95

0.000

.**| . |

. | . |

12

-0.234

-0.001

126.90

0.000

.**| . |

. |**. |

13

-0.297

0.212

131.90

0.000

***| . |

. *| . |

14

-0.342

-0.088

138.92

0.000

***| . |

. *| . |

15

-0.370

-0.080

147.69

0.000

***| . |

. *| . |

16

-0.395

-0.142

158.32

0.000

CORRELOGRAMME 2 : SERIE DETTE

Date: 10/15/10 Time: 10:28

Sample: 1979 2009

Included observations: 31

Autocorrelation

Partial Correlation

 

AC

PAC

Q-Stat

Prob

. | . |

. | . |

1

-0.042

-0.042

0.0593

0.808

. *| . |

. *| . |

2

-0.143

-0.145

0.7762

0.678

. | . |

. | . |

3

-0.003

-0.016

0.7765

0.855

. |**. |

. |**. |

4

0.269

0.253

3.5211

0.475

. *| . |

. *| . |

5

-0.147

-0.136

4.3705

0.497

. *| . |

. | . |

6

-0.096

-0.043

4.7488

0.576

. *| . |

. *| . |

7

-0.107

-0.155

5.2375

0.631

. *| . |

.**| . |

8

-0.122

-0.241

5.8944

0.659

. *| . |

. *| . |

9

-0.088

-0.073

6.2506

0.715

. | . |

. *| . |

10

-0.033

-0.084

6.3047

0.789

. | . |

. | . |

11

-0.014

0.006

6.3142

0.852

. | . |

. |* . |

12

0.057

0.115

6.4901

0.889

. | . |

. | . |

13

0.061

0.051

6.7032

0.917

. |* . |

. |* . |

14

0.078

0.085

7.0662

0.932

. *| . |

. *| . |

15

-0.079

-0.155

7.4624

0.944

. | . |

.**| . |

16

-0.043

-0.194

7.5891

0.960

CORRELOGRAMME 3 : SERIE IDH

Date: 10/15/10 Time: 10:33

Sample: 1979 2009

Included observations: 31

Autocorrelation

Partial Correlation

 

AC

PAC

Q-Stat

Prob

. |*******|

. |*******|

1

0.845

0.845

24.376

0.000

. |***** |

. *| . |

2

0.665

-0.175

39.973

0.000

. |**** |

. |* . |

3

0.540

0.097

50.608

0.000

. |*** |

. *| . |

4

0.406

-0.148

56.863

0.000

. |**. |

. | . |

5

0.278

-0.035

59.902

0.000

. |* . |

. | . |

6

0.171

-0.045

61.103

0.000

. |* . |

. |* . |

7

0.140

0.187

61.939

0.000

. |* . |

. |* . |

8

0.163

0.113

63.127

0.000

. |* . |

. | . |

9

0.164

-0.052

64.380

0.000

. |* . |

. *| . |

10

0.143

-0.061

65.378

0.000

. |* . |

. *| . |

11

0.103

-0.122

65.921

0.000

. | . |

.**| . |

12

-0.008

-0.296

65.925

0.000

. *| . |

.**| . |

13

-0.166

-0.216

67.487

0.000

.**| . |

. |* . |

14

-0.253

0.168

71.331

0.000

***| . |

. *| . |

15

-0.336

-0.144

78.566

0.000

***| . |

. |* . |

16

-0.390

0.096

88.952

0.000

TABLEAU 1 : CUIVRE

ADF Test Statistic

-0.682471

1% Critical Value*

-4.2949

 
 

5% Critical Value

-3.5670

 
 

10% Critical Value

-3.2169

*MacKinnon critical values for rejection of hypothesis of a unit root.

 
 
 
 
 
 
 
 
 
 

Augmented Dickey-Fuller Test Equation

Dependent Variable: D(CUIVRE)

Method: Least Squares

Date: 10/15/10 Time: 10:37

Sample(adjusted): 1980 2009

Included observations: 30 after adjusting endpoints

Variable

Coefficient

Std. Error

t-Statistic

Prob.

CUIVRE(-1)

-0.052493

0.076916

-0.682471

0.5008

C

51038.72

214818.1

0.237590

0.8140

@TREND(1979)

-3526.916

8946.506

-0.394223

0.6965

R-squared

0.024244

Mean dependent var

-57506.67

Adjusted R-squared

-0.048034

S.D. dependent var

192341.1

S.E. of regression

196906.5

Akaike info criterion

27.31348

Sum squared resid

1.05E+12

Schwarz criterion

27.45360

Log likelihood

-406.7023

F-statistic

0.335425

Durbin-Watson stat

0.621458

Prob(F-statistic)

0.717972

TABLEAU 2 : DETTE

ADF Test Statistic

-5.506554

1% Critical Value*

-3.6661

 
 

5% Critical Value

-2.9627

 
 

10% Critical Value

-2.6200

*MacKinnon critical values for rejection of hypothesis of a unit root.

TABLEAU 3 : SERIE IDH

ADF Test Statistic

-2.080105

1% Critical Value*

-4.2949

 
 

5% Critical Value

-3.5670

 
 

10% Critical Value

-3.2169

*MacKinnon critical values for rejection of hypothesis of a unit root.

 
 
 
 
 
 
 
 
 
 

Augmented Dickey-Fuller Test Equation

Dependent Variable: D(IDH)

Method: Least Squares

Date: 10/15/10 Time: 10:53

Sample(adjusted): 1980 2009

Included observations: 30 after adjusting endpoints

Variable

Coefficient

Std. Error

t-Statistic

Prob.

IDH(-1)

-0.278826

0.134044

-2.080105

0.0471

C

0.084188

0.038193

2.204267

0.0362

@TREND(1979)

0.001420

0.000938

1.513128

0.1419

R-squared

0.139973

Mean dependent var

0.005227

Adjusted R-squared

0.076267

S.D. dependent var

0.027641

S.E. of regression

0.026566

Akaike info criterion

-4.323757

Sum squared resid

0.019055

Schwarz criterion

-4.183637

Log likelihood

67.85636

F-statistic

2.197180

Durbin-Watson stat

1.547027

Prob(F-statistic)

0.130591

TABLEAU 4 ; SERIE CUIVRE

ADF Test Statistic

-6.146654

1% Critical Value*

-4.3226

 
 

5% Critical Value

-3.5796

 
 

10% Critical Value

-3.2239

*MacKinnon critical values for rejection of hypothesis of a unit root.

TABLEAU 5 : STATIONNARITE DE LA SERIE IDH

ADF Test Statistic

-4.474891

1% Critical Value*

-4.3082

 
 

5% Critical Value

-3.5731

 
 

10% Critical Value

-3.2203

*MacKinnon critical values for rejection of hypothesis of a unit root.

Tableau 6. Estimation du modèle VAR(1,1)

Date: 10/15/10 Time: 12:30

Sample(adjusted): 1981 2009

Included observations: 29 after adjusting endpoints

Standard errors & t-statistics in parentheses

 

DIDH

DCUIVRE

DETTE

DIDH(-1)

0.052561

1005615.

-83662.41

 

(0.19207)

(1021074)

(36533.9)

 

(0.27366)

(0.98486)

(-2.28999)

 
 
 
 

DCUIVRE(-1)

-4.94E-08

0.699617

0.000266

 

(2.8E-08)

(0.14781)

(0.00529)

 

(-1.77634)

(4.73326)

(0.05027)

 
 
 
 

DETTE(-1)

2.69E-08

0.406143

-0.048600

 

(9.5E-07)

(5.06634)

(0.18127)

 

(0.02827)

(0.08016)

(-0.26810)

 
 
 
 

C

0.001641

-27573.35

4091.402

 

(0.00645)

(34280.0)

(1226.54)

 

(0.25444)

(-0.80436)

(3.33574)

Determinant Residual Covariance

3.01E+14

 

Log Likelihood

-606.8313

 

Akaike Information Criteria

42.67802

 

Schwarz Criteria

43.24380

 

Tableau 7 : Analyse des chocs

Period

DETTE

DIDH

1

4901.725

279.2832

 

(643.628)

(910.966)

2

-236.4509

-2173.623

 

(824.766)

(920.926)

3

29.78183

-11.61203

 

(392.829)

(560.475)

4

28.62825

104.6562

 

(128.990)

(233.225)

5

18.81595

76.29011

 

(84.2630)

(125.963)

6

11.72090

48.24194

 

(53.1086)

(83.1863)

7

7.240581

29.87393

 

(33.5101)

(51.9748)

8

4.466733

18.43668

 

(21.2223)

(32.5839)

9

2.754916

11.37181

 

(13.4758)

(20.8656)

10

1.699066

7.013527

 

(8.57343)

(13.6356)

Ordering: DIDH DETTE DCUIVRE

Period

DIDH

DETTE

1

0.025811

0.000000

 

(0.00339)

(0.00000)

2

0.001479

-0.000197

 

(0.00477)

(0.00451)

3

-0.001188

-0.000346

 

(0.00264)

(0.00149)

4

-0.000937

-0.000233

 

(0.00141)

(0.00103)

5

-0.000599

-0.000146

 

(0.00095)

(0.00065)

6

-0.000372

-9.01E-05

 

(0.00060)

(0.00041)

7

-0.000229

-5.56E-05

 

(0.00037)

(0.00026)

8

-0.000141

-3.43E-05

 

(0.00024)

(0.00016)

9

-8.73E-05

-2.11E-05

 

(0.00016)

(0.00010)

10

-5.38E-05

-1.30E-05

 

(0.00010)

(6.7E-05)

Ordering: DIDH DETTE DCUIVRE

Tableau 8 : Décomposition de la variance

Variance Decomposition of DIDH:

 
 
 
 

Period

S.E.

DIDH

DETTE

DCUIVRE

1

0.025811

100.0000

0.000000

0.000000

2

0.026726

93.58150

0.005459

6.413045

3

0.027234

90.31006

0.021362

9.668579

4

0.027442

89.06453

0.028243

10.90723

5

0.027521

88.59658

0.030882

11.37254

6

0.027552

88.41976

0.031883

11.54835

7

0.027563

88.35270

0.032262

11.61504

8

0.027568

88.32721

0.032407

11.64038

9

0.027569

88.31753

0.032461

11.65001

10

0.027570

88.31384

0.032482

11.65368

Variance Decomposition of DETTE:

 
 
 
 

Period

S.E.

DIDH

DETTE

DCUIVRE

1

4909.675

0.323582

99.67642

0.000000

2

5374.643

16.62572

83.36969

0.004596

3

5407.018

16.42768

82.37734

1.194977

4

5423.866

16.36301

81.86913

1.767864

5

5430.662

16.34182

81.66557

1.992610

6

5433.270

16.33401

81.58764

2.078349

7

5434.264

16.33106

81.55798

2.110952

8

5434.642

16.32994

81.54671

2.123349

9

5434.786

16.32952

81.54242

2.128064

10

5434.840

16.32936

81.54079

2.129857

Ordering: DIDH DETTE DCUIVRE

 
 
 
 

LISTE DES DONNEES

CUIVRE

DETTE

IDH

DIDH

DCUIVRE

2001150.

2858.000

0.275400

NA

NA

2128500.

3115.000

0.285000

0.009600

127350.0

2341000.

2887.000

0.290800

0.005800

212500.0

2332000.

2128.000

0.296000

0.005200

-9000.000

2329000.

262.0000

0.302300

0.006300

-3000.000

2328000.

338.0000

0.308100

0.005800

-1000.000

2347000.

4977.000

0.314000

0.005900

19000.00

2378000.

4253.000

0.319600

0.005600

31000.00

2361500.

4464.000

0.324500

0.004900

-16500.00

2197500.

2137.000

0.331200

0.006700

-164000.0

2126000.

3684.000

0.294000

-0.037200

-71500.00

1890000.

2576.000

0.262000

-0.032000

-236000.0

1110500.

1732.000

0.299000

0.037000

-779500.0

674965.0

2218.000

0.384000

0.085000

-435535.0

229550.0

1716.000

0.371000

-0.013000

-445415.0

146615.0

493.0000

0.381000

0.010000

-82935.00

162560.0

264.0000

0.410000

0.029000

15945.00

194410.0

465.0000

0.450000

0.040000

31850.00

180000.0

2458.000

0.479000

0.029000

-14410.00

184845.0

1567.000

0.430000

-0.049000

4845.000

148170.0

27488.00

0.430000

0.000000

-36675.00

139760.0

321.0000

0.431000

0.001000

-8410.000

105000.0

264.0000

0.363000

-0.068000

-34760.00

90745.00

7292.000

0.365000

0.002000

-14255.00

40500.00

15952.00

0.378000

0.013000

-50245.00

38445.00

1685.000

0.391000

0.013000

-2055.000

80275.00

2319.000

0.411000

0.020000

41830.00

124600.0

1564.000

0.426030

0.015030

44325.00

172700.0

1354.000

0.426700

0.000670

48100.00

208400.0

1605.000

0.434567

0.007867

35700.00

275950.0

1458.000

0.432223

-0.002344

67550.00

Source PNUD (Rapport annuel 1990-2008); FMI, Banque mondiale et Rapport de la BCC

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