Munich Personal RePEc Archive
Estimation of the Equilibrium Interest
Rate: Case of CFA zone
Dramani, Latif and Laye, Oumy
University Cheikh Anta Diop of Dakar
18 June 2007
Online at
https://mpra.ub.uni-muenchen.de/3610/
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Table 1 : functions of reactions in the franc zone; evaluation by the iterative least squares
Coef Prob R2
α <=45 <=<<
β !<=</ <=<<
γ /=56 <=<.
C0 <=/ <=/ <=/ <=/ <=/5<=/5<=/5<=/5
δ <=<< <=54 <=4<
α !<=// <= 4
β <=<< <=4
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δ <=<< <=.5
C0 <=<0<=<0<=<0<=<0 <=6)<=6)<=6)<=6)
<=<0
α <=4< <=<<
β <=<< <=<
γ !<=60 <=
C0 <=0<<=0<<=0<<=0< <<<<=<2=<2=<2=<2
δ <=<< <=4/
<=2.
α <=2. <=<<
β !<=</ <=<<
γ !<=0< <=./
C0 <=02<=02<=02<=02 <=< <=< <=< <=<
%/
δ <=<< <=4/
<=2
α <=40 <=<<
β !<=</ <=<<
γ <=2 <=<5
C0 <=/.<=/.<=/.<=/. <=<4<=<4<=<4<=<4
δ <=<< <=06
<=24
α <=40 <=<<
β !<=</ <=<<
γ <=56 <=66
C0 <=/.<=/.<=/.<=/. <=/<<=/<<=/<<=/<
δ <=<< <=.)
<=24
α <=4/ <=<<
β <=<< <=)4
γ <=// <=2/
C0 <=/2<=/2<=/2<=/2 <=<4<=<4<=<4<=<4
%
0
δ <=<< <=56
<=2.
Coef Prob R2
α <=22 <=<<
β <=<< <=2.
γ !<=0 <=)4
C0 <=06<=06<=06<=06 <=<6<=<6<=<6<=<6
δ <=<< <=2/
<=2)
α <=4< <=<<
β !<=</ <=<6
γ <=0 <=6/
δ <=00<=00<=00<=00 <=<2<=<2<=<2<=<2
0
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<=22
α <=24 <=<<
β <=<< <=0<
γ <=<4 <=2/
C0 <=0<=0<=0<=0 <=<)<=<)<=<)<=<)
%
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<=22
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β <=<< <=6)
γ !<=6) <=<2
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0
δ <=<< <=0<
<=2.
α <=4< <=<<
β <=<< <=)4
γ <=/6 <=2/
C0 <=00<=00<=00<=00 <=<4<=<4<=<4<=<4
δ <=<< <=56
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Table 2 : estimation on the panel data
Parameter Coef Prob R2 ZONE
S.U.R METHOD
Α 0,896 0,00
Β 0,000 0,00
Γ 0,005 0,03
C0 0,197 0,00
_ _ 0,86 S.U.R METHOD
Α 0,92 0,00
Β 0,00 0,08
Γ 0,01 0,08
0,00 0,01
C
F
A
C0 0,15 0,00
0,85 UEMOA ZONE METHOD
α 0,76899 0.0000 β
0,000061 0.0225
γ 0,01000 0.1061 δ -0,00005 0.0001
U
E
M
O
A
C0 0,470817 0.0105
0.97 CEMAC ZONE METHOD
α 0.909586 0.0000 β 0.000101 0.2468 γ 0.042200 0.0001 δ
-1.70E-06 0.9841
C
E
M
A
C
C0 0.188587 0.0000
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Table 3 : Estimation by the Kalman filter in UEMOA zone
1 %
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Coefficient Prob
α 0,94 0,00
β -0,01 0,00
γ 1,32 0,09
δ 0,00 0,40
C0 0,13 0,16
Log likelihood -30,72
Akaike info criterion 1,59
BEN
α -0,343 0,285
β 0,003 0,717
γ 0,111 0,923
δ 0,003 0,575
C0 0,035 0,385
Log likelihood -41,616
Akaike info criterion 2,841
BFA
α 0,902 0,000
β -0,004 0,050
γ -0,517 0,470
δ 0,000 0,918
C0 0,200 0,098
Log likelihood -37,601
Akaike info criterion 2,087
CIV
α 0,851 0,000
β -0,011 0,008
γ -0,204 0,729
δ -0,001 0,805
C0 0,316 0,049
Log likelihood -38,366
Akaike info criterion 2,540
MLI
α 0,92 0,00
β -0,01 0,00
γ 0,84 0,04
δ 0,00 0,28
C0 0,17 0,12
Log likelihood -34,03
Akaike info criterion 1,89
NER
α 0,915 0,000
β -0,012 0,002
γ 0,353 0,575
δ 0,001 0,774
C0 0,174 0,123
Log likelihood -34,568
Akaike info criterion 1,923
SEN
α 0,910 0,000
β -0,001 0,714
γ 0,114 0,821
δ 0,002 0,379
C0 0,181 0,118
Log likelihood -38,504
. Table 4 : Estimation by the Kalman filter in CEMAC zone
% 1
/'2 '$ & % $ &3 4
Coefficient Prob
α 0,88 0,00
β 0,00 0,88
δ -0,24 0,71
γ 0,00 0,82
C0 0,25 0,08
Log likelihood -28,55
Akaike info criterion 1,85
CAF
α 0,90 0,00
β -0,01 0,08
δ 0,24 0,55
γ 0,00 0,85
C0 0,22 0,10
Log likelihood -25,94
Akaike info criterion 1,68
CMR
α 0,91 0,00
β 0,00 0,60
δ -0,56 0,11
γ 0,00 0,24
C0 0,20 0,14
Log likelihood -28,59
Akaike info criterion 1,85
GAB
α 0,887 0,000
β 0,001 0,242
δ 0,091 0,823
γ 0,000 0,768
C0 0,239 0,080
Log likelihood -28,667
Akaike info criterion 1,854
COG
α 0,90 0,00
β 0,00 0,14
δ 0,15 0,57
γ 0,00 0,38
C0 0,22 0,09
Log likelihood -27,71
Akaike info criterion 1,79
.,
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Tableau 5 : Estimation of the neutral interest rate
(Interest rate average – Inflation rate average)
Country TXINT Average Inflation Average Neutral Rate % % 1
BEN 6,83 5,38 1,45
BFA 6,83 4,54 2,29
CIV 6,83 6,29 0,54
MLI 7,17 7,53 -0,37
NER 6,80 5,12 1,69
SEN 6,83 4,98 1,85
TGO 6,83 5,07 1,76
Average 6,87 5,56 1,31
% 1
CAF 7,55 6,93 0,62
CMR 7,54 6,13 1,41
COG 7,55 6,96 0,59
GAB 7,55 7,86 -0,31
TCD 7,58 5,38 2,20
Average 7,55 6,65 0,90
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(Interest rate average – Inflation rate average)
Country TXINT Average Inflation Average Neutral Rate % % 1
BEN 6,83 5,38 1,45
BFA 6,83 4,54 2,29
CIV 6,83 6,29 0,54
MLI 7,17 7,53 -0,37
NER 6,80 5,12 1,69
SEN 6,83 4,98 1,85
TGO 6,83 5,07 1,76
Average 6,87 5,56 1,31
% 1
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CMR 7,54 6,13 1,41
COG 7,55 6,96 0,59
GAB 7,55 7,86 -0,31
TCD 7,58 5,38 2,20
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