ANNEXE A
EQUATIONS ET VARIABLES DU MODÈLE
V
A.1 Équations du modèle
A.1.1 Production
1. VAj,t = íjXSTj,t
2. CIj,t = iojXSTj,t
3. VAj,t = BV A
j [âV AjLDCj,t j A + (1
- â~ A)KDC~ t j A]
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-1
ñV A j
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V A óV A
4. LDCj,t = [1-/q9îA Rj
4. ] j KDCj
Nj ,t
5. LDCj,t = B, D[>l
âL
Dl,jLDj t D]
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ñLD j
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ó
6. LDl,j,t = [âLD
l,j W Cj,t LD j )óLD
W T Il,j,t ] j (BLD j
-1LDCj,t
7. KDCj,t = BKD
j [Pl â(jDKDj t
KD]
l,j
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-1
ñKD j
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ó
8. KDl,j,t = [âKD
l,j RCj,t KD j )óKD
RTIl,j,t ] j (BKD j -1KDCj,t
9. DIi,j,t = aiji,jCIj,t
A.1.2 Revenus et Épargne
Ménages
10. YHh,t = Y HLh,t + Y HKh,t + Y
HTRh,t
11. YHLh,t = >l AW,lL
[Wl,t >j LDl,j,t]
12. YHKh,t = >k ARK
h,k (>j Rk,j,tKDk,j,t)
13. YHTRh,t = >ag TRh,ag,t
14. YDHh,t = Y Hh,t - TDh,t -
TRgov,h,t
15. CTHh,t = Y DHh,t - SHh,t - >agng
TRagng,h,t
16. SHh,t = PIXCONçt
sh0çt + sh1h,tY DHh,t
Entreprises
17. YEf,t = Y EKf,t + YET Rf,t
18. YEKf,t = (1 - Agov - Arow)
>j Rj,tKDj,t
VI
19. YETRf,t = >ag TRf,ag,t
20.
VII
YDEf,t = Y Ef,t - TDEf,t
21. SEf,t = Y DEf,t - >ag TRag,f,t
Gouvernement
22. YG t = Y GKt + Y GTRt + TDTt +
TDETt + TPRODTt + TPRCTSt
>
23. YGKt = ëgov j
Rj,tKDj,t
24. YGTRt = >agng T Rgov,agng,t
25. TDHTt = >h TDh,t
26. TDETt = >j TDj,t
27. TPRODTt = TIWTt + TIKTt +
TIPTt
28. TIPTt = >j TIPj,t
29. TIWTt = >l,j TIWl,j,t
30. TIKTt = >k,j TIKk,j,t
31. TPRCTSt = TITt + TV ATt + TXTt +
TMTt
32. TITt = >i TIi,t
33. TMTt = >m T Mm,t
34. TXTt = >x TXx,t
35.
VIII
TVATt = >i TV Ai,t
36. TDHh,t = PIXCONçt
ttdh0h,t + ttdh1h,t YHh,t
37. TDFf,t = PIXCONçt
ttdf0f,t + ttdf1f,t Y FKf,t
38. TIWl,j,t = ttiwl,j,t WlLDl,j,t
39. TIKk,j,t = ttikk,j,t Rk,tKDk,j,t
40. TIPj,t = PPj,t XSTj,t
41. TInm,t = ttinm,t(PLnm,t +
>i PCnm,t tmrgi,nm,t)DDnm,t
42. TIm,t = ttim,t (PLm,t + >i
PCi,t tmrgi,m)DDm,t + [(1+ttmm)
PWMm, te + >i PCi,t tmrgi,m,t]IMm,t
43. TVAnm,t = ttvanm,t(PLnm,t +
>i PCi,t tmrgi,nm)DDnm,t
44. TVAm,t = ttvam,t(PLm,t +
>i PCi,t tmrgi,m)DDm + [(1+ttmm,t)
PWMm,te + >i PCm,t tmrgi,m]IMm,t
45. TMm,t = ttmm,t PW Mx,teIMm,t
46. TXx,t = ttxx,t (PEx,t + >i
PCi tmrgi,x,t)EXDx,t
47. SGt = Y Gt - >agng T
Ragng,gov,t
Reste du monde
48. YROWt = e > >j Rj,tKDj,t +
>
m PW Mm,tIMm,t + ërow agd T Rrow,agd,t
49. IX
SROWt = Y ROWt - >x PEF OB
x,t EXDx,t - %agd T Ragd,row,t
50. SROWt = -CABt
Transferts
51. TRagng,h,t = ëT R
agng,hY DHh,t
52. TRgov,h,t = PIXCONçt
tr0h + tr1hY Hh,t
53. TRag,f,t = ëT R
ag,fY DEf,t
54. TRagng,gov,t = PIXCONçt T
R0agng,gov,tpopt
55. TRagd,row,t = PIXCONçt TR0agd,rowpopt
A.1.3 Demande
56. Ci,h,tPCi,t = Cmin
i,h,tPCi,t + ãLES
i,h [CTH - >ij Cmin
ij,h,tPCij,t]
57. FBCFt = ITt - >i PCi,tV STKi,t
58. PCi,tINV PRI
i,t = ãINV PRIITPRI
i t
59. PCi,tINV P UB
i,t = ãINV PUBITPUB
i t
60. INVi,t = INVi,t P RI + INV P UB i,t
61.
X
PCi,tCGi,t = ãGOV
i Gt
62. DITi,t = Ej DIi,j,t
63. MRGNi,t = Ei,j tmrgi,ijDDij,t + Em tmrgi,mIMm,t +
Ex tmrgi,xEXDx,t
A.1.4 Offre de produits et commerce
extérieur
64. XST BxT [E QXTXSñ; Sj,i,t] ñ,T
1
j,t - j i j,i,t
65. XSj,i,t = XSTj,t j [ Pj,i,t
j
(BXT
j )1+óXT âXT j,i PTj,t ]óXS
66. XSj,x,t = BX j,x[âXT
j,x EXñX
j,x,t + (1 - âXT
j,x j,x )DSñXj,x,t]
j,x
67. XSj,nx,t = DSj,nx,t
68. EXj,x,t = [1?âX j,x PEx,t
PLx,t ]óX j,xDSj,x,t
âX j,x
69. EXDx,t= EXDO x,tpopt[etP W Xx,t
P EF OB x,t
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]óXD x
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1
70. Qm,t = BMm [âMm
IM?ñM
m,t + (1 - âM
m m )DS?ñM m
m,t ]
m ñM
71. Qnm,t = DDnm,t
72. IMm,t =
[1?âM P Dm,t
m P Mm,t ]óM m DDm,t âM m
A.1.5 Prix Production
73.
XI
PPj,t = PV Aj,tV Aj,t+PCIj,tCIj,t XSTj,t
74. PTj,t = (1 + ttprodj,t)PPj,t
75. PCIj t = ~i PCiIj
76. PVAj,t = WCj,tLDCj,t+RCj,tKDCj,t
V Aj,t
P
lWT Il,j,tLDl,j,t
77. WCj,t = LDCj,t
78. WTIl,j,t = Wj (1 + ttiwl,j,t)
79. RCk,t = ~l R KDCDk j t
80. RTIk,j,t = Rk,j (1 + ttikk,j,t)
Commerce extérieur
81. PTj,t = Ei xsTX sj,i,t
82. Px,t = PEx,tEXx,t+PLx,tDx,t XSx,t
83. Pnx,t = PLnx,t
84. PEF OB
x,t = (PEx,t + >i
PCi,ttmrgXi,x)(1 + ttdex,t)
85. PDi,t = (1 + ttici,t)(PLi,t + >ij
PCij,ttmrgij,i)
86. PMm,t = (1 + tticm,t)((1 +
ttdmm,t)etPWMm,t + >i
PCi,ttmrgi,m)
87. PCm,t = PMm,tIMm,t+PDm,tDm,t Qm,t
88. PCnm,t = PDnm,t
XII
Indice des prix
r 89. PIXGDPt = >j PV
Aj,tV AOj >j PV Aj,tV Aj,t
>
>
j PV AOj,tV AOj j PV AOj,tV Aj,t
> >
90. PIXCONt = i 7PCOij >h >h
COij,h
91. PIXINVP RI
t = ~i(PCi,t
PCOi)ãi NV PRI
92. PIXINVP UB
t = Qi( P Ci,t
P COi )ãINV PUB
i
=
93. PIXGOV (Pci,t )ryGOV
t PCOi i
A.1.6 Équilibre
94. Qi,t = Eh Ci,h,t + Gi,t + INVi,t + V ST Ki,t + DITi,t +
MRGNi,t
95. Ej LDl,j,t = LSl,t
96. Ej KDk,j,t = KSk,t
97. ITt = Eh SHh,t + E f SEf,t + SGt + SROWt
98. ITPRI t= ITt - IT PUB
t - Ei PCi,tV STKi,t
99. Ej DSj,i,t = DDi,t
100. Ej EXj,x,t = EXDx,t
XIII
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