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VARIABLE
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EQUATIONS

PARAMETER DEFINITIONS

PARAMETER VALUES

COUNTRY & SECTORAL CODES

SECTORAL MAPPING

 


EQUATIONS  

see the file MODEL-MSGPROC.LIS file located in the Model's BUILD directory for the live version

 

 

Equations:
Equation 1
EXCH("UU") = 0
Equation 2
For g1 in goods_e, r in regions (50 total):
OUY(g1,r) = CON(g1,r)+IIN(g1,r) +INS(r,g1) +GCE(g1,r) +EXQ(g1,r) +sum(s1 in sec_std, EN(s1,g1,r))
Equation 3
For g3 in goods_m, r in regions (70 total):
OUY(g3,r) = CON(g3,r)+IIN(g3,r) +INS(r,g3) +GCE(g3,r) +EXQ(g3,r) +sum(s1 in sec_std, OI(s1,g3,r))
Equation 4
For g4 in goods_o, r in regions (120 total):
IMQ(g4,r) = (1-delta_dom(g4,r))*OUY(g4,r) *exp( PRS(g4,r)-PMR(g4,r)) ^sigma_df(g4,r)
Equation 5
For d in dest, g4 in goods_o, o1 in orig (1200 total):
PIM(g4,d,o1) = EXCH(o1)+PRX(g4,o1) -EXCH(d)
Equation 6
For d in dest, g4 in goods_o, o1 in orig (1200 total):
IMP(g4,d,o1) = delta_ff(g4,d,o1)*IMQ(g4,d) *(carcoef(g4,d)*TCP(g4,d) +btucoef(g4,d)*TBFI(d) +BCT(g4,d,o1) +(1 +(TIM(g4,d,o1)+TIX(g4,d)) *MUL(d,o1) +TIF(g4,d)*FTA(d,o1)) *exp( PIM(g4,d,o1)-PMR(g4,d))) ^(-sigma_ff(g4,d)) +IMPX(g4,d,o1)
Equation 7
For d in dest, g4 in goods_o (120 total):
PMQ(g4,d) = loge( sum(o1 in orig, IMP(g4,d,o1)*exp(PIM(g4,d,o1))) /IMQ(g4,d))
Equation 8
For r in regions (10 total):
IMQT(r) = sum(g4 in goods_o, exp(PMQ(g4,r))*IMQ(g4,r)) /exp(PRIM(r))
Equation 9
For r in regions (10 total):
EXQT(r) = sum(g4 in goods_o, exp(PRX(g4,r))*EXQ(g4,r)) /exp(PRIX(r))
Equation 10
For g4 in goods_o, o1 in orig (120 total):
EXQ(g4,o1) = sum(d in dest, IMP(g4,d,o1))
Equation 11
For g4 in goods_o, r in regions (120 total):
PRX(g4,r) = loge( (1+TEX(g4,r))*exp(PRS(g4,r)) -carcoef(g4,r)*TCP(g4,r) +btucoef(g4,r)*TBFX(r))
Equation 12
For g4 in goods_o, r in regions (120 total):
OUG(g4,r) = delta_dom(g4,r)*OUY(g4,r) *exp( PRS(g4,r)-PRD(g4,r)) ^sigma_df(g4,r)
Equation 13
For r in regions, s2 in sectors (200 total):
OUP(s2,r) = sum(g in goods, makeinv(g,s2,r)*OUG(g,r))
Equation 14
For r in regions, s1 in sec_std (190 total):
LAB(s1,r) = exp( SHL(r,s1)+SHY(s1,r)) ^(sigma_o(s1,r)-1) *delta_o("l",s1,r) *OUP(s1,r) *exp( PRP(s1,r)-WAG(s1,r)) ^sigma_o(s1,r)
Equation 15
For r in regions, s1 in sec_std (190 total):
ENT(s1,r) = exp( SHEF(s1,r)+SHY(s1,r)) ^(sigma_o(s1,r)-1) *delta_o("e",s1,r) *OUP(s1,r) *exp( PRP(s1,r)-PRE(s1,r)) ^sigma_o(s1,r)
Equation 16
For r in regions, s1 in sec_std (190 total):
OIN(s1,r) = exp(SHY(s1,r))^(sigma_o(s1,r)-1) *delta_o("m",s1,r) *OUP(s1,r) *exp( PRP(s1,r)-POI(s1,r)) ^sigma_o(s1,r)
Equation 17
For r in regions (10 total):
IITL(r) = exp( SHLY(r)+SHYY(r)) ^(sigma_oR(r)-1) *delta_oR("l",r) *INVT(r) *exp( PRII(r)-WAGE(r)) ^sigma_oR(r)
Equation 18
For r in regions (10 total):
IITE(r) = exp(SHYY(r))^(sigma_oR(r)-1) *delta_oR("e",r) *INVT(r) *exp( PRII(r)-PRIE(r)) ^sigma_oR(r)
Equation 19
For r in regions (10 total):
IITO(r) = exp(SHYY(r))^(sigma_oR(r)-1) *delta_oR("m",r) *INVT(r) *exp( PRII(r)-PROI(r)) ^sigma_oR(r)
Equation 20
For g1 in goods_e, r in regions (50 total):
IIN(g1,r) = delta_eR(g1,r)*IITE(r) *exp( PRIE(r)-PRY(g1,r)) ^sigma_eR(r)
Equation 21
For g3 in goods_m, r in regions (70 total):
IIN(g3,r) = delta_mR(g3,r)*IITO(r) *exp( PROI(r)-PRY(g3,r)) ^sigma_mR(r)
Equation 22
For r in regions (10 total):
LABO(r) = IITL(r)+CNPL(r) +GOVL(r) +sum(s1 in sec_std, LAB(s1,r))
Equation 23
For g4 in goods_o, r in regions (120 total):
PRS(g4,r) = cd_df(g4,r) *(delta_dom(g4,r)*PRD(g4,r) +(1-delta_dom(g4,r))*PMR(g4,r)) +((1-cd_df(g4,r)) *loge( delta_dom(g4,r) *exp(PRD(g4,r))^(1-sigma_df(g4,r)) +(1-delta_dom(g4,r)) *exp(PMR(g4,r))^(1-sigma_df(g4,r)))) /(1 -sigma_df(g4,r)*(1-cd_df(g4,r)))
Equation 24
For g in goods, r in regions (200 total):
PRY(g,r) = loge(1+TAX(g,r))+PRS(g,r)
Equation 25
For d in dest, g4 in goods_o (120 total):
PMR(g4,d) = cd_ff(g4,d) *sum(o1 in orig, delta_ff(g4,d,o1) *loge( carcoef(g4,d)*TCP(g4,d) +btucoef(g4,d)*TBFI(d) +BCT(g4,d,o1) +(1 +(TIM(g4,d,o1)+TIX(g4,d)) *MUL(d,o1) +TIF(g4,d)*FTA(d,o1)) *exp(PIM(g4,d,o1)))) +((1-cd_ff(g4,d)) *loge( sum(o1 in orig, delta_ff(g4,d,o1) *(carcoef(g4,d)*TCP(g4,d) +btucoef(g4,d)*TBFI(d) +BCT(g4,d,o1) +(1 +(TIM(g4,d,o1)+TIX(g4,d)) *MUL(d,o1) +TIF(g4,d)*FTA(d,o1)) *exp(PIM(g4,d,o1))) ^(1-sigma_ff(g4,d))))) /(1 -sigma_ff(g4,d)*(1-cd_ff(g4,d)))
Equation 26
For r in regions (10 total):
PRIM(r) = sum(g4 in goods_o, prim_weight(g4,r)*PMQ(g4,r))
Equation 27
For r in regions (10 total):
PRIE(r) = cd_eR(r) *sum(g1 in goods_e, delta_eR(g1,r)*PRY(g1,r)) +((1-cd_eR(r)) *loge( sum(g1 in goods_e, delta_eR(g1,r) *exp(PRY(g1,r))^(1-sigma_eR(r))))) /(1 -sigma_eR(r)*(1-cd_eR(r)))
Equation 28
For r in regions (10 total):
PROI(r) = cd_mR(r) *sum(g3 in goods_m, delta_mR(g3,r)*PRY(g3,r)) +((1-cd_mR(r)) *loge( sum(g3 in goods_m, delta_mR(g3,r) *exp(PRY(g3,r))^(1-sigma_mR(r))))) /(1 -sigma_mR(r)*(1-cd_mR(r)))
Equation 29
For g in goods, r in regions (200 total):
PRD(g,r) = loge( exp( sum(s2 in sectors, makeinv(g,s2,r)*PRP(s2,r))) +carcoef(g,r)*TCP(g,r) +btucoef(g,r)*TBFD(r))
Equation 30
For r in regions, s1 in sec_std (190 total):
PRP(s1,r) = cd_o(s1,r) *(delta_o("k",s1,r)*PRK(s1,r) +delta_o("l",s1,r)*WAG(s1,r) +delta_o("e",s1,r)*PRE(s1,r) +delta_o("m",s1,r)*POI(s1,r) -delta_o("l",s1,r)*SHL(r,s1) -delta_o("k",s1,r)*SHK(s1,r) -delta_o("e",s1,r)*SHEF(s1,r)) +((1-cd_o(s1,r)) *loge( delta_o("k",s1,r) *exp( PRK(s1,r)-SHK(s1,r)) ^(1-sigma_o(s1,r)) +delta_o("l",s1,r) *exp( WAG(s1,r)-SHL(r,s1)) ^(1-sigma_o(s1,r)) +delta_o("e",s1,r) *exp( PRE(s1,r)-SHEF(s1,r)) ^(1-sigma_o(s1,r)) +delta_o("m",s1,r) *exp(POI(s1,r))^(1-sigma_o(s1,r)))) /(1 -sigma_o(s1,r)*(1-cd_o(s1,r))) -SHY(s1,r)
Equation 31
For r in regions (10 total):
PRII(r) = cd_oR(r) *(delta_oR("k",r)*PRKY(r) +delta_oR("l",r)*WAGE(r) +delta_oR("e",r)*PRIE(r) +delta_oR("m",r)*PROI(r) -delta_oR("l",r)*SHLY(r)) +((1-cd_oR(r)) *loge( delta_oR("k",r) *exp(PRKY(r))^(1-sigma_oR(r)) +delta_oR("l",r) *exp( WAGE(r)-SHLY(r)) ^(1-sigma_oR(r)) +delta_oR("e",r) *exp(PRIE(r))^(1-sigma_oR(r)) +delta_oR("m",r) *exp(PROI(r))^(1-sigma_oR(r)))) /(1 -sigma_oR(r)*(1-cd_oR(r))) -SHYY(r)
Equation 32
For r in regions, s1 in sec_std (190 total):
PRK(s1,r) = PRP(s1,r) +loge( (delta_o("k",s1,r)*OUP(s1,r)) /CAP(s1,r)) /sigma_o(s1,r) +((SHY(s1,r)+SHK(s1,r)) *(sigma_o(s1,r)-1)) /sigma_o(s1,r)
Equation 33
For r in regions (10 total):
PRKY(r) = PRII(r) +loge( (delta_oR("k",r)*INVT(r)) /CAPY(r)) /sigma_oR(r) +(SHYY(r)*(sigma_oR(r)-1)) /sigma_oR(r)
Equation 34
For r in regions (10 total):
PRKZ(r) = PRCT(r) +loge( (delta_oH("k",r)*CONP(r)) /CAPZ(r)) /sigma_oH(r) +(SHYZ(r)*(sigma_oH(r)-1)) /sigma_oH(r)
Equation 35
For r in regions (10 total):
lead(WAGE(r)) = WAGE(r) +wage_p(r) *(lead(PRCT(r))+PRXX(r) -PRCT(r)) +(1-wage_p(r)) *(PRCT(r)-PRCL(r)) +wage_q(r)*loge(LABO(r))
Equation 36
For r in regions, s1 in sec_std (190 total):
WAG(s1,r) = WAGE(r)
Equation 37
For r in regions, s1 in sec_std (190 total):
lead(CAP(s1,r)) = JNV(s1,r) +(1-delta(r)-labgrow(r)) *CAP(s1,r)
Equation 38
For r in regions (10 total):
lead(CAPY(r)) = JNVY(r) +(1-delta(r)-labgrow(r)) *CAPY(r)
Equation 39
For r in regions (10 total):
lead(CAPZ(r)) = JNVZ(r) +(1-delta(r)-labgrow(r)) *CAPZ(r)
Equation 40
For r in regions, s1 in sec_std (190 total):
INV(s1,r) = (((1+.5*(TOB(s1,r)-1))*(TOB(s1,r)-1) *CAP(s1,r)) /phi(s1,r)) *forei(s1,r) +(((1+.5*(TPA(s1,r)-1))*(TPA(s1,r)-1) *CAP(s1,r)) /phi(s1,r)) *(1-forei(s1,r)) +SHKI(r,s1)
Equation 41
For r in regions, s1 in sec_std (190 total):
JNV(s1,r) = (INV(s1,r) +phi(s1,r)*0.5*base_jk(s1,r)^2 *CAP(s1,r)) /(1 +phi(s1,r)*base_jk(s1,r))
Equation 42
For r in regions (10 total):
INVY(r) = JNVY(r) *(1 +((phi_y(r)/2)*JNVY(r)) /CAPY(r))
Equation 43
For r in regions (10 total):
INVZ(r) = JNVZ(r) *(1 +((phi_z(r)/2)*JNVZ(r)) /CAPZ(r))
Equation 44
For r in regions (10 total):
JNVY(r) = (CAPY(r) *(fore_i_y(r)*TOBY(r) +(1-fore_i_y(r))*TPAY(r) -1)) /phi_y(r)
Equation 45
For r in regions (10 total):
JNVZ(r) = (CAPZ(r) *(fore_i_z(r)*TOBZ(r) +(1-fore_i_z(r))*TPAZ(r) -1)) /phi_z(r)
Equation 46
For r in regions, s1 in sec_std (190 total):
lead(LAM(s1,r)) = (1+INTR(r)+RISE(s1,r) +delta(r)) *LAM(s1,r) -(1-TCOR(r)) *exp( PRK(s1,r)-PRID(r)) -(1-TITC(s1,r)) *exp( PRII(r)-PRID(r)) *(phi(s1,r)/2) *(JNV(s1,r)/CAP(s1,r)) ^2
Equation 47
For r in regions (10 total):
lead(LAMY(r)) = (1+INTR(r)+RISY(r) +delta(r)) *LAMY(r) -(1-TCOR(r)) *exp( PRKY(r)-PRID(r)) -exp( PRII(r)-PRID(r)) *(phi_y(r)/2) *(JNVY(r)/CAPY(r)) ^2
Equation 48
For r in regions (10 total):
lead(LAMZ(r)) = (1+INTR(r)+RISZ(r) +delta(r)) *LAMZ(r) -exp( PRKZ(r)-PRID(r)) -(1-TITCH(r)) *exp( PRII(r)-PRID(r)) *(phi_z(r)/2) *(JNVZ(r)/CAPZ(r)) ^2
Equation 49
For r in regions, s1 in sec_std (190 total):
TOB(s1,r) = (LAM(s1,r) *exp( PRID(r)-PRII(r))) /(1-TITC(s1,r))
Equation 50
For r in regions (10 total):
TOBY(r) = LAMY(r) *exp( PRID(r)-PRII(r))
Equation 51
For r in regions (10 total):
TOBZ(r) = (LAMZ(r) *exp( PRID(r)-PRII(r))) /(1-TITCH(r))
Equation 52
For r in regions, s1 in sec_std (190 total):
lead(TPA(s1,r)) = TPA(s1,r) +adapt(r) *(TOB(s1,r)-TPA(s1,r))
Equation 53
For r in regions (10 total):
lead(TPAY(r)) = TPAY(r) +adapt(r) *(TOBY(r)-TPAY(r))
Equation 54
For r in regions (10 total):
lead(TPAZ(r)) = TPAZ(r) +adapt(r) *(TOBZ(r)-TPAZ(r))
Equation 55
For r in regions, s1 in sec_std (190 total):
PRF(s1,r) = (OUP(s1,r)*exp(PRP(s1,r)) -ENT(s1,r)*exp(PRE(s1,r)) -LAB(s1,r)*exp(WAG(s1,r)) -OIN(s1,r)*exp(POI(s1,r)) -(1-TITC(s1,r))*INV(s1,r) *exp(PRII(r))) /exp(PRID(r))
Equation 56
For r in regions (10 total):
PRFY(r) = (INVT(r)*exp(PRII(r)) -IITE(r)*exp(PRIE(r)) -IITL(r)*exp(WAGE(r)) -IITO(r)*exp(PROI(r)) -INVY(r)*exp(PRII(r))) /exp(PRID(r))
Equation 57
For r in regions (10 total):
PRFZ(r) = (CONP(r)*exp(PRCT(r)) -CNPE(r)*exp(PRCE(r)) -CNPL(r)*exp(WAGE(r)) -CNPO(r)*exp(PRCO(r)) -(1-TITCH(r))*INVZ(r) *exp(PRII(r))) /exp(PRID(r))
Equation 58
For r in regions (10 total):
PRFT(r) = sum(s1 in sec_std, PRF(s1,r)) +PRFY(r)
Equation 59
For r in regions, s1 in sec_std (190 total):
STM(s1,r) = (LAM(s1,r)*CAP(s1,r)) /(1-TITC(s1,r))
Equation 60
For r in regions (10 total):
STMT(r) = sum(s1 in sec_std, STM(s1,r))
Equation 61
For r in regions (10 total):
INVT(r) = INVY(r)+INVZ(r) +sum(s1 in sec_std, INV(s1,r))
Equation 62
For r in regions (10 total):
PRID(r) = sum(g in goods, prid_weight(g,r)*PRD(g,r))
Equation 63
For r in regions (10 total):
PRIX(r) = sum(g4 in goods_o, prix_weight(g4,r)*PRX(g4,r))
Equation 64
For r in regions (10 total):
OUTP(r) = sum(g in goods, exp(PRD(g,r))*OUG(g,r)) /exp(PRID(r))
Equation 65
For r in regions (10 total):
LOGY(r) = loge(OUTP(r))
Equation 66
For r in regions (10 total):
lead(LGYL(r)) = LOGY(r)
Equation 67
For r in regions (10 total):
YGRO(r) = LOGY(r)-LGYL(r)
Equation 68
For r in regions (10 total):
NGRO(r) = YGRO(r)+INFP(r)
Equation 69
For r in regions (10 total):
INCM(r) = TRAN(r)-TAXL(r) +INTR(r)*BOND(r) +IRAS(r)/exp(REXN(r)) +PRFZ(r) +(1-TCOR(r))*PRFT(r) +((1-TINC(r)) *(exp(WAGE(r)) *(IITL(r)+CNPL(r)) +exp(WAGG(r))*GOVL(r) +sum(s1 in sec_std, exp(WAG(s1,r))*LAB(s1,r)))) /exp(PRID(r))
Equation 70
For r in regions (10 total):
CONP(r) = fore_c(r) *(timepref(r)+RISW(r)) *WELT(r) *exp( PRID(r)-PRCT(r)) +(1-fore_c(r))*mpc(r) *INCM(r) *exp( PRID(r)-PRCT(r)) +SHKC(r)
Equation 71
For o2 in owner (10 total):
IRAS(o2) = sum(c1 in currency, INTR(c1)*exp(REXN(c1)) *ASSE(c1,o2))
Equation 72
For o2 in owner (10 total):
INAS(o2) = sum(c1 in currency, INTN(c1)*exp(REXN(c1)) *ASSE(c1,o2))
Equation 73
For r in regions (10 total):
CNPL(r) = exp( SHLZ(r)+SHYZ(r)) ^(sigma_oH(r)-1) *delta_oH("l",r) *CONP(r) *exp( PRCT(r)-WAGE(r)) ^sigma_oH(r)
Equation 74
For r in regions (10 total):
CNPE(r) = exp( SHEFC(r)+SHYZ(r)) ^(sigma_oH(r)-1) *delta_oH("e",r) *CONP(r) *exp( PRCT(r)-PRCE(r)) ^sigma_oH(r)
Equation 75
For r in regions (10 total):
CNPO(r) = exp(SHYZ(r))^(sigma_oH(r)-1) *delta_oH("m",r) *CONP(r) *exp( PRCT(r)-PRCO(r)) ^sigma_oH(r)
Equation 76
For r in regions (10 total):
CNPK(r) = exp(SHYZ(r))^(sigma_oH(r)-1) *delta_oH("k",r) *CONP(r) *exp( PRCT(r)-PRKZ(r)) ^sigma_oH(r)
Equation 77
For g1 in goods_e, r in regions (50 total):
CON(g1,r) = delta_eH(g1,r)*CNPE(r) *exp( PRCE(r)-PRY(g1,r)) ^sigma_eH(r)
Equation 78
For g3 in goods_m, r in regions (70 total):
CON(g3,r) = delta_mH(g3,r)*CNPO(r) *exp( PRCO(r)-PRY(g3,r)) ^sigma_mH(r)
Equation 79
For r in regions (10 total):
PRCT(r) = cd_oH(r) *(delta_oH("k",r)*PRKZ(r) +delta_oH("l",r)*WAGE(r) +delta_oH("e",r)*PRCE(r) +delta_oH("m",r)*PRCO(r) -delta_oH("l",r)*SHLZ(r) -delta_oH("e",r)*SHEFC(r)) +((1-cd_oH(r)) *loge( delta_oH("k",r) *exp(PRKZ(r))^(1-sigma_oH(r)) +delta_oH("l",r) *exp( WAGE(r)-SHLZ(r)) ^(1-sigma_oH(r)) +delta_oH("e",r) *exp( PRCE(r)-SHEFC(r)) ^(1-sigma_oH(r)) +delta_oH("m",r) *exp(PRCO(r))^(1-sigma_oH(r)))) /(1 -sigma_oH(r)*(1-cd_oH(r))) -SHYZ(r)
Equation 80
For r in regions (10 total):
PRCE(r) = cd_eH(r) *sum(g1 in goods_e, delta_eH(g1,r)*PRY(g1,r)) +((1-cd_eH(r)) *loge( sum(g1 in goods_e, delta_eH(g1,r) *exp(PRY(g1,r))^(1-sigma_eH(r))))) /(1 -sigma_eH(r)*(1-cd_eH(r)))
Equation 81
For r in regions (10 total):
PRCO(r) = cd_mH(r) *sum(g3 in goods_m, delta_mH(g3,r)*PRY(g3,r)) +((1-cd_mH(r)) *loge( sum(g3 in goods_m, delta_mH(g3,r) *exp(PRY(g3,r))^(1-sigma_mH(r))))) /(1 -sigma_mH(r)*(1-cd_mH(r)))
Equation 82
For r in regions (10 total):
MONE(r) = PRID(r)+LOGY(r) +int_elast(r)*INTN(r) +SHKM(r)
Equation 83
For r in regions (10 total):
lead(INTL(r)) = INTN(r)
Equation 84
For r in regions (10 total):
lead(INPL(r)) = INPN(r)
Equation 85
For n2 in noteuro (9 total):
INPN(n2) = mrule_r(n2)*INPL(n2) +mrule_ex(n2) *(EXCH(n2)-EXCL(n2) -EXCX(n2)) +mrule_ny(n2) *(INFL(n2)-INFX(n2) +LOGY(n2) -LGYL(n2) -ROGY(n2)) +0.0*mrule_in(n2) *(EPRC(n2)-INFX(n2)) +mrule_in(n2) *(INFL(n2)-INFX(n2)) +0.0*mrule_y(n2) *(EYGR(n2)-ROGY(n2)) +mrule_y(n2) *(YGRO(n2)-ROGY(n2))
Equation 86
For r in regions (10 total):
INTN(r) = INPN(r)+INTX(r)
Equation 87
INPN(e) = mrule_r(e)*INPL(e) +mrule_ex(e) *(EXCH(e)-EXCX(e)) +mrule_ny(e) *(INFL(e)-INFX(e) +LOGY(e) -LGYL(e) -ROGY(e)) +0.0*mrule_in(e) *(EPRC(e)-INFX(e)) +mrule_in(e) *(INFL(e)-INFX(e)) +0.0*mrule_y(e) *(EYGR(e)-ROGY(e)) +mrule_y(e) *(YGRO(e)-ROGY(e))
Equation 88
For r in regions (10 total):
EYGR(r) = lead(LOGY(r))-LOGY(r)
Equation 89
For r in regions (10 total):
EPRC(r) = lead(PRCT(r))-PRCT(r)
Equation 90
For r in regions (10 total):
INTF(r) = INTN(r)-lead(PRID(r)) +PRID(r)
Equation 91
For r in regions (10 total):
INTR(r) = INTF(r)+RISR(r)
Equation 92
For r in regions (10 total):
INFL(r) = PRCT(r)-PRCL(r)
Equation 93
For r in regions (10 total):
INFP(r) = PRID(r)-PRDL(r)
Equation 94
For r in regions (10 total):
lead(PRCL(r)) = PRCT(r)
Equation 95
For r in regions (10 total):
lead(PRDL(r)) = PRID(r)
Equation 96
For r in regions (10 total):
GDPN(r) = exp(PRCT(r))*CONP(r) +exp(PRID(r))*GCET(r) +exp(PRII(r))*INVT(r) +exp(PRID(r))*TBAL(r) +sum(g4 in goods_o, exp(PRII(r))*INS(r,g4))
Equation 97
For r in regions (10 total):
GDPR(r) = CONP(r)+GCET(r) +INVT(r) +TBAL(r) +sum(g4 in goods_o, INS(r,g4))
Equation 98
For r in regions (10 total):
PGDP(r) = loge(GDPN(r))-loge(GDPR(r))
Equation 99
For r in regions (10 total):
GNPR(r) = GDPR(r) +(PBAL(r)+IRAS(r)) /exp(REXN(r))
Equation 100
For r in regions (10 total):
CURN(r) = TBAL(r) +(PBAL(r)+INAS(r)) /exp(REXN(r))
Equation 101
For r in regions (10 total):
CURR(r) = TBAU(r)+PBAL(r) +IRAS(r)
Equation 102
For r in regions (10 total):
WELT(r) = BOND(r) +ASSU(r)/exp(REXN(r)) +(mongdp(r)*exp(MONE(r))) /exp(PRID(r)) +WELH(r) +LAMY(r)*CAPY(r) +LAMZ(r)*CAPZ(r) +sum(s1 in sec_std, STM(s1,r))
Equation 103
For r in regions (10 total):
lead(WELH(r)) = (1+RISW(r)+RISH(r) +INTR(r) -labgrow(r)) *WELH(r) -(TRAN(r)-TAXH(r) -TAXL(r)) -(exp(WAGE(r)) *(IITL(r)+CNPL(r)) +exp(WAGG(r))*GOVL(r) +sum(s1 in sec_std, exp(WAG(s1,r))*LAB(s1,r))) /exp(PRID(r))
Equation 104
For d in dest, g4 in goods_o (120 total):
TXM(g4,d) = sum(o1 in orig, (TIM(g4,d,o1)*MUL(d,o1) +TIF(g4,d)*FTA(d,o1)) *exp(PIM(g4,d,o1)) *IMP(g4,d,o1)) /exp(PRID(d))
Equation 105
For d in dest (10 total):
TAXM(d) = sum(g4 in goods_o, TXM(g4,d))
Equation 106
For r in regions (10 total):
TAXX(r) = sum(g4 in goods_o, TEX(g4,r)*exp(PRS(g4,r)) *EXQ(g4,r)) /exp(PRID(r))
Equation 107
For r in regions (10 total):
TAXT(r) = TAXC(r)+TAXH(r) +TAXL(r) +TAXM(r) +TAXX(r) +TAXE(r)
Equation 108
For r in regions (10 total):
TAXH(r) = (TINC(r) *(exp(WAGE(r)) *(IITL(r)+CNPL(r)) +exp(WAGG(r))*GOVL(r) +sum(s1 in sec_std, exp(WAG(s1,r))*LAB(s1,r)))) /exp(PRID(r)) -(TITCH(r)*exp(PRII(r)) *INVZ(r)) /exp(PRID(r))
Equation 109
For r in regions (10 total):
TRAN(r) = TRANX(r) -transgdp(r)*OUTP(r)
Equation 110
For r in regions (10 total):
WAGG(r) = WAGE(r)
Equation 111
For r in regions (10 total):
GOVT(r) = GCET(r) +GOVL(r) *exp( WAGG(r)-PRID(r))
Equation 112
For r in regions (10 total):
DEFN(r) = GOVT(r)+TRAN(r) -TAXT(r) +INTN(r)*BOND(r)
Equation 113
For r in regions (10 total):
DEFI(r) = DEFX(r)
Equation 114
For r in regions (10 total):
GCET(r) = sum(g4 in goods_o, GCE(g4,r)*exp(PRY(g4,r))) /exp(PRID(r))
Equation 115
For g1 in goods_e, r in regions (50 total):
GCE(g1,r) = (delta_eG(g1,r) *(delta_oG("e",r) /(delta_oG("e",r)+delta_oG("m",r))) *GOVS(r) *exp(PRID(r))) /exp(PRY(g1,r))
Equation 116
For g3 in goods_m, r in regions (70 total):
GCE(g3,r) = (delta_mG(g3,r) *(delta_oG("m",r) /(delta_oG("e",r)+delta_oG("m",r))) *GOVS(r) *exp(PRID(r))) /exp(PRY(g3,r))
Equation 117
For r in regions (10 total):
PRGT(r) = (delta_oG("e",r) /(delta_oG("e",r)+delta_oG("m",r))) *sum(g1 in goods_e, delta_eG(g1,r)*PRY(g1,r)) +(delta_oG("m",r) /(delta_oG("e",r)+delta_oG("m",r))) *sum(g3 in goods_m, delta_mG(g3,r)*PRY(g3,r))
Equation 118
For r in regions (10 total):
lead(BOND(r)) = DEFI(r) +BOND(r)*(1-labgrow(r)) -PBAG(r)
Equation 119
For r in regions (10 total):
SAVI(r) = INVT(r) *exp( PRII(r)-PRID(r)) +CURR(r)/exp(REXN(r)) +DEFI(r)
Equation 120
For r in regions (10 total):
SAVN(r) = INVT(r) *exp( PRII(r)-PRID(r)) +CURN(r) +DEFN(r)
Equation 121
For r in regions (10 total):
SAVT(r) = INVT(r) *exp( PRII(r)-PRID(r)) +CURN(r)
Equation 122
For r in regions (10 total):
TBAL(r) = EXQT(r)-IMQT(r)
Equation 123
For r in regions (10 total):
TBAU(r) = (EXQT(r)-IMQT(r)) *exp(REXN(r))
Equation 124
For r in regions (10 total):
EMIS(r) = 1000 *sum(g in goods, carcoef(g,r)*OUY(g,r)) -1000 *sum(g4 in goods_o, carcoef(g4,r)*EXQ(g4,r))
Equation 125
For r in regions (10 total):
EMIT(r) = EMIS(r)-EMIX(r)
Equation 126
For r in regions (10 total):
ENER(r) = 1000 *sum(g in goods, btucoef(g,r)*OUY(g,r)) -1000 *sum(g4 in goods_o, btucoef(g4,r)*EXQ(g4,r))
Equation 127
For r in regions (10 total):
EMCO(r) = (EMIS(r)*44)/12
Equation 128
EMISZX = sum(A1 in AnnexB, EMIX(A1))
Equation 129
EMISZ = sum(A1 in AnnexB, EMIS(A1))
Equation 130
EMISW = sum(r in regions, EMIS(r))
Equation 131
ENERZ = sum(A1 in AnnexB, ENER(A1))
Equation 132
ENERW = sum(r in regions, ENER(r))
Equation 133
EMCOW = (EMISW*44)/12
Equation 134
EMCOZ = (EMISZ*44)/12
Equation 135
For n4 in notUS (9 total):
EXCH(n4) = REXN(n4)-PRID(n4) +PRID("UU")
Equation 136
For r in regions (10 total):
lead(EXCL(r)) = EXCH(r)
Equation 137
For r in regions (10 total):
lead(REXC(r)) = REXC(r)-INTR(r) +INTR("UU") +EXCR(r)
Equation 138
For r in regions (10 total):
REXN(r) = REXC(r)
Equation 139
lead(REXL(c)) = REXB(c)
Equation 140
REXB(c) = REXL(c)
Equation 141
For d in dest (10 total):
NEER(d) = ( -sum(o1 in orig, eer_weight(d,o1) *(EXCH(o1)-EXCH(d))))
Equation 142
For d in dest (10 total):
REER(d) = ( -sum(o1 in orig, eer_weight(d,o1) *(REXN(o1)-REXN(d))))
Equation 143
For o2 in owner (10 total):
ABUY(o2) = sum(a in abroad, ainv(o2,a)*CURR(a))
Equation 144
For c1 in currency, o2 in owner (100 total):
lead(ASSE(c1,o2)) = ASSE(c1,o2)*(1-labgrow(o2)) +(ashr(c1,o2)*ABUY(o2) +aeye(c1,o2) *(CURR(o2)-ABUY(o2))) /exp(REXN(c1))
Equation 145
For o2 in owner (10 total):
ASSU(o2) = sum(c1 in currency, exp(REXN(c1))*ASSE(c1,o2))
Equation 146
For g2 in goods_g, r in regions (80 total):
OUY(g2,r) = ELE(g2,r)
Equation 147
For g2 in goods_g, r in regions (80 total):
OUG(g2,r) = OUY(g2,r)
Equation 148
For g2 in goods_g, r in regions (80 total):
ELE(g2,r) = exp(SHY("a01",r))^(sigma_ed(r)-1) *delta_ed(r,g2) *OUP("a01",r) *(exp(PRP("a01",r)) /(exp(PRY(g2,r)) -gwhcoef(g2,r)*credfac(g2,r) *PCEC(r) +RATEFEE(g2,r))) ^sigma_ed(r)
Equation 149
For g2 in goods_g, r in regions (80 total):
PRS(g2,r) = PRD(g2,r)
Equation 150
For r in regions (10 total):
PED(r) = cd_ed(r) *sum(g2 in goods_g, delta_ed(r,g2) *loge( exp( PRY(g2,r) -gwhcoef(g2,r)*credfac(g2,r) *PCEC(r) +RATEFEE(g2,r)))) +((1-cd_ed(r)) *loge( sum(g2 in goods_g, delta_ed(r,g2) *(exp(PRY(g2,r)) -gwhcoef(g2,r)*credfac(g2,r) *PCEC(r) +RATEFEE(g2,r)) ^(1-sigma_ed(r))))) /(1 -sigma_ed(r)*(1-cd_ed(r))) -SHY("a01",r)
Equation 151
For r in regions (10 total):
PRP("a01",r) = loge( exp(PED(r)) +(PCEC(r)*GWHC(r)) /OUP("a01",r))
Equation 152
For r in regions (10 total):
GWHA(r) = sum(g in goods, gwhcoef(g,r)*OUG(g,r))
Equation 153
For r in regions (10 total):
GWHC(r) = sum(g in goods, credfac(g,r)*gwhcoef(g,r) *OUG(g,r))
Equation 154
For r in regions (10 total):
CSHR(r) = GWHC(r)/GWHA(r)
Equation 155
For r in regions (10 total):
EDRC(r) = sum(g2 in goods_g, (CO2RATE(g2,r)-CO2TAR(r)) *gwhcoef(g2,r) *OUG(g2,r))
Equation 156
For r in regions (10 total):
GENCO2("a13",r) = (EN("a13","g04",r)*carcoef("g04",r) *1000 *44) /12
Equation 157
For r in regions (10 total):
GENCO2("a14",r) = (EN("a14","g02",r)*carcoef("g02",r) *1000 *44) /12
Equation 158
For r in regions (10 total):
GENCO2("a15",r) = ((EN("a15","g05",r) +(EN("a03","g05",r)*EN("a15","g03",r)) /OUY("g03",r)) *carcoef("g05",r) *1000 *44) /12
Equation 159
For r in regions (10 total):
GENRATE(r) = (sum(f1 in fgen, GENCO2(f1,r)) *2205 *1000) /GWHA(r)
Equation 160
For g1 in goods_e, r in regions, s1 in sec_std (950 total):
PRT(s1,g1,r) = loge( exp(PRS(g1,r))*(1+TAX(g1,r)) +TXGS(s1,g1,r))
Equation 161
For g1 in goods_e, r in regions, s1 in sec_std (950 total):
EN(s1,g1,r) = delta_e(r,s1,g1)*ENT(s1,r) *exp( PRE(s1,r)-PRT(s1,g1,r)) ^sigma_e(s1,r)
Equation 162
For g3 in goods_m, r in regions, s1 in sec_std (1330 total):
OI(s1,g3,r) = delta_m(r,s1,g3)*OIN(s1,r) *exp( POI(s1,r)-PRY(g3,r)) ^sigma_m(s1,r)
Equation 163
For r in regions, s1 in sec_std (190 total):
PRE(s1,r) = cd_e(s1,r) *sum(g1 in goods_e, delta_e(r,s1,g1)*PRT(s1,g1,r)) +((1-cd_e(s1,r)) *loge( sum(g1 in goods_e, delta_e(r,s1,g1) *exp(PRT(s1,g1,r))^(1-sigma_e(s1,r))))) /(1 -sigma_e(s1,r)*(1-cd_e(s1,r)))
Equation 164
For r in regions, s1 in sec_std (190 total):
POI(s1,r) = cd_m(s1,r) *sum(g3 in goods_m, delta_m(r,s1,g3)*PRY(g3,r)) +((1-cd_m(s1,r)) *loge( sum(g3 in goods_m, delta_m(r,s1,g3) *exp(PRY(g3,r))^(1-sigma_m(s1,r))))) /(1 -sigma_m(s1,r)*(1-cd_m(s1,r)))
Equation 165
For r in regions (10 total):
TAXC(r) = TCOR(r) *(sum(s1 in sec_std, PRF(s1,r)) +PRFY(r)) +sum(g in goods, TAX(g,r)*exp(PRD(g,r)) *OUG(g,r)) /exp(PRID(r)) +sum(g4 in goods_o, TAX(g4,r)*exp(PMR(g4,r)) *IMQ(g4,r)) /exp(PRID(r)) -sum(s1 in sec_std, TITC(s1,r)*exp(PRII(r)) *INV(s1,r)) /exp(PRID(r)) -sum(g4 in goods_o, TAX(g4,r)*exp(PRS(g4,r)) *EXQ(g4,r)) /exp(PRID(r)) +RVGS(r)
Equation 166
For r in regions (10 total):
TAXL(r) = GOVT(r)+TRAN(r) -DEFI(r) +INTR(r)*BOND(r) -TAXC(r) -TAXH(r) -TAXE(r) -TAXM(r) -TAXX(r)