Equation 1:
EXCH
\[ \href{#EXCH}{EXCH(\text{USA})} = 0 \]
Equation 2:
OUY
For
g21 in
goods_e,
r1 in
regions (10 total):
\[ \href{#OUY}{OUY(g21,r1)} = ln{ \left(
exp{ \left(\href{#CON}{CON(g21,r1)}\right) }
+exp{ \left(\href{#IIN}{IIN(g21,r1)}\right) }
+\href{#INS}{INS(r1,g21)}
+exp{ \left(\href{#GCE}{GCE(g21,r1)}\right) }
+exp{ \left(\href{#EXQ}{EXQ(g21,r1)}\right) }
+\sum_{s1 \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(exp{ \left(\href{#EN}{EN(s1,g21,r1)}\right) }\right) }\right) } \]
Equation 3:
OUY
For
g24 in
goods_mc,
r1 in
regions (12 total):
\[ \href{#OUY}{OUY(g24,r1)} = ln{ \left(
exp{ \left(\href{#CON}{CON(g24,r1)}\right) }
+exp{ \left(\href{#IIN}{IIN(g24,r1)}\right) }
+\href{#INS}{INS(r1,g24)}
+exp{ \left(\href{#GCE}{GCE(g24,r1)}\right) }
+exp{ \left(\href{#EXQ}{EXQ(g24,r1)}\right) }
+\sum_{s1 \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(exp{ \left(\href{#OI}{OI(s1,g24,r1)}\right) }\right) }\right) } \]
Equation 4:
OUY
For
g3 in
good_durable_manufacturing,
r1 in
regions (2 total):
\[ \href{#OUY}{OUY(g3,r1)} = ln{ \left(
exp{ \left(\href{#IIN}{IIN(g3,r1)}\right) }
+\href{#INS}{INS(r1,g3)}
+exp{ \left(\href{#GCE}{GCE(g3,r1)}\right) }
+exp{ \left(\href{#EXQ}{EXQ(g3,r1)}\right) }
+\sum_{s1 \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(exp{ \left(\href{#OI}{OI(s1,g3,r1)}\right) }\right) }\right) } \]
Equation 5:
IMQ
For
g26 in
goods_o,
r1 in
regions (24 total):
\[ \href{#IMQ}{IMQ(g26,r1)} = ln{ \left(1-\href{#delta_dom}{delta\_dom(g26,r1)}\right) }
+\href{#OUY}{OUY(g26,r1)}
+\href{#sigma_df}{sigma\_df(g26,r1)}
*{(\href{#PRS}{PRS(g26,r1)}-\href{#PMR}{PMR(g26,r1)})} \]
Equation 6:
PIM
For
d in
dest,
g26 in
goods_o,
o in
orig (48 total):
\[ \href{#PIM}{PIM(g26,d,o)} = \href{#EXCH}{EXCH(o)}+\href{#PRX}{PRX(g26,o)}
-\href{#EXCH}{EXCH(d)} \]
Equation 7:
IMP
For
d in
dest,
g26 in
goods_o,
o in
orig (48 total):
\[ \href{#IMP}{IMP(g26,d,o)} = ln{ \left(
\href{#delta_ff}{delta\_ff(g26,d,o)}
*exp{ \left(\href{#IMQ}{IMQ(g26,d)}\right) }
*{(\href{#carcoef}{carcoef(g26,d)}*\href{#TCP}{TCP(g26,d)}
+\href{#btucoef}{btucoef(g26,d)}*\href{#TBFI}{TBFI(d)}
+\href{#BCT}{BCT(g26,d,o)}
+{(1
+{(\href{#TIM}{TIM(g26,d,o)}+\href{#TIX}{TIX(g26,d)})}
*\href{#MUL}{MUL(d,o)}
+\href{#TIF}{TIF(g26,d)}*\href{#FTA}{FTA(d,o)})}
*exp{ \left(
\href{#PIM}{PIM(g26,d,o)}-\href{#PMR}{PMR(g26,d)}\right) })}
^{(-\href{#sigma_ff}{sigma\_ff(g26,d)})}
+\href{#IMPX}{IMPX(g26,d,o)}\right) } \]
Equation 8:
PMQ
For
d in
dest,
g26 in
goods_o (24 total):
\[ \href{#PMQ}{PMQ(g26,d)} = ln{ \left(
\sum_{o \; \text{in} \; \href{#orig}{orig}} { \left(exp{ \left(
\href{#IMP}{IMP(g26,d,o)}+\href{#PIM}{PIM(g26,d,o)}\right) }\right) }\right) }
-\href{#IMQ}{IMQ(g26,d)} \]
Equation 9:
IMQT
For
r1 in
regions (2 total):
\[ \href{#IMQT}{IMQT(r1)} = ln{ \left(
\sum_{g26 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(exp{ \left(
\href{#PMQ}{PMQ(g26,r1)}+\href{#IMQ}{IMQ(g26,r1)}\right) }\right) }\right) }
-\href{#PRIM}{PRIM(r1)} \]
Equation 10:
EXQT
For
r1 in
regions (2 total):
\[ \href{#EXQT}{EXQT(r1)} = ln{ \left(
\sum_{g26 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(exp{ \left(
\href{#PRX}{PRX(g26,r1)}+\href{#EXQ}{EXQ(g26,r1)}\right) }\right) }\right) }
-\href{#PRIX}{PRIX(r1)} \]
Equation 11:
EXQ
For
g26 in
goods_o,
o in
orig (24 total):
\[ \href{#EXQ}{EXQ(g26,o)} = ln{ \left(
\sum_{d \; \text{in} \; \href{#dest}{dest}} { \left(exp{ \left(\href{#IMP}{IMP(g26,d,o)}\right) }\right) }\right) } \]
Equation 12:
PRX
For
g26 in
goods_o,
r1 in
regions (24 total):
\[ \href{#PRX}{PRX(g26,r1)} = ln{ \left(
{(1+\href{#TEX}{TEX(g26,r1)})}
*exp{ \left(\href{#PRS}{PRS(g26,r1)}\right) }
-\href{#carcoef}{carcoef(g26,r1)}*\href{#TCP}{TCP(g26,r1)}
+\href{#btucoef}{btucoef(g26,r1)}*\href{#TBFX}{TBFX(r1)}\right) } \]
Equation 13:
OUG
For
g26 in
goods_o,
r1 in
regions (24 total):
\[ \href{#OUG}{OUG(g26,r1)} = ln{ \left(\href{#delta_dom}{delta\_dom(g26,r1)}\right) }
+\href{#OUY}{OUY(g26,r1)}
+\href{#sigma_df}{sigma\_df(g26,r1)}
*{(\href{#PRS}{PRS(g26,r1)}-\href{#PRD}{PRD(g26,r1)})} \]
Equation 14:
OUP
For
r1 in
regions,
s23 in
sectors (40 total):
\[ \href{#OUP}{OUP(s23,r1)} = ln{ \left(
\sum_{g20 \; \text{in} \; \href{#goods}{goods}} { \left(\href{#makeinv}{makeinv(g20,s23,r1)}
*exp{ \left(\href{#OUG}{OUG(g20,r1)}\right) }\right) }\right) } \]
Equation 15:
LAB
For
r1 in
regions,
s1 in
sec_std (38 total):
\[ \href{#LAB}{LAB(s1,r1)} = {(\href{#sigma_o}{sigma\_o(s1,r1)}-1)}
*{(\href{#SHL}{SHL(r1,s1)}+\href{#SHY}{SHY(s1,r1)})}
+ln{ \left(
\href{#delta_o}{delta\_o(\text{l},s1,r1)}\right) }
+\href{#OUP}{OUP(s1,r1)}
+\href{#sigma_o}{sigma\_o(s1,r1)}
*{(\href{#PRP}{PRP(s1,r1)}-\href{#WAG}{WAG(s1,r1)})} \]
Equation 16:
ENT
For
r1 in
regions,
s1 in
sec_std (38 total):
\[ \href{#ENT}{ENT(s1,r1)} = {(\href{#sigma_o}{sigma\_o(s1,r1)}-1)}
*{(\href{#SHEF}{SHEF(s1,r1)}+\href{#SHY}{SHY(s1,r1)})}
+ln{ \left(
\href{#delta_o}{delta\_o(\text{e},s1,r1)}\right) }
+\href{#OUP}{OUP(s1,r1)}
+\href{#sigma_o}{sigma\_o(s1,r1)}
*{(\href{#PRP}{PRP(s1,r1)}-\href{#PRE}{PRE(s1,r1)})} \]
Equation 17:
OIN
For
r1 in
regions,
s1 in
sec_std (38 total):
\[ \href{#OIN}{OIN(s1,r1)} = {(\href{#sigma_o}{sigma\_o(s1,r1)}-1)}*\href{#SHY}{SHY(s1,r1)}
+ln{ \left(
\href{#delta_o}{delta\_o(\text{m},s1,r1)}\right) }
+\href{#OUP}{OUP(s1,r1)}
+\href{#sigma_o}{sigma\_o(s1,r1)}
*{(\href{#PRP}{PRP(s1,r1)}-\href{#POI}{POI(s1,r1)})} \]
Equation 18:
IITL
For
r1 in
regions (2 total):
\[ \href{#IITL}{IITL(r1)} = {(\href{#sigma_oR}{sigma\_oR(r1)}-1)}
*{(\href{#SHLY}{SHLY(r1)}+\href{#SHYY}{SHYY(r1)})}
+ln{ \left(\href{#delta_oR}{delta\_oR(\text{l},r1)}\right) }
+\href{#INVT}{INVT(r1)}
+\href{#sigma_oR}{sigma\_oR(r1)}
*{(\href{#PRII}{PRII(r1)}-\href{#WAGE}{WAGE(r1)})} \]
Equation 19:
IITE
For
r1 in
regions (2 total):
\[ \href{#IITE}{IITE(r1)} = {(\href{#sigma_oR}{sigma\_oR(r1)}-1)}*\href{#SHYY}{SHYY(r1)}
+ln{ \left(\href{#delta_oR}{delta\_oR(\text{e},r1)}\right) }
+\href{#INVT}{INVT(r1)}
+\href{#sigma_oR}{sigma\_oR(r1)}
*{(\href{#PRII}{PRII(r1)}-\href{#PRIE}{PRIE(r1)})} \]
Equation 20:
IITO
For
r1 in
regions (2 total):
\[ \href{#IITO}{IITO(r1)} = {(\href{#sigma_oR}{sigma\_oR(r1)}-1)}*\href{#SHYY}{SHYY(r1)}
+ln{ \left(\href{#delta_oR}{delta\_oR(\text{m},r1)}\right) }
+\href{#INVT}{INVT(r1)}
+\href{#sigma_oR}{sigma\_oR(r1)}
*{(\href{#PRII}{PRII(r1)}-\href{#PROI}{PROI(r1)})} \]
Equation 21:
IIN
For
g21 in
goods_e,
r1 in
regions (10 total):
\[ \href{#IIN}{IIN(g21,r1)} = ln{ \left(\href{#delta_eR}{delta\_eR(g21,r1)}\right) }
+\href{#IITE}{IITE(r1)}
+\href{#sigma_eR}{sigma\_eR(r1)}
*{(\href{#PRIE}{PRIE(r1)}-\href{#PRY}{PRY(g21,r1)})} \]
Equation 22:
IIN
For
g23 in
goods_m,
r1 in
regions (14 total):
\[ \href{#IIN}{IIN(g23,r1)} = ln{ \left(\href{#delta_mR}{delta\_mR(g23,r1)}\right) }
+\href{#IITO}{IITO(r1)}
+\href{#sigma_mR}{sigma\_mR(r1)}
*{(\href{#PROI}{PROI(r1)}-\href{#PRY}{PRY(g23,r1)})} \]
Equation 23:
LABO
For
r1 in
regions (2 total):
\[ \href{#LABO}{LABO(r1)} = ln{ \left(
exp{ \left(\href{#IITL}{IITL(r1)}\right) }
+exp{ \left(\href{#CNPL}{CNPL(r1)}\right) }
+\href{#GOVL}{GOVL(r1)}
+\sum_{s1 \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(exp{ \left(\href{#LAB}{LAB(s1,r1)}\right) }\right) }\right) } \]
Equation 24:
PRS
For
g26 in
goods_o,
r1 in
regions (24 total):
\[ \href{#PRS}{PRS(g26,r1)} = \href{#cd_df}{cd\_df(g26,r1)}
*{(\href{#delta_dom}{delta\_dom(g26,r1)}*\href{#PRD}{PRD(g26,r1)}
+{(1-\href{#delta_dom}{delta\_dom(g26,r1)})}
*\href{#PMR}{PMR(g26,r1)})}
+\frac{{({(1-\href{#cd_df}{cd\_df(g26,r1)})}
*ln{ \left(
\href{#delta_dom}{delta\_dom(g26,r1)}
*exp{ \left(\href{#PRD}{PRD(g26,r1)}\right) }
^{(1-\href{#sigma_df}{sigma\_df(g26,r1)})}
+{(1-\href{#delta_dom}{delta\_dom(g26,r1)})}
*exp{ \left(\href{#PMR}{PMR(g26,r1)}\right) }
^{(1-\href{#sigma_df}{sigma\_df(g26,r1)})}\right) })}}{{(1
-\href{#sigma_df}{sigma\_df(g26,r1)}*{(1-\href{#cd_df}{cd\_df(g26,r1)})})}} \]
Equation 25:
PRY
For
g20 in
goods,
r1 in
regions (40 total):
\[ \href{#PRY}{PRY(g20,r1)} = ln{ \left(1+\href{#TAX}{TAX(g20,r1)}\right) }
+\href{#PRS}{PRS(g20,r1)} \]
Equation 26:
PMR
For
d in
dest,
g26 in
goods_o (24 total):
\[ \href{#PMR}{PMR(g26,d)} = 0.0
+\href{#cd_ff}{cd\_ff(g26,d)}
*\sum_{o \; \text{in} \; \href{#orig}{orig}} { \left(\href{#delta_ff}{delta\_ff(g26,d,o)}
*ln{ \left(
\href{#carcoef}{carcoef(g26,d)}*\href{#TCP}{TCP(g26,d)}
+\href{#btucoef}{btucoef(g26,d)}*\href{#TBFI}{TBFI(d)}
+\href{#BCT}{BCT(g26,d,o)}
+{(1
+{(\href{#TIM}{TIM(g26,d,o)}+\href{#TIX}{TIX(g26,d)})}
*\href{#MUL}{MUL(d,o)}
+\href{#TIF}{TIF(g26,d)}*\href{#FTA}{FTA(d,o)})}
*exp{ \left(\href{#PIM}{PIM(g26,d,o)}\right) }\right) }\right) }
+\frac{{({(1-\href{#cd_ff}{cd\_ff(g26,d)})}
*ln{ \left(
\sum_{o \; \text{in} \; \href{#orig}{orig}} { \left(\href{#delta_ff}{delta\_ff(g26,d,o)}
*{(\href{#carcoef}{carcoef(g26,d)}*\href{#TCP}{TCP(g26,d)}
+\href{#btucoef}{btucoef(g26,d)}*\href{#TBFI}{TBFI(d)}
+\href{#BCT}{BCT(g26,d,o)}
+{(1
+{(\href{#TIM}{TIM(g26,d,o)}+\href{#TIX}{TIX(g26,d)})}
*\href{#MUL}{MUL(d,o)}
+\href{#TIF}{TIF(g26,d)}*\href{#FTA}{FTA(d,o)})}
*exp{ \left(\href{#PIM}{PIM(g26,d,o)}\right) })}
^{(1-\href{#sigma_ff}{sigma\_ff(g26,d)})}\right) }\right) })}}{{(1
-\href{#sigma_ff}{sigma\_ff(g26,d)}*{(1-\href{#cd_ff}{cd\_ff(g26,d)})})}} \]
Equation 27:
PRIM
For
r1 in
regions (2 total):
\[ \href{#PRIM}{PRIM(r1)} = \sum_{g26 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(\href{#prim_weight}{prim\_weight(g26,r1)}
*\href{#PMQ}{PMQ(g26,r1)}\right) } \]
Equation 28:
PRIE
For
r1 in
regions (2 total):
\[ \href{#PRIE}{PRIE(r1)} = \href{#cd_eR}{cd\_eR(r1)}
*\sum_{g21 \; \text{in} \; \href{#goods_e}{goods\_e}} { \left(\href{#delta_eR}{delta\_eR(g21,r1)}*\href{#PRY}{PRY(g21,r1)}\right) }
+\frac{{({(1-\href{#cd_eR}{cd\_eR(r1)})}
*ln{ \left(
\sum_{g21 \; \text{in} \; \href{#goods_e}{goods\_e}} { \left(\href{#delta_eR}{delta\_eR(g21,r1)}
*exp{ \left(\href{#PRY}{PRY(g21,r1)}\right) }
^{(1-\href{#sigma_eR}{sigma\_eR(r1)})}\right) }\right) })}}{{(1
-\href{#sigma_eR}{sigma\_eR(r1)}*{(1-\href{#cd_eR}{cd\_eR(r1)})})}} \]
Equation 29:
PROI
For
r1 in
regions (2 total):
\[ \href{#PROI}{PROI(r1)} = \href{#cd_mR}{cd\_mR(r1)}
*\sum_{g23 \; \text{in} \; \href{#goods_m}{goods\_m}} { \left(\href{#delta_mR}{delta\_mR(g23,r1)}*\href{#PRY}{PRY(g23,r1)}\right) }
+\frac{{({(1-\href{#cd_mR}{cd\_mR(r1)})}
*ln{ \left(
\sum_{g23 \; \text{in} \; \href{#goods_m}{goods\_m}} { \left(\href{#delta_mR}{delta\_mR(g23,r1)}
*exp{ \left(\href{#PRY}{PRY(g23,r1)}\right) }
^{(1-\href{#sigma_mR}{sigma\_mR(r1)})}\right) }\right) })}}{{(1
-\href{#sigma_mR}{sigma\_mR(r1)}*{(1-\href{#cd_mR}{cd\_mR(r1)})})}} \]
Equation 30:
PRD
For
g20 in
goods,
r1 in
regions (40 total):
\[ \href{#PRD}{PRD(g20,r1)} = ln{ \left(
exp{ \left(
\sum_{s23 \; \text{in} \; \href{#sectors}{sectors}} { \left(\href{#makeinv}{makeinv(g20,s23,r1)}*\href{#PRP}{PRP(s23,r1)}\right) }\right) }
+\href{#carcoef}{carcoef(g20,r1)}*\href{#TCP}{TCP(g20,r1)}
+\href{#btucoef}{btucoef(g20,r1)}*\href{#TBFD}{TBFD(r1)}\right) } \]
Equation 31:
PRP
For
r1 in
regions,
s1 in
sec_std (38 total):
\[ \href{#PRP}{PRP(s1,r1)} = \href{#cd_o}{cd\_o(s1,r1)}
*{(\href{#delta_o}{delta\_o(\text{k},s1,r1)}
*\href{#PRK}{PRK(s1,r1)}
+\href{#delta_o}{delta\_o(\text{l},s1,r1)}
*\href{#WAG}{WAG(s1,r1)}
+\href{#delta_o}{delta\_o(\text{e},s1,r1)}
*\href{#PRE}{PRE(s1,r1)}
+\href{#delta_o}{delta\_o(\text{m},s1,r1)}
*\href{#POI}{POI(s1,r1)}
-\href{#delta_o}{delta\_o(\text{l},s1,r1)}
*\href{#SHL}{SHL(r1,s1)}
-\href{#delta_o}{delta\_o(\text{k},s1,r1)}
*\href{#SHK}{SHK(s1,r1)}
-\href{#delta_o}{delta\_o(\text{e},s1,r1)}
*\href{#SHEF}{SHEF(s1,r1)})}
+\frac{{({(1-\href{#cd_o}{cd\_o(s1,r1)})}
*ln{ \left(
\href{#delta_o}{delta\_o(\text{k},s1,r1)}
*exp{ \left(
\href{#PRK}{PRK(s1,r1)}-\href{#SHK}{SHK(s1,r1)}\right) }
^{(1-\href{#sigma_o}{sigma\_o(s1,r1)})}
+\href{#delta_o}{delta\_o(\text{l},s1,r1)}
*exp{ \left(
\href{#WAG}{WAG(s1,r1)}-\href{#SHL}{SHL(r1,s1)}\right) }
^{(1-\href{#sigma_o}{sigma\_o(s1,r1)})}
+\href{#delta_o}{delta\_o(\text{e},s1,r1)}
*exp{ \left(
\href{#PRE}{PRE(s1,r1)}-\href{#SHEF}{SHEF(s1,r1)}\right) }
^{(1-\href{#sigma_o}{sigma\_o(s1,r1)})}
+\href{#delta_o}{delta\_o(\text{m},s1,r1)}
*exp{ \left(\href{#POI}{POI(s1,r1)}\right) }
^{(1-\href{#sigma_o}{sigma\_o(s1,r1)})}\right) })}}{{(1
-\href{#sigma_o}{sigma\_o(s1,r1)}*{(1-\href{#cd_o}{cd\_o(s1,r1)})})}}
-\href{#SHY}{SHY(s1,r1)} \]
Equation 32:
PRII
For
r1 in
regions (2 total):
\[ \href{#PRII}{PRII(r1)} = \href{#cd_oR}{cd\_oR(r1)}
*{(\href{#delta_oR}{delta\_oR(\text{k},r1)}*\href{#PRKY}{PRKY(r1)}
+\href{#delta_oR}{delta\_oR(\text{l},r1)}*\href{#WAGE}{WAGE(r1)}
+\href{#delta_oR}{delta\_oR(\text{e},r1)}*\href{#PRIE}{PRIE(r1)}
+\href{#delta_oR}{delta\_oR(\text{m},r1)}*\href{#PROI}{PROI(r1)}
-\href{#delta_oR}{delta\_oR(\text{l},r1)}*\href{#SHLY}{SHLY(r1)})}
+\frac{{({(1-\href{#cd_oR}{cd\_oR(r1)})}
*ln{ \left(
\href{#delta_oR}{delta\_oR(\text{k},r1)}
*exp{ \left(\href{#PRKY}{PRKY(r1)}\right) }
^{(1-\href{#sigma_oR}{sigma\_oR(r1)})}
+\href{#delta_oR}{delta\_oR(\text{l},r1)}
*exp{ \left(
\href{#WAGE}{WAGE(r1)}-\href{#SHLY}{SHLY(r1)}\right) }
^{(1-\href{#sigma_oR}{sigma\_oR(r1)})}
+\href{#delta_oR}{delta\_oR(\text{e},r1)}
*exp{ \left(\href{#PRIE}{PRIE(r1)}\right) }
^{(1-\href{#sigma_oR}{sigma\_oR(r1)})}
+\href{#delta_oR}{delta\_oR(\text{m},r1)}
*exp{ \left(\href{#PROI}{PROI(r1)}\right) }
^{(1-\href{#sigma_oR}{sigma\_oR(r1)})}\right) })}}{{(1
-\href{#sigma_oR}{sigma\_oR(r1)}*{(1-\href{#cd_oR}{cd\_oR(r1)})})}}
-\href{#SHYY}{SHYY(r1)} \]
Equation 33:
PRK
For
r1 in
regions,
s1 in
sec_std (38 total):
\[ \href{#PRK}{PRK(s1,r1)} = \href{#PRP}{PRP(s1,r1)}
+\frac{{(ln{ \left(
\href{#delta_o}{delta\_o(\text{k},s1,r1)}\right) }
+\href{#OUP}{OUP(s1,r1)}
-\href{#CAP}{CAP(s1,r1)})}}{\href{#sigma_o}{sigma\_o(s1,r1)}}
+\frac{{({(\href{#SHY}{SHY(s1,r1)}+\href{#SHK}{SHK(s1,r1)})}
*{(\href{#sigma_o}{sigma\_o(s1,r1)}-1)})}}{\href{#sigma_o}{sigma\_o(s1,r1)}} \]
Equation 34:
PRKY
For
r1 in
regions (2 total):
\[ \href{#PRKY}{PRKY(r1)} = \href{#PRII}{PRII(r1)}
+\frac{{(ln{ \left(\href{#delta_oR}{delta\_oR(\text{k},r1)}\right) }
+\href{#INVT}{INVT(r1)}
-\href{#CAPY}{CAPY(r1)})}}{\href{#sigma_oR}{sigma\_oR(r1)}}
+\frac{{(\href{#SHYY}{SHYY(r1)}*{(\href{#sigma_oR}{sigma\_oR(r1)}-1)})}}{\href{#sigma_oR}{sigma\_oR(r1)}} \]
Equation 35:
PRKZ
For
r1 in
regions (2 total):
\[ \href{#PRKZ}{PRKZ(r1)} = \href{#PRCT}{PRCT(r1)}
+\frac{{(ln{ \left(\href{#delta_oH}{delta\_oH(\text{k},r1)}\right) }
+\href{#CONP}{CONP(r1)}
-\href{#CAPZ}{CAPZ(r1)})}}{\href{#sigma_oH}{sigma\_oH(r1)}}
+\frac{{(\href{#SHYZ}{SHYZ(r1)}*{(\href{#sigma_oH}{sigma\_oH(r1)}-1)})}}{\href{#sigma_oH}{sigma\_oH(r1)}} \]
Equation 36:
WAGE
For
r1 in
regions (2 total):
\[ lead({\href{#WAGE}{WAGE(r1)}}) = \href{#WAGE}{WAGE(r1)}
+\href{#wage_p}{wage\_p(r1)}
*{(lead({\href{#PRCT}{PRCT(r1)}})+\href{#PRXX}{PRXX(r1)}
-\href{#PRCT}{PRCT(r1)})}
+{(1-\href{#wage_p}{wage\_p(r1)})}
*{(\href{#PRCT}{PRCT(r1)}-\href{#PRCL}{PRCL(r1)})}
+\href{#wage_q}{wage\_q(r1)}*\href{#LABO}{LABO(r1)} \]
Equation 37:
WAGG
For
r1 in
regions (2 total):
\[ \href{#WAGG}{WAGG(r1)} = \href{#WAGE}{WAGE(r1)} \]
Equation 38:
WAG
For
r1 in
regions,
s1 in
sec_std (38 total):
\[ \href{#WAG}{WAG(s1,r1)} = \href{#WAGE}{WAGE(r1)} \]
Equation 39:
CAP
For
r1 in
regions,
s1 in
sec_std (38 total):
\[ lead({\href{#CAP}{CAP(s1,r1)}}) = ln{ \left(
exp{ \left(\href{#JNV}{JNV(s1,r1)}\right) }
+{(1-\href{#delta}{delta(r1)}-\href{#labgrow}{labgrow(r1)})}
*exp{ \left(\href{#CAP}{CAP(s1,r1)}\right) }\right) } \]
Equation 40:
CAPY
For
r1 in
regions (2 total):
\[ lead({\href{#CAPY}{CAPY(r1)}}) = ln{ \left(
exp{ \left(\href{#JNVY}{JNVY(r1)}\right) }
+{(1-\href{#delta}{delta(r1)}-\href{#labgrow}{labgrow(r1)})}
*exp{ \left(\href{#CAPY}{CAPY(r1)}\right) }\right) } \]
Equation 41:
CAPZ
For
r1 in
regions (2 total):
\[ lead({\href{#CAPZ}{CAPZ(r1)}}) = ln{ \left(
exp{ \left(\href{#JNVZ}{JNVZ(r1)}\right) }
+{(1-\href{#delta}{delta(r1)}-\href{#labgrow}{labgrow(r1)})}
*exp{ \left(\href{#CAPZ}{CAPZ(r1)}\right) }\right) } \]
Equation 42:
INV
For
r1 in
regions,
s1 in
sec_std (38 total):
\[ \href{#INV}{INV(s1,r1)} = ln{ \left(
\frac{{({(1
+0.5
*{(exp{ \left(\href{#TOB}{TOB(s1,r1)}\right) }
-1)})}
*{(exp{ \left(\href{#TOB}{TOB(s1,r1)}\right) }
-1)}
*exp{ \left(\href{#CAP}{CAP(s1,r1)}\right) })}}{\href{#phi}{phi(s1,r1)}}
*\href{#forei}{forei(s1,r1)}
+\frac{{({(1
+0.5
*{(exp{ \left(\href{#TPA}{TPA(s1,r1)}\right) }
-1)})}
*{(exp{ \left(\href{#TPA}{TPA(s1,r1)}\right) }
-1)}
*exp{ \left(\href{#CAP}{CAP(s1,r1)}\right) })}}{\href{#phi}{phi(s1,r1)}}
*{(1-\href{#forei}{forei(s1,r1)})}
+\href{#SHKI}{SHKI(r1,s1)}\right) } \]
Equation 43:
JNV
For
r1 in
regions,
s1 in
sec_std (38 total):
\[ \href{#JNV}{JNV(s1,r1)} = ln{ \left(
exp{ \left(\href{#INV}{INV(s1,r1)}\right) }
+\frac{\href{#phi}{phi(s1,r1)}}{2}*\href{#base_jk}{base\_jk(s1,r1)}^2
*exp{ \left(\href{#CAP}{CAP(s1,r1)}\right) }\right) }
-ln{ \left(
1
+\href{#phi}{phi(s1,r1)}*\href{#base_jk}{base\_jk(s1,r1)}\right) } \]
Equation 44:
INVY
For
r1 in
regions (2 total):
\[ \href{#INVY}{INVY(r1)} = \href{#JNVY}{JNVY(r1)}
+ln{ \left(
1
+\frac{\href{#phi_y}{phi\_y(r1)}}{2}
*exp{ \left(
\href{#JNVY}{JNVY(r1)}-\href{#CAPY}{CAPY(r1)}\right) }\right) } \]
Equation 45:
INVZ
For
r1 in
regions (2 total):
\[ \href{#INVZ}{INVZ(r1)} = \href{#JNVZ}{JNVZ(r1)}
+ln{ \left(
1
+\frac{\href{#phi_z}{phi\_z(r1)}}{2}
*exp{ \left(
\href{#JNVZ}{JNVZ(r1)}-\href{#CAPZ}{CAPZ(r1)}\right) }\right) } \]
Equation 46:
JNVY
For
r1 in
regions (2 total):
\[ \href{#JNVY}{JNVY(r1)} = \href{#CAPY}{CAPY(r1)}
+ln{ \left(
\href{#fore_i_y}{fore\_i\_y(r1)}
*exp{ \left(\href{#TOBY}{TOBY(r1)}\right) }
+{(1-\href{#fore_i_y}{fore\_i\_y(r1)})}
*exp{ \left(\href{#TPAY}{TPAY(r1)}\right) }
-1\right) }
-ln{ \left(\href{#phi_y}{phi\_y(r1)}\right) } \]
Equation 47:
JNVZ
For
r1 in
regions (2 total):
\[ \href{#JNVZ}{JNVZ(r1)} = \href{#CAPZ}{CAPZ(r1)}
+ln{ \left(
\href{#fore_i_z}{fore\_i\_z(r1)}
*exp{ \left(\href{#TOBZ}{TOBZ(r1)}\right) }
+{(1-\href{#fore_i_z}{fore\_i\_z(r1)})}
*exp{ \left(\href{#TPAZ}{TPAZ(r1)}\right) }
-1\right) }
-ln{ \left(\href{#phi_z}{phi\_z(r1)}\right) } \]
Equation 48:
LAM
For
r1 in
regions,
s1 in
sec_std (38 total):
\[ lead({\href{#LAM}{LAM(s1,r1)}}) = ln{ \left(
{(1+\href{#INTR}{INTR(r1)}+\href{#RISE}{RISE(s1,r1)}
+\href{#delta}{delta(r1)})}
*exp{ \left(\href{#LAM}{LAM(s1,r1)}\right) }
-{(1-\href{#TCOR}{TCOR(r1)})}
*exp{ \left(
\href{#PRK}{PRK(s1,r1)}-\href{#PRID}{PRID(r1)}\right) }
-{(1-\href{#TITC}{TITC(s1,r1)})}
*exp{ \left(
\href{#PRII}{PRII(r1)}-\href{#PRID}{PRID(r1)}
+2
*{(\href{#JNV}{JNV(s1,r1)}-\href{#CAP}{CAP(s1,r1)})}\right) }
*\frac{\href{#phi}{phi(s1,r1)}}{2}\right) } \]
Equation 49:
LAMY
For
r1 in
regions (2 total):
\[ lead({\href{#LAMY}{LAMY(r1)}}) = ln{ \left(
{(1+\href{#INTR}{INTR(r1)}+\href{#RISY}{RISY(r1)}
+\href{#delta}{delta(r1)})}
*exp{ \left(\href{#LAMY}{LAMY(r1)}\right) }
-{(1-\href{#TCOR}{TCOR(r1)})}
*exp{ \left(
\href{#PRKY}{PRKY(r1)}-\href{#PRID}{PRID(r1)}\right) }
-exp{ \left(
\href{#PRII}{PRII(r1)}-\href{#PRID}{PRID(r1)}
+2
*{(\href{#JNVY}{JNVY(r1)}-\href{#CAPY}{CAPY(r1)})}\right) }
*\frac{\href{#phi_y}{phi\_y(r1)}}{2}\right) } \]
Equation 50:
LAMZ
For
r1 in
regions (2 total):
\[ lead({\href{#LAMZ}{LAMZ(r1)}}) = ln{ \left(
{(1+\href{#INTR}{INTR(r1)}+\href{#RISZ}{RISZ(r1)}
+\href{#delta}{delta(r1)})}
*exp{ \left(\href{#LAMZ}{LAMZ(r1)}\right) }
-exp{ \left(
\href{#PRKZ}{PRKZ(r1)}-\href{#PRID}{PRID(r1)}\right) }
-{(1-\href{#TITCH}{TITCH(r1)})}
*exp{ \left(
\href{#PRII}{PRII(r1)}-\href{#PRID}{PRID(r1)}
+2
*{(\href{#JNVZ}{JNVZ(r1)}-\href{#CAPZ}{CAPZ(r1)})}\right) }
*\frac{\href{#phi_z}{phi\_z(r1)}}{2}\right) } \]
Equation 51:
TOB
For
r1 in
regions,
s1 in
sec_std (38 total):
\[ \href{#TOB}{TOB(s1,r1)} = \href{#LAM}{LAM(s1,r1)}
+\href{#PRID}{PRID(r1)}-\href{#PRII}{PRII(r1)}
-ln{ \left(1-\href{#TITC}{TITC(s1,r1)}\right) } \]
Equation 52:
TOBY
For
r1 in
regions (2 total):
\[ \href{#TOBY}{TOBY(r1)} = \href{#LAMY}{LAMY(r1)}
+\href{#PRID}{PRID(r1)}-\href{#PRII}{PRII(r1)} \]
Equation 53:
TOBZ
For
r1 in
regions (2 total):
\[ \href{#TOBZ}{TOBZ(r1)} = \href{#LAMZ}{LAMZ(r1)}
+\href{#PRID}{PRID(r1)}-\href{#PRII}{PRII(r1)}
-ln{ \left(1-\href{#TITCH}{TITCH(r1)}\right) } \]
Equation 54:
TPA
For
r1 in
regions,
s1 in
sec_std (38 total):
\[ lead({\href{#TPA}{TPA(s1,r1)}}) = ln{ \left(
exp{ \left(\href{#TPA}{TPA(s1,r1)}\right) }
+\href{#adapt}{adapt(r1)}
*{(exp{ \left(\href{#TOB}{TOB(s1,r1)}\right) }
-exp{ \left(\href{#TPA}{TPA(s1,r1)}\right) })}\right) } \]
Equation 55:
TPAY
For
r1 in
regions (2 total):
\[ lead({\href{#TPAY}{TPAY(r1)}}) = ln{ \left(
exp{ \left(\href{#TPAY}{TPAY(r1)}\right) }
+\href{#adapt}{adapt(r1)}
*{(exp{ \left(\href{#TOBY}{TOBY(r1)}\right) }
-exp{ \left(\href{#TPAY}{TPAY(r1)}\right) })}\right) } \]
Equation 56:
TPAZ
For
r1 in
regions (2 total):
\[ lead({\href{#TPAZ}{TPAZ(r1)}}) = ln{ \left(
exp{ \left(\href{#TPAZ}{TPAZ(r1)}\right) }
+\href{#adapt}{adapt(r1)}
*{(exp{ \left(\href{#TOBZ}{TOBZ(r1)}\right) }
-exp{ \left(\href{#TPAZ}{TPAZ(r1)}\right) })}\right) } \]
Equation 57:
PRF
For
r1 in
regions,
s1 in
sec_std (38 total):
\[ \href{#PRF}{PRF(s1,r1)} = \frac{{(exp{ \left(
\href{#OUP}{OUP(s1,r1)}+\href{#PRP}{PRP(s1,r1)}\right) }
-exp{ \left(
\href{#ENT}{ENT(s1,r1)}+\href{#PRE}{PRE(s1,r1)}\right) }
-exp{ \left(
\href{#LAB}{LAB(s1,r1)}+\href{#WAG}{WAG(s1,r1)}\right) }
-exp{ \left(
\href{#OIN}{OIN(s1,r1)}+\href{#POI}{POI(s1,r1)}\right) }
-{(1-\href{#TITC}{TITC(s1,r1)})}
*exp{ \left(
\href{#INV}{INV(s1,r1)}+\href{#PRII}{PRII(r1)}\right) })}}{exp{ \left(\href{#PRID}{PRID(r1)}\right) }} \]
Equation 58:
PRFY
For
r1 in
regions (2 total):
\[ \href{#PRFY}{PRFY(r1)} = \frac{{(exp{ \left(
\href{#INVT}{INVT(r1)}+\href{#PRII}{PRII(r1)}\right) }
-exp{ \left(
\href{#IITE}{IITE(r1)}+\href{#PRIE}{PRIE(r1)}\right) }
-exp{ \left(
\href{#IITL}{IITL(r1)}+\href{#WAGE}{WAGE(r1)}\right) }
-exp{ \left(
\href{#IITO}{IITO(r1)}+\href{#PROI}{PROI(r1)}\right) }
-exp{ \left(
\href{#INVY}{INVY(r1)}+\href{#PRII}{PRII(r1)}\right) })}}{exp{ \left(\href{#PRID}{PRID(r1)}\right) }} \]
Equation 59:
PRFZ
For
r1 in
regions (2 total):
\[ \href{#PRFZ}{PRFZ(r1)} = \frac{{(exp{ \left(
\href{#CONP}{CONP(r1)}+\href{#PRCT}{PRCT(r1)}\right) }
-exp{ \left(
\href{#CNPE}{CNPE(r1)}+\href{#PRCE}{PRCE(r1)}\right) }
-exp{ \left(
\href{#CNPL}{CNPL(r1)}+\href{#WAGE}{WAGE(r1)}\right) }
-exp{ \left(
\href{#CNPO}{CNPO(r1)}+\href{#PRCO}{PRCO(r1)}\right) }
-{(1-\href{#TITCH}{TITCH(r1)})}
*exp{ \left(
\href{#INVZ}{INVZ(r1)}+\href{#PRII}{PRII(r1)}\right) })}}{exp{ \left(\href{#PRID}{PRID(r1)}\right) }} \]
Equation 60:
PRFT
For
r1 in
regions (2 total):
\[ \href{#PRFT}{PRFT(r1)} = \sum_{s1 \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(\href{#PRF}{PRF(s1,r1)}\right) }
+\href{#PRFY}{PRFY(r1)} \]
Equation 61:
STM
For
r1 in
regions,
s1 in
sec_std (38 total):
\[ \href{#STM}{STM(s1,r1)} = \href{#LAM}{LAM(s1,r1)}+\href{#CAP}{CAP(s1,r1)}
-ln{ \left(1-\href{#TITC}{TITC(s1,r1)}\right) } \]
Equation 62:
STMT
For
r1 in
regions (2 total):
\[ \href{#STMT}{STMT(r1)} = ln{ \left(
\sum_{s1 \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(exp{ \left(\href{#STM}{STM(s1,r1)}\right) }\right) }\right) } \]
Equation 63:
INVP
For
r1 in
regions (2 total):
\[ \href{#INVP}{INVP(r1)} = ln{ \left(
\sum_{s1 \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(exp{ \left(\href{#INV}{INV(s1,r1)}\right) }\right) }\right) } \]
Equation 64:
INVT
For
r1 in
regions (2 total):
\[ \href{#INVT}{INVT(r1)} = ln{ \left(
exp{ \left(\href{#INVY}{INVY(r1)}\right) }
+exp{ \left(\href{#INVZ}{INVZ(r1)}\right) }
+exp{ \left(\href{#INVP}{INVP(r1)}\right) }\right) } \]
Equation 65:
PRID
For
r1 in
regions (2 total):
\[ \href{#PRID}{PRID(r1)} = \sum_{g20 \; \text{in} \; \href{#goods}{goods}} { \left(\href{#prid_weight}{prid\_weight(g20,r1)}
*\href{#PRD}{PRD(g20,r1)}\right) } \]
Equation 66:
PRIX
For
r1 in
regions (2 total):
\[ \href{#PRIX}{PRIX(r1)} = \sum_{g26 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(\href{#prix_weight}{prix\_weight(g26,r1)}
*\href{#PRX}{PRX(g26,r1)}\right) } \]
Equation 67:
OUTP
For
r1 in
regions (2 total):
\[ \href{#OUTP}{OUTP(r1)} = ln{ \left(
\sum_{g20 \; \text{in} \; \href{#goods}{goods}} { \left(exp{ \left(
\href{#PRD}{PRD(g20,r1)}+\href{#OUG}{OUG(g20,r1)}\right) }\right) }\right) }
-\href{#PRID}{PRID(r1)} \]
Equation 68:
OUTL
For
r1 in
regions (2 total):
\[ lead({\href{#OUTL}{OUTL(r1)}}) = \href{#OUTP}{OUTP(r1)} \]
Equation 69:
INCM
For
r1 in
regions (2 total):
\[ \href{#INCM}{INCM(r1)} = ln{ \left(
\href{#TRAN}{TRAN(r1)}-\href{#TAXL}{TAXL(r1)}
+\href{#INTR}{INTR(r1)}*\href{#BOND}{BOND(r1)}
+\frac{\href{#IRAS}{IRAS(r1)}}{exp{ \left(\href{#REXN}{REXN(r1)}\right) }}
+\href{#PRFZ}{PRFZ(r1)}
+{(1-\href{#TCOR}{TCOR(r1)})}*\href{#PRFT}{PRFT(r1)}
+\frac{{({(1-\href{#TINC}{TINC(r1)})}
*{(exp{ \left(
\href{#WAGE}{WAGE(r1)}+\href{#IITL}{IITL(r1)}\right) }
+exp{ \left(
\href{#WAGE}{WAGE(r1)}+\href{#CNPL}{CNPL(r1)}\right) }
+exp{ \left(\href{#WAGG}{WAGG(r1)}\right) }
*\href{#GOVL}{GOVL(r1)}
+\sum_{s1 \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(exp{ \left(
\href{#WAG}{WAG(s1,r1)}+\href{#LAB}{LAB(s1,r1)}\right) }\right) })})}}{exp{ \left(\href{#PRID}{PRID(r1)}\right) }}\right) } \]
Equation 70:
CONP
For
r1 in
regions (2 total):
\[ \href{#CONP}{CONP(r1)} = ln{ \left(
\href{#fore_c}{fore\_c(r1)}
*{(\href{#timepref}{timepref(r1)}+\href{#RISW}{RISW(r1)})}
*exp{ \left(
\href{#WELT}{WELT(r1)}+\href{#PRID}{PRID(r1)}
-\href{#PRCT}{PRCT(r1)}\right) }
+{(1-\href{#fore_c}{fore\_c(r1)})}*\href{#mpc}{mpc(r1)}
*exp{ \left(
\href{#INCM}{INCM(r1)}+\href{#PRID}{PRID(r1)}
-\href{#PRCT}{PRCT(r1)}\right) }
+\href{#SHKC}{SHKC(r1)}\right) } \]
Equation 71:
IRAS
For
o1 in
owner (2 total):
\[ \href{#IRAS}{IRAS(o1)} = \sum_{c \; \text{in} \; \href{#currency}{currency}} { \left(\href{#INTR}{INTR(c)}
*exp{ \left(\href{#REXN}{REXN(c)}\right) }
*\href{#ASSE}{ASSE(c,o1)}\right) } \]
Equation 72:
INAS
For
o1 in
owner (2 total):
\[ \href{#INAS}{INAS(o1)} = \sum_{c \; \text{in} \; \href{#currency}{currency}} { \left(\href{#INTN}{INTN(c)}
*exp{ \left(\href{#REXN}{REXN(c)}\right) }
*\href{#ASSE}{ASSE(c,o1)}\right) } \]
Equation 73:
CNPL
For
r1 in
regions (2 total):
\[ \href{#CNPL}{CNPL(r1)} = {(\href{#sigma_oH}{sigma\_oH(r1)}-1)}
*{(\href{#SHLZ}{SHLZ(r1)}+\href{#SHYZ}{SHYZ(r1)})}
+ln{ \left(\href{#delta_oH}{delta\_oH(\text{l},r1)}\right) }
+\href{#CONP}{CONP(r1)}
+\href{#sigma_oH}{sigma\_oH(r1)}
*{(\href{#PRCT}{PRCT(r1)}-\href{#WAGE}{WAGE(r1)})} \]
Equation 74:
CNPE
For
r1 in
regions (2 total):
\[ \href{#CNPE}{CNPE(r1)} = {(\href{#sigma_oH}{sigma\_oH(r1)}-1)}
*{(\href{#SHEFC}{SHEFC(r1)}+\href{#SHYZ}{SHYZ(r1)})}
+ln{ \left(\href{#delta_oH}{delta\_oH(\text{e},r1)}\right) }
+\href{#CONP}{CONP(r1)}
+\href{#sigma_oH}{sigma\_oH(r1)}
*{(\href{#PRCT}{PRCT(r1)}-\href{#PRCE}{PRCE(r1)})} \]
Equation 75:
CNPO
For
r1 in
regions (2 total):
\[ \href{#CNPO}{CNPO(r1)} = {(\href{#sigma_oH}{sigma\_oH(r1)}-1)}*\href{#SHYZ}{SHYZ(r1)}
+ln{ \left(\href{#delta_oH}{delta\_oH(\text{m},r1)}\right) }
+\href{#CONP}{CONP(r1)}
+\href{#sigma_oH}{sigma\_oH(r1)}
*{(\href{#PRCT}{PRCT(r1)}-\href{#PRCO}{PRCO(r1)})} \]
Equation 76:
CNPK
For
r1 in
regions (2 total):
\[ \href{#CNPK}{CNPK(r1)} = {(\href{#sigma_oH}{sigma\_oH(r1)}-1)}*\href{#SHYZ}{SHYZ(r1)}
+ln{ \left(\href{#delta_oH}{delta\_oH(\text{k},r1)}\right) }
+\href{#CONP}{CONP(r1)}
+\href{#sigma_oH}{sigma\_oH(r1)}
*{(\href{#PRCT}{PRCT(r1)}-\href{#PRKZ}{PRKZ(r1)})} \]
Equation 77:
FDEN
For
g21 in
goods_e,
r1 in
regions (10 total):
\[ \href{#FDEN}{FDEN(g21,r1)} = \href{#CON}{CON(g21,r1)} \]
Equation 78:
PRCT
For
r1 in
regions (2 total):
\[ \href{#PRCT}{PRCT(r1)} = \href{#cd_oH}{cd\_oH(r1)}
*{(\href{#delta_oH}{delta\_oH(\text{k},r1)}*\href{#PRKZ}{PRKZ(r1)}
+\href{#delta_oH}{delta\_oH(\text{l},r1)}*\href{#WAGE}{WAGE(r1)}
+\href{#delta_oH}{delta\_oH(\text{e},r1)}*\href{#PRCE}{PRCE(r1)}
+\href{#delta_oH}{delta\_oH(\text{m},r1)}*\href{#PRCO}{PRCO(r1)}
-\href{#delta_oH}{delta\_oH(\text{l},r1)}*\href{#SHLZ}{SHLZ(r1)}
-\href{#delta_oH}{delta\_oH(\text{e},r1)}*\href{#SHEFC}{SHEFC(r1)})}
+\frac{{({(1-\href{#cd_oH}{cd\_oH(r1)})}
*ln{ \left(
\href{#delta_oH}{delta\_oH(\text{k},r1)}
*exp{ \left(\href{#PRKZ}{PRKZ(r1)}\right) }
^{(1-\href{#sigma_oH}{sigma\_oH(r1)})}
+\href{#delta_oH}{delta\_oH(\text{l},r1)}
*exp{ \left(
\href{#WAGE}{WAGE(r1)}-\href{#SHLZ}{SHLZ(r1)}\right) }
^{(1-\href{#sigma_oH}{sigma\_oH(r1)})}
+\href{#delta_oH}{delta\_oH(\text{e},r1)}
*exp{ \left(
\href{#PRCE}{PRCE(r1)}-\href{#SHEFC}{SHEFC(r1)}\right) }
^{(1-\href{#sigma_oH}{sigma\_oH(r1)})}
+\href{#delta_oH}{delta\_oH(\text{m},r1)}
*exp{ \left(\href{#PRCO}{PRCO(r1)}\right) }
^{(1-\href{#sigma_oH}{sigma\_oH(r1)})}\right) })}}{{(1
-\href{#sigma_oH}{sigma\_oH(r1)}*{(1-\href{#cd_oH}{cd\_oH(r1)})})}}
-\href{#SHYZ}{SHYZ(r1)} \]
Equation 79:
PRGT
For
r1 in
regions (2 total):
\[ \href{#PRGT}{PRGT(r1)} = \frac{\href{#delta_oG}{delta\_oG(\text{e},r1)}}{{(\href{#delta_oG}{delta\_oG(\text{e},r1)}
+\href{#delta_oG}{delta\_oG(\text{m},r1)})}}
*\sum_{g21 \; \text{in} \; \href{#goods_e}{goods\_e}} { \left(\href{#delta_eG}{delta\_eG(g21,r1)}*\href{#PRY}{PRY(g21,r1)}\right) }
+\frac{\href{#delta_oG}{delta\_oG(\text{m},r1)}}{{(\href{#delta_oG}{delta\_oG(\text{e},r1)}
+\href{#delta_oG}{delta\_oG(\text{m},r1)})}}
*\sum_{g23 \; \text{in} \; \href{#goods_m}{goods\_m}} { \left(\href{#delta_mG}{delta\_mG(g23,r1)}*\href{#PRY}{PRY(g23,r1)}\right) } \]
Equation 80:
MONE
For
r1 in
regions (2 total):
\[ \href{#MONE}{MONE(r1)} = \href{#PRID}{PRID(r1)}+\href{#OUTP}{OUTP(r1)}
+\href{#int_elast}{int\_elast(r1)}*\href{#INTN}{INTN(r1)}
+\href{#SHKM}{SHKM(r1)} \]
Equation 81:
INTF
For
r1 in
regions (2 total):
\[ \href{#INTF}{INTF(r1)} = \href{#INTN}{INTN(r1)}-lead({\href{#PRID}{PRID(r1)}})
+\href{#PRID}{PRID(r1)} \]
Equation 82:
INTR
For
r1 in
regions (2 total):
\[ \href{#INTR}{INTR(r1)} = \href{#INTF}{INTF(r1)}+\href{#RISR}{RISR(r1)} \]
Equation 83:
INFP
For
r1 in
regions (2 total):
\[ \href{#INFP}{INFP(r1)} = \href{#PRID}{PRID(r1)}-\href{#PRDL}{PRDL(r1)} \]
Equation 84:
PRCL
For
r1 in
regions (2 total):
\[ lead({\href{#PRCL}{PRCL(r1)}}) = \href{#PRCT}{PRCT(r1)} \]
Equation 85:
PRDL
For
r1 in
regions (2 total):
\[ lead({\href{#PRDL}{PRDL(r1)}}) = \href{#PRID}{PRID(r1)} \]
Equation 86:
GDPN
For
r1 in
regions (2 total):
\[ \href{#GDPN}{GDPN(r1)} = ln{ \left(
exp{ \left(
\href{#PRCT}{PRCT(r1)}+\href{#CONP}{CONP(r1)}\right) }
+exp{ \left(
\href{#PRID}{PRID(r1)}+\href{#GCET}{GCET(r1)}\right) }
+exp{ \left(
\href{#PRII}{PRII(r1)}+\href{#INVT}{INVT(r1)}\right) }
+exp{ \left(\href{#PRID}{PRID(r1)}\right) }
*\href{#TBAL}{TBAL(r1)}
+\sum_{g26 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(exp{ \left(\href{#PRII}{PRII(r1)}\right) }
*\href{#INS}{INS(r1,g26)}\right) }\right) } \]
Equation 87:
GDPR
For
r1 in
regions (2 total):
\[ \href{#GDPR}{GDPR(r1)} = ln{ \left(
exp{ \left(\href{#CONP}{CONP(r1)}\right) }
+exp{ \left(\href{#GCET}{GCET(r1)}\right) }
+exp{ \left(\href{#INVT}{INVT(r1)}\right) }
+\href{#TBAL}{TBAL(r1)}
+\sum_{g26 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(\href{#INS}{INS(r1,g26)}\right) }\right) } \]
Equation 88:
PGDP
For
r1 in
regions (2 total):
\[ \href{#PGDP}{PGDP(r1)} = \href{#GDPN}{GDPN(r1)}-\href{#GDPR}{GDPR(r1)} \]
Equation 89:
GNPR
For
r1 in
regions (2 total):
\[ \href{#GNPR}{GNPR(r1)} = ln{ \left(
exp{ \left(\href{#GDPR}{GDPR(r1)}\right) }
+\frac{{(\href{#PBAL}{PBAL(r1)}+\href{#IRAS}{IRAS(r1)})}}{exp{ \left(\href{#REXN}{REXN(r1)}\right) }}\right) } \]
Equation 90:
CURN
For
r1 in
regions (2 total):
\[ \href{#CURN}{CURN(r1)} = \href{#TBAL}{TBAL(r1)}
+\frac{{(\href{#PBAL}{PBAL(r1)}+\href{#INAS}{INAS(r1)})}}{exp{ \left(\href{#REXN}{REXN(r1)}\right) }} \]
Equation 91:
CURR
For
r1 in
regions (2 total):
\[ \href{#CURR}{CURR(r1)} = \href{#TBAU}{TBAU(r1)}+\href{#PBAL}{PBAL(r1)}
+\href{#IRAS}{IRAS(r1)} \]
Equation 92:
WELT
For
r1 in
regions (2 total):
\[ \href{#WELT}{WELT(r1)} = ln{ \left(
\href{#BOND}{BOND(r1)}
+\frac{\href{#ASSU}{ASSU(r1)}}{exp{ \left(\href{#REXN}{REXN(r1)}\right) }}
+\frac{{(\href{#mongdp}{mongdp(r1)}
*exp{ \left(\href{#MONE}{MONE(r1)}\right) })}}{exp{ \left(\href{#PRID}{PRID(r1)}\right) }}
+exp{ \left(\href{#WELH}{WELH(r1)}\right) }
+exp{ \left(
\href{#LAMY}{LAMY(r1)}+\href{#CAPY}{CAPY(r1)}\right) }
+exp{ \left(
\href{#LAMZ}{LAMZ(r1)}+\href{#CAPZ}{CAPZ(r1)}\right) }
+\sum_{s1 \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(exp{ \left(\href{#STM}{STM(s1,r1)}\right) }\right) }\right) } \]
Equation 93:
WELH
For
r1 in
regions (2 total):
\[ lead({\href{#WELH}{WELH(r1)}}) = ln{ \left(
{(1+\href{#RISW}{RISW(r1)}+\href{#RISH}{RISH(r1)}
+\href{#INTR}{INTR(r1)}
-\href{#labgrow}{labgrow(r1)})}
*exp{ \left(\href{#WELH}{WELH(r1)}\right) }
-\href{#TRAN}{TRAN(r1)}
+exp{ \left(\href{#TAXH}{TAXH(r1)}\right) }
+\href{#TAXL}{TAXL(r1)}
-\frac{{(exp{ \left(
\href{#WAGE}{WAGE(r1)}+\href{#IITL}{IITL(r1)}\right) }
+exp{ \left(
\href{#WAGE}{WAGE(r1)}+\href{#CNPL}{CNPL(r1)}\right) }
+exp{ \left(\href{#WAGG}{WAGG(r1)}\right) }
*\href{#GOVL}{GOVL(r1)}
+\sum_{s1 \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(exp{ \left(
\href{#WAG}{WAG(s1,r1)}+\href{#LAB}{LAB(s1,r1)}\right) }\right) })}}{exp{ \left(\href{#PRID}{PRID(r1)}\right) }}\right) } \]
Equation 94:
SAVI
For
r1 in
regions (2 total):
\[ \href{#SAVI}{SAVI(r1)} = exp{ \left(
\href{#INVT}{INVT(r1)}+\href{#PRII}{PRII(r1)}
-\href{#PRID}{PRID(r1)}\right) }
+\frac{\href{#CURR}{CURR(r1)}}{exp{ \left(\href{#REXN}{REXN(r1)}\right) }}
+\href{#DEFI}{DEFI(r1)} \]
Equation 95:
SAVN
For
r1 in
regions (2 total):
\[ \href{#SAVN}{SAVN(r1)} = exp{ \left(
\href{#INVT}{INVT(r1)}+\href{#PRII}{PRII(r1)}
-\href{#PRID}{PRID(r1)}\right) }
+\href{#CURN}{CURN(r1)}
+\href{#DEFN}{DEFN(r1)} \]
Equation 96:
SAVT
For
r1 in
regions (2 total):
\[ \href{#SAVT}{SAVT(r1)} = exp{ \left(
\href{#INVT}{INVT(r1)}+\href{#PRII}{PRII(r1)}
-\href{#PRID}{PRID(r1)}\right) }
+\href{#CURN}{CURN(r1)} \]
Equation 97:
TBAL
For
r1 in
regions (2 total):
\[ \href{#TBAL}{TBAL(r1)} = exp{ \left(\href{#EXQT}{EXQT(r1)}\right) }
-exp{ \left(\href{#IMQT}{IMQT(r1)}\right) } \]
Equation 98:
TBAU
For
r1 in
regions (2 total):
\[ \href{#TBAU}{TBAU(r1)} = \href{#TBAL}{TBAL(r1)}
*exp{ \left(\href{#REXN}{REXN(r1)}\right) } \]
Equation 99:
EMCO2
For
r1 in
regions,
s1 in
sec_std (38 total):
\[ \href{#EMCO2}{EMCO2(s1,r1)} = ln{ \left(
\sum_{g21 \; \text{in} \; \href{#goods_e}{goods\_e}} { \left(\href{#co2coef}{co2coef(s1,g21,r1)}
*exp{ \left(\href{#EN}{EN(s1,g21,r1)}\right) }\right) }\right) } \]
Equation 100:
EMCO2FD
For
r1 in
regions (2 total):
\[ \href{#EMCO2FD}{EMCO2FD(r1)} = ln{ \left(
\sum_{g21 \; \text{in} \; \href{#goods_e}{goods\_e}} { \left(\href{#co2coefFD}{co2coefFD(g21,r1)}
*exp{ \left(\href{#FDEN}{FDEN(g21,r1)}\right) }\right) }\right) } \]
Equation 101:
EMCO
For
r1 in
regions (2 total):
\[ \href{#EMCO}{EMCO(r1)} = ln{ \left(
\sum_{s1 \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(exp{ \left(\href{#EMCO2}{EMCO2(s1,r1)}\right) }\right) }
+exp{ \left(\href{#EMCO2FD}{EMCO2FD(r1)}\right) }\right) } \]
Equation 102:
ENER
For
r1 in
regions (2 total):
\[ \href{#ENER}{ENER(r1)} = \sum_{g26 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(\href{#btucoef}{btucoef(g26,r1)}
*exp{ \left(\href{#OUY}{OUY(g26,r1)}\right) }
*1000\right) }
-\sum_{g26 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(\href{#btucoef}{btucoef(g26,r1)}
*exp{ \left(\href{#EXQ}{EXQ(g26,r1)}\right) }
*1000\right) } \]
Equation 103:
EMIS
For
r1 in
regions (2 total):
\[ \href{#EMIS}{EMIS(r1)} = \frac{{(exp{ \left(\href{#EMCO}{EMCO(r1)}\right) }
*12)}}{44} \]
Equation 104:
EMIT
For
r1 in
regions (2 total):
\[ \href{#EMIT}{EMIT(r1)} = \href{#EMIS}{EMIS(r1)}-\href{#EMIX}{EMIX(r1)} \]
Equation 105:
EMISW
\[ \href{#EMISW}{EMISW} = \sum_{r1 \; \text{in} \; \href{#regions}{regions}} { \left(\href{#EMIS}{EMIS(r1)}\right) } \]
Equation 106:
ENERW
\[ \href{#ENERW}{ENERW} = \sum_{r1 \; \text{in} \; \href{#regions}{regions}} { \left(\href{#ENER}{ENER(r1)}\right) } \]
Equation 107:
EMCOW
\[ \href{#EMCOW}{EMCOW} = \frac{{(\href{#EMISW}{EMISW}*44)}}{12} \]
Equation 108:
EXCH
\[ \href{#EXCH}{EXCH(n)} = \href{#REXN}{REXN(n)}-\href{#PRID}{PRID(n)}
+\href{#PRID}{PRID(\text{USA})} \]
Equation 109:
EXCL
For
r1 in
regions (2 total):
\[ lead({\href{#EXCL}{EXCL(r1)}}) = \href{#EXCH}{EXCH(r1)} \]
Equation 110:
REXC
For
r1 in
regions (2 total):
\[ lead({\href{#REXC}{REXC(r1)}}) = \href{#REXC}{REXC(r1)}-\href{#INTR}{INTR(r1)}
+\href{#INTR}{INTR(\text{USA})}
+\href{#EXCR}{EXCR(r1)} \]
Equation 111:
REXN
For
r1 in
regions (2 total):
\[ \href{#REXN}{REXN(r1)} = \href{#REXC}{REXC(r1)} \]
Equation 112:
NEER
For
d in
dest (2 total):
\[ \href{#NEER}{NEER(d)} = {(
-\sum_{o \; \text{in} \; \href{#orig}{orig}} { \left(\href{#eer_weight}{eer\_weight(d,o)}
*{(\href{#EXCH}{EXCH(o)}-\href{#EXCH}{EXCH(d)})}\right) })} \]
Equation 113:
REER
For
d in
dest (2 total):
\[ \href{#REER}{REER(d)} = {(
-\sum_{o \; \text{in} \; \href{#orig}{orig}} { \left(\href{#eer_weight}{eer\_weight(d,o)}
*{(\href{#REXN}{REXN(o)}-\href{#REXN}{REXN(d)})}\right) })} \]
Equation 114:
ABUY
For
o1 in
owner (2 total):
\[ \href{#ABUY}{ABUY(o1)} = \sum_{a \; \text{in} \; \href{#abroad}{abroad}} { \left(\href{#ainv}{ainv(o1,a)}*\href{#CURR}{CURR(a)}\right) } \]
Equation 115:
ASSE
For
c in
currency,
o1 in
owner (4 total):
\[ lead({\href{#ASSE}{ASSE(c,o1)}}) = \href{#ASSE}{ASSE(c,o1)}*{(1-\href{#labgrow}{labgrow(o1)})}
+\frac{{(\href{#ashr}{ashr(c,o1)}*\href{#ABUY}{ABUY(o1)}
+\href{#aeye}{aeye(c,o1)}
*{(\href{#CURR}{CURR(o1)}-\href{#ABUY}{ABUY(o1)})})}}{exp{ \left(\href{#REXN}{REXN(c)}\right) }} \]
Equation 116:
ASSU
For
o1 in
owner (2 total):
\[ \href{#ASSU}{ASSU(o1)} = \sum_{c \; \text{in} \; \href{#currency}{currency}} { \left(exp{ \left(\href{#REXN}{REXN(c)}\right) }
*\href{#ASSE}{ASSE(c,o1)}\right) } \]
Equation 117:
EYGR
For
r1 in
regions (2 total):
\[ \href{#EYGR}{EYGR(r1)} = lead({\href{#OUTP}{OUTP(r1)}})-\href{#OUTP}{OUTP(r1)} \]
Equation 118:
EPRC
For
r1 in
regions (2 total):
\[ \href{#EPRC}{EPRC(r1)} = lead({\href{#PRCT}{PRCT(r1)}})-\href{#PRCT}{PRCT(r1)} \]
Equation 119:
INFL
For
r1 in
regions (2 total):
\[ \href{#INFL}{INFL(r1)} = \href{#PRCT}{PRCT(r1)}-\href{#PRCL}{PRCL(r1)} \]
Equation 120:
PRCOL
For
r1 in
regions (2 total):
\[ lead({\href{#PRCOL}{PRCOL(r1)}}) = \href{#PRCO}{PRCO(r1)} \]
Equation 121:
INFCL
For
r1 in
regions (2 total):
\[ \href{#INFCL}{INFCL(r1)} = \href{#PRCO}{PRCO(r1)}-\href{#PRCOL}{PRCOL(r1)} \]
Equation 122:
YGRO
For
r1 in
regions (2 total):
\[ \href{#YGRO}{YGRO(r1)} = \href{#OUTP}{OUTP(r1)}-\href{#OUTL}{OUTL(r1)} \]
Equation 123:
GNEN
For
r1 in
regions (2 total):
\[ \href{#GNEN}{GNEN(r1)} = ln{ \left(
exp{ \left(
\href{#PRCT}{PRCT(r1)}+\href{#CONP}{CONP(r1)}\right) }
+exp{ \left(
\href{#PRID}{PRID(r1)}+\href{#GCET}{GCET(r1)}\right) }
+exp{ \left(
\href{#PRII}{PRII(r1)}+\href{#INVT}{INVT(r1)}\right) }
+\sum_{g26 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(exp{ \left(\href{#PRII}{PRII(r1)}\right) }
*\href{#INS}{INS(r1,g26)}\right) }\right) } \]
Equation 124:
GNER
For
r1 in
regions (2 total):
\[ \href{#GNER}{GNER(r1)} = ln{ \left(
exp{ \left(\href{#CONP}{CONP(r1)}\right) }
+exp{ \left(\href{#GCET}{GCET(r1)}\right) }
+exp{ \left(\href{#INVT}{INVT(r1)}\right) }
+\sum_{g26 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(\href{#INS}{INS(r1,g26)}\right) }\right) } \]
Equation 125:
INTN
For
r1 in
regions (2 total):
\[ \href{#INTN}{INTN(r1)} = \href{#mrule_r}{mrule\_r(r1)}*\href{#INTL}{INTL(r1)}
+\href{#mrule_ex}{mrule\_ex(r1)}
*{(\href{#EXCH}{EXCH(r1)}-\href{#EXCL}{EXCL(r1)}
-\href{#EXCX}{EXCX(r1)})}
+\href{#mrule_1}{mrule\_1(r1)}
*{(\href{#INFL}{INFL(r1)}-\href{#INFX}{INFX(r1)})}
+\href{#mrule_2}{mrule\_2(r1)}
*{(\href{#INFP}{INFP(r1)}-\href{#INFX}{INFX(r1)})}
+\href{#mrule_3}{mrule\_3(r1)}
*{(\href{#INFCL}{INFCL(r1)}-\href{#INFX}{INFX(r1)})}
+\href{#mrule_4}{mrule\_4(r1)}
*{(\href{#PRCT}{PRCT(r1)}-\href{#PTAR}{PTAR(r1)})}
+\href{#mrule_5}{mrule\_5(r1)}
*{(\href{#PRID}{PRID(r1)}-\href{#PTAR}{PTAR(r1)})}
+\href{#mrule_6}{mrule\_6(r1)}
*{(\href{#WAGE}{WAGE(r1)}-\href{#PTAR}{PTAR(r1)})}
+\href{#mrule_7}{mrule\_7(r1)}*0
+\href{#mrule_8}{mrule\_8(r1)}
*{(\href{#OUTP}{OUTP(r1)}-\href{#OUTL}{OUTL(r1)}
-\href{#ROGY}{ROGY(r1)})}
+\href{#mrule_9}{mrule\_9(r1)}
*{(\href{#OUTP}{OUTP(r1)}-\href{#OUTL}{OUTL(r1)}
-\href{#ROGY}{ROGY(r1)}
+\href{#INFP}{INFP(r1)}
-\href{#INFX}{INFX(r1)})}
+\href{#mrule_10}{mrule\_10(r1)}
*{(\href{#GDPN}{GDPN(r1)}-\href{#ROGY}{ROGY(r1)})}
+\href{#mrule_11}{mrule\_11(r1)}
*{(\href{#OUTP}{OUTP(r1)}+\href{#PRID}{PRID(r1)})}
+\href{#mrule_12}{mrule\_12(r1)}
*ln{ \left(
exp{ \left(
\href{#OUTP}{OUTP(r1)}+\href{#PRID}{PRID(r1)}\right) }
-\href{#TBAL}{TBAL(r1)}\right) }
+\href{#mrule_13}{mrule\_13(r1)}
*{(\href{#EPRC}{EPRC(r1)}-\href{#INFX}{INFX(r1)})}
+\href{#mrule_14}{mrule\_14(r1)}
*{(\href{#EYGR}{EYGR(r1)}-\href{#ROGY}{ROGY(r1)})}
+\href{#mrule_15}{mrule\_15(r1)}
*{(\href{#GNEN}{GNEN(r1)}-\href{#ROGY}{ROGY(r1)})} \]
Equation 126:
INTL
For
r1 in
regions (2 total):
\[ lead({\href{#INTL}{INTL(r1)}}) = \href{#INTN}{INTN(r1)} \]
Equation 127:
GCE
For
g21 in
goods_e,
r1 in
regions (10 total):
\[ \href{#GCE}{GCE(g21,r1)} = ln{ \left(\href{#delta_eG}{delta\_eG(g21,r1)}\right) }
+ln{ \left(
\frac{\href{#delta_oG}{delta\_oG(\text{e},r1)}}{{(\href{#delta_oG}{delta\_oG(\text{e},r1)}
+\href{#delta_oG}{delta\_oG(\text{m},r1)})}}\right) }
+\href{#GOVS}{GOVS(r1)}
+\href{#PRID}{PRID(r1)}
-\href{#PRY}{PRY(g21,r1)} \]
Equation 128:
GCE
For
g23 in
goods_m,
r1 in
regions (14 total):
\[ \href{#GCE}{GCE(g23,r1)} = ln{ \left(\href{#delta_mG}{delta\_mG(g23,r1)}\right) }
+ln{ \left(
\frac{\href{#delta_oG}{delta\_oG(\text{m},r1)}}{{(\href{#delta_oG}{delta\_oG(\text{e},r1)}
+\href{#delta_oG}{delta\_oG(\text{m},r1)})}}\right) }
+\href{#GOVS}{GOVS(r1)}
+\href{#PRID}{PRID(r1)}
-\href{#PRY}{PRY(g23,r1)} \]
Equation 129:
GCET
For
r1 in
regions (2 total):
\[ \href{#GCET}{GCET(r1)} = ln{ \left(
\sum_{g26 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(exp{ \left(
\href{#GCE}{GCE(g26,r1)}+\href{#PRY}{PRY(g26,r1)}\right) }\right) }\right) }
-\href{#PRID}{PRID(r1)} \]
Equation 130:
GOVT
For
r1 in
regions (2 total):
\[ \href{#GOVT}{GOVT(r1)} = ln{ \left(
exp{ \left(\href{#GCET}{GCET(r1)}\right) }
+exp{ \left(
\href{#WAGG}{WAGG(r1)}-\href{#PRID}{PRID(r1)}\right) }
*\href{#GOVL}{GOVL(r1)}\right) } \]
Equation 131:
TRAN
For
r1 in
regions (2 total):
\[ \href{#TRAN}{TRAN(r1)} = \href{#TRANX}{TRANX(r1)}
+\href{#transgdp}{transgdp(r1)}
*exp{ \left(\href{#OUTP}{OUTP(r1)}\right) } \]
Equation 132:
TXM
For
d in
dest,
g26 in
goods_o (24 total):
\[ \href{#TXM}{TXM(g26,d)} = \frac{\sum_{o \; \text{in} \; \href{#orig}{orig}} { \left({(\href{#TIM}{TIM(g26,d,o)}*\href{#MUL}{MUL(d,o)}
+\href{#TIF}{TIF(g26,d)}*\href{#FTA}{FTA(d,o)})}
*exp{ \left(
\href{#PIM}{PIM(g26,d,o)}+\href{#IMP}{IMP(g26,d,o)}\right) }\right) }}{exp{ \left(\href{#PRID}{PRID(d)}\right) }} \]
Equation 133:
TAXM
For
d in
dest (2 total):
\[ \href{#TAXM}{TAXM(d)} = \sum_{g26 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(\href{#TXM}{TXM(g26,d)}\right) } \]
Equation 134:
TAXX
For
r1 in
regions (2 total):
\[ \href{#TAXX}{TAXX(r1)} = \frac{\sum_{g26 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(\href{#TEX}{TEX(g26,r1)}
*exp{ \left(
\href{#PRS}{PRS(g26,r1)}+\href{#EXQ}{EXQ(g26,r1)}\right) }\right) }}{exp{ \left(\href{#PRID}{PRID(r1)}\right) }} \]
Equation 135:
TAXH
For
r1 in
regions (2 total):
\[ \href{#TAXH}{TAXH(r1)} = ln{ \left(
\href{#TINC}{TINC(r1)}
*{(exp{ \left(
\href{#WAGE}{WAGE(r1)}+\href{#IITL}{IITL(r1)}\right) }
+exp{ \left(
\href{#WAGE}{WAGE(r1)}+\href{#CNPL}{CNPL(r1)}\right) }
+exp{ \left(\href{#WAGG}{WAGG(r1)}\right) }
*\href{#GOVL}{GOVL(r1)}
+\sum_{s1 \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(exp{ \left(
\href{#WAG}{WAG(s1,r1)}+\href{#LAB}{LAB(s1,r1)}\right) }\right) })}
-\href{#TITCH}{TITCH(r1)}
*exp{ \left(
\href{#PRII}{PRII(r1)}+\href{#INVZ}{INVZ(r1)}\right) }\right) }
-\href{#PRID}{PRID(r1)} \]
Equation 136:
BOND
For
r1 in
regions (2 total):
\[ lead({\href{#BOND}{BOND(r1)}}) = \href{#DEFI}{DEFI(r1)}
+\href{#BOND}{BOND(r1)}*{(1-\href{#labgrow}{labgrow(r1)})}
-\href{#PBAG}{PBAG(r1)} \]
Equation 137:
TAXL
For
r1 in
regions (2 total):
\[ \href{#TAXL}{TAXL(r1)} = \href{#INTR}{INTR(r1)}*\href{#BOND}{BOND(r1)}
+\href{#TAXS}{TAXS(r1)} \]
Equation 138:
TAXT
For
r1 in
regions (2 total):
\[ \href{#TAXT}{TAXT(r1)} = ln{ \left(
exp{ \left(\href{#TAXC}{TAXC(r1)}\right) }
+exp{ \left(\href{#TAXH}{TAXH(r1)}\right) }
+\href{#TAXL}{TAXL(r1)}+\href{#TAXM}{TAXM(r1)}
+\href{#TAXX}{TAXX(r1)}
+\href{#TAXE}{TAXE(r1)}\right) } \]
Equation 139:
DEFI
For
r1 in
regions (2 total):
\[ \href{#DEFI}{DEFI(r1)} = exp{ \left(\href{#GOVT}{GOVT(r1)}\right) }
+\href{#TRAN}{TRAN(r1)}
-exp{ \left(\href{#TAXT}{TAXT(r1)}\right) }
+\href{#INTR}{INTR(r1)}*\href{#BOND}{BOND(r1)} \]
Equation 140:
DEFN
For
r1 in
regions (2 total):
\[ \href{#DEFN}{DEFN(r1)} = \href{#DEFI}{DEFI(r1)}
+{(\href{#INTN}{INTN(r1)}-\href{#INTR}{INTR(r1)})}
*\href{#BOND}{BOND(r1)} \]
Equation 141:
PRT
For
g21 in
goods_e,
r1 in
regions,
s1 in
sec_std (190 total):
\[ \href{#PRT}{PRT(s1,g21,r1)} = ln{ \left(
exp{ \left(\href{#PRS}{PRS(g21,r1)}\right) }
*{(1+\href{#TAX}{TAX(g21,r1)}+\href{#CTAV}{CTAV(s1,g21,r1)}
+\href{#CTAVS}{CTAVS(r1)})}
+\href{#TXGS}{TXGS(s1,g21,r1)}
+\frac{{({(\href{#TCPS}{TCPS(s1,g21,r1)}+\href{#SCON}{SCON(r1)})}
*\href{#co2coef}{co2coef(s1,g21,r1)})}}{100}\right) } \]
Equation 142:
CON
For
g21 in
goods_e,
r1 in
regions (10 total):
\[ \href{#CON}{CON(g21,r1)} = ln{ \left(\href{#delta_eH}{delta\_eH(g21,r1)}\right) }
+\href{#CNPE}{CNPE(r1)}
+\href{#sigma_eH}{sigma\_eH(r1)}
*{(\href{#PRCE}{PRCE(r1)}
-ln{ \left(
exp{ \left(\href{#PRY}{PRY(g21,r1)}\right) }
*{(1+\href{#CTFDAV}{CTFDAV(g21,r1)})}
+\frac{{({(\href{#TCPSFD}{TCPSFD(g21,r1)}+\href{#SCON}{SCON(r1)})}
*\href{#co2coefFD}{co2coefFD(g21,r1)})}}{100}\right) })} \]
Equation 143:
CON
For
g24 in
goods_mc,
r1 in
regions (12 total):
\[ \href{#CON}{CON(g24,r1)} = ln{ \left(\href{#delta_mH}{delta\_mH(g24,r1)}\right) }
+\href{#CNPO}{CNPO(r1)}
+\href{#sigma_mH}{sigma\_mH(r1)}
*{(\href{#PRCO}{PRCO(r1)}-\href{#PRY}{PRY(g24,r1)})} \]
Equation 144:
EN
For
g21 in
goods_e,
r1 in
regions,
s1 in
sec_std (190 total):
\[ \href{#EN}{EN(s1,g21,r1)} = ln{ \left(\href{#delta_e}{delta\_e(r1,s1,g21)}\right) }
+\href{#ENT}{ENT(s1,r1)}
+\href{#sigma_e}{sigma\_e(s1,r1)}
*{(\href{#PRE}{PRE(s1,r1)}-\href{#PRT}{PRT(s1,g21,r1)})} \]
Equation 145:
OI
For
g23 in
goods_m,
r1 in
regions,
s1 in
sec_std (266 total):
\[ \href{#OI}{OI(s1,g23,r1)} = ln{ \left(\href{#delta_m}{delta\_m(r1,s1,g23)}\right) }
+\href{#OIN}{OIN(s1,r1)}
+\href{#sigma_m}{sigma\_m(s1,r1)}
*{(\href{#POI}{POI(s1,r1)}-\href{#PRY}{PRY(g23,r1)})} \]
Equation 146:
PRE
For
r1 in
regions,
s1 in
sec_std (38 total):
\[ \href{#PRE}{PRE(s1,r1)} = \href{#cd_e}{cd\_e(s1,r1)}
*\sum_{g21 \; \text{in} \; \href{#goods_e}{goods\_e}} { \left(\href{#delta_e}{delta\_e(r1,s1,g21)}*\href{#PRT}{PRT(s1,g21,r1)}\right) }
+\frac{{({(1-\href{#cd_e}{cd\_e(s1,r1)})}
*ln{ \left(
\sum_{g21 \; \text{in} \; \href{#goods_e}{goods\_e}} { \left(\href{#delta_e}{delta\_e(r1,s1,g21)}
*exp{ \left(\href{#PRT}{PRT(s1,g21,r1)}\right) }
^{(1-\href{#sigma_e}{sigma\_e(s1,r1)})}\right) }\right) })}}{{(1
-\href{#sigma_e}{sigma\_e(s1,r1)}*{(1-\href{#cd_e}{cd\_e(s1,r1)})})}} \]
Equation 147:
POI
For
r1 in
regions,
s1 in
sec_std (38 total):
\[ \href{#POI}{POI(s1,r1)} = \href{#cd_m}{cd\_m(s1,r1)}
*\sum_{g23 \; \text{in} \; \href{#goods_m}{goods\_m}} { \left(\href{#delta_m}{delta\_m(r1,s1,g23)}*\href{#PRY}{PRY(g23,r1)}\right) }
+\frac{{({(1-\href{#cd_m}{cd\_m(s1,r1)})}
*ln{ \left(
\sum_{g23 \; \text{in} \; \href{#goods_m}{goods\_m}} { \left(\href{#delta_m}{delta\_m(r1,s1,g23)}
*exp{ \left(\href{#PRY}{PRY(g23,r1)}\right) }
^{(1-\href{#sigma_m}{sigma\_m(s1,r1)})}\right) }\right) })}}{{(1
-\href{#sigma_m}{sigma\_m(s1,r1)}*{(1-\href{#cd_m}{cd\_m(s1,r1)})})}} \]
Equation 148:
PRCE
For
r1 in
regions (2 total):
\[ \href{#PRCE}{PRCE(r1)} = \href{#cd_eH}{cd\_eH(r1)}
*\sum_{g21 \; \text{in} \; \href{#goods_e}{goods\_e}} { \left(\href{#delta_eH}{delta\_eH(g21,r1)}
*ln{ \left(
exp{ \left(\href{#PRY}{PRY(g21,r1)}\right) }
*{(1+\href{#CTFDAV}{CTFDAV(g21,r1)})}
+\frac{{({(\href{#TCPSFD}{TCPSFD(g21,r1)}+\href{#SCON}{SCON(r1)})}
*\href{#co2coefFD}{co2coefFD(g21,r1)})}}{100}\right) }\right) }
+\frac{{({(1-\href{#cd_eH}{cd\_eH(r1)})}
*ln{ \left(
\sum_{g21 \; \text{in} \; \href{#goods_e}{goods\_e}} { \left(\href{#delta_eH}{delta\_eH(g21,r1)}
*{(exp{ \left(\href{#PRY}{PRY(g21,r1)}\right) }
*{(1+\href{#CTFDAV}{CTFDAV(g21,r1)})}
+\frac{{({(\href{#TCPSFD}{TCPSFD(g21,r1)}+\href{#SCON}{SCON(r1)})}
*\href{#co2coefFD}{co2coefFD(g21,r1)})}}{100})}
^{(1-\href{#sigma_eH}{sigma\_eH(r1)})}\right) }\right) })}}{{(1
-\href{#sigma_eH}{sigma\_eH(r1)}*{(1-\href{#cd_eH}{cd\_eH(r1)})})}} \]
Equation 149:
PRCO
For
r1 in
regions (2 total):
\[ \href{#PRCO}{PRCO(r1)} = \href{#cd_mH}{cd\_mH(r1)}
*\sum_{g23 \; \text{in} \; \href{#goods_m}{goods\_m}} { \left(\href{#delta_mH}{delta\_mH(g23,r1)}*\href{#PRY}{PRY(g23,r1)}\right) }
+\frac{{({(1-\href{#cd_mH}{cd\_mH(r1)})}
*ln{ \left(
\sum_{g23 \; \text{in} \; \href{#goods_m}{goods\_m}} { \left(\href{#delta_mH}{delta\_mH(g23,r1)}
*exp{ \left(\href{#PRY}{PRY(g23,r1)}\right) }
^{(1-\href{#sigma_mH}{sigma\_mH(r1)})}\right) }\right) })}}{{(1
-\href{#sigma_mH}{sigma\_mH(r1)}*{(1-\href{#cd_mH}{cd\_mH(r1)})})}} \]
Equation 150:
RVGS
For
r1 in
regions (2 total):
\[ \href{#RVGS}{RVGS(r1)} = \frac{\sum_{g21 \; \text{in} \; \href{#goods_e}{goods\_e}} { \left(\sum_{s1 \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(\href{#EN}{EN(s1,g21,r1)}
*{(\href{#TXGS}{TXGS(s1,g21,r1)}
+\frac{{(\href{#TCPS}{TCPS(s1,g21,r1)}*\href{#co2coef}{co2coef(s1,g21,r1)})}}{100})}
+\frac{{(\href{#FDEN}{FDEN(g21,r1)}*\href{#TCPSFD}{TCPSFD(g21,r1)}
*\href{#co2coef}{co2coef(s1,g21,r1)})}}{100}\right) }\right) }}{exp{ \left(\href{#PRID}{PRID(r1)}\right) }} \]
Equation 151:
RVCTAV
For
r1 in
regions (2 total):
\[ \href{#RVCTAV}{RVCTAV(r1)} = \frac{\sum_{s1 \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(\sum_{g21 \; \text{in} \; \href{#goods_e}{goods\_e}} { \left(\href{#CTAV}{CTAV(s1,g21,r1)}
*exp{ \left(
\href{#PRS}{PRS(g21,r1)}+\href{#EN}{EN(s1,g21,r1)}\right) }\right) }\right) }}{exp{ \left(\href{#PRID}{PRID(r1)}\right) }}
+\frac{\sum_{g21 \; \text{in} \; \href{#goods_e}{goods\_e}} { \left(\href{#CTFDAV}{CTFDAV(g21,r1)}
*exp{ \left(
\href{#PRY}{PRY(g21,r1)}+\href{#FDEN}{FDEN(g21,r1)}\right) }\right) }}{exp{ \left(\href{#PRID}{PRID(r1)}\right) }} \]
Equation 152:
TAXE
For
r1 in
regions (2 total):
\[ \href{#TAXE}{TAXE(r1)} = \href{#RVGS}{RVGS(r1)}+\href{#RVCTAV}{RVCTAV(r1)} \]
Equation 153:
TAXC
For
r1 in
regions (2 total):
\[ \href{#TAXC}{TAXC(r1)} = ln{ \left(
\href{#TCOR}{TCOR(r1)}
*{(\sum_{s1 \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(\href{#PRF}{PRF(s1,r1)}\right) }
+\href{#PRFY}{PRFY(r1)})}
+\frac{{(\sum_{g20 \; \text{in} \; \href{#goods}{goods}} { \left(\href{#TAX}{TAX(g20,r1)}
*exp{ \left(
\href{#PRD}{PRD(g20,r1)}+\href{#OUG}{OUG(g20,r1)}\right) }\right) }
+\sum_{g26 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(\href{#TAX}{TAX(g26,r1)}
*exp{ \left(
\href{#PMR}{PMR(g26,r1)}+\href{#IMQ}{IMQ(g26,r1)}\right) }\right) }
-\sum_{s1 \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(\href{#TITC}{TITC(s1,r1)}
*exp{ \left(
\href{#PRII}{PRII(r1)}+\href{#INV}{INV(s1,r1)}\right) }\right) }
-\sum_{g26 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(\href{#TAX}{TAX(g26,r1)}
*exp{ \left(
\href{#PRS}{PRS(g26,r1)}+\href{#EXQ}{EXQ(g26,r1)}\right) }\right) })}}{exp{ \left(\href{#PRID}{PRID(r1)}\right) }}\right) } \]
Equation 154:
OUY
For
g22 in
goods_g,
r1 in
regions (16 total):
\[ \href{#OUY}{OUY(g22,r1)} = \href{#ELE}{ELE(g22,r1)} \]
Equation 155:
OUG
For
g22 in
goods_g,
r1 in
regions (16 total):
\[ \href{#OUG}{OUG(g22,r1)} = \href{#OUY}{OUY(g22,r1)} \]
Equation 156:
ELE
For
g22 in
goods_g,
r1 in
regions (16 total):
\[ \href{#ELE}{ELE(g22,r1)} = {(\href{#sigma_ed}{sigma\_ed(r1)}-1)}*\href{#SHY}{SHY(\text{a01},r1)}
+ln{ \left(\href{#delta_ed}{delta\_ed(r1,g22)}\right) }
+\href{#OUP}{OUP(\text{a01},r1)}
+\href{#sigma_ed}{sigma\_ed(r1)}
*{(\href{#PRP}{PRP(\text{a01},r1)}
-ln{ \left(
exp{ \left(\href{#PRY}{PRY(g22,r1)}\right) }
-\href{#gwhcoef}{gwhcoef(g22,r1)}*\href{#credfac}{credfac(g22,r1)}
*\href{#PCEC}{PCEC(r1)}
+\href{#RATEFEE}{RATEFEE(g22,r1)}\right) })} \]
Equation 157:
PRS
For
g22 in
goods_g,
r1 in
regions (16 total):
\[ \href{#PRS}{PRS(g22,r1)} = \href{#PRD}{PRD(g22,r1)} \]
Equation 158:
PED
For
r1 in
regions (2 total):
\[ \href{#PED}{PED(r1)} = \href{#cd_ed}{cd\_ed(r1)}
*\sum_{g22 \; \text{in} \; \href{#goods_g}{goods\_g}} { \left(\href{#delta_ed}{delta\_ed(r1,g22)}
*ln{ \left(
exp{ \left(
\href{#PRY}{PRY(g22,r1)}
-\href{#gwhcoef}{gwhcoef(g22,r1)}*\href{#credfac}{credfac(g22,r1)}
*\href{#PCEC}{PCEC(r1)}
+\href{#RATEFEE}{RATEFEE(g22,r1)}\right) }\right) }\right) }
+\frac{{({(1-\href{#cd_ed}{cd\_ed(r1)})}
*ln{ \left(
\sum_{g22 \; \text{in} \; \href{#goods_g}{goods\_g}} { \left(\href{#delta_ed}{delta\_ed(r1,g22)}
*{(exp{ \left(\href{#PRY}{PRY(g22,r1)}\right) }
-\href{#gwhcoef}{gwhcoef(g22,r1)}*\href{#credfac}{credfac(g22,r1)}
*\href{#PCEC}{PCEC(r1)}
+\href{#RATEFEE}{RATEFEE(g22,r1)})}
^{(1-\href{#sigma_ed}{sigma\_ed(r1)})}\right) }\right) })}}{{(1
-\href{#sigma_ed}{sigma\_ed(r1)}*{(1-\href{#cd_ed}{cd\_ed(r1)})})}}
-\href{#SHY}{SHY(\text{a01},r1)} \]
Equation 159:
PRP
For
r1 in
regions (2 total):
\[ \href{#PRP}{PRP(\text{a01},r1)} = ln{ \left(
exp{ \left(\href{#PED}{PED(r1)}\right) }
+\frac{{(\href{#PCEC}{PCEC(r1)}*\href{#GWHC}{GWHC(r1)})}}{exp{ \left(\href{#OUP}{OUP(\text{a01},r1)}\right) }}\right) } \]
Equation 160:
GWHA
For
r1 in
regions (2 total):
\[ \href{#GWHA}{GWHA(r1)} = \sum_{g20 \; \text{in} \; \href{#goods}{goods}} { \left(\href{#gwhcoef}{gwhcoef(g20,r1)}
*exp{ \left(\href{#OUG}{OUG(g20,r1)}\right) }\right) } \]
Equation 161:
GWHC
For
r1 in
regions (2 total):
\[ \href{#GWHC}{GWHC(r1)} = \sum_{g20 \; \text{in} \; \href{#goods}{goods}} { \left(\href{#credfac}{credfac(g20,r1)}*\href{#gwhcoef}{gwhcoef(g20,r1)}
*exp{ \left(\href{#OUG}{OUG(g20,r1)}\right) }\right) } \]
Equation 162:
CSHR
For
r1 in
regions (2 total):
\[ \href{#CSHR}{CSHR(r1)} = \frac{\href{#GWHC}{GWHC(r1)}}{\href{#GWHA}{GWHA(r1)}} \]
Equation 163:
EDRC
For
r1 in
regions (2 total):
\[ \href{#EDRC}{EDRC(r1)} = \sum_{g22 \; \text{in} \; \href{#goods_g}{goods\_g}} { \left({(\href{#CO2RATE}{CO2RATE(g22,r1)}-\href{#CO2TAR}{CO2TAR(r1)})}
*\href{#gwhcoef}{gwhcoef(g22,r1)}
*exp{ \left(\href{#OUG}{OUG(g22,r1)}\right) }\right) } \]
Equation 164:
GENCO2
For
r1 in
regions (2 total):
\[ \href{#GENCO2}{GENCO2(\text{a13},r1)} = exp{ \left(\href{#EN}{EN(\text{a13},\text{g04},r1)}\right) }
*\href{#carcoef}{carcoef(\text{g04},r1)}
*1000 \]
Equation 165:
GENCO2
For
r1 in
regions (2 total):
\[ \href{#GENCO2}{GENCO2(\text{a14},r1)} = exp{ \left(\href{#EN}{EN(\text{a13},\text{g02},r1)}\right) }
*\href{#carcoef}{carcoef(\text{g02},r1)}
*1000 \]
Equation 166:
GENCO2
For
r1 in
regions (2 total):
\[ \href{#GENCO2}{GENCO2(\text{a15},r1)} = {(exp{ \left(\href{#EN}{EN(\text{a15},\text{g05},r1)}\right) }
+exp{ \left(
\href{#EN}{EN(\text{a03},\text{g05},r1)}
+\href{#EN}{EN(\text{a15},\text{g03},r1)}
-\href{#OUY}{OUY(\text{g03},r1)}\right) })}
*\href{#carcoef}{carcoef(\text{g05},r1)}
*1000 \]
Equation 167:
GENRATE
For
r1 in
regions (2 total):
\[ \href{#GENRATE}{GENRATE(r1)} = \frac{{(\sum_{f1 \; \text{in} \; \href{#fgen}{fgen}} { \left(\href{#GENCO2}{GENCO2(f1,r1)}\right) }
*2205
*1000)}}{\href{#GWHA}{GWHA(r1)}} \]