Equation 1:
EXCH
\[ \href{#EXCH}{EXCH(\text{USA})} = 0 \]
Equation 2:
OUY
For
g6 in
goods_e,
r24 in
regions (24 total):
\[ \href{#OUY}{OUY(g6,r24)} = ln{ \left(
exp{ \left(\href{#CON}{CON(g6,r24)}\right) }
+exp{ \left(\href{#IIN}{IIN(g6,r24)}\right) }
+\href{#INS}{INS(r24,g6)}
+exp{ \left(\href{#GCE}{GCE(g6,r24)}\right) }
+exp{ \left(\href{#EXQ}{EXQ(g6,r24)}\right) }
+\sum_{s \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(exp{ \left(\href{#EN}{EN(s,g6,r24)}\right) }\right) }\right) } \]
Equation 3:
OUY
For
g8 in
goods_mc,
r24 in
regions (96 total):
\[ \href{#OUY}{OUY(g8,r24)} = ln{ \left(
exp{ \left(\href{#CON}{CON(g8,r24)}\right) }
+exp{ \left(\href{#IIN}{IIN(g8,r24)}\right) }
+\href{#INS}{INS(r24,g8)}
+exp{ \left(\href{#GCE}{GCE(g8,r24)}\right) }
+exp{ \left(\href{#EXQ}{EXQ(g8,r24)}\right) }
+\sum_{s \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(exp{ \left(\href{#OI}{OI(s,g8,r24)}\right) }\right) }\right) } \]
Equation 4:
OUY
For
g in
good_durable_manufacturing,
r24 in
regions (24 total):
\[ \href{#OUY}{OUY(g,r24)} = ln{ \left(
exp{ \left(\href{#IIN}{IIN(g,r24)}\right) }
+\href{#INS}{INS(r24,g)}
+exp{ \left(\href{#GCE}{GCE(g,r24)}\right) }
+exp{ \left(\href{#EXQ}{EXQ(g,r24)}\right) }
+\sum_{s \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(exp{ \left(\href{#OI}{OI(s,g,r24)}\right) }\right) }\right) } \]
Equation 5:
IMQ
For
g9 in
goods_o,
r24 in
regions (144 total):
\[ \href{#IMQ}{IMQ(g9,r24)} = ln{ \left(1-\href{#delta_dom}{delta\_dom(g9,r24)}\right) }
+\href{#OUY}{OUY(g9,r24)}
+\href{#sigma_df}{sigma\_df(g9,r24)}
*{(\href{#PRS}{PRS(g9,r24)}-\href{#PMR}{PMR(g9,r24)})} \]
Equation 6:
PIM
For
d in
dest,
g9 in
goods_o,
o1 in
orig (3456 total):
\[ \href{#PIM}{PIM(g9,d,o1)} = \href{#EXCH}{EXCH(o1)}+\href{#PRX}{PRX(g9,o1)}
-\href{#EXCH}{EXCH(d)} \]
Equation 7:
IMP
For
d in
dest,
g9 in
goods_o,
o1 in
orig (3456 total):
\[ \href{#IMP}{IMP(g9,d,o1)} = ln{ \left(
\href{#delta_ff}{delta\_ff(g9,d,o1)}
*exp{ \left(\href{#IMQ}{IMQ(g9,d)}\right) }
*{(\href{#carcoef}{carcoef(g9,d)}*\href{#TCP}{TCP(g9,d)}
+\href{#btucoef}{btucoef(g9,d)}*\href{#TBFI}{TBFI(d)}
+\href{#BCT}{BCT(g9,d,o1)}
+{(1
+{(\href{#TIM}{TIM(g9,d,o1)}+\href{#TIX}{TIX(g9,d)})}
*\href{#MUL}{MUL(d,o1)}
+\href{#TIF}{TIF(g9,d)}*\href{#FTA}{FTA(d,o1)})}
*exp{ \left(
\href{#PIM}{PIM(g9,d,o1)}-\href{#PMR}{PMR(g9,d)}\right) })}
^{(-\href{#sigma_ff}{sigma\_ff(g9,d)})}
+\href{#IMPX}{IMPX(g9,d,o1)}\right) } \]
Equation 8:
PMQ
For
d in
dest,
g9 in
goods_o (144 total):
\[ \href{#PMQ}{PMQ(g9,d)} = ln{ \left(
\sum_{o1 \; \text{in} \; \href{#orig}{orig}} { \left(exp{ \left(
\href{#IMP}{IMP(g9,d,o1)}+\href{#PIM}{PIM(g9,d,o1)}\right) }\right) }\right) }
-\href{#IMQ}{IMQ(g9,d)} \]
Equation 9:
IMQT
For
r24 in
regions (24 total):
\[ \href{#IMQT}{IMQT(r24)} = ln{ \left(
\sum_{g9 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(exp{ \left(
\href{#PMQ}{PMQ(g9,r24)}+\href{#IMQ}{IMQ(g9,r24)}\right) }\right) }\right) }
-\href{#PRIM}{PRIM(r24)} \]
Equation 10:
EXQT
For
r24 in
regions (24 total):
\[ \href{#EXQT}{EXQT(r24)} = ln{ \left(
\sum_{g9 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(exp{ \left(
\href{#PRX}{PRX(g9,r24)}+\href{#EXQ}{EXQ(g9,r24)}\right) }\right) }\right) }
-\href{#PRIX}{PRIX(r24)} \]
Equation 11:
EXQ
For
g9 in
goods_o,
o1 in
orig (144 total):
\[ \href{#EXQ}{EXQ(g9,o1)} = ln{ \left(
\sum_{d \; \text{in} \; \href{#dest}{dest}} { \left(exp{ \left(\href{#IMP}{IMP(g9,d,o1)}\right) }\right) }\right) } \]
Equation 12:
PRX
For
g9 in
goods_o,
r24 in
regions (144 total):
\[ \href{#PRX}{PRX(g9,r24)} = ln{ \left(
{(1+\href{#TEX}{TEX(g9,r24)})}
*exp{ \left(\href{#PRS}{PRS(g9,r24)}\right) }
-\href{#carcoef}{carcoef(g9,r24)}*\href{#TCP}{TCP(g9,r24)}
+\href{#btucoef}{btucoef(g9,r24)}*\href{#TBFX}{TBFX(r24)}\right) } \]
Equation 13:
OUG
For
g9 in
goods_o,
r24 in
regions (144 total):
\[ \href{#OUG}{OUG(g9,r24)} = ln{ \left(\href{#delta_dom}{delta\_dom(g9,r24)}\right) }
+\href{#OUY}{OUY(g9,r24)}
+\href{#sigma_df}{sigma\_df(g9,r24)}
*{(\href{#PRS}{PRS(g9,r24)}-\href{#PRD}{PRD(g9,r24)})} \]
Equation 14:
OUP
For
r24 in
regions,
s8 in
sectors (144 total):
\[ \href{#OUP}{OUP(s8,r24)} = ln{ \left(
\sum_{g5 \; \text{in} \; \href{#goods}{goods}} { \left(\href{#makeinv}{makeinv(g5,s8,r24)}
*exp{ \left(\href{#OUG}{OUG(g5,r24)}\right) }\right) }\right) } \]
Equation 15:
LAB
For
r24 in
regions,
s in
sec_std (144 total):
\[ \href{#LAB}{LAB(s,r24)} = {(\href{#sigma_o}{sigma\_o(s,r24)}-1)}
*{(\href{#SHL}{SHL(r24,s)}+\href{#SHY}{SHY(s,r24)})}
+ln{ \left(
\href{#delta_o}{delta\_o(\text{l},s,r24)}\right) }
+\href{#OUP}{OUP(s,r24)}
+\href{#sigma_o}{sigma\_o(s,r24)}
*{(\href{#PRP}{PRP(s,r24)}-\href{#WAG}{WAG(s,r24)})} \]
Equation 16:
ENT
For
r24 in
regions,
s in
sec_std (144 total):
\[ \href{#ENT}{ENT(s,r24)} = {(\href{#sigma_o}{sigma\_o(s,r24)}-1)}
*{(\href{#SHEF}{SHEF(s,r24)}+\href{#SHY}{SHY(s,r24)})}
+ln{ \left(
\href{#delta_o}{delta\_o(\text{e},s,r24)}\right) }
+\href{#OUP}{OUP(s,r24)}
+\href{#sigma_o}{sigma\_o(s,r24)}
*{(\href{#PRP}{PRP(s,r24)}-\href{#PRE}{PRE(s,r24)})} \]
Equation 17:
OIN
For
r24 in
regions,
s in
sec_std (144 total):
\[ \href{#OIN}{OIN(s,r24)} = {(\href{#sigma_o}{sigma\_o(s,r24)}-1)}*\href{#SHY}{SHY(s,r24)}
+ln{ \left(
\href{#delta_o}{delta\_o(\text{m},s,r24)}\right) }
+\href{#OUP}{OUP(s,r24)}
+\href{#sigma_o}{sigma\_o(s,r24)}
*{(\href{#PRP}{PRP(s,r24)}-\href{#POI}{POI(s,r24)})} \]
Equation 18:
IITL
For
r24 in
regions (24 total):
\[ \href{#IITL}{IITL(r24)} = {(\href{#sigma_oR}{sigma\_oR(r24)}-1)}
*{(\href{#SHLY}{SHLY(r24)}+\href{#SHYY}{SHYY(r24)})}
+ln{ \left(
\href{#delta_oR}{delta\_oR(\text{l},r24)}\right) }
+\href{#INVT}{INVT(r24)}
+\href{#sigma_oR}{sigma\_oR(r24)}
*{(\href{#PRII}{PRII(r24)}-\href{#WAGE}{WAGE(r24)})} \]
Equation 19:
IITE
For
r24 in
regions (24 total):
\[ \href{#IITE}{IITE(r24)} = {(\href{#sigma_oR}{sigma\_oR(r24)}-1)}*\href{#SHYY}{SHYY(r24)}
+ln{ \left(
\href{#delta_oR}{delta\_oR(\text{e},r24)}\right) }
+\href{#INVT}{INVT(r24)}
+\href{#sigma_oR}{sigma\_oR(r24)}
*{(\href{#PRII}{PRII(r24)}-\href{#PRIE}{PRIE(r24)})} \]
Equation 20:
IITO
For
r24 in
regions (24 total):
\[ \href{#IITO}{IITO(r24)} = {(\href{#sigma_oR}{sigma\_oR(r24)}-1)}*\href{#SHYY}{SHYY(r24)}
+ln{ \left(
\href{#delta_oR}{delta\_oR(\text{m},r24)}\right) }
+\href{#INVT}{INVT(r24)}
+\href{#sigma_oR}{sigma\_oR(r24)}
*{(\href{#PRII}{PRII(r24)}-\href{#PROI}{PROI(r24)})} \]
Equation 21:
IIN
For
g6 in
goods_e,
r24 in
regions (24 total):
\[ \href{#IIN}{IIN(g6,r24)} = ln{ \left(\href{#delta_eR}{delta\_eR(g6,r24)}\right) }
+\href{#IITE}{IITE(r24)}
+\href{#sigma_eR}{sigma\_eR(r24)}
*{(\href{#PRIE}{PRIE(r24)}-\href{#PRY}{PRY(g6,r24)})} \]
Equation 22:
IIN
For
g7 in
goods_m,
r24 in
regions (120 total):
\[ \href{#IIN}{IIN(g7,r24)} = ln{ \left(\href{#delta_mR}{delta\_mR(g7,r24)}\right) }
+\href{#IITO}{IITO(r24)}
+\href{#sigma_mR}{sigma\_mR(r24)}
*{(\href{#PROI}{PROI(r24)}-\href{#PRY}{PRY(g7,r24)})} \]
Equation 23:
LABO
For
r24 in
regions (24 total):
\[ \href{#LABO}{LABO(r24)} = ln{ \left(
exp{ \left(\href{#IITL}{IITL(r24)}\right) }
+exp{ \left(\href{#CNPL}{CNPL(r24)}\right) }
+\href{#GOVL}{GOVL(r24)}
+\sum_{s \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(exp{ \left(\href{#LAB}{LAB(s,r24)}\right) }\right) }\right) } \]
Equation 24:
PRS
For
g9 in
goods_o,
r24 in
regions (144 total):
\[ \href{#PRS}{PRS(g9,r24)} = \href{#cd_df}{cd\_df(g9,r24)}
*{(\href{#delta_dom}{delta\_dom(g9,r24)}*\href{#PRD}{PRD(g9,r24)}
+{(1-\href{#delta_dom}{delta\_dom(g9,r24)})}
*\href{#PMR}{PMR(g9,r24)})}
+\frac{{({(1-\href{#cd_df}{cd\_df(g9,r24)})}
*ln{ \left(
\href{#delta_dom}{delta\_dom(g9,r24)}
*exp{ \left(\href{#PRD}{PRD(g9,r24)}\right) }
^{(1-\href{#sigma_df}{sigma\_df(g9,r24)})}
+{(1-\href{#delta_dom}{delta\_dom(g9,r24)})}
*exp{ \left(\href{#PMR}{PMR(g9,r24)}\right) }
^{(1-\href{#sigma_df}{sigma\_df(g9,r24)})}\right) })}}{{(1
-\href{#sigma_df}{sigma\_df(g9,r24)}*{(1-\href{#cd_df}{cd\_df(g9,r24)})})}} \]
Equation 25:
PRY
For
g5 in
goods,
r24 in
regions (144 total):
\[ \href{#PRY}{PRY(g5,r24)} = ln{ \left(1+\href{#TAX}{TAX(g5,r24)}\right) }
+\href{#PRS}{PRS(g5,r24)} \]
Equation 26:
PMR
For
d in
dest,
g9 in
goods_o (144 total):
\[ \href{#PMR}{PMR(g9,d)} = 0.0
+\href{#cd_ff}{cd\_ff(g9,d)}
*\sum_{o1 \; \text{in} \; \href{#orig}{orig}} { \left(\href{#delta_ff}{delta\_ff(g9,d,o1)}
*ln{ \left(
\href{#carcoef}{carcoef(g9,d)}*\href{#TCP}{TCP(g9,d)}
+\href{#btucoef}{btucoef(g9,d)}*\href{#TBFI}{TBFI(d)}
+\href{#BCT}{BCT(g9,d,o1)}
+{(1
+{(\href{#TIM}{TIM(g9,d,o1)}+\href{#TIX}{TIX(g9,d)})}
*\href{#MUL}{MUL(d,o1)}
+\href{#TIF}{TIF(g9,d)}*\href{#FTA}{FTA(d,o1)})}
*exp{ \left(\href{#PIM}{PIM(g9,d,o1)}\right) }\right) }\right) }
+\frac{{({(1-\href{#cd_ff}{cd\_ff(g9,d)})}
*ln{ \left(
\sum_{o1 \; \text{in} \; \href{#orig}{orig}} { \left(\href{#delta_ff}{delta\_ff(g9,d,o1)}
*{(\href{#carcoef}{carcoef(g9,d)}*\href{#TCP}{TCP(g9,d)}
+\href{#btucoef}{btucoef(g9,d)}*\href{#TBFI}{TBFI(d)}
+\href{#BCT}{BCT(g9,d,o1)}
+{(1
+{(\href{#TIM}{TIM(g9,d,o1)}+\href{#TIX}{TIX(g9,d)})}
*\href{#MUL}{MUL(d,o1)}
+\href{#TIF}{TIF(g9,d)}*\href{#FTA}{FTA(d,o1)})}
*exp{ \left(\href{#PIM}{PIM(g9,d,o1)}\right) })}
^{(1-\href{#sigma_ff}{sigma\_ff(g9,d)})}\right) }\right) })}}{{(1
-\href{#sigma_ff}{sigma\_ff(g9,d)}*{(1-\href{#cd_ff}{cd\_ff(g9,d)})})}} \]
Equation 27:
PRIM
For
r24 in
regions (24 total):
\[ \href{#PRIM}{PRIM(r24)} = \sum_{g9 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(\href{#prim_weight}{prim\_weight(g9,r24)}
*\href{#PMQ}{PMQ(g9,r24)}\right) } \]
Equation 28:
PRIE
For
r24 in
regions (24 total):
\[ \href{#PRIE}{PRIE(r24)} = \href{#cd_eR}{cd\_eR(r24)}
*\sum_{g6 \; \text{in} \; \href{#goods_e}{goods\_e}} { \left(\href{#delta_eR}{delta\_eR(g6,r24)}*\href{#PRY}{PRY(g6,r24)}\right) }
+\frac{{({(1-\href{#cd_eR}{cd\_eR(r24)})}
*ln{ \left(
\sum_{g6 \; \text{in} \; \href{#goods_e}{goods\_e}} { \left(\href{#delta_eR}{delta\_eR(g6,r24)}
*exp{ \left(\href{#PRY}{PRY(g6,r24)}\right) }
^{(1-\href{#sigma_eR}{sigma\_eR(r24)})}\right) }\right) })}}{{(1
-\href{#sigma_eR}{sigma\_eR(r24)}*{(1-\href{#cd_eR}{cd\_eR(r24)})})}} \]
Equation 29:
PROI
For
r24 in
regions (24 total):
\[ \href{#PROI}{PROI(r24)} = \href{#cd_mR}{cd\_mR(r24)}
*\sum_{g7 \; \text{in} \; \href{#goods_m}{goods\_m}} { \left(\href{#delta_mR}{delta\_mR(g7,r24)}*\href{#PRY}{PRY(g7,r24)}\right) }
+\frac{{({(1-\href{#cd_mR}{cd\_mR(r24)})}
*ln{ \left(
\sum_{g7 \; \text{in} \; \href{#goods_m}{goods\_m}} { \left(\href{#delta_mR}{delta\_mR(g7,r24)}
*exp{ \left(\href{#PRY}{PRY(g7,r24)}\right) }
^{(1-\href{#sigma_mR}{sigma\_mR(r24)})}\right) }\right) })}}{{(1
-\href{#sigma_mR}{sigma\_mR(r24)}*{(1-\href{#cd_mR}{cd\_mR(r24)})})}} \]
Equation 30:
PRD
For
g5 in
goods,
r24 in
regions (144 total):
\[ \href{#PRD}{PRD(g5,r24)} = ln{ \left(
exp{ \left(
\sum_{s8 \; \text{in} \; \href{#sectors}{sectors}} { \left(\href{#makeinv}{makeinv(g5,s8,r24)}*\href{#PRP}{PRP(s8,r24)}\right) }\right) }
+\href{#carcoef}{carcoef(g5,r24)}*\href{#TCP}{TCP(g5,r24)}
+\href{#btucoef}{btucoef(g5,r24)}*\href{#TBFD}{TBFD(r24)}\right) } \]
Equation 31:
PRP
For
r24 in
regions,
s in
sec_std (144 total):
\[ \href{#PRP}{PRP(s,r24)} = \href{#cd_o}{cd\_o(s,r24)}
*{(\href{#delta_o}{delta\_o(\text{k},s,r24)}
*\href{#PRK}{PRK(s,r24)}
+\href{#delta_o}{delta\_o(\text{l},s,r24)}
*\href{#WAG}{WAG(s,r24)}
+\href{#delta_o}{delta\_o(\text{e},s,r24)}
*\href{#PRE}{PRE(s,r24)}
+\href{#delta_o}{delta\_o(\text{m},s,r24)}
*\href{#POI}{POI(s,r24)}
-\href{#delta_o}{delta\_o(\text{l},s,r24)}
*\href{#SHL}{SHL(r24,s)}
-\href{#delta_o}{delta\_o(\text{k},s,r24)}
*\href{#SHK}{SHK(s,r24)}
-\href{#delta_o}{delta\_o(\text{e},s,r24)}
*\href{#SHEF}{SHEF(s,r24)})}
+\frac{{({(1-\href{#cd_o}{cd\_o(s,r24)})}
*ln{ \left(
\href{#delta_o}{delta\_o(\text{k},s,r24)}
*exp{ \left(
\href{#PRK}{PRK(s,r24)}-\href{#SHK}{SHK(s,r24)}\right) }
^{(1-\href{#sigma_o}{sigma\_o(s,r24)})}
+\href{#delta_o}{delta\_o(\text{l},s,r24)}
*exp{ \left(
\href{#WAG}{WAG(s,r24)}-\href{#SHL}{SHL(r24,s)}\right) }
^{(1-\href{#sigma_o}{sigma\_o(s,r24)})}
+\href{#delta_o}{delta\_o(\text{e},s,r24)}
*exp{ \left(
\href{#PRE}{PRE(s,r24)}-\href{#SHEF}{SHEF(s,r24)}\right) }
^{(1-\href{#sigma_o}{sigma\_o(s,r24)})}
+\href{#delta_o}{delta\_o(\text{m},s,r24)}
*exp{ \left(\href{#POI}{POI(s,r24)}\right) }
^{(1-\href{#sigma_o}{sigma\_o(s,r24)})}\right) })}}{{(1
-\href{#sigma_o}{sigma\_o(s,r24)}*{(1-\href{#cd_o}{cd\_o(s,r24)})})}}
-\href{#SHY}{SHY(s,r24)} \]
Equation 32:
PRII
For
r24 in
regions (24 total):
\[ \href{#PRII}{PRII(r24)} = \href{#cd_oR}{cd\_oR(r24)}
*{(\href{#delta_oR}{delta\_oR(\text{k},r24)}
*\href{#PRKY}{PRKY(r24)}
+\href{#delta_oR}{delta\_oR(\text{l},r24)}
*\href{#WAGE}{WAGE(r24)}
+\href{#delta_oR}{delta\_oR(\text{e},r24)}
*\href{#PRIE}{PRIE(r24)}
+\href{#delta_oR}{delta\_oR(\text{m},r24)}
*\href{#PROI}{PROI(r24)}
-\href{#delta_oR}{delta\_oR(\text{l},r24)}
*\href{#SHLY}{SHLY(r24)})}
+\frac{{({(1-\href{#cd_oR}{cd\_oR(r24)})}
*ln{ \left(
\href{#delta_oR}{delta\_oR(\text{k},r24)}
*exp{ \left(\href{#PRKY}{PRKY(r24)}\right) }
^{(1-\href{#sigma_oR}{sigma\_oR(r24)})}
+\href{#delta_oR}{delta\_oR(\text{l},r24)}
*exp{ \left(
\href{#WAGE}{WAGE(r24)}-\href{#SHLY}{SHLY(r24)}\right) }
^{(1-\href{#sigma_oR}{sigma\_oR(r24)})}
+\href{#delta_oR}{delta\_oR(\text{e},r24)}
*exp{ \left(\href{#PRIE}{PRIE(r24)}\right) }
^{(1-\href{#sigma_oR}{sigma\_oR(r24)})}
+\href{#delta_oR}{delta\_oR(\text{m},r24)}
*exp{ \left(\href{#PROI}{PROI(r24)}\right) }
^{(1-\href{#sigma_oR}{sigma\_oR(r24)})}\right) })}}{{(1
-\href{#sigma_oR}{sigma\_oR(r24)}*{(1-\href{#cd_oR}{cd\_oR(r24)})})}}
-\href{#SHYY}{SHYY(r24)} \]
Equation 33:
PRK
For
r24 in
regions,
s in
sec_std (144 total):
\[ \href{#PRK}{PRK(s,r24)} = \href{#PRP}{PRP(s,r24)}
+\frac{{(ln{ \left(
\href{#delta_o}{delta\_o(\text{k},s,r24)}\right) }
+\href{#OUP}{OUP(s,r24)}
-\href{#CAP}{CAP(s,r24)})}}{\href{#sigma_o}{sigma\_o(s,r24)}}
+\frac{{({(\href{#SHY}{SHY(s,r24)}+\href{#SHK}{SHK(s,r24)})}
*{(\href{#sigma_o}{sigma\_o(s,r24)}-1)})}}{\href{#sigma_o}{sigma\_o(s,r24)}} \]
Equation 34:
PRKY
For
r24 in
regions (24 total):
\[ \href{#PRKY}{PRKY(r24)} = \href{#PRII}{PRII(r24)}
+\frac{{(ln{ \left(
\href{#delta_oR}{delta\_oR(\text{k},r24)}\right) }
+\href{#INVT}{INVT(r24)}
-\href{#CAPY}{CAPY(r24)})}}{\href{#sigma_oR}{sigma\_oR(r24)}}
+\frac{{(\href{#SHYY}{SHYY(r24)}*{(\href{#sigma_oR}{sigma\_oR(r24)}-1)})}}{\href{#sigma_oR}{sigma\_oR(r24)}} \]
Equation 35:
PRKZ
For
r24 in
regions (24 total):
\[ \href{#PRKZ}{PRKZ(r24)} = \href{#PRCT}{PRCT(r24)}
+\frac{{(ln{ \left(
\href{#delta_oH}{delta\_oH(\text{k},r24)}\right) }
+\href{#CONP}{CONP(r24)}
-\href{#CAPZ}{CAPZ(r24)})}}{\href{#sigma_oH}{sigma\_oH(r24)}}
+\frac{{(\href{#SHYZ}{SHYZ(r24)}*{(\href{#sigma_oH}{sigma\_oH(r24)}-1)})}}{\href{#sigma_oH}{sigma\_oH(r24)}} \]
Equation 36:
WAGE
For
r24 in
regions (24 total):
\[ lead({\href{#WAGE}{WAGE(r24)}}) = \href{#WAGE}{WAGE(r24)}
+\href{#wage_p}{wage\_p(r24)}
*{(lead({\href{#PRCT}{PRCT(r24)}})+\href{#PRXX}{PRXX(r24)}
-\href{#PRCT}{PRCT(r24)})}
+{(1-\href{#wage_p}{wage\_p(r24)})}
*{(\href{#PRCT}{PRCT(r24)}-\href{#PRCL}{PRCL(r24)})}
+\href{#wage_q}{wage\_q(r24)}*\href{#LABO}{LABO(r24)} \]
Equation 37:
WAGG
For
r24 in
regions (24 total):
\[ \href{#WAGG}{WAGG(r24)} = \href{#WAGE}{WAGE(r24)} \]
Equation 38:
WAG
For
r24 in
regions,
s in
sec_std (144 total):
\[ \href{#WAG}{WAG(s,r24)} = \href{#WAGE}{WAGE(r24)} \]
Equation 39:
CAP
For
r24 in
regions,
s in
sec_std (144 total):
\[ lead({\href{#CAP}{CAP(s,r24)}}) = ln{ \left(
exp{ \left(\href{#JNV}{JNV(s,r24)}\right) }
+{(1-\href{#delta}{delta(r24)}-\href{#labgrow}{labgrow(r24)})}
*exp{ \left(\href{#CAP}{CAP(s,r24)}\right) }\right) } \]
Equation 40:
CAPY
For
r24 in
regions (24 total):
\[ lead({\href{#CAPY}{CAPY(r24)}}) = ln{ \left(
exp{ \left(\href{#JNVY}{JNVY(r24)}\right) }
+{(1-\href{#delta}{delta(r24)}-\href{#labgrow}{labgrow(r24)})}
*exp{ \left(\href{#CAPY}{CAPY(r24)}\right) }\right) } \]
Equation 41:
CAPZ
For
r24 in
regions (24 total):
\[ lead({\href{#CAPZ}{CAPZ(r24)}}) = ln{ \left(
exp{ \left(\href{#JNVZ}{JNVZ(r24)}\right) }
+{(1-\href{#delta}{delta(r24)}-\href{#labgrow}{labgrow(r24)})}
*exp{ \left(\href{#CAPZ}{CAPZ(r24)}\right) }\right) } \]
Equation 42:
INV
For
r24 in
regions,
s in
sec_std (144 total):
\[ \href{#INV}{INV(s,r24)} = ln{ \left(
\frac{{({(1
+0.5
*{(exp{ \left(\href{#TOB}{TOB(s,r24)}\right) }
-1)})}
*{(exp{ \left(\href{#TOB}{TOB(s,r24)}\right) }
-1)}
*exp{ \left(\href{#CAP}{CAP(s,r24)}\right) })}}{\href{#phi}{phi(s,r24)}}
*\href{#forei}{forei(s,r24)}
+\frac{{({(1
+0.5
*{(exp{ \left(\href{#TPA}{TPA(s,r24)}\right) }
-1)})}
*{(exp{ \left(\href{#TPA}{TPA(s,r24)}\right) }
-1)}
*exp{ \left(\href{#CAP}{CAP(s,r24)}\right) })}}{\href{#phi}{phi(s,r24)}}
*{(1-\href{#forei}{forei(s,r24)})}
+\href{#SHKI}{SHKI(r24,s)}\right) } \]
Equation 43:
JNV
For
r24 in
regions,
s in
sec_std (144 total):
\[ \href{#JNV}{JNV(s,r24)} = ln{ \left(
exp{ \left(\href{#INV}{INV(s,r24)}\right) }
+\frac{\href{#phi}{phi(s,r24)}}{2}*\href{#base_jk}{base\_jk(s,r24)}^2
*exp{ \left(\href{#CAP}{CAP(s,r24)}\right) }\right) }
-ln{ \left(
1
+\href{#phi}{phi(s,r24)}*\href{#base_jk}{base\_jk(s,r24)}\right) } \]
Equation 44:
INVY
For
r24 in
regions (24 total):
\[ \href{#INVY}{INVY(r24)} = \href{#JNVY}{JNVY(r24)}
+ln{ \left(
1
+\frac{\href{#phi_y}{phi\_y(r24)}}{2}
*exp{ \left(
\href{#JNVY}{JNVY(r24)}-\href{#CAPY}{CAPY(r24)}\right) }\right) } \]
Equation 45:
INVZ
For
r24 in
regions (24 total):
\[ \href{#INVZ}{INVZ(r24)} = \href{#JNVZ}{JNVZ(r24)}
+ln{ \left(
1
+\frac{\href{#phi_z}{phi\_z(r24)}}{2}
*exp{ \left(
\href{#JNVZ}{JNVZ(r24)}-\href{#CAPZ}{CAPZ(r24)}\right) }\right) } \]
Equation 46:
JNVY
For
r24 in
regions (24 total):
\[ \href{#JNVY}{JNVY(r24)} = \href{#CAPY}{CAPY(r24)}
+ln{ \left(
\href{#fore_i_y}{fore\_i\_y(r24)}
*exp{ \left(\href{#TOBY}{TOBY(r24)}\right) }
+{(1-\href{#fore_i_y}{fore\_i\_y(r24)})}
*exp{ \left(\href{#TPAY}{TPAY(r24)}\right) }
-1\right) }
-ln{ \left(\href{#phi_y}{phi\_y(r24)}\right) } \]
Equation 47:
JNVZ
For
r24 in
regions (24 total):
\[ \href{#JNVZ}{JNVZ(r24)} = \href{#CAPZ}{CAPZ(r24)}
+ln{ \left(
\href{#fore_i_z}{fore\_i\_z(r24)}
*exp{ \left(\href{#TOBZ}{TOBZ(r24)}\right) }
+{(1-\href{#fore_i_z}{fore\_i\_z(r24)})}
*exp{ \left(\href{#TPAZ}{TPAZ(r24)}\right) }
-1\right) }
-ln{ \left(\href{#phi_z}{phi\_z(r24)}\right) } \]
Equation 48:
LAM
For
r24 in
regions,
s in
sec_std (144 total):
\[ lead({\href{#LAM}{LAM(s,r24)}}) = ln{ \left(
{(1+\href{#INTR}{INTR(r24)}+\href{#RISE}{RISE(s,r24)}
+\href{#delta}{delta(r24)})}
*exp{ \left(\href{#LAM}{LAM(s,r24)}\right) }
-{(1-\href{#TCOR}{TCOR(r24)})}
*exp{ \left(
\href{#PRK}{PRK(s,r24)}-\href{#PRID}{PRID(r24)}\right) }
-{(1-\href{#TITC}{TITC(s,r24)})}
*exp{ \left(
\href{#PRII}{PRII(r24)}-\href{#PRID}{PRID(r24)}
+2
*{(\href{#JNV}{JNV(s,r24)}-\href{#CAP}{CAP(s,r24)})}\right) }
*\frac{\href{#phi}{phi(s,r24)}}{2}\right) } \]
Equation 49:
LAMY
For
r24 in
regions (24 total):
\[ lead({\href{#LAMY}{LAMY(r24)}}) = ln{ \left(
{(1+\href{#INTR}{INTR(r24)}+\href{#RISY}{RISY(r24)}
+\href{#delta}{delta(r24)})}
*exp{ \left(\href{#LAMY}{LAMY(r24)}\right) }
-{(1-\href{#TCOR}{TCOR(r24)})}
*exp{ \left(
\href{#PRKY}{PRKY(r24)}-\href{#PRID}{PRID(r24)}\right) }
-exp{ \left(
\href{#PRII}{PRII(r24)}-\href{#PRID}{PRID(r24)}
+2
*{(\href{#JNVY}{JNVY(r24)}-\href{#CAPY}{CAPY(r24)})}\right) }
*\frac{\href{#phi_y}{phi\_y(r24)}}{2}\right) } \]
Equation 50:
LAMZ
For
r24 in
regions (24 total):
\[ lead({\href{#LAMZ}{LAMZ(r24)}}) = ln{ \left(
{(1+\href{#INTR}{INTR(r24)}+\href{#RISZ}{RISZ(r24)}
+\href{#delta}{delta(r24)})}
*exp{ \left(\href{#LAMZ}{LAMZ(r24)}\right) }
-exp{ \left(
\href{#PRKZ}{PRKZ(r24)}-\href{#PRID}{PRID(r24)}\right) }
-{(1-\href{#TITCH}{TITCH(r24)})}
*exp{ \left(
\href{#PRII}{PRII(r24)}-\href{#PRID}{PRID(r24)}
+2
*{(\href{#JNVZ}{JNVZ(r24)}-\href{#CAPZ}{CAPZ(r24)})}\right) }
*\frac{\href{#phi_z}{phi\_z(r24)}}{2}\right) } \]
Equation 51:
TOB
For
r24 in
regions,
s in
sec_std (144 total):
\[ \href{#TOB}{TOB(s,r24)} = \href{#LAM}{LAM(s,r24)}
+\href{#PRID}{PRID(r24)}-\href{#PRII}{PRII(r24)}
-ln{ \left(1-\href{#TITC}{TITC(s,r24)}\right) } \]
Equation 52:
TOBY
For
r24 in
regions (24 total):
\[ \href{#TOBY}{TOBY(r24)} = \href{#LAMY}{LAMY(r24)}
+\href{#PRID}{PRID(r24)}-\href{#PRII}{PRII(r24)} \]
Equation 53:
TOBZ
For
r24 in
regions (24 total):
\[ \href{#TOBZ}{TOBZ(r24)} = \href{#LAMZ}{LAMZ(r24)}
+\href{#PRID}{PRID(r24)}-\href{#PRII}{PRII(r24)}
-ln{ \left(1-\href{#TITCH}{TITCH(r24)}\right) } \]
Equation 54:
TPA
For
r24 in
regions,
s in
sec_std (144 total):
\[ lead({\href{#TPA}{TPA(s,r24)}}) = ln{ \left(
exp{ \left(\href{#TPA}{TPA(s,r24)}\right) }
+\href{#adapt}{adapt(r24)}
*{(exp{ \left(\href{#TOB}{TOB(s,r24)}\right) }
-exp{ \left(\href{#TPA}{TPA(s,r24)}\right) })}\right) } \]
Equation 55:
TPAY
For
r24 in
regions (24 total):
\[ lead({\href{#TPAY}{TPAY(r24)}}) = ln{ \left(
exp{ \left(\href{#TPAY}{TPAY(r24)}\right) }
+\href{#adapt}{adapt(r24)}
*{(exp{ \left(\href{#TOBY}{TOBY(r24)}\right) }
-exp{ \left(\href{#TPAY}{TPAY(r24)}\right) })}\right) } \]
Equation 56:
TPAZ
For
r24 in
regions (24 total):
\[ lead({\href{#TPAZ}{TPAZ(r24)}}) = ln{ \left(
exp{ \left(\href{#TPAZ}{TPAZ(r24)}\right) }
+\href{#adapt}{adapt(r24)}
*{(exp{ \left(\href{#TOBZ}{TOBZ(r24)}\right) }
-exp{ \left(\href{#TPAZ}{TPAZ(r24)}\right) })}\right) } \]
Equation 57:
PRF
For
r24 in
regions,
s in
sec_std (144 total):
\[ \href{#PRF}{PRF(s,r24)} = \frac{{(exp{ \left(
\href{#OUP}{OUP(s,r24)}+\href{#PRP}{PRP(s,r24)}\right) }
-exp{ \left(
\href{#ENT}{ENT(s,r24)}+\href{#PRE}{PRE(s,r24)}\right) }
-exp{ \left(
\href{#LAB}{LAB(s,r24)}+\href{#WAG}{WAG(s,r24)}\right) }
-exp{ \left(
\href{#OIN}{OIN(s,r24)}+\href{#POI}{POI(s,r24)}\right) }
-{(1-\href{#TITC}{TITC(s,r24)})}
*exp{ \left(
\href{#INV}{INV(s,r24)}+\href{#PRII}{PRII(r24)}\right) })}}{exp{ \left(\href{#PRID}{PRID(r24)}\right) }} \]
Equation 58:
PRFY
For
r24 in
regions (24 total):
\[ \href{#PRFY}{PRFY(r24)} = \frac{{(exp{ \left(
\href{#INVT}{INVT(r24)}+\href{#PRII}{PRII(r24)}\right) }
-exp{ \left(
\href{#IITE}{IITE(r24)}+\href{#PRIE}{PRIE(r24)}\right) }
-exp{ \left(
\href{#IITL}{IITL(r24)}+\href{#WAGE}{WAGE(r24)}\right) }
-exp{ \left(
\href{#IITO}{IITO(r24)}+\href{#PROI}{PROI(r24)}\right) }
-exp{ \left(
\href{#INVY}{INVY(r24)}+\href{#PRII}{PRII(r24)}\right) })}}{exp{ \left(\href{#PRID}{PRID(r24)}\right) }} \]
Equation 59:
PRFZ
For
r24 in
regions (24 total):
\[ \href{#PRFZ}{PRFZ(r24)} = \frac{{(exp{ \left(
\href{#CONP}{CONP(r24)}+\href{#PRCT}{PRCT(r24)}\right) }
-exp{ \left(
\href{#CNPE}{CNPE(r24)}+\href{#PRCE}{PRCE(r24)}\right) }
-exp{ \left(
\href{#CNPL}{CNPL(r24)}+\href{#WAGE}{WAGE(r24)}\right) }
-exp{ \left(
\href{#CNPO}{CNPO(r24)}+\href{#PRCO}{PRCO(r24)}\right) }
-{(1-\href{#TITCH}{TITCH(r24)})}
*exp{ \left(
\href{#INVZ}{INVZ(r24)}+\href{#PRII}{PRII(r24)}\right) })}}{exp{ \left(\href{#PRID}{PRID(r24)}\right) }} \]
Equation 60:
PRFT
For
r24 in
regions (24 total):
\[ \href{#PRFT}{PRFT(r24)} = \sum_{s \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(\href{#PRF}{PRF(s,r24)}\right) }
+\href{#PRFY}{PRFY(r24)} \]
Equation 61:
STM
For
r24 in
regions,
s in
sec_std (144 total):
\[ \href{#STM}{STM(s,r24)} = \href{#LAM}{LAM(s,r24)}+\href{#CAP}{CAP(s,r24)}
-ln{ \left(1-\href{#TITC}{TITC(s,r24)}\right) } \]
Equation 62:
STMT
For
r24 in
regions (24 total):
\[ \href{#STMT}{STMT(r24)} = ln{ \left(
\sum_{s \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(exp{ \left(\href{#STM}{STM(s,r24)}\right) }\right) }\right) } \]
Equation 63:
INVP
For
r24 in
regions (24 total):
\[ \href{#INVP}{INVP(r24)} = ln{ \left(
\sum_{s \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(exp{ \left(\href{#INV}{INV(s,r24)}\right) }\right) }\right) } \]
Equation 64:
INVT
For
r24 in
regions (24 total):
\[ \href{#INVT}{INVT(r24)} = ln{ \left(
exp{ \left(\href{#INVY}{INVY(r24)}\right) }
+exp{ \left(\href{#INVZ}{INVZ(r24)}\right) }
+exp{ \left(\href{#INVP}{INVP(r24)}\right) }\right) } \]
Equation 65:
PRID
For
r24 in
regions (24 total):
\[ \href{#PRID}{PRID(r24)} = \sum_{g5 \; \text{in} \; \href{#goods}{goods}} { \left(\href{#prid_weight}{prid\_weight(g5,r24)}
*\href{#PRD}{PRD(g5,r24)}\right) } \]
Equation 66:
PRIX
For
r24 in
regions (24 total):
\[ \href{#PRIX}{PRIX(r24)} = \sum_{g9 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(\href{#prix_weight}{prix\_weight(g9,r24)}
*\href{#PRX}{PRX(g9,r24)}\right) } \]
Equation 67:
OUTP
For
r24 in
regions (24 total):
\[ \href{#OUTP}{OUTP(r24)} = ln{ \left(
\sum_{g5 \; \text{in} \; \href{#goods}{goods}} { \left(exp{ \left(
\href{#PRD}{PRD(g5,r24)}+\href{#OUG}{OUG(g5,r24)}\right) }\right) }\right) }
-\href{#PRID}{PRID(r24)} \]
Equation 68:
OUTL
For
r24 in
regions (24 total):
\[ lead({\href{#OUTL}{OUTL(r24)}}) = \href{#OUTP}{OUTP(r24)} \]
Equation 69:
INCM
For
r24 in
regions (24 total):
\[ \href{#INCM}{INCM(r24)} = ln{ \left(
\href{#TRAN}{TRAN(r24)}-\href{#TAXL}{TAXL(r24)}
+\href{#INTR}{INTR(r24)}*\href{#BOND}{BOND(r24)}
+\frac{\href{#IRAS}{IRAS(r24)}}{exp{ \left(\href{#REXN}{REXN(r24)}\right) }}
+\href{#PRFZ}{PRFZ(r24)}
+{(1-\href{#TCOR}{TCOR(r24)})}*\href{#PRFT}{PRFT(r24)}
+\frac{{({(1-\href{#TINC}{TINC(r24)})}
*{(exp{ \left(
\href{#WAGE}{WAGE(r24)}+\href{#IITL}{IITL(r24)}\right) }
+exp{ \left(
\href{#WAGE}{WAGE(r24)}+\href{#CNPL}{CNPL(r24)}\right) }
+exp{ \left(\href{#WAGG}{WAGG(r24)}\right) }
*\href{#GOVL}{GOVL(r24)}
+\sum_{s \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(exp{ \left(
\href{#WAG}{WAG(s,r24)}+\href{#LAB}{LAB(s,r24)}\right) }\right) })})}}{exp{ \left(\href{#PRID}{PRID(r24)}\right) }}\right) } \]
Equation 70:
CONP
For
r24 in
regions (24 total):
\[ \href{#CONP}{CONP(r24)} = ln{ \left(
\href{#fore_c}{fore\_c(r24)}
*{(\href{#timepref}{timepref(r24)}+\href{#RISW}{RISW(r24)})}
*exp{ \left(
\href{#WELT}{WELT(r24)}+\href{#PRID}{PRID(r24)}
-\href{#PRCT}{PRCT(r24)}\right) }
+{(1-\href{#fore_c}{fore\_c(r24)})}*\href{#mpc}{mpc(r24)}
*exp{ \left(
\href{#INCM}{INCM(r24)}+\href{#PRID}{PRID(r24)}
-\href{#PRCT}{PRCT(r24)}\right) }
+\href{#SHKC}{SHKC(r24)}\right) } \]
Equation 71:
IRAS
For
o2 in
owner (24 total):
\[ \href{#IRAS}{IRAS(o2)} = \sum_{c \; \text{in} \; \href{#currency}{currency}} { \left(\href{#INTR}{INTR(c)}
*exp{ \left(\href{#REXN}{REXN(c)}\right) }
*\href{#ASSE}{ASSE(c,o2)}\right) } \]
Equation 72:
INAS
For
o2 in
owner (24 total):
\[ \href{#INAS}{INAS(o2)} = \sum_{c \; \text{in} \; \href{#currency}{currency}} { \left(\href{#INTN}{INTN(c)}
*exp{ \left(\href{#REXN}{REXN(c)}\right) }
*\href{#ASSE}{ASSE(c,o2)}\right) } \]
Equation 73:
CNPL
For
r24 in
regions (24 total):
\[ \href{#CNPL}{CNPL(r24)} = {(\href{#sigma_oH}{sigma\_oH(r24)}-1)}
*{(\href{#SHLZ}{SHLZ(r24)}+\href{#SHYZ}{SHYZ(r24)})}
+ln{ \left(
\href{#delta_oH}{delta\_oH(\text{l},r24)}\right) }
+\href{#CONP}{CONP(r24)}
+\href{#sigma_oH}{sigma\_oH(r24)}
*{(\href{#PRCT}{PRCT(r24)}-\href{#WAGE}{WAGE(r24)})} \]
Equation 74:
CNPE
For
r24 in
regions (24 total):
\[ \href{#CNPE}{CNPE(r24)} = {(\href{#sigma_oH}{sigma\_oH(r24)}-1)}
*{(\href{#SHEFC}{SHEFC(r24)}+\href{#SHYZ}{SHYZ(r24)})}
+ln{ \left(
\href{#delta_oH}{delta\_oH(\text{e},r24)}\right) }
+\href{#CONP}{CONP(r24)}
+\href{#sigma_oH}{sigma\_oH(r24)}
*{(\href{#PRCT}{PRCT(r24)}-\href{#PRCE}{PRCE(r24)})} \]
Equation 75:
CNPO
For
r24 in
regions (24 total):
\[ \href{#CNPO}{CNPO(r24)} = {(\href{#sigma_oH}{sigma\_oH(r24)}-1)}*\href{#SHYZ}{SHYZ(r24)}
+ln{ \left(
\href{#delta_oH}{delta\_oH(\text{m},r24)}\right) }
+\href{#CONP}{CONP(r24)}
+\href{#sigma_oH}{sigma\_oH(r24)}
*{(\href{#PRCT}{PRCT(r24)}-\href{#PRCO}{PRCO(r24)})} \]
Equation 76:
CNPK
For
r24 in
regions (24 total):
\[ \href{#CNPK}{CNPK(r24)} = {(\href{#sigma_oH}{sigma\_oH(r24)}-1)}*\href{#SHYZ}{SHYZ(r24)}
+ln{ \left(
\href{#delta_oH}{delta\_oH(\text{k},r24)}\right) }
+\href{#CONP}{CONP(r24)}
+\href{#sigma_oH}{sigma\_oH(r24)}
*{(\href{#PRCT}{PRCT(r24)}-\href{#PRKZ}{PRKZ(r24)})} \]
Equation 77:
PRCT
For
r24 in
regions (24 total):
\[ \href{#PRCT}{PRCT(r24)} = \href{#cd_oH}{cd\_oH(r24)}
*{(\href{#delta_oH}{delta\_oH(\text{k},r24)}
*\href{#PRKZ}{PRKZ(r24)}
+\href{#delta_oH}{delta\_oH(\text{l},r24)}
*\href{#WAGE}{WAGE(r24)}
+\href{#delta_oH}{delta\_oH(\text{e},r24)}
*\href{#PRCE}{PRCE(r24)}
+\href{#delta_oH}{delta\_oH(\text{m},r24)}
*\href{#PRCO}{PRCO(r24)}
-\href{#delta_oH}{delta\_oH(\text{l},r24)}
*\href{#SHLZ}{SHLZ(r24)}
-\href{#delta_oH}{delta\_oH(\text{e},r24)}
*\href{#SHEFC}{SHEFC(r24)})}
+\frac{{({(1-\href{#cd_oH}{cd\_oH(r24)})}
*ln{ \left(
\href{#delta_oH}{delta\_oH(\text{k},r24)}
*exp{ \left(\href{#PRKZ}{PRKZ(r24)}\right) }
^{(1-\href{#sigma_oH}{sigma\_oH(r24)})}
+\href{#delta_oH}{delta\_oH(\text{l},r24)}
*exp{ \left(
\href{#WAGE}{WAGE(r24)}-\href{#SHLZ}{SHLZ(r24)}\right) }
^{(1-\href{#sigma_oH}{sigma\_oH(r24)})}
+\href{#delta_oH}{delta\_oH(\text{e},r24)}
*exp{ \left(
\href{#PRCE}{PRCE(r24)}-\href{#SHEFC}{SHEFC(r24)}\right) }
^{(1-\href{#sigma_oH}{sigma\_oH(r24)})}
+\href{#delta_oH}{delta\_oH(\text{m},r24)}
*exp{ \left(\href{#PRCO}{PRCO(r24)}\right) }
^{(1-\href{#sigma_oH}{sigma\_oH(r24)})}\right) })}}{{(1
-\href{#sigma_oH}{sigma\_oH(r24)}*{(1-\href{#cd_oH}{cd\_oH(r24)})})}}
-\href{#SHYZ}{SHYZ(r24)} \]
Equation 78:
PRGT
For
r24 in
regions (24 total):
\[ \href{#PRGT}{PRGT(r24)} = \frac{\href{#delta_oG}{delta\_oG(\text{e},r24)}}{{(\href{#delta_oG}{delta\_oG(\text{e},r24)}
+\href{#delta_oG}{delta\_oG(\text{m},r24)})}}
*\sum_{g6 \; \text{in} \; \href{#goods_e}{goods\_e}} { \left(\href{#delta_eG}{delta\_eG(g6,r24)}*\href{#PRY}{PRY(g6,r24)}\right) }
+\frac{\href{#delta_oG}{delta\_oG(\text{m},r24)}}{{(\href{#delta_oG}{delta\_oG(\text{e},r24)}
+\href{#delta_oG}{delta\_oG(\text{m},r24)})}}
*\sum_{g7 \; \text{in} \; \href{#goods_m}{goods\_m}} { \left(\href{#delta_mG}{delta\_mG(g7,r24)}*\href{#PRY}{PRY(g7,r24)}\right) } \]
Equation 79:
MONE
For
r24 in
regions (24 total):
\[ \href{#MONE}{MONE(r24)} = \href{#PRID}{PRID(r24)}+\href{#OUTP}{OUTP(r24)}
+\href{#int_elast}{int\_elast(r24)}*\href{#INTN}{INTN(r24)}
+\href{#SHKM}{SHKM(r24)} \]
Equation 80:
INTF
For
r24 in
regions (24 total):
\[ \href{#INTF}{INTF(r24)} = \href{#INTN}{INTN(r24)}-lead({\href{#PRID}{PRID(r24)}})
+\href{#PRID}{PRID(r24)} \]
Equation 81:
INTR
For
r24 in
regions (24 total):
\[ \href{#INTR}{INTR(r24)} = \href{#INTF}{INTF(r24)}+\href{#RISR}{RISR(r24)} \]
Equation 82:
INFP
For
r24 in
regions (24 total):
\[ \href{#INFP}{INFP(r24)} = \href{#PRID}{PRID(r24)}-\href{#PRDL}{PRDL(r24)} \]
Equation 83:
PRCL
For
r24 in
regions (24 total):
\[ lead({\href{#PRCL}{PRCL(r24)}}) = \href{#PRCT}{PRCT(r24)} \]
Equation 84:
PRDL
For
r24 in
regions (24 total):
\[ lead({\href{#PRDL}{PRDL(r24)}}) = \href{#PRID}{PRID(r24)} \]
Equation 85:
GDPN
For
r24 in
regions (24 total):
\[ \href{#GDPN}{GDPN(r24)} = ln{ \left(
exp{ \left(
\href{#PRCT}{PRCT(r24)}+\href{#CONP}{CONP(r24)}\right) }
+exp{ \left(
\href{#PRID}{PRID(r24)}+\href{#GCET}{GCET(r24)}\right) }
+exp{ \left(
\href{#PRII}{PRII(r24)}+\href{#INVT}{INVT(r24)}\right) }
+exp{ \left(\href{#PRID}{PRID(r24)}\right) }
*\href{#TBAL}{TBAL(r24)}
+\sum_{g9 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(exp{ \left(\href{#PRII}{PRII(r24)}\right) }
*\href{#INS}{INS(r24,g9)}\right) }\right) } \]
Equation 86:
GDPR
For
r24 in
regions (24 total):
\[ \href{#GDPR}{GDPR(r24)} = ln{ \left(
exp{ \left(\href{#CONP}{CONP(r24)}\right) }
+exp{ \left(\href{#GCET}{GCET(r24)}\right) }
+exp{ \left(\href{#INVT}{INVT(r24)}\right) }
+\href{#TBAL}{TBAL(r24)}
+\sum_{g9 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(\href{#INS}{INS(r24,g9)}\right) }\right) } \]
Equation 87:
PGDP
For
r24 in
regions (24 total):
\[ \href{#PGDP}{PGDP(r24)} = \href{#GDPN}{GDPN(r24)}-\href{#GDPR}{GDPR(r24)} \]
Equation 88:
GNPR
For
r24 in
regions (24 total):
\[ \href{#GNPR}{GNPR(r24)} = ln{ \left(
exp{ \left(\href{#GDPR}{GDPR(r24)}\right) }
+\frac{{(\href{#PBAL}{PBAL(r24)}+\href{#IRAS}{IRAS(r24)})}}{exp{ \left(\href{#REXN}{REXN(r24)}\right) }}\right) } \]
Equation 89:
CURN
For
r24 in
regions (24 total):
\[ \href{#CURN}{CURN(r24)} = \href{#TBAL}{TBAL(r24)}
+\frac{{(\href{#PBAL}{PBAL(r24)}+\href{#INAS}{INAS(r24)})}}{exp{ \left(\href{#REXN}{REXN(r24)}\right) }} \]
Equation 90:
CURR
For
r24 in
regions (24 total):
\[ \href{#CURR}{CURR(r24)} = \href{#TBAU}{TBAU(r24)}+\href{#PBAL}{PBAL(r24)}
+\href{#IRAS}{IRAS(r24)} \]
Equation 91:
WELT
For
r24 in
regions (24 total):
\[ \href{#WELT}{WELT(r24)} = ln{ \left(
\href{#BOND}{BOND(r24)}
+\frac{\href{#ASSU}{ASSU(r24)}}{exp{ \left(\href{#REXN}{REXN(r24)}\right) }}
+\frac{{(\href{#mongdp}{mongdp(r24)}
*exp{ \left(\href{#MONE}{MONE(r24)}\right) })}}{exp{ \left(\href{#PRID}{PRID(r24)}\right) }}
+exp{ \left(\href{#WELH}{WELH(r24)}\right) }
+exp{ \left(
\href{#LAMY}{LAMY(r24)}+\href{#CAPY}{CAPY(r24)}\right) }
+exp{ \left(
\href{#LAMZ}{LAMZ(r24)}+\href{#CAPZ}{CAPZ(r24)}\right) }
+\sum_{s \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(exp{ \left(\href{#STM}{STM(s,r24)}\right) }\right) }\right) } \]
Equation 92:
WELH
For
r24 in
regions (24 total):
\[ lead({\href{#WELH}{WELH(r24)}}) = ln{ \left(
{(1+\href{#RISW}{RISW(r24)}+\href{#RISH}{RISH(r24)}
+\href{#INTR}{INTR(r24)}
-\href{#labgrow}{labgrow(r24)})}
*exp{ \left(\href{#WELH}{WELH(r24)}\right) }
-\href{#TRAN}{TRAN(r24)}
+exp{ \left(\href{#TAXH}{TAXH(r24)}\right) }
+\href{#TAXL}{TAXL(r24)}
-\frac{{(exp{ \left(
\href{#WAGE}{WAGE(r24)}+\href{#IITL}{IITL(r24)}\right) }
+exp{ \left(
\href{#WAGE}{WAGE(r24)}+\href{#CNPL}{CNPL(r24)}\right) }
+exp{ \left(\href{#WAGG}{WAGG(r24)}\right) }
*\href{#GOVL}{GOVL(r24)}
+\sum_{s \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(exp{ \left(
\href{#WAG}{WAG(s,r24)}+\href{#LAB}{LAB(s,r24)}\right) }\right) })}}{exp{ \left(\href{#PRID}{PRID(r24)}\right) }}\right) } \]
Equation 93:
SAVI
For
r24 in
regions (24 total):
\[ \href{#SAVI}{SAVI(r24)} = exp{ \left(
\href{#INVT}{INVT(r24)}+\href{#PRII}{PRII(r24)}
-\href{#PRID}{PRID(r24)}\right) }
+\frac{\href{#CURR}{CURR(r24)}}{exp{ \left(\href{#REXN}{REXN(r24)}\right) }}
+\href{#DEFI}{DEFI(r24)} \]
Equation 94:
SAVN
For
r24 in
regions (24 total):
\[ \href{#SAVN}{SAVN(r24)} = exp{ \left(
\href{#INVT}{INVT(r24)}+\href{#PRII}{PRII(r24)}
-\href{#PRID}{PRID(r24)}\right) }
+\href{#CURN}{CURN(r24)}
+\href{#DEFN}{DEFN(r24)} \]
Equation 95:
SAVT
For
r24 in
regions (24 total):
\[ \href{#SAVT}{SAVT(r24)} = exp{ \left(
\href{#INVT}{INVT(r24)}+\href{#PRII}{PRII(r24)}
-\href{#PRID}{PRID(r24)}\right) }
+\href{#CURN}{CURN(r24)} \]
Equation 96:
TBAL
For
r24 in
regions (24 total):
\[ \href{#TBAL}{TBAL(r24)} = exp{ \left(\href{#EXQT}{EXQT(r24)}\right) }
-exp{ \left(\href{#IMQT}{IMQT(r24)}\right) } \]
Equation 97:
TBAU
For
r24 in
regions (24 total):
\[ \href{#TBAU}{TBAU(r24)} = \href{#TBAL}{TBAL(r24)}
*exp{ \left(\href{#REXN}{REXN(r24)}\right) } \]
Equation 98:
EXCH
For
n3 in
notUSA (23 total):
\[ \href{#EXCH}{EXCH(n3)} = \href{#REXN}{REXN(n3)}-\href{#PRID}{PRID(n3)}
+\href{#PRID}{PRID(\text{USA})} \]
Equation 99:
EXCL
For
r24 in
regions (24 total):
\[ lead({\href{#EXCL}{EXCL(r24)}}) = \href{#EXCH}{EXCH(r24)} \]
Equation 100:
REXC
For
r24 in
regions (24 total):
\[ lead({\href{#REXC}{REXC(r24)}}) = \href{#REXC}{REXC(r24)}-\href{#INTR}{INTR(r24)}
+\href{#INTR}{INTR(\text{USA})}
+\href{#EXCR}{EXCR(r24)} \]
Equation 101:
NEER
For
d in
dest (24 total):
\[ \href{#NEER}{NEER(d)} = {(
-\sum_{o1 \; \text{in} \; \href{#orig}{orig}} { \left(\href{#eer_weight}{eer\_weight(d,o1)}
*{(\href{#EXCH}{EXCH(o1)}-\href{#EXCH}{EXCH(d)})}\right) })} \]
Equation 102:
REER
For
d in
dest (24 total):
\[ \href{#REER}{REER(d)} = {(
-\sum_{o1 \; \text{in} \; \href{#orig}{orig}} { \left(\href{#eer_weight}{eer\_weight(d,o1)}
*{(\href{#REXN}{REXN(o1)}-\href{#REXN}{REXN(d)})}\right) })} \]
Equation 103:
ABUY
For
o2 in
owner (24 total):
\[ \href{#ABUY}{ABUY(o2)} = \sum_{a \; \text{in} \; \href{#abroad}{abroad}} { \left(\href{#ainv}{ainv(o2,a)}*\href{#CURR}{CURR(a)}\right) } \]
Equation 104:
ASSE
For
c in
currency,
o2 in
owner (576 total):
\[ lead({\href{#ASSE}{ASSE(c,o2)}}) = \href{#ASSE}{ASSE(c,o2)}*{(1-\href{#labgrow}{labgrow(o2)})}
+\frac{{(\href{#ashr}{ashr(c,o2)}*\href{#ABUY}{ABUY(o2)}
+\href{#aeye}{aeye(c,o2)}
*{(\href{#CURR}{CURR(o2)}-\href{#ABUY}{ABUY(o2)})})}}{exp{ \left(\href{#REXN}{REXN(c)}\right) }} \]
Equation 105:
ASSU
For
o2 in
owner (24 total):
\[ \href{#ASSU}{ASSU(o2)} = \sum_{c \; \text{in} \; \href{#currency}{currency}} { \left(exp{ \left(\href{#REXN}{REXN(c)}\right) }
*\href{#ASSE}{ASSE(c,o2)}\right) } \]
Equation 106:
EYGR
For
r24 in
regions (24 total):
\[ \href{#EYGR}{EYGR(r24)} = lead({\href{#OUTP}{OUTP(r24)}})-\href{#OUTP}{OUTP(r24)} \]
Equation 107:
EPRC
For
r24 in
regions (24 total):
\[ \href{#EPRC}{EPRC(r24)} = lead({\href{#PRCT}{PRCT(r24)}})-\href{#PRCT}{PRCT(r24)} \]
Equation 108:
INFL
For
r24 in
regions (24 total):
\[ \href{#INFL}{INFL(r24)} = \href{#PRCT}{PRCT(r24)}-\href{#PRCL}{PRCL(r24)} \]
Equation 109:
PRCOL
For
r24 in
regions (24 total):
\[ lead({\href{#PRCOL}{PRCOL(r24)}}) = \href{#PRCO}{PRCO(r24)} \]
Equation 110:
INFCL
For
r24 in
regions (24 total):
\[ \href{#INFCL}{INFCL(r24)} = \href{#PRCO}{PRCO(r24)}-\href{#PRCOL}{PRCOL(r24)} \]
Equation 111:
YGRO
For
r24 in
regions (24 total):
\[ \href{#YGRO}{YGRO(r24)} = \href{#OUTP}{OUTP(r24)}-\href{#OUTL}{OUTL(r24)} \]
Equation 112:
GNEN
For
r24 in
regions (24 total):
\[ \href{#GNEN}{GNEN(r24)} = ln{ \left(
exp{ \left(
\href{#PRCT}{PRCT(r24)}+\href{#CONP}{CONP(r24)}\right) }
+exp{ \left(
\href{#PRID}{PRID(r24)}+\href{#GCET}{GCET(r24)}\right) }
+exp{ \left(
\href{#PRII}{PRII(r24)}+\href{#INVT}{INVT(r24)}\right) }
+\sum_{g9 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(exp{ \left(\href{#PRII}{PRII(r24)}\right) }
*\href{#INS}{INS(r24,g9)}\right) }\right) } \]
Equation 113:
GNER
For
r24 in
regions (24 total):
\[ \href{#GNER}{GNER(r24)} = ln{ \left(
exp{ \left(\href{#CONP}{CONP(r24)}\right) }
+exp{ \left(\href{#GCET}{GCET(r24)}\right) }
+exp{ \left(\href{#INVT}{INVT(r24)}\right) }
+\sum_{g9 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(\href{#INS}{INS(r24,g9)}\right) }\right) } \]
Equation 114:
PRCTEUR
For
e in
euro (4 total):
\[ \href{#PRCTEUR}{PRCTEUR(e)} = \sum_{r24 \; \text{in} \; \href{#regions}{regions}} { \left(\href{#eurowt}{eurowt(r24)}*\href{#PRCT}{PRCT(r24)}\right) } \]
Equation 115:
PRCEURL
For
e in
euro (4 total):
\[ lead({\href{#PRCEURL}{PRCEURL(e)}}) = \href{#PRCTEUR}{PRCTEUR(e)} \]
Equation 116:
PRIDEUR
For
e in
euro (4 total):
\[ \href{#PRIDEUR}{PRIDEUR(e)} = \sum_{r24 \; \text{in} \; \href{#regions}{regions}} { \left(\href{#eurowt}{eurowt(r24)}*\href{#PRID}{PRID(r24)}\right) } \]
Equation 117:
PRDEURL
For
e in
euro (4 total):
\[ lead({\href{#PRDEURL}{PRDEURL(e)}}) = \href{#PRIDEUR}{PRIDEUR(e)} \]
Equation 118:
INFPEUR
For
e in
euro (4 total):
\[ \href{#INFPEUR}{INFPEUR(e)} = \sum_{r24 \; \text{in} \; \href{#regions}{regions}} { \left(\href{#eurowt}{eurowt(r24)}*\href{#INFP}{INFP(r24)}\right) } \]
Equation 119:
INFLEUR
For
e in
euro (4 total):
\[ \href{#INFLEUR}{INFLEUR(e)} = \sum_{r24 \; \text{in} \; \href{#regions}{regions}} { \left(\href{#eurowt}{eurowt(r24)}*\href{#INFL}{INFL(r24)}\right) } \]
Equation 120:
INFCLEUR
For
e in
euro (4 total):
\[ \href{#INFCLEUR}{INFCLEUR(e)} = \sum_{r24 \; \text{in} \; \href{#regions}{regions}} { \left(\href{#eurowt}{eurowt(r24)}*\href{#INFCL}{INFCL(r24)}\right) } \]
Equation 121:
EPRCEUR
For
e in
euro (4 total):
\[ \href{#EPRCEUR}{EPRCEUR(e)} = lead({\href{#PRCTEUR}{PRCTEUR(e)}})-\href{#PRCTEUR}{PRCTEUR(e)} \]
Equation 122:
NGOEUR
For
e in
euro (4 total):
\[ \href{#NGOEUR}{NGOEUR(e)} = ln{ \left(
\sum_{r24 \; \text{in} \; \href{#regions}{regions}} { \left(\href{#eurowt}{eurowt(r24)}
*{(exp{ \left(
\href{#OUTP}{OUTP(r24)}+\href{#PRID}{PRID(r24)}\right) }
-\href{#TBAL}{TBAL(r24)})}\right) }\right) } \]
Equation 123:
GDPNEUR
For
e in
euro (4 total):
\[ \href{#GDPNEUR}{GDPNEUR(e)} = ln{ \left(
\sum_{r24 \; \text{in} \; \href{#regions}{regions}} { \left(\href{#eurowt}{eurowt(r24)}
*exp{ \left(\href{#GDPN}{GDPN(r24)}\right) }\right) }\right) } \]
Equation 124:
OUTPEUR
For
e in
euro (4 total):
\[ \href{#OUTPEUR}{OUTPEUR(e)} = ln{ \left(
\sum_{r24 \; \text{in} \; \href{#regions}{regions}} { \left(\href{#eurowt}{eurowt(r24)}
*exp{ \left(\href{#OUTP}{OUTP(r24)}\right) }\right) }\right) } \]
Equation 125:
OUTLEUR
For
e in
euro (4 total):
\[ lead({\href{#OUTLEUR}{OUTLEUR(e)}}) = \href{#OUTPEUR}{OUTPEUR(e)} \]
Equation 126:
YGROEUR
For
e in
euro (4 total):
\[ \href{#YGROEUR}{YGROEUR(e)} = \href{#OUTPEUR}{OUTPEUR(e)}-\href{#OUTLEUR}{OUTLEUR(e)} \]
Equation 127:
EYGREUR
For
e in
euro (4 total):
\[ \href{#EYGREUR}{EYGREUR(e)} = lead({\href{#OUTPEUR}{OUTPEUR(e)}})-\href{#OUTPEUR}{OUTPEUR(e)} \]
Equation 128:
INTN
For
n1 in
noteuro (20 total):
\[ \href{#INTN}{INTN(n1)} = \href{#mrule_r}{mrule\_r(n1)}*\href{#INTL}{INTL(n1)}
+\href{#mrule_ex}{mrule\_ex(n1)}
*{(\href{#EXCH}{EXCH(n1)}-\href{#EXCL}{EXCL(n1)}
-\href{#EXCX}{EXCX(n1)})}
+\href{#mrule_1}{mrule\_1(n1)}
*{(\href{#INFL}{INFL(n1)}-\href{#INFX}{INFX(n1)})}
+\href{#mrule_2}{mrule\_2(n1)}
*{(\href{#INFP}{INFP(n1)}-\href{#INFX}{INFX(n1)})}
+\href{#mrule_3}{mrule\_3(n1)}
*{(\href{#INFCL}{INFCL(n1)}-\href{#INFX}{INFX(n1)})}
+\href{#mrule_4}{mrule\_4(n1)}
*{(\href{#PRCT}{PRCT(n1)}-\href{#PTAR}{PTAR(n1)})}
+\href{#mrule_5}{mrule\_5(n1)}
*{(\href{#PRID}{PRID(n1)}-\href{#PTAR}{PTAR(n1)})}
+\href{#mrule_6}{mrule\_6(n1)}
*{(\href{#WAGE}{WAGE(n1)}-\href{#PTAR}{PTAR(n1)})}
+\href{#mrule_7}{mrule\_7(n1)}*0
+\href{#mrule_8}{mrule\_8(n1)}
*{(\href{#OUTP}{OUTP(n1)}-\href{#OUTL}{OUTL(n1)}
-\href{#ROGY}{ROGY(n1)})}
+\href{#mrule_9}{mrule\_9(n1)}
*{(\href{#OUTP}{OUTP(n1)}-\href{#OUTL}{OUTL(n1)}
-\href{#ROGY}{ROGY(n1)}
+\href{#INFP}{INFP(n1)}
-\href{#INFX}{INFX(n1)})}
+\href{#mrule_10}{mrule\_10(n1)}
*{(\href{#GDPN}{GDPN(n1)}-\href{#ROGY}{ROGY(n1)})}
+\href{#mrule_11}{mrule\_11(n1)}
*{(\href{#OUTP}{OUTP(n1)}+\href{#PRID}{PRID(n1)})}
+\href{#mrule_12}{mrule\_12(n1)}
*ln{ \left(
exp{ \left(
\href{#OUTP}{OUTP(n1)}+\href{#PRID}{PRID(n1)}\right) }
-\href{#TBAL}{TBAL(n1)}\right) }
+\href{#mrule_13}{mrule\_13(n1)}
*{(\href{#EPRC}{EPRC(n1)}-\href{#INFX}{INFX(n1)})}
+\href{#mrule_14}{mrule\_14(n1)}
*{(\href{#EYGR}{EYGR(n1)}-\href{#ROGY}{ROGY(n1)})}
+\href{#mrule_15}{mrule\_15(n1)}
*{(\href{#GNEN}{GNEN(n1)}-\href{#ROGY}{ROGY(n1)})} \]
Equation 129:
INTN
For
e in
euro (4 total):
\[ \href{#INTN}{INTN(e)} = \href{#mrule_r}{mrule\_r(e)}*\href{#INTL}{INTL(e)}
+\href{#mrule_ex}{mrule\_ex(e)}
*{(\href{#EXCH}{EXCH(e)}-\href{#EXCH}{EXCH(\text{DEU})}
-\href{#EXCX}{EXCX(e)})}
+\href{#mrule_1}{mrule\_1(e)}
*{(\href{#INFLEUR}{INFLEUR(e)}-\href{#INFX}{INFX(e)})}
+\href{#mrule_2}{mrule\_2(e)}
*{(\href{#INFPEUR}{INFPEUR(e)}-\href{#INFX}{INFX(e)})}
+\href{#mrule_3}{mrule\_3(e)}
*{(\href{#INFCLEUR}{INFCLEUR(e)}-\href{#INFX}{INFX(e)})}
+\href{#mrule_4}{mrule\_4(e)}
*{(\href{#PRCTEUR}{PRCTEUR(e)}-\href{#PTAR}{PTAR(e)})}
+\href{#mrule_5}{mrule\_5(e)}
*{(\href{#PRIDEUR}{PRIDEUR(e)}-\href{#PTAR}{PTAR(e)})}
+\href{#mrule_6}{mrule\_6(e)}
*{(\href{#WAGE}{WAGE(e)}-\href{#PTAR}{PTAR(e)})}
+\href{#mrule_7}{mrule\_7(e)}*0
+\href{#mrule_8}{mrule\_8(e)}
*{(\href{#OUTPEUR}{OUTPEUR(e)}-\href{#OUTLEUR}{OUTLEUR(e)}
-\href{#ROGYEUR}{ROGYEUR(e)})}
+\href{#mrule_9}{mrule\_9(e)}
*{(\href{#OUTPEUR}{OUTPEUR(e)}-\href{#OUTLEUR}{OUTLEUR(e)}
+\href{#INFPEUR}{INFPEUR(e)}
-\href{#ROGYEUR}{ROGYEUR(e)}
-\href{#INFX}{INFX(e)})}
+\href{#mrule_10}{mrule\_10(e)}
*{(\href{#GDPNEUR}{GDPNEUR(e)}-\href{#ROGYEUR}{ROGYEUR(e)})}
+\href{#mrule_11}{mrule\_11(e)}
*{(\href{#OUTPEUR}{OUTPEUR(e)}+\href{#PRIDEUR}{PRIDEUR(e)})}
+\href{#mrule_12}{mrule\_12(e)}*\href{#NGOEUR}{NGOEUR(e)}
+\href{#mrule_13}{mrule\_13(e)}
*{(\href{#EPRCEUR}{EPRCEUR(e)}-\href{#INFX}{INFX(e)})}
+\href{#mrule_14}{mrule\_14(e)}
*{(\href{#EYGREUR}{EYGREUR(e)}-\href{#ROGYEUR}{ROGYEUR(e)})} \]
Equation 130:
INTL
For
r24 in
regions (24 total):
\[ lead({\href{#INTL}{INTL(r24)}}) = \href{#INTN}{INTN(r24)} \]
Equation 131:
GCE
For
g6 in
goods_e,
r24 in
regions (24 total):
\[ \href{#GCE}{GCE(g6,r24)} = ln{ \left(\href{#delta_eG}{delta\_eG(g6,r24)}\right) }
+ln{ \left(
\frac{\href{#delta_oG}{delta\_oG(\text{e},r24)}}{{(\href{#delta_oG}{delta\_oG(\text{e},r24)}
+\href{#delta_oG}{delta\_oG(\text{m},r24)})}}\right) }
+\href{#GOVS}{GOVS(r24)}
+\href{#PRID}{PRID(r24)}
-\href{#PRY}{PRY(g6,r24)} \]
Equation 132:
GCE
For
g7 in
goods_m,
r24 in
regions (120 total):
\[ \href{#GCE}{GCE(g7,r24)} = ln{ \left(\href{#delta_mG}{delta\_mG(g7,r24)}\right) }
+ln{ \left(
\frac{\href{#delta_oG}{delta\_oG(\text{m},r24)}}{{(\href{#delta_oG}{delta\_oG(\text{e},r24)}
+\href{#delta_oG}{delta\_oG(\text{m},r24)})}}\right) }
+\href{#GOVS}{GOVS(r24)}
+\href{#PRID}{PRID(r24)}
-\href{#PRY}{PRY(g7,r24)} \]
Equation 133:
GCET
For
r24 in
regions (24 total):
\[ \href{#GCET}{GCET(r24)} = ln{ \left(
\sum_{g9 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(exp{ \left(
\href{#GCE}{GCE(g9,r24)}+\href{#PRY}{PRY(g9,r24)}\right) }\right) }\right) }
-\href{#PRID}{PRID(r24)} \]
Equation 134:
GOVT
For
r24 in
regions (24 total):
\[ \href{#GOVT}{GOVT(r24)} = ln{ \left(
exp{ \left(\href{#GCET}{GCET(r24)}\right) }
+exp{ \left(
\href{#WAGG}{WAGG(r24)}-\href{#PRID}{PRID(r24)}\right) }
*\href{#GOVL}{GOVL(r24)}\right) } \]
Equation 135:
TRAN
For
r24 in
regions (24 total):
\[ \href{#TRAN}{TRAN(r24)} = \href{#TRANX}{TRANX(r24)}
+\href{#transgdp}{transgdp(r24)}
*exp{ \left(\href{#OUTP}{OUTP(r24)}\right) } \]
Equation 136:
TXM
For
d in
dest,
g9 in
goods_o (144 total):
\[ \href{#TXM}{TXM(g9,d)} = \frac{\sum_{o1 \; \text{in} \; \href{#orig}{orig}} { \left({(\href{#TIM}{TIM(g9,d,o1)}*\href{#MUL}{MUL(d,o1)}
+\href{#TIF}{TIF(g9,d)}*\href{#FTA}{FTA(d,o1)})}
*exp{ \left(
\href{#PIM}{PIM(g9,d,o1)}+\href{#IMP}{IMP(g9,d,o1)}\right) }\right) }}{exp{ \left(\href{#PRID}{PRID(d)}\right) }} \]
Equation 137:
TAXM
For
d in
dest (24 total):
\[ \href{#TAXM}{TAXM(d)} = \sum_{g9 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(\href{#TXM}{TXM(g9,d)}\right) } \]
Equation 138:
TAXX
For
r24 in
regions (24 total):
\[ \href{#TAXX}{TAXX(r24)} = \frac{\sum_{g9 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(\href{#TEX}{TEX(g9,r24)}
*exp{ \left(
\href{#PRS}{PRS(g9,r24)}+\href{#EXQ}{EXQ(g9,r24)}\right) }\right) }}{exp{ \left(\href{#PRID}{PRID(r24)}\right) }} \]
Equation 139:
TAXH
For
r24 in
regions (24 total):
\[ \href{#TAXH}{TAXH(r24)} = ln{ \left(
\href{#TINC}{TINC(r24)}
*{(exp{ \left(
\href{#WAGE}{WAGE(r24)}+\href{#IITL}{IITL(r24)}\right) }
+exp{ \left(
\href{#WAGE}{WAGE(r24)}+\href{#CNPL}{CNPL(r24)}\right) }
+exp{ \left(\href{#WAGG}{WAGG(r24)}\right) }
*\href{#GOVL}{GOVL(r24)}
+\sum_{s \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(exp{ \left(
\href{#WAG}{WAG(s,r24)}+\href{#LAB}{LAB(s,r24)}\right) }\right) })}
-\href{#TITCH}{TITCH(r24)}
*exp{ \left(
\href{#PRII}{PRII(r24)}+\href{#INVZ}{INVZ(r24)}\right) }\right) }
-\href{#PRID}{PRID(r24)} \]
Equation 140:
BOND
For
r24 in
regions (24 total):
\[ lead({\href{#BOND}{BOND(r24)}}) = \href{#DEFI}{DEFI(r24)}
+\href{#BOND}{BOND(r24)}*{(1-\href{#labgrow}{labgrow(r24)})}
-\href{#PBAG}{PBAG(r24)} \]
Equation 141:
TAXL
For
r24 in
regions (24 total):
\[ \href{#TAXL}{TAXL(r24)} = \href{#INTR}{INTR(r24)}*\href{#BOND}{BOND(r24)}
+\href{#TAXS}{TAXS(r24)} \]
Equation 142:
TAXT
For
r24 in
regions (24 total):
\[ \href{#TAXT}{TAXT(r24)} = ln{ \left(
exp{ \left(\href{#TAXC}{TAXC(r24)}\right) }
+exp{ \left(\href{#TAXH}{TAXH(r24)}\right) }
+\href{#TAXL}{TAXL(r24)}+\href{#TAXM}{TAXM(r24)}
+\href{#TAXX}{TAXX(r24)}
+\href{#TAXE}{TAXE(r24)}\right) } \]
Equation 143:
DEFI
For
r24 in
regions (24 total):
\[ \href{#DEFI}{DEFI(r24)} = exp{ \left(\href{#GOVT}{GOVT(r24)}\right) }
+\href{#TRAN}{TRAN(r24)}
-exp{ \left(\href{#TAXT}{TAXT(r24)}\right) }
+\href{#INTR}{INTR(r24)}*\href{#BOND}{BOND(r24)} \]
Equation 144:
DEFN
For
r24 in
regions (24 total):
\[ \href{#DEFN}{DEFN(r24)} = \href{#DEFI}{DEFI(r24)}
+{(\href{#INTN}{INTN(r24)}-\href{#INTR}{INTR(r24)})}
*\href{#BOND}{BOND(r24)} \]
Equation 145:
PRT
For
g6 in
goods_e,
r24 in
regions,
s in
sec_std (144 total):
\[ \href{#PRT}{PRT(s,g6,r24)} = ln{ \left(
exp{ \left(\href{#PRS}{PRS(g6,r24)}\right) }
*{(1+\href{#TAX}{TAX(g6,r24)})}
+\href{#TXGS}{TXGS(s,g6,r24)}\right) } \]
Equation 146:
CON
For
g6 in
goods_e,
r24 in
regions (24 total):
\[ \href{#CON}{CON(g6,r24)} = ln{ \left(\href{#delta_eH}{delta\_eH(g6,r24)}\right) }
+\href{#CNPE}{CNPE(r24)}
+\href{#sigma_eH}{sigma\_eH(r24)}
*{(\href{#PRCE}{PRCE(r24)}-\href{#PRY}{PRY(g6,r24)})} \]
Equation 147:
CON
For
g8 in
goods_mc,
r24 in
regions (96 total):
\[ \href{#CON}{CON(g8,r24)} = ln{ \left(\href{#delta_mH}{delta\_mH(g8,r24)}\right) }
+\href{#CNPO}{CNPO(r24)}
+\href{#sigma_mH}{sigma\_mH(r24)}
*{(\href{#PRCO}{PRCO(r24)}-\href{#PRY}{PRY(g8,r24)})} \]
Equation 148:
EN
For
g6 in
goods_e,
r24 in
regions,
s in
sec_std (144 total):
\[ \href{#EN}{EN(s,g6,r24)} = ln{ \left(\href{#delta_e}{delta\_e(r24,s,g6)}\right) }
+\href{#ENT}{ENT(s,r24)}
+\href{#sigma_e}{sigma\_e(s,r24)}
*{(\href{#PRE}{PRE(s,r24)}-\href{#PRT}{PRT(s,g6,r24)})} \]
Equation 149:
OI
For
g7 in
goods_m,
r24 in
regions,
s in
sec_std (720 total):
\[ \href{#OI}{OI(s,g7,r24)} = ln{ \left(\href{#delta_m}{delta\_m(r24,s,g7)}\right) }
+\href{#OIN}{OIN(s,r24)}
+\href{#sigma_m}{sigma\_m(s,r24)}
*{(\href{#POI}{POI(s,r24)}-\href{#PRY}{PRY(g7,r24)})} \]
Equation 150:
PRE
For
r24 in
regions,
s in
sec_std (144 total):
\[ \href{#PRE}{PRE(s,r24)} = \href{#cd_e}{cd\_e(s,r24)}
*\sum_{g6 \; \text{in} \; \href{#goods_e}{goods\_e}} { \left(\href{#delta_e}{delta\_e(r24,s,g6)}*\href{#PRT}{PRT(s,g6,r24)}\right) }
+\frac{{({(1-\href{#cd_e}{cd\_e(s,r24)})}
*ln{ \left(
\sum_{g6 \; \text{in} \; \href{#goods_e}{goods\_e}} { \left(\href{#delta_e}{delta\_e(r24,s,g6)}
*exp{ \left(\href{#PRT}{PRT(s,g6,r24)}\right) }
^{(1-\href{#sigma_e}{sigma\_e(s,r24)})}\right) }\right) })}}{{(1
-\href{#sigma_e}{sigma\_e(s,r24)}*{(1-\href{#cd_e}{cd\_e(s,r24)})})}} \]
Equation 151:
POI
For
r24 in
regions,
s in
sec_std (144 total):
\[ \href{#POI}{POI(s,r24)} = \href{#cd_m}{cd\_m(s,r24)}
*\sum_{g7 \; \text{in} \; \href{#goods_m}{goods\_m}} { \left(\href{#delta_m}{delta\_m(r24,s,g7)}*\href{#PRY}{PRY(g7,r24)}\right) }
+\frac{{({(1-\href{#cd_m}{cd\_m(s,r24)})}
*ln{ \left(
\sum_{g7 \; \text{in} \; \href{#goods_m}{goods\_m}} { \left(\href{#delta_m}{delta\_m(r24,s,g7)}
*exp{ \left(\href{#PRY}{PRY(g7,r24)}\right) }
^{(1-\href{#sigma_m}{sigma\_m(s,r24)})}\right) }\right) })}}{{(1
-\href{#sigma_m}{sigma\_m(s,r24)}*{(1-\href{#cd_m}{cd\_m(s,r24)})})}} \]
Equation 152:
PRCE
For
r24 in
regions (24 total):
\[ \href{#PRCE}{PRCE(r24)} = \href{#cd_eH}{cd\_eH(r24)}
*\sum_{g6 \; \text{in} \; \href{#goods_e}{goods\_e}} { \left(\href{#delta_eH}{delta\_eH(g6,r24)}*\href{#PRY}{PRY(g6,r24)}\right) }
+\frac{{({(1-\href{#cd_eH}{cd\_eH(r24)})}
*ln{ \left(
\sum_{g6 \; \text{in} \; \href{#goods_e}{goods\_e}} { \left(\href{#delta_eH}{delta\_eH(g6,r24)}
*exp{ \left(\href{#PRY}{PRY(g6,r24)}\right) }
^{(1-\href{#sigma_eH}{sigma\_eH(r24)})}\right) }\right) })}}{{(1
-\href{#sigma_eH}{sigma\_eH(r24)}*{(1-\href{#cd_eH}{cd\_eH(r24)})})}} \]
Equation 153:
PRCO
For
r24 in
regions (24 total):
\[ \href{#PRCO}{PRCO(r24)} = \href{#cd_mH}{cd\_mH(r24)}
*\sum_{g7 \; \text{in} \; \href{#goods_m}{goods\_m}} { \left(\href{#delta_mH}{delta\_mH(g7,r24)}*\href{#PRY}{PRY(g7,r24)}\right) }
+\frac{{({(1-\href{#cd_mH}{cd\_mH(r24)})}
*ln{ \left(
\sum_{g7 \; \text{in} \; \href{#goods_m}{goods\_m}} { \left(\href{#delta_mH}{delta\_mH(g7,r24)}
*exp{ \left(\href{#PRY}{PRY(g7,r24)}\right) }
^{(1-\href{#sigma_mH}{sigma\_mH(r24)})}\right) }\right) })}}{{(1
-\href{#sigma_mH}{sigma\_mH(r24)}*{(1-\href{#cd_mH}{cd\_mH(r24)})})}} \]
Equation 154:
TAXE
For
r24 in
regions (24 total):
\[ \href{#TAXE}{TAXE(r24)} = \href{#RVGS}{RVGS(r24)} \]
Equation 155:
TAXC
For
r24 in
regions (24 total):
\[ \href{#TAXC}{TAXC(r24)} = ln{ \left(
\href{#TCOR}{TCOR(r24)}
*{(\sum_{s \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(\href{#PRF}{PRF(s,r24)}\right) }
+\href{#PRFY}{PRFY(r24)})}
+\frac{{(\sum_{g5 \; \text{in} \; \href{#goods}{goods}} { \left(\href{#TAX}{TAX(g5,r24)}
*exp{ \left(
\href{#PRD}{PRD(g5,r24)}+\href{#OUG}{OUG(g5,r24)}\right) }\right) }
+\sum_{g9 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(\href{#TAX}{TAX(g9,r24)}
*exp{ \left(
\href{#PMR}{PMR(g9,r24)}+\href{#IMQ}{IMQ(g9,r24)}\right) }\right) }
-\sum_{s \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(\href{#TITC}{TITC(s,r24)}
*exp{ \left(
\href{#PRII}{PRII(r24)}+\href{#INV}{INV(s,r24)}\right) }\right) }
-\sum_{g9 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(\href{#TAX}{TAX(g9,r24)}
*exp{ \left(
\href{#PRS}{PRS(g9,r24)}+\href{#EXQ}{EXQ(g9,r24)}\right) }\right) })}}{exp{ \left(\href{#PRID}{PRID(r24)}\right) }}\right) } \]
Equation 156:
REXB
\[ \href{#REXB}{REXB(r5)} = \frac{1}{{(1+\href{#alph_rex}{alph\_rex(r5)})}}
*\href{#REXL}{REXL(r5)}
+\frac{\href{#alph_rex}{alph\_rex(r5)}}{{(1+\href{#alph_rex}{alph\_rex(r5)})}}
*\href{#REXC}{REXC(r5)} \]
Equation 157:
REXL
\[ lead({\href{#REXL}{REXL(r5)}}) = \href{#REXB}{REXB(r5)} \]
Equation 158:
REXN
\[ \href{#REXN}{REXN(r5)} = \href{#REXB}{REXB(r5)} \]
Equation 159:
REXN
For
n in
nocapcon (23 total):
\[ \href{#REXN}{REXN(n)} = \href{#REXC}{REXC(n)} \]