G-Cubed model_2R

Name	Elements	Description
abroad	USA, ROW	used in asset calculations
currency	USA, ROW	currency of assets
dest	USA, ROW	alias for regions
domfor	D, F	domestic vs foreign
factors	K, L, E, M	top tier factors of production
goods	g01, g02	all goods
goods_e	g01	energy goods
goods_m	g02	material goods
goods_o	g01, g02	goods with standard treatment
notUSA	ROW	Rest of the World
orig	USA, ROW	alias for regions
owner	USA, ROW	owner of assets ASSE
region_USA	USA	United States
regions	USA, ROW	countries and regions
sec_std	a01, a02	sectors with standard treatment
sector_YY	YY	industrial capital sector
sector_ZZ	ZZ	household capital sector
sectors	a01, a02	sectors other than those producing industrial or household capital
sectors_e	a01	energy sector
sectors_n	a02	non-energy sector
time	t0	Obsolete time set
varfac	L, E, M	variable factors

Name	Domain	Description	Units	LHS	RHS
ABUY	owner	new purchases of foreign assets	end,gdp	107	108
ASSE	currency, owner	assets in each currency, including own	sta,usgdp	108	108, 109, 70, 71
ASSU	regions	assets held by region, in US$	end,gdp	109	94
BCOL	regions	Quads from coal	btu,exo	none	none
BCT	goods_o, dest, orig	unit border tax adjustment	dollar,exo	none	25, 6
BGAS	regions	Quads from gas	btu,exo	none	none
BOIL	regions	Quads from oil	btu,exo	none	none
BOND	regions	bonds	gdp,sta	129	129, 130, 132, 133, 68, 94
CAP	sec_std, regions	capital stock	gdp,sta	38	32, 38, 41, 42, 47, 60
CAPY	regions	raw invt capital stock	gdp,sta	39	33, 39, 43, 45, 48, 94
CAPZ	regions	household capital stock	gdp,sta	40	34, 40, 44, 46, 49, 94
CNPE	regions	household demand for energy	end,gdp	73	58, 76
CNPK	regions	household capital services	end,gdp	75	none
CNPL	regions	household demand for labor	end,gdp	72	128, 22, 58, 68, 95
CNPO	regions	household demand for material	end,gdp	74	58, 77
CON	goods_o, regions	household demand for goods	end,gdp	76, 77	2, 3
CONP	regions	national accounts consumption	end,gdp	69	116, 117, 34, 58, 72, 73, 74, 75, 88, 89
CURN	regions	domestic currency current account using nominal interest payments	end,gdp	92	97, 98
CURR	regions	USD current account using real interest payments	end,gdp	93	107, 108, 96
DEFI	regions	fiscal deficit (real interest rates)	end,gdp	132	129, 133, 96
DEFN	regions	fiscal deficit (nominal interest rates)	end,gdp	133	97
DEFX	regions	fiscal deficit shocks (real interest rates)	exo,gdp	none	none
ECOL	regions	CO2 emissions from coal	exo,mmt	none	none
EGAS	regions	CO2 emissions from gas	exo,mmt	none	none
EN	sec_std, goods_e, regions	sector demand for energy goods	end,gdp	135	2
ENT	sec_std, regions	sector demand for energy	end,gdp	15	135, 56
EOIL	regions	CO2 emissions from oil	exo,mmt	none	none
EPRC	regions	expected consumer price inflation rate	end,intertemporal_constant,pct	111	118
EXCH	regions	exch rate as US$ per unit of region currency	idx,logged,stl	1, 101	102, 105, 118, 5
EXCL	regions	exch rate as US$ per unit of region currency - lagged	idx,lagged,logged,sta	102	118
EXCR	regions	country risk premium relative to US	exo,pct	none	103
EXCX	regions	exchange rate target percentage change	exo,pct	none	118
EXQ	goods_o, regions	exports, EXP.xx	end,gdp	10	127, 140, 2, 3, 9
EXQT	regions	value of exports at source	end,gdp	9	99
EYGR	regions	expected output growth	end,intertemporal_constant,pct	110	118
GCE	goods_o, regions	government purchases of goods and services	end,gdp	120, 121	122, 2, 3
GCET	regions	national accounts government spending excluding labor	end,gdp	122	116, 117, 123, 88, 89
GDPN	regions	GDP, nominal	end,gdp	88	118, 90
GDPR	regions	GDP, real	end,gdp	89	90, 91
GNEN	regions	GNE, nominal	end,gdp	116	118
GNER	regions	GNE, real	end,gdp	117	none
GNPR	regions	gross national product	end,gdp	91	none
GOVL	regions	labor used by government	exo,gdp	none	123, 128, 22, 68, 95
GOVS	regions	government spending excluding labor	exo,gdp	none	120, 121
GOVT	regions	national accounts government spending including labor	end,gdp	123	132
IIN	goods_o, regions	raw capital sector demand for goods	end,gdp	20, 21	2, 3
IITE	regions	raw capital sector demand for energy	end,gdp	18	20, 57
IITL	regions	raw capital sector demand for labor	end,gdp	17	128, 22, 57, 68, 95
IITO	regions	raw capital sector demand for material	end,gdp	19	21, 57
IMP	goods_o, dest, orig	individual imports, IMP.xy	end,exclude_dest_equals_orig,gdp	6	10, 125, 7
IMPX	goods_o, dest, orig	individual imports shift	exo,gdp	none	6
IMQ	goods_o, regions	DF imports by good, IMQ.xx	end,gdp	4	140, 6, 7, 8
IMQT	regions	value of imports at destination	end,gdp	8	99
INAS	regions	nominal USD net interest payments on foreign assets	end,gdp	71	92
INCM	regions	after tax household income	end,gdp	68	69
INFCL	regions	household materials inflation rate	end,pct	114	118
INFL	regions	aggregate consumer price inflation	end,pct	112	118
INFP	regions	aggregate output price inflation	end,pct	85	118
INFX	regions	inflation target	exo,pct	none	118
INS	regions, goods_o	shocks to aggregate investment demand	exo,gdp	none	116, 117, 2, 3, 88, 89
INTF	regions	risk free interest rate, short-run, real	end,pct	83	84
INTL	regions	interest rate, short-run, nominal (lagged)	pct,sta	119	118
INTN	regions	interest rate, short (policy), nominal	pct,stl	118	119, 133, 71, 82, 83
INTR	regions	risk adjusted interest rate, short-run, real	end,pct	84	103, 130, 132, 133, 47, 48, 49, 68, 70, 95
INTX	regions	shock to interest rate target	del,exo	none	none
INV	sec_std, regions	raw investment	end,gdp	41	140, 42, 56, 62
INVP	regions	total investment by standard sectors	end,gdp	62	63
INVT	regions	total investment including by households	end,gdp	63	116, 117, 17, 18, 19, 33, 57, 88, 89, 96, 97, 98
INVY	regions	raw investment	end,gdp	43	57, 63
INVZ	regions	household investment	end,gdp	44	128, 58, 63
IRAS	regions	real USD net interest payments on foreign assets	end,gdp	70	68, 91, 93
JNV	sec_std, regions	installed investment	end,gdp	42	38, 47
JNVY	regions	installed investment in the raw capital sector	end,gdp	45	39, 43, 48
JNVZ	regions	installed household investment	end,gdp	46	40, 44, 49
LAB	sec_std, regions	sector demand for labor	end,gdp	14	128, 22, 56, 68, 95
LABO	regions	total labor demanded	end,gdp	22	35
LABX	regions	shock to total labor supply	exo,gdp	none	none
LAM	sec_std, regions	marginal value of an additional unit of capital	cos,intertemporal_constant,pct	47	47, 50, 60
LAMY	regions	marginal value of an additional unit of capital in the raw capital sector	cos,pct	48	48, 51, 94
LAMZ	regions	marginal value of an additional unit of household capital	cos,pct	49	49, 52, 94
LGDPN	regions	GDP, nominal	exo,nomusdbillion	none	none
LGDPR	regions	GDP, real	exo,realusdbillion	none	none
MONE	regions	money demand	end,idx,logged	82	94
NB02	regions	interest rate, 2-year, nominal	end,pct	none	none
NB05	regions	interest rate, 5-year, nominal	end,pct	none	none
NB10	regions	interest rate, 10-year, nominal	end,pct	none	none
NEER	regions	trade-weighted exchange rate, FC/domestic	end,idx,logged	105	none
OI	sec_std, goods_m, regions	sector demand for material goods	end,gdp	136	3
OIN	sec_std, regions	sector demand for materials	end,gdp	16	136, 56
OUG	goods, regions	domestic supply of goods	end,gdp	12	13, 140, 66
OUP	sectors, regions	domestic production	end,gdp	13	14, 15, 16, 32, 56
OUTL	regions	aggregate output (lagged)	gdp,lagged,sta	67	115, 118
OUTP	regions	aggregate output	ets,gdp	66	110, 115, 118, 124, 67, 82
OUTX	regions	shock to output target	exo,pct	none	none
OUY	goods, regions	composite supply	end,gdp	2, 3	12, 4
PBAG	regions	USD value of permits sold through government	exo,gdp	none	129
PBAL	regions	value of permits sold, USD	exo,gdp	none	91, 92, 93
PGDP	regions	GDP implicit price deflator	end,idx,logged	90	none
PIM	goods_o, dest, orig	landed price of imports	end,idx,logged	5	125, 25, 6, 7
PMQ	goods_o, regions	import landed price index	end,idx,logged	7	26, 8
PMR	goods_o, regions	price of imports incl tariffs	end,idx,logged	25	140, 23, 4, 6
POI	sec_std, regions	sector price of materials	end,idx,logged	138	136, 16, 30, 56
PRCE	regions	household price of energy	end,idx,logged	79	58, 73, 76, 78
PRCL	regions	aggregate price of consumer goods lagged	idx,lagged,logged,sta	86	112, 35
PRCO	regions	household price of material	end,idx,logged	80	113, 114, 58, 74, 77, 78
PRCOL	regions	household price of material - lagged	idx,lagged,logged,sta	113	114
PRCT	regions	aggregate price of consumer goods	ets,idx,logged	78	111, 112, 116, 118, 34, 35, 58, 69, 72, 73, 74, 75, 86, 88
PRD	goods, regions	post-tax price of goods	end,idx,logged	29	12, 140, 23, 64, 66
PRDL	regions	weighted price of domestic output lag	idx,lagged,logged,sta	87	85
PRDX	regions	shock to weighted price of domestic output	exo,pct	none	none
PRE	sec_std, regions	sector price of energy	end,idx,logged	137	135, 15, 30, 56
PRF	sec_std, regions	short run profits	end,gdp	56	140, 59
PRFT	regions	total economywide profits	end,gdp	59	68
PRFY	regions	profits on raw capital sector	end,gdp	57	140, 59
PRFZ	regions	imputed short run profits on household capital	end,gdp	58	68
PRGT	regions	aggregate price of government goods	end,idx,logged	81	none
PRID	regions	weighted price of domestic output	ets,idx,logged	64	101, 116, 118, 120, 121, 122, 123, 125, 127, 128, 140, 47, 48, 49, 50, 51, 52, 56, 57, 58, 66, 68, 69, 82, 83, 85, 87, 88, 94, 95, 96, 97, 98
PRIE	regions	raw capital sector price of energy	end,idx,logged	27	18, 20, 31, 57
PRII	regions	price paid by producers for raw capital	end,idx,logged	31	116, 128, 140, 17, 18, 19, 33, 47, 48, 49, 50, 51, 52, 56, 57, 58, 88, 96, 97, 98
PRIM	regions	weighted price of imports	end,idx,logged	26	8
PRIX	regions	weighted price of exports	end,idx,logged	65	9
PRK	sec_std, regions	implicit rental price	end,idx,logged	32	30, 47
PRKY	regions	implicit raw capital sector rental price	end,idx,logged	33	31, 48
PRKZ	regions	implicit household rental price	end,idx,logged	34	49, 75, 78
PROI	regions	raw capital sector price of material	end,idx,logged	28	19, 21, 31, 57
PRP	sectors, regions	pre-tax producer price	end,idx,logged	30	14, 15, 16, 29, 32, 56
PRS	goods, regions	producer price of composite	end,idx,logged	23	11, 12, 127, 134, 140, 24, 4
PRT	sec_std, goods_e, regions	sector-specific input price	end,idx,logged	134	135, 137
PRX	goods_o, regions	price of exports at source	end,idx,logged	11	5, 65, 9
PRXX	regions	shock to expected price of consumer goods	exo,pct	none	35
PRY	goods, regions	purchase price of composite	end,idx,logged	24	120, 121, 122, 136, 138, 20, 21, 27, 28, 76, 77, 79, 80, 81
PTAR	regions	price level target	exo,idx,logged	none	118
RB10	regions	interest rate, 10-year, real	end,pct	none	none
REER	regions	trade-weighted real exch rate, FC/domestic	end,idx,logged	106	none
REXC	regions	real exchange rate as US$ per unit of region currency	cos,idx,intertemporal_constant,logged	103	103, 104
REXN	regions	real exchange rate with capital controls	end,idx,logged	104	100, 101, 106, 108, 109, 68, 70, 71, 91, 92, 94, 96
RISE	sec_std, regions	equity risk premium by sector and region	del,exo	none	47
RISH	regions	risk premium shock for human wealth	del,exo	none	95
RISR	regions	risk premium in the yield curve	del,exo	none	84
RISW	regions	risk premium for human wealth	del,exo	none	69, 95
RISY	regions	risk premium for raw-capital sector capital	del,exo	none	48
RISZ	regions	risk premium for household capital	del,exo	none	49
ROGY	regions	potential output growth target	exo,pct	none	118
RVGS	regions	revenue from unit taxes	exo,gdp	none	139
SAVI	regions	real domestic saving using real interest rates	end,gdp	96	none
SAVN	regions	real domestic saving using nominal interest rates	end,gdp	97	none
SAVT	regions	domestic non-government saving using nominal interest rates	end,gdp	98	none
SHEF	sec_std, regions	autonomous energy efficiency improvements	exo,pct	none	15, 30
SHEFC	regions	consumption autonomous energy efficiency improvements	exo,pct	none	73, 78
SHK	sec_std, regions	shock to capital efficiency	exo,pct	none	30, 32
SHKC	regions	shock to aggregate consumption	exo,gdp	none	69
SHKI	regions, sec_std	shock to inv equation	exo,gdp	none	41
SHKM	regions	shock to money demand	exo,pct	none	82
SHL	regions, sec_std	shock to labor due to labor-augmenting technical change and/or population growth	exo,pct	none	14, 30
SHLY	regions	shock to raw capital sector labor due to labor-augmenting technical change and/or population growth	exo,pct	none	17, 31
SHLZ	regions	shock to household capital sector labor due to labor-augmenting technical change and/or population growth	exo,pct	none	72, 78
SHY	sectors, regions	shock to total factor productivity	exo,pct	none	14, 15, 16, 30, 32
SHYY	regions	shock to raw capital sector total factor productivity	exo,pct	none	17, 18, 19, 31, 33
SHYZ	regions	shock to household capital sector total factor productivity	exo,pct	none	34, 72, 73, 74, 75, 78
STM	sec_std, regions	stock market value	end,gdp	60	61, 94
STMT	regions	total stock market value	end,gdp	61	none
TAX	goods, regions	sales tax on composite	exo,pct	none	134, 140, 24
TAXC	regions	revenue from sales and company taxes	end,gdp	140	131
TAXE	regions	revenue from externality taxes	end,gdp	139	131
TAXH	regions	revenue from taxes on wages	end,gdp	128	131, 95
TAXL	regions	revenue from lump-sum taxes	end,gdp	130	131, 68, 95
TAXM	regions	tariff revenue	end,gdp	126	131
TAXS	regions	exogenous lump sum tax	exo,gdp	none	130
TAXT	regions	total revenue	end,gdp	131	132
TAXX	regions	external tax revenue	end,gdp	127	131
TBAL	regions	trade surplus, domestic currency	end,gdp	99	100, 118, 88, 89, 92
TBAU	regions	trade surplus, USD	end,gdp	100	93
TBFD	regions	unit tax on energy	dollar,exo	none	29
TBFI	regions	unit tax on energy, imports	dollar,exo	none	25, 6
TBFX	regions	unit tax on energy, exports	dollar,exo	none	11
TCOR	regions	tax rate on corporate profits	exo,pct	none	140, 47, 48, 68
TCP	goods, regions	nonlinear unit tax for CO2	dollar,exo	none	11, 25, 29, 6
TEX	goods, regions	extern tax on composite	exo,pct	none	11, 127
TIF	goods_o, dest	fta tariff rates	exo,pct	none	125, 25, 6
TIM	goods_o, dest, orig	multilateral tariff rates	exo,pct	none	125, 25, 6
TINC	regions	tax rate on labor income	exo,pct	none	128, 68
TITC	sec_std, regions	investment tax credit rate	exo,pct	none	140, 47, 50, 56, 60
TITCH	regions	investment tax credit rate for households	exo,pct	none	128, 49, 52, 58
TIX	goods_o, dest	multilateral iceberg costs	exo,pct	none	25, 6
TOB	sec_std, regions	marginal q, TOB.NC	end,pct	50	41, 53
TOBY	regions	marginal Q, raw capital sector	end,pct	51	45, 54
TOBZ	regions	marginal Q, households	end,pct	52	46, 55
TPA	sec_std, regions	partial adjustment q	pct,sta	53	41, 53
TPAY	regions	partial adjustment Q, raw capital sector	pct,sta	54	45, 54
TPAZ	regions	partial adjustment Q, households	pct,sta	55	46, 55
TRAN	regions	total transfers	end,gdp	124	132, 68, 95
TRANX	regions	exogenous transfers	exo,gdp	none	124
TXGS	sec_std, goods_e, regions	unit tax on goods to sectors	dollar,exo	none	134
TXM	goods_o, dest	tariff revenue by good	end,gdp	125	126
WAG	sec_std, regions	sector wage	end,idx,logged	37	128, 14, 30, 56, 68, 95
WAGE	regions	wage rate	idx,intertemporal_constant,logged,sta	35	118, 128, 17, 31, 35, 36, 37, 57, 58, 68, 72, 78, 95
WAGG	regions	government wage	end,idx,logged	36	123, 128, 68, 95
WELH	regions	human wealth	cos,gdp,intertemporal_constant	95	94, 95
WELT	regions	total wealth	end,gdp	94	69
YGRO	regions	output growth	end,pct	115	none
YRATN	regions	GDP ratio, nominal	exo,pct	none	none
YRATP	regions	GDP ratio, PPP	exo,pct	none	none
YRATR	regions	GDP ratio, real	exo,pct	none	none

Name	Domain	Description
adapt	regions	rate of closure TOB-TPA gap
aeye	currency, owner	identity matrix
ainv	owner, abroad	inverse of I-ashr
ashr	currency, owner	asset split among currencies
base_jk	sec_std, regions	base J/K
btucoef	goods, regions	emissions coefficients, energy
carcoef	goods, regions	emissions coefficients, co2 on energy
cd_df	goods_o, regions	1 if Cobb-Douglas, 0 if CES
cd_e	sectors, regions	1 if cd, 0 if ces
cd_eH	regions	1 if cd, 0 if ces
cd_eR	regions	1 if cd, 0 if ces
cd_ff	goods_o, dest	1 if cd, 0 if ces
cd_m	sectors, regions	1 if cd, 0 if ces
cd_mH	regions	1 if cd, 0 if ces
cd_mR	regions	1 if cd, 0 if ces
cd_o	sectors, regions	1 if cd, 0 if ces
cd_oH	regions	1 if cd, 0 if ces
cd_oR	regions	1 if cd, 0 if ces
delta	regions	depreciation rate
delta_dom	goods_o, regions	domestic weight in CES function combining domestic and foreign sources
delta_e	regions, sec_std, goods_e	input weights, individ goods
delta_eG	goods_e, regions	gov budget shares on energy goods
delta_eH	goods_e, regions	input weights, individ goods
delta_eR	goods_e, regions	input weights on individual energy goods
delta_ff	goods_o, dest, orig	foreign source weights in FF
delta_m	regions, sec_std, goods_m	input weights, individ goods
delta_mG	goods_m, regions	gov budget shares on materials goods
delta_mH	goods_m, regions	input weights, individ goods
delta_mR	goods_m, regions	input weights on individual materials goods
delta_o	factors, sec_std, regions	input weights, KLEM tier
delta_oG	factors, regions	gov KLEM budget shares
delta_oH	factors, regions	input weights, KLEM tier
delta_oR	factors, regions	input weights, KLEM tier
eer_weight	dest, orig	trade weights, NEER and REER
fore_c	regions	shr of C driven by foresight
fore_i_y	regions	shr of I driven by foresight in capital sector
fore_i_z	regions	shr of I driven by foresight in household capital
forei	sec_std, regions	shr of I driven by foresight std sector
FTA	dest, orig	free trade area tariff flag
int_elast	regions	interest elasticity of money demand
labgrow	regions	growth of effective labor
makeinv	goods, sectors, regions	inverse of make table
mongdp	regions	coefficient on MONE in WELT
mpc	regions	marginal propensity to consume
mrule_1	regions	weight on CPI inflation in monetary rule
mrule_10	regions	weight on nominal GDP in monetary rule
mrule_11	regions	weight on nominal gross output in monetary rule
mrule_12	regions	weight on nominal gross output net of trade in monetary rule
mrule_13	regions	weight on expected CPI inflation in monetary rule
mrule_14	regions	weight on expected real output growth in monetary rule
mrule_15	regions	weight on nominal GNE in monetary rule
mrule_2	regions	weight on PPI inflation in monetary rule
mrule_3	regions	weight on Core inflation in monetary rule
mrule_4	regions	weight on CPI level in monetary rule
mrule_5	regions	weight on PPI level in monetary rule
mrule_6	regions	weight on wage in monetary rule
mrule_7	regions	weight on wage growth in monetary rule
mrule_8	regions	weight on real output growth in monetary rule
mrule_9	regions	weight on nominal gross output growth in monetary rule
mrule_ex	regions	weight on exchange rate in monetary rule
mrule_r	regions	weight on lag interest rate in monetary rule
MUL	dest, orig	multilateral tariff flag
phi	sec_std, regions	adjustment cost parameter std sector
phi_y	regions	adjustment cost parameter capital sector
phi_z	regions	adjustment cost parameter household capital
prid_weight	goods, regions	weights in PRID
prim_weight	goods_o, regions	weights in PRIM
prix_weight	goods_o, regions	weights in PRIX
sigma_df	goods_o, regions	elasticity of substitution between domestic and foreign sources
sigma_e	sectors, regions	subs elast, E tier
sigma_eH	regions	subs elast, E tier
sigma_eR	regions	subs elast, E tier
sigma_ff	goods_o, dest	subs elast between F sources
sigma_m	sectors, regions	subs elast, M tier
sigma_mH	regions	subs elast, M tier
sigma_mR	regions	subs elast, M tier
sigma_o	sectors, regions	subs elast, KLEM tier
sigma_oH	regions	subs elast, KLEM tier
sigma_oR	regions	subs elast, KLEM tier
timepref	regions	time preference rate
transgdp	regions	transfers per unit of GDP
wage_p	regions	exp infl weight in wage equation
wage_q	regions	employment parameter in wage equation

Equation 1: EXCH

\[ \href{#EXCH}{EXCH(\text{USA})} = 0 \]

Equation 2: OUY
For g1 in goods_e, r1 in regions (2 total):

\[ \href{#OUY}{OUY(g1,r1)} = \href{#CON}{CON(g1,r1)}+\href{#IIN}{IIN(g1,r1)} +\href{#INS}{INS(r1,g1)} +\href{#GCE}{GCE(g1,r1)} +\href{#EXQ}{EXQ(g1,r1)} +\sum_{s \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(\href{#EN}{EN(s,g1,r1)}\right) } \]

Equation 3: OUY
For g2 in goods_m, r1 in regions (2 total):

\[ \href{#OUY}{OUY(g2,r1)} = \href{#CON}{CON(g2,r1)}+\href{#IIN}{IIN(g2,r1)} +\href{#INS}{INS(r1,g2)} +\href{#GCE}{GCE(g2,r1)} +\href{#EXQ}{EXQ(g2,r1)} +\sum_{s \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(\href{#OI}{OI(s,g2,r1)}\right) } \]

Equation 4: IMQ
For g3 in goods_o, r1 in regions (4 total):

\[ \href{#IMQ}{IMQ(g3,r1)} = {(1-\href{#delta_dom}{delta\_dom(g3,r1)})} *\href{#OUY}{OUY(g3,r1)} *exp{ \left( \href{#PRS}{PRS(g3,r1)}-\href{#PMR}{PMR(g3,r1)}\right) } ^\href{#sigma_df}{sigma\_df(g3,r1)} \]

Equation 5: PIM
For d in dest, g3 in goods_o, o in orig (8 total):

\[ \href{#PIM}{PIM(g3,d,o)} = \href{#EXCH}{EXCH(o)}+\href{#PRX}{PRX(g3,o)} -\href{#EXCH}{EXCH(d)} \]

Equation 6: IMP
For d in dest, g3 in goods_o, o in orig (8 total):

\[ \href{#IMP}{IMP(g3,d,o)} = \href{#delta_ff}{delta\_ff(g3,d,o)}*\href{#IMQ}{IMQ(g3,d)} *{(\href{#carcoef}{carcoef(g3,d)}*\href{#TCP}{TCP(g3,d)} +\href{#btucoef}{btucoef(g3,d)}*\href{#TBFI}{TBFI(d)} +\href{#BCT}{BCT(g3,d,o)} +{(1 +{(\href{#TIM}{TIM(g3,d,o)}+\href{#TIX}{TIX(g3,d)})} *\href{#MUL}{MUL(d,o)} +\href{#TIF}{TIF(g3,d)}*\href{#FTA}{FTA(d,o)})} *exp{ \left( \href{#PIM}{PIM(g3,d,o)}-\href{#PMR}{PMR(g3,d)}\right) })} ^{(-\href{#sigma_ff}{sigma\_ff(g3,d)})} +\href{#IMPX}{IMPX(g3,d,o)} \]

Equation 7: PMQ
For d in dest, g3 in goods_o (4 total):

\[ \href{#PMQ}{PMQ(g3,d)} = ln{ \left( \frac{\sum_{o \; \text{in} \; \href{#orig}{orig}} { \left(\href{#IMP}{IMP(g3,d,o)} *exp{ \left(\href{#PIM}{PIM(g3,d,o)}\right) }\right) }}{\href{#IMQ}{IMQ(g3,d)}}\right) } \]

Equation 8: IMQT
For r1 in regions (2 total):

\[ \href{#IMQT}{IMQT(r1)} = \frac{\sum_{g3 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(exp{ \left(\href{#PMQ}{PMQ(g3,r1)}\right) } *\href{#IMQ}{IMQ(g3,r1)}\right) }}{exp{ \left(\href{#PRIM}{PRIM(r1)}\right) }} \]

Equation 9: EXQT
For r1 in regions (2 total):

\[ \href{#EXQT}{EXQT(r1)} = \frac{\sum_{g3 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(exp{ \left(\href{#PRX}{PRX(g3,r1)}\right) } *\href{#EXQ}{EXQ(g3,r1)}\right) }}{exp{ \left(\href{#PRIX}{PRIX(r1)}\right) }} \]

Equation 10: EXQ
For g3 in goods_o, o in orig (4 total):

\[ \href{#EXQ}{EXQ(g3,o)} = \sum_{d \; \text{in} \; \href{#dest}{dest}} { \left(\href{#IMP}{IMP(g3,d,o)}\right) } \]

Equation 11: PRX
For g3 in goods_o, r1 in regions (4 total):

\[ \href{#PRX}{PRX(g3,r1)} = ln{ \left( {(1+\href{#TEX}{TEX(g3,r1)})} *exp{ \left(\href{#PRS}{PRS(g3,r1)}\right) } -\href{#carcoef}{carcoef(g3,r1)}*\href{#TCP}{TCP(g3,r1)} +\href{#btucoef}{btucoef(g3,r1)}*\href{#TBFX}{TBFX(r1)}\right) } \]

Equation 12: OUG
For g3 in goods_o, r1 in regions (4 total):

\[ \href{#OUG}{OUG(g3,r1)} = \href{#delta_dom}{delta\_dom(g3,r1)}*\href{#OUY}{OUY(g3,r1)} *exp{ \left( \href{#PRS}{PRS(g3,r1)}-\href{#PRD}{PRD(g3,r1)}\right) } ^\href{#sigma_df}{sigma\_df(g3,r1)} \]

Equation 13: OUP
For r1 in regions, s3 in sectors (4 total):

\[ \href{#OUP}{OUP(s3,r1)} = \sum_{g \; \text{in} \; \href{#goods}{goods}} { \left(\href{#makeinv}{makeinv(g,s3,r1)}*\href{#OUG}{OUG(g,r1)}\right) } \]

Equation 14: LAB
For r1 in regions, s in sec_std (4 total):

\[ \href{#LAB}{LAB(s,r1)} = exp{ \left( \href{#SHL}{SHL(r1,s)}+\href{#SHY}{SHY(s,r1)}\right) } ^{(\href{#sigma_o}{sigma\_o(s,r1)}-1)} *\href{#delta_o}{delta\_o(\text{l},s,r1)} *\href{#OUP}{OUP(s,r1)} *exp{ \left( \href{#PRP}{PRP(s,r1)}-\href{#WAG}{WAG(s,r1)}\right) } ^\href{#sigma_o}{sigma\_o(s,r1)} \]

Equation 15: ENT
For r1 in regions, s in sec_std (4 total):

\[ \href{#ENT}{ENT(s,r1)} = exp{ \left( \href{#SHEF}{SHEF(s,r1)}+\href{#SHY}{SHY(s,r1)}\right) } ^{(\href{#sigma_o}{sigma\_o(s,r1)}-1)} *\href{#delta_o}{delta\_o(\text{e},s,r1)} *\href{#OUP}{OUP(s,r1)} *exp{ \left( \href{#PRP}{PRP(s,r1)}-\href{#PRE}{PRE(s,r1)}\right) } ^\href{#sigma_o}{sigma\_o(s,r1)} \]

Equation 16: OIN
For r1 in regions, s in sec_std (4 total):

\[ \href{#OIN}{OIN(s,r1)} = exp{ \left(\href{#SHY}{SHY(s,r1)}\right) } ^{(\href{#sigma_o}{sigma\_o(s,r1)}-1)} *\href{#delta_o}{delta\_o(\text{m},s,r1)} *\href{#OUP}{OUP(s,r1)} *exp{ \left( \href{#PRP}{PRP(s,r1)}-\href{#POI}{POI(s,r1)}\right) } ^\href{#sigma_o}{sigma\_o(s,r1)} \]

Equation 17: IITL
For r1 in regions (2 total):

\[ \href{#IITL}{IITL(r1)} = exp{ \left( \href{#SHLY}{SHLY(r1)}+\href{#SHYY}{SHYY(r1)}\right) } ^{(\href{#sigma_oR}{sigma\_oR(r1)}-1)} *\href{#delta_oR}{delta\_oR(\text{l},r1)} *\href{#INVT}{INVT(r1)} *exp{ \left( \href{#PRII}{PRII(r1)}-\href{#WAGE}{WAGE(r1)}\right) } ^\href{#sigma_oR}{sigma\_oR(r1)} \]

Equation 18: IITE
For r1 in regions (2 total):

\[ \href{#IITE}{IITE(r1)} = exp{ \left(\href{#SHYY}{SHYY(r1)}\right) } ^{(\href{#sigma_oR}{sigma\_oR(r1)}-1)} *\href{#delta_oR}{delta\_oR(\text{e},r1)} *\href{#INVT}{INVT(r1)} *exp{ \left( \href{#PRII}{PRII(r1)}-\href{#PRIE}{PRIE(r1)}\right) } ^\href{#sigma_oR}{sigma\_oR(r1)} \]

Equation 19: IITO
For r1 in regions (2 total):

\[ \href{#IITO}{IITO(r1)} = exp{ \left(\href{#SHYY}{SHYY(r1)}\right) } ^{(\href{#sigma_oR}{sigma\_oR(r1)}-1)} *\href{#delta_oR}{delta\_oR(\text{m},r1)} *\href{#INVT}{INVT(r1)} *exp{ \left( \href{#PRII}{PRII(r1)}-\href{#PROI}{PROI(r1)}\right) } ^\href{#sigma_oR}{sigma\_oR(r1)} \]

Equation 20: IIN
For g1 in goods_e, r1 in regions (2 total):

\[ \href{#IIN}{IIN(g1,r1)} = \href{#delta_eR}{delta\_eR(g1,r1)}*\href{#IITE}{IITE(r1)} *exp{ \left( \href{#PRIE}{PRIE(r1)}-\href{#PRY}{PRY(g1,r1)}\right) } ^\href{#sigma_eR}{sigma\_eR(r1)} \]

Equation 21: IIN
For g2 in goods_m, r1 in regions (2 total):

\[ \href{#IIN}{IIN(g2,r1)} = \href{#delta_mR}{delta\_mR(g2,r1)}*\href{#IITO}{IITO(r1)} *exp{ \left( \href{#PROI}{PROI(r1)}-\href{#PRY}{PRY(g2,r1)}\right) } ^\href{#sigma_mR}{sigma\_mR(r1)} \]

Equation 22: LABO
For r1 in regions (2 total):

\[ \href{#LABO}{LABO(r1)} = \href{#IITL}{IITL(r1)}+\href{#CNPL}{CNPL(r1)} +\href{#GOVL}{GOVL(r1)} +\sum_{s \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(\href{#LAB}{LAB(s,r1)}\right) } \]

Equation 23: PRS
For g3 in goods_o, r1 in regions (4 total):

\[ \href{#PRS}{PRS(g3,r1)} = \href{#cd_df}{cd\_df(g3,r1)} *{(\href{#delta_dom}{delta\_dom(g3,r1)}*\href{#PRD}{PRD(g3,r1)} +{(1-\href{#delta_dom}{delta\_dom(g3,r1)})} *\href{#PMR}{PMR(g3,r1)})} +\frac{{({(1-\href{#cd_df}{cd\_df(g3,r1)})} *ln{ \left( \href{#delta_dom}{delta\_dom(g3,r1)} *exp{ \left(\href{#PRD}{PRD(g3,r1)}\right) } ^{(1-\href{#sigma_df}{sigma\_df(g3,r1)})} +{(1-\href{#delta_dom}{delta\_dom(g3,r1)})} *exp{ \left(\href{#PMR}{PMR(g3,r1)}\right) } ^{(1-\href{#sigma_df}{sigma\_df(g3,r1)})}\right) })}}{{(1 -\href{#sigma_df}{sigma\_df(g3,r1)}*{(1-\href{#cd_df}{cd\_df(g3,r1)})})}} \]

Equation 24: PRY
For g in goods, r1 in regions (4 total):

\[ \href{#PRY}{PRY(g,r1)} = ln{ \left(1+\href{#TAX}{TAX(g,r1)}\right) } +\href{#PRS}{PRS(g,r1)} \]

Equation 25: PMR
For d in dest, g3 in goods_o (4 total):

\[ \href{#PMR}{PMR(g3,d)} = 0.0 +\href{#cd_ff}{cd\_ff(g3,d)} *\sum_{o \; \text{in} \; \href{#orig}{orig}} { \left(\href{#delta_ff}{delta\_ff(g3,d,o)} *ln{ \left( \href{#carcoef}{carcoef(g3,d)}*\href{#TCP}{TCP(g3,d)} +\href{#btucoef}{btucoef(g3,d)}*\href{#TBFI}{TBFI(d)} +\href{#BCT}{BCT(g3,d,o)} +{(1 +{(\href{#TIM}{TIM(g3,d,o)}+\href{#TIX}{TIX(g3,d)})} *\href{#MUL}{MUL(d,o)} +\href{#TIF}{TIF(g3,d)}*\href{#FTA}{FTA(d,o)})} *exp{ \left(\href{#PIM}{PIM(g3,d,o)}\right) }\right) }\right) } +\frac{{({(1-\href{#cd_ff}{cd\_ff(g3,d)})} *ln{ \left( \sum_{o \; \text{in} \; \href{#orig}{orig}} { \left(\href{#delta_ff}{delta\_ff(g3,d,o)} *{(\href{#carcoef}{carcoef(g3,d)}*\href{#TCP}{TCP(g3,d)} +\href{#btucoef}{btucoef(g3,d)}*\href{#TBFI}{TBFI(d)} +\href{#BCT}{BCT(g3,d,o)} +{(1 +{(\href{#TIM}{TIM(g3,d,o)}+\href{#TIX}{TIX(g3,d)})} *\href{#MUL}{MUL(d,o)} +\href{#TIF}{TIF(g3,d)}*\href{#FTA}{FTA(d,o)})} *exp{ \left(\href{#PIM}{PIM(g3,d,o)}\right) })} ^{(1-\href{#sigma_ff}{sigma\_ff(g3,d)})}\right) }\right) })}}{{(1 -\href{#sigma_ff}{sigma\_ff(g3,d)}*{(1-\href{#cd_ff}{cd\_ff(g3,d)})})}} \]

Equation 26: PRIM
For r1 in regions (2 total):

\[ \href{#PRIM}{PRIM(r1)} = \sum_{g3 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(\href{#prim_weight}{prim\_weight(g3,r1)}*\href{#PMQ}{PMQ(g3,r1)}\right) } \]

Equation 27: PRIE
For r1 in regions (2 total):

\[ \href{#PRIE}{PRIE(r1)} = \href{#cd_eR}{cd\_eR(r1)} *\sum_{g1 \; \text{in} \; \href{#goods_e}{goods\_e}} { \left(\href{#delta_eR}{delta\_eR(g1,r1)}*\href{#PRY}{PRY(g1,r1)}\right) } +\frac{{({(1-\href{#cd_eR}{cd\_eR(r1)})} *ln{ \left( \sum_{g1 \; \text{in} \; \href{#goods_e}{goods\_e}} { \left(\href{#delta_eR}{delta\_eR(g1,r1)} *exp{ \left(\href{#PRY}{PRY(g1,r1)}\right) } ^{(1-\href{#sigma_eR}{sigma\_eR(r1)})}\right) }\right) })}}{{(1 -\href{#sigma_eR}{sigma\_eR(r1)}*{(1-\href{#cd_eR}{cd\_eR(r1)})})}} \]

Equation 28: PROI
For r1 in regions (2 total):

\[ \href{#PROI}{PROI(r1)} = \href{#cd_mR}{cd\_mR(r1)} *\sum_{g2 \; \text{in} \; \href{#goods_m}{goods\_m}} { \left(\href{#delta_mR}{delta\_mR(g2,r1)}*\href{#PRY}{PRY(g2,r1)}\right) } +\frac{{({(1-\href{#cd_mR}{cd\_mR(r1)})} *ln{ \left( \sum_{g2 \; \text{in} \; \href{#goods_m}{goods\_m}} { \left(\href{#delta_mR}{delta\_mR(g2,r1)} *exp{ \left(\href{#PRY}{PRY(g2,r1)}\right) } ^{(1-\href{#sigma_mR}{sigma\_mR(r1)})}\right) }\right) })}}{{(1 -\href{#sigma_mR}{sigma\_mR(r1)}*{(1-\href{#cd_mR}{cd\_mR(r1)})})}} \]

Equation 29: PRD
For g in goods, r1 in regions (4 total):

\[ \href{#PRD}{PRD(g,r1)} = ln{ \left( exp{ \left( \sum_{s3 \; \text{in} \; \href{#sectors}{sectors}} { \left(\href{#makeinv}{makeinv(g,s3,r1)}*\href{#PRP}{PRP(s3,r1)}\right) }\right) } +\href{#carcoef}{carcoef(g,r1)}*\href{#TCP}{TCP(g,r1)} +\href{#btucoef}{btucoef(g,r1)}*\href{#TBFD}{TBFD(r1)}\right) } \]

Equation 30: PRP
For r1 in regions, s in sec_std (4 total):

\[ \href{#PRP}{PRP(s,r1)} = \href{#cd_o}{cd\_o(s,r1)} *{(\href{#delta_o}{delta\_o(\text{k},s,r1)}*\href{#PRK}{PRK(s,r1)} +\href{#delta_o}{delta\_o(\text{l},s,r1)}*\href{#WAG}{WAG(s,r1)} +\href{#delta_o}{delta\_o(\text{e},s,r1)}*\href{#PRE}{PRE(s,r1)} +\href{#delta_o}{delta\_o(\text{m},s,r1)}*\href{#POI}{POI(s,r1)} -\href{#delta_o}{delta\_o(\text{l},s,r1)}*\href{#SHL}{SHL(r1,s)} -\href{#delta_o}{delta\_o(\text{k},s,r1)}*\href{#SHK}{SHK(s,r1)} -\href{#delta_o}{delta\_o(\text{e},s,r1)}*\href{#SHEF}{SHEF(s,r1)})} +\frac{{({(1-\href{#cd_o}{cd\_o(s,r1)})} *ln{ \left( \href{#delta_o}{delta\_o(\text{k},s,r1)} *exp{ \left( \href{#PRK}{PRK(s,r1)}-\href{#SHK}{SHK(s,r1)}\right) } ^{(1-\href{#sigma_o}{sigma\_o(s,r1)})} +\href{#delta_o}{delta\_o(\text{l},s,r1)} *exp{ \left( \href{#WAG}{WAG(s,r1)}-\href{#SHL}{SHL(r1,s)}\right) } ^{(1-\href{#sigma_o}{sigma\_o(s,r1)})} +\href{#delta_o}{delta\_o(\text{e},s,r1)} *exp{ \left( \href{#PRE}{PRE(s,r1)}-\href{#SHEF}{SHEF(s,r1)}\right) } ^{(1-\href{#sigma_o}{sigma\_o(s,r1)})} +\href{#delta_o}{delta\_o(\text{m},s,r1)} *exp{ \left(\href{#POI}{POI(s,r1)}\right) } ^{(1-\href{#sigma_o}{sigma\_o(s,r1)})}\right) })}}{{(1 -\href{#sigma_o}{sigma\_o(s,r1)}*{(1-\href{#cd_o}{cd\_o(s,r1)})})}} -\href{#SHY}{SHY(s,r1)} \]

Equation 31: 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 32: PRK
For r1 in regions, s in sec_std (4 total):

\[ \href{#PRK}{PRK(s,r1)} = \href{#PRP}{PRP(s,r1)} +\frac{ln{ \left( \frac{{(\href{#delta_o}{delta\_o(\text{k},s,r1)}*\href{#OUP}{OUP(s,r1)})}}{\href{#CAP}{CAP(s,r1)}}\right) }}{\href{#sigma_o}{sigma\_o(s,r1)}} +\frac{{({(\href{#SHY}{SHY(s,r1)}+\href{#SHK}{SHK(s,r1)})} *{(\href{#sigma_o}{sigma\_o(s,r1)}-1)})}}{\href{#sigma_o}{sigma\_o(s,r1)}} \]

Equation 33: PRKY
For r1 in regions (2 total):

\[ \href{#PRKY}{PRKY(r1)} = \href{#PRII}{PRII(r1)} +\frac{ln{ \left( \frac{{(\href{#delta_oR}{delta\_oR(\text{k},r1)}*\href{#INVT}{INVT(r1)})}}{\href{#CAPY}{CAPY(r1)}}\right) }}{\href{#sigma_oR}{sigma\_oR(r1)}} +\frac{{(\href{#SHYY}{SHYY(r1)}*{(\href{#sigma_oR}{sigma\_oR(r1)}-1)})}}{\href{#sigma_oR}{sigma\_oR(r1)}} \]

Equation 34: PRKZ
For r1 in regions (2 total):

\[ \href{#PRKZ}{PRKZ(r1)} = \href{#PRCT}{PRCT(r1)} +\frac{ln{ \left( \frac{{(\href{#delta_oH}{delta\_oH(\text{k},r1)}*\href{#CONP}{CONP(r1)})}}{\href{#CAPZ}{CAPZ(r1)}}\right) }}{\href{#sigma_oH}{sigma\_oH(r1)}} +\frac{{(\href{#SHYZ}{SHYZ(r1)}*{(\href{#sigma_oH}{sigma\_oH(r1)}-1)})}}{\href{#sigma_oH}{sigma\_oH(r1)}} \]

Equation 35: WAGE
For r1 in regions (2 total):

\[ lead({\href{#WAGE}{WAGE(r1)}}) = \href{#WAGE}{WAGE(r1)} +\href{#wage_p}{wage\_p(r1)} *{(lead({\href{#PRCT}{PRCT(r1)}})+\href{#PRXX}{PRXX(r1)} -\href{#PRCT}{PRCT(r1)})} +{(1-\href{#wage_p}{wage\_p(r1)})} *{(\href{#PRCT}{PRCT(r1)}-\href{#PRCL}{PRCL(r1)})} +\href{#wage_q}{wage\_q(r1)} *ln{ \left(\href{#LABO}{LABO(r1)}\right) } \]

Equation 36: WAGG
For r1 in regions (2 total):

\[ \href{#WAGG}{WAGG(r1)} = \href{#WAGE}{WAGE(r1)} \]

Equation 37: WAG
For r1 in regions, s in sec_std (4 total):

\[ \href{#WAG}{WAG(s,r1)} = \href{#WAGE}{WAGE(r1)} \]

Equation 38: CAP
For r1 in regions, s in sec_std (4 total):

\[ lead({\href{#CAP}{CAP(s,r1)}}) = \href{#JNV}{JNV(s,r1)} +{(1-\href{#delta}{delta(r1)}-\href{#labgrow}{labgrow(r1)})} *\href{#CAP}{CAP(s,r1)} \]

Equation 39: CAPY
For r1 in regions (2 total):

\[ lead({\href{#CAPY}{CAPY(r1)}}) = \href{#JNVY}{JNVY(r1)} +{(1-\href{#delta}{delta(r1)}-\href{#labgrow}{labgrow(r1)})} *\href{#CAPY}{CAPY(r1)} \]

Equation 40: CAPZ
For r1 in regions (2 total):

\[ lead({\href{#CAPZ}{CAPZ(r1)}}) = \href{#JNVZ}{JNVZ(r1)} +{(1-\href{#delta}{delta(r1)}-\href{#labgrow}{labgrow(r1)})} *\href{#CAPZ}{CAPZ(r1)} \]

Equation 41: INV
For r1 in regions, s in sec_std (4 total):

\[ \href{#INV}{INV(s,r1)} = \frac{{({(1+.5*{(\href{#TOB}{TOB(s,r1)}-1)})}*{(\href{#TOB}{TOB(s,r1)}-1)} *\href{#CAP}{CAP(s,r1)})}}{\href{#phi}{phi(s,r1)}} *\href{#forei}{forei(s,r1)} +\frac{{({(1+.5*{(\href{#TPA}{TPA(s,r1)}-1)})}*{(\href{#TPA}{TPA(s,r1)}-1)} *\href{#CAP}{CAP(s,r1)})}}{\href{#phi}{phi(s,r1)}} *{(1-\href{#forei}{forei(s,r1)})} +\href{#SHKI}{SHKI(r1,s)} \]

Equation 42: JNV
For r1 in regions, s in sec_std (4 total):

\[ \href{#JNV}{JNV(s,r1)} = \frac{{(\href{#INV}{INV(s,r1)} +\frac{\href{#phi}{phi(s,r1)}}{2}*\href{#base_jk}{base\_jk(s,r1)}^2 *\href{#CAP}{CAP(s,r1)})}}{{(1 +\href{#phi}{phi(s,r1)}*\href{#base_jk}{base\_jk(s,r1)})}} \]

Equation 43: INVY
For r1 in regions (2 total):

\[ \href{#INVY}{INVY(r1)} = \href{#JNVY}{JNVY(r1)} *{(1 +\frac{{(\frac{\href{#phi_y}{phi\_y(r1)}}{2}*\href{#JNVY}{JNVY(r1)})}}{\href{#CAPY}{CAPY(r1)}})} \]

Equation 44: INVZ
For r1 in regions (2 total):

\[ \href{#INVZ}{INVZ(r1)} = \href{#JNVZ}{JNVZ(r1)} *{(1 +\frac{{(\frac{\href{#phi_z}{phi\_z(r1)}}{2}*\href{#JNVZ}{JNVZ(r1)})}}{\href{#CAPZ}{CAPZ(r1)}})} \]

Equation 45: JNVY
For r1 in regions (2 total):

\[ \href{#JNVY}{JNVY(r1)} = \frac{{(\href{#CAPY}{CAPY(r1)} *{(\href{#fore_i_y}{fore\_i\_y(r1)}*\href{#TOBY}{TOBY(r1)} +{(1-\href{#fore_i_y}{fore\_i\_y(r1)})}*\href{#TPAY}{TPAY(r1)} -1)})}}{\href{#phi_y}{phi\_y(r1)}} \]

Equation 46: JNVZ
For r1 in regions (2 total):

\[ \href{#JNVZ}{JNVZ(r1)} = \frac{{(\href{#CAPZ}{CAPZ(r1)} *{(\href{#fore_i_z}{fore\_i\_z(r1)}*\href{#TOBZ}{TOBZ(r1)} +{(1-\href{#fore_i_z}{fore\_i\_z(r1)})}*\href{#TPAZ}{TPAZ(r1)} -1)})}}{\href{#phi_z}{phi\_z(r1)}} \]

Equation 47: LAM
For r1 in regions, s in sec_std (4 total):

\[ lead({\href{#LAM}{LAM(s,r1)}}) = {(1+\href{#INTR}{INTR(r1)}+\href{#RISE}{RISE(s,r1)} +\href{#delta}{delta(r1)})} *\href{#LAM}{LAM(s,r1)} -{(1-\href{#TCOR}{TCOR(r1)})} *exp{ \left( \href{#PRK}{PRK(s,r1)}-\href{#PRID}{PRID(r1)}\right) } -{(1-\href{#TITC}{TITC(s,r1)})} *exp{ \left( \href{#PRII}{PRII(r1)}-\href{#PRID}{PRID(r1)}\right) } *\frac{\href{#phi}{phi(s,r1)}}{2} *\frac{\href{#JNV}{JNV(s,r1)}}{\href{#CAP}{CAP(s,r1)}} ^2 \]

Equation 48: LAMY
For r1 in regions (2 total):

\[ lead({\href{#LAMY}{LAMY(r1)}}) = {(1+\href{#INTR}{INTR(r1)}+\href{#RISY}{RISY(r1)} +\href{#delta}{delta(r1)})} *\href{#LAMY}{LAMY(r1)} -{(1-\href{#TCOR}{TCOR(r1)})} *exp{ \left( \href{#PRKY}{PRKY(r1)}-\href{#PRID}{PRID(r1)}\right) } -exp{ \left( \href{#PRII}{PRII(r1)}-\href{#PRID}{PRID(r1)}\right) } *\frac{\href{#phi_y}{phi\_y(r1)}}{2} *\frac{\href{#JNVY}{JNVY(r1)}}{\href{#CAPY}{CAPY(r1)}} ^2 \]

Equation 49: LAMZ
For r1 in regions (2 total):

\[ lead({\href{#LAMZ}{LAMZ(r1)}}) = {(1+\href{#INTR}{INTR(r1)}+\href{#RISZ}{RISZ(r1)} +\href{#delta}{delta(r1)})} *\href{#LAMZ}{LAMZ(r1)} -exp{ \left( \href{#PRKZ}{PRKZ(r1)}-\href{#PRID}{PRID(r1)}\right) } -{(1-\href{#TITCH}{TITCH(r1)})} *exp{ \left( \href{#PRII}{PRII(r1)}-\href{#PRID}{PRID(r1)}\right) } *\frac{\href{#phi_z}{phi\_z(r1)}}{2} *\frac{\href{#JNVZ}{JNVZ(r1)}}{\href{#CAPZ}{CAPZ(r1)}} ^2 \]

Equation 50: TOB
For r1 in regions, s in sec_std (4 total):

\[ \href{#TOB}{TOB(s,r1)} = \frac{{(\href{#LAM}{LAM(s,r1)} *exp{ \left( \href{#PRID}{PRID(r1)}-\href{#PRII}{PRII(r1)}\right) })}}{{(1-\href{#TITC}{TITC(s,r1)})}} \]

Equation 51: TOBY
For r1 in regions (2 total):

\[ \href{#TOBY}{TOBY(r1)} = \href{#LAMY}{LAMY(r1)} *exp{ \left( \href{#PRID}{PRID(r1)}-\href{#PRII}{PRII(r1)}\right) } \]

Equation 52: TOBZ
For r1 in regions (2 total):

\[ \href{#TOBZ}{TOBZ(r1)} = \frac{{(\href{#LAMZ}{LAMZ(r1)} *exp{ \left( \href{#PRID}{PRID(r1)}-\href{#PRII}{PRII(r1)}\right) })}}{{(1-\href{#TITCH}{TITCH(r1)})}} \]

Equation 53: TPA
For r1 in regions, s in sec_std (4 total):

\[ lead({\href{#TPA}{TPA(s,r1)}}) = \href{#TPA}{TPA(s,r1)} +\href{#adapt}{adapt(r1)} *{(\href{#TOB}{TOB(s,r1)}-\href{#TPA}{TPA(s,r1)})} \]

Equation 54: TPAY
For r1 in regions (2 total):

\[ lead({\href{#TPAY}{TPAY(r1)}}) = \href{#TPAY}{TPAY(r1)} +\href{#adapt}{adapt(r1)} *{(\href{#TOBY}{TOBY(r1)}-\href{#TPAY}{TPAY(r1)})} \]

Equation 55: TPAZ
For r1 in regions (2 total):

\[ lead({\href{#TPAZ}{TPAZ(r1)}}) = \href{#TPAZ}{TPAZ(r1)} +\href{#adapt}{adapt(r1)} *{(\href{#TOBZ}{TOBZ(r1)}-\href{#TPAZ}{TPAZ(r1)})} \]

Equation 56: PRF
For r1 in regions, s in sec_std (4 total):

\[ \href{#PRF}{PRF(s,r1)} = \frac{{(\href{#OUP}{OUP(s,r1)} *exp{ \left(\href{#PRP}{PRP(s,r1)}\right) } -\href{#ENT}{ENT(s,r1)} *exp{ \left(\href{#PRE}{PRE(s,r1)}\right) } -\href{#LAB}{LAB(s,r1)} *exp{ \left(\href{#WAG}{WAG(s,r1)}\right) } -\href{#OIN}{OIN(s,r1)} *exp{ \left(\href{#POI}{POI(s,r1)}\right) } -{(1-\href{#TITC}{TITC(s,r1)})}*\href{#INV}{INV(s,r1)} *exp{ \left(\href{#PRII}{PRII(r1)}\right) })}}{exp{ \left(\href{#PRID}{PRID(r1)}\right) }} \]

Equation 57: PRFY
For r1 in regions (2 total):

\[ \href{#PRFY}{PRFY(r1)} = \frac{{(\href{#INVT}{INVT(r1)} *exp{ \left(\href{#PRII}{PRII(r1)}\right) } -\href{#IITE}{IITE(r1)} *exp{ \left(\href{#PRIE}{PRIE(r1)}\right) } -\href{#IITL}{IITL(r1)} *exp{ \left(\href{#WAGE}{WAGE(r1)}\right) } -\href{#IITO}{IITO(r1)} *exp{ \left(\href{#PROI}{PROI(r1)}\right) } -\href{#INVY}{INVY(r1)} *exp{ \left(\href{#PRII}{PRII(r1)}\right) })}}{exp{ \left(\href{#PRID}{PRID(r1)}\right) }} \]

Equation 58: PRFZ
For r1 in regions (2 total):

\[ \href{#PRFZ}{PRFZ(r1)} = \frac{{(\href{#CONP}{CONP(r1)} *exp{ \left(\href{#PRCT}{PRCT(r1)}\right) } -\href{#CNPE}{CNPE(r1)} *exp{ \left(\href{#PRCE}{PRCE(r1)}\right) } -\href{#CNPL}{CNPL(r1)} *exp{ \left(\href{#WAGE}{WAGE(r1)}\right) } -\href{#CNPO}{CNPO(r1)} *exp{ \left(\href{#PRCO}{PRCO(r1)}\right) } -{(1-\href{#TITCH}{TITCH(r1)})}*\href{#INVZ}{INVZ(r1)} *exp{ \left(\href{#PRII}{PRII(r1)}\right) })}}{exp{ \left(\href{#PRID}{PRID(r1)}\right) }} \]

Equation 59: PRFT
For r1 in regions (2 total):

\[ \href{#PRFT}{PRFT(r1)} = \sum_{s \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(\href{#PRF}{PRF(s,r1)}\right) } +\href{#PRFY}{PRFY(r1)} \]

Equation 60: STM
For r1 in regions, s in sec_std (4 total):

\[ \href{#STM}{STM(s,r1)} = \frac{{(\href{#LAM}{LAM(s,r1)}*\href{#CAP}{CAP(s,r1)})}}{{(1-\href{#TITC}{TITC(s,r1)})}} \]

Equation 61: STMT
For r1 in regions (2 total):

\[ \href{#STMT}{STMT(r1)} = \sum_{s \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(\href{#STM}{STM(s,r1)}\right) } \]

Equation 62: INVP
For r1 in regions (2 total):

\[ \href{#INVP}{INVP(r1)} = \sum_{s \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(\href{#INV}{INV(s,r1)}\right) } \]

Equation 63: INVT
For r1 in regions (2 total):

\[ \href{#INVT}{INVT(r1)} = \href{#INVY}{INVY(r1)}+\href{#INVZ}{INVZ(r1)} +\href{#INVP}{INVP(r1)} \]

Equation 64: PRID
For r1 in regions (2 total):

\[ \href{#PRID}{PRID(r1)} = \sum_{g \; \text{in} \; \href{#goods}{goods}} { \left(\href{#prid_weight}{prid\_weight(g,r1)}*\href{#PRD}{PRD(g,r1)}\right) } \]

Equation 65: PRIX
For r1 in regions (2 total):

\[ \href{#PRIX}{PRIX(r1)} = \sum_{g3 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(\href{#prix_weight}{prix\_weight(g3,r1)}*\href{#PRX}{PRX(g3,r1)}\right) } \]

Equation 66: OUTP
For r1 in regions (2 total):

\[ \href{#OUTP}{OUTP(r1)} = \frac{\sum_{g \; \text{in} \; \href{#goods}{goods}} { \left(exp{ \left(\href{#PRD}{PRD(g,r1)}\right) } *\href{#OUG}{OUG(g,r1)}\right) }}{exp{ \left(\href{#PRID}{PRID(r1)}\right) }} \]

Equation 67: OUTL
For r1 in regions (2 total):

\[ lead({\href{#OUTL}{OUTL(r1)}}) = \href{#OUTP}{OUTP(r1)} \]

Equation 68: INCM
For r1 in regions (2 total):

\[ \href{#INCM}{INCM(r1)} = \href{#TRAN}{TRAN(r1)}-\href{#TAXL}{TAXL(r1)} +\href{#INTR}{INTR(r1)}*\href{#BOND}{BOND(r1)} +\frac{\href{#IRAS}{IRAS(r1)}}{exp{ \left(\href{#REXN}{REXN(r1)}\right) }} +\href{#PRFZ}{PRFZ(r1)} +{(1-\href{#TCOR}{TCOR(r1)})}*\href{#PRFT}{PRFT(r1)} +\frac{{({(1-\href{#TINC}{TINC(r1)})} *{(exp{ \left(\href{#WAGE}{WAGE(r1)}\right) } *{(\href{#IITL}{IITL(r1)}+\href{#CNPL}{CNPL(r1)})} +exp{ \left(\href{#WAGG}{WAGG(r1)}\right) } *\href{#GOVL}{GOVL(r1)} +\sum_{s \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(exp{ \left(\href{#WAG}{WAG(s,r1)}\right) } *\href{#LAB}{LAB(s,r1)}\right) })})}}{exp{ \left(\href{#PRID}{PRID(r1)}\right) }} \]

Equation 69: CONP
For r1 in regions (2 total):

\[ \href{#CONP}{CONP(r1)} = \href{#fore_c}{fore\_c(r1)} *{(\href{#timepref}{timepref(r1)}+\href{#RISW}{RISW(r1)})} *\href{#WELT}{WELT(r1)} *exp{ \left( \href{#PRID}{PRID(r1)}-\href{#PRCT}{PRCT(r1)}\right) } +{(1-\href{#fore_c}{fore\_c(r1)})}*\href{#mpc}{mpc(r1)} *\href{#INCM}{INCM(r1)} *exp{ \left( \href{#PRID}{PRID(r1)}-\href{#PRCT}{PRCT(r1)}\right) } +\href{#SHKC}{SHKC(r1)} \]

Equation 70: 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 71: 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 72: CNPL
For r1 in regions (2 total):

\[ \href{#CNPL}{CNPL(r1)} = exp{ \left( \href{#SHLZ}{SHLZ(r1)}+\href{#SHYZ}{SHYZ(r1)}\right) } ^{(\href{#sigma_oH}{sigma\_oH(r1)}-1)} *\href{#delta_oH}{delta\_oH(\text{l},r1)} *\href{#CONP}{CONP(r1)} *exp{ \left( \href{#PRCT}{PRCT(r1)}-\href{#WAGE}{WAGE(r1)}\right) } ^\href{#sigma_oH}{sigma\_oH(r1)} \]

Equation 73: CNPE
For r1 in regions (2 total):

\[ \href{#CNPE}{CNPE(r1)} = exp{ \left( \href{#SHEFC}{SHEFC(r1)}+\href{#SHYZ}{SHYZ(r1)}\right) } ^{(\href{#sigma_oH}{sigma\_oH(r1)}-1)} *\href{#delta_oH}{delta\_oH(\text{e},r1)} *\href{#CONP}{CONP(r1)} *exp{ \left( \href{#PRCT}{PRCT(r1)}-\href{#PRCE}{PRCE(r1)}\right) } ^\href{#sigma_oH}{sigma\_oH(r1)} \]

Equation 74: CNPO
For r1 in regions (2 total):

\[ \href{#CNPO}{CNPO(r1)} = exp{ \left(\href{#SHYZ}{SHYZ(r1)}\right) } ^{(\href{#sigma_oH}{sigma\_oH(r1)}-1)} *\href{#delta_oH}{delta\_oH(\text{m},r1)} *\href{#CONP}{CONP(r1)} *exp{ \left( \href{#PRCT}{PRCT(r1)}-\href{#PRCO}{PRCO(r1)}\right) } ^\href{#sigma_oH}{sigma\_oH(r1)} \]

Equation 75: CNPK
For r1 in regions (2 total):

\[ \href{#CNPK}{CNPK(r1)} = exp{ \left(\href{#SHYZ}{SHYZ(r1)}\right) } ^{(\href{#sigma_oH}{sigma\_oH(r1)}-1)} *\href{#delta_oH}{delta\_oH(\text{k},r1)} *\href{#CONP}{CONP(r1)} *exp{ \left( \href{#PRCT}{PRCT(r1)}-\href{#PRKZ}{PRKZ(r1)}\right) } ^\href{#sigma_oH}{sigma\_oH(r1)} \]

Equation 76: CON
For g1 in goods_e, r1 in regions (2 total):

\[ \href{#CON}{CON(g1,r1)} = \href{#delta_eH}{delta\_eH(g1,r1)}*\href{#CNPE}{CNPE(r1)} *exp{ \left( \href{#PRCE}{PRCE(r1)}-\href{#PRY}{PRY(g1,r1)}\right) } ^\href{#sigma_eH}{sigma\_eH(r1)} \]

Equation 77: CON
For g2 in goods_m, r1 in regions (2 total):

\[ \href{#CON}{CON(g2,r1)} = \href{#delta_mH}{delta\_mH(g2,r1)}*\href{#CNPO}{CNPO(r1)} *exp{ \left( \href{#PRCO}{PRCO(r1)}-\href{#PRY}{PRY(g2,r1)}\right) } ^\href{#sigma_mH}{sigma\_mH(r1)} \]

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: PRCE
For r1 in regions (2 total):

\[ \href{#PRCE}{PRCE(r1)} = \href{#cd_eH}{cd\_eH(r1)} *\sum_{g1 \; \text{in} \; \href{#goods_e}{goods\_e}} { \left(\href{#delta_eH}{delta\_eH(g1,r1)}*\href{#PRY}{PRY(g1,r1)}\right) } +\frac{{({(1-\href{#cd_eH}{cd\_eH(r1)})} *ln{ \left( \sum_{g1 \; \text{in} \; \href{#goods_e}{goods\_e}} { \left(\href{#delta_eH}{delta\_eH(g1,r1)} *exp{ \left(\href{#PRY}{PRY(g1,r1)}\right) } ^{(1-\href{#sigma_eH}{sigma\_eH(r1)})}\right) }\right) })}}{{(1 -\href{#sigma_eH}{sigma\_eH(r1)}*{(1-\href{#cd_eH}{cd\_eH(r1)})})}} \]

Equation 80: PRCO
For r1 in regions (2 total):

\[ \href{#PRCO}{PRCO(r1)} = \href{#cd_mH}{cd\_mH(r1)} *\sum_{g2 \; \text{in} \; \href{#goods_m}{goods\_m}} { \left(\href{#delta_mH}{delta\_mH(g2,r1)}*\href{#PRY}{PRY(g2,r1)}\right) } +\frac{{({(1-\href{#cd_mH}{cd\_mH(r1)})} *ln{ \left( \sum_{g2 \; \text{in} \; \href{#goods_m}{goods\_m}} { \left(\href{#delta_mH}{delta\_mH(g2,r1)} *exp{ \left(\href{#PRY}{PRY(g2,r1)}\right) } ^{(1-\href{#sigma_mH}{sigma\_mH(r1)})}\right) }\right) })}}{{(1 -\href{#sigma_mH}{sigma\_mH(r1)}*{(1-\href{#cd_mH}{cd\_mH(r1)})})}} \]

Equation 81: PRGT
For r1 in regions (2 total):

\[ \href{#PRGT}{PRGT(r1)} = \frac{\href{#delta_oG}{delta\_oG(\text{e},r1)}}{{(\href{#delta_oG}{delta\_oG(\text{e},r1)} +\href{#delta_oG}{delta\_oG(\text{m},r1)})}} *\sum_{g1 \; \text{in} \; \href{#goods_e}{goods\_e}} { \left(\href{#delta_eG}{delta\_eG(g1,r1)}*\href{#PRY}{PRY(g1,r1)}\right) } +\frac{\href{#delta_oG}{delta\_oG(\text{m},r1)}}{{(\href{#delta_oG}{delta\_oG(\text{e},r1)} +\href{#delta_oG}{delta\_oG(\text{m},r1)})}} *\sum_{g2 \; \text{in} \; \href{#goods_m}{goods\_m}} { \left(\href{#delta_mG}{delta\_mG(g2,r1)}*\href{#PRY}{PRY(g2,r1)}\right) } \]

Equation 82: MONE
For r1 in regions (2 total):

\[ \href{#MONE}{MONE(r1)} = \href{#PRID}{PRID(r1)} +ln{ \left(\href{#OUTP}{OUTP(r1)}\right) } +\href{#int_elast}{int\_elast(r1)}*\href{#INTN}{INTN(r1)} +\href{#SHKM}{SHKM(r1)} \]

Equation 83: 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 84: INTR
For r1 in regions (2 total):

\[ \href{#INTR}{INTR(r1)} = \href{#INTF}{INTF(r1)}+\href{#RISR}{RISR(r1)} \]

Equation 85: INFP
For r1 in regions (2 total):

\[ \href{#INFP}{INFP(r1)} = \href{#PRID}{PRID(r1)}-\href{#PRDL}{PRDL(r1)} \]

Equation 86: PRCL
For r1 in regions (2 total):

\[ lead({\href{#PRCL}{PRCL(r1)}}) = \href{#PRCT}{PRCT(r1)} \]

Equation 87: PRDL
For r1 in regions (2 total):

\[ lead({\href{#PRDL}{PRDL(r1)}}) = \href{#PRID}{PRID(r1)} \]

Equation 88: GDPN
For r1 in regions (2 total):

\[ \href{#GDPN}{GDPN(r1)} = exp{ \left(\href{#PRCT}{PRCT(r1)}\right) } *\href{#CONP}{CONP(r1)} +exp{ \left(\href{#PRID}{PRID(r1)}\right) } *\href{#GCET}{GCET(r1)} +exp{ \left(\href{#PRII}{PRII(r1)}\right) } *\href{#INVT}{INVT(r1)} +exp{ \left(\href{#PRID}{PRID(r1)}\right) } *\href{#TBAL}{TBAL(r1)} +\sum_{g3 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(exp{ \left(\href{#PRII}{PRII(r1)}\right) } *\href{#INS}{INS(r1,g3)}\right) } \]

Equation 89: GDPR
For r1 in regions (2 total):

\[ \href{#GDPR}{GDPR(r1)} = \href{#CONP}{CONP(r1)}+\href{#GCET}{GCET(r1)} +\href{#INVT}{INVT(r1)} +\href{#TBAL}{TBAL(r1)} +\sum_{g3 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(\href{#INS}{INS(r1,g3)}\right) } \]

Equation 90: PGDP
For r1 in regions (2 total):

\[ \href{#PGDP}{PGDP(r1)} = ln{ \left(\href{#GDPN}{GDPN(r1)}\right) } -ln{ \left(\href{#GDPR}{GDPR(r1)}\right) } \]

Equation 91: GNPR
For r1 in regions (2 total):

\[ \href{#GNPR}{GNPR(r1)} = \href{#GDPR}{GDPR(r1)} +\frac{{(\href{#PBAL}{PBAL(r1)}+\href{#IRAS}{IRAS(r1)})}}{exp{ \left(\href{#REXN}{REXN(r1)}\right) }} \]

Equation 92: 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 93: CURR
For r1 in regions (2 total):

\[ \href{#CURR}{CURR(r1)} = \href{#TBAU}{TBAU(r1)}+\href{#PBAL}{PBAL(r1)} +\href{#IRAS}{IRAS(r1)} \]

Equation 94: WELT
For r1 in regions (2 total):

\[ \href{#WELT}{WELT(r1)} = \href{#BOND}{BOND(r1)} +\frac{\href{#ASSU}{ASSU(r1)}}{exp{ \left(\href{#REXN}{REXN(r1)}\right) }} +\frac{{(\href{#mongdp}{mongdp(r1)} *exp{ \left(\href{#MONE}{MONE(r1)}\right) })}}{exp{ \left(\href{#PRID}{PRID(r1)}\right) }} +\href{#WELH}{WELH(r1)} +\href{#LAMY}{LAMY(r1)}*\href{#CAPY}{CAPY(r1)} +\href{#LAMZ}{LAMZ(r1)}*\href{#CAPZ}{CAPZ(r1)} +\sum_{s \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(\href{#STM}{STM(s,r1)}\right) } \]

Equation 95: WELH
For r1 in regions (2 total):

\[ lead({\href{#WELH}{WELH(r1)}}) = {(1+\href{#RISW}{RISW(r1)}+\href{#RISH}{RISH(r1)} +\href{#INTR}{INTR(r1)} -\href{#labgrow}{labgrow(r1)})} *\href{#WELH}{WELH(r1)} -\href{#TRAN}{TRAN(r1)} +\href{#TAXH}{TAXH(r1)} +\href{#TAXL}{TAXL(r1)} -\frac{{(exp{ \left(\href{#WAGE}{WAGE(r1)}\right) } *{(\href{#IITL}{IITL(r1)}+\href{#CNPL}{CNPL(r1)})} +exp{ \left(\href{#WAGG}{WAGG(r1)}\right) } *\href{#GOVL}{GOVL(r1)} +\sum_{s \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(exp{ \left(\href{#WAG}{WAG(s,r1)}\right) } *\href{#LAB}{LAB(s,r1)}\right) })}}{exp{ \left(\href{#PRID}{PRID(r1)}\right) }} \]

Equation 96: SAVI
For r1 in regions (2 total):

\[ \href{#SAVI}{SAVI(r1)} = \href{#INVT}{INVT(r1)} *exp{ \left( \href{#PRII}{PRII(r1)}-\href{#PRID}{PRID(r1)}\right) } +\frac{\href{#CURR}{CURR(r1)}}{exp{ \left(\href{#REXN}{REXN(r1)}\right) }} +\href{#DEFI}{DEFI(r1)} \]

Equation 97: SAVN
For r1 in regions (2 total):

\[ \href{#SAVN}{SAVN(r1)} = \href{#INVT}{INVT(r1)} *exp{ \left( \href{#PRII}{PRII(r1)}-\href{#PRID}{PRID(r1)}\right) } +\href{#CURN}{CURN(r1)} +\href{#DEFN}{DEFN(r1)} \]

Equation 98: SAVT
For r1 in regions (2 total):

\[ \href{#SAVT}{SAVT(r1)} = \href{#INVT}{INVT(r1)} *exp{ \left( \href{#PRII}{PRII(r1)}-\href{#PRID}{PRID(r1)}\right) } +\href{#CURN}{CURN(r1)} \]

Equation 99: TBAL
For r1 in regions (2 total):

\[ \href{#TBAL}{TBAL(r1)} = \href{#EXQT}{EXQT(r1)}-\href{#IMQT}{IMQT(r1)} \]

Equation 100: TBAU
For r1 in regions (2 total):

\[ \href{#TBAU}{TBAU(r1)} = \href{#TBAL}{TBAL(r1)} *exp{ \left(\href{#REXN}{REXN(r1)}\right) } \]

Equation 101: EXCH

\[ \href{#EXCH}{EXCH(n)} = \href{#REXN}{REXN(n)}-\href{#PRID}{PRID(n)} +\href{#PRID}{PRID(\text{USA})} \]

Equation 102: EXCL
For r1 in regions (2 total):

\[ lead({\href{#EXCL}{EXCL(r1)}}) = \href{#EXCH}{EXCH(r1)} \]

Equation 103: 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 104: REXN
For r1 in regions (2 total):

\[ \href{#REXN}{REXN(r1)} = \href{#REXC}{REXC(r1)} \]

Equation 105: 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 106: 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 107: 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 108: 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 109: 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 110: EYGR
For r1 in regions (2 total):

\[ \href{#EYGR}{EYGR(r1)} = ln{ \left(lead({\href{#OUTP}{OUTP(r1)}})\right) } -ln{ \left(\href{#OUTP}{OUTP(r1)}\right) } \]

Equation 111: EPRC
For r1 in regions (2 total):

\[ \href{#EPRC}{EPRC(r1)} = lead({\href{#PRCT}{PRCT(r1)}})-\href{#PRCT}{PRCT(r1)} \]

Equation 112: INFL
For r1 in regions (2 total):

\[ \href{#INFL}{INFL(r1)} = \href{#PRCT}{PRCT(r1)}-\href{#PRCL}{PRCL(r1)} \]

Equation 113: PRCOL
For r1 in regions (2 total):

\[ lead({\href{#PRCOL}{PRCOL(r1)}}) = \href{#PRCO}{PRCO(r1)} \]

Equation 114: INFCL
For r1 in regions (2 total):

\[ \href{#INFCL}{INFCL(r1)} = \href{#PRCO}{PRCO(r1)}-\href{#PRCOL}{PRCOL(r1)} \]

Equation 115: YGRO
For r1 in regions (2 total):

\[ \href{#YGRO}{YGRO(r1)} = ln{ \left(\href{#OUTP}{OUTP(r1)}\right) } -ln{ \left(\href{#OUTL}{OUTL(r1)}\right) } \]

Equation 116: GNEN
For r1 in regions (2 total):

\[ \href{#GNEN}{GNEN(r1)} = exp{ \left(\href{#PRCT}{PRCT(r1)}\right) } *\href{#CONP}{CONP(r1)} +exp{ \left(\href{#PRID}{PRID(r1)}\right) } *\href{#GCET}{GCET(r1)} +exp{ \left(\href{#PRII}{PRII(r1)}\right) } *\href{#INVT}{INVT(r1)} +\sum_{g3 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(exp{ \left(\href{#PRII}{PRII(r1)}\right) } *\href{#INS}{INS(r1,g3)}\right) } \]

Equation 117: GNER
For r1 in regions (2 total):

\[ \href{#GNER}{GNER(r1)} = \href{#CONP}{CONP(r1)}+\href{#GCET}{GCET(r1)} +\href{#INVT}{INVT(r1)} +\sum_{g3 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(\href{#INS}{INS(r1,g3)}\right) } \]

Equation 118: INTN
For r1 in regions (2 total):

\[ \href{#INTN}{INTN(r1)} = \href{#mrule_r}{mrule\_r(r1)}*\href{#INTL}{INTL(r1)} +\href{#mrule_ex}{mrule\_ex(r1)} *{(\href{#EXCH}{EXCH(r1)}-\href{#EXCL}{EXCL(r1)} -\href{#EXCX}{EXCX(r1)})} +\href{#mrule_1}{mrule\_1(r1)} *{(\href{#INFL}{INFL(r1)}-\href{#INFX}{INFX(r1)})} +\href{#mrule_2}{mrule\_2(r1)} *{(\href{#INFP}{INFP(r1)}-\href{#INFX}{INFX(r1)})} +\href{#mrule_3}{mrule\_3(r1)} *{(\href{#INFCL}{INFCL(r1)}-\href{#INFX}{INFX(r1)})} +\href{#mrule_4}{mrule\_4(r1)} *{(\href{#PRCT}{PRCT(r1)}-\href{#PTAR}{PTAR(r1)})} +\href{#mrule_5}{mrule\_5(r1)} *{(\href{#PRID}{PRID(r1)}-\href{#PTAR}{PTAR(r1)})} +\href{#mrule_6}{mrule\_6(r1)} *{(\href{#WAGE}{WAGE(r1)}-\href{#PTAR}{PTAR(r1)})} +\href{#mrule_7}{mrule\_7(r1)}*0 +\href{#mrule_8}{mrule\_8(r1)} *{(ln{ \left(\href{#OUTP}{OUTP(r1)}\right) } -ln{ \left(\href{#OUTL}{OUTL(r1)}\right) } -\href{#ROGY}{ROGY(r1)})} +\href{#mrule_9}{mrule\_9(r1)} *{(ln{ \left(\href{#OUTP}{OUTP(r1)}\right) } -ln{ \left(\href{#OUTL}{OUTL(r1)}\right) } -\href{#ROGY}{ROGY(r1)} +\href{#INFP}{INFP(r1)} -\href{#INFX}{INFX(r1)})} +\href{#mrule_10}{mrule\_10(r1)} *{(ln{ \left(\href{#GDPN}{GDPN(r1)}\right) } -\href{#ROGY}{ROGY(r1)})} +\href{#mrule_11}{mrule\_11(r1)} *{(ln{ \left(\href{#OUTP}{OUTP(r1)}\right) } +\href{#PRID}{PRID(r1)})} +\href{#mrule_12}{mrule\_12(r1)} *ln{ \left( \href{#OUTP}{OUTP(r1)} *exp{ \left(\href{#PRID}{PRID(r1)}\right) } -\href{#TBAL}{TBAL(r1)}\right) } +\href{#mrule_13}{mrule\_13(r1)} *{(\href{#EPRC}{EPRC(r1)}-\href{#INFX}{INFX(r1)})} +\href{#mrule_14}{mrule\_14(r1)} *{(\href{#EYGR}{EYGR(r1)}-\href{#ROGY}{ROGY(r1)})} +\href{#mrule_15}{mrule\_15(r1)} *{(ln{ \left(\href{#GNEN}{GNEN(r1)}\right) } -\href{#ROGY}{ROGY(r1)})} \]

Equation 119: INTL
For r1 in regions (2 total):

\[ lead({\href{#INTL}{INTL(r1)}}) = \href{#INTN}{INTN(r1)} \]

Equation 120: GCE
For g1 in goods_e, r1 in regions (2 total):

\[ \href{#GCE}{GCE(g1,r1)} = \frac{{(\href{#delta_eG}{delta\_eG(g1,r1)} *\frac{\href{#delta_oG}{delta\_oG(\text{e},r1)}}{{(\href{#delta_oG}{delta\_oG(\text{e},r1)} +\href{#delta_oG}{delta\_oG(\text{m},r1)})}} *\href{#GOVS}{GOVS(r1)} *exp{ \left(\href{#PRID}{PRID(r1)}\right) })}}{exp{ \left(\href{#PRY}{PRY(g1,r1)}\right) }} \]

Equation 121: GCE
For g2 in goods_m, r1 in regions (2 total):

\[ \href{#GCE}{GCE(g2,r1)} = \frac{{(\href{#delta_mG}{delta\_mG(g2,r1)} *\frac{\href{#delta_oG}{delta\_oG(\text{m},r1)}}{{(\href{#delta_oG}{delta\_oG(\text{e},r1)} +\href{#delta_oG}{delta\_oG(\text{m},r1)})}} *\href{#GOVS}{GOVS(r1)} *exp{ \left(\href{#PRID}{PRID(r1)}\right) })}}{exp{ \left(\href{#PRY}{PRY(g2,r1)}\right) }} \]

Equation 122: GCET
For r1 in regions (2 total):

\[ \href{#GCET}{GCET(r1)} = \frac{\sum_{g3 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(\href{#GCE}{GCE(g3,r1)} *exp{ \left(\href{#PRY}{PRY(g3,r1)}\right) }\right) }}{exp{ \left(\href{#PRID}{PRID(r1)}\right) }} \]

Equation 123: GOVT
For r1 in regions (2 total):

\[ \href{#GOVT}{GOVT(r1)} = \href{#GCET}{GCET(r1)} +\href{#GOVL}{GOVL(r1)} *exp{ \left( \href{#WAGG}{WAGG(r1)}-\href{#PRID}{PRID(r1)}\right) } \]

Equation 124: TRAN
For r1 in regions (2 total):

\[ \href{#TRAN}{TRAN(r1)} = \href{#TRANX}{TRANX(r1)} +\href{#transgdp}{transgdp(r1)}*\href{#OUTP}{OUTP(r1)} \]

Equation 125: TXM
For d in dest, g3 in goods_o (4 total):

\[ \href{#TXM}{TXM(g3,d)} = \frac{\sum_{o \; \text{in} \; \href{#orig}{orig}} { \left({(\href{#TIM}{TIM(g3,d,o)}*\href{#MUL}{MUL(d,o)} +\href{#TIF}{TIF(g3,d)}*\href{#FTA}{FTA(d,o)})} *exp{ \left(\href{#PIM}{PIM(g3,d,o)}\right) } *\href{#IMP}{IMP(g3,d,o)}\right) }}{exp{ \left(\href{#PRID}{PRID(d)}\right) }} \]

Equation 126: TAXM
For d in dest (2 total):

\[ \href{#TAXM}{TAXM(d)} = \sum_{g3 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(\href{#TXM}{TXM(g3,d)}\right) } \]

Equation 127: TAXX
For r1 in regions (2 total):

\[ \href{#TAXX}{TAXX(r1)} = \frac{\sum_{g3 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(\href{#TEX}{TEX(g3,r1)} *exp{ \left(\href{#PRS}{PRS(g3,r1)}\right) } *\href{#EXQ}{EXQ(g3,r1)}\right) }}{exp{ \left(\href{#PRID}{PRID(r1)}\right) }} \]

Equation 128: TAXH
For r1 in regions (2 total):

\[ \href{#TAXH}{TAXH(r1)} = \frac{{(\href{#TINC}{TINC(r1)} *{(exp{ \left(\href{#WAGE}{WAGE(r1)}\right) } *{(\href{#IITL}{IITL(r1)}+\href{#CNPL}{CNPL(r1)})} +exp{ \left(\href{#WAGG}{WAGG(r1)}\right) } *\href{#GOVL}{GOVL(r1)} +\sum_{s \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(exp{ \left(\href{#WAG}{WAG(s,r1)}\right) } *\href{#LAB}{LAB(s,r1)}\right) })} -\href{#TITCH}{TITCH(r1)} *exp{ \left(\href{#PRII}{PRII(r1)}\right) } *\href{#INVZ}{INVZ(r1)})}}{exp{ \left(\href{#PRID}{PRID(r1)}\right) }} \]

Equation 129: 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 130: TAXL
For r1 in regions (2 total):

\[ \href{#TAXL}{TAXL(r1)} = \href{#INTR}{INTR(r1)}*\href{#BOND}{BOND(r1)} +\href{#TAXS}{TAXS(r1)} \]

Equation 131: TAXT
For r1 in regions (2 total):

\[ \href{#TAXT}{TAXT(r1)} = \href{#TAXC}{TAXC(r1)}+\href{#TAXH}{TAXH(r1)} +\href{#TAXL}{TAXL(r1)} +\href{#TAXM}{TAXM(r1)} +\href{#TAXX}{TAXX(r1)} +\href{#TAXE}{TAXE(r1)} \]

Equation 132: DEFI
For r1 in regions (2 total):

\[ \href{#DEFI}{DEFI(r1)} = \href{#GOVT}{GOVT(r1)}+\href{#TRAN}{TRAN(r1)} -\href{#TAXT}{TAXT(r1)} +\href{#INTR}{INTR(r1)}*\href{#BOND}{BOND(r1)} \]

Equation 133: 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 134: PRT
For g1 in goods_e, r1 in regions, s in sec_std (4 total):

\[ \href{#PRT}{PRT(s,g1,r1)} = ln{ \left( exp{ \left(\href{#PRS}{PRS(g1,r1)}\right) } *{(1+\href{#TAX}{TAX(g1,r1)})} +\href{#TXGS}{TXGS(s,g1,r1)}\right) } \]

Equation 135: EN
For g1 in goods_e, r1 in regions, s in sec_std (4 total):

\[ \href{#EN}{EN(s,g1,r1)} = \href{#delta_e}{delta\_e(r1,s,g1)}*\href{#ENT}{ENT(s,r1)} *exp{ \left( \href{#PRE}{PRE(s,r1)}-\href{#PRT}{PRT(s,g1,r1)}\right) } ^\href{#sigma_e}{sigma\_e(s,r1)} \]

Equation 136: OI
For g2 in goods_m, r1 in regions, s in sec_std (4 total):

\[ \href{#OI}{OI(s,g2,r1)} = \href{#delta_m}{delta\_m(r1,s,g2)}*\href{#OIN}{OIN(s,r1)} *exp{ \left( \href{#POI}{POI(s,r1)}-\href{#PRY}{PRY(g2,r1)}\right) } ^\href{#sigma_m}{sigma\_m(s,r1)} \]

Equation 137: PRE
For r1 in regions, s in sec_std (4 total):

\[ \href{#PRE}{PRE(s,r1)} = \href{#cd_e}{cd\_e(s,r1)} *\sum_{g1 \; \text{in} \; \href{#goods_e}{goods\_e}} { \left(\href{#delta_e}{delta\_e(r1,s,g1)}*\href{#PRT}{PRT(s,g1,r1)}\right) } +\frac{{({(1-\href{#cd_e}{cd\_e(s,r1)})} *ln{ \left( \sum_{g1 \; \text{in} \; \href{#goods_e}{goods\_e}} { \left(\href{#delta_e}{delta\_e(r1,s,g1)} *exp{ \left(\href{#PRT}{PRT(s,g1,r1)}\right) } ^{(1-\href{#sigma_e}{sigma\_e(s,r1)})}\right) }\right) })}}{{(1 -\href{#sigma_e}{sigma\_e(s,r1)}*{(1-\href{#cd_e}{cd\_e(s,r1)})})}} \]

Equation 138: POI
For r1 in regions, s in sec_std (4 total):

\[ \href{#POI}{POI(s,r1)} = \href{#cd_m}{cd\_m(s,r1)} *\sum_{g2 \; \text{in} \; \href{#goods_m}{goods\_m}} { \left(\href{#delta_m}{delta\_m(r1,s,g2)}*\href{#PRY}{PRY(g2,r1)}\right) } +\frac{{({(1-\href{#cd_m}{cd\_m(s,r1)})} *ln{ \left( \sum_{g2 \; \text{in} \; \href{#goods_m}{goods\_m}} { \left(\href{#delta_m}{delta\_m(r1,s,g2)} *exp{ \left(\href{#PRY}{PRY(g2,r1)}\right) } ^{(1-\href{#sigma_m}{sigma\_m(s,r1)})}\right) }\right) })}}{{(1 -\href{#sigma_m}{sigma\_m(s,r1)}*{(1-\href{#cd_m}{cd\_m(s,r1)})})}} \]

Equation 139: TAXE
For r1 in regions (2 total):

\[ \href{#TAXE}{TAXE(r1)} = \href{#RVGS}{RVGS(r1)} \]

Equation 140: TAXC
For r1 in regions (2 total):

\[ \href{#TAXC}{TAXC(r1)} = \href{#TCOR}{TCOR(r1)} *{(\sum_{s \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(\href{#PRF}{PRF(s,r1)}\right) } +\href{#PRFY}{PRFY(r1)})} +\frac{{(\sum_{g \; \text{in} \; \href{#goods}{goods}} { \left(\href{#TAX}{TAX(g,r1)} *exp{ \left(\href{#PRD}{PRD(g,r1)}\right) } *\href{#OUG}{OUG(g,r1)}\right) } +\sum_{g3 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(\href{#TAX}{TAX(g3,r1)} *exp{ \left(\href{#PMR}{PMR(g3,r1)}\right) } *\href{#IMQ}{IMQ(g3,r1)}\right) } -\sum_{s \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(\href{#TITC}{TITC(s,r1)} *exp{ \left(\href{#PRII}{PRII(r1)}\right) } *\href{#INV}{INV(s,r1)}\right) } -\sum_{g3 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(\href{#TAX}{TAX(g3,r1)} *exp{ \left(\href{#PRS}{PRS(g3,r1)}\right) } *\href{#EXQ}{EXQ(g3,r1)}\right) })}}{exp{ \left(\href{#PRID}{PRID(r1)}\right) }} \]

G-Cubed model_2R_179