G-Cubed model_6N

Name	Elements	Description
abroad	USA, JPN, EUW, AUS, KOR, CAN, NZL, CHN, IND, IDN, PHL, VNM, THA, MYS, ROA, LAM, AFR, MEN, ROW	used in asset calculations
currency	USA, JPN, EUW, AUS, KOR, CAN, NZL, CHN, IND, IDN, PHL, VNM, THA, MYS, ROA, LAM, AFR, MEN, ROW	currency of assets
dest	USA, JPN, EUW, AUS, KOR, CAN, NZL, CHN, IND, IDN, PHL, VNM, THA, MYS, ROA, LAM, AFR, MEN, ROW	alias for regions
domfor	D, F	domestic vs foreign
factors	K, L, E, M	top tier factors of production
good_durable_manufacturing	g04	durable manufacturing goods
good_nondurable_manufacturing	g05	non-durable manufacturing goods
good_other_agriculture	g03	agriculture, fishing and hunting goods
good_other_mining	g02	mining goods
good_services	g06	services
goods	g01, g02, g03, g04, g05, g06	ordinary products
goods_e	g01	energy goods
goods_m	g02, g03, g04, g05, g06	material goods
goods_mc	g02, g03, g05, g06	Material goods less durable manufacturing - those material goods consumed directly
goods_o	g01, g02, g03, g04, g05, g06	ordinary goods - those with standard treatment
goods_oc	g01, g02, g03, g05, g06	Ordinary goods less durable manufacturing - those ordinary goods consumed directly
notROW	USA, JPN, EUW, AUS, KOR, CAN, NZL, CHN, IND, IDN, PHL, VNM, THA, MYS, ROA, LAM, AFR, MEN	used in CURR equation
notUSA	JPN, EUW, AUS, KOR, CAN, NZL, CHN, IND, IDN, PHL, VNM, THA, MYS, ROA, LAM, AFR, MEN, ROW	used with REXC equation
oecd	USA, JPN, EUW, AUS, KOR, CAN, NZL	OECD countries
orig	USA, JPN, EUW, AUS, KOR, CAN, NZL, CHN, IND, IDN, PHL, VNM, THA, MYS, ROA, LAM, AFR, MEN, ROW	alias for regions
owner	USA, JPN, EUW, AUS, KOR, CAN, NZL, CHN, IND, IDN, PHL, VNM, THA, MYS, ROA, LAM, AFR, MEN, ROW	owner of assets ASSE
region_AFR	AFR	Rest of Africa
region_AUS	AUS	Australia
region_CAN	CAN	Canada
region_CHN	CHN	China
region_EUW	EUW	Western Europe
region_IDN	IDN	Indonesia
region_IND	IND	India
region_JPN	JPN	Japan
region_KOR	KOR	South Korea
region_LAM	LAM	Latin America
region_MEN	MEN	Middle East and North Africa
region_MYS	MYS	Malaysia
region_NZL	NZL	New Zealand
region_PHL	PHL	Philippines
region_ROA	ROA	Rest of Asia
region_ROW	ROW	Rest of World
region_THA	THA	Thailand
region_USA	USA	United States
region_VNM	VNM	Vietnam
regions	USA, JPN, EUW, AUS, KOR, CAN, NZL, CHN, IND, IDN, PHL, VNM, THA, MYS, ROA, LAM, AFR, MEN, ROW	countries and regions
sec_std	a01, a02, a03, a04, a05, a06	sectors with standard treatment
sector_durable_manufacturing	a04	durable manufacturing sector
sector_nondurable_manufacturing	a05	non-durable manufacturing sector
sector_other_agriculture	a03	agriculture, fishing and hunting sector
sector_other_mining	a02	mining sector
sector_services	a06	services sector
sector_YY	YY	industrial capital sector
sector_ZZ	ZZ	household capital sector
sectors	a01, a02, a03, a04, a05, a06	sectors other than the capital-production sectors Y - for firms, and Z - for households
sectors_e	a01	energy sector
sectors_m	a02, a03, a04, a05, a06	material sectors
sectors_o	a01, a02, a03, a04, a05, a06	non electricity generation sectors
sectors_os	a01, a02, a03, a04, a05, a06	Non electricity generation or distribution sectors
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	103	104
ASSE	currency, owner	assets in each currency, including own	sta,usgdp	104	104, 105, 71, 72
ASSU	regions	assets held by region, in US$	end,gdp	105	91
BCT	goods_o, dest, orig	unit border tax adjustment	dollar,exo	none	26, 7
BOND	regions	bonds	gdp,sta	124	124, 125, 127, 128, 69, 91
CAP	sec_std, regions	capital stock	gdp,sta	39	33, 39, 42, 43, 48, 61
CAPY	regions	raw invt capital stock	gdp,sta	40	34, 40, 44, 46, 49, 91
CAPZ	regions	household capital stock	gdp,sta	41	35, 41, 45, 47, 50, 91
CNPE	regions	household demand for energy	end,gdp	74	130, 59
CNPK	regions	household capital services	end,gdp	76	none
CNPL	regions	household demand for labor	end,gdp	73	123, 23, 59, 69, 92
CNPO	regions	household demand for material	end,gdp	75	131, 59
CON	goods_oc, regions	household demand for goods	end,gdp	130, 131	2, 3
CONP	regions	national accounts consumption	end,gdp	70	111, 112, 35, 59, 73, 74, 75, 76, 85, 86
CURN	regions	domestic currency current account using nominal interest payments	end,gdp	89	94, 95
CURR	regions	USD current account using real interest payments	end,gdp	90	103, 104, 93
DEFI	regions	fiscal deficit (real interest rates)	end,gdp	127	124, 128, 93
DEFN	regions	fiscal deficit (nominal interest rates)	end,gdp	128	94
DEFX	regions	fiscal deficit shocks (real interest rates)	exo,gdp	none	none
EN	sec_std, goods_e, regions	sector demand for energy goods	end,gdp	132	2
ENT	sec_std, regions	sector demand for energy	end,gdp	16	132, 57
EPRC	regions	expected consumer price inflation rate	end,intertemporal_constant,pct	107	113
EXCH	regions	exch rate as US$ per unit of region currency	idx,logged,stl	1, 98	101, 113, 6, 99
EXCL	regions	exch rate as US$ per unit of region currency - lagged	idx,lagged,logged,sta	99	113
EXCR	regions	country risk premium relative to US	exo,pct	none	100
EXCX	regions	exchange rate target percentage change	exo,pct	none	113
EXQ	goods_o, regions	exports, EXP.xx	end,gdp	11	10, 122, 139, 2, 3, 4
EXQT	regions	value of exports at source	end,gdp	10	96
EYGR	regions	expected output growth	end,intertemporal_constant,pct	106	113
GCE	goods_o, regions	government purchases of goods and services	end,gdp	115, 116	117, 2, 3, 4
GCET	regions	national accounts government spending excluding labor	end,gdp	117	111, 112, 118, 85, 86
GDPN	regions	GDP, nominal	end,gdp	85	113, 87
GDPR	regions	GDP, real	end,gdp	86	87, 88
GNEN	regions	GNE, nominal	end,gdp	111	113
GNER	regions	GNE, real	end,gdp	112	none
GNPR	regions	gross national product	end,gdp	88	none
GOVL	regions	labor used by government	exo,gdp	none	118, 123, 23, 69, 92
GOVS	regions	government spending excluding labor	exo,gdp	none	115, 116
GOVT	regions	national accounts government spending including labor	end,gdp	118	127
IIN	goods_o, regions	raw capital sector demand for goods	end,gdp	21, 22	2, 3, 4
IITE	regions	raw capital sector demand for energy	end,gdp	19	21, 58
IITL	regions	raw capital sector demand for labor	end,gdp	18	123, 23, 58, 69, 92
IITO	regions	raw capital sector demand for material	end,gdp	20	22, 58
IMP	goods_o, dest, orig	individual imports, IMP.xy	end,exclude_dest_equals_orig,gdp	7	11, 120, 8
IMPX	goods_o, dest, orig	individual imports shift	exo,gdp	none	7
IMQ	goods_o, regions	DF imports by good, IMQ.xx	end,gdp	5	139, 7, 8, 9
IMQT	regions	value of imports at destination	end,gdp	9	96
INAS	regions	nominal USD net interest payments on foreign assets	end,gdp	72	89
INCM	regions	after tax household income	end,gdp	69	70
INFCL	regions	household materials inflation rate	end,pct	110	113
INFL	regions	consumer price inflation	end,pct	108	113
INFP	regions	output price inflation	end,pct	82	113
INFX	regions	inflation target	exo,pct	none	113
INS	regions, goods_o	shocks to aggregate investment demand	exo,gdp	none	111, 112, 2, 3, 4, 85, 86
INTF	regions	risk free interest rate, short-run, real	end,pct	80	81
INTL	regions	interest rate, short-run, nominal (lagged)	pct,sta	114	113
INTN	regions	interest rate, short (policy), nominal	pct,stl	113	114, 128, 72, 79, 80
INTR	regions	risk adjusted interest rate, short-run, real	end,pct	81	100, 125, 127, 128, 48, 49, 50, 69, 71, 92
INV	sec_std, regions	raw investment	end,gdp	42	139, 43, 57, 63
INVP	regions	total investment by standard sectors	end,gdp	63	64
INVT	regions	total investment including by households	end,gdp	64	111, 112, 18, 19, 20, 34, 58, 85, 86, 93, 94, 95
INVY	regions	raw investment	end,gdp	44	58, 64
INVZ	regions	household investment	end,gdp	45	123, 59, 64
IRAS	regions	real USD net interest payments on foreign assets	end,gdp	71	69, 88, 90
JNV	sec_std, regions	installed investment	end,gdp	43	39, 48
JNVY	regions	installed investment in the raw capital sector	end,gdp	46	40, 44, 49
JNVZ	regions	installed household investment	end,gdp	47	41, 45, 50
LAB	sec_std, regions	sector demand for labor	end,gdp	15	123, 23, 57, 69, 92
LABO	regions	labor demand	end,gdp	23	36
LABX	regions	labor supply	exo,gdp	none	36
LAM	sec_std, regions	marginal value of a unit of capital	cos,intertemporal_constant,pct	48	48, 51, 61
LAMY	regions	marginal value of a unit of capital in the raw capital sector	cos,pct	49	49, 52, 91
LAMZ	regions	marginal value of a unit of household capital	cos,pct	50	50, 53, 91
LGDPN	regions	GDP, nominal	exo,nomusdbillion	none	none
LGDPR	regions	GDP, real	exo,realusdbillion	none	none
MONE	regions	money demand	end,idx,logged	79	91
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	101	none
OI	sec_std, goods_m, regions	sector demand for material goods	end,gdp	133	3, 4
OIN	sec_std, regions	sector demand for materials	end,gdp	17	133, 57
OUG	goods, regions	domestic supply of goods	end,gdp	13	139, 14, 67
OUP	sectors, regions	domestic production	end,gdp	14	15, 16, 17, 33, 57
OUTL	regions	aggregate output (lagged)	gdp,lagged,sta	68	113
OUTP	regions	aggregate output	ets,gdp	67	106, 113, 119, 68, 79
OUTX	regions	shock to output target	exo,pct	none	none
OUY	goods, regions	composite supply	end,gdp	2, 3, 4	13, 5
PBAG	regions	USD value of permits sold through government	exo,gdp	none	124
PBAL	regions	value of permits sold, USD	exo,gdp	none	88, 89, 90
PGDP	regions	GDP implicit price deflator	end,idx,logged	87	none
PIM	goods_o, dest, orig	landed price of imports	end,idx,logged	6	120, 26, 7, 8
PMQ	goods_o, regions	import landed price index	end,idx,logged	8	27, 9
PMR	goods_o, regions	price of imports incl tariffs	end,idx,logged	26	139, 24, 5, 7
POI	sec_std, regions	sector price of materials	end,idx,logged	135	133, 17, 31, 57
PRCE	regions	household price of energy	end,idx,logged	136	130, 59, 74, 77
PRCL	regions	aggregate price of consumer goods lagged	idx,lagged,logged,sta	83	108, 36
PRCO	regions	household price of material	end,idx,logged	137	109, 110, 131, 59, 75, 77
PRCOL	regions	household price of material - lagged	idx,lagged,logged,sta	109	110
PRCT	regions	aggregate price of consumer goods	ets,idx,logged	77	107, 108, 111, 113, 35, 36, 59, 70, 73, 74, 75, 76, 83, 85
PRD	goods, regions	post-tax price of goods	end,idx,logged	30	13, 139, 24, 65, 67
PRDL	regions	weighted price of domestic output lag	idx,lagged,logged,sta	84	82
PRDX	regions	shock to weighted price of domestic output	exo,pct	none	none
PRE	sec_std, regions	sector price of energy	end,idx,logged	134	132, 16, 31, 57
PRF	sec_std, regions	short run profits	end,gdp	57	139, 60
PRFT	regions	total economywide profits	end,gdp	60	69
PRFY	regions	profits on raw capital sector	end,gdp	58	139, 60
PRFZ	regions	imputed short run profits on household capital	end,gdp	59	69
PRGT	regions	aggregate price of government goods	end,idx,logged	78	115, 116, 117, 85
PRID	regions	weighted price of domestic output	ets,idx,logged	65	111, 113, 118, 120, 122, 123, 139, 48, 49, 50, 51, 52, 53, 57, 58, 59, 67, 69, 70, 79, 80, 82, 84, 85, 91, 92, 93, 94, 95, 98
PRIE	regions	raw capital sector price of energy	end,idx,logged	28	19, 21, 32, 58
PRII	regions	price paid by producers for raw capital	end,idx,logged	32	111, 123, 139, 18, 19, 20, 34, 48, 49, 50, 51, 52, 53, 57, 58, 59, 85, 93, 94, 95
PRIM	regions	weighted price of imports	end,idx,logged	27	9
PRIX	regions	weighted price of exports	end,idx,logged	66	10
PRK	sec_std, regions	implicit rental price	end,idx,logged	33	31, 48
PRKY	regions	implicit raw capital sector rental price	end,idx,logged	34	32, 49
PRKZ	regions	implicit household rental price	end,idx,logged	35	50, 76, 77
PROI	regions	raw capital sector price of material	end,idx,logged	29	20, 22, 32, 58
PRP	sectors, regions	pre-tax producer price	end,idx,logged	31	15, 16, 17, 30, 33, 57
PRS	goods, regions	producer price of composite	end,idx,logged	24	12, 122, 129, 13, 139, 25, 5
PRT	sec_std, goods_e, regions	sector-specific input price	end,idx,logged	129	132, 134
PRX	goods_o, regions	price of exports at source	end,idx,logged	12	10, 6, 66
PRXX	regions	shock to expected price of consumer goods	exo,pct	none	36
PRY	goods, regions	purchase price of composite	end,idx,logged	25	115, 116, 117, 130, 131, 133, 135, 136, 137, 21, 22, 28, 29, 78
PTAR	regions	price level target	exo,idx,logged	none	113
RB10	regions	interest rate, 10-year, real	end,pct	none	none
REER	regions	trade-weighted real exch rate, FC/domestic	end,idx,logged	102	none
REXB	region_CHN	real exchange rate without capital controls imposed	idx,logged,stl	141	142
REXC	regions	real exchange rate as US$ per unit of region currency	cos,idx,intertemporal_constant,logged	100	100, 140, 141
REXL	region_CHN	real exchange rate without capital controls imposed - lagged	idx,lagged,logged,sta	142	none
REXN	regions	real exchange rate with capital controls	end,idx,logged	140	102, 104, 105, 69, 71, 72, 88, 89, 91, 93, 97, 98
RISE	sec_std, regions	equity risk premium by sector and region	del,exo	none	48
RISH	regions	risk premium shock for human wealth	del,exo	none	92
RISR	regions	risk premium in the yield curve	del,exo	none	81
RISW	regions	risk premium for human wealth	del,exo	none	70, 92
RISY	regions	risk premium for raw-capital sector capital	del,exo	none	49
RISZ	regions	risk premium for household capital	del,exo	none	50
ROGY	regions	potential output growth target	exo,pct	none	113
RVGS	regions	revenue from unit taxes	exo,gdp	none	138
SAVI	regions	real domestic saving using real interest rates	end,gdp	93	none
SAVN	regions	real domestic saving using nominal interest rates	end,gdp	94	none
SAVT	regions	domestic non-government saving using nominal interest rates	end,gdp	95	none
SHEF	sec_std, regions	autonomous energy efficiency improvements	exo,pct	none	16, 31
SHEFC	regions	consumption autonomous energy efficiency improvements	exo,pct	none	74, 77
SHK	sec_std, regions	shock to capital efficiency	exo,pct	none	31, 33
SHKC	regions	shock to aggregate consumption	exo,gdp	none	70
SHKI	regions, sec_std	shock to inv equation	exo,gdp	none	42
SHKM	regions	shock to money demand	exo,pct	none	79
SHL	regions, sec_std	shock to labor due to labor-augmenting technical change and/or population growth	exo,pct	none	15, 31
SHLY	regions	shock to raw capital sector labor due to labor-augmenting technical change and/or population growth	exo,pct	none	18, 32
SHLZ	regions	shock to household capital sector labor due to labor-augmenting technical change and/or population growth	exo,pct	none	73, 77
SHY	sectors, regions	shock to total factor productivity	exo,pct	none	15, 16, 17, 31, 33
SHYY	regions	shock to raw capital sector total factor productivity	exo,pct	none	18, 19, 20, 32, 34
SHYZ	regions	shock to household capital sector total factor productivity	exo,pct	none	35, 73, 74, 75, 76, 77
STM	sec_std, regions	stock market value	end,gdp	61	62, 91
STMT	regions	total stock market value	end,gdp	62	none
TAX	goods, regions	sales tax on composite	exo,pct	none	129, 139, 25
TAXC	regions	revenue from sales and company taxes	end,gdp	139	126
TAXE	regions	revenue from externality taxes	end,gdp	138	126
TAXH	regions	revenue from taxes on wages	end,gdp	123	126, 92
TAXL	regions	revenue from lump-sum taxes	end,gdp	125	126, 69, 92
TAXM	regions	tariff revenue	end,gdp	121	126
TAXS	regions	exogenous lump sum tax	exo,gdp	none	125
TAXT	regions	total revenue	end,gdp	126	127
TAXX	regions	external tax revenue	end,gdp	122	126
TBAL	regions	trade surplus, domestic currency	end,gdp	96	113, 85, 86, 89, 97
TBAU	regions	trade surplus, USD	end,gdp	97	90
TCOR	regions	tax rate on corporate profits	exo,pct	none	139, 48, 49, 69
TEX	goods, regions	extern tax on composite	exo,pct	none	12, 122
TIF	goods_o, dest	fta tariff rates	exo,pct	none	120, 26, 7
TIM	goods_o, dest, orig	multilateral tariff rates	exo,pct	none	120, 26, 7
TINC	regions	tax rate on labor income	exo,pct	none	123, 69
TITC	sec_std, regions	investment tax credit rate	exo,pct	none	139, 48, 51, 57, 61
TITCH	regions	households investment tax credit rate	exo,pct	none	123, 50, 53, 59
TIX	goods_o, dest	multilateral iceberg costs	exo,pct	none	26, 7
TOB	sec_std, regions	marginal q, TOB.NC	end,pct	51	42, 54
TOBY	regions	marginal Q, raw capital sector	end,pct	52	46, 55
TOBZ	regions	marginal Q, households	end,pct	53	47, 56
TPA	sec_std, regions	partial adjustment q	pct,sta	54	42, 54
TPAY	regions	partial adjustment Q, raw capital sector	pct,sta	55	46, 55
TPAZ	regions	partial adjustment Q, households	pct,sta	56	47, 56
TRAN	regions	total transfers	end,gdp	119	127, 69, 92
TRANX	regions	exogenous transfers	exo,gdp	none	119
TXGS	sec_std, goods_e, regions	unit tax on goods to sectors	dollar,exo	none	129
TXM	goods_o, dest	tariff revenue by good	end,gdp	120	121
WAG	sec_std, regions	sector wage	end,idx,logged	38	123, 15, 31, 57, 69, 92
WAGE	regions	wage rate	idx,intertemporal_constant,logged,sta	36	113, 123, 18, 32, 36, 37, 38, 58, 59, 69, 73, 77, 92
WAGG	regions	government wage	end,idx,logged	37	118, 123, 69, 92
WELH	regions	human wealth	cos,gdp,intertemporal_constant	92	91, 92
WELT	regions	total wealth	end,gdp	91	70
YRATN	regions	GDP ratio, nominal	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
alph_rex	regions	weight on shadow real exchange rate in CA intervention
ashr	currency, owner	asset split among currencies
base_jk	sec_std, regions	base J/K
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 g6 in goods_e, r19 in regions (19 total):

\[ \href{#OUY}{OUY(g6,r19)} = \href{#CON}{CON(g6,r19)}+\href{#IIN}{IIN(g6,r19)} +\href{#INS}{INS(r19,g6)} +\href{#GCE}{GCE(g6,r19)} +\href{#EXQ}{EXQ(g6,r19)} +\sum_{s \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(\href{#EN}{EN(s,g6,r19)}\right) } \]

Equation 3: OUY
For g8 in goods_mc, r19 in regions (76 total):

\[ \href{#OUY}{OUY(g8,r19)} = \href{#CON}{CON(g8,r19)}+\href{#IIN}{IIN(g8,r19)} +\href{#INS}{INS(r19,g8)} +\href{#GCE}{GCE(g8,r19)} +\href{#EXQ}{EXQ(g8,r19)} +\sum_{s \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(\href{#OI}{OI(s,g8,r19)}\right) } \]

Equation 4: OUY
For g in good_durable_manufacturing, r19 in regions (19 total):

\[ \href{#OUY}{OUY(g,r19)} = \href{#IIN}{IIN(g,r19)}+\href{#INS}{INS(r19,g)} +\href{#GCE}{GCE(g,r19)} +\href{#EXQ}{EXQ(g,r19)} +\sum_{s \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(\href{#OI}{OI(s,g,r19)}\right) } \]

Equation 5: IMQ
For g9 in goods_o, r19 in regions (114 total):

\[ \href{#IMQ}{IMQ(g9,r19)} = {(1-\href{#delta_dom}{delta\_dom(g9,r19)})} *\href{#OUY}{OUY(g9,r19)} *exp{ \left( \href{#PRS}{PRS(g9,r19)}-\href{#PMR}{PMR(g9,r19)}\right) } ^\href{#sigma_df}{sigma\_df(g9,r19)} \]

Equation 6: PIM
For d in dest, g9 in goods_o, o1 in orig (2166 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 (2166 total):

\[ \href{#IMP}{IMP(g9,d,o1)} = \href{#delta_ff}{delta\_ff(g9,d,o1)}*\href{#IMQ}{IMQ(g9,d)} *{(\href{#BCT}{BCT(g9,d,o1)} +{(1 +{(\href{#TIM}{TIM(g9,d,o1)}+\href{#TIX}{TIX(g9,d)})} *\href{#MUL}{MUL(d,o1)} +\href{#TIF}{TIF(g9,d)}*\href{#FTA}{FTA(d,o1)})} *exp{ \left( \href{#PIM}{PIM(g9,d,o1)}-\href{#PMR}{PMR(g9,d)}\right) })} ^{(-\href{#sigma_ff}{sigma\_ff(g9,d)})} +\href{#IMPX}{IMPX(g9,d,o1)} \]

Equation 8: PMQ
For d in dest, g9 in goods_o (114 total):

\[ \href{#PMQ}{PMQ(g9,d)} = ln{ \left( \frac{\sum_{o1 \; \text{in} \; \href{#orig}{orig}} { \left(\href{#IMP}{IMP(g9,d,o1)} *exp{ \left(\href{#PIM}{PIM(g9,d,o1)}\right) }\right) }}{\href{#IMQ}{IMQ(g9,d)}}\right) } \]

Equation 9: IMQT
For r19 in regions (19 total):

\[ \href{#IMQT}{IMQT(r19)} = \frac{\sum_{g9 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(exp{ \left(\href{#PMQ}{PMQ(g9,r19)}\right) } *\href{#IMQ}{IMQ(g9,r19)}\right) }}{exp{ \left(\href{#PRIM}{PRIM(r19)}\right) }} \]

Equation 10: EXQT
For r19 in regions (19 total):

\[ \href{#EXQT}{EXQT(r19)} = \frac{\sum_{g9 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(exp{ \left(\href{#PRX}{PRX(g9,r19)}\right) } *\href{#EXQ}{EXQ(g9,r19)}\right) }}{exp{ \left(\href{#PRIX}{PRIX(r19)}\right) }} \]

Equation 11: EXQ
For g9 in goods_o, o1 in orig (114 total):

\[ \href{#EXQ}{EXQ(g9,o1)} = \sum_{d \; \text{in} \; \href{#dest}{dest}} { \left(\href{#IMP}{IMP(g9,d,o1)}\right) } \]

Equation 12: PRX
For g9 in goods_o, r19 in regions (114 total):

\[ \href{#PRX}{PRX(g9,r19)} = ln{ \left( {(1+\href{#TEX}{TEX(g9,r19)})} *exp{ \left(\href{#PRS}{PRS(g9,r19)}\right) }\right) } \]

Equation 13: OUG
For g9 in goods_o, r19 in regions (114 total):

\[ \href{#OUG}{OUG(g9,r19)} = \href{#delta_dom}{delta\_dom(g9,r19)}*\href{#OUY}{OUY(g9,r19)} *exp{ \left( \href{#PRS}{PRS(g9,r19)}-\href{#PRD}{PRD(g9,r19)}\right) } ^\href{#sigma_df}{sigma\_df(g9,r19)} \]

Equation 14: OUP
For r19 in regions, s8 in sectors (114 total):

\[ \href{#OUP}{OUP(s8,r19)} = \sum_{g5 \; \text{in} \; \href{#goods}{goods}} { \left(\href{#makeinv}{makeinv(g5,s8,r19)}*\href{#OUG}{OUG(g5,r19)}\right) } \]

Equation 15: LAB
For r19 in regions, s in sec_std (114 total):

\[ \href{#LAB}{LAB(s,r19)} = exp{ \left( \href{#SHL}{SHL(r19,s)}+\href{#SHY}{SHY(s,r19)}\right) } ^{(\href{#sigma_o}{sigma\_o(s,r19)}-1)} *\href{#delta_o}{delta\_o(\text{l},s,r19)} *\href{#OUP}{OUP(s,r19)} *exp{ \left( \href{#PRP}{PRP(s,r19)}-\href{#WAG}{WAG(s,r19)}\right) } ^\href{#sigma_o}{sigma\_o(s,r19)} \]

Equation 16: ENT
For r19 in regions, s in sec_std (114 total):

\[ \href{#ENT}{ENT(s,r19)} = exp{ \left( \href{#SHEF}{SHEF(s,r19)}+\href{#SHY}{SHY(s,r19)}\right) } ^{(\href{#sigma_o}{sigma\_o(s,r19)}-1)} *\href{#delta_o}{delta\_o(\text{e},s,r19)} *\href{#OUP}{OUP(s,r19)} *exp{ \left( \href{#PRP}{PRP(s,r19)}-\href{#PRE}{PRE(s,r19)}\right) } ^\href{#sigma_o}{sigma\_o(s,r19)} \]

Equation 17: OIN
For r19 in regions, s in sec_std (114 total):

\[ \href{#OIN}{OIN(s,r19)} = exp{ \left(\href{#SHY}{SHY(s,r19)}\right) } ^{(\href{#sigma_o}{sigma\_o(s,r19)}-1)} *\href{#delta_o}{delta\_o(\text{m},s,r19)} *\href{#OUP}{OUP(s,r19)} *exp{ \left( \href{#PRP}{PRP(s,r19)}-\href{#POI}{POI(s,r19)}\right) } ^\href{#sigma_o}{sigma\_o(s,r19)} \]

Equation 18: IITL
For r19 in regions (19 total):

\[ \href{#IITL}{IITL(r19)} = exp{ \left( \href{#SHLY}{SHLY(r19)}+\href{#SHYY}{SHYY(r19)}\right) } ^{(\href{#sigma_oR}{sigma\_oR(r19)}-1)} *\href{#delta_oR}{delta\_oR(\text{l},r19)} *\href{#INVT}{INVT(r19)} *exp{ \left( \href{#PRII}{PRII(r19)}-\href{#WAGE}{WAGE(r19)}\right) } ^\href{#sigma_oR}{sigma\_oR(r19)} \]

Equation 19: IITE
For r19 in regions (19 total):

\[ \href{#IITE}{IITE(r19)} = exp{ \left(\href{#SHYY}{SHYY(r19)}\right) } ^{(\href{#sigma_oR}{sigma\_oR(r19)}-1)} *\href{#delta_oR}{delta\_oR(\text{e},r19)} *\href{#INVT}{INVT(r19)} *exp{ \left( \href{#PRII}{PRII(r19)}-\href{#PRIE}{PRIE(r19)}\right) } ^\href{#sigma_oR}{sigma\_oR(r19)} \]

Equation 20: IITO
For r19 in regions (19 total):

\[ \href{#IITO}{IITO(r19)} = exp{ \left(\href{#SHYY}{SHYY(r19)}\right) } ^{(\href{#sigma_oR}{sigma\_oR(r19)}-1)} *\href{#delta_oR}{delta\_oR(\text{m},r19)} *\href{#INVT}{INVT(r19)} *exp{ \left( \href{#PRII}{PRII(r19)}-\href{#PROI}{PROI(r19)}\right) } ^\href{#sigma_oR}{sigma\_oR(r19)} \]

Equation 21: IIN
For g6 in goods_e, r19 in regions (19 total):

\[ \href{#IIN}{IIN(g6,r19)} = \href{#delta_eR}{delta\_eR(g6,r19)}*\href{#IITE}{IITE(r19)} *exp{ \left( \href{#PRIE}{PRIE(r19)}-\href{#PRY}{PRY(g6,r19)}\right) } ^\href{#sigma_eR}{sigma\_eR(r19)} \]

Equation 22: IIN
For g7 in goods_m, r19 in regions (95 total):

\[ \href{#IIN}{IIN(g7,r19)} = \href{#delta_mR}{delta\_mR(g7,r19)}*\href{#IITO}{IITO(r19)} *exp{ \left( \href{#PROI}{PROI(r19)}-\href{#PRY}{PRY(g7,r19)}\right) } ^\href{#sigma_mR}{sigma\_mR(r19)} \]

Equation 23: LABO
For r19 in regions (19 total):

\[ \href{#LABO}{LABO(r19)} = \href{#IITL}{IITL(r19)}+\href{#CNPL}{CNPL(r19)} +\href{#GOVL}{GOVL(r19)} +\sum_{s \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(\href{#LAB}{LAB(s,r19)}\right) } \]

Equation 24: PRS
For g9 in goods_o, r19 in regions (114 total):

\[ \href{#PRS}{PRS(g9,r19)} = \href{#cd_df}{cd\_df(g9,r19)} *{(\href{#delta_dom}{delta\_dom(g9,r19)}*\href{#PRD}{PRD(g9,r19)} +{(1-\href{#delta_dom}{delta\_dom(g9,r19)})} *\href{#PMR}{PMR(g9,r19)})} +\frac{{({(1-\href{#cd_df}{cd\_df(g9,r19)})} *ln{ \left( \href{#delta_dom}{delta\_dom(g9,r19)} *exp{ \left(\href{#PRD}{PRD(g9,r19)}\right) } ^{(1-\href{#sigma_df}{sigma\_df(g9,r19)})} +{(1-\href{#delta_dom}{delta\_dom(g9,r19)})} *exp{ \left(\href{#PMR}{PMR(g9,r19)}\right) } ^{(1-\href{#sigma_df}{sigma\_df(g9,r19)})}\right) })}}{{(1 -\href{#sigma_df}{sigma\_df(g9,r19)}*{(1-\href{#cd_df}{cd\_df(g9,r19)})})}} \]

Equation 25: PRY
For g5 in goods, r19 in regions (114 total):

\[ \href{#PRY}{PRY(g5,r19)} = ln{ \left(1+\href{#TAX}{TAX(g5,r19)}\right) } +\href{#PRS}{PRS(g5,r19)} \]

Equation 26: PMR
For d in dest, g9 in goods_o (114 total):

\[ \href{#PMR}{PMR(g9,d)} = 0.0 +\href{#cd_ff}{cd\_ff(g9,d)} *\sum_{o1 \; \text{in} \; \href{#orig}{orig}} { \left(\href{#delta_ff}{delta\_ff(g9,d,o1)} *ln{ \left( \href{#BCT}{BCT(g9,d,o1)} +{(1 +{(\href{#TIM}{TIM(g9,d,o1)}+\href{#TIX}{TIX(g9,d)})} *\href{#MUL}{MUL(d,o1)} +\href{#TIF}{TIF(g9,d)}*\href{#FTA}{FTA(d,o1)})} *exp{ \left(\href{#PIM}{PIM(g9,d,o1)}\right) }\right) }\right) } +\frac{{({(1-\href{#cd_ff}{cd\_ff(g9,d)})} *ln{ \left( \sum_{o1 \; \text{in} \; \href{#orig}{orig}} { \left(\href{#delta_ff}{delta\_ff(g9,d,o1)} *{(\href{#BCT}{BCT(g9,d,o1)} +{(1 +{(\href{#TIM}{TIM(g9,d,o1)}+\href{#TIX}{TIX(g9,d)})} *\href{#MUL}{MUL(d,o1)} +\href{#TIF}{TIF(g9,d)}*\href{#FTA}{FTA(d,o1)})} *exp{ \left(\href{#PIM}{PIM(g9,d,o1)}\right) })} ^{(1-\href{#sigma_ff}{sigma\_ff(g9,d)})}\right) }\right) })}}{{(1 -\href{#sigma_ff}{sigma\_ff(g9,d)}*{(1-\href{#cd_ff}{cd\_ff(g9,d)})})}} \]

Equation 27: PRIM
For r19 in regions (19 total):

\[ \href{#PRIM}{PRIM(r19)} = \sum_{g9 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(\href{#prim_weight}{prim\_weight(g9,r19)} *\href{#PMQ}{PMQ(g9,r19)}\right) } \]

Equation 28: PRIE
For r19 in regions (19 total):

\[ \href{#PRIE}{PRIE(r19)} = \href{#cd_eR}{cd\_eR(r19)} *\sum_{g6 \; \text{in} \; \href{#goods_e}{goods\_e}} { \left(\href{#delta_eR}{delta\_eR(g6,r19)}*\href{#PRY}{PRY(g6,r19)}\right) } +\frac{{({(1-\href{#cd_eR}{cd\_eR(r19)})} *ln{ \left( \sum_{g6 \; \text{in} \; \href{#goods_e}{goods\_e}} { \left(\href{#delta_eR}{delta\_eR(g6,r19)} *exp{ \left(\href{#PRY}{PRY(g6,r19)}\right) } ^{(1-\href{#sigma_eR}{sigma\_eR(r19)})}\right) }\right) })}}{{(1 -\href{#sigma_eR}{sigma\_eR(r19)}*{(1-\href{#cd_eR}{cd\_eR(r19)})})}} \]

Equation 29: PROI
For r19 in regions (19 total):

\[ \href{#PROI}{PROI(r19)} = \href{#cd_mR}{cd\_mR(r19)} *\sum_{g7 \; \text{in} \; \href{#goods_m}{goods\_m}} { \left(\href{#delta_mR}{delta\_mR(g7,r19)}*\href{#PRY}{PRY(g7,r19)}\right) } +\frac{{({(1-\href{#cd_mR}{cd\_mR(r19)})} *ln{ \left( \sum_{g7 \; \text{in} \; \href{#goods_m}{goods\_m}} { \left(\href{#delta_mR}{delta\_mR(g7,r19)} *exp{ \left(\href{#PRY}{PRY(g7,r19)}\right) } ^{(1-\href{#sigma_mR}{sigma\_mR(r19)})}\right) }\right) })}}{{(1 -\href{#sigma_mR}{sigma\_mR(r19)}*{(1-\href{#cd_mR}{cd\_mR(r19)})})}} \]

Equation 30: PRD
For g5 in goods, r19 in regions (114 total):

\[ \href{#PRD}{PRD(g5,r19)} = ln{ \left( exp{ \left( \sum_{s8 \; \text{in} \; \href{#sectors}{sectors}} { \left(\href{#makeinv}{makeinv(g5,s8,r19)}*\href{#PRP}{PRP(s8,r19)}\right) }\right) }\right) } \]

Equation 31: PRP
For r19 in regions, s in sec_std (114 total):

\[ \href{#PRP}{PRP(s,r19)} = \href{#cd_o}{cd\_o(s,r19)} *{(\href{#delta_o}{delta\_o(\text{k},s,r19)} *\href{#PRK}{PRK(s,r19)} +\href{#delta_o}{delta\_o(\text{l},s,r19)} *\href{#WAG}{WAG(s,r19)} +\href{#delta_o}{delta\_o(\text{e},s,r19)} *\href{#PRE}{PRE(s,r19)} +\href{#delta_o}{delta\_o(\text{m},s,r19)} *\href{#POI}{POI(s,r19)} -\href{#delta_o}{delta\_o(\text{l},s,r19)} *\href{#SHL}{SHL(r19,s)} -\href{#delta_o}{delta\_o(\text{k},s,r19)} *\href{#SHK}{SHK(s,r19)} -\href{#delta_o}{delta\_o(\text{e},s,r19)} *\href{#SHEF}{SHEF(s,r19)})} +\frac{{({(1-\href{#cd_o}{cd\_o(s,r19)})} *ln{ \left( \href{#delta_o}{delta\_o(\text{k},s,r19)} *exp{ \left( \href{#PRK}{PRK(s,r19)}-\href{#SHK}{SHK(s,r19)}\right) } ^{(1-\href{#sigma_o}{sigma\_o(s,r19)})} +\href{#delta_o}{delta\_o(\text{l},s,r19)} *exp{ \left( \href{#WAG}{WAG(s,r19)}-\href{#SHL}{SHL(r19,s)}\right) } ^{(1-\href{#sigma_o}{sigma\_o(s,r19)})} +\href{#delta_o}{delta\_o(\text{e},s,r19)} *exp{ \left( \href{#PRE}{PRE(s,r19)}-\href{#SHEF}{SHEF(s,r19)}\right) } ^{(1-\href{#sigma_o}{sigma\_o(s,r19)})} +\href{#delta_o}{delta\_o(\text{m},s,r19)} *exp{ \left(\href{#POI}{POI(s,r19)}\right) } ^{(1-\href{#sigma_o}{sigma\_o(s,r19)})}\right) })}}{{(1 -\href{#sigma_o}{sigma\_o(s,r19)}*{(1-\href{#cd_o}{cd\_o(s,r19)})})}} -\href{#SHY}{SHY(s,r19)} \]

Equation 32: PRII
For r19 in regions (19 total):

\[ \href{#PRII}{PRII(r19)} = \href{#cd_oR}{cd\_oR(r19)} *{(\href{#delta_oR}{delta\_oR(\text{k},r19)} *\href{#PRKY}{PRKY(r19)} +\href{#delta_oR}{delta\_oR(\text{l},r19)} *\href{#WAGE}{WAGE(r19)} +\href{#delta_oR}{delta\_oR(\text{e},r19)} *\href{#PRIE}{PRIE(r19)} +\href{#delta_oR}{delta\_oR(\text{m},r19)} *\href{#PROI}{PROI(r19)} -\href{#delta_oR}{delta\_oR(\text{l},r19)} *\href{#SHLY}{SHLY(r19)})} +\frac{{({(1-\href{#cd_oR}{cd\_oR(r19)})} *ln{ \left( \href{#delta_oR}{delta\_oR(\text{k},r19)} *exp{ \left(\href{#PRKY}{PRKY(r19)}\right) } ^{(1-\href{#sigma_oR}{sigma\_oR(r19)})} +\href{#delta_oR}{delta\_oR(\text{l},r19)} *exp{ \left( \href{#WAGE}{WAGE(r19)}-\href{#SHLY}{SHLY(r19)}\right) } ^{(1-\href{#sigma_oR}{sigma\_oR(r19)})} +\href{#delta_oR}{delta\_oR(\text{e},r19)} *exp{ \left(\href{#PRIE}{PRIE(r19)}\right) } ^{(1-\href{#sigma_oR}{sigma\_oR(r19)})} +\href{#delta_oR}{delta\_oR(\text{m},r19)} *exp{ \left(\href{#PROI}{PROI(r19)}\right) } ^{(1-\href{#sigma_oR}{sigma\_oR(r19)})}\right) })}}{{(1 -\href{#sigma_oR}{sigma\_oR(r19)}*{(1-\href{#cd_oR}{cd\_oR(r19)})})}} -\href{#SHYY}{SHYY(r19)} \]

Equation 33: PRK
For r19 in regions, s in sec_std (114 total):

\[ \href{#PRK}{PRK(s,r19)} = \href{#PRP}{PRP(s,r19)} +\frac{ln{ \left( \frac{{(\href{#delta_o}{delta\_o(\text{k},s,r19)} *\href{#OUP}{OUP(s,r19)})}}{\href{#CAP}{CAP(s,r19)}}\right) }}{\href{#sigma_o}{sigma\_o(s,r19)}} +\frac{{({(\href{#SHY}{SHY(s,r19)}+\href{#SHK}{SHK(s,r19)})} *{(\href{#sigma_o}{sigma\_o(s,r19)}-1)})}}{\href{#sigma_o}{sigma\_o(s,r19)}} \]

Equation 34: PRKY
For r19 in regions (19 total):

\[ \href{#PRKY}{PRKY(r19)} = \href{#PRII}{PRII(r19)} +\frac{ln{ \left( \frac{{(\href{#delta_oR}{delta\_oR(\text{k},r19)} *\href{#INVT}{INVT(r19)})}}{\href{#CAPY}{CAPY(r19)}}\right) }}{\href{#sigma_oR}{sigma\_oR(r19)}} +\frac{{(\href{#SHYY}{SHYY(r19)}*{(\href{#sigma_oR}{sigma\_oR(r19)}-1)})}}{\href{#sigma_oR}{sigma\_oR(r19)}} \]

Equation 35: PRKZ
For r19 in regions (19 total):

\[ \href{#PRKZ}{PRKZ(r19)} = \href{#PRCT}{PRCT(r19)} +\frac{ln{ \left( \frac{{(\href{#delta_oH}{delta\_oH(\text{k},r19)} *\href{#CONP}{CONP(r19)})}}{\href{#CAPZ}{CAPZ(r19)}}\right) }}{\href{#sigma_oH}{sigma\_oH(r19)}} +\frac{{(\href{#SHYZ}{SHYZ(r19)}*{(\href{#sigma_oH}{sigma\_oH(r19)}-1)})}}{\href{#sigma_oH}{sigma\_oH(r19)}} \]

Equation 36: WAGE
For r19 in regions (19 total):

\[ lead({\href{#WAGE}{WAGE(r19)}}) = \href{#WAGE}{WAGE(r19)} +\href{#wage_p}{wage\_p(r19)} *{(lead({\href{#PRCT}{PRCT(r19)}})+\href{#PRXX}{PRXX(r19)} -\href{#PRCT}{PRCT(r19)})} +{(1-\href{#wage_p}{wage\_p(r19)})} *{(\href{#PRCT}{PRCT(r19)}-\href{#PRCL}{PRCL(r19)})} +\href{#wage_q}{wage\_q(r19)} *{(ln{ \left(\href{#LABO}{LABO(r19)}\right) } -ln{ \left(\href{#LABX}{LABX(r19)}\right) })} \]

Equation 37: WAGG
For r19 in regions (19 total):

\[ \href{#WAGG}{WAGG(r19)} = \href{#WAGE}{WAGE(r19)} \]

Equation 38: WAG
For r19 in regions, s in sec_std (114 total):

\[ \href{#WAG}{WAG(s,r19)} = \href{#WAGE}{WAGE(r19)} \]

Equation 39: CAP
For r19 in regions, s in sec_std (114 total):

\[ lead({\href{#CAP}{CAP(s,r19)}}) = \href{#JNV}{JNV(s,r19)} +{(1-\href{#delta}{delta(r19)}-\href{#labgrow}{labgrow(r19)})} *\href{#CAP}{CAP(s,r19)} \]

Equation 40: CAPY
For r19 in regions (19 total):

\[ lead({\href{#CAPY}{CAPY(r19)}}) = \href{#JNVY}{JNVY(r19)} +{(1-\href{#delta}{delta(r19)}-\href{#labgrow}{labgrow(r19)})} *\href{#CAPY}{CAPY(r19)} \]

Equation 41: CAPZ
For r19 in regions (19 total):

\[ lead({\href{#CAPZ}{CAPZ(r19)}}) = \href{#JNVZ}{JNVZ(r19)} +{(1-\href{#delta}{delta(r19)}-\href{#labgrow}{labgrow(r19)})} *\href{#CAPZ}{CAPZ(r19)} \]

Equation 42: INV
For r19 in regions, s in sec_std (114 total):

\[ \href{#INV}{INV(s,r19)} = \frac{{({(1+.5*{(\href{#TOB}{TOB(s,r19)}-1)})}*{(\href{#TOB}{TOB(s,r19)}-1)} *\href{#CAP}{CAP(s,r19)})}}{\href{#phi}{phi(s,r19)}} *\href{#forei}{forei(s,r19)} +\frac{{({(1+.5*{(\href{#TPA}{TPA(s,r19)}-1)})}*{(\href{#TPA}{TPA(s,r19)}-1)} *\href{#CAP}{CAP(s,r19)})}}{\href{#phi}{phi(s,r19)}} *{(1-\href{#forei}{forei(s,r19)})} +\href{#SHKI}{SHKI(r19,s)} \]

Equation 43: JNV
For r19 in regions, s in sec_std (114 total):

\[ \href{#JNV}{JNV(s,r19)} = \frac{{(\href{#INV}{INV(s,r19)} +\frac{\href{#phi}{phi(s,r19)}}{2}*\href{#base_jk}{base\_jk(s,r19)}^2 *\href{#CAP}{CAP(s,r19)})}}{{(1 +\href{#phi}{phi(s,r19)}*\href{#base_jk}{base\_jk(s,r19)})}} \]

Equation 44: INVY
For r19 in regions (19 total):

\[ \href{#INVY}{INVY(r19)} = \href{#JNVY}{JNVY(r19)} *{(1 +\frac{{(\frac{\href{#phi_y}{phi\_y(r19)}}{2}*\href{#JNVY}{JNVY(r19)})}}{\href{#CAPY}{CAPY(r19)}})} \]

Equation 45: INVZ
For r19 in regions (19 total):

\[ \href{#INVZ}{INVZ(r19)} = \href{#JNVZ}{JNVZ(r19)} *{(1 +\frac{{(\frac{\href{#phi_z}{phi\_z(r19)}}{2}*\href{#JNVZ}{JNVZ(r19)})}}{\href{#CAPZ}{CAPZ(r19)}})} \]

Equation 46: JNVY
For r19 in regions (19 total):

\[ \href{#JNVY}{JNVY(r19)} = \frac{{(\href{#CAPY}{CAPY(r19)} *{(\href{#fore_i_y}{fore\_i\_y(r19)}*\href{#TOBY}{TOBY(r19)} +{(1-\href{#fore_i_y}{fore\_i\_y(r19)})}*\href{#TPAY}{TPAY(r19)} -1)})}}{\href{#phi_y}{phi\_y(r19)}} \]

Equation 47: JNVZ
For r19 in regions (19 total):

\[ \href{#JNVZ}{JNVZ(r19)} = \frac{{(\href{#CAPZ}{CAPZ(r19)} *{(\href{#fore_i_z}{fore\_i\_z(r19)}*\href{#TOBZ}{TOBZ(r19)} +{(1-\href{#fore_i_z}{fore\_i\_z(r19)})}*\href{#TPAZ}{TPAZ(r19)} -1)})}}{\href{#phi_z}{phi\_z(r19)}} \]

Equation 48: LAM
For r19 in regions, s in sec_std (114 total):

\[ lead({\href{#LAM}{LAM(s,r19)}}) = {(1+\href{#INTR}{INTR(r19)}+\href{#RISE}{RISE(s,r19)} +\href{#delta}{delta(r19)})} *\href{#LAM}{LAM(s,r19)} -{(1-\href{#TCOR}{TCOR(r19)})} *exp{ \left( \href{#PRK}{PRK(s,r19)}-\href{#PRID}{PRID(r19)}\right) } -{(1-\href{#TITC}{TITC(s,r19)})} *exp{ \left( \href{#PRII}{PRII(r19)}-\href{#PRID}{PRID(r19)}\right) } *\frac{\href{#phi}{phi(s,r19)}}{2} *\frac{\href{#JNV}{JNV(s,r19)}}{\href{#CAP}{CAP(s,r19)}} ^2 \]

Equation 49: LAMY
For r19 in regions (19 total):

\[ lead({\href{#LAMY}{LAMY(r19)}}) = {(1+\href{#INTR}{INTR(r19)}+\href{#RISY}{RISY(r19)} +\href{#delta}{delta(r19)})} *\href{#LAMY}{LAMY(r19)} -{(1-\href{#TCOR}{TCOR(r19)})} *exp{ \left( \href{#PRKY}{PRKY(r19)}-\href{#PRID}{PRID(r19)}\right) } -exp{ \left( \href{#PRII}{PRII(r19)}-\href{#PRID}{PRID(r19)}\right) } *\frac{\href{#phi_y}{phi\_y(r19)}}{2} *\frac{\href{#JNVY}{JNVY(r19)}}{\href{#CAPY}{CAPY(r19)}} ^2 \]

Equation 50: LAMZ
For r19 in regions (19 total):

\[ lead({\href{#LAMZ}{LAMZ(r19)}}) = {(1+\href{#INTR}{INTR(r19)}+\href{#RISZ}{RISZ(r19)} +\href{#delta}{delta(r19)})} *\href{#LAMZ}{LAMZ(r19)} -exp{ \left( \href{#PRKZ}{PRKZ(r19)}-\href{#PRID}{PRID(r19)}\right) } -{(1-\href{#TITCH}{TITCH(r19)})} *exp{ \left( \href{#PRII}{PRII(r19)}-\href{#PRID}{PRID(r19)}\right) } *\frac{\href{#phi_z}{phi\_z(r19)}}{2} *\frac{\href{#JNVZ}{JNVZ(r19)}}{\href{#CAPZ}{CAPZ(r19)}} ^2 \]

Equation 51: TOB
For r19 in regions, s in sec_std (114 total):

\[ \href{#TOB}{TOB(s,r19)} = \frac{{(\href{#LAM}{LAM(s,r19)} *exp{ \left( \href{#PRID}{PRID(r19)}-\href{#PRII}{PRII(r19)}\right) })}}{{(1-\href{#TITC}{TITC(s,r19)})}} \]

Equation 52: TOBY
For r19 in regions (19 total):

\[ \href{#TOBY}{TOBY(r19)} = \href{#LAMY}{LAMY(r19)} *exp{ \left( \href{#PRID}{PRID(r19)}-\href{#PRII}{PRII(r19)}\right) } \]

Equation 53: TOBZ
For r19 in regions (19 total):

\[ \href{#TOBZ}{TOBZ(r19)} = \frac{{(\href{#LAMZ}{LAMZ(r19)} *exp{ \left( \href{#PRID}{PRID(r19)}-\href{#PRII}{PRII(r19)}\right) })}}{{(1-\href{#TITCH}{TITCH(r19)})}} \]

Equation 54: TPA
For r19 in regions, s in sec_std (114 total):

\[ lead({\href{#TPA}{TPA(s,r19)}}) = \href{#TPA}{TPA(s,r19)} +\href{#adapt}{adapt(r19)} *{(\href{#TOB}{TOB(s,r19)}-\href{#TPA}{TPA(s,r19)})} \]

Equation 55: TPAY
For r19 in regions (19 total):

\[ lead({\href{#TPAY}{TPAY(r19)}}) = \href{#TPAY}{TPAY(r19)} +\href{#adapt}{adapt(r19)} *{(\href{#TOBY}{TOBY(r19)}-\href{#TPAY}{TPAY(r19)})} \]

Equation 56: TPAZ
For r19 in regions (19 total):

\[ lead({\href{#TPAZ}{TPAZ(r19)}}) = \href{#TPAZ}{TPAZ(r19)} +\href{#adapt}{adapt(r19)} *{(\href{#TOBZ}{TOBZ(r19)}-\href{#TPAZ}{TPAZ(r19)})} \]

Equation 57: PRF
For r19 in regions, s in sec_std (114 total):

\[ \href{#PRF}{PRF(s,r19)} = \frac{{(\href{#OUP}{OUP(s,r19)} *exp{ \left(\href{#PRP}{PRP(s,r19)}\right) } -\href{#ENT}{ENT(s,r19)} *exp{ \left(\href{#PRE}{PRE(s,r19)}\right) } -\href{#LAB}{LAB(s,r19)} *exp{ \left(\href{#WAG}{WAG(s,r19)}\right) } -\href{#OIN}{OIN(s,r19)} *exp{ \left(\href{#POI}{POI(s,r19)}\right) } -{(1-\href{#TITC}{TITC(s,r19)})}*\href{#INV}{INV(s,r19)} *exp{ \left(\href{#PRII}{PRII(r19)}\right) })}}{exp{ \left(\href{#PRID}{PRID(r19)}\right) }} \]

Equation 58: PRFY
For r19 in regions (19 total):

\[ \href{#PRFY}{PRFY(r19)} = \frac{{(\href{#INVT}{INVT(r19)} *exp{ \left(\href{#PRII}{PRII(r19)}\right) } -\href{#IITE}{IITE(r19)} *exp{ \left(\href{#PRIE}{PRIE(r19)}\right) } -\href{#IITL}{IITL(r19)} *exp{ \left(\href{#WAGE}{WAGE(r19)}\right) } -\href{#IITO}{IITO(r19)} *exp{ \left(\href{#PROI}{PROI(r19)}\right) } -\href{#INVY}{INVY(r19)} *exp{ \left(\href{#PRII}{PRII(r19)}\right) })}}{exp{ \left(\href{#PRID}{PRID(r19)}\right) }} \]

Equation 59: PRFZ
For r19 in regions (19 total):

\[ \href{#PRFZ}{PRFZ(r19)} = \frac{{(\href{#CONP}{CONP(r19)} *exp{ \left(\href{#PRCT}{PRCT(r19)}\right) } -\href{#CNPE}{CNPE(r19)} *exp{ \left(\href{#PRCE}{PRCE(r19)}\right) } -\href{#CNPL}{CNPL(r19)} *exp{ \left(\href{#WAGE}{WAGE(r19)}\right) } -\href{#CNPO}{CNPO(r19)} *exp{ \left(\href{#PRCO}{PRCO(r19)}\right) } -{(1-\href{#TITCH}{TITCH(r19)})}*\href{#INVZ}{INVZ(r19)} *exp{ \left(\href{#PRII}{PRII(r19)}\right) })}}{exp{ \left(\href{#PRID}{PRID(r19)}\right) }} \]

Equation 60: PRFT
For r19 in regions (19 total):

\[ \href{#PRFT}{PRFT(r19)} = \sum_{s \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(\href{#PRF}{PRF(s,r19)}\right) } +\href{#PRFY}{PRFY(r19)} \]

Equation 61: STM
For r19 in regions, s in sec_std (114 total):

\[ \href{#STM}{STM(s,r19)} = \frac{{(\href{#LAM}{LAM(s,r19)}*\href{#CAP}{CAP(s,r19)})}}{{(1-\href{#TITC}{TITC(s,r19)})}} \]

Equation 62: STMT
For r19 in regions (19 total):

\[ \href{#STMT}{STMT(r19)} = \sum_{s \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(\href{#STM}{STM(s,r19)}\right) } \]

Equation 63: INVP
For r19 in regions (19 total):

\[ \href{#INVP}{INVP(r19)} = \sum_{s \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(\href{#INV}{INV(s,r19)}\right) } \]

Equation 64: INVT
For r19 in regions (19 total):

\[ \href{#INVT}{INVT(r19)} = \href{#INVY}{INVY(r19)}+\href{#INVZ}{INVZ(r19)} +\href{#INVP}{INVP(r19)} \]

Equation 65: PRID
For r19 in regions (19 total):

\[ \href{#PRID}{PRID(r19)} = \sum_{g5 \; \text{in} \; \href{#goods}{goods}} { \left(\href{#prid_weight}{prid\_weight(g5,r19)} *\href{#PRD}{PRD(g5,r19)}\right) } \]

Equation 66: PRIX
For r19 in regions (19 total):

\[ \href{#PRIX}{PRIX(r19)} = \sum_{g9 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(\href{#prix_weight}{prix\_weight(g9,r19)} *\href{#PRX}{PRX(g9,r19)}\right) } \]

Equation 67: OUTP
For r19 in regions (19 total):

\[ \href{#OUTP}{OUTP(r19)} = \frac{\sum_{g5 \; \text{in} \; \href{#goods}{goods}} { \left(exp{ \left(\href{#PRD}{PRD(g5,r19)}\right) } *\href{#OUG}{OUG(g5,r19)}\right) }}{exp{ \left(\href{#PRID}{PRID(r19)}\right) }} \]

Equation 68: OUTL
For r19 in regions (19 total):

\[ lead({\href{#OUTL}{OUTL(r19)}}) = \href{#OUTP}{OUTP(r19)} \]

Equation 69: INCM
For r19 in regions (19 total):

\[ \href{#INCM}{INCM(r19)} = \href{#TRAN}{TRAN(r19)}-\href{#TAXL}{TAXL(r19)} +\href{#INTR}{INTR(r19)}*\href{#BOND}{BOND(r19)} +\frac{\href{#IRAS}{IRAS(r19)}}{exp{ \left(\href{#REXN}{REXN(r19)}\right) }} +\href{#PRFZ}{PRFZ(r19)} +{(1-\href{#TCOR}{TCOR(r19)})}*\href{#PRFT}{PRFT(r19)} +\frac{{({(1-\href{#TINC}{TINC(r19)})} *{(exp{ \left(\href{#WAGE}{WAGE(r19)}\right) } *{(\href{#IITL}{IITL(r19)}+\href{#CNPL}{CNPL(r19)})} +exp{ \left(\href{#WAGG}{WAGG(r19)}\right) } *\href{#GOVL}{GOVL(r19)} +\sum_{s \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(exp{ \left(\href{#WAG}{WAG(s,r19)}\right) } *\href{#LAB}{LAB(s,r19)}\right) })})}}{exp{ \left(\href{#PRID}{PRID(r19)}\right) }} \]

Equation 70: CONP
For r19 in regions (19 total):

\[ \href{#CONP}{CONP(r19)} = \href{#fore_c}{fore\_c(r19)} *{(\href{#timepref}{timepref(r19)}+\href{#RISW}{RISW(r19)})} *\href{#WELT}{WELT(r19)} *exp{ \left( \href{#PRID}{PRID(r19)}-\href{#PRCT}{PRCT(r19)}\right) } +{(1-\href{#fore_c}{fore\_c(r19)})}*\href{#mpc}{mpc(r19)} *\href{#INCM}{INCM(r19)} *exp{ \left( \href{#PRID}{PRID(r19)}-\href{#PRCT}{PRCT(r19)}\right) } +\href{#SHKC}{SHKC(r19)} \]

Equation 71: IRAS
For o2 in owner (19 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 (19 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 r19 in regions (19 total):

\[ \href{#CNPL}{CNPL(r19)} = exp{ \left( \href{#SHLZ}{SHLZ(r19)}+\href{#SHYZ}{SHYZ(r19)}\right) } ^{(\href{#sigma_oH}{sigma\_oH(r19)}-1)} *\href{#delta_oH}{delta\_oH(\text{l},r19)} *\href{#CONP}{CONP(r19)} *exp{ \left( \href{#PRCT}{PRCT(r19)}-\href{#WAGE}{WAGE(r19)}\right) } ^\href{#sigma_oH}{sigma\_oH(r19)} \]

Equation 74: CNPE
For r19 in regions (19 total):

\[ \href{#CNPE}{CNPE(r19)} = exp{ \left( \href{#SHEFC}{SHEFC(r19)}+\href{#SHYZ}{SHYZ(r19)}\right) } ^{(\href{#sigma_oH}{sigma\_oH(r19)}-1)} *\href{#delta_oH}{delta\_oH(\text{e},r19)} *\href{#CONP}{CONP(r19)} *exp{ \left( \href{#PRCT}{PRCT(r19)}-\href{#PRCE}{PRCE(r19)}\right) } ^\href{#sigma_oH}{sigma\_oH(r19)} \]

Equation 75: CNPO
For r19 in regions (19 total):

\[ \href{#CNPO}{CNPO(r19)} = exp{ \left(\href{#SHYZ}{SHYZ(r19)}\right) } ^{(\href{#sigma_oH}{sigma\_oH(r19)}-1)} *\href{#delta_oH}{delta\_oH(\text{m},r19)} *\href{#CONP}{CONP(r19)} *exp{ \left( \href{#PRCT}{PRCT(r19)}-\href{#PRCO}{PRCO(r19)}\right) } ^\href{#sigma_oH}{sigma\_oH(r19)} \]

Equation 76: CNPK
For r19 in regions (19 total):

\[ \href{#CNPK}{CNPK(r19)} = exp{ \left(\href{#SHYZ}{SHYZ(r19)}\right) } ^{(\href{#sigma_oH}{sigma\_oH(r19)}-1)} *\href{#delta_oH}{delta\_oH(\text{k},r19)} *\href{#CONP}{CONP(r19)} *exp{ \left( \href{#PRCT}{PRCT(r19)}-\href{#PRKZ}{PRKZ(r19)}\right) } ^\href{#sigma_oH}{sigma\_oH(r19)} \]

Equation 77: PRCT
For r19 in regions (19 total):

\[ \href{#PRCT}{PRCT(r19)} = \href{#cd_oH}{cd\_oH(r19)} *{(\href{#delta_oH}{delta\_oH(\text{k},r19)} *\href{#PRKZ}{PRKZ(r19)} +\href{#delta_oH}{delta\_oH(\text{l},r19)} *\href{#WAGE}{WAGE(r19)} +\href{#delta_oH}{delta\_oH(\text{e},r19)} *\href{#PRCE}{PRCE(r19)} +\href{#delta_oH}{delta\_oH(\text{m},r19)} *\href{#PRCO}{PRCO(r19)} -\href{#delta_oH}{delta\_oH(\text{l},r19)} *\href{#SHLZ}{SHLZ(r19)} -\href{#delta_oH}{delta\_oH(\text{e},r19)} *\href{#SHEFC}{SHEFC(r19)})} +\frac{{({(1-\href{#cd_oH}{cd\_oH(r19)})} *ln{ \left( \href{#delta_oH}{delta\_oH(\text{k},r19)} *exp{ \left(\href{#PRKZ}{PRKZ(r19)}\right) } ^{(1-\href{#sigma_oH}{sigma\_oH(r19)})} +\href{#delta_oH}{delta\_oH(\text{l},r19)} *exp{ \left( \href{#WAGE}{WAGE(r19)}-\href{#SHLZ}{SHLZ(r19)}\right) } ^{(1-\href{#sigma_oH}{sigma\_oH(r19)})} +\href{#delta_oH}{delta\_oH(\text{e},r19)} *exp{ \left( \href{#PRCE}{PRCE(r19)}-\href{#SHEFC}{SHEFC(r19)}\right) } ^{(1-\href{#sigma_oH}{sigma\_oH(r19)})} +\href{#delta_oH}{delta\_oH(\text{m},r19)} *exp{ \left(\href{#PRCO}{PRCO(r19)}\right) } ^{(1-\href{#sigma_oH}{sigma\_oH(r19)})}\right) })}}{{(1 -\href{#sigma_oH}{sigma\_oH(r19)}*{(1-\href{#cd_oH}{cd\_oH(r19)})})}} -\href{#SHYZ}{SHYZ(r19)} \]

Equation 78: PRGT
For r19 in regions (19 total):

\[ \href{#PRGT}{PRGT(r19)} = \frac{\href{#delta_oG}{delta\_oG(\text{e},r19)}}{{(\href{#delta_oG}{delta\_oG(\text{e},r19)} +\href{#delta_oG}{delta\_oG(\text{m},r19)})}} *\sum_{g6 \; \text{in} \; \href{#goods_e}{goods\_e}} { \left(\href{#delta_eG}{delta\_eG(g6,r19)}*\href{#PRY}{PRY(g6,r19)}\right) } +\frac{\href{#delta_oG}{delta\_oG(\text{m},r19)}}{{(\href{#delta_oG}{delta\_oG(\text{e},r19)} +\href{#delta_oG}{delta\_oG(\text{m},r19)})}} *\sum_{g7 \; \text{in} \; \href{#goods_m}{goods\_m}} { \left(\href{#delta_mG}{delta\_mG(g7,r19)}*\href{#PRY}{PRY(g7,r19)}\right) } \]

Equation 79: MONE
For r19 in regions (19 total):

\[ \href{#MONE}{MONE(r19)} = \href{#PRID}{PRID(r19)} +ln{ \left(\href{#OUTP}{OUTP(r19)}\right) } +\href{#int_elast}{int\_elast(r19)}*\href{#INTN}{INTN(r19)} +\href{#SHKM}{SHKM(r19)} \]

Equation 80: INTF
For r19 in regions (19 total):

\[ \href{#INTF}{INTF(r19)} = \href{#INTN}{INTN(r19)}-lead({\href{#PRID}{PRID(r19)}}) +\href{#PRID}{PRID(r19)} \]

Equation 81: INTR
For r19 in regions (19 total):

\[ \href{#INTR}{INTR(r19)} = \href{#INTF}{INTF(r19)}+\href{#RISR}{RISR(r19)} \]

Equation 82: INFP
For r19 in regions (19 total):

\[ \href{#INFP}{INFP(r19)} = \href{#PRID}{PRID(r19)}-\href{#PRDL}{PRDL(r19)} \]

Equation 83: PRCL
For r19 in regions (19 total):

\[ lead({\href{#PRCL}{PRCL(r19)}}) = \href{#PRCT}{PRCT(r19)} \]

Equation 84: PRDL
For r19 in regions (19 total):

\[ lead({\href{#PRDL}{PRDL(r19)}}) = \href{#PRID}{PRID(r19)} \]

Equation 85: GDPN
For r19 in regions (19 total):

\[ \href{#GDPN}{GDPN(r19)} = exp{ \left(\href{#PRCT}{PRCT(r19)}\right) } *\href{#CONP}{CONP(r19)} +exp{ \left(\href{#PRGT}{PRGT(r19)}\right) } *\href{#GCET}{GCET(r19)} +exp{ \left(\href{#PRII}{PRII(r19)}\right) } *\href{#INVT}{INVT(r19)} +exp{ \left(\href{#PRID}{PRID(r19)}\right) } *\href{#TBAL}{TBAL(r19)} +\sum_{g9 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(exp{ \left(\href{#PRII}{PRII(r19)}\right) } *\href{#INS}{INS(r19,g9)}\right) } \]

Equation 86: GDPR
For r19 in regions (19 total):

\[ \href{#GDPR}{GDPR(r19)} = \href{#CONP}{CONP(r19)}+\href{#GCET}{GCET(r19)} +\href{#INVT}{INVT(r19)} +\href{#TBAL}{TBAL(r19)} +\sum_{g9 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(\href{#INS}{INS(r19,g9)}\right) } \]

Equation 87: PGDP
For r19 in regions (19 total):

\[ \href{#PGDP}{PGDP(r19)} = ln{ \left(\href{#GDPN}{GDPN(r19)}\right) } -ln{ \left(\href{#GDPR}{GDPR(r19)}\right) } \]

Equation 88: GNPR
For r19 in regions (19 total):

\[ \href{#GNPR}{GNPR(r19)} = \href{#GDPR}{GDPR(r19)} +\frac{{(\href{#PBAL}{PBAL(r19)}+\href{#IRAS}{IRAS(r19)})}}{exp{ \left(\href{#REXN}{REXN(r19)}\right) }} \]

Equation 89: CURN
For r19 in regions (19 total):

\[ \href{#CURN}{CURN(r19)} = \href{#TBAL}{TBAL(r19)} +\frac{{(\href{#PBAL}{PBAL(r19)}+\href{#INAS}{INAS(r19)})}}{exp{ \left(\href{#REXN}{REXN(r19)}\right) }} \]

Equation 90: CURR
For r19 in regions (19 total):

\[ \href{#CURR}{CURR(r19)} = \href{#TBAU}{TBAU(r19)}+\href{#PBAL}{PBAL(r19)} +\href{#IRAS}{IRAS(r19)} \]

Equation 91: WELT
For r19 in regions (19 total):

\[ \href{#WELT}{WELT(r19)} = \href{#BOND}{BOND(r19)} +\frac{\href{#ASSU}{ASSU(r19)}}{exp{ \left(\href{#REXN}{REXN(r19)}\right) }} +\frac{{(\href{#mongdp}{mongdp(r19)} *exp{ \left(\href{#MONE}{MONE(r19)}\right) })}}{exp{ \left(\href{#PRID}{PRID(r19)}\right) }} +\href{#WELH}{WELH(r19)} +\href{#LAMY}{LAMY(r19)}*\href{#CAPY}{CAPY(r19)} +\href{#LAMZ}{LAMZ(r19)}*\href{#CAPZ}{CAPZ(r19)} +\sum_{s \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(\href{#STM}{STM(s,r19)}\right) } \]

Equation 92: WELH
For r19 in regions (19 total):

\[ lead({\href{#WELH}{WELH(r19)}}) = {(1+\href{#RISW}{RISW(r19)}+\href{#RISH}{RISH(r19)} +\href{#INTR}{INTR(r19)} -\href{#labgrow}{labgrow(r19)})} *\href{#WELH}{WELH(r19)} -\href{#TRAN}{TRAN(r19)} +\href{#TAXH}{TAXH(r19)} +\href{#TAXL}{TAXL(r19)} -\frac{{(exp{ \left(\href{#WAGE}{WAGE(r19)}\right) } *{(\href{#IITL}{IITL(r19)}+\href{#CNPL}{CNPL(r19)})} +exp{ \left(\href{#WAGG}{WAGG(r19)}\right) } *\href{#GOVL}{GOVL(r19)} +\sum_{s \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(exp{ \left(\href{#WAG}{WAG(s,r19)}\right) } *\href{#LAB}{LAB(s,r19)}\right) })}}{exp{ \left(\href{#PRID}{PRID(r19)}\right) }} \]

Equation 93: SAVI
For r19 in regions (19 total):

\[ \href{#SAVI}{SAVI(r19)} = \href{#INVT}{INVT(r19)} *exp{ \left( \href{#PRII}{PRII(r19)}-\href{#PRID}{PRID(r19)}\right) } +\frac{\href{#CURR}{CURR(r19)}}{exp{ \left(\href{#REXN}{REXN(r19)}\right) }} +\href{#DEFI}{DEFI(r19)} \]

Equation 94: SAVN
For r19 in regions (19 total):

\[ \href{#SAVN}{SAVN(r19)} = \href{#INVT}{INVT(r19)} *exp{ \left( \href{#PRII}{PRII(r19)}-\href{#PRID}{PRID(r19)}\right) } +\href{#CURN}{CURN(r19)} +\href{#DEFN}{DEFN(r19)} \]

Equation 95: SAVT
For r19 in regions (19 total):

\[ \href{#SAVT}{SAVT(r19)} = \href{#INVT}{INVT(r19)} *exp{ \left( \href{#PRII}{PRII(r19)}-\href{#PRID}{PRID(r19)}\right) } +\href{#CURN}{CURN(r19)} \]

Equation 96: TBAL
For r19 in regions (19 total):

\[ \href{#TBAL}{TBAL(r19)} = \href{#EXQT}{EXQT(r19)}-\href{#IMQT}{IMQT(r19)} \]

Equation 97: TBAU
For r19 in regions (19 total):

\[ \href{#TBAU}{TBAU(r19)} = \href{#TBAL}{TBAL(r19)} *exp{ \left(\href{#REXN}{REXN(r19)}\right) } \]

Equation 98: EXCH
For n1 in notUSA (18 total):

\[ \href{#EXCH}{EXCH(n1)} = \href{#REXN}{REXN(n1)}-\href{#PRID}{PRID(n1)} +\href{#PRID}{PRID(\text{USA})} \]

Equation 99: EXCL
For r19 in regions (19 total):

\[ lead({\href{#EXCL}{EXCL(r19)}}) = \href{#EXCH}{EXCH(r19)} \]

Equation 100: REXC
For r19 in regions (19 total):

\[ lead({\href{#REXC}{REXC(r19)}}) = \href{#REXC}{REXC(r19)}-\href{#INTR}{INTR(r19)} +\href{#INTR}{INTR(\text{USA})} +\href{#EXCR}{EXCR(r19)} \]

Equation 101: NEER
For d in dest (19 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 (19 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 (19 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 (361 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 (19 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 r19 in regions (19 total):

\[ \href{#EYGR}{EYGR(r19)} = ln{ \left(lead({\href{#OUTP}{OUTP(r19)}})\right) } -ln{ \left(\href{#OUTP}{OUTP(r19)}\right) } \]

Equation 107: EPRC
For r19 in regions (19 total):

\[ \href{#EPRC}{EPRC(r19)} = lead({\href{#PRCT}{PRCT(r19)}})-\href{#PRCT}{PRCT(r19)} \]

Equation 108: INFL
For r19 in regions (19 total):

\[ \href{#INFL}{INFL(r19)} = \href{#PRCT}{PRCT(r19)}-\href{#PRCL}{PRCL(r19)} \]

Equation 109: PRCOL
For r19 in regions (19 total):

\[ lead({\href{#PRCOL}{PRCOL(r19)}}) = \href{#PRCO}{PRCO(r19)} \]

Equation 110: INFCL
For r19 in regions (19 total):

\[ \href{#INFCL}{INFCL(r19)} = \href{#PRCO}{PRCO(r19)}-\href{#PRCOL}{PRCOL(r19)} \]

Equation 111: GNEN
For r19 in regions (19 total):

\[ \href{#GNEN}{GNEN(r19)} = exp{ \left(\href{#PRCT}{PRCT(r19)}\right) } *\href{#CONP}{CONP(r19)} +exp{ \left(\href{#PRID}{PRID(r19)}\right) } *\href{#GCET}{GCET(r19)} +exp{ \left(\href{#PRII}{PRII(r19)}\right) } *\href{#INVT}{INVT(r19)} +\sum_{g9 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(exp{ \left(\href{#PRII}{PRII(r19)}\right) } *\href{#INS}{INS(r19,g9)}\right) } \]

Equation 112: GNER
For r19 in regions (19 total):

\[ \href{#GNER}{GNER(r19)} = \href{#CONP}{CONP(r19)}+\href{#GCET}{GCET(r19)} +\href{#INVT}{INVT(r19)} +\sum_{g9 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(\href{#INS}{INS(r19,g9)}\right) } \]

Equation 113: INTN
For r19 in regions (19 total):

\[ \href{#INTN}{INTN(r19)} = \href{#mrule_r}{mrule\_r(r19)}*\href{#INTL}{INTL(r19)} +\href{#mrule_ex}{mrule\_ex(r19)} *{(\href{#EXCH}{EXCH(r19)}-\href{#EXCL}{EXCL(r19)} -\href{#EXCX}{EXCX(r19)})} +\href{#mrule_1}{mrule\_1(r19)} *{(\href{#INFL}{INFL(r19)}-\href{#INFX}{INFX(r19)})} +\href{#mrule_2}{mrule\_2(r19)} *{(\href{#INFP}{INFP(r19)}-\href{#INFX}{INFX(r19)})} +\href{#mrule_3}{mrule\_3(r19)} *{(\href{#INFCL}{INFCL(r19)}-\href{#INFX}{INFX(r19)})} +\href{#mrule_4}{mrule\_4(r19)} *{(\href{#PRCT}{PRCT(r19)}-\href{#PTAR}{PTAR(r19)})} +\href{#mrule_5}{mrule\_5(r19)} *{(\href{#PRID}{PRID(r19)}-\href{#PTAR}{PTAR(r19)})} +\href{#mrule_6}{mrule\_6(r19)} *{(\href{#WAGE}{WAGE(r19)}-\href{#PTAR}{PTAR(r19)})} +\href{#mrule_7}{mrule\_7(r19)}*0 +\href{#mrule_8}{mrule\_8(r19)} *{(ln{ \left(\href{#OUTP}{OUTP(r19)}\right) } -ln{ \left(\href{#OUTL}{OUTL(r19)}\right) } -\href{#ROGY}{ROGY(r19)})} +\href{#mrule_9}{mrule\_9(r19)} *{(ln{ \left(\href{#OUTP}{OUTP(r19)}\right) } -ln{ \left(\href{#OUTL}{OUTL(r19)}\right) } -\href{#ROGY}{ROGY(r19)} +\href{#INFP}{INFP(r19)} -\href{#INFX}{INFX(r19)})} +\href{#mrule_10}{mrule\_10(r19)} *{(ln{ \left(\href{#GDPN}{GDPN(r19)}\right) } -\href{#ROGY}{ROGY(r19)})} +\href{#mrule_11}{mrule\_11(r19)} *{(ln{ \left(\href{#OUTP}{OUTP(r19)}\right) } +\href{#PRID}{PRID(r19)})} +\href{#mrule_12}{mrule\_12(r19)} *ln{ \left( \href{#OUTP}{OUTP(r19)} *exp{ \left(\href{#PRID}{PRID(r19)}\right) } -\href{#TBAL}{TBAL(r19)}\right) } +\href{#mrule_13}{mrule\_13(r19)} *{(\href{#EPRC}{EPRC(r19)}-\href{#INFX}{INFX(r19)})} +\href{#mrule_14}{mrule\_14(r19)} *{(\href{#EYGR}{EYGR(r19)}-\href{#ROGY}{ROGY(r19)})} +\href{#mrule_15}{mrule\_15(r19)} *{(ln{ \left(\href{#GNEN}{GNEN(r19)}\right) } -\href{#ROGY}{ROGY(r19)})} \]

Equation 114: INTL
For r19 in regions (19 total):

\[ lead({\href{#INTL}{INTL(r19)}}) = \href{#INTN}{INTN(r19)} \]

Equation 115: GCE
For g6 in goods_e, r19 in regions (19 total):

\[ \href{#GCE}{GCE(g6,r19)} = \frac{{(\href{#delta_eG}{delta\_eG(g6,r19)} *\frac{\href{#delta_oG}{delta\_oG(\text{e},r19)}}{{(\href{#delta_oG}{delta\_oG(\text{e},r19)} +\href{#delta_oG}{delta\_oG(\text{m},r19)})}} *\href{#GOVS}{GOVS(r19)} *exp{ \left(\href{#PRGT}{PRGT(r19)}\right) })}}{exp{ \left(\href{#PRY}{PRY(g6,r19)}\right) }} \]

Equation 116: GCE
For g7 in goods_m, r19 in regions (95 total):

\[ \href{#GCE}{GCE(g7,r19)} = \frac{{(\href{#delta_mG}{delta\_mG(g7,r19)} *\frac{\href{#delta_oG}{delta\_oG(\text{m},r19)}}{{(\href{#delta_oG}{delta\_oG(\text{e},r19)} +\href{#delta_oG}{delta\_oG(\text{m},r19)})}} *\href{#GOVS}{GOVS(r19)} *exp{ \left(\href{#PRGT}{PRGT(r19)}\right) })}}{exp{ \left(\href{#PRY}{PRY(g7,r19)}\right) }} \]

Equation 117: GCET
For r19 in regions (19 total):

\[ \href{#GCET}{GCET(r19)} = \frac{\sum_{g9 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(\href{#GCE}{GCE(g9,r19)} *exp{ \left(\href{#PRY}{PRY(g9,r19)}\right) }\right) }}{exp{ \left(\href{#PRGT}{PRGT(r19)}\right) }} \]

Equation 118: GOVT
For r19 in regions (19 total):

\[ \href{#GOVT}{GOVT(r19)} = \href{#GCET}{GCET(r19)} +\href{#GOVL}{GOVL(r19)} *exp{ \left( \href{#WAGG}{WAGG(r19)}-\href{#PRID}{PRID(r19)}\right) } \]

Equation 119: TRAN
For r19 in regions (19 total):

\[ \href{#TRAN}{TRAN(r19)} = \href{#TRANX}{TRANX(r19)} +\href{#transgdp}{transgdp(r19)}*\href{#OUTP}{OUTP(r19)} \]

Equation 120: TXM
For d in dest, g9 in goods_o (114 total):

\[ \href{#TXM}{TXM(g9,d)} = \frac{\sum_{o1 \; \text{in} \; \href{#orig}{orig}} { \left({(\href{#TIM}{TIM(g9,d,o1)}*\href{#MUL}{MUL(d,o1)} +\href{#TIF}{TIF(g9,d)}*\href{#FTA}{FTA(d,o1)})} *exp{ \left(\href{#PIM}{PIM(g9,d,o1)}\right) } *\href{#IMP}{IMP(g9,d,o1)}\right) }}{exp{ \left(\href{#PRID}{PRID(d)}\right) }} \]

Equation 121: TAXM
For d in dest (19 total):

\[ \href{#TAXM}{TAXM(d)} = \sum_{g9 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(\href{#TXM}{TXM(g9,d)}\right) } \]

Equation 122: TAXX
For r19 in regions (19 total):

\[ \href{#TAXX}{TAXX(r19)} = \frac{\sum_{g9 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(\href{#TEX}{TEX(g9,r19)} *exp{ \left(\href{#PRS}{PRS(g9,r19)}\right) } *\href{#EXQ}{EXQ(g9,r19)}\right) }}{exp{ \left(\href{#PRID}{PRID(r19)}\right) }} \]

Equation 123: TAXH
For r19 in regions (19 total):

\[ \href{#TAXH}{TAXH(r19)} = \frac{{(\href{#TINC}{TINC(r19)} *{(exp{ \left(\href{#WAGE}{WAGE(r19)}\right) } *{(\href{#IITL}{IITL(r19)}+\href{#CNPL}{CNPL(r19)})} +exp{ \left(\href{#WAGG}{WAGG(r19)}\right) } *\href{#GOVL}{GOVL(r19)} +\sum_{s \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(exp{ \left(\href{#WAG}{WAG(s,r19)}\right) } *\href{#LAB}{LAB(s,r19)}\right) })} -\href{#TITCH}{TITCH(r19)} *exp{ \left(\href{#PRII}{PRII(r19)}\right) } *\href{#INVZ}{INVZ(r19)})}}{exp{ \left(\href{#PRID}{PRID(r19)}\right) }} \]

Equation 124: BOND
For r19 in regions (19 total):

\[ lead({\href{#BOND}{BOND(r19)}}) = \href{#DEFI}{DEFI(r19)} +\href{#BOND}{BOND(r19)}*{(1-\href{#labgrow}{labgrow(r19)})} -\href{#PBAG}{PBAG(r19)} \]

Equation 125: TAXL
For r19 in regions (19 total):

\[ \href{#TAXL}{TAXL(r19)} = \href{#INTR}{INTR(r19)}*\href{#BOND}{BOND(r19)} +\href{#TAXS}{TAXS(r19)} \]

Equation 126: TAXT
For r19 in regions (19 total):

\[ \href{#TAXT}{TAXT(r19)} = \href{#TAXC}{TAXC(r19)}+\href{#TAXH}{TAXH(r19)} +\href{#TAXL}{TAXL(r19)} +\href{#TAXM}{TAXM(r19)} +\href{#TAXX}{TAXX(r19)} +\href{#TAXE}{TAXE(r19)} \]

Equation 127: DEFI
For r19 in regions (19 total):

\[ \href{#DEFI}{DEFI(r19)} = \href{#GOVT}{GOVT(r19)}+\href{#TRAN}{TRAN(r19)} -\href{#TAXT}{TAXT(r19)} +\href{#INTR}{INTR(r19)}*\href{#BOND}{BOND(r19)} \]

Equation 128: DEFN
For r19 in regions (19 total):

\[ \href{#DEFN}{DEFN(r19)} = \href{#DEFI}{DEFI(r19)} +{(\href{#INTN}{INTN(r19)}-\href{#INTR}{INTR(r19)})} *\href{#BOND}{BOND(r19)} \]

Equation 129: PRT
For g6 in goods_e, r19 in regions, s in sec_std (114 total):

\[ \href{#PRT}{PRT(s,g6,r19)} = ln{ \left( exp{ \left(\href{#PRS}{PRS(g6,r19)}\right) } *{(1+\href{#TAX}{TAX(g6,r19)})} +\href{#TXGS}{TXGS(s,g6,r19)}\right) } \]

Equation 130: CON
For g6 in goods_e, r19 in regions (19 total):

\[ \href{#CON}{CON(g6,r19)} = \href{#delta_eH}{delta\_eH(g6,r19)}*\href{#CNPE}{CNPE(r19)} *exp{ \left( \href{#PRCE}{PRCE(r19)}-\href{#PRY}{PRY(g6,r19)}\right) } ^\href{#sigma_eH}{sigma\_eH(r19)} \]

Equation 131: CON
For g8 in goods_mc, r19 in regions (76 total):

\[ \href{#CON}{CON(g8,r19)} = \href{#delta_mH}{delta\_mH(g8,r19)}*\href{#CNPO}{CNPO(r19)} *exp{ \left( \href{#PRCO}{PRCO(r19)}-\href{#PRY}{PRY(g8,r19)}\right) } ^\href{#sigma_mH}{sigma\_mH(r19)} \]

Equation 132: EN
For g6 in goods_e, r19 in regions, s in sec_std (114 total):

\[ \href{#EN}{EN(s,g6,r19)} = \href{#delta_e}{delta\_e(r19,s,g6)}*\href{#ENT}{ENT(s,r19)} *exp{ \left( \href{#PRE}{PRE(s,r19)}-\href{#PRT}{PRT(s,g6,r19)}\right) } ^\href{#sigma_e}{sigma\_e(s,r19)} \]

Equation 133: OI
For g7 in goods_m, r19 in regions, s in sec_std (570 total):

\[ \href{#OI}{OI(s,g7,r19)} = \href{#delta_m}{delta\_m(r19,s,g7)}*\href{#OIN}{OIN(s,r19)} *exp{ \left( \href{#POI}{POI(s,r19)}-\href{#PRY}{PRY(g7,r19)}\right) } ^\href{#sigma_m}{sigma\_m(s,r19)} \]

Equation 134: PRE
For r19 in regions, s in sec_std (114 total):

\[ \href{#PRE}{PRE(s,r19)} = \href{#cd_e}{cd\_e(s,r19)} *\sum_{g6 \; \text{in} \; \href{#goods_e}{goods\_e}} { \left(\href{#delta_e}{delta\_e(r19,s,g6)}*\href{#PRT}{PRT(s,g6,r19)}\right) } +\frac{{({(1-\href{#cd_e}{cd\_e(s,r19)})} *ln{ \left( \sum_{g6 \; \text{in} \; \href{#goods_e}{goods\_e}} { \left(\href{#delta_e}{delta\_e(r19,s,g6)} *exp{ \left(\href{#PRT}{PRT(s,g6,r19)}\right) } ^{(1-\href{#sigma_e}{sigma\_e(s,r19)})}\right) }\right) })}}{{(1 -\href{#sigma_e}{sigma\_e(s,r19)}*{(1-\href{#cd_e}{cd\_e(s,r19)})})}} \]

Equation 135: POI
For r19 in regions, s in sec_std (114 total):

\[ \href{#POI}{POI(s,r19)} = \href{#cd_m}{cd\_m(s,r19)} *\sum_{g7 \; \text{in} \; \href{#goods_m}{goods\_m}} { \left(\href{#delta_m}{delta\_m(r19,s,g7)}*\href{#PRY}{PRY(g7,r19)}\right) } +\frac{{({(1-\href{#cd_m}{cd\_m(s,r19)})} *ln{ \left( \sum_{g7 \; \text{in} \; \href{#goods_m}{goods\_m}} { \left(\href{#delta_m}{delta\_m(r19,s,g7)} *exp{ \left(\href{#PRY}{PRY(g7,r19)}\right) } ^{(1-\href{#sigma_m}{sigma\_m(s,r19)})}\right) }\right) })}}{{(1 -\href{#sigma_m}{sigma\_m(s,r19)}*{(1-\href{#cd_m}{cd\_m(s,r19)})})}} \]

Equation 136: PRCE
For r19 in regions (19 total):

\[ \href{#PRCE}{PRCE(r19)} = \href{#cd_eH}{cd\_eH(r19)} *\sum_{g6 \; \text{in} \; \href{#goods_e}{goods\_e}} { \left(\href{#delta_eH}{delta\_eH(g6,r19)}*\href{#PRY}{PRY(g6,r19)}\right) } +\frac{{({(1-\href{#cd_eH}{cd\_eH(r19)})} *ln{ \left( \sum_{g6 \; \text{in} \; \href{#goods_e}{goods\_e}} { \left(\href{#delta_eH}{delta\_eH(g6,r19)} *exp{ \left(\href{#PRY}{PRY(g6,r19)}\right) } ^{(1-\href{#sigma_eH}{sigma\_eH(r19)})}\right) }\right) })}}{{(1 -\href{#sigma_eH}{sigma\_eH(r19)}*{(1-\href{#cd_eH}{cd\_eH(r19)})})}} \]

Equation 137: PRCO
For r19 in regions (19 total):

\[ \href{#PRCO}{PRCO(r19)} = \href{#cd_mH}{cd\_mH(r19)} *\sum_{g7 \; \text{in} \; \href{#goods_m}{goods\_m}} { \left(\href{#delta_mH}{delta\_mH(g7,r19)}*\href{#PRY}{PRY(g7,r19)}\right) } +\frac{{({(1-\href{#cd_mH}{cd\_mH(r19)})} *ln{ \left( \sum_{g7 \; \text{in} \; \href{#goods_m}{goods\_m}} { \left(\href{#delta_mH}{delta\_mH(g7,r19)} *exp{ \left(\href{#PRY}{PRY(g7,r19)}\right) } ^{(1-\href{#sigma_mH}{sigma\_mH(r19)})}\right) }\right) })}}{{(1 -\href{#sigma_mH}{sigma\_mH(r19)}*{(1-\href{#cd_mH}{cd\_mH(r19)})})}} \]

Equation 138: TAXE
For r19 in regions (19 total):

\[ \href{#TAXE}{TAXE(r19)} = \href{#RVGS}{RVGS(r19)} \]

Equation 139: TAXC
For r19 in regions (19 total):

\[ \href{#TAXC}{TAXC(r19)} = \href{#TCOR}{TCOR(r19)} *{(\sum_{s \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(\href{#PRF}{PRF(s,r19)}\right) } +\href{#PRFY}{PRFY(r19)})} +\frac{{(\sum_{g5 \; \text{in} \; \href{#goods}{goods}} { \left(\href{#TAX}{TAX(g5,r19)} *exp{ \left(\href{#PRD}{PRD(g5,r19)}\right) } *\href{#OUG}{OUG(g5,r19)}\right) } +\sum_{g9 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(\href{#TAX}{TAX(g9,r19)} *exp{ \left(\href{#PMR}{PMR(g9,r19)}\right) } *\href{#IMQ}{IMQ(g9,r19)}\right) } -\sum_{s \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(\href{#TITC}{TITC(s,r19)} *exp{ \left(\href{#PRII}{PRII(r19)}\right) } *\href{#INV}{INV(s,r19)}\right) } -\sum_{g9 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(\href{#TAX}{TAX(g9,r19)} *exp{ \left(\href{#PRS}{PRS(g9,r19)}\right) } *\href{#EXQ}{EXQ(g9,r19)}\right) })}}{exp{ \left(\href{#PRID}{PRID(r19)}\right) }} \]

Equation 140: REXN
For r19 in regions (19 total):

\[ \href{#REXN}{REXN(r19)} = \href{#REXC}{REXC(r19)} \]

Equation 141: REXB

\[ \href{#REXB}{REXB(r3)} = \href{#REXC}{REXC(r3)} \]

Equation 142: REXL

\[ lead({\href{#REXL}{REXL(r3)}}) = \href{#REXB}{REXB(r3)} \]

G-Cubed model_6N_181