G-Cubed model_6W

Name	Elements	Description
abroad	USA, JPN, EUW, AUS, KOR, ADV, CHN, IND, IDN, PHL, VNM, THA, MYS, PAK, BGD, LKA, ROA, LAM, AFR, MEN, ROW	used in asset calculations
currency	USA, JPN, EUW, AUS, KOR, ADV, CHN, IND, IDN, PHL, VNM, THA, MYS, PAK, BGD, LKA, ROA, LAM, AFR, MEN, ROW	currency of assets
dest	USA, JPN, EUW, AUS, KOR, ADV, CHN, IND, IDN, PHL, VNM, THA, MYS, PAK, BGD, LKA, 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_nondurable_manufacturing	g05	non-durable manufacturing
good_other_agriculture	g03	agriculture
good_other_mining	g02	mining goods
good_services	g06	services
goods	g01, g02, g03, g04, g05, g06	ordinary products
goods_d	g04	Durable goods
goods_e	g01	energy goods
goods_m	g02, g03, g04, g05, g06	material goods
goods_mc	g02, g03, g05, g06	Material nondurables
goods_o	g01, g02, g03, g04, g05, g06	ordinary goods - those with standard treatment
goods_oc	g01, g02, g03, g05, g06	Ordinary nondurables
notROW	USA, JPN, EUW, AUS, KOR, ADV, CHN, IND, IDN, PHL, VNM, THA, MYS, PAK, BGD, LKA, ROA, LAM, AFR, MEN	used in CURR equation
notUSA	JPN, EUW, AUS, KOR, ADV, CHN, IND, IDN, PHL, VNM, THA, MYS, PAK, BGD, LKA, ROA, LAM, AFR, MEN, ROW	used with REXC equation
orig	USA, JPN, EUW, AUS, KOR, ADV, CHN, IND, IDN, PHL, VNM, THA, MYS, PAK, BGD, LKA, ROA, LAM, AFR, MEN, ROW	alias for regions
owner	USA, JPN, EUW, AUS, KOR, ADV, CHN, IND, IDN, PHL, VNM, THA, MYS, PAK, BGD, LKA, ROA, LAM, AFR, MEN, ROW	owner of assets ASSE
region_ADV	ADV	Other advanced economies
region_AFR	AFR	Rest of Africa
region_AUS	AUS	Australia
region_BGD	BGD	Bangladesh
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_LKA	LKA	Sri Lanka
region_MEN	MEN	Middle East and North Africa
region_MYS	MYS	Malaysia
region_PAK	PAK	Pakistan
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, ADV, CHN, IND, IDN, PHL, VNM, THA, MYS, PAK, BGD, LKA, 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_nondurable_manufacturing	a05	non-durable manufacturing
sector_other_agriculture	a03	agriculture
sector_other_mining	a02	mining
sector_services	a06	services
sector_YY	YY	industrial capital
sector_ZZ	ZZ	household capital
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
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	105	106
ASSE	currency, owner	assets in each currency, including own	sta,usgdp	106	106, 107, 72, 73
ASSU	regions	assets held by region, in US$	end,gdp	107	92
BCT	goods_o, dest, orig	unit border tax adjustment	dollar,exo	none	26, 7
BOND	regions	bonds	gdp,sta	126	126, 127, 129, 130, 70, 92
CAP	sec_std, regions	capital stock	gdp,sta	40	33, 40, 43, 44, 49, 58, 62
CAPY	regions	capital stock of raw capital sector	gdp,sta	41	34, 41, 45, 47, 50, 59, 92
CAPZ	regions	household capital stock	gdp,sta	42	35, 42, 46, 48, 51, 60, 92
CNPE	regions	household demand for energy	end,gdp	75	132, 60
CNPK	regions	household capital services	end,gdp	77	none
CNPL	regions	household demand for labor	end,gdp	74	125, 23, 60, 70, 93
CNPO	regions	household demand for material	end,gdp	76	133, 60
CON	goods_oc, regions	household demand for goods	end,gdp	132, 133	2, 3
CONP	regions	national accounts consumption	end,gdp	71	113, 114, 35, 60, 74, 75, 76, 77, 86, 87
CURN	regions	domestic currency current account using nominal interest payments	end,gdp	90	95, 96
CURR	regions	USD current account using real interest payments	end,gdp	91	105, 106, 94
DEFI	regions	fiscal deficit (real interest rates)	end,gdp	129	126, 130, 94
DEFN	regions	fiscal deficit (nominal interest rates)	end,gdp	130	95
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	134	2
ENT	sec_std, regions	sector demand for energy	end,gdp	16	134, 58
EPRC	regions	expected consumer price inflation rate	end,intertemporal_constant,pct	109	115
EXCH	regions	exchange rate - US$ per unit of region currency	idx,logged,stl	1, 99	100, 103, 115, 6
EXCL	regions	exchange rate - US$ per unit of region currency - lagged	idx,lagged,logged,sta	100	115
EXCR	regions	country risk premium relative to US	exo,pct	none	101
EXCX	regions	exchange rate target percentage change	exo,pct	none	115
EXQ	goods_o, regions	exports, EXP.xx	end,gdp	11	10, 124, 141, 2, 3, 4
EXQT	regions	value of exports at source	end,gdp	10	97
EYGR	regions	expected output growth	end,intertemporal_constant,pct	108	115
GCE	goods_o, regions	government purchases of goods and services	end,gdp	117, 118	119, 2, 3, 4
GCET	regions	national accounts government spending excluding labor	end,gdp	119	113, 114, 120, 86, 87
GDPN	regions	GDP, nominal	end,gdp	86	115, 88
GDPR	regions	GDP, real	end,gdp	87	88, 89
GNEN	regions	GNE, nominal	end,gdp	113	115
GNER	regions	GNE, real	end,gdp	114	none
GNPR	regions	gross national product	end,gdp	89	none
GOVL	regions	labor used by government	exo,gdp	none	120, 125, 23, 70, 93
GOVS	regions	government spending excluding labor	exo,gdp	none	117, 118
GOVT	regions	national accounts government spending including labor	end,gdp	120	129
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, 59
IITL	regions	raw capital sector demand for labor	end,gdp	18	125, 23, 59, 70, 93
IITO	regions	raw capital sector demand for material	end,gdp	20	22, 59
IMP	goods_o, dest, orig	individual imports, IMP.xy	end,exclude_dest_equals_orig,gdp	7	11, 122, 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	141, 7, 8, 9
IMQT	regions	value of imports at destination	end,gdp	9	97
INAS	regions	nominal USD net interest payments on foreign assets	end,gdp	73	90
INCM	regions	after tax household income	end,gdp	70	71
INFCL	regions	household materials inflation rate	end,pct	112	115
INFL	regions	consumer price inflation	end,pct	110	115
INFP	regions	output price inflation	end,pct	83	115
INFX	regions	inflation target	exo,pct	none	115
INS	regions, goods_o	shocks to aggregate investment demand	exo,gdp	none	113, 114, 2, 3, 4, 86, 87
INTF	regions	risk free interest rate, short-run, real	end,pct	81	82
INTL	regions	interest rate, short-run, nominal - lagged	lagged,pct,sta	116	115
INTN	regions	interest rate, short (policy), nominal	pct,stl	115	116, 130, 73, 80, 81
INTR	regions	risk adjusted interest rate, short-run, real	end,pct	82	101, 127, 129, 130, 49, 50, 51, 70, 72, 93
INTX	regions	shock to interest rate target	exo,pct	none	115
INV	sec_std, regions	raw investment	end,gdp	43	141, 44, 64
INVP	regions	total investment by standard sectors	end,gdp	64	65
INVT	regions	total investment including by households	end,gdp	65	113, 114, 18, 19, 20, 34, 59, 86, 87, 94, 95, 96
INVY	regions	raw investment of raw capital sector	end,gdp	45	65
INVZ	regions	household investment	end,gdp	46	125, 65
IRAS	regions	real USD net interest payments on foreign assets	end,gdp	72	70, 89, 91
JNV	sec_std, regions	installed investment	end,gdp	44	40, 49
JNVY	regions	installed investment in the raw capital sector	end,gdp	47	41, 45, 50
JNVZ	regions	installed household investment	end,gdp	48	42, 46, 51
LAB	sec_std, regions	sector demand for labor	end,gdp	15	125, 23, 58, 70, 93
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	49	49, 52, 62
LAMY	regions	marginal value of capital, raw capital sector	cos,pct	50	50, 53, 92
LAMZ	regions	marginal value of a unit of household capital	cos,pct	51	51, 54, 92
LGDPN	regions	GDP, nominal	exo,nomusdbillion	none	none
LGDPR	regions	GDP, real	exo,realusdbillion	none	none
MONE	regions	money demand	end,gdp,logged	80	92
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	103	none
OI	sec_std, goods_m, regions	sector demand for material goods	end,gdp	135	3, 4
OIN	sec_std, regions	sector demand for materials	end,gdp	17	135, 58
OUG	goods, regions	domestic supply of goods	end,gdp	13	14, 141, 68
OUP	sectors, regions	domestic production	end,gdp	14	15, 16, 17, 33, 58
OUTL	regions	aggregate output (lagged)	gdp,lagged,sta	69	115
OUTP	regions	aggregate output	ets,gdp	68	108, 115, 121, 69, 80
OUTX	regions	shock to output target	exo,pct	none	none
OUY	goods, regions	composite supply	end,gdp	2, 3, 4	13, 5
PGDP	regions	GDP implicit price deflator	end,idx,logged	88	none
PIM	goods_o, dest, orig	landed price of imports	end,idx,logged	6	122, 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	141, 24, 5, 7
POI	sec_std, regions	sector price of materials	end,idx,logged	137	135, 17, 31, 58
PRCE	regions	household price of energy	end,idx,logged	138	132, 60, 75, 78
PRCL	regions	aggregate price of consumer goods lagged	idx,lagged,logged,sta	84	110, 36
PRCO	regions	household price of material	end,idx,logged	139	111, 112, 133, 60, 76, 78
PRCOL	regions	household price of material - lagged	idx,lagged,logged,sta	111	112
PRCT	regions	aggregate price of consumer goods	ets,idx,logged	78	109, 110, 113, 115, 35, 36, 60, 71, 74, 75, 76, 77, 84, 86
PRD	goods, regions	post-tax price of goods	end,idx,logged	30	13, 141, 24, 66, 68
PRDL	regions	weighted price of domestic output lag	idx,lagged,logged,sta	85	83
PRDX	regions	shock to weighted price of domestic output	exo,pct	none	none
PRE	sec_std, regions	sector price of energy	end,idx,logged	136	134, 16, 31, 58
PRF	sec_std, regions	short run profits	end,gdp	58	141, 61
PRFT	regions	total economywide profits	end,gdp	61	70
PRFY	regions	profits on raw capital sector	end,gdp	59	141, 61
PRFZ	regions	imputed short run profits on household capital	end,gdp	60	70
PRGT	regions	aggregate price of government goods	end,idx,logged	79	117, 118, 119, 86
PRID	regions	weighted price of domestic output	ets,idx,logged	66	113, 115, 120, 122, 124, 125, 141, 49, 50, 51, 52, 53, 54, 58, 59, 60, 68, 70, 71, 80, 81, 83, 85, 86, 92, 93, 94, 95, 96, 99
PRIE	regions	raw capital sector price of energy	end,idx,logged	28	19, 21, 32, 59
PRII	regions	price paid by producers for raw capital	end,idx,logged	32	113, 125, 141, 18, 19, 20, 34, 49, 50, 51, 52, 53, 54, 58, 59, 60, 86, 94, 95, 96
PRIM	regions	weighted price of imports	end,idx,logged	27	9
PRIX	regions	weighted price of exports	end,idx,logged	67	10
PRK	sec_std, regions	implicit rental price	end,idx,logged	33	31, 49
PRKY	regions	implicit rental price, raw capital sector	end,idx,logged	34	32, 50
PRKZ	regions	implicit rental price, household capital	end,idx,logged	35	51, 77, 78
PROI	regions	raw capital sector price of material	end,idx,logged	29	20, 22, 32, 59
PRP	sectors, regions	pre-tax producer price	end,idx,logged	31	15, 16, 17, 30, 33, 39, 58
PRS	goods, regions	producer price of composite	end,idx,logged	24	12, 124, 13, 131, 141, 25, 5
PRT	sec_std, goods_e, regions	sector-specific input price	end,idx,logged	131	134, 136
PRX	goods_o, regions	price of exports at source	end,idx,logged	12	10, 6, 67
PRXX	regions	shock to expected price of consumer goods	exo,pct	none	36
PRY	goods, regions	purchase price of composite	end,idx,logged	25	117, 118, 119, 132, 133, 135, 137, 138, 139, 21, 22, 28, 29, 79
PTAR	regions	price level target	exo,idx,logged	none	115
RB10	regions	interest rate, 10-year, real	end,pct	none	none
REER	regions	effective real exchange rate, FC/domestic	end,idx,logged	104	none
REXC	regions	real exchange rate - US$ per unit of region currency	cos,idx,intertemporal_constant,logged	101	101, 102
REXN	regions	real exchange rate with capital controls	end,idx,logged	102	104, 106, 107, 70, 72, 73, 89, 90, 92, 94, 98, 99
RISE	sec_std, regions	equity risk premium by sector and region	del,exo	none	49
RISH	regions	risk premium for human wealth	del,exo	none	93
RISR	regions	risk premium in the yield curve	del,exo	none	82
RISW	regions	Blanchard probability of death	del,exo	none	71, 93
RISY	regions	risk premium for raw-capital sector capital	del,exo	none	50
RISZ	regions	risk premium for household capital	del,exo	none	51
ROGY	regions	potential output growth target	exo,pct	none	115
RVGS	regions	revenue from unit taxes	exo,gdp	none	140
SAVI	regions	real domestic saving using real interest rates	end,gdp	94	none
SAVN	regions	real domestic saving using nominal interest rates	end,gdp	95	none
SAVT	regions	domestic non-government saving using nominal interest rates	end,gdp	96	none
SHEF	sec_std, regions	autonomous energy efficiency improvements	exo,pct	none	16, 31
SHEFC	regions	consumption autonomous energy efficiency improvements	exo,pct	none	75, 78
SHK	sec_std, regions	shock to capital efficiency	exo,pct	none	31, 33
SHKC	regions	shock to aggregate consumption	exo,gdp	none	71
SHKI	regions, sec_std	shock to inv equation	exo,gdp	none	43
SHKM	regions	shock to money demand	exo,pct	none	80
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	74, 78
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, 74, 75, 76, 77, 78
STM	sec_std, regions	stock market value	end,gdp	62	63, 92
STMT	regions	total stock market value	end,gdp	63	none
TAX	goods, regions	sales tax on composite	exo,pct	none	131, 141, 25
TAXC	regions	revenue from sales and company taxes	end,gdp	141	128
TAXE	regions	revenue from externality taxes	end,gdp	140	128
TAXH	regions	revenue from taxes on wages	end,gdp	125	128, 93
TAXL	regions	revenue from lump-sum taxes	end,gdp	127	128, 70, 93
TAXM	regions	tariff revenue	end,gdp	123	128
TAXS	regions	exogenous lump sum tax	exo,gdp	none	127
TAXT	regions	total revenue	end,gdp	128	129
TAXX	regions	external tax revenue	end,gdp	124	128
TBAL	regions	trade surplus, domestic currency	end,gdp	97	115, 86, 87, 90, 98
TBAU	regions	trade surplus, USD	end,gdp	98	91
TCOR	regions	tax rate on corporate profits	exo,pct	none	141, 49, 50, 70
TEX	goods, regions	extern tax on composite	exo,pct	none	12, 124
TIM	goods_o, dest, orig	tariff rates	exo,pct	none	122, 26, 7
TINC	regions	tax rate on labor income	exo,pct	none	125, 70
TITC	sec_std, regions	investment tax credit rate	exo,pct	none	141, 49, 52, 62
TITCH	regions	households investment tax credit rate	exo,pct	none	125, 51, 54
TIX	goods_o, dest, orig	iceberg costs	exo,pct	none	26, 7
TOB	sec_std, regions	marginal q, TOB.NC	end,pct	52	43, 55
TOBY	regions	marginal Q, raw capital sector	end,pct	53	47, 56
TOBZ	regions	marginal Q, household capital	end,pct	54	48, 57
TPA	sec_std, regions	partial adjustment q	pct,sta	55	43, 55
TPAY	regions	partial adjustment Q, raw capital sector	pct,sta	56	47, 56
TPAZ	regions	partial adjustment Q, household capital	pct,sta	57	48, 57
TRAN	regions	total transfers	end,gdp	121	129, 70, 93
TRANX	regions	exogenous transfers	exo,gdp	none	121
TXGS	sec_std, goods_e, regions	unit tax on goods to sectors	dollar,exo	none	131
TXM	goods_o, dest	tariff revenue by good	end,gdp	122	123
WAG	sec_std, regions	nominal sector wage	end,idx,logged	38	125, 15, 31, 39, 58, 70, 93
WAGE	regions	nominal wage	idx,intertemporal_constant,logged,sta	36	115, 125, 18, 32, 36, 37, 38, 59, 60, 70, 74, 78, 93
WAGG	regions	government wage	end,idx,logged	37	120, 125, 70, 93
WAGR	sec_std, regions	real sector wage	end,idx,logged	39	none
WELH	regions	human wealth	cos,gdp,intertemporal_constant	93	92, 93
WELT	regions	total wealth	end,gdp	92	71
WERR	regions	wage inflation expectation errors	exo,pct	none	36
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
ashr	currency, owner	asset split among currencies
base_jk	sec_std, regions	base J/K
base_rate_of_return_on_capital	sec_std, regions	base rate of return used in LAM costate
base_rate_of_return_on_capital_y	regions	base rate of return used in LAMY costate
base_rate_of_return_on_capital_z	regions	base rate of return used in LAMZ costate
cd_df	goods_o, regions	1 if Cobb-Douglas, 0 if CES
cd_e	sec_std, 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	sec_std, 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	sec_std, 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	sec_std, regions	sector 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
delta_y	regions	raw capital depreciation rate
delta_z	regions	household capital depreciation rate
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
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
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	sec_std, 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	sec_std, regions	subs elast, M tier
sigma_mH	regions	subs elast, M tier
sigma_mR	regions	subs elast, M tier
sigma_o	sec_std, 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, r21 in regions (21 total):

\[ \href{#OUY}{OUY(g6,r21)} = \href{#CON}{CON(g6,r21)}+\href{#IIN}{IIN(g6,r21)} +\href{#INS}{INS(r21,g6)} +\href{#GCE}{GCE(g6,r21)} +\href{#EXQ}{EXQ(g6,r21)} +\sum_{s \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(\href{#EN}{EN(s,g6,r21)}\right) } \]

Equation 3: OUY
For g8 in goods_mc, r21 in regions (84 total):

\[ \href{#OUY}{OUY(g8,r21)} = \href{#CON}{CON(g8,r21)}+\href{#IIN}{IIN(g8,r21)} +\href{#INS}{INS(r21,g8)} +\href{#GCE}{GCE(g8,r21)} +\href{#EXQ}{EXQ(g8,r21)} +\sum_{s \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(\href{#OI}{OI(s,g8,r21)}\right) } \]

Equation 4: OUY
For g5 in goods_d, r21 in regions (21 total):

\[ \href{#OUY}{OUY(g5,r21)} = \href{#IIN}{IIN(g5,r21)}+\href{#INS}{INS(r21,g5)} +\href{#GCE}{GCE(g5,r21)} +\href{#EXQ}{EXQ(g5,r21)} +\sum_{s \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(\href{#OI}{OI(s,g5,r21)}\right) } \]

Equation 5: IMQ
For g9 in goods_o, r21 in regions (126 total):

\[ \href{#IMQ}{IMQ(g9,r21)} = {(1-\href{#delta_dom}{delta\_dom(g9,r21)})} *\href{#OUY}{OUY(g9,r21)} *exp{ \left( \href{#PRS}{PRS(g9,r21)}-\href{#PMR}{PMR(g9,r21)}\right) } ^\href{#sigma_df}{sigma\_df(g9,r21)} \]

Equation 6: PIM
For d in dest, g9 in goods_o, o in orig (2646 total):

\[ \href{#PIM}{PIM(g9,d,o)} = \href{#EXCH}{EXCH(o)}+\href{#PRX}{PRX(g9,o)} -\href{#EXCH}{EXCH(d)} \]

Equation 7: IMP
For d in dest, g9 in goods_o, o in orig (2646 total):

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

Equation 8: PMQ
For d in dest, g9 in goods_o (126 total):

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

Equation 9: IMQT
For r21 in regions (21 total):

\[ \href{#IMQT}{IMQT(r21)} = \frac{\sum_{g9 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(exp{ \left(\href{#PMQ}{PMQ(g9,r21)}\right) } *\href{#IMQ}{IMQ(g9,r21)}\right) }}{exp{ \left(\href{#PRIM}{PRIM(r21)}\right) }} \]

Equation 10: EXQT
For r21 in regions (21 total):

\[ \href{#EXQT}{EXQT(r21)} = \frac{\sum_{g9 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(exp{ \left(\href{#PRX}{PRX(g9,r21)}\right) } *\href{#EXQ}{EXQ(g9,r21)}\right) }}{exp{ \left(\href{#PRIX}{PRIX(r21)}\right) }} \]

Equation 11: EXQ
For g9 in goods_o, o in orig (126 total):

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

Equation 12: PRX
For g9 in goods_o, r21 in regions (126 total):

\[ \href{#PRX}{PRX(g9,r21)} = ln{ \left( {(1+\href{#TEX}{TEX(g9,r21)})} *exp{ \left(\href{#PRS}{PRS(g9,r21)}\right) }\right) } \]

Equation 13: OUG
For g9 in goods_o, r21 in regions (126 total):

\[ \href{#OUG}{OUG(g9,r21)} = \href{#delta_dom}{delta\_dom(g9,r21)}*\href{#OUY}{OUY(g9,r21)} *exp{ \left( \href{#PRS}{PRS(g9,r21)}-\href{#PRD}{PRD(g9,r21)}\right) } ^\href{#sigma_df}{sigma\_df(g9,r21)} \]

Equation 14: OUP
For r21 in regions, s8 in sectors (126 total):

\[ \href{#OUP}{OUP(s8,r21)} = \sum_{g4 \; \text{in} \; \href{#goods}{goods}} { \left(\href{#makeinv}{makeinv(g4,s8,r21)}*\href{#OUG}{OUG(g4,r21)}\right) } \]

Equation 15: LAB
For r21 in regions, s in sec_std (126 total):

\[ \href{#LAB}{LAB(s,r21)} = exp{ \left( \href{#SHL}{SHL(r21,s)}+\href{#SHY}{SHY(s,r21)}\right) } ^{(\href{#sigma_o}{sigma\_o(s,r21)}-1)} *\href{#delta_o}{delta\_o(\text{l},s,r21)} *\href{#OUP}{OUP(s,r21)} *exp{ \left( \href{#PRP}{PRP(s,r21)}-\href{#WAG}{WAG(s,r21)}\right) } ^\href{#sigma_o}{sigma\_o(s,r21)} \]

Equation 16: ENT
For r21 in regions, s in sec_std (126 total):

\[ \href{#ENT}{ENT(s,r21)} = exp{ \left( \href{#SHEF}{SHEF(s,r21)}+\href{#SHY}{SHY(s,r21)}\right) } ^{(\href{#sigma_o}{sigma\_o(s,r21)}-1)} *\href{#delta_o}{delta\_o(\text{e},s,r21)} *\href{#OUP}{OUP(s,r21)} *exp{ \left( \href{#PRP}{PRP(s,r21)}-\href{#PRE}{PRE(s,r21)}\right) } ^\href{#sigma_o}{sigma\_o(s,r21)} \]

Equation 17: OIN
For r21 in regions, s in sec_std (126 total):

\[ \href{#OIN}{OIN(s,r21)} = exp{ \left(\href{#SHY}{SHY(s,r21)}\right) } ^{(\href{#sigma_o}{sigma\_o(s,r21)}-1)} *\href{#delta_o}{delta\_o(\text{m},s,r21)} *\href{#OUP}{OUP(s,r21)} *exp{ \left( \href{#PRP}{PRP(s,r21)}-\href{#POI}{POI(s,r21)}\right) } ^\href{#sigma_o}{sigma\_o(s,r21)} \]

Equation 18: IITL
For r21 in regions (21 total):

\[ \href{#IITL}{IITL(r21)} = exp{ \left( \href{#SHLY}{SHLY(r21)}+\href{#SHYY}{SHYY(r21)}\right) } ^{(\href{#sigma_oR}{sigma\_oR(r21)}-1)} *\href{#delta_oR}{delta\_oR(\text{l},r21)} *\href{#INVT}{INVT(r21)} *exp{ \left( \href{#PRII}{PRII(r21)}-\href{#WAGE}{WAGE(r21)}\right) } ^\href{#sigma_oR}{sigma\_oR(r21)} \]

Equation 19: IITE
For r21 in regions (21 total):

\[ \href{#IITE}{IITE(r21)} = exp{ \left(\href{#SHYY}{SHYY(r21)}\right) } ^{(\href{#sigma_oR}{sigma\_oR(r21)}-1)} *\href{#delta_oR}{delta\_oR(\text{e},r21)} *\href{#INVT}{INVT(r21)} *exp{ \left( \href{#PRII}{PRII(r21)}-\href{#PRIE}{PRIE(r21)}\right) } ^\href{#sigma_oR}{sigma\_oR(r21)} \]

Equation 20: IITO
For r21 in regions (21 total):

\[ \href{#IITO}{IITO(r21)} = exp{ \left(\href{#SHYY}{SHYY(r21)}\right) } ^{(\href{#sigma_oR}{sigma\_oR(r21)}-1)} *\href{#delta_oR}{delta\_oR(\text{m},r21)} *\href{#INVT}{INVT(r21)} *exp{ \left( \href{#PRII}{PRII(r21)}-\href{#PROI}{PROI(r21)}\right) } ^\href{#sigma_oR}{sigma\_oR(r21)} \]

Equation 21: IIN
For g6 in goods_e, r21 in regions (21 total):

\[ \href{#IIN}{IIN(g6,r21)} = \href{#delta_eR}{delta\_eR(g6,r21)}*\href{#IITE}{IITE(r21)} *exp{ \left( \href{#PRIE}{PRIE(r21)}-\href{#PRY}{PRY(g6,r21)}\right) } ^\href{#sigma_eR}{sigma\_eR(r21)} \]

Equation 22: IIN
For g7 in goods_m, r21 in regions (105 total):

\[ \href{#IIN}{IIN(g7,r21)} = \href{#delta_mR}{delta\_mR(g7,r21)}*\href{#IITO}{IITO(r21)} *exp{ \left( \href{#PROI}{PROI(r21)}-\href{#PRY}{PRY(g7,r21)}\right) } ^\href{#sigma_mR}{sigma\_mR(r21)} \]

Equation 23: LABO
For r21 in regions (21 total):

\[ \href{#LABO}{LABO(r21)} = \href{#IITL}{IITL(r21)}+\href{#CNPL}{CNPL(r21)} +\href{#GOVL}{GOVL(r21)} +\sum_{s \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(\href{#LAB}{LAB(s,r21)}\right) } \]

Equation 24: PRS
For g9 in goods_o, r21 in regions (126 total):

\[ \href{#PRS}{PRS(g9,r21)} = \href{#cd_df}{cd\_df(g9,r21)} *{(\href{#delta_dom}{delta\_dom(g9,r21)}*\href{#PRD}{PRD(g9,r21)} +{(1-\href{#delta_dom}{delta\_dom(g9,r21)})} *\href{#PMR}{PMR(g9,r21)})} +\frac{{({(1-\href{#cd_df}{cd\_df(g9,r21)})} *ln{ \left( \href{#delta_dom}{delta\_dom(g9,r21)} *exp{ \left(\href{#PRD}{PRD(g9,r21)}\right) } ^{(1-\href{#sigma_df}{sigma\_df(g9,r21)})} +{(1-\href{#delta_dom}{delta\_dom(g9,r21)})} *exp{ \left(\href{#PMR}{PMR(g9,r21)}\right) } ^{(1-\href{#sigma_df}{sigma\_df(g9,r21)})}\right) })}}{{(1 -\href{#sigma_df}{sigma\_df(g9,r21)}*{(1-\href{#cd_df}{cd\_df(g9,r21)})})}} \]

Equation 25: PRY
For g4 in goods, r21 in regions (126 total):

\[ \href{#PRY}{PRY(g4,r21)} = ln{ \left(1+\href{#TAX}{TAX(g4,r21)}\right) } +\href{#PRS}{PRS(g4,r21)} \]

Equation 26: PMR
For d in dest, g9 in goods_o (126 total):

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

Equation 27: PRIM
For r21 in regions (21 total):

\[ \href{#PRIM}{PRIM(r21)} = \sum_{g9 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(\href{#prim_weight}{prim\_weight(g9,r21)} *\href{#PMQ}{PMQ(g9,r21)}\right) } \]

Equation 28: PRIE
For r21 in regions (21 total):

\[ \href{#PRIE}{PRIE(r21)} = \href{#cd_eR}{cd\_eR(r21)} *\sum_{g6 \; \text{in} \; \href{#goods_e}{goods\_e}} { \left(\href{#delta_eR}{delta\_eR(g6,r21)}*\href{#PRY}{PRY(g6,r21)}\right) } +\frac{{({(1-\href{#cd_eR}{cd\_eR(r21)})} *ln{ \left( \sum_{g6 \; \text{in} \; \href{#goods_e}{goods\_e}} { \left(\href{#delta_eR}{delta\_eR(g6,r21)} *exp{ \left(\href{#PRY}{PRY(g6,r21)}\right) } ^{(1-\href{#sigma_eR}{sigma\_eR(r21)})}\right) }\right) })}}{{(1 -\href{#sigma_eR}{sigma\_eR(r21)}*{(1-\href{#cd_eR}{cd\_eR(r21)})})}} \]

Equation 29: PROI
For r21 in regions (21 total):

\[ \href{#PROI}{PROI(r21)} = \href{#cd_mR}{cd\_mR(r21)} *\sum_{g7 \; \text{in} \; \href{#goods_m}{goods\_m}} { \left(\href{#delta_mR}{delta\_mR(g7,r21)}*\href{#PRY}{PRY(g7,r21)}\right) } +\frac{{({(1-\href{#cd_mR}{cd\_mR(r21)})} *ln{ \left( \sum_{g7 \; \text{in} \; \href{#goods_m}{goods\_m}} { \left(\href{#delta_mR}{delta\_mR(g7,r21)} *exp{ \left(\href{#PRY}{PRY(g7,r21)}\right) } ^{(1-\href{#sigma_mR}{sigma\_mR(r21)})}\right) }\right) })}}{{(1 -\href{#sigma_mR}{sigma\_mR(r21)}*{(1-\href{#cd_mR}{cd\_mR(r21)})})}} \]

Equation 30: PRD
For g4 in goods, r21 in regions (126 total):

\[ \href{#PRD}{PRD(g4,r21)} = ln{ \left( exp{ \left( \sum_{s8 \; \text{in} \; \href{#sectors}{sectors}} { \left(\href{#makeinv}{makeinv(g4,s8,r21)}*\href{#PRP}{PRP(s8,r21)}\right) }\right) }\right) } \]

Equation 31: PRP
For r21 in regions, s in sec_std (126 total):

\[ \href{#PRP}{PRP(s,r21)} = \href{#cd_o}{cd\_o(s,r21)} *{(\href{#delta_o}{delta\_o(\text{k},s,r21)} *\href{#PRK}{PRK(s,r21)} +\href{#delta_o}{delta\_o(\text{l},s,r21)} *\href{#WAG}{WAG(s,r21)} +\href{#delta_o}{delta\_o(\text{e},s,r21)} *\href{#PRE}{PRE(s,r21)} +\href{#delta_o}{delta\_o(\text{m},s,r21)} *\href{#POI}{POI(s,r21)} -\href{#delta_o}{delta\_o(\text{l},s,r21)} *\href{#SHL}{SHL(r21,s)} -\href{#delta_o}{delta\_o(\text{k},s,r21)} *\href{#SHK}{SHK(s,r21)} -\href{#delta_o}{delta\_o(\text{e},s,r21)} *\href{#SHEF}{SHEF(s,r21)})} +\frac{{({(1-\href{#cd_o}{cd\_o(s,r21)})} *ln{ \left( \href{#delta_o}{delta\_o(\text{k},s,r21)} *exp{ \left( \href{#PRK}{PRK(s,r21)}-\href{#SHK}{SHK(s,r21)}\right) } ^{(1-\href{#sigma_o}{sigma\_o(s,r21)})} +\href{#delta_o}{delta\_o(\text{l},s,r21)} *exp{ \left( \href{#WAG}{WAG(s,r21)}-\href{#SHL}{SHL(r21,s)}\right) } ^{(1-\href{#sigma_o}{sigma\_o(s,r21)})} +\href{#delta_o}{delta\_o(\text{e},s,r21)} *exp{ \left( \href{#PRE}{PRE(s,r21)}-\href{#SHEF}{SHEF(s,r21)}\right) } ^{(1-\href{#sigma_o}{sigma\_o(s,r21)})} +\href{#delta_o}{delta\_o(\text{m},s,r21)} *exp{ \left(\href{#POI}{POI(s,r21)}\right) } ^{(1-\href{#sigma_o}{sigma\_o(s,r21)})}\right) })}}{{(1 -\href{#sigma_o}{sigma\_o(s,r21)}*{(1-\href{#cd_o}{cd\_o(s,r21)})})}} -\href{#SHY}{SHY(s,r21)} \]

Equation 32: PRII
For r21 in regions (21 total):

\[ \href{#PRII}{PRII(r21)} = \href{#cd_oR}{cd\_oR(r21)} *{(\href{#delta_oR}{delta\_oR(\text{k},r21)} *\href{#PRKY}{PRKY(r21)} +\href{#delta_oR}{delta\_oR(\text{l},r21)} *\href{#WAGE}{WAGE(r21)} +\href{#delta_oR}{delta\_oR(\text{e},r21)} *\href{#PRIE}{PRIE(r21)} +\href{#delta_oR}{delta\_oR(\text{m},r21)} *\href{#PROI}{PROI(r21)} -\href{#delta_oR}{delta\_oR(\text{l},r21)} *\href{#SHLY}{SHLY(r21)})} +\frac{{({(1-\href{#cd_oR}{cd\_oR(r21)})} *ln{ \left( \href{#delta_oR}{delta\_oR(\text{k},r21)} *exp{ \left(\href{#PRKY}{PRKY(r21)}\right) } ^{(1-\href{#sigma_oR}{sigma\_oR(r21)})} +\href{#delta_oR}{delta\_oR(\text{l},r21)} *exp{ \left( \href{#WAGE}{WAGE(r21)}-\href{#SHLY}{SHLY(r21)}\right) } ^{(1-\href{#sigma_oR}{sigma\_oR(r21)})} +\href{#delta_oR}{delta\_oR(\text{e},r21)} *exp{ \left(\href{#PRIE}{PRIE(r21)}\right) } ^{(1-\href{#sigma_oR}{sigma\_oR(r21)})} +\href{#delta_oR}{delta\_oR(\text{m},r21)} *exp{ \left(\href{#PROI}{PROI(r21)}\right) } ^{(1-\href{#sigma_oR}{sigma\_oR(r21)})}\right) })}}{{(1 -\href{#sigma_oR}{sigma\_oR(r21)}*{(1-\href{#cd_oR}{cd\_oR(r21)})})}} -\href{#SHYY}{SHYY(r21)} \]

Equation 33: PRK
For r21 in regions, s in sec_std (126 total):

\[ \href{#PRK}{PRK(s,r21)} = \href{#PRP}{PRP(s,r21)} +\frac{ln{ \left( \frac{{(\href{#delta_o}{delta\_o(\text{k},s,r21)} *\href{#OUP}{OUP(s,r21)})}}{\href{#CAP}{CAP(s,r21)}}\right) }}{\href{#sigma_o}{sigma\_o(s,r21)}} +\frac{{({(\href{#SHY}{SHY(s,r21)}+\href{#SHK}{SHK(s,r21)})} *{(\href{#sigma_o}{sigma\_o(s,r21)}-1)})}}{\href{#sigma_o}{sigma\_o(s,r21)}} \]

Equation 34: PRKY
For r21 in regions (21 total):

\[ \href{#PRKY}{PRKY(r21)} = \href{#PRII}{PRII(r21)} +\frac{ln{ \left( \frac{{(\href{#delta_oR}{delta\_oR(\text{k},r21)} *\href{#INVT}{INVT(r21)})}}{\href{#CAPY}{CAPY(r21)}}\right) }}{\href{#sigma_oR}{sigma\_oR(r21)}} +\frac{{(\href{#SHYY}{SHYY(r21)}*{(\href{#sigma_oR}{sigma\_oR(r21)}-1)})}}{\href{#sigma_oR}{sigma\_oR(r21)}} \]

Equation 35: PRKZ
For r21 in regions (21 total):

\[ \href{#PRKZ}{PRKZ(r21)} = \href{#PRCT}{PRCT(r21)} +\frac{ln{ \left( \frac{{(\href{#delta_oH}{delta\_oH(\text{k},r21)} *\href{#CONP}{CONP(r21)})}}{\href{#CAPZ}{CAPZ(r21)}}\right) }}{\href{#sigma_oH}{sigma\_oH(r21)}} +\frac{{(\href{#SHYZ}{SHYZ(r21)}*{(\href{#sigma_oH}{sigma\_oH(r21)}-1)})}}{\href{#sigma_oH}{sigma\_oH(r21)}} \]

Equation 36: WAGE
For r21 in regions (21 total):

\[ lead({\href{#WAGE}{WAGE(r21)}}) = \href{#WAGE}{WAGE(r21)} +\href{#wage_p}{wage\_p(r21)} *{(lead({\href{#PRCT}{PRCT(r21)}})-\href{#PRCT}{PRCT(r21)} +\href{#PRXX}{PRXX(r21)})} +{(1-\href{#wage_p}{wage\_p(r21)})} *{(\href{#PRCT}{PRCT(r21)}-\href{#PRCL}{PRCL(r21)})} +\href{#wage_q}{wage\_q(r21)} *{(ln{ \left(\href{#LABO}{LABO(r21)}\right) } -ln{ \left(\href{#LABX}{LABX(r21)}\right) })} +\href{#WERR}{WERR(r21)} \]

Equation 37: WAGG
For r21 in regions (21 total):

\[ \href{#WAGG}{WAGG(r21)} = \href{#WAGE}{WAGE(r21)} \]

Equation 38: WAG
For r21 in regions, s in sec_std (126 total):

\[ \href{#WAG}{WAG(s,r21)} = \href{#WAGE}{WAGE(r21)} \]

Equation 39: WAGR
For r21 in regions, s in sec_std (126 total):

\[ \href{#WAGR}{WAGR(s,r21)} = \href{#WAG}{WAG(s,r21)}-\href{#PRP}{PRP(s,r21)} \]

Equation 40: CAP
For r21 in regions, s in sec_std (126 total):

\[ lead({\href{#CAP}{CAP(s,r21)}}) = \href{#JNV}{JNV(s,r21)} +{(1-\href{#delta}{delta(s,r21)}-\href{#labgrow}{labgrow(r21)})} *\href{#CAP}{CAP(s,r21)} \]

Equation 41: CAPY
For r21 in regions (21 total):

\[ lead({\href{#CAPY}{CAPY(r21)}}) = \href{#JNVY}{JNVY(r21)} +{(1-\href{#delta_y}{delta\_y(r21)}-\href{#labgrow}{labgrow(r21)})} *\href{#CAPY}{CAPY(r21)} \]

Equation 42: CAPZ
For r21 in regions (21 total):

\[ lead({\href{#CAPZ}{CAPZ(r21)}}) = \href{#JNVZ}{JNVZ(r21)} +{(1-\href{#delta_z}{delta\_z(r21)}-\href{#labgrow}{labgrow(r21)})} *\href{#CAPZ}{CAPZ(r21)} \]

Equation 43: INV
For r21 in regions, s in sec_std (126 total):

\[ \href{#INV}{INV(s,r21)} = \frac{{({(1+.5*{(\href{#TOB}{TOB(s,r21)}-1)})}*{(\href{#TOB}{TOB(s,r21)}-1)} *\href{#CAP}{CAP(s,r21)})}}{\href{#phi}{phi(s,r21)}} *\href{#forei}{forei(s,r21)} +\frac{{({(1+.5*{(\href{#TPA}{TPA(s,r21)}-1)})}*{(\href{#TPA}{TPA(s,r21)}-1)} *\href{#CAP}{CAP(s,r21)})}}{\href{#phi}{phi(s,r21)}} *{(1-\href{#forei}{forei(s,r21)})} +\href{#SHKI}{SHKI(r21,s)} \]

Equation 44: JNV
For r21 in regions, s in sec_std (126 total):

\[ \href{#JNV}{JNV(s,r21)} = \frac{{(\href{#INV}{INV(s,r21)} +\frac{\href{#phi}{phi(s,r21)}}{2}*\href{#base_jk}{base\_jk(s,r21)}^2 *\href{#CAP}{CAP(s,r21)})}}{{(1 +\href{#phi}{phi(s,r21)}*\href{#base_jk}{base\_jk(s,r21)})}} \]

Equation 45: INVY
For r21 in regions (21 total):

\[ \href{#INVY}{INVY(r21)} = \href{#JNVY}{JNVY(r21)} *{(1 +\frac{{(\frac{\href{#phi_y}{phi\_y(r21)}}{2}*\href{#JNVY}{JNVY(r21)})}}{\href{#CAPY}{CAPY(r21)}})} \]

Equation 46: INVZ
For r21 in regions (21 total):

\[ \href{#INVZ}{INVZ(r21)} = \href{#JNVZ}{JNVZ(r21)} *{(1 +\frac{{(\frac{\href{#phi_z}{phi\_z(r21)}}{2}*\href{#JNVZ}{JNVZ(r21)})}}{\href{#CAPZ}{CAPZ(r21)}})} \]

Equation 47: JNVY
For r21 in regions (21 total):

\[ \href{#JNVY}{JNVY(r21)} = \frac{{(\href{#CAPY}{CAPY(r21)} *{(\href{#fore_i_y}{fore\_i\_y(r21)}*\href{#TOBY}{TOBY(r21)} +{(1-\href{#fore_i_y}{fore\_i\_y(r21)})}*\href{#TPAY}{TPAY(r21)} -1)})}}{\href{#phi_y}{phi\_y(r21)}} \]

Equation 48: JNVZ
For r21 in regions (21 total):

\[ \href{#JNVZ}{JNVZ(r21)} = \frac{{(\href{#CAPZ}{CAPZ(r21)} *{(\href{#fore_i_z}{fore\_i\_z(r21)}*\href{#TOBZ}{TOBZ(r21)} +{(1-\href{#fore_i_z}{fore\_i\_z(r21)})}*\href{#TPAZ}{TPAZ(r21)} -1)})}}{\href{#phi_z}{phi\_z(r21)}} \]

Equation 49: LAM
For r21 in regions, s in sec_std (126 total):

\[ lead({\href{#LAM}{LAM(s,r21)}}) = {(1+\href{#INTR}{INTR(r21)}+\href{#RISE}{RISE(s,r21)} +\href{#delta}{delta(s,r21)})} *\href{#LAM}{LAM(s,r21)} -{(1-\href{#TCOR}{TCOR(r21)})} *\href{#base_rate_of_return_on_capital}{base\_rate\_of\_return\_on\_capital(s,r21)} *exp{ \left( \href{#PRK}{PRK(s,r21)}-\href{#PRID}{PRID(r21)}\right) } -{(1-\href{#TITC}{TITC(s,r21)})} *exp{ \left( \href{#PRII}{PRII(r21)}-\href{#PRID}{PRID(r21)}\right) } *\frac{\href{#phi}{phi(s,r21)}}{2} *\frac{\href{#JNV}{JNV(s,r21)}}{\href{#CAP}{CAP(s,r21)}} ^2 \]

Equation 50: LAMY
For r21 in regions (21 total):

\[ lead({\href{#LAMY}{LAMY(r21)}}) = {(1+\href{#INTR}{INTR(r21)}+\href{#RISY}{RISY(r21)} +\href{#delta_y}{delta\_y(r21)})} *\href{#LAMY}{LAMY(r21)} -{(1-\href{#TCOR}{TCOR(r21)})} *\href{#base_rate_of_return_on_capital_y}{base\_rate\_of\_return\_on\_capital\_y(r21)} *exp{ \left( \href{#PRKY}{PRKY(r21)}-\href{#PRID}{PRID(r21)}\right) } -exp{ \left( \href{#PRII}{PRII(r21)}-\href{#PRID}{PRID(r21)}\right) } *\frac{\href{#phi_y}{phi\_y(r21)}}{2} *\frac{\href{#JNVY}{JNVY(r21)}}{\href{#CAPY}{CAPY(r21)}} ^2 \]

Equation 51: LAMZ
For r21 in regions (21 total):

\[ lead({\href{#LAMZ}{LAMZ(r21)}}) = {(1+\href{#INTR}{INTR(r21)}+\href{#RISZ}{RISZ(r21)} +\href{#delta_z}{delta\_z(r21)})} *\href{#LAMZ}{LAMZ(r21)} -\href{#base_rate_of_return_on_capital_z}{base\_rate\_of\_return\_on\_capital\_z(r21)} *exp{ \left( \href{#PRKZ}{PRKZ(r21)}-\href{#PRID}{PRID(r21)}\right) } -{(1-\href{#TITCH}{TITCH(r21)})} *exp{ \left( \href{#PRII}{PRII(r21)}-\href{#PRID}{PRID(r21)}\right) } *\frac{\href{#phi_z}{phi\_z(r21)}}{2} *\frac{\href{#JNVZ}{JNVZ(r21)}}{\href{#CAPZ}{CAPZ(r21)}} ^2 \]

Equation 52: TOB
For r21 in regions, s in sec_std (126 total):

\[ \href{#TOB}{TOB(s,r21)} = \frac{{(\href{#LAM}{LAM(s,r21)} *exp{ \left( \href{#PRID}{PRID(r21)}-\href{#PRII}{PRII(r21)}\right) })}}{{(1-\href{#TITC}{TITC(s,r21)})}} \]

Equation 53: TOBY
For r21 in regions (21 total):

\[ \href{#TOBY}{TOBY(r21)} = \href{#LAMY}{LAMY(r21)} *exp{ \left( \href{#PRID}{PRID(r21)}-\href{#PRII}{PRII(r21)}\right) } \]

Equation 54: TOBZ
For r21 in regions (21 total):

\[ \href{#TOBZ}{TOBZ(r21)} = \frac{{(\href{#LAMZ}{LAMZ(r21)} *exp{ \left( \href{#PRID}{PRID(r21)}-\href{#PRII}{PRII(r21)}\right) })}}{{(1-\href{#TITCH}{TITCH(r21)})}} \]

Equation 55: TPA
For r21 in regions, s in sec_std (126 total):

\[ lead({\href{#TPA}{TPA(s,r21)}}) = \href{#TPA}{TPA(s,r21)} +\href{#adapt}{adapt(r21)} *{(\href{#TOB}{TOB(s,r21)}-\href{#TPA}{TPA(s,r21)})} \]

Equation 56: TPAY
For r21 in regions (21 total):

\[ lead({\href{#TPAY}{TPAY(r21)}}) = \href{#TPAY}{TPAY(r21)} +\href{#adapt}{adapt(r21)} *{(\href{#TOBY}{TOBY(r21)}-\href{#TPAY}{TPAY(r21)})} \]

Equation 57: TPAZ
For r21 in regions (21 total):

\[ lead({\href{#TPAZ}{TPAZ(r21)}}) = \href{#TPAZ}{TPAZ(r21)} +\href{#adapt}{adapt(r21)} *{(\href{#TOBZ}{TOBZ(r21)}-\href{#TPAZ}{TPAZ(r21)})} \]

Equation 58: PRF
For r21 in regions, s in sec_std (126 total):

\[ \href{#PRF}{PRF(s,r21)} = \frac{{(\href{#OUP}{OUP(s,r21)} *exp{ \left(\href{#PRP}{PRP(s,r21)}\right) } -\href{#ENT}{ENT(s,r21)} *exp{ \left(\href{#PRE}{PRE(s,r21)}\right) } -\href{#LAB}{LAB(s,r21)} *exp{ \left(\href{#WAG}{WAG(s,r21)}\right) } -\href{#OIN}{OIN(s,r21)} *exp{ \left(\href{#POI}{POI(s,r21)}\right) } -\href{#delta}{delta(s,r21)}*\href{#CAP}{CAP(s,r21)} *exp{ \left(\href{#PRII}{PRII(r21)}\right) })}}{exp{ \left(\href{#PRID}{PRID(r21)}\right) }} \]

Equation 59: PRFY
For r21 in regions (21 total):

\[ \href{#PRFY}{PRFY(r21)} = \frac{{(\href{#INVT}{INVT(r21)} *exp{ \left(\href{#PRII}{PRII(r21)}\right) } -\href{#IITE}{IITE(r21)} *exp{ \left(\href{#PRIE}{PRIE(r21)}\right) } -\href{#IITL}{IITL(r21)} *exp{ \left(\href{#WAGE}{WAGE(r21)}\right) } -\href{#IITO}{IITO(r21)} *exp{ \left(\href{#PROI}{PROI(r21)}\right) } -\href{#delta_y}{delta\_y(r21)}*\href{#CAPY}{CAPY(r21)} *exp{ \left(\href{#PRII}{PRII(r21)}\right) })}}{exp{ \left(\href{#PRID}{PRID(r21)}\right) }} \]

Equation 60: PRFZ
For r21 in regions (21 total):

\[ \href{#PRFZ}{PRFZ(r21)} = \frac{{(\href{#CONP}{CONP(r21)} *exp{ \left(\href{#PRCT}{PRCT(r21)}\right) } -\href{#CNPE}{CNPE(r21)} *exp{ \left(\href{#PRCE}{PRCE(r21)}\right) } -\href{#CNPL}{CNPL(r21)} *exp{ \left(\href{#WAGE}{WAGE(r21)}\right) } -\href{#CNPO}{CNPO(r21)} *exp{ \left(\href{#PRCO}{PRCO(r21)}\right) } -\href{#delta_z}{delta\_z(r21)}*\href{#CAPZ}{CAPZ(r21)} *exp{ \left(\href{#PRII}{PRII(r21)}\right) })}}{exp{ \left(\href{#PRID}{PRID(r21)}\right) }} \]

Equation 61: PRFT
For r21 in regions (21 total):

\[ \href{#PRFT}{PRFT(r21)} = \sum_{s \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(\href{#PRF}{PRF(s,r21)}\right) } +\href{#PRFY}{PRFY(r21)} \]

Equation 62: STM
For r21 in regions, s in sec_std (126 total):

\[ \href{#STM}{STM(s,r21)} = \frac{{(\href{#LAM}{LAM(s,r21)}*\href{#CAP}{CAP(s,r21)})}}{{(1-\href{#TITC}{TITC(s,r21)})}} \]

Equation 63: STMT
For r21 in regions (21 total):

\[ \href{#STMT}{STMT(r21)} = \sum_{s \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(\href{#STM}{STM(s,r21)}\right) } \]

Equation 64: INVP
For r21 in regions (21 total):

\[ \href{#INVP}{INVP(r21)} = \sum_{s \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(\href{#INV}{INV(s,r21)}\right) } \]

Equation 65: INVT
For r21 in regions (21 total):

\[ \href{#INVT}{INVT(r21)} = \href{#INVY}{INVY(r21)}+\href{#INVZ}{INVZ(r21)} +\href{#INVP}{INVP(r21)} \]

Equation 66: PRID
For r21 in regions (21 total):

\[ \href{#PRID}{PRID(r21)} = \sum_{g4 \; \text{in} \; \href{#goods}{goods}} { \left(\href{#prid_weight}{prid\_weight(g4,r21)} *\href{#PRD}{PRD(g4,r21)}\right) } \]

Equation 67: PRIX
For r21 in regions (21 total):

\[ \href{#PRIX}{PRIX(r21)} = \sum_{g9 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(\href{#prix_weight}{prix\_weight(g9,r21)} *\href{#PRX}{PRX(g9,r21)}\right) } \]

Equation 68: OUTP
For r21 in regions (21 total):

\[ \href{#OUTP}{OUTP(r21)} = \frac{\sum_{g4 \; \text{in} \; \href{#goods}{goods}} { \left(exp{ \left(\href{#PRD}{PRD(g4,r21)}\right) } *\href{#OUG}{OUG(g4,r21)}\right) }}{exp{ \left(\href{#PRID}{PRID(r21)}\right) }} \]

Equation 69: OUTL
For r21 in regions (21 total):

\[ lead({\href{#OUTL}{OUTL(r21)}}) = \href{#OUTP}{OUTP(r21)} \]

Equation 70: INCM
For r21 in regions (21 total):

\[ \href{#INCM}{INCM(r21)} = \href{#TRAN}{TRAN(r21)}-\href{#TAXL}{TAXL(r21)} +\href{#INTR}{INTR(r21)}*\href{#BOND}{BOND(r21)} +\frac{\href{#IRAS}{IRAS(r21)}}{exp{ \left(\href{#REXN}{REXN(r21)}\right) }} +\href{#PRFZ}{PRFZ(r21)} +{(1-\href{#TCOR}{TCOR(r21)})}*\href{#PRFT}{PRFT(r21)} +\frac{{({(1-\href{#TINC}{TINC(r21)})} *{(exp{ \left(\href{#WAGE}{WAGE(r21)}\right) } *{(\href{#IITL}{IITL(r21)}+\href{#CNPL}{CNPL(r21)})} +exp{ \left(\href{#WAGG}{WAGG(r21)}\right) } *\href{#GOVL}{GOVL(r21)} +\sum_{s \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(exp{ \left(\href{#WAG}{WAG(s,r21)}\right) } *\href{#LAB}{LAB(s,r21)}\right) })})}}{exp{ \left(\href{#PRID}{PRID(r21)}\right) }} \]

Equation 71: CONP
For r21 in regions (21 total):

\[ \href{#CONP}{CONP(r21)} = \href{#fore_c}{fore\_c(r21)} *{(\href{#timepref}{timepref(r21)}+\href{#RISW}{RISW(r21)})} *\href{#WELT}{WELT(r21)} *exp{ \left( \href{#PRID}{PRID(r21)}-\href{#PRCT}{PRCT(r21)}\right) } +{(1-\href{#fore_c}{fore\_c(r21)})}*\href{#mpc}{mpc(r21)} *\href{#INCM}{INCM(r21)} *exp{ \left( \href{#PRID}{PRID(r21)}-\href{#PRCT}{PRCT(r21)}\right) } +\href{#SHKC}{SHKC(r21)} \]

Equation 72: IRAS
For o1 in owner (21 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 73: INAS
For o1 in owner (21 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 74: CNPL
For r21 in regions (21 total):

\[ \href{#CNPL}{CNPL(r21)} = exp{ \left( \href{#SHLZ}{SHLZ(r21)}+\href{#SHYZ}{SHYZ(r21)}\right) } ^{(\href{#sigma_oH}{sigma\_oH(r21)}-1)} *\href{#delta_oH}{delta\_oH(\text{l},r21)} *\href{#CONP}{CONP(r21)} *exp{ \left( \href{#PRCT}{PRCT(r21)}-\href{#WAGE}{WAGE(r21)}\right) } ^\href{#sigma_oH}{sigma\_oH(r21)} \]

Equation 75: CNPE
For r21 in regions (21 total):

\[ \href{#CNPE}{CNPE(r21)} = exp{ \left( \href{#SHEFC}{SHEFC(r21)}+\href{#SHYZ}{SHYZ(r21)}\right) } ^{(\href{#sigma_oH}{sigma\_oH(r21)}-1)} *\href{#delta_oH}{delta\_oH(\text{e},r21)} *\href{#CONP}{CONP(r21)} *exp{ \left( \href{#PRCT}{PRCT(r21)}-\href{#PRCE}{PRCE(r21)}\right) } ^\href{#sigma_oH}{sigma\_oH(r21)} \]

Equation 76: CNPO
For r21 in regions (21 total):

\[ \href{#CNPO}{CNPO(r21)} = exp{ \left(\href{#SHYZ}{SHYZ(r21)}\right) } ^{(\href{#sigma_oH}{sigma\_oH(r21)}-1)} *\href{#delta_oH}{delta\_oH(\text{m},r21)} *\href{#CONP}{CONP(r21)} *exp{ \left( \href{#PRCT}{PRCT(r21)}-\href{#PRCO}{PRCO(r21)}\right) } ^\href{#sigma_oH}{sigma\_oH(r21)} \]

Equation 77: CNPK
For r21 in regions (21 total):

\[ \href{#CNPK}{CNPK(r21)} = exp{ \left(\href{#SHYZ}{SHYZ(r21)}\right) } ^{(\href{#sigma_oH}{sigma\_oH(r21)}-1)} *\href{#delta_oH}{delta\_oH(\text{k},r21)} *\href{#CONP}{CONP(r21)} *exp{ \left( \href{#PRCT}{PRCT(r21)}-\href{#PRKZ}{PRKZ(r21)}\right) } ^\href{#sigma_oH}{sigma\_oH(r21)} \]

Equation 78: PRCT
For r21 in regions (21 total):

\[ \href{#PRCT}{PRCT(r21)} = \href{#cd_oH}{cd\_oH(r21)} *{(\href{#delta_oH}{delta\_oH(\text{k},r21)} *\href{#PRKZ}{PRKZ(r21)} +\href{#delta_oH}{delta\_oH(\text{l},r21)} *\href{#WAGE}{WAGE(r21)} +\href{#delta_oH}{delta\_oH(\text{e},r21)} *\href{#PRCE}{PRCE(r21)} +\href{#delta_oH}{delta\_oH(\text{m},r21)} *\href{#PRCO}{PRCO(r21)} -\href{#delta_oH}{delta\_oH(\text{l},r21)} *\href{#SHLZ}{SHLZ(r21)} -\href{#delta_oH}{delta\_oH(\text{e},r21)} *\href{#SHEFC}{SHEFC(r21)})} +\frac{{({(1-\href{#cd_oH}{cd\_oH(r21)})} *ln{ \left( \href{#delta_oH}{delta\_oH(\text{k},r21)} *exp{ \left(\href{#PRKZ}{PRKZ(r21)}\right) } ^{(1-\href{#sigma_oH}{sigma\_oH(r21)})} +\href{#delta_oH}{delta\_oH(\text{l},r21)} *exp{ \left( \href{#WAGE}{WAGE(r21)}-\href{#SHLZ}{SHLZ(r21)}\right) } ^{(1-\href{#sigma_oH}{sigma\_oH(r21)})} +\href{#delta_oH}{delta\_oH(\text{e},r21)} *exp{ \left( \href{#PRCE}{PRCE(r21)}-\href{#SHEFC}{SHEFC(r21)}\right) } ^{(1-\href{#sigma_oH}{sigma\_oH(r21)})} +\href{#delta_oH}{delta\_oH(\text{m},r21)} *exp{ \left(\href{#PRCO}{PRCO(r21)}\right) } ^{(1-\href{#sigma_oH}{sigma\_oH(r21)})}\right) })}}{{(1 -\href{#sigma_oH}{sigma\_oH(r21)}*{(1-\href{#cd_oH}{cd\_oH(r21)})})}} -\href{#SHYZ}{SHYZ(r21)} \]

Equation 79: PRGT
For r21 in regions (21 total):

\[ \href{#PRGT}{PRGT(r21)} = \frac{\href{#delta_oG}{delta\_oG(\text{e},r21)}}{{(\href{#delta_oG}{delta\_oG(\text{e},r21)} +\href{#delta_oG}{delta\_oG(\text{m},r21)})}} *\sum_{g6 \; \text{in} \; \href{#goods_e}{goods\_e}} { \left(\href{#delta_eG}{delta\_eG(g6,r21)}*\href{#PRY}{PRY(g6,r21)}\right) } +\frac{\href{#delta_oG}{delta\_oG(\text{m},r21)}}{{(\href{#delta_oG}{delta\_oG(\text{e},r21)} +\href{#delta_oG}{delta\_oG(\text{m},r21)})}} *\sum_{g7 \; \text{in} \; \href{#goods_m}{goods\_m}} { \left(\href{#delta_mG}{delta\_mG(g7,r21)}*\href{#PRY}{PRY(g7,r21)}\right) } \]

Equation 80: MONE
For r21 in regions (21 total):

\[ \href{#MONE}{MONE(r21)} = \href{#PRID}{PRID(r21)} +ln{ \left(\href{#OUTP}{OUTP(r21)}\right) } +\href{#int_elast}{int\_elast(r21)}*\href{#INTN}{INTN(r21)} +\href{#SHKM}{SHKM(r21)} \]

Equation 81: INTF
For r21 in regions (21 total):

\[ \href{#INTF}{INTF(r21)} = \href{#INTN}{INTN(r21)}-lead({\href{#PRID}{PRID(r21)}}) +\href{#PRID}{PRID(r21)} \]

Equation 82: INTR
For r21 in regions (21 total):

\[ \href{#INTR}{INTR(r21)} = \href{#INTF}{INTF(r21)}+\href{#RISR}{RISR(r21)} \]

Equation 83: INFP
For r21 in regions (21 total):

\[ \href{#INFP}{INFP(r21)} = \href{#PRID}{PRID(r21)}-\href{#PRDL}{PRDL(r21)} \]

Equation 84: PRCL
For r21 in regions (21 total):

\[ lead({\href{#PRCL}{PRCL(r21)}}) = \href{#PRCT}{PRCT(r21)} \]

Equation 85: PRDL
For r21 in regions (21 total):

\[ lead({\href{#PRDL}{PRDL(r21)}}) = \href{#PRID}{PRID(r21)} \]

Equation 86: GDPN
For r21 in regions (21 total):

\[ \href{#GDPN}{GDPN(r21)} = exp{ \left(\href{#PRCT}{PRCT(r21)}\right) } *\href{#CONP}{CONP(r21)} +exp{ \left(\href{#PRGT}{PRGT(r21)}\right) } *\href{#GCET}{GCET(r21)} +exp{ \left(\href{#PRII}{PRII(r21)}\right) } *\href{#INVT}{INVT(r21)} +exp{ \left(\href{#PRID}{PRID(r21)}\right) } *\href{#TBAL}{TBAL(r21)} +\sum_{g9 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(exp{ \left(\href{#PRII}{PRII(r21)}\right) } *\href{#INS}{INS(r21,g9)}\right) } \]

Equation 87: GDPR
For r21 in regions (21 total):

\[ \href{#GDPR}{GDPR(r21)} = \href{#CONP}{CONP(r21)}+\href{#GCET}{GCET(r21)} +\href{#INVT}{INVT(r21)} +\href{#TBAL}{TBAL(r21)} +\sum_{g9 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(\href{#INS}{INS(r21,g9)}\right) } \]

Equation 88: PGDP
For r21 in regions (21 total):

\[ \href{#PGDP}{PGDP(r21)} = ln{ \left(\href{#GDPN}{GDPN(r21)}\right) } -ln{ \left(\href{#GDPR}{GDPR(r21)}\right) } \]

Equation 89: GNPR
For r21 in regions (21 total):

\[ \href{#GNPR}{GNPR(r21)} = \href{#GDPR}{GDPR(r21)} +\frac{\href{#IRAS}{IRAS(r21)}}{exp{ \left(\href{#REXN}{REXN(r21)}\right) }} \]

Equation 90: CURN
For r21 in regions (21 total):

\[ \href{#CURN}{CURN(r21)} = \href{#TBAL}{TBAL(r21)} +\frac{\href{#INAS}{INAS(r21)}}{exp{ \left(\href{#REXN}{REXN(r21)}\right) }} \]

Equation 91: CURR
For r21 in regions (21 total):

\[ \href{#CURR}{CURR(r21)} = \href{#TBAU}{TBAU(r21)}+\href{#IRAS}{IRAS(r21)} \]

Equation 92: WELT
For r21 in regions (21 total):

\[ \href{#WELT}{WELT(r21)} = \href{#BOND}{BOND(r21)} +\frac{\href{#ASSU}{ASSU(r21)}}{exp{ \left(\href{#REXN}{REXN(r21)}\right) }} +\frac{{(\href{#mongdp}{mongdp(r21)} *exp{ \left(\href{#MONE}{MONE(r21)}\right) })}}{exp{ \left(\href{#PRID}{PRID(r21)}\right) }} +\href{#WELH}{WELH(r21)} +\href{#LAMY}{LAMY(r21)}*\href{#CAPY}{CAPY(r21)} +\href{#LAMZ}{LAMZ(r21)}*\href{#CAPZ}{CAPZ(r21)} +\sum_{s \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(\href{#STM}{STM(s,r21)}\right) } \]

Equation 93: WELH
For r21 in regions (21 total):

\[ lead({\href{#WELH}{WELH(r21)}}) = {(1+\href{#RISW}{RISW(r21)}+\href{#RISH}{RISH(r21)} +\href{#INTR}{INTR(r21)} -\href{#labgrow}{labgrow(r21)})} *\href{#WELH}{WELH(r21)} -\href{#TRAN}{TRAN(r21)} +\href{#TAXH}{TAXH(r21)} +\href{#TAXL}{TAXL(r21)} -\frac{{(exp{ \left(\href{#WAGE}{WAGE(r21)}\right) } *{(\href{#IITL}{IITL(r21)}+\href{#CNPL}{CNPL(r21)})} +exp{ \left(\href{#WAGG}{WAGG(r21)}\right) } *\href{#GOVL}{GOVL(r21)} +\sum_{s \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(exp{ \left(\href{#WAG}{WAG(s,r21)}\right) } *\href{#LAB}{LAB(s,r21)}\right) })}}{exp{ \left(\href{#PRID}{PRID(r21)}\right) }} \]

Equation 94: SAVI
For r21 in regions (21 total):

\[ \href{#SAVI}{SAVI(r21)} = \href{#INVT}{INVT(r21)} *exp{ \left( \href{#PRII}{PRII(r21)}-\href{#PRID}{PRID(r21)}\right) } +\frac{\href{#CURR}{CURR(r21)}}{exp{ \left(\href{#REXN}{REXN(r21)}\right) }} +\href{#DEFI}{DEFI(r21)} \]

Equation 95: SAVN
For r21 in regions (21 total):

\[ \href{#SAVN}{SAVN(r21)} = \href{#INVT}{INVT(r21)} *exp{ \left( \href{#PRII}{PRII(r21)}-\href{#PRID}{PRID(r21)}\right) } +\href{#CURN}{CURN(r21)} +\href{#DEFN}{DEFN(r21)} \]

Equation 96: SAVT
For r21 in regions (21 total):

\[ \href{#SAVT}{SAVT(r21)} = \href{#INVT}{INVT(r21)} *exp{ \left( \href{#PRII}{PRII(r21)}-\href{#PRID}{PRID(r21)}\right) } +\href{#CURN}{CURN(r21)} \]

Equation 97: TBAL
For r21 in regions (21 total):

\[ \href{#TBAL}{TBAL(r21)} = \href{#EXQT}{EXQT(r21)}-\href{#IMQT}{IMQT(r21)} \]

Equation 98: TBAU
For r21 in regions (21 total):

\[ \href{#TBAU}{TBAU(r21)} = \href{#TBAL}{TBAL(r21)} *exp{ \left(\href{#REXN}{REXN(r21)}\right) } \]

Equation 99: EXCH
For n1 in notUSA (20 total):

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

Equation 100: EXCL
For r21 in regions (21 total):

\[ lead({\href{#EXCL}{EXCL(r21)}}) = \href{#EXCH}{EXCH(r21)} \]

Equation 101: REXC
For r21 in regions (21 total):

\[ lead({\href{#REXC}{REXC(r21)}}) = \href{#REXC}{REXC(r21)}-\href{#INTR}{INTR(r21)} +\href{#INTR}{INTR(\text{USA})} +\href{#EXCR}{EXCR(r21)} \]

Equation 102: REXN
For r21 in regions (21 total):

\[ \href{#REXN}{REXN(r21)} = \href{#REXC}{REXC(r21)} \]

Equation 103: NEER
For d in dest (21 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 104: REER
For d in dest (21 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 105: ABUY
For o1 in owner (21 total):

\[ \href{#ABUY}{ABUY(o1)} = \sum_{a \; \text{in} \; \href{#abroad}{abroad}} { \left(\href{#ainv}{ainv(o1,a)}*\href{#CURR}{CURR(a)}\right) } \]

Equation 106: ASSE
For c in currency, o1 in owner (441 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 107: ASSU
For o1 in owner (21 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 108: EYGR
For r21 in regions (21 total):

\[ \href{#EYGR}{EYGR(r21)} = ln{ \left(lead({\href{#OUTP}{OUTP(r21)}})\right) } -ln{ \left(\href{#OUTP}{OUTP(r21)}\right) } \]

Equation 109: EPRC
For r21 in regions (21 total):

\[ \href{#EPRC}{EPRC(r21)} = lead({\href{#PRCT}{PRCT(r21)}})-\href{#PRCT}{PRCT(r21)} \]

Equation 110: INFL
For r21 in regions (21 total):

\[ \href{#INFL}{INFL(r21)} = \href{#PRCT}{PRCT(r21)}-\href{#PRCL}{PRCL(r21)} \]

Equation 111: PRCOL
For r21 in regions (21 total):

\[ lead({\href{#PRCOL}{PRCOL(r21)}}) = \href{#PRCO}{PRCO(r21)} \]

Equation 112: INFCL
For r21 in regions (21 total):

\[ \href{#INFCL}{INFCL(r21)} = \href{#PRCO}{PRCO(r21)}-\href{#PRCOL}{PRCOL(r21)} \]

Equation 113: GNEN
For r21 in regions (21 total):

\[ \href{#GNEN}{GNEN(r21)} = exp{ \left(\href{#PRCT}{PRCT(r21)}\right) } *\href{#CONP}{CONP(r21)} +exp{ \left(\href{#PRID}{PRID(r21)}\right) } *\href{#GCET}{GCET(r21)} +exp{ \left(\href{#PRII}{PRII(r21)}\right) } *\href{#INVT}{INVT(r21)} +\sum_{g9 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(exp{ \left(\href{#PRII}{PRII(r21)}\right) } *\href{#INS}{INS(r21,g9)}\right) } \]

Equation 114: GNER
For r21 in regions (21 total):

\[ \href{#GNER}{GNER(r21)} = \href{#CONP}{CONP(r21)}+\href{#GCET}{GCET(r21)} +\href{#INVT}{INVT(r21)} +\sum_{g9 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(\href{#INS}{INS(r21,g9)}\right) } \]

Equation 115: INTN
For r21 in regions (21 total):

\[ \href{#INTN}{INTN(r21)} = \href{#mrule_r}{mrule\_r(r21)}*\href{#INTL}{INTL(r21)} +\href{#mrule_ex}{mrule\_ex(r21)} *{(\href{#EXCH}{EXCH(r21)}-\href{#EXCL}{EXCL(r21)} -\href{#EXCX}{EXCX(r21)})} +\href{#mrule_1}{mrule\_1(r21)} *{(\href{#INFL}{INFL(r21)}-\href{#INFX}{INFX(r21)})} +\href{#mrule_2}{mrule\_2(r21)} *{(\href{#INFP}{INFP(r21)}-\href{#INFX}{INFX(r21)})} +\href{#mrule_3}{mrule\_3(r21)} *{(\href{#INFCL}{INFCL(r21)}-\href{#INFX}{INFX(r21)})} +\href{#mrule_4}{mrule\_4(r21)} *{(\href{#PRCT}{PRCT(r21)}-\href{#PTAR}{PTAR(r21)})} +\href{#mrule_5}{mrule\_5(r21)} *{(\href{#PRID}{PRID(r21)}-\href{#PTAR}{PTAR(r21)})} +\href{#mrule_6}{mrule\_6(r21)} *{(\href{#WAGE}{WAGE(r21)}-\href{#PTAR}{PTAR(r21)})} +\href{#mrule_7}{mrule\_7(r21)}*0 +\href{#mrule_8}{mrule\_8(r21)} *{(ln{ \left(\href{#OUTP}{OUTP(r21)}\right) } -ln{ \left(\href{#OUTL}{OUTL(r21)}\right) } -\href{#ROGY}{ROGY(r21)})} +\href{#mrule_9}{mrule\_9(r21)} *{(ln{ \left(\href{#OUTP}{OUTP(r21)}\right) } -ln{ \left(\href{#OUTL}{OUTL(r21)}\right) } -\href{#ROGY}{ROGY(r21)} +\href{#INFP}{INFP(r21)} -\href{#INFX}{INFX(r21)})} +\href{#mrule_10}{mrule\_10(r21)} *{(ln{ \left(\href{#GDPN}{GDPN(r21)}\right) } -\href{#ROGY}{ROGY(r21)})} +\href{#mrule_11}{mrule\_11(r21)} *{(ln{ \left(\href{#OUTP}{OUTP(r21)}\right) } +\href{#PRID}{PRID(r21)})} +\href{#mrule_12}{mrule\_12(r21)} *ln{ \left( {(\href{#OUTP}{OUTP(r21)}-\href{#TBAL}{TBAL(r21)})} *exp{ \left(\href{#PRID}{PRID(r21)}\right) }\right) } +\href{#mrule_13}{mrule\_13(r21)} *{(\href{#EPRC}{EPRC(r21)}-\href{#INFX}{INFX(r21)})} +\href{#mrule_14}{mrule\_14(r21)} *{(\href{#EYGR}{EYGR(r21)}-\href{#ROGY}{ROGY(r21)})} +\href{#mrule_15}{mrule\_15(r21)} *{(ln{ \left(\href{#GNEN}{GNEN(r21)}\right) } -\href{#ROGY}{ROGY(r21)})} +\href{#INTX}{INTX(r21)} \]

Equation 116: INTL
For r21 in regions (21 total):

\[ lead({\href{#INTL}{INTL(r21)}}) = \href{#INTN}{INTN(r21)} \]

Equation 117: GCE
For g6 in goods_e, r21 in regions (21 total):

\[ \href{#GCE}{GCE(g6,r21)} = \frac{{(\href{#delta_eG}{delta\_eG(g6,r21)} *\frac{\href{#delta_oG}{delta\_oG(\text{e},r21)}}{{(\href{#delta_oG}{delta\_oG(\text{e},r21)} +\href{#delta_oG}{delta\_oG(\text{m},r21)})}} *\href{#GOVS}{GOVS(r21)} *exp{ \left(\href{#PRGT}{PRGT(r21)}\right) })}}{exp{ \left(\href{#PRY}{PRY(g6,r21)}\right) }} \]

Equation 118: GCE
For g7 in goods_m, r21 in regions (105 total):

\[ \href{#GCE}{GCE(g7,r21)} = \frac{{(\href{#delta_mG}{delta\_mG(g7,r21)} *\frac{\href{#delta_oG}{delta\_oG(\text{m},r21)}}{{(\href{#delta_oG}{delta\_oG(\text{e},r21)} +\href{#delta_oG}{delta\_oG(\text{m},r21)})}} *\href{#GOVS}{GOVS(r21)} *exp{ \left(\href{#PRGT}{PRGT(r21)}\right) })}}{exp{ \left(\href{#PRY}{PRY(g7,r21)}\right) }} \]

Equation 119: GCET
For r21 in regions (21 total):

\[ \href{#GCET}{GCET(r21)} = \frac{\sum_{g9 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(\href{#GCE}{GCE(g9,r21)} *exp{ \left(\href{#PRY}{PRY(g9,r21)}\right) }\right) }}{exp{ \left(\href{#PRGT}{PRGT(r21)}\right) }} \]

Equation 120: GOVT
For r21 in regions (21 total):

\[ \href{#GOVT}{GOVT(r21)} = \href{#GCET}{GCET(r21)} +\href{#GOVL}{GOVL(r21)} *exp{ \left( \href{#WAGG}{WAGG(r21)}-\href{#PRID}{PRID(r21)}\right) } \]

Equation 121: TRAN
For r21 in regions (21 total):

\[ \href{#TRAN}{TRAN(r21)} = \href{#TRANX}{TRANX(r21)} +\href{#transgdp}{transgdp(r21)}*\href{#OUTP}{OUTP(r21)} \]

Equation 122: TXM
For d in dest, g9 in goods_o (126 total):

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

Equation 123: TAXM
For d in dest (21 total):

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

Equation 124: TAXX
For r21 in regions (21 total):

\[ \href{#TAXX}{TAXX(r21)} = \frac{\sum_{g9 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(\href{#TEX}{TEX(g9,r21)} *exp{ \left(\href{#PRS}{PRS(g9,r21)}\right) } *\href{#EXQ}{EXQ(g9,r21)}\right) }}{exp{ \left(\href{#PRID}{PRID(r21)}\right) }} \]

Equation 125: TAXH
For r21 in regions (21 total):

\[ \href{#TAXH}{TAXH(r21)} = \frac{{(\href{#TINC}{TINC(r21)} *{(exp{ \left(\href{#WAGE}{WAGE(r21)}\right) } *\href{#IITL}{IITL(r21)} +exp{ \left(\href{#WAGE}{WAGE(r21)}\right) } *\href{#CNPL}{CNPL(r21)} +exp{ \left(\href{#WAGG}{WAGG(r21)}\right) } *\href{#GOVL}{GOVL(r21)} +\sum_{s \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(exp{ \left(\href{#WAG}{WAG(s,r21)}\right) } *\href{#LAB}{LAB(s,r21)}\right) })} -\href{#TITCH}{TITCH(r21)} *exp{ \left(\href{#PRII}{PRII(r21)}\right) } *\href{#INVZ}{INVZ(r21)})}}{exp{ \left(\href{#PRID}{PRID(r21)}\right) }} \]

Equation 126: BOND
For r21 in regions (21 total):

\[ lead({\href{#BOND}{BOND(r21)}}) = \href{#DEFI}{DEFI(r21)} +\href{#BOND}{BOND(r21)}*{(1-\href{#labgrow}{labgrow(r21)})} \]

Equation 127: TAXL
For r21 in regions (21 total):

\[ \href{#TAXL}{TAXL(r21)} = \href{#INTR}{INTR(r21)}*\href{#BOND}{BOND(r21)} +\href{#TAXS}{TAXS(r21)} \]

Equation 128: TAXT
For r21 in regions (21 total):

\[ \href{#TAXT}{TAXT(r21)} = \href{#TAXC}{TAXC(r21)}+\href{#TAXH}{TAXH(r21)} +\href{#TAXL}{TAXL(r21)} +\href{#TAXM}{TAXM(r21)} +\href{#TAXX}{TAXX(r21)} +\href{#TAXE}{TAXE(r21)} \]

Equation 129: DEFI
For r21 in regions (21 total):

\[ \href{#DEFI}{DEFI(r21)} = \href{#GOVT}{GOVT(r21)}+\href{#TRAN}{TRAN(r21)} -\href{#TAXT}{TAXT(r21)} +\href{#INTR}{INTR(r21)}*\href{#BOND}{BOND(r21)} \]

Equation 130: DEFN
For r21 in regions (21 total):

\[ \href{#DEFN}{DEFN(r21)} = \href{#DEFI}{DEFI(r21)} +{(\href{#INTN}{INTN(r21)}-\href{#INTR}{INTR(r21)})} *\href{#BOND}{BOND(r21)} \]

Equation 131: PRT
For g6 in goods_e, r21 in regions, s in sec_std (126 total):

\[ \href{#PRT}{PRT(s,g6,r21)} = ln{ \left( exp{ \left(\href{#PRS}{PRS(g6,r21)}\right) } *{(1+\href{#TAX}{TAX(g6,r21)})} +\href{#TXGS}{TXGS(s,g6,r21)}\right) } \]

Equation 132: CON
For g6 in goods_e, r21 in regions (21 total):

\[ \href{#CON}{CON(g6,r21)} = \href{#delta_eH}{delta\_eH(g6,r21)}*\href{#CNPE}{CNPE(r21)} *exp{ \left( \href{#PRCE}{PRCE(r21)}-\href{#PRY}{PRY(g6,r21)}\right) } ^\href{#sigma_eH}{sigma\_eH(r21)} \]

Equation 133: CON
For g8 in goods_mc, r21 in regions (84 total):

\[ \href{#CON}{CON(g8,r21)} = \href{#delta_mH}{delta\_mH(g8,r21)}*\href{#CNPO}{CNPO(r21)} *exp{ \left( \href{#PRCO}{PRCO(r21)}-\href{#PRY}{PRY(g8,r21)}\right) } ^\href{#sigma_mH}{sigma\_mH(r21)} \]

Equation 134: EN
For g6 in goods_e, r21 in regions, s in sec_std (126 total):

\[ \href{#EN}{EN(s,g6,r21)} = \href{#delta_e}{delta\_e(r21,s,g6)}*\href{#ENT}{ENT(s,r21)} *exp{ \left( \href{#PRE}{PRE(s,r21)}-\href{#PRT}{PRT(s,g6,r21)}\right) } ^\href{#sigma_e}{sigma\_e(s,r21)} \]

Equation 135: OI
For g7 in goods_m, r21 in regions, s in sec_std (630 total):

\[ \href{#OI}{OI(s,g7,r21)} = \href{#delta_m}{delta\_m(r21,s,g7)}*\href{#OIN}{OIN(s,r21)} *exp{ \left( \href{#POI}{POI(s,r21)}-\href{#PRY}{PRY(g7,r21)}\right) } ^\href{#sigma_m}{sigma\_m(s,r21)} \]

Equation 136: PRE
For r21 in regions, s in sec_std (126 total):

\[ \href{#PRE}{PRE(s,r21)} = \href{#cd_e}{cd\_e(s,r21)} *\sum_{g6 \; \text{in} \; \href{#goods_e}{goods\_e}} { \left(\href{#delta_e}{delta\_e(r21,s,g6)}*\href{#PRT}{PRT(s,g6,r21)}\right) } +\frac{{({(1-\href{#cd_e}{cd\_e(s,r21)})} *ln{ \left( \sum_{g6 \; \text{in} \; \href{#goods_e}{goods\_e}} { \left(\href{#delta_e}{delta\_e(r21,s,g6)} *exp{ \left(\href{#PRT}{PRT(s,g6,r21)}\right) } ^{(1-\href{#sigma_e}{sigma\_e(s,r21)})}\right) }\right) })}}{{(1 -\href{#sigma_e}{sigma\_e(s,r21)}*{(1-\href{#cd_e}{cd\_e(s,r21)})})}} \]

Equation 137: POI
For r21 in regions, s in sec_std (126 total):

\[ \href{#POI}{POI(s,r21)} = \href{#cd_m}{cd\_m(s,r21)} *\sum_{g7 \; \text{in} \; \href{#goods_m}{goods\_m}} { \left(\href{#delta_m}{delta\_m(r21,s,g7)}*\href{#PRY}{PRY(g7,r21)}\right) } +\frac{{({(1-\href{#cd_m}{cd\_m(s,r21)})} *ln{ \left( \sum_{g7 \; \text{in} \; \href{#goods_m}{goods\_m}} { \left(\href{#delta_m}{delta\_m(r21,s,g7)} *exp{ \left(\href{#PRY}{PRY(g7,r21)}\right) } ^{(1-\href{#sigma_m}{sigma\_m(s,r21)})}\right) }\right) })}}{{(1 -\href{#sigma_m}{sigma\_m(s,r21)}*{(1-\href{#cd_m}{cd\_m(s,r21)})})}} \]

Equation 138: PRCE
For r21 in regions (21 total):

\[ \href{#PRCE}{PRCE(r21)} = \href{#cd_eH}{cd\_eH(r21)} *\sum_{g6 \; \text{in} \; \href{#goods_e}{goods\_e}} { \left(\href{#delta_eH}{delta\_eH(g6,r21)}*\href{#PRY}{PRY(g6,r21)}\right) } +\frac{{({(1-\href{#cd_eH}{cd\_eH(r21)})} *ln{ \left( \sum_{g6 \; \text{in} \; \href{#goods_e}{goods\_e}} { \left(\href{#delta_eH}{delta\_eH(g6,r21)} *exp{ \left(\href{#PRY}{PRY(g6,r21)}\right) } ^{(1-\href{#sigma_eH}{sigma\_eH(r21)})}\right) }\right) })}}{{(1 -\href{#sigma_eH}{sigma\_eH(r21)}*{(1-\href{#cd_eH}{cd\_eH(r21)})})}} \]

Equation 139: PRCO
For r21 in regions (21 total):

\[ \href{#PRCO}{PRCO(r21)} = \href{#cd_mH}{cd\_mH(r21)} *\sum_{g7 \; \text{in} \; \href{#goods_m}{goods\_m}} { \left(\href{#delta_mH}{delta\_mH(g7,r21)}*\href{#PRY}{PRY(g7,r21)}\right) } +\frac{{({(1-\href{#cd_mH}{cd\_mH(r21)})} *ln{ \left( \sum_{g7 \; \text{in} \; \href{#goods_m}{goods\_m}} { \left(\href{#delta_mH}{delta\_mH(g7,r21)} *exp{ \left(\href{#PRY}{PRY(g7,r21)}\right) } ^{(1-\href{#sigma_mH}{sigma\_mH(r21)})}\right) }\right) })}}{{(1 -\href{#sigma_mH}{sigma\_mH(r21)}*{(1-\href{#cd_mH}{cd\_mH(r21)})})}} \]

Equation 140: TAXE
For r21 in regions (21 total):

\[ \href{#TAXE}{TAXE(r21)} = \href{#RVGS}{RVGS(r21)} \]

Equation 141: TAXC
For r21 in regions (21 total):

\[ \href{#TAXC}{TAXC(r21)} = \href{#TCOR}{TCOR(r21)} *{(\sum_{s \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(\href{#PRF}{PRF(s,r21)}\right) } +\href{#PRFY}{PRFY(r21)})} +\frac{{(\sum_{g4 \; \text{in} \; \href{#goods}{goods}} { \left(\href{#TAX}{TAX(g4,r21)} *exp{ \left(\href{#PRD}{PRD(g4,r21)}\right) } *\href{#OUG}{OUG(g4,r21)}\right) } +\sum_{g9 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(\href{#TAX}{TAX(g9,r21)} *exp{ \left(\href{#PMR}{PMR(g9,r21)}\right) } *\href{#IMQ}{IMQ(g9,r21)}\right) } -\sum_{s \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(\href{#TITC}{TITC(s,r21)} *exp{ \left(\href{#PRII}{PRII(r21)}\right) } *\href{#INV}{INV(s,r21)}\right) } -\sum_{g9 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(\href{#TAX}{TAX(g9,r21)} *exp{ \left(\href{#PRS}{PRS(g9,r21)}\right) } *\href{#EXQ}{EXQ(g9,r21)}\right) })}}{exp{ \left(\href{#PRID}{PRID(r21)}\right) }} \]

G-Cubed model_6W_199