G-Cubed model_22U

Name	Elements	Description
abroad	USA, JPN, AUS, EUW, GBR, CAN, NZL, CHN, IND, VNM, OIL, ROW	used in asset calculations
currency	USA, JPN, AUS, EUW, GBR, CAN, NZL, CHN, IND, VNM, OIL, ROW	currency of assets
dest	USA, JPN, AUS, EUW, GBR, CAN, NZL, CHN, IND, VNM, OIL, ROW	alias for regions
domfor	D, F	domestic vs foreign
factors	K, L, E, M	top tier factors of production
gas_CH2	CH4	Methane
gas_CO2	CO2	Carbon dioxide
gas_FC	FC	Flurocarbons
gas_N2O	N2O	Nitrous oxide
gases	CO2, CH4, N2O, FC	Greenhouse gases
good_coal	g04	coal
good_coal_generation	g15	coal electricity generation
good_construction	g06	construction output
good_crops	g13	crops
good_electricity_distribution	g01	electricity
good_gas	g02	natural gas
good_gas_generation	g16	gas electricity generation
good_hydro_generation	g21	hydro electricity generation
good_livestock	g14	livestock
good_nondurable_manufacturing	g10	non-durable manufacturing
good_nuclear_generation	g18	nuclear electricity generation
good_oil	g05	crude oil
good_oil_generation	g17	oil electricity generation
good_oil_refining	g03	liquid fuels from oil-refining
good_other_agriculture	g08	other agriculture
good_other_generation	g22	other electricity generation
good_other_mining	g07	other mining products
good_services	g12	services
good_solar_generation	g20	solar electricity generation
good_transportation	g11	transportation
good_wind_generation	g19	wind electricity generation
goods	g01, g02, g03, g04, g05, g06, g07, g08, g09, g10, g11, g12, g13, g14, g15, g16, g17, g18, g19, g20, g21, g22	goods other than the capital-production goods Y - for firms, and Z - for households
goods_d	g09	Durable goods
goods_e	g01, g02, g03, g04, g05	energy goods
goods_g	g15, g16, g17, g18, g19, g20, g21, g22	electricity generation
goods_m	g06, g07, g08, g09, g10, g11, g12, g13, g14	material goods
goods_mc	g06, g07, g08, g10, g11, g12, g13, g14	Material nondurables
goods_n	g06, g07, g08, g09, g10, g11, g12, g13, g14, g15, g16, g17, g18, g19, g20, g21, g22	Non-energy goods
goods_o	g01, g02, g03, g04, g05, g06, g07, g08, g09, g10, g11, g12, g13, g14	ordinary goods - those with standard treatment
goods_oc	g01, g02, g03, g04, g05, g06, g07, g08, g10, g11, g12, g13, g14	Ordinary nondurables
notROW	USA, JPN, AUS, EUW, GBR, CAN, NZL, CHN, IND, VNM, OIL	used in CURR equation
notUSA	JPN, AUS, EUW, GBR, CAN, NZL, CHN, IND, VNM, OIL, ROW	used with REXC equation
orig	USA, JPN, AUS, EUW, GBR, CAN, NZL, CHN, IND, VNM, OIL, ROW	alias for regions
owner	USA, JPN, AUS, EUW, GBR, CAN, NZL, CHN, IND, VNM, OIL, ROW	owner of assets ASSE
region_AUS	AUS	Australia
region_CAN	CAN	Canada
region_CHN	CHN	China
region_EUW	EUW	Western Europe
region_GBR	GBR	UK
region_IND	IND	India
region_JPN	JPN	Japan
region_NZL	NZL	New Zealand
region_OIL	OIL	Oil-exporting economies
region_ROW	ROW	Rest of World
region_USA	USA	United States
region_VNM	VNM	Vietnam
regions	USA, JPN, AUS, EUW, GBR, CAN, NZL, CHN, IND, VNM, OIL, ROW	countries and regions
sec_ed	a01	electricity distribution
sec_std	a02, a03, a04, a05, a06, a07, a08, a09, a10, a11, a12, a13, a14, a15, a16, a17, a18, a19, a20, a21, a22	sectors with standard treatment
sector_coal	a04	coal mining
sector_coal_generation	a15	coal electricity generation
sector_construction	a06	construction
sector_crops	a13	crops
sector_durable_manufacturing	a09	durable manufacturing
sector_gas	a02	gas extraction and utilities
sector_gas_generation	a16	gas electricity generation
sector_hydro_generation	a21	hydro electricity generation
sector_livestock	a14	livestock
sector_nondurable_manufacturing	a10	non-durable manufacturing
sector_nuclear_generation	a18	nuclear electricity generation
sector_oil	a05	crude oil extraction
sector_oil_generation	a17	oil electricity generation
sector_oil_refining	a03	liquid fossil fuels
sector_other_agriculture	a08	other agriculture
sector_other_generation	a22	other electricity generation
sector_other_mining	a07	other mining
sector_services	a12	services
sector_solar_generation	a20	solar electricity generation
sector_transportation	a11	transportation
sector_wind_generation	a19	wind electricity generation
sector_YY	YY	industrial capital
sector_ZZ	ZZ	household capital
sectors	a01, a02, a03, a04, a05, a06, a07, a08, a09, a10, a11, a12, a13, a14, a15, a16, a17, a18, a19, a20, a21, a22	sectors other than the capital-production sectors Y - for firms, and Z - for households
sectors_e	a01, a02, a03, a04, a05	energy sectors
sectors_g	a15, a16, a17, a18, a19, a20, a21, a22	electricity generation sectors
sectors_m	a06, a07, a08, a09, a10, a11, a12, a13, a14	material sectors
sectors_n	a06, a07, a08, a09, a10, a11, a12, a13, a14, a15, a16, a17, a18, a19, a20, a21, a22	Non-energy sectors
sectors_o	a01, a02, a03, a04, a05, a06, a07, a08, a09, a10, a11, a12, a13, a14	non electricity generation sectors
sectors_os	a02, a03, a04, a05, a06, a07, a08, a09, a10, a11, a12, a13, a14	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	106	107
ASSE	currency, owner	assets in each currency, including own	sta,usgdp	107	107, 108, 72, 73
ASSU	regions	assets held by region, in US$	end,gdp	108	93
BCT	goods_o, dest, orig	unit border tax adjustment	dollar,exo	none	26, 7
BOND	regions	bonds	gdp,sta	134	134, 135, 137, 138, 70, 93
CAP	sec_std, regions	capital stock	gdp,sta	40	144, 33, 40, 43, 44, 49, 58, 62
CAPY	regions	raw invt capital stock	gdp,sta	41	34, 41, 45, 47, 50, 59, 93
CAPZ	regions	household capital stock	gdp,sta	42	35, 42, 46, 48, 51, 60, 93
CNPE	regions	household demand for energy	end,gdp	75	160, 60
CNPK	regions	household capital services	end,gdp	77	none
CNPL	regions	household demand for labor	end,gdp	74	132, 23, 60, 70, 94
CNPO	regions	household demand for material	end,gdp	76	161, 60
CON	goods_oc, regions	household demand for goods	end,gdp	160, 161	139, 166, 2, 3, 78
CONP	regions	national accounts consumption	end,gdp	71	120, 121, 35, 60, 74, 75, 76, 77, 87, 88
CURN	regions	domestic currency current account using nominal interest payments	end,gdp	91	96, 97
CURR	regions	USD current account using real interest payments	end,gdp	92	106, 107, 95
DEFI	regions	fiscal deficit (real interest rates)	end,gdp	137	134, 138, 95
DEFN	regions	fiscal deficit (nominal interest rates)	end,gdp	138	96
DEFX	regions	fiscal deficit shocks (real interest rates)	exo,gdp	none	none
ELE	goods_g, regions	demand for G goods	end,gdp	111	109
EMG	gases, regions	total government emissions	end,mmtgdp	149	150, 152
EMGC	regions	total government emissions of all gases	end,mmtgdp	152	none
EMGI	gases, goods_oc, regions	government emissions	end,mmtgdp	140	149
EMH	gases, regions	total household emissions	end,mmtgdp	148	150, 151
EMHC	regions	total household emissions of all gases	end,mmtgdp	151	none
EMHI	gases, goods_oc, regions	household emissions	end,mmtgdp	139	148
EMR	gases, regions	total region emissions	end,mmtgdp	150	154
EMRC	regions	total region emissions of all gases	end,mmtgdp	154	none
EMS	gases, regions	total emissions of sectors	end,mmtgdp	147	150, 153
EMSC	regions	total sectoral emissions of all gases	end,mmtgdp	153	none
EMSI	gases, sec_std, goods_oc, regions	sector input emissions	end,mmtgdp	141, 142	146
EMSK	gases, sec_std, regions	sector capital emissions	end,mmtgdp	144	146
EMSL	gases, sec_std, regions	sector labor emissions	end,mmtgdp	143	146
EMSO	gases, sec_std, regions	sector output emissions	end,mmtgdp	145	146
EMST	gases, sec_std, regions	sector emissions	end,mmtgdp	146	147
EN	sec_std, goods_e, regions	sector demand for energy goods	end,gdp	162	141, 166, 2
ENT	sec_std, regions	sector demand for energy	end,gdp	16	162, 58
EPRC	regions	expected consumer price inflation rate	end,intertemporal_constant,pct	116	122
ETAXH	gases, goods_oc, regions	nominal final demand emission tax	dollar,exo	none	158, 159, 160, 161, 166
ETAXI	gases, sec_std, goods_oc, regions	nominal sector input emissions tax	dollar,exo	none	157, 166
EXCH	regions	exchange rate - US$ per unit of region currency	idx,logged,stl	1, 100	101, 104, 122, 6
EXCL	regions	exchange rate - US$ per unit of region currency - lagged	idx,lagged,logged,sta	101	122
EXCR	regions	country risk premium relative to US	exo,pct	none	102
EXCX	regions	exchange rate target percentage change	exo,pct	none	122
EXQ	goods_o, regions	exports, EXP.xx	end,gdp	11	10, 131, 133, 2, 3, 4
EXQT	regions	value of exports at source	end,gdp	10	98
EYGR	regions	expected output growth	end,intertemporal_constant,pct	115	122
FDEN	goods_e, regions	final demand for energy goods	end,gdp	78	none
GCE	goods_o, regions	government purchases of goods and services	end,gdp	124, 125	126, 140, 2, 3, 4
GCET	regions	national accounts government spending excluding labor	end,gdp	126	120, 121, 127, 87, 88
GDPN	regions	GDP, nominal	end,gdp	87	122, 89
GDPR	regions	GDP, real	end,gdp	88	89, 90
GNEN	regions	GNE, nominal	end,gdp	120	122
GNER	regions	GNE, real	end,gdp	121	none
GNPR	regions	gross national product	end,gdp	90	none
GOVL	regions	labor used by government	exo,gdp	none	127, 132, 23, 70, 94
GOVS	regions	government spending excluding labor	exo,gdp	none	124, 125
GOVT	regions	national accounts government spending including labor	end,gdp	127	137
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	132, 23, 59, 70, 94
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, 129, 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	133, 7, 8, 9
IMQT	regions	value of imports at destination	end,gdp	9	98
INAS	regions	nominal USD net interest payments on foreign assets	end,gdp	73	91
INCM	regions	after tax household income	end,gdp	70	71
INFCL	regions	household materials inflation rate	end,pct	119	122
INFL	regions	consumer price inflation	end,pct	117	122
INFP	regions	output price inflation	end,pct	84	122
INFX	regions	inflation target	exo,pct	none	122
INS	regions, goods_o	shocks to aggregate investment demand	exo,gdp	none	120, 121, 2, 3, 4, 87, 88
INTF	regions	risk free interest rate, short-run, real	end,pct	82	83
INTL	regions	interest rate, short-run, nominal - lagged	lagged,pct,sta	123	122
INTN	regions	interest rate, short (policy), nominal	pct,stl	122	123, 138, 73, 81, 82
INTR	regions	risk adjusted interest rate, short-run, real	end,pct	83	102, 135, 137, 138, 49, 50, 51, 70, 72, 94
INTX	regions	shock to interest rate target	exo,pct	none	122
INV	sec_std, regions	raw investment	end,gdp	43	133, 44, 64
INVP	regions	total investment by standard sectors	end,gdp	64	65
INVT	regions	total investment including by households	end,gdp	65	120, 121, 18, 19, 20, 34, 59, 87, 88, 95, 96, 97
INVY	regions	raw investment	end,gdp	45	65
INVZ	regions	household investment	end,gdp	46	132, 65
IRAS	regions	real USD net interest payments on foreign assets	end,gdp	72	70, 90, 92
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	132, 143, 23, 58, 70, 94
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 a unit of capital in the raw capital sector	cos,pct	50	50, 53, 93
LAMZ	regions	marginal value of a unit of household capital	cos,pct	51	51, 54, 93
LGDPN	regions	GDP, nominal	exo,nomusdbillion	none	none
LGDPR	regions	GDP, real	exo,realusdbillion	none	none
MONE	regions	money demand	end,gdp,logged	81	93
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	104	none
OI	sec_std, goods_m, regions	sector demand for material goods	end,gdp	163	142, 166, 3, 4
OIN	sec_std, regions	sector demand for materials	end,gdp	17	163, 58
OUG	goods, regions	domestic supply of goods	end,gdp	110, 13	133, 14, 68
OUP	sectors, regions	domestic production	end,gdp	14	111, 145, 15, 16, 17, 33, 58
OUTL	regions	aggregate output (lagged)	gdp,lagged,sta	69	122
OUTP	regions	aggregate output	ets,gdp	68	115, 122, 128, 69, 81
OUTX	regions	shock to output target	exo,pct	none	none
OUY	goods, regions	composite supply	end,gdp	109, 2, 3, 4	110, 13, 5
PED	regions	Price of GWh before CECs	end,idx,logged	113	114
PGDP	regions	GDP implicit price deflator	end,idx,logged	89	none
PIM	goods_o, dest, orig	landed price of imports	end,idx,logged	6	129, 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	133, 24, 5, 7
POI	sec_std, regions	sector price of materials	end,idx,logged	165	163, 17, 31, 58
PRCE	regions	household price of energy	end,idx,logged	158	160, 60, 75, 79
PRCL	regions	aggregate price of consumer goods lagged	idx,lagged,logged,sta	85	117, 36
PRCO	regions	household price of material	end,idx,logged	159	118, 119, 161, 60, 76, 79
PRCOL	regions	household price of material - lagged	idx,lagged,logged,sta	118	119
PRCT	regions	aggregate price of consumer goods	ets,idx,logged	79	116, 117, 120, 122, 35, 36, 60, 71, 74, 75, 76, 77, 85, 87
PRD	goods, regions	post-tax price of goods	end,idx,logged	30	112, 13, 133, 24, 66, 68
PRDL	regions	weighted price of domestic output lag	idx,lagged,logged,sta	86	84
PRDX	regions	shock to weighted price of domestic output	exo,pct	none	none
PRE	sec_std, regions	sector price of energy	end,idx,logged	164	16, 162, 31, 58
PRF	sec_std, regions	short run profits	end,gdp	58	133, 61
PRFT	regions	total economywide profits	end,gdp	61	70
PRFY	regions	profits on raw capital sector	end,gdp	59	133, 61
PRFZ	regions	imputed short run profits on household capital	end,gdp	60	70
PRGT	regions	aggregate price of government goods	end,idx,logged	80	124, 125, 126, 87
PRID	regions	weighted price of domestic output	ets,idx,logged	66	100, 120, 122, 127, 129, 131, 132, 133, 157, 158, 159, 160, 161, 166, 49, 50, 51, 52, 53, 54, 58, 59, 60, 68, 70, 71, 81, 82, 84, 86, 87, 93, 94, 95, 96, 97
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	120, 132, 133, 18, 19, 20, 34, 49, 50, 51, 52, 53, 54, 58, 59, 60, 87, 95, 96, 97
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 raw capital sector rental price	end,idx,logged	34	32, 50
PRKZ	regions	implicit household rental price	end,idx,logged	35	51, 77, 79
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	114, 31	111, 15, 16, 17, 30, 33, 39, 58
PRS	goods, regions	producer price of composite	end,idx,logged	112, 24	12, 13, 131, 133, 25, 5
PRT	sec_std, goods, regions	sector-specific input price	end,idx,logged	155, 156, 157	162, 163, 164, 165
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	111, 113, 124, 125, 126, 155, 156, 157, 158, 159, 160, 161, 21, 22, 28, 29, 80
PTAR	regions	price level target	exo,idx,logged	none	122
RB10	regions	interest rate, 10-year, real	end,pct	none	none
REER	regions	effective real exchange rate, FC/domestic	end,idx,logged	105	none
REXC	regions	real exchange rate - US$ per unit of region currency	cos,idx,intertemporal_constant,logged	102	102, 103
REXN	regions	real exchange rate with capital controls	end,idx,logged	103	100, 105, 107, 108, 70, 72, 73, 90, 91, 93, 95, 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	94
RISR	regions	risk premium in the yield curve	del,exo	none	83
RISW	regions	Blanchard probability of death	del,exo	none	71, 94
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	122
SAVI	regions	real domestic saving using real interest rates	end,gdp	95	none
SAVN	regions	real domestic saving using nominal interest rates	end,gdp	96	none
SAVT	regions	domestic non-government saving using nominal interest rates	end,gdp	97	none
SHADOWETAXH	gases, goods_oc, regions	nominal shadow household consumption emissions tax	dollar,exo	none	158, 159, 160, 161
SHADOWETAXI	gases, sec_std, goods_oc, regions	nominal shadow sector input emissions tax	dollar,exo	none	157
SHEF	sec_std, regions	autonomous energy efficiency improvements	exo,pct	none	16, 31
SHEFC	regions	consumption autonomous energy efficiency improvements	exo,pct	none	75, 79
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	81
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, 79
SHY	sectors, regions	shock to total factor productivity	exo,pct	none	111, 113, 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, 79
STM	sec_std, regions	stock market value	end,gdp	62	63, 93
STMT	regions	total stock market value	end,gdp	63	none
TAX	goods, regions	sales tax on composite	exo,pct	none	133, 25
TAXC	regions	revenue from sales and company taxes	end,gdp	133	136
TAXE	regions	revenue from emissions taxes	end,gdp	166	136
TAXH	regions	revenue from taxes on wages	end,gdp	132	136, 94
TAXL	regions	revenue from lump-sum taxes	end,gdp	135	136, 70, 94
TAXM	regions	tariff revenue	end,gdp	130	136
TAXS	regions	exogenous lump sum tax	exo,gdp	none	135
TAXT	regions	total revenue	end,gdp	136	137
TAXX	regions	external tax revenue	end,gdp	131	136
TBAL	regions	trade surplus, domestic currency	end,gdp	98	122, 87, 88, 91, 99
TBAU	regions	trade surplus, USD	end,gdp	99	92
TCOR	regions	tax rate on corporate profits	exo,pct	none	133, 49, 50, 70
TEX	goods, regions	extern tax on composite	exo,pct	none	12, 131
TIM	goods_o, dest, orig	tariff rates	exo,pct	none	129, 26, 7
TINC	regions	tax rate on labor income	exo,pct	none	132, 70
TITC	sec_std, regions	investment tax credit rate	exo,pct	none	133, 49, 52, 62
TITCH	regions	households investment tax credit rate	exo,pct	none	132, 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, households	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, households	pct,sta	57	48, 57
TRAN	regions	total transfers	end,gdp	128	137, 70, 94
TRANX	regions	exogenous transfers	exo,gdp	none	128
TXM	goods_o, dest	tariff revenue by good	end,gdp	129	130
WAG	sec_std, regions	nominal sector wage	end,idx,logged	38	132, 15, 31, 39, 58, 70, 94
WAGE	regions	nominal wage	idx,intertemporal_constant,logged,sta	36	122, 132, 18, 32, 36, 37, 38, 59, 60, 70, 74, 79, 94
WAGG	regions	government wage	end,idx,logged	37	127, 132, 70, 94
WAGR	sec_std, regions	real sector wage	end,idx,logged	39	none
WELH	regions	human wealth	cos,gdp,intertemporal_constant	94	93, 94
WELT	regions	total wealth	end,gdp	93	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_ed	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_ed	regions, goods_g	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
government_emission_intensity	gases, goods_oc, regions	emissions intensity for government
household_emission_intensity	gases, goods_oc, regions	emissions intensity for households
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
sector_capital_emission_intensity	gases, sec_std, regions	sector capital emissions intensity
sector_input_emission_intensity	gases, sec_std, goods_oc, regions	sector input good emissions intensity
sector_labor_emission_intensity	gases, sec_std, regions	sector labor emissions intensity
sector_output_emission_intensity	gases, sec_std, regions	sector output emissions intensity
sigma_df	goods_o, regions	elasticity of substitution between domestic and foreign sources
sigma_e	sec_std, regions	subs elast, E tier
sigma_ed	regions	elasticity of substitution in the electricity distributio sector production function - G 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 g28 in goods_e, r12 in regions (60 total):

\[ \href{#OUY}{OUY(g28,r12)} = \href{#CON}{CON(g28,r12)}+\href{#IIN}{IIN(g28,r12)} +\href{#INS}{INS(r12,g28)} +\href{#GCE}{GCE(g28,r12)} +\href{#EXQ}{EXQ(g28,r12)} +\sum_{s1 \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(\href{#EN}{EN(s1,g28,r12)}\right) } \]

Equation 3: OUY
For g31 in goods_mc, r12 in regions (96 total):

\[ \href{#OUY}{OUY(g31,r12)} = \href{#CON}{CON(g31,r12)}+\href{#IIN}{IIN(g31,r12)} +\href{#INS}{INS(r12,g31)} +\href{#GCE}{GCE(g31,r12)} +\href{#EXQ}{EXQ(g31,r12)} +\sum_{s1 \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(\href{#OI}{OI(s1,g31,r12)}\right) } \]

Equation 4: OUY
For g27 in goods_d, r12 in regions (12 total):

\[ \href{#OUY}{OUY(g27,r12)} = \href{#IIN}{IIN(g27,r12)}+\href{#INS}{INS(r12,g27)} +\href{#GCE}{GCE(g27,r12)} +\href{#EXQ}{EXQ(g27,r12)} +\sum_{s1 \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(\href{#OI}{OI(s1,g27,r12)}\right) } \]

Equation 5: IMQ
For g33 in goods_o, r12 in regions (168 total):

\[ \href{#IMQ}{IMQ(g33,r12)} = {(1-\href{#delta_dom}{delta\_dom(g33,r12)})} *\href{#OUY}{OUY(g33,r12)} *exp{ \left( \href{#PRS}{PRS(g33,r12)}-\href{#PMR}{PMR(g33,r12)}\right) } ^\href{#sigma_df}{sigma\_df(g33,r12)} \]

Equation 6: PIM
For d in dest, g33 in goods_o, o in orig (2016 total):

\[ \href{#PIM}{PIM(g33,d,o)} = \href{#EXCH}{EXCH(o)}+\href{#PRX}{PRX(g33,o)} -\href{#EXCH}{EXCH(d)} \]

Equation 7: IMP
For d in dest, g33 in goods_o, o in orig (2016 total):

\[ \href{#IMP}{IMP(g33,d,o)} = \href{#delta_ff}{delta\_ff(g33,d,o)}*\href{#IMQ}{IMQ(g33,d)} *{(\href{#BCT}{BCT(g33,d,o)} +{(1 +\href{#TIM}{TIM(g33,d,o)}+\href{#TIX}{TIX(g33,d,o)})} *exp{ \left( \href{#PIM}{PIM(g33,d,o)}-\href{#PMR}{PMR(g33,d)}\right) })} ^{(-\href{#sigma_ff}{sigma\_ff(g33,d)})} +\href{#IMPX}{IMPX(g33,d,o)} \]

Equation 8: PMQ
For d in dest, g33 in goods_o (168 total):

\[ \href{#PMQ}{PMQ(g33,d)} = ln{ \left( \frac{\sum_{o \; \text{in} \; \href{#orig}{orig}} { \left(\href{#IMP}{IMP(g33,d,o)} *exp{ \left(\href{#PIM}{PIM(g33,d,o)}\right) }\right) }}{\href{#IMQ}{IMQ(g33,d)}}\right) } \]

Equation 9: IMQT
For r12 in regions (12 total):

\[ \href{#IMQT}{IMQT(r12)} = \frac{\sum_{g33 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(exp{ \left(\href{#PMQ}{PMQ(g33,r12)}\right) } *\href{#IMQ}{IMQ(g33,r12)}\right) }}{exp{ \left(\href{#PRIM}{PRIM(r12)}\right) }} \]

Equation 10: EXQT
For r12 in regions (12 total):

\[ \href{#EXQT}{EXQT(r12)} = \frac{\sum_{g33 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(exp{ \left(\href{#PRX}{PRX(g33,r12)}\right) } *\href{#EXQ}{EXQ(g33,r12)}\right) }}{exp{ \left(\href{#PRIX}{PRIX(r12)}\right) }} \]

Equation 11: EXQ
For g33 in goods_o, o in orig (168 total):

\[ \href{#EXQ}{EXQ(g33,o)} = \sum_{d \; \text{in} \; \href{#dest}{dest}} { \left(\href{#IMP}{IMP(g33,d,o)}\right) } \]

Equation 12: PRX
For g33 in goods_o, r12 in regions (168 total):

\[ \href{#PRX}{PRX(g33,r12)} = ln{ \left( {(1+\href{#TEX}{TEX(g33,r12)})} *exp{ \left(\href{#PRS}{PRS(g33,r12)}\right) }\right) } \]

Equation 13: OUG
For g33 in goods_o, r12 in regions (168 total):

\[ \href{#OUG}{OUG(g33,r12)} = \href{#delta_dom}{delta\_dom(g33,r12)}*\href{#OUY}{OUY(g33,r12)} *exp{ \left( \href{#PRS}{PRS(g33,r12)}-\href{#PRD}{PRD(g33,r12)}\right) } ^\href{#sigma_df}{sigma\_df(g33,r12)} \]

Equation 14: OUP
For r12 in regions, s25 in sectors (264 total):

\[ \href{#OUP}{OUP(s25,r12)} = \sum_{g26 \; \text{in} \; \href{#goods}{goods}} { \left(\href{#makeinv}{makeinv(g26,s25,r12)}*\href{#OUG}{OUG(g26,r12)}\right) } \]

Equation 15: LAB
For r12 in regions, s1 in sec_std (252 total):

\[ \href{#LAB}{LAB(s1,r12)} = exp{ \left( \href{#SHL}{SHL(r12,s1)}+\href{#SHY}{SHY(s1,r12)}\right) } ^{(\href{#sigma_o}{sigma\_o(s1,r12)}-1)} *\href{#delta_o}{delta\_o(\text{l},s1,r12)} *\href{#OUP}{OUP(s1,r12)} *exp{ \left( \href{#PRP}{PRP(s1,r12)}-\href{#WAG}{WAG(s1,r12)}\right) } ^\href{#sigma_o}{sigma\_o(s1,r12)} \]

Equation 16: ENT
For r12 in regions, s1 in sec_std (252 total):

\[ \href{#ENT}{ENT(s1,r12)} = exp{ \left( \href{#SHEF}{SHEF(s1,r12)}+\href{#SHY}{SHY(s1,r12)}\right) } ^{(\href{#sigma_o}{sigma\_o(s1,r12)}-1)} *\href{#delta_o}{delta\_o(\text{e},s1,r12)} *\href{#OUP}{OUP(s1,r12)} *exp{ \left( \href{#PRP}{PRP(s1,r12)}-\href{#PRE}{PRE(s1,r12)}\right) } ^\href{#sigma_o}{sigma\_o(s1,r12)} \]

Equation 17: OIN
For r12 in regions, s1 in sec_std (252 total):

\[ \href{#OIN}{OIN(s1,r12)} = exp{ \left(\href{#SHY}{SHY(s1,r12)}\right) } ^{(\href{#sigma_o}{sigma\_o(s1,r12)}-1)} *\href{#delta_o}{delta\_o(\text{m},s1,r12)} *\href{#OUP}{OUP(s1,r12)} *exp{ \left( \href{#PRP}{PRP(s1,r12)}-\href{#POI}{POI(s1,r12)}\right) } ^\href{#sigma_o}{sigma\_o(s1,r12)} \]

Equation 18: IITL
For r12 in regions (12 total):

\[ \href{#IITL}{IITL(r12)} = exp{ \left( \href{#SHLY}{SHLY(r12)}+\href{#SHYY}{SHYY(r12)}\right) } ^{(\href{#sigma_oR}{sigma\_oR(r12)}-1)} *\href{#delta_oR}{delta\_oR(\text{l},r12)} *\href{#INVT}{INVT(r12)} *exp{ \left( \href{#PRII}{PRII(r12)}-\href{#WAGE}{WAGE(r12)}\right) } ^\href{#sigma_oR}{sigma\_oR(r12)} \]

Equation 19: IITE
For r12 in regions (12 total):

\[ \href{#IITE}{IITE(r12)} = exp{ \left(\href{#SHYY}{SHYY(r12)}\right) } ^{(\href{#sigma_oR}{sigma\_oR(r12)}-1)} *\href{#delta_oR}{delta\_oR(\text{e},r12)} *\href{#INVT}{INVT(r12)} *exp{ \left( \href{#PRII}{PRII(r12)}-\href{#PRIE}{PRIE(r12)}\right) } ^\href{#sigma_oR}{sigma\_oR(r12)} \]

Equation 20: IITO
For r12 in regions (12 total):

\[ \href{#IITO}{IITO(r12)} = exp{ \left(\href{#SHYY}{SHYY(r12)}\right) } ^{(\href{#sigma_oR}{sigma\_oR(r12)}-1)} *\href{#delta_oR}{delta\_oR(\text{m},r12)} *\href{#INVT}{INVT(r12)} *exp{ \left( \href{#PRII}{PRII(r12)}-\href{#PROI}{PROI(r12)}\right) } ^\href{#sigma_oR}{sigma\_oR(r12)} \]

Equation 21: IIN
For g28 in goods_e, r12 in regions (60 total):

\[ \href{#IIN}{IIN(g28,r12)} = \href{#delta_eR}{delta\_eR(g28,r12)}*\href{#IITE}{IITE(r12)} *exp{ \left( \href{#PRIE}{PRIE(r12)}-\href{#PRY}{PRY(g28,r12)}\right) } ^\href{#sigma_eR}{sigma\_eR(r12)} \]

Equation 22: IIN
For g30 in goods_m, r12 in regions (108 total):

\[ \href{#IIN}{IIN(g30,r12)} = \href{#delta_mR}{delta\_mR(g30,r12)}*\href{#IITO}{IITO(r12)} *exp{ \left( \href{#PROI}{PROI(r12)}-\href{#PRY}{PRY(g30,r12)}\right) } ^\href{#sigma_mR}{sigma\_mR(r12)} \]

Equation 23: LABO
For r12 in regions (12 total):

\[ \href{#LABO}{LABO(r12)} = \href{#IITL}{IITL(r12)}+\href{#CNPL}{CNPL(r12)} +\href{#GOVL}{GOVL(r12)} +\sum_{s1 \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(\href{#LAB}{LAB(s1,r12)}\right) } \]

Equation 24: PRS
For g33 in goods_o, r12 in regions (168 total):

\[ \href{#PRS}{PRS(g33,r12)} = \href{#cd_df}{cd\_df(g33,r12)} *{(\href{#delta_dom}{delta\_dom(g33,r12)}*\href{#PRD}{PRD(g33,r12)} +{(1-\href{#delta_dom}{delta\_dom(g33,r12)})} *\href{#PMR}{PMR(g33,r12)})} +\frac{{({(1-\href{#cd_df}{cd\_df(g33,r12)})} *ln{ \left( \href{#delta_dom}{delta\_dom(g33,r12)} *exp{ \left(\href{#PRD}{PRD(g33,r12)}\right) } ^{(1-\href{#sigma_df}{sigma\_df(g33,r12)})} +{(1-\href{#delta_dom}{delta\_dom(g33,r12)})} *exp{ \left(\href{#PMR}{PMR(g33,r12)}\right) } ^{(1-\href{#sigma_df}{sigma\_df(g33,r12)})}\right) })}}{{(1 -\href{#sigma_df}{sigma\_df(g33,r12)} *{(1-\href{#cd_df}{cd\_df(g33,r12)})})}} \]

Equation 25: PRY
For g26 in goods, r12 in regions (264 total):

\[ \href{#PRY}{PRY(g26,r12)} = ln{ \left(1+\href{#TAX}{TAX(g26,r12)}\right) } +\href{#PRS}{PRS(g26,r12)} \]

Equation 26: PMR
For d in dest, g33 in goods_o (168 total):

\[ \href{#PMR}{PMR(g33,d)} = 0.0 +\href{#cd_ff}{cd\_ff(g33,d)} *\sum_{o \; \text{in} \; \href{#orig}{orig}} { \left(\href{#delta_ff}{delta\_ff(g33,d,o)} *ln{ \left( \href{#BCT}{BCT(g33,d,o)} +{(1 +\href{#TIM}{TIM(g33,d,o)}+\href{#TIX}{TIX(g33,d,o)})} *exp{ \left(\href{#PIM}{PIM(g33,d,o)}\right) }\right) }\right) } +\frac{{({(1-\href{#cd_ff}{cd\_ff(g33,d)})} *ln{ \left( \sum_{o \; \text{in} \; \href{#orig}{orig}} { \left(\href{#delta_ff}{delta\_ff(g33,d,o)} *{(\href{#BCT}{BCT(g33,d,o)} +{(1 +\href{#TIM}{TIM(g33,d,o)}+\href{#TIX}{TIX(g33,d,o)})} *exp{ \left(\href{#PIM}{PIM(g33,d,o)}\right) })} ^{(1-\href{#sigma_ff}{sigma\_ff(g33,d)})}\right) }\right) })}}{{(1 -\href{#sigma_ff}{sigma\_ff(g33,d)}*{(1-\href{#cd_ff}{cd\_ff(g33,d)})})}} \]

Equation 27: PRIM
For r12 in regions (12 total):

\[ \href{#PRIM}{PRIM(r12)} = \sum_{g33 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(\href{#prim_weight}{prim\_weight(g33,r12)} *\href{#PMQ}{PMQ(g33,r12)}\right) } \]

Equation 28: PRIE
For r12 in regions (12 total):

\[ \href{#PRIE}{PRIE(r12)} = \href{#cd_eR}{cd\_eR(r12)} *\sum_{g28 \; \text{in} \; \href{#goods_e}{goods\_e}} { \left(\href{#delta_eR}{delta\_eR(g28,r12)}*\href{#PRY}{PRY(g28,r12)}\right) } +\frac{{({(1-\href{#cd_eR}{cd\_eR(r12)})} *ln{ \left( \sum_{g28 \; \text{in} \; \href{#goods_e}{goods\_e}} { \left(\href{#delta_eR}{delta\_eR(g28,r12)} *exp{ \left(\href{#PRY}{PRY(g28,r12)}\right) } ^{(1-\href{#sigma_eR}{sigma\_eR(r12)})}\right) }\right) })}}{{(1 -\href{#sigma_eR}{sigma\_eR(r12)}*{(1-\href{#cd_eR}{cd\_eR(r12)})})}} \]

Equation 29: PROI
For r12 in regions (12 total):

\[ \href{#PROI}{PROI(r12)} = \href{#cd_mR}{cd\_mR(r12)} *\sum_{g30 \; \text{in} \; \href{#goods_m}{goods\_m}} { \left(\href{#delta_mR}{delta\_mR(g30,r12)}*\href{#PRY}{PRY(g30,r12)}\right) } +\frac{{({(1-\href{#cd_mR}{cd\_mR(r12)})} *ln{ \left( \sum_{g30 \; \text{in} \; \href{#goods_m}{goods\_m}} { \left(\href{#delta_mR}{delta\_mR(g30,r12)} *exp{ \left(\href{#PRY}{PRY(g30,r12)}\right) } ^{(1-\href{#sigma_mR}{sigma\_mR(r12)})}\right) }\right) })}}{{(1 -\href{#sigma_mR}{sigma\_mR(r12)}*{(1-\href{#cd_mR}{cd\_mR(r12)})})}} \]

Equation 30: PRD
For g26 in goods, r12 in regions (264 total):

\[ \href{#PRD}{PRD(g26,r12)} = ln{ \left( exp{ \left( \sum_{s25 \; \text{in} \; \href{#sectors}{sectors}} { \left(\href{#makeinv}{makeinv(g26,s25,r12)}*\href{#PRP}{PRP(s25,r12)}\right) }\right) }\right) } \]

Equation 31: PRP
For r12 in regions, s1 in sec_std (252 total):

\[ \href{#PRP}{PRP(s1,r12)} = \href{#cd_o}{cd\_o(s1,r12)} *{(\href{#delta_o}{delta\_o(\text{k},s1,r12)} *\href{#PRK}{PRK(s1,r12)} +\href{#delta_o}{delta\_o(\text{l},s1,r12)} *\href{#WAG}{WAG(s1,r12)} +\href{#delta_o}{delta\_o(\text{e},s1,r12)} *\href{#PRE}{PRE(s1,r12)} +\href{#delta_o}{delta\_o(\text{m},s1,r12)} *\href{#POI}{POI(s1,r12)} -\href{#delta_o}{delta\_o(\text{l},s1,r12)} *\href{#SHL}{SHL(r12,s1)} -\href{#delta_o}{delta\_o(\text{k},s1,r12)} *\href{#SHK}{SHK(s1,r12)} -\href{#delta_o}{delta\_o(\text{e},s1,r12)} *\href{#SHEF}{SHEF(s1,r12)})} +\frac{{({(1-\href{#cd_o}{cd\_o(s1,r12)})} *ln{ \left( \href{#delta_o}{delta\_o(\text{k},s1,r12)} *exp{ \left( \href{#PRK}{PRK(s1,r12)}-\href{#SHK}{SHK(s1,r12)}\right) } ^{(1-\href{#sigma_o}{sigma\_o(s1,r12)})} +\href{#delta_o}{delta\_o(\text{l},s1,r12)} *exp{ \left( \href{#WAG}{WAG(s1,r12)}-\href{#SHL}{SHL(r12,s1)}\right) } ^{(1-\href{#sigma_o}{sigma\_o(s1,r12)})} +\href{#delta_o}{delta\_o(\text{e},s1,r12)} *exp{ \left( \href{#PRE}{PRE(s1,r12)}-\href{#SHEF}{SHEF(s1,r12)}\right) } ^{(1-\href{#sigma_o}{sigma\_o(s1,r12)})} +\href{#delta_o}{delta\_o(\text{m},s1,r12)} *exp{ \left(\href{#POI}{POI(s1,r12)}\right) } ^{(1-\href{#sigma_o}{sigma\_o(s1,r12)})}\right) })}}{{(1 -\href{#sigma_o}{sigma\_o(s1,r12)}*{(1-\href{#cd_o}{cd\_o(s1,r12)})})}} -\href{#SHY}{SHY(s1,r12)} \]

Equation 32: PRII
For r12 in regions (12 total):

\[ \href{#PRII}{PRII(r12)} = \href{#cd_oR}{cd\_oR(r12)} *{(\href{#delta_oR}{delta\_oR(\text{k},r12)} *\href{#PRKY}{PRKY(r12)} +\href{#delta_oR}{delta\_oR(\text{l},r12)} *\href{#WAGE}{WAGE(r12)} +\href{#delta_oR}{delta\_oR(\text{e},r12)} *\href{#PRIE}{PRIE(r12)} +\href{#delta_oR}{delta\_oR(\text{m},r12)} *\href{#PROI}{PROI(r12)} -\href{#delta_oR}{delta\_oR(\text{l},r12)} *\href{#SHLY}{SHLY(r12)})} +\frac{{({(1-\href{#cd_oR}{cd\_oR(r12)})} *ln{ \left( \href{#delta_oR}{delta\_oR(\text{k},r12)} *exp{ \left(\href{#PRKY}{PRKY(r12)}\right) } ^{(1-\href{#sigma_oR}{sigma\_oR(r12)})} +\href{#delta_oR}{delta\_oR(\text{l},r12)} *exp{ \left( \href{#WAGE}{WAGE(r12)}-\href{#SHLY}{SHLY(r12)}\right) } ^{(1-\href{#sigma_oR}{sigma\_oR(r12)})} +\href{#delta_oR}{delta\_oR(\text{e},r12)} *exp{ \left(\href{#PRIE}{PRIE(r12)}\right) } ^{(1-\href{#sigma_oR}{sigma\_oR(r12)})} +\href{#delta_oR}{delta\_oR(\text{m},r12)} *exp{ \left(\href{#PROI}{PROI(r12)}\right) } ^{(1-\href{#sigma_oR}{sigma\_oR(r12)})}\right) })}}{{(1 -\href{#sigma_oR}{sigma\_oR(r12)}*{(1-\href{#cd_oR}{cd\_oR(r12)})})}} -\href{#SHYY}{SHYY(r12)} \]

Equation 33: PRK
For r12 in regions, s1 in sec_std (252 total):

\[ \href{#PRK}{PRK(s1,r12)} = \href{#PRP}{PRP(s1,r12)} +\frac{ln{ \left( \frac{{(\href{#delta_o}{delta\_o(\text{k},s1,r12)} *\href{#OUP}{OUP(s1,r12)})}}{\href{#CAP}{CAP(s1,r12)}}\right) }}{\href{#sigma_o}{sigma\_o(s1,r12)}} +\frac{{({(\href{#SHY}{SHY(s1,r12)}+\href{#SHK}{SHK(s1,r12)})} *{(\href{#sigma_o}{sigma\_o(s1,r12)}-1)})}}{\href{#sigma_o}{sigma\_o(s1,r12)}} \]

Equation 34: PRKY
For r12 in regions (12 total):

\[ \href{#PRKY}{PRKY(r12)} = \href{#PRII}{PRII(r12)} +\frac{ln{ \left( \frac{{(\href{#delta_oR}{delta\_oR(\text{k},r12)} *\href{#INVT}{INVT(r12)})}}{\href{#CAPY}{CAPY(r12)}}\right) }}{\href{#sigma_oR}{sigma\_oR(r12)}} +\frac{{(\href{#SHYY}{SHYY(r12)}*{(\href{#sigma_oR}{sigma\_oR(r12)}-1)})}}{\href{#sigma_oR}{sigma\_oR(r12)}} \]

Equation 35: PRKZ
For r12 in regions (12 total):

\[ \href{#PRKZ}{PRKZ(r12)} = \href{#PRCT}{PRCT(r12)} +\frac{ln{ \left( \frac{{(\href{#delta_oH}{delta\_oH(\text{k},r12)} *\href{#CONP}{CONP(r12)})}}{\href{#CAPZ}{CAPZ(r12)}}\right) }}{\href{#sigma_oH}{sigma\_oH(r12)}} +\frac{{(\href{#SHYZ}{SHYZ(r12)}*{(\href{#sigma_oH}{sigma\_oH(r12)}-1)})}}{\href{#sigma_oH}{sigma\_oH(r12)}} \]

Equation 36: WAGE
For r12 in regions (12 total):

\[ lead({\href{#WAGE}{WAGE(r12)}}) = \href{#WAGE}{WAGE(r12)} +\href{#wage_p}{wage\_p(r12)} *{(lead({\href{#PRCT}{PRCT(r12)}})-\href{#PRCT}{PRCT(r12)} +\href{#PRXX}{PRXX(r12)})} +{(1-\href{#wage_p}{wage\_p(r12)})} *{(\href{#PRCT}{PRCT(r12)}-\href{#PRCL}{PRCL(r12)})} +\href{#wage_q}{wage\_q(r12)} *{(ln{ \left(\href{#LABO}{LABO(r12)}\right) } -ln{ \left(\href{#LABX}{LABX(r12)}\right) })} +\href{#WERR}{WERR(r12)} \]

Equation 37: WAGG
For r12 in regions (12 total):

\[ \href{#WAGG}{WAGG(r12)} = \href{#WAGE}{WAGE(r12)} \]

Equation 38: WAG
For r12 in regions, s1 in sec_std (252 total):

\[ \href{#WAG}{WAG(s1,r12)} = \href{#WAGE}{WAGE(r12)} \]

Equation 39: WAGR
For r12 in regions, s1 in sec_std (252 total):

\[ \href{#WAGR}{WAGR(s1,r12)} = \href{#WAG}{WAG(s1,r12)}-\href{#PRP}{PRP(s1,r12)} \]

Equation 40: CAP
For r12 in regions, s1 in sec_std (252 total):

\[ lead({\href{#CAP}{CAP(s1,r12)}}) = \href{#JNV}{JNV(s1,r12)} +{(1-\href{#delta}{delta(s1,r12)}-\href{#labgrow}{labgrow(r12)})} *\href{#CAP}{CAP(s1,r12)} \]

Equation 41: CAPY
For r12 in regions (12 total):

\[ lead({\href{#CAPY}{CAPY(r12)}}) = \href{#JNVY}{JNVY(r12)} +{(1-\href{#delta_y}{delta\_y(r12)}-\href{#labgrow}{labgrow(r12)})} *\href{#CAPY}{CAPY(r12)} \]

Equation 42: CAPZ
For r12 in regions (12 total):

\[ lead({\href{#CAPZ}{CAPZ(r12)}}) = \href{#JNVZ}{JNVZ(r12)} +{(1-\href{#delta_z}{delta\_z(r12)}-\href{#labgrow}{labgrow(r12)})} *\href{#CAPZ}{CAPZ(r12)} \]

Equation 43: INV
For r12 in regions, s1 in sec_std (252 total):

\[ \href{#INV}{INV(s1,r12)} = \frac{{({(1+.5*{(\href{#TOB}{TOB(s1,r12)}-1)})}*{(\href{#TOB}{TOB(s1,r12)}-1)} *\href{#CAP}{CAP(s1,r12)})}}{\href{#phi}{phi(s1,r12)}} *\href{#forei}{forei(s1,r12)} +\frac{{({(1+.5*{(\href{#TPA}{TPA(s1,r12)}-1)})}*{(\href{#TPA}{TPA(s1,r12)}-1)} *\href{#CAP}{CAP(s1,r12)})}}{\href{#phi}{phi(s1,r12)}} *{(1-\href{#forei}{forei(s1,r12)})} +\href{#SHKI}{SHKI(r12,s1)} \]

Equation 44: JNV
For r12 in regions, s1 in sec_std (252 total):

\[ \href{#JNV}{JNV(s1,r12)} = \frac{{(\href{#INV}{INV(s1,r12)} +\frac{\href{#phi}{phi(s1,r12)}}{2}*\href{#base_jk}{base\_jk(s1,r12)}^2 *\href{#CAP}{CAP(s1,r12)})}}{{(1 +\href{#phi}{phi(s1,r12)}*\href{#base_jk}{base\_jk(s1,r12)})}} \]

Equation 45: INVY
For r12 in regions (12 total):

\[ \href{#INVY}{INVY(r12)} = \href{#JNVY}{JNVY(r12)} *{(1 +\frac{{(\frac{\href{#phi_y}{phi\_y(r12)}}{2}*\href{#JNVY}{JNVY(r12)})}}{\href{#CAPY}{CAPY(r12)}})} \]

Equation 46: INVZ
For r12 in regions (12 total):

\[ \href{#INVZ}{INVZ(r12)} = \href{#JNVZ}{JNVZ(r12)} *{(1 +\frac{{(\frac{\href{#phi_z}{phi\_z(r12)}}{2}*\href{#JNVZ}{JNVZ(r12)})}}{\href{#CAPZ}{CAPZ(r12)}})} \]

Equation 47: JNVY
For r12 in regions (12 total):

\[ \href{#JNVY}{JNVY(r12)} = \frac{{(\href{#CAPY}{CAPY(r12)} *{(\href{#fore_i_y}{fore\_i\_y(r12)}*\href{#TOBY}{TOBY(r12)} +{(1-\href{#fore_i_y}{fore\_i\_y(r12)})}*\href{#TPAY}{TPAY(r12)} -1)})}}{\href{#phi_y}{phi\_y(r12)}} \]

Equation 48: JNVZ
For r12 in regions (12 total):

\[ \href{#JNVZ}{JNVZ(r12)} = \frac{{(\href{#CAPZ}{CAPZ(r12)} *{(\href{#fore_i_z}{fore\_i\_z(r12)}*\href{#TOBZ}{TOBZ(r12)} +{(1-\href{#fore_i_z}{fore\_i\_z(r12)})}*\href{#TPAZ}{TPAZ(r12)} -1)})}}{\href{#phi_z}{phi\_z(r12)}} \]

Equation 49: LAM
For r12 in regions, s1 in sec_std (252 total):

\[ lead({\href{#LAM}{LAM(s1,r12)}}) = {(1+\href{#INTR}{INTR(r12)}+\href{#RISE}{RISE(s1,r12)} +\href{#delta}{delta(s1,r12)})} *\href{#LAM}{LAM(s1,r12)} -{(1-\href{#TCOR}{TCOR(r12)})} *\href{#base_rate_of_return_on_capital}{base\_rate\_of\_return\_on\_capital(s1,r12)} *exp{ \left( \href{#PRK}{PRK(s1,r12)}-\href{#PRID}{PRID(r12)}\right) } -{(1-\href{#TITC}{TITC(s1,r12)})} *exp{ \left( \href{#PRII}{PRII(r12)}-\href{#PRID}{PRID(r12)}\right) } *\frac{\href{#phi}{phi(s1,r12)}}{2} *\frac{\href{#JNV}{JNV(s1,r12)}}{\href{#CAP}{CAP(s1,r12)}} ^2 \]

Equation 50: LAMY
For r12 in regions (12 total):

\[ lead({\href{#LAMY}{LAMY(r12)}}) = {(1+\href{#INTR}{INTR(r12)}+\href{#RISY}{RISY(r12)} +\href{#delta_y}{delta\_y(r12)})} *\href{#LAMY}{LAMY(r12)} -{(1-\href{#TCOR}{TCOR(r12)})} *\href{#base_rate_of_return_on_capital_y}{base\_rate\_of\_return\_on\_capital\_y(r12)} *exp{ \left( \href{#PRKY}{PRKY(r12)}-\href{#PRID}{PRID(r12)}\right) } -exp{ \left( \href{#PRII}{PRII(r12)}-\href{#PRID}{PRID(r12)}\right) } *\frac{\href{#phi_y}{phi\_y(r12)}}{2} *\frac{\href{#JNVY}{JNVY(r12)}}{\href{#CAPY}{CAPY(r12)}} ^2 \]

Equation 51: LAMZ
For r12 in regions (12 total):

\[ lead({\href{#LAMZ}{LAMZ(r12)}}) = {(1+\href{#INTR}{INTR(r12)}+\href{#RISZ}{RISZ(r12)} +\href{#delta_z}{delta\_z(r12)})} *\href{#LAMZ}{LAMZ(r12)} -\href{#base_rate_of_return_on_capital_z}{base\_rate\_of\_return\_on\_capital\_z(r12)} *exp{ \left( \href{#PRKZ}{PRKZ(r12)}-\href{#PRID}{PRID(r12)}\right) } -{(1-\href{#TITCH}{TITCH(r12)})} *exp{ \left( \href{#PRII}{PRII(r12)}-\href{#PRID}{PRID(r12)}\right) } *\frac{\href{#phi_z}{phi\_z(r12)}}{2} *\frac{\href{#JNVZ}{JNVZ(r12)}}{\href{#CAPZ}{CAPZ(r12)}} ^2 \]

Equation 52: TOB
For r12 in regions, s1 in sec_std (252 total):

\[ \href{#TOB}{TOB(s1,r12)} = \frac{{(\href{#LAM}{LAM(s1,r12)} *exp{ \left( \href{#PRID}{PRID(r12)}-\href{#PRII}{PRII(r12)}\right) })}}{{(1-\href{#TITC}{TITC(s1,r12)})}} \]

Equation 53: TOBY
For r12 in regions (12 total):

\[ \href{#TOBY}{TOBY(r12)} = \href{#LAMY}{LAMY(r12)} *exp{ \left( \href{#PRID}{PRID(r12)}-\href{#PRII}{PRII(r12)}\right) } \]

Equation 54: TOBZ
For r12 in regions (12 total):

\[ \href{#TOBZ}{TOBZ(r12)} = \frac{{(\href{#LAMZ}{LAMZ(r12)} *exp{ \left( \href{#PRID}{PRID(r12)}-\href{#PRII}{PRII(r12)}\right) })}}{{(1-\href{#TITCH}{TITCH(r12)})}} \]

Equation 55: TPA
For r12 in regions, s1 in sec_std (252 total):

\[ lead({\href{#TPA}{TPA(s1,r12)}}) = \href{#TPA}{TPA(s1,r12)} +\href{#adapt}{adapt(r12)} *{(\href{#TOB}{TOB(s1,r12)}-\href{#TPA}{TPA(s1,r12)})} \]

Equation 56: TPAY
For r12 in regions (12 total):

\[ lead({\href{#TPAY}{TPAY(r12)}}) = \href{#TPAY}{TPAY(r12)} +\href{#adapt}{adapt(r12)} *{(\href{#TOBY}{TOBY(r12)}-\href{#TPAY}{TPAY(r12)})} \]

Equation 57: TPAZ
For r12 in regions (12 total):

\[ lead({\href{#TPAZ}{TPAZ(r12)}}) = \href{#TPAZ}{TPAZ(r12)} +\href{#adapt}{adapt(r12)} *{(\href{#TOBZ}{TOBZ(r12)}-\href{#TPAZ}{TPAZ(r12)})} \]

Equation 58: PRF
For r12 in regions, s1 in sec_std (252 total):

\[ \href{#PRF}{PRF(s1,r12)} = \frac{{(\href{#OUP}{OUP(s1,r12)} *exp{ \left(\href{#PRP}{PRP(s1,r12)}\right) } -\href{#ENT}{ENT(s1,r12)} *exp{ \left(\href{#PRE}{PRE(s1,r12)}\right) } -\href{#LAB}{LAB(s1,r12)} *exp{ \left(\href{#WAG}{WAG(s1,r12)}\right) } -\href{#OIN}{OIN(s1,r12)} *exp{ \left(\href{#POI}{POI(s1,r12)}\right) } -\href{#delta}{delta(s1,r12)}*\href{#CAP}{CAP(s1,r12)} *exp{ \left(\href{#PRII}{PRII(r12)}\right) })}}{exp{ \left(\href{#PRID}{PRID(r12)}\right) }} \]

Equation 59: PRFY
For r12 in regions (12 total):

\[ \href{#PRFY}{PRFY(r12)} = \frac{{(\href{#INVT}{INVT(r12)} *exp{ \left(\href{#PRII}{PRII(r12)}\right) } -\href{#IITE}{IITE(r12)} *exp{ \left(\href{#PRIE}{PRIE(r12)}\right) } -\href{#IITL}{IITL(r12)} *exp{ \left(\href{#WAGE}{WAGE(r12)}\right) } -\href{#IITO}{IITO(r12)} *exp{ \left(\href{#PROI}{PROI(r12)}\right) } -\href{#delta_y}{delta\_y(r12)}*\href{#CAPY}{CAPY(r12)} *exp{ \left(\href{#PRII}{PRII(r12)}\right) })}}{exp{ \left(\href{#PRID}{PRID(r12)}\right) }} \]

Equation 60: PRFZ
For r12 in regions (12 total):

\[ \href{#PRFZ}{PRFZ(r12)} = \frac{{(\href{#CONP}{CONP(r12)} *exp{ \left(\href{#PRCT}{PRCT(r12)}\right) } -\href{#CNPE}{CNPE(r12)} *exp{ \left(\href{#PRCE}{PRCE(r12)}\right) } -\href{#CNPL}{CNPL(r12)} *exp{ \left(\href{#WAGE}{WAGE(r12)}\right) } -\href{#CNPO}{CNPO(r12)} *exp{ \left(\href{#PRCO}{PRCO(r12)}\right) } -\href{#delta_z}{delta\_z(r12)}*\href{#CAPZ}{CAPZ(r12)} *exp{ \left(\href{#PRII}{PRII(r12)}\right) })}}{exp{ \left(\href{#PRID}{PRID(r12)}\right) }} \]

Equation 61: PRFT
For r12 in regions (12 total):

\[ \href{#PRFT}{PRFT(r12)} = \sum_{s1 \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(\href{#PRF}{PRF(s1,r12)}\right) } +\href{#PRFY}{PRFY(r12)} \]

Equation 62: STM
For r12 in regions, s1 in sec_std (252 total):

\[ \href{#STM}{STM(s1,r12)} = \frac{{(\href{#LAM}{LAM(s1,r12)}*\href{#CAP}{CAP(s1,r12)})}}{{(1-\href{#TITC}{TITC(s1,r12)})}} \]

Equation 63: STMT
For r12 in regions (12 total):

\[ \href{#STMT}{STMT(r12)} = \sum_{s1 \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(\href{#STM}{STM(s1,r12)}\right) } \]

Equation 64: INVP
For r12 in regions (12 total):

\[ \href{#INVP}{INVP(r12)} = \sum_{s1 \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(\href{#INV}{INV(s1,r12)}\right) } \]

Equation 65: INVT
For r12 in regions (12 total):

\[ \href{#INVT}{INVT(r12)} = \href{#INVY}{INVY(r12)}+\href{#INVZ}{INVZ(r12)} +\href{#INVP}{INVP(r12)} \]

Equation 66: PRID
For r12 in regions (12 total):

\[ \href{#PRID}{PRID(r12)} = \sum_{g26 \; \text{in} \; \href{#goods}{goods}} { \left(\href{#prid_weight}{prid\_weight(g26,r12)} *\href{#PRD}{PRD(g26,r12)}\right) } \]

Equation 67: PRIX
For r12 in regions (12 total):

\[ \href{#PRIX}{PRIX(r12)} = \sum_{g33 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(\href{#prix_weight}{prix\_weight(g33,r12)} *\href{#PRX}{PRX(g33,r12)}\right) } \]

Equation 68: OUTP
For r12 in regions (12 total):

\[ \href{#OUTP}{OUTP(r12)} = \frac{\sum_{g26 \; \text{in} \; \href{#goods}{goods}} { \left(exp{ \left(\href{#PRD}{PRD(g26,r12)}\right) } *\href{#OUG}{OUG(g26,r12)}\right) }}{exp{ \left(\href{#PRID}{PRID(r12)}\right) }} \]

Equation 69: OUTL
For r12 in regions (12 total):

\[ lead({\href{#OUTL}{OUTL(r12)}}) = \href{#OUTP}{OUTP(r12)} \]

Equation 70: INCM
For r12 in regions (12 total):

\[ \href{#INCM}{INCM(r12)} = \href{#TRAN}{TRAN(r12)}-\href{#TAXL}{TAXL(r12)} +\href{#INTR}{INTR(r12)}*\href{#BOND}{BOND(r12)} +\frac{\href{#IRAS}{IRAS(r12)}}{exp{ \left(\href{#REXN}{REXN(r12)}\right) }} +\href{#PRFZ}{PRFZ(r12)} +{(1-\href{#TCOR}{TCOR(r12)})}*\href{#PRFT}{PRFT(r12)} +\frac{{({(1-\href{#TINC}{TINC(r12)})} *{(exp{ \left(\href{#WAGE}{WAGE(r12)}\right) } *{(\href{#IITL}{IITL(r12)}+\href{#CNPL}{CNPL(r12)})} +exp{ \left(\href{#WAGG}{WAGG(r12)}\right) } *\href{#GOVL}{GOVL(r12)} +\sum_{s1 \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(exp{ \left(\href{#WAG}{WAG(s1,r12)}\right) } *\href{#LAB}{LAB(s1,r12)}\right) })})}}{exp{ \left(\href{#PRID}{PRID(r12)}\right) }} \]

Equation 71: CONP
For r12 in regions (12 total):

\[ \href{#CONP}{CONP(r12)} = \href{#fore_c}{fore\_c(r12)} *{(\href{#timepref}{timepref(r12)}+\href{#RISW}{RISW(r12)})} *\href{#WELT}{WELT(r12)} *exp{ \left( \href{#PRID}{PRID(r12)}-\href{#PRCT}{PRCT(r12)}\right) } +{(1-\href{#fore_c}{fore\_c(r12)})}*\href{#mpc}{mpc(r12)} *\href{#INCM}{INCM(r12)} *exp{ \left( \href{#PRID}{PRID(r12)}-\href{#PRCT}{PRCT(r12)}\right) } +\href{#SHKC}{SHKC(r12)} \]

Equation 72: IRAS
For o1 in owner (12 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 (12 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 r12 in regions (12 total):

\[ \href{#CNPL}{CNPL(r12)} = exp{ \left( \href{#SHLZ}{SHLZ(r12)}+\href{#SHYZ}{SHYZ(r12)}\right) } ^{(\href{#sigma_oH}{sigma\_oH(r12)}-1)} *\href{#delta_oH}{delta\_oH(\text{l},r12)} *\href{#CONP}{CONP(r12)} *exp{ \left( \href{#PRCT}{PRCT(r12)}-\href{#WAGE}{WAGE(r12)}\right) } ^\href{#sigma_oH}{sigma\_oH(r12)} \]

Equation 75: CNPE
For r12 in regions (12 total):

\[ \href{#CNPE}{CNPE(r12)} = exp{ \left( \href{#SHEFC}{SHEFC(r12)}+\href{#SHYZ}{SHYZ(r12)}\right) } ^{(\href{#sigma_oH}{sigma\_oH(r12)}-1)} *\href{#delta_oH}{delta\_oH(\text{e},r12)} *\href{#CONP}{CONP(r12)} *exp{ \left( \href{#PRCT}{PRCT(r12)}-\href{#PRCE}{PRCE(r12)}\right) } ^\href{#sigma_oH}{sigma\_oH(r12)} \]

Equation 76: CNPO
For r12 in regions (12 total):

\[ \href{#CNPO}{CNPO(r12)} = exp{ \left(\href{#SHYZ}{SHYZ(r12)}\right) } ^{(\href{#sigma_oH}{sigma\_oH(r12)}-1)} *\href{#delta_oH}{delta\_oH(\text{m},r12)} *\href{#CONP}{CONP(r12)} *exp{ \left( \href{#PRCT}{PRCT(r12)}-\href{#PRCO}{PRCO(r12)}\right) } ^\href{#sigma_oH}{sigma\_oH(r12)} \]

Equation 77: CNPK
For r12 in regions (12 total):

\[ \href{#CNPK}{CNPK(r12)} = exp{ \left(\href{#SHYZ}{SHYZ(r12)}\right) } ^{(\href{#sigma_oH}{sigma\_oH(r12)}-1)} *\href{#delta_oH}{delta\_oH(\text{k},r12)} *\href{#CONP}{CONP(r12)} *exp{ \left( \href{#PRCT}{PRCT(r12)}-\href{#PRKZ}{PRKZ(r12)}\right) } ^\href{#sigma_oH}{sigma\_oH(r12)} \]

Equation 78: FDEN
For g28 in goods_e, r12 in regions (60 total):

\[ \href{#FDEN}{FDEN(g28,r12)} = \href{#CON}{CON(g28,r12)} \]

Equation 79: PRCT
For r12 in regions (12 total):

\[ \href{#PRCT}{PRCT(r12)} = \href{#cd_oH}{cd\_oH(r12)} *{(\href{#delta_oH}{delta\_oH(\text{k},r12)} *\href{#PRKZ}{PRKZ(r12)} +\href{#delta_oH}{delta\_oH(\text{l},r12)} *\href{#WAGE}{WAGE(r12)} +\href{#delta_oH}{delta\_oH(\text{e},r12)} *\href{#PRCE}{PRCE(r12)} +\href{#delta_oH}{delta\_oH(\text{m},r12)} *\href{#PRCO}{PRCO(r12)} -\href{#delta_oH}{delta\_oH(\text{l},r12)} *\href{#SHLZ}{SHLZ(r12)} -\href{#delta_oH}{delta\_oH(\text{e},r12)} *\href{#SHEFC}{SHEFC(r12)})} +\frac{{({(1-\href{#cd_oH}{cd\_oH(r12)})} *ln{ \left( \href{#delta_oH}{delta\_oH(\text{k},r12)} *exp{ \left(\href{#PRKZ}{PRKZ(r12)}\right) } ^{(1-\href{#sigma_oH}{sigma\_oH(r12)})} +\href{#delta_oH}{delta\_oH(\text{l},r12)} *exp{ \left( \href{#WAGE}{WAGE(r12)}-\href{#SHLZ}{SHLZ(r12)}\right) } ^{(1-\href{#sigma_oH}{sigma\_oH(r12)})} +\href{#delta_oH}{delta\_oH(\text{e},r12)} *exp{ \left( \href{#PRCE}{PRCE(r12)}-\href{#SHEFC}{SHEFC(r12)}\right) } ^{(1-\href{#sigma_oH}{sigma\_oH(r12)})} +\href{#delta_oH}{delta\_oH(\text{m},r12)} *exp{ \left(\href{#PRCO}{PRCO(r12)}\right) } ^{(1-\href{#sigma_oH}{sigma\_oH(r12)})}\right) })}}{{(1 -\href{#sigma_oH}{sigma\_oH(r12)}*{(1-\href{#cd_oH}{cd\_oH(r12)})})}} -\href{#SHYZ}{SHYZ(r12)} \]

Equation 80: PRGT
For r12 in regions (12 total):

\[ \href{#PRGT}{PRGT(r12)} = \frac{\href{#delta_oG}{delta\_oG(\text{e},r12)}}{{(\href{#delta_oG}{delta\_oG(\text{e},r12)} +\href{#delta_oG}{delta\_oG(\text{m},r12)})}} *\sum_{g28 \; \text{in} \; \href{#goods_e}{goods\_e}} { \left(\href{#delta_eG}{delta\_eG(g28,r12)}*\href{#PRY}{PRY(g28,r12)}\right) } +\frac{\href{#delta_oG}{delta\_oG(\text{m},r12)}}{{(\href{#delta_oG}{delta\_oG(\text{e},r12)} +\href{#delta_oG}{delta\_oG(\text{m},r12)})}} *\sum_{g30 \; \text{in} \; \href{#goods_m}{goods\_m}} { \left(\href{#delta_mG}{delta\_mG(g30,r12)}*\href{#PRY}{PRY(g30,r12)}\right) } \]

Equation 81: MONE
For r12 in regions (12 total):

\[ \href{#MONE}{MONE(r12)} = \href{#PRID}{PRID(r12)} +ln{ \left(\href{#OUTP}{OUTP(r12)}\right) } +\href{#int_elast}{int\_elast(r12)}*\href{#INTN}{INTN(r12)} +\href{#SHKM}{SHKM(r12)} \]

Equation 82: INTF
For r12 in regions (12 total):

\[ \href{#INTF}{INTF(r12)} = \href{#INTN}{INTN(r12)}-lead({\href{#PRID}{PRID(r12)}}) +\href{#PRID}{PRID(r12)} \]

Equation 83: INTR
For r12 in regions (12 total):

\[ \href{#INTR}{INTR(r12)} = \href{#INTF}{INTF(r12)}+\href{#RISR}{RISR(r12)} \]

Equation 84: INFP
For r12 in regions (12 total):

\[ \href{#INFP}{INFP(r12)} = \href{#PRID}{PRID(r12)}-\href{#PRDL}{PRDL(r12)} \]

Equation 85: PRCL
For r12 in regions (12 total):

\[ lead({\href{#PRCL}{PRCL(r12)}}) = \href{#PRCT}{PRCT(r12)} \]

Equation 86: PRDL
For r12 in regions (12 total):

\[ lead({\href{#PRDL}{PRDL(r12)}}) = \href{#PRID}{PRID(r12)} \]

Equation 87: GDPN
For r12 in regions (12 total):

\[ \href{#GDPN}{GDPN(r12)} = exp{ \left(\href{#PRCT}{PRCT(r12)}\right) } *\href{#CONP}{CONP(r12)} +exp{ \left(\href{#PRGT}{PRGT(r12)}\right) } *\href{#GCET}{GCET(r12)} +exp{ \left(\href{#PRII}{PRII(r12)}\right) } *\href{#INVT}{INVT(r12)} +exp{ \left(\href{#PRID}{PRID(r12)}\right) } *\href{#TBAL}{TBAL(r12)} +\sum_{g33 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(exp{ \left(\href{#PRII}{PRII(r12)}\right) } *\href{#INS}{INS(r12,g33)}\right) } \]

Equation 88: GDPR
For r12 in regions (12 total):

\[ \href{#GDPR}{GDPR(r12)} = \href{#CONP}{CONP(r12)}+\href{#GCET}{GCET(r12)} +\href{#INVT}{INVT(r12)} +\href{#TBAL}{TBAL(r12)} +\sum_{g33 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(\href{#INS}{INS(r12,g33)}\right) } \]

Equation 89: PGDP
For r12 in regions (12 total):

\[ \href{#PGDP}{PGDP(r12)} = ln{ \left(\href{#GDPN}{GDPN(r12)}\right) } -ln{ \left(\href{#GDPR}{GDPR(r12)}\right) } \]

Equation 90: GNPR
For r12 in regions (12 total):

\[ \href{#GNPR}{GNPR(r12)} = \href{#GDPR}{GDPR(r12)} +\frac{\href{#IRAS}{IRAS(r12)}}{exp{ \left(\href{#REXN}{REXN(r12)}\right) }} \]

Equation 91: CURN
For r12 in regions (12 total):

\[ \href{#CURN}{CURN(r12)} = \href{#TBAL}{TBAL(r12)} +\frac{\href{#INAS}{INAS(r12)}}{exp{ \left(\href{#REXN}{REXN(r12)}\right) }} \]

Equation 92: CURR
For r12 in regions (12 total):

\[ \href{#CURR}{CURR(r12)} = \href{#TBAU}{TBAU(r12)}+\href{#IRAS}{IRAS(r12)} \]

Equation 93: WELT
For r12 in regions (12 total):

\[ \href{#WELT}{WELT(r12)} = \href{#BOND}{BOND(r12)} +\frac{\href{#ASSU}{ASSU(r12)}}{exp{ \left(\href{#REXN}{REXN(r12)}\right) }} +\frac{{(\href{#mongdp}{mongdp(r12)} *exp{ \left(\href{#MONE}{MONE(r12)}\right) })}}{exp{ \left(\href{#PRID}{PRID(r12)}\right) }} +\href{#WELH}{WELH(r12)} +\href{#LAMY}{LAMY(r12)}*\href{#CAPY}{CAPY(r12)} +\href{#LAMZ}{LAMZ(r12)}*\href{#CAPZ}{CAPZ(r12)} +\sum_{s1 \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(\href{#STM}{STM(s1,r12)}\right) } \]

Equation 94: WELH
For r12 in regions (12 total):

\[ lead({\href{#WELH}{WELH(r12)}}) = {(1+\href{#RISW}{RISW(r12)}+\href{#RISH}{RISH(r12)} +\href{#INTR}{INTR(r12)} -\href{#labgrow}{labgrow(r12)})} *\href{#WELH}{WELH(r12)} -\href{#TRAN}{TRAN(r12)} +\href{#TAXH}{TAXH(r12)} +\href{#TAXL}{TAXL(r12)} -\frac{{(exp{ \left(\href{#WAGE}{WAGE(r12)}\right) } *{(\href{#IITL}{IITL(r12)}+\href{#CNPL}{CNPL(r12)})} +exp{ \left(\href{#WAGG}{WAGG(r12)}\right) } *\href{#GOVL}{GOVL(r12)} +\sum_{s1 \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(exp{ \left(\href{#WAG}{WAG(s1,r12)}\right) } *\href{#LAB}{LAB(s1,r12)}\right) })}}{exp{ \left(\href{#PRID}{PRID(r12)}\right) }} \]

Equation 95: SAVI
For r12 in regions (12 total):

\[ \href{#SAVI}{SAVI(r12)} = \href{#INVT}{INVT(r12)} *exp{ \left( \href{#PRII}{PRII(r12)}-\href{#PRID}{PRID(r12)}\right) } +\frac{\href{#CURR}{CURR(r12)}}{exp{ \left(\href{#REXN}{REXN(r12)}\right) }} +\href{#DEFI}{DEFI(r12)} \]

Equation 96: SAVN
For r12 in regions (12 total):

\[ \href{#SAVN}{SAVN(r12)} = \href{#INVT}{INVT(r12)} *exp{ \left( \href{#PRII}{PRII(r12)}-\href{#PRID}{PRID(r12)}\right) } +\href{#CURN}{CURN(r12)} +\href{#DEFN}{DEFN(r12)} \]

Equation 97: SAVT
For r12 in regions (12 total):

\[ \href{#SAVT}{SAVT(r12)} = \href{#INVT}{INVT(r12)} *exp{ \left( \href{#PRII}{PRII(r12)}-\href{#PRID}{PRID(r12)}\right) } +\href{#CURN}{CURN(r12)} \]

Equation 98: TBAL
For r12 in regions (12 total):

\[ \href{#TBAL}{TBAL(r12)} = \href{#EXQT}{EXQT(r12)}-\href{#IMQT}{IMQT(r12)} \]

Equation 99: TBAU
For r12 in regions (12 total):

\[ \href{#TBAU}{TBAU(r12)} = \href{#TBAL}{TBAL(r12)} *exp{ \left(\href{#REXN}{REXN(r12)}\right) } \]

Equation 100: EXCH
For n1 in notUSA (11 total):

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

Equation 101: EXCL
For r12 in regions (12 total):

\[ lead({\href{#EXCL}{EXCL(r12)}}) = \href{#EXCH}{EXCH(r12)} \]

Equation 102: REXC
For r12 in regions (12 total):

\[ lead({\href{#REXC}{REXC(r12)}}) = \href{#REXC}{REXC(r12)}-\href{#INTR}{INTR(r12)} +\href{#INTR}{INTR(\text{USA})} +\href{#EXCR}{EXCR(r12)} \]

Equation 103: REXN
For r12 in regions (12 total):

\[ \href{#REXN}{REXN(r12)} = \href{#REXC}{REXC(r12)} \]

Equation 104: NEER
For d in dest (12 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 105: REER
For d in dest (12 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 106: ABUY
For o1 in owner (12 total):

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

Equation 107: ASSE
For c in currency, o1 in owner (144 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 108: ASSU
For o1 in owner (12 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 109: OUY
For g29 in goods_g, r12 in regions (96 total):

\[ \href{#OUY}{OUY(g29,r12)} = \href{#ELE}{ELE(g29,r12)} \]

Equation 110: OUG
For g29 in goods_g, r12 in regions (96 total):

\[ \href{#OUG}{OUG(g29,r12)} = \href{#OUY}{OUY(g29,r12)} \]

Equation 111: ELE
For g29 in goods_g, r12 in regions (96 total):

\[ \href{#ELE}{ELE(g29,r12)} = exp{ \left(\href{#SHY}{SHY(\text{a01},r12)}\right) } ^{(\href{#sigma_ed}{sigma\_ed(r12)}-1)} *\href{#delta_ed}{delta\_ed(r12,g29)} *\href{#OUP}{OUP(\text{a01},r12)} *\frac{exp{ \left(\href{#PRP}{PRP(\text{a01},r12)}\right) }}{exp{ \left(\href{#PRY}{PRY(g29,r12)}\right) }} ^\href{#sigma_ed}{sigma\_ed(r12)} \]

Equation 112: PRS
For g29 in goods_g, r12 in regions (96 total):

\[ \href{#PRS}{PRS(g29,r12)} = \href{#PRD}{PRD(g29,r12)} \]

Equation 113: PED
For r12 in regions (12 total):

\[ \href{#PED}{PED(r12)} = \href{#cd_ed}{cd\_ed(r12)} *\sum_{g29 \; \text{in} \; \href{#goods_g}{goods\_g}} { \left(\href{#delta_ed}{delta\_ed(r12,g29)}*\href{#PRY}{PRY(g29,r12)}\right) } +\frac{{({(1-\href{#cd_ed}{cd\_ed(r12)})} *ln{ \left( \sum_{g29 \; \text{in} \; \href{#goods_g}{goods\_g}} { \left(\href{#delta_ed}{delta\_ed(r12,g29)} *exp{ \left(\href{#PRY}{PRY(g29,r12)}\right) } ^{(1-\href{#sigma_ed}{sigma\_ed(r12)})}\right) }\right) })}}{{(1 -\href{#sigma_ed}{sigma\_ed(r12)}*{(1-\href{#cd_ed}{cd\_ed(r12)})})}} -\href{#SHY}{SHY(\text{a01},r12)} \]

Equation 114: PRP
For r12 in regions (12 total):

\[ \href{#PRP}{PRP(\text{a01},r12)} = \href{#PED}{PED(r12)} \]

Equation 115: EYGR
For r12 in regions (12 total):

\[ \href{#EYGR}{EYGR(r12)} = ln{ \left(lead({\href{#OUTP}{OUTP(r12)}})\right) } -ln{ \left(\href{#OUTP}{OUTP(r12)}\right) } \]

Equation 116: EPRC
For r12 in regions (12 total):

\[ \href{#EPRC}{EPRC(r12)} = lead({\href{#PRCT}{PRCT(r12)}})-\href{#PRCT}{PRCT(r12)} \]

Equation 117: INFL
For r12 in regions (12 total):

\[ \href{#INFL}{INFL(r12)} = \href{#PRCT}{PRCT(r12)}-\href{#PRCL}{PRCL(r12)} \]

Equation 118: PRCOL
For r12 in regions (12 total):

\[ lead({\href{#PRCOL}{PRCOL(r12)}}) = \href{#PRCO}{PRCO(r12)} \]

Equation 119: INFCL
For r12 in regions (12 total):

\[ \href{#INFCL}{INFCL(r12)} = \href{#PRCO}{PRCO(r12)}-\href{#PRCOL}{PRCOL(r12)} \]

Equation 120: GNEN
For r12 in regions (12 total):

\[ \href{#GNEN}{GNEN(r12)} = exp{ \left(\href{#PRCT}{PRCT(r12)}\right) } *\href{#CONP}{CONP(r12)} +exp{ \left(\href{#PRID}{PRID(r12)}\right) } *\href{#GCET}{GCET(r12)} +exp{ \left(\href{#PRII}{PRII(r12)}\right) } *\href{#INVT}{INVT(r12)} +\sum_{g33 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(exp{ \left(\href{#PRII}{PRII(r12)}\right) } *\href{#INS}{INS(r12,g33)}\right) } \]

Equation 121: GNER
For r12 in regions (12 total):

\[ \href{#GNER}{GNER(r12)} = \href{#CONP}{CONP(r12)}+\href{#GCET}{GCET(r12)} +\href{#INVT}{INVT(r12)} +\sum_{g33 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(\href{#INS}{INS(r12,g33)}\right) } \]

Equation 122: INTN
For r12 in regions (12 total):

\[ \href{#INTN}{INTN(r12)} = \href{#mrule_r}{mrule\_r(r12)}*\href{#INTL}{INTL(r12)} +\href{#mrule_ex}{mrule\_ex(r12)} *{(\href{#EXCH}{EXCH(r12)}-\href{#EXCL}{EXCL(r12)} -\href{#EXCX}{EXCX(r12)})} +\href{#mrule_1}{mrule\_1(r12)} *{(\href{#INFL}{INFL(r12)}-\href{#INFX}{INFX(r12)})} +\href{#mrule_2}{mrule\_2(r12)} *{(\href{#INFP}{INFP(r12)}-\href{#INFX}{INFX(r12)})} +\href{#mrule_3}{mrule\_3(r12)} *{(\href{#INFCL}{INFCL(r12)}-\href{#INFX}{INFX(r12)})} +\href{#mrule_4}{mrule\_4(r12)} *{(\href{#PRCT}{PRCT(r12)}-\href{#PTAR}{PTAR(r12)})} +\href{#mrule_5}{mrule\_5(r12)} *{(\href{#PRID}{PRID(r12)}-\href{#PTAR}{PTAR(r12)})} +\href{#mrule_6}{mrule\_6(r12)} *{(\href{#WAGE}{WAGE(r12)}-\href{#PTAR}{PTAR(r12)})} +\href{#mrule_7}{mrule\_7(r12)}*0 +\href{#mrule_8}{mrule\_8(r12)} *{(ln{ \left(\href{#OUTP}{OUTP(r12)}\right) } -ln{ \left(\href{#OUTL}{OUTL(r12)}\right) } -\href{#ROGY}{ROGY(r12)})} +\href{#mrule_9}{mrule\_9(r12)} *{(ln{ \left(\href{#OUTP}{OUTP(r12)}\right) } -ln{ \left(\href{#OUTL}{OUTL(r12)}\right) } -\href{#ROGY}{ROGY(r12)} +\href{#INFP}{INFP(r12)} -\href{#INFX}{INFX(r12)})} +\href{#mrule_10}{mrule\_10(r12)} *{(ln{ \left(\href{#GDPN}{GDPN(r12)}\right) } -\href{#ROGY}{ROGY(r12)})} +\href{#mrule_11}{mrule\_11(r12)} *{(ln{ \left(\href{#OUTP}{OUTP(r12)}\right) } +\href{#PRID}{PRID(r12)})} +\href{#mrule_12}{mrule\_12(r12)} *ln{ \left( {(\href{#OUTP}{OUTP(r12)}-\href{#TBAL}{TBAL(r12)})} *exp{ \left(\href{#PRID}{PRID(r12)}\right) }\right) } +\href{#mrule_13}{mrule\_13(r12)} *{(\href{#EPRC}{EPRC(r12)}-\href{#INFX}{INFX(r12)})} +\href{#mrule_14}{mrule\_14(r12)} *{(\href{#EYGR}{EYGR(r12)}-\href{#ROGY}{ROGY(r12)})} +\href{#mrule_15}{mrule\_15(r12)} *{(ln{ \left(\href{#GNEN}{GNEN(r12)}\right) } -\href{#ROGY}{ROGY(r12)})} +\href{#INTX}{INTX(r12)} \]

Equation 123: INTL
For r12 in regions (12 total):

\[ lead({\href{#INTL}{INTL(r12)}}) = \href{#INTN}{INTN(r12)} \]

Equation 124: GCE
For g28 in goods_e, r12 in regions (60 total):

\[ \href{#GCE}{GCE(g28,r12)} = \frac{{(\href{#delta_eG}{delta\_eG(g28,r12)} *\frac{\href{#delta_oG}{delta\_oG(\text{e},r12)}}{{(\href{#delta_oG}{delta\_oG(\text{e},r12)} +\href{#delta_oG}{delta\_oG(\text{m},r12)})}} *\href{#GOVS}{GOVS(r12)} *exp{ \left(\href{#PRGT}{PRGT(r12)}\right) })}}{exp{ \left(\href{#PRY}{PRY(g28,r12)}\right) }} \]

Equation 125: GCE
For g30 in goods_m, r12 in regions (108 total):

\[ \href{#GCE}{GCE(g30,r12)} = \frac{{(\href{#delta_mG}{delta\_mG(g30,r12)} *\frac{\href{#delta_oG}{delta\_oG(\text{m},r12)}}{{(\href{#delta_oG}{delta\_oG(\text{e},r12)} +\href{#delta_oG}{delta\_oG(\text{m},r12)})}} *\href{#GOVS}{GOVS(r12)} *exp{ \left(\href{#PRGT}{PRGT(r12)}\right) })}}{exp{ \left(\href{#PRY}{PRY(g30,r12)}\right) }} \]

Equation 126: GCET
For r12 in regions (12 total):

\[ \href{#GCET}{GCET(r12)} = \frac{\sum_{g33 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(\href{#GCE}{GCE(g33,r12)} *exp{ \left(\href{#PRY}{PRY(g33,r12)}\right) }\right) }}{exp{ \left(\href{#PRGT}{PRGT(r12)}\right) }} \]

Equation 127: GOVT
For r12 in regions (12 total):

\[ \href{#GOVT}{GOVT(r12)} = \href{#GCET}{GCET(r12)} +\href{#GOVL}{GOVL(r12)} *exp{ \left( \href{#WAGG}{WAGG(r12)}-\href{#PRID}{PRID(r12)}\right) } \]

Equation 128: TRAN
For r12 in regions (12 total):

\[ \href{#TRAN}{TRAN(r12)} = \href{#TRANX}{TRANX(r12)} +\href{#transgdp}{transgdp(r12)}*\href{#OUTP}{OUTP(r12)} \]

Equation 129: TXM
For d in dest, g33 in goods_o (168 total):

\[ \href{#TXM}{TXM(g33,d)} = \frac{\sum_{o \; \text{in} \; \href{#orig}{orig}} { \left(\href{#TIM}{TIM(g33,d,o)} *exp{ \left(\href{#PIM}{PIM(g33,d,o)}\right) } *\href{#IMP}{IMP(g33,d,o)}\right) }}{exp{ \left(\href{#PRID}{PRID(d)}\right) }} \]

Equation 130: TAXM
For d in dest (12 total):

\[ \href{#TAXM}{TAXM(d)} = \sum_{g33 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(\href{#TXM}{TXM(g33,d)}\right) } \]

Equation 131: TAXX
For r12 in regions (12 total):

\[ \href{#TAXX}{TAXX(r12)} = \frac{\sum_{g33 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(\href{#TEX}{TEX(g33,r12)} *exp{ \left(\href{#PRS}{PRS(g33,r12)}\right) } *\href{#EXQ}{EXQ(g33,r12)}\right) }}{exp{ \left(\href{#PRID}{PRID(r12)}\right) }} \]

Equation 132: TAXH
For r12 in regions (12 total):

\[ \href{#TAXH}{TAXH(r12)} = \frac{{(\href{#TINC}{TINC(r12)} *{(exp{ \left(\href{#WAGE}{WAGE(r12)}\right) } *\href{#IITL}{IITL(r12)} +exp{ \left(\href{#WAGE}{WAGE(r12)}\right) } *\href{#CNPL}{CNPL(r12)} +exp{ \left(\href{#WAGG}{WAGG(r12)}\right) } *\href{#GOVL}{GOVL(r12)} +\sum_{s1 \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(exp{ \left(\href{#WAG}{WAG(s1,r12)}\right) } *\href{#LAB}{LAB(s1,r12)}\right) })} -\href{#TITCH}{TITCH(r12)} *exp{ \left(\href{#PRII}{PRII(r12)}\right) } *\href{#INVZ}{INVZ(r12)})}}{exp{ \left(\href{#PRID}{PRID(r12)}\right) }} \]

Equation 133: TAXC
For r12 in regions (12 total):

\[ \href{#TAXC}{TAXC(r12)} = \href{#TCOR}{TCOR(r12)} *{(\sum_{s1 \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(\href{#PRF}{PRF(s1,r12)}\right) } +\href{#PRFY}{PRFY(r12)})} +\frac{{(\sum_{g26 \; \text{in} \; \href{#goods}{goods}} { \left(\href{#TAX}{TAX(g26,r12)} *exp{ \left(\href{#PRD}{PRD(g26,r12)}\right) } *\href{#OUG}{OUG(g26,r12)}\right) } +\sum_{g33 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(\href{#TAX}{TAX(g33,r12)} *exp{ \left(\href{#PMR}{PMR(g33,r12)}\right) } *\href{#IMQ}{IMQ(g33,r12)}\right) } -\sum_{s1 \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(\href{#TITC}{TITC(s1,r12)} *exp{ \left(\href{#PRII}{PRII(r12)}\right) } *\href{#INV}{INV(s1,r12)}\right) } -\sum_{g33 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(\href{#TAX}{TAX(g33,r12)} *exp{ \left(\href{#PRS}{PRS(g33,r12)}\right) } *\href{#EXQ}{EXQ(g33,r12)}\right) })}}{exp{ \left(\href{#PRID}{PRID(r12)}\right) }} \]

Equation 134: BOND
For r12 in regions (12 total):

\[ lead({\href{#BOND}{BOND(r12)}}) = \href{#DEFI}{DEFI(r12)} +\href{#BOND}{BOND(r12)}*{(1-\href{#labgrow}{labgrow(r12)})} \]

Equation 135: TAXL
For r12 in regions (12 total):

\[ \href{#TAXL}{TAXL(r12)} = \href{#INTR}{INTR(r12)}*\href{#BOND}{BOND(r12)} +\href{#TAXS}{TAXS(r12)} \]

Equation 136: TAXT
For r12 in regions (12 total):

\[ \href{#TAXT}{TAXT(r12)} = \href{#TAXC}{TAXC(r12)}+\href{#TAXH}{TAXH(r12)} +\href{#TAXL}{TAXL(r12)} +\href{#TAXM}{TAXM(r12)} +\href{#TAXX}{TAXX(r12)} +\href{#TAXE}{TAXE(r12)} \]

Equation 137: DEFI
For r12 in regions (12 total):

\[ \href{#DEFI}{DEFI(r12)} = \href{#GOVT}{GOVT(r12)}+\href{#TRAN}{TRAN(r12)} -\href{#TAXT}{TAXT(r12)} +\href{#INTR}{INTR(r12)}*\href{#BOND}{BOND(r12)} \]

Equation 138: DEFN
For r12 in regions (12 total):

\[ \href{#DEFN}{DEFN(r12)} = \href{#DEFI}{DEFI(r12)} +{(\href{#INTN}{INTN(r12)}-\href{#INTR}{INTR(r12)})} *\href{#BOND}{BOND(r12)} \]

Equation 139: EMHI
For g4 in gases, g34 in goods_oc, r12 in regions (624 total):

\[ \href{#EMHI}{EMHI(g4,g34,r12)} = \href{#household_emission_intensity}{household\_emission\_intensity(g4,g34,r12)} *\href{#CON}{CON(g34,r12)} \]

Equation 140: EMGI
For g4 in gases, g34 in goods_oc, r12 in regions (624 total):

\[ \href{#EMGI}{EMGI(g4,g34,r12)} = \href{#government_emission_intensity}{government\_emission\_intensity(g4,g34,r12)} *\href{#GCE}{GCE(g34,r12)} \]

Equation 141: EMSI
For g4 in gases, g28 in goods_e, r12 in regions, s1 in sec_std (5040 total):

\[ \href{#EMSI}{EMSI(g4,s1,g28,r12)} = \href{#sector_input_emission_intensity}{sector\_input\_emission\_intensity(g4,s1,g28,r12)} *\href{#EN}{EN(s1,g28,r12)} \]

Equation 142: EMSI
For g4 in gases, g31 in goods_mc, r12 in regions, s1 in sec_std (8064 total):

\[ \href{#EMSI}{EMSI(g4,s1,g31,r12)} = \href{#sector_input_emission_intensity}{sector\_input\_emission\_intensity(g4,s1,g31,r12)} *\href{#OI}{OI(s1,g31,r12)} \]

Equation 143: EMSL
For g4 in gases, r12 in regions, s1 in sec_std (1008 total):

\[ \href{#EMSL}{EMSL(g4,s1,r12)} = \href{#sector_labor_emission_intensity}{sector\_labor\_emission\_intensity(g4,s1,r12)} *\href{#LAB}{LAB(s1,r12)} \]

Equation 144: EMSK
For g4 in gases, r12 in regions, s1 in sec_std (1008 total):

\[ \href{#EMSK}{EMSK(g4,s1,r12)} = \href{#sector_capital_emission_intensity}{sector\_capital\_emission\_intensity(g4,s1,r12)} *\href{#base_rate_of_return_on_capital}{base\_rate\_of\_return\_on\_capital(s1,r12)} *\href{#CAP}{CAP(s1,r12)} \]

Equation 145: EMSO
For g4 in gases, r12 in regions, s1 in sec_std (1008 total):

\[ \href{#EMSO}{EMSO(g4,s1,r12)} = \href{#sector_output_emission_intensity}{sector\_output\_emission\_intensity(g4,s1,r12)} *\href{#OUP}{OUP(s1,r12)} \]

Equation 146: EMST
For g4 in gases, r12 in regions, s1 in sec_std (1008 total):

\[ \href{#EMST}{EMST(g4,s1,r12)} = \sum_{g34 \; \text{in} \; \href{#goods_oc}{goods\_oc}} { \left(\href{#EMSI}{EMSI(g4,s1,g34,r12)}\right) } +\href{#EMSL}{EMSL(g4,s1,r12)} +\href{#EMSK}{EMSK(g4,s1,r12)} +\href{#EMSO}{EMSO(g4,s1,r12)} \]

Equation 147: EMS
For g4 in gases, r12 in regions (48 total):

\[ \href{#EMS}{EMS(g4,r12)} = \sum_{s1 \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(\href{#EMST}{EMST(g4,s1,r12)}\right) } \]

Equation 148: EMH
For g4 in gases, r12 in regions (48 total):

\[ \href{#EMH}{EMH(g4,r12)} = \sum_{g34 \; \text{in} \; \href{#goods_oc}{goods\_oc}} { \left(\href{#EMHI}{EMHI(g4,g34,r12)}\right) } \]

Equation 149: EMG
For g4 in gases, r12 in regions (48 total):

\[ \href{#EMG}{EMG(g4,r12)} = \sum_{g34 \; \text{in} \; \href{#goods_oc}{goods\_oc}} { \left(\href{#EMGI}{EMGI(g4,g34,r12)}\right) } \]

Equation 150: EMR
For g4 in gases, r12 in regions (48 total):

\[ \href{#EMR}{EMR(g4,r12)} = \href{#EMH}{EMH(g4,r12)}+\href{#EMG}{EMG(g4,r12)} +\href{#EMS}{EMS(g4,r12)} \]

Equation 151: EMHC
For r12 in regions (12 total):

\[ \href{#EMHC}{EMHC(r12)} = \sum_{g4 \; \text{in} \; \href{#gases}{gases}} { \left(\href{#EMH}{EMH(g4,r12)}\right) } \]

Equation 152: EMGC
For r12 in regions (12 total):

\[ \href{#EMGC}{EMGC(r12)} = \sum_{g4 \; \text{in} \; \href{#gases}{gases}} { \left(\href{#EMG}{EMG(g4,r12)}\right) } \]

Equation 153: EMSC
For r12 in regions (12 total):

\[ \href{#EMSC}{EMSC(r12)} = \sum_{g4 \; \text{in} \; \href{#gases}{gases}} { \left(\href{#EMS}{EMS(g4,r12)}\right) } \]

Equation 154: EMRC
For r12 in regions (12 total):

\[ \href{#EMRC}{EMRC(r12)} = \sum_{g4 \; \text{in} \; \href{#gases}{gases}} { \left(\href{#EMR}{EMR(g4,r12)}\right) } \]

Equation 155: PRT
For g29 in goods_g, r12 in regions, s1 in sec_std (2016 total):

\[ \href{#PRT}{PRT(s1,g29,r12)} = \href{#PRY}{PRY(g29,r12)} \]

Equation 156: PRT
For g27 in goods_d, r12 in regions, s1 in sec_std (252 total):

\[ \href{#PRT}{PRT(s1,g27,r12)} = \href{#PRY}{PRY(g27,r12)} \]

Equation 157: PRT
For g34 in goods_oc, r12 in regions, s1 in sec_std (3276 total):

\[ \href{#PRT}{PRT(s1,g34,r12)} = ln{ \left( exp{ \left(\href{#PRY}{PRY(g34,r12)}\right) } +\frac{\sum_{g4 \; \text{in} \; \href{#gases}{gases}} { \left({(\href{#ETAXI}{ETAXI(g4,s1,g34,r12)} +\href{#SHADOWETAXI}{SHADOWETAXI(g4,s1,g34,r12)})} *exp{ \left(\href{#PRID}{PRID(r12)}\right) } *\href{#sector_input_emission_intensity}{sector\_input\_emission\_intensity(g4,s1,g34,r12)}\right) }}{1000}\right) } \]

Equation 158: PRCE
For r12 in regions (12 total):

\[ \href{#PRCE}{PRCE(r12)} = \href{#cd_eH}{cd\_eH(r12)} *\sum_{g28 \; \text{in} \; \href{#goods_e}{goods\_e}} { \left(\href{#delta_eH}{delta\_eH(g28,r12)} *ln{ \left( exp{ \left(\href{#PRY}{PRY(g28,r12)}\right) } +\frac{\sum_{g4 \; \text{in} \; \href{#gases}{gases}} { \left({(\href{#ETAXH}{ETAXH(g4,g28,r12)} +\href{#SHADOWETAXH}{SHADOWETAXH(g4,g28,r12)})} *exp{ \left(\href{#PRID}{PRID(r12)}\right) } *\href{#household_emission_intensity}{household\_emission\_intensity(g4,g28,r12)}\right) }}{1000}\right) }\right) } +\frac{{({(1-\href{#cd_eH}{cd\_eH(r12)})} *ln{ \left( \sum_{g28 \; \text{in} \; \href{#goods_e}{goods\_e}} { \left(\href{#delta_eH}{delta\_eH(g28,r12)} *{(exp{ \left(\href{#PRY}{PRY(g28,r12)}\right) } +\frac{\sum_{g4 \; \text{in} \; \href{#gases}{gases}} { \left({(\href{#ETAXH}{ETAXH(g4,g28,r12)} +\href{#SHADOWETAXH}{SHADOWETAXH(g4,g28,r12)})} *exp{ \left(\href{#PRID}{PRID(r12)}\right) } *\href{#household_emission_intensity}{household\_emission\_intensity(g4,g28,r12)}\right) }}{1000})} ^{(1-\href{#sigma_eH}{sigma\_eH(r12)})}\right) }\right) })}}{{(1 -\href{#sigma_eH}{sigma\_eH(r12)}*{(1-\href{#cd_eH}{cd\_eH(r12)})})}} \]

Equation 159: PRCO
For r12 in regions (12 total):

\[ \href{#PRCO}{PRCO(r12)} = \href{#cd_mH}{cd\_mH(r12)} *\sum_{g31 \; \text{in} \; \href{#goods_mc}{goods\_mc}} { \left(\href{#delta_mH}{delta\_mH(g31,r12)} *ln{ \left( exp{ \left(\href{#PRY}{PRY(g31,r12)}\right) } +\frac{\sum_{g4 \; \text{in} \; \href{#gases}{gases}} { \left({(\href{#ETAXH}{ETAXH(g4,g31,r12)} +\href{#SHADOWETAXH}{SHADOWETAXH(g4,g31,r12)})} *exp{ \left(\href{#PRID}{PRID(r12)}\right) } *\href{#household_emission_intensity}{household\_emission\_intensity(g4,g31,r12)}\right) }}{1000}\right) }\right) } +\frac{{({(1-\href{#cd_mH}{cd\_mH(r12)})} *ln{ \left( \sum_{g31 \; \text{in} \; \href{#goods_mc}{goods\_mc}} { \left(\href{#delta_mH}{delta\_mH(g31,r12)} *{(exp{ \left(\href{#PRY}{PRY(g31,r12)}\right) } +\frac{\sum_{g4 \; \text{in} \; \href{#gases}{gases}} { \left({(\href{#ETAXH}{ETAXH(g4,g31,r12)} +\href{#SHADOWETAXH}{SHADOWETAXH(g4,g31,r12)})} *exp{ \left(\href{#PRID}{PRID(r12)}\right) } *\href{#household_emission_intensity}{household\_emission\_intensity(g4,g31,r12)}\right) }}{1000})} ^{(1-\href{#sigma_mH}{sigma\_mH(r12)})}\right) }\right) })}}{{(1 -\href{#sigma_mH}{sigma\_mH(r12)}*{(1-\href{#cd_mH}{cd\_mH(r12)})})}} \]

Equation 160: CON
For g28 in goods_e, r12 in regions (60 total):

\[ \href{#CON}{CON(g28,r12)} = \href{#delta_eH}{delta\_eH(g28,r12)}*\href{#CNPE}{CNPE(r12)} *exp{ \left( \href{#PRCE}{PRCE(r12)} -ln{ \left( exp{ \left(\href{#PRY}{PRY(g28,r12)}\right) } +\frac{\sum_{g4 \; \text{in} \; \href{#gases}{gases}} { \left({(\href{#ETAXH}{ETAXH(g4,g28,r12)} +\href{#SHADOWETAXH}{SHADOWETAXH(g4,g28,r12)})} *exp{ \left(\href{#PRID}{PRID(r12)}\right) } *\href{#household_emission_intensity}{household\_emission\_intensity(g4,g28,r12)}\right) }}{1000}\right) }\right) } ^\href{#sigma_eH}{sigma\_eH(r12)} \]

Equation 161: CON
For g31 in goods_mc, r12 in regions (96 total):

\[ \href{#CON}{CON(g31,r12)} = \href{#delta_mH}{delta\_mH(g31,r12)}*\href{#CNPO}{CNPO(r12)} *exp{ \left( \href{#PRCO}{PRCO(r12)} -ln{ \left( exp{ \left(\href{#PRY}{PRY(g31,r12)}\right) } +\frac{\sum_{g4 \; \text{in} \; \href{#gases}{gases}} { \left({(\href{#ETAXH}{ETAXH(g4,g31,r12)} +\href{#SHADOWETAXH}{SHADOWETAXH(g4,g31,r12)})} *exp{ \left(\href{#PRID}{PRID(r12)}\right) } *\href{#household_emission_intensity}{household\_emission\_intensity(g4,g31,r12)}\right) }}{1000}\right) }\right) } ^\href{#sigma_mH}{sigma\_mH(r12)} \]

Equation 162: EN
For g28 in goods_e, r12 in regions, s1 in sec_std (1260 total):

\[ \href{#EN}{EN(s1,g28,r12)} = \href{#delta_e}{delta\_e(r12,s1,g28)}*\href{#ENT}{ENT(s1,r12)} *exp{ \left( \href{#PRE}{PRE(s1,r12)}-\href{#PRT}{PRT(s1,g28,r12)}\right) } ^\href{#sigma_e}{sigma\_e(s1,r12)} \]

Equation 163: OI
For g30 in goods_m, r12 in regions, s1 in sec_std (2268 total):

\[ \href{#OI}{OI(s1,g30,r12)} = \href{#delta_m}{delta\_m(r12,s1,g30)}*\href{#OIN}{OIN(s1,r12)} *exp{ \left( \href{#POI}{POI(s1,r12)}-\href{#PRT}{PRT(s1,g30,r12)}\right) } ^\href{#sigma_m}{sigma\_m(s1,r12)} \]

Equation 164: PRE
For r12 in regions, s1 in sec_std (252 total):

\[ \href{#PRE}{PRE(s1,r12)} = \href{#cd_e}{cd\_e(s1,r12)} *\sum_{g28 \; \text{in} \; \href{#goods_e}{goods\_e}} { \left(\href{#delta_e}{delta\_e(r12,s1,g28)}*\href{#PRT}{PRT(s1,g28,r12)}\right) } +\frac{{({(1-\href{#cd_e}{cd\_e(s1,r12)})} *ln{ \left( \sum_{g28 \; \text{in} \; \href{#goods_e}{goods\_e}} { \left(\href{#delta_e}{delta\_e(r12,s1,g28)} *exp{ \left(\href{#PRT}{PRT(s1,g28,r12)}\right) } ^{(1-\href{#sigma_e}{sigma\_e(s1,r12)})}\right) }\right) })}}{{(1 -\href{#sigma_e}{sigma\_e(s1,r12)}*{(1-\href{#cd_e}{cd\_e(s1,r12)})})}} \]

Equation 165: POI
For r12 in regions, s1 in sec_std (252 total):

\[ \href{#POI}{POI(s1,r12)} = \href{#cd_m}{cd\_m(s1,r12)} *\sum_{g30 \; \text{in} \; \href{#goods_m}{goods\_m}} { \left(\href{#delta_m}{delta\_m(r12,s1,g30)}*\href{#PRT}{PRT(s1,g30,r12)}\right) } +\frac{{({(1-\href{#cd_m}{cd\_m(s1,r12)})} *ln{ \left( \sum_{g30 \; \text{in} \; \href{#goods_m}{goods\_m}} { \left(\href{#delta_m}{delta\_m(r12,s1,g30)} *exp{ \left(\href{#PRT}{PRT(s1,g30,r12)}\right) } ^{(1-\href{#sigma_m}{sigma\_m(s1,r12)})}\right) }\right) })}}{{(1 -\href{#sigma_m}{sigma\_m(s1,r12)}*{(1-\href{#cd_m}{cd\_m(s1,r12)})})}} \]

Equation 166: TAXE
For r12 in regions (12 total):

\[ \href{#TAXE}{TAXE(r12)} = \frac{{(\sum_{s1 \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(\sum_{g28 \; \text{in} \; \href{#goods_e}{goods\_e}} { \left(\frac{{(\href{#EN}{EN(s1,g28,r12)} *\sum_{g4 \; \text{in} \; \href{#gases}{gases}} { \left(\href{#ETAXI}{ETAXI(g4,s1,g28,r12)} *exp{ \left(\href{#PRID}{PRID(r12)}\right) } *\href{#sector_input_emission_intensity}{sector\_input\_emission\_intensity(g4,s1,g28,r12)}\right) })}}{1000}\right) }\right) } +\sum_{s1 \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(\sum_{g31 \; \text{in} \; \href{#goods_mc}{goods\_mc}} { \left(\frac{{(\href{#OI}{OI(s1,g31,r12)} *\sum_{g4 \; \text{in} \; \href{#gases}{gases}} { \left(\href{#ETAXI}{ETAXI(g4,s1,g31,r12)} *exp{ \left(\href{#PRID}{PRID(r12)}\right) } *\href{#sector_input_emission_intensity}{sector\_input\_emission\_intensity(g4,s1,g31,r12)}\right) })}}{1000}\right) }\right) } +\sum_{g28 \; \text{in} \; \href{#goods_e}{goods\_e}} { \left(\frac{{(\href{#CON}{CON(g28,r12)} *\sum_{g4 \; \text{in} \; \href{#gases}{gases}} { \left(\href{#ETAXH}{ETAXH(g4,g28,r12)} *exp{ \left(\href{#PRID}{PRID(r12)}\right) } *\href{#household_emission_intensity}{household\_emission\_intensity(g4,g28,r12)}\right) })}}{1000}\right) } +\sum_{g31 \; \text{in} \; \href{#goods_mc}{goods\_mc}} { \left(\frac{{(\href{#CON}{CON(g31,r12)} *\sum_{g4 \; \text{in} \; \href{#gases}{gases}} { \left(\href{#ETAXH}{ETAXH(g4,g31,r12)} *exp{ \left(\href{#PRID}{PRID(r12)}\right) } *\href{#household_emission_intensity}{household\_emission\_intensity(g4,g31,r12)}\right) })}}{1000}\right) })}}{exp{ \left(\href{#PRID}{PRID(r12)}\right) }} \]

G-Cubed model_22U_199