G-Cubed model_22P

Name	Elements	Description
abroad	USA, JPN, AUS, EUR, CAN, ADV, CHN, IND, OIL, ROW	used in asset calculations
currency	USA, JPN, AUS, EUR, CAN, ADV, CHN, IND, OIL, ROW	currency of assets
dest	USA, JPN, AUS, EUR, CAN, ADV, CHN, IND, OIL, ROW	alias for regions
domfor	D, F	domestic vs foreign
factors	K, L, E, M	top tier factors of production
fgen	a13, a14, a15
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	g14	crops
good_durable_manufacturing	g09	durable manufacturing goods
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	g13	livestock
good_nondurable_manufacturing	g10	non-durable manufacturing goods
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	agriculture, forestry, fishing and hunting products
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_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 goods less durable manufacturing - those material goods consumed directly
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 goods less durable manufacturing - those ordinary goods consumed directly
notROW	USA, JPN, AUS, EUR, CAN, ADV, CHN, IND, OIL	used in CURR equation
notUSA	JPN, AUS, EUR, CAN, ADV, CHN, IND, OIL, ROW	used with REXC equation
oecd	USA, JPN, AUS, EUR, CAN, ADV	OECD countries
orig	USA, JPN, AUS, EUR, CAN, ADV, CHN, IND, OIL, ROW	alias for regions
owner	USA, JPN, AUS, EUR, CAN, ADV, CHN, IND, OIL, ROW	owner of assets ASSE
region_ADV	ADV	Other advanced economies
region_AUS	AUS	Australia
region_CAN	CAN	Canada
region_CHN	CHN	China
region_EUR	EUR	Eurozone
region_IND	IND	India
region_JPN	JPN	Japan
region_OIL	OIL	Oil exporting economies
region_ROW	ROW	Rest of World
region_USA	USA	United States
regions	USA, JPN, AUS, EUR, CAN, ADV, CHN, IND, OIL, ROW	countries and regions
sec_ed	a01	electricity distribution sector
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
sector_coal_generation	a15	coal electricity generation sector
sector_construction	a06	construction sector
sector_crops	a14	crops
sector_durable_manufacturing	a09	durable manufacturing sector
sector_gas	a02	gas extraction and utilities sector
sector_gas_generation	a16	gas electricity generation sector
sector_hydro_generation	a21	hydro electricity generation sector
sector_livestock	a13	livestock
sector_nondurable_manufacturing	a10	non-durable manufacturing sector
sector_nuclear_generation	a18	nuclear electricity generation sector
sector_oil	a05	crude oil extraction sector
sector_oil_generation	a17	oil electricity generation sector
sector_oil_refining	a03	liquid fossil fuel refining sector
sector_other_agriculture	a08	other agriculture, forestry, fishing and hunting sector
sector_other_generation	a22	other electricity generation sector
sector_other_mining	a07	other mining sector
sector_services	a12	services sector
sector_solar_generation	a20	solar electricity generation sector
sector_transportation	a11	transportation sector
sector_wind_generation	a19	wind electricity generation sector
sector_YY	YY	industrial capital sector
sector_ZZ	ZZ	household capital sector
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	115	116
ASSE	currency, owner	assets in each currency, including own	sta,usgdp	116	116, 117, 79, 80
ASSU	regions	assets held by region, in US$	end,gdp	117	100
BCT	goods_o, dest, orig	unit border tax adjustment	dollar,exo	none	15, 34
BOND	regions	bonds	gdp,sta	136	100, 136, 137, 139, 140, 77
CAP	sec_std, regions	capital stock	gdp,sta	47	41, 47, 5, 50, 51, 56, 69
CAPY	regions	raw invt capital stock	gdp,sta	48	100, 42, 48, 52, 54, 57
CAPZ	regions	household capital stock	gdp,sta	49	100, 43, 49, 53, 55, 58
CNPE	regions	household demand for energy	end,gdp	82	142, 67
CNPK	regions	household capital services	end,gdp	84	none
CNPL	regions	household demand for labor	end,gdp	81	101, 135, 31, 67, 77
CNPO	regions	household demand for material	end,gdp	83	143, 67
CON	goods_oc, regions	household demand for goods	end,gdp	142, 143	1, 10, 11, 85
CONP	regions	national accounts consumption	end,gdp	78	123, 124, 43, 67, 81, 82, 83, 84, 94, 95
CTAV	sec_std, goods_e, regions	ad valorem sector input tax	exo,pct	none	141
CTAVS	regions	shadow ad valorem sector input tax	exo,pct	none	141
CTFDAV	goods_e, regions	ad valorem final demand tax	exo,pct	none	142, 148
CURN	regions	domestic currency current account using nominal interest payments	end,gdp	98	103, 104
CURR	regions	USD current account using real interest payments	end,gdp	99	102, 115, 116
DEFI	regions	fiscal deficit (real interest rates)	end,gdp	139	102, 136, 140
DEFN	regions	fiscal deficit (nominal interest rates)	end,gdp	140	103
DEFX	regions	fiscal deficit shocks (real interest rates)	exo,gdp	none	none
ELE	goods_g, regions	demand for G goods	end,gdp	154	152
EMCO	regions	CO2 emissions	end,mmtgdp	109	none
EMCO2	sec_std, regions	CO2 emissions by sector	end,mmtgdp	107	109
EMCO2FD	regions	CO2 emissions final Demand	end,mmtgdp	108	109
EMG	regions	CO2 equivalent emissions by government	end,mmtgdp	2	8
EMH	regions	CO2 equivalent emissions by households	end,mmtgdp	1	8
EMR	regions	CO2 equivalent emissions for the region	end,mmtgdp	8	none
EMS	sec_std, regions	CO2 equivalent emissions by sector	end,mmtgdp	7	8
EMSI	sec_std, regions	CO2 equivalent emissions due to usage of input goods by sector	end,mmtgdp	3	7
EMSK	sec_std, regions	CO2 equivalent emissions due to usage of capital by sector	end,mmtgdp	5	7
EMSL	sec_std, regions	CO2 equivalent emissions due to usage of labor by sector	end,mmtgdp	4	7
EMSO	sec_std, regions	CO2 equivalent emissions due to output by sector	end,mmtgdp	6	7
EN	sec_std, goods_e, regions	sector demand for energy goods	end,gdp	144	10, 107, 3
ENT	sec_std, regions	sector demand for energy	end,gdp	24	144, 65
EPRC	regions	expected consumer price inflation rate	end,intertemporal_constant,pct	119	125
EXCH	regions	nominal ex. rate as US$ per LCU	idx,logged,stl	110, 9	111, 113, 125, 14
EXCL	regions	exch rate as US$ per LCU - lagged	idx,lagged,logged,sta	111	125
EXCR	regions	country risk premium relative to US	exo,pct	none	112
EXCX	regions	exchange rate target percentage change	exo,pct	none	125
EXQ	goods_o, regions	exports, EXP.xx	end,gdp	19	10, 11, 12, 134, 151, 18
EXQT	regions	value of exports at source	end,gdp	18	105
EYGR	regions	expected output growth	end,intertemporal_constant,pct	118	125
FDEN	goods_e, regions	final demand for energy goods	end,gdp	85	108
GCE	goods_o, regions	government purchases of goods and services	end,gdp	127, 128	10, 11, 12, 129, 2
GCET	regions	national accounts government spending excluding labor	end,gdp	129	123, 124, 130, 94, 95
GDPN	regions	GDP, nominal	end,gdp	94	125, 96
GDPR	regions	GDP, real	end,gdp	95	96, 97
GNEN	regions	GNE, nominal	end,gdp	123	125
GNER	regions	GNE, real	end,gdp	124	none
GNPR	regions	gross national product	end,gdp	97	none
GOVL	regions	labor used by government	exo,gdp	none	101, 130, 135, 31, 77
GOVS	regions	government spending excluding labor	exo,gdp	none	127, 128
GOVT	regions	national accounts government spending including labor	end,gdp	130	139
IIN	goods_o, regions	raw capital sector demand for goods	end,gdp	29, 30	10, 11, 12
IITE	regions	raw capital sector demand for energy	end,gdp	27	29, 66
IITL	regions	raw capital sector demand for labor	end,gdp	26	101, 135, 31, 66, 77
IITO	regions	raw capital sector demand for material	end,gdp	28	30, 66
IMP	goods_o, dest, orig	individual imports, IMP.xy	end,exclude_dest_equals_orig,gdp	15	132, 16, 19
IMPX	goods_o, dest, orig	individual imports shift	exo,gdp	none	15
IMQ	goods_o, regions	DF imports by good, IMQ.xx	end,gdp	13	15, 151, 16, 17
IMQT	regions	value of imports at destination	end,gdp	17	105
INAS	regions	nominal USD net interest payments on foreign assets	end,gdp	80	98
INCM	regions	after tax household income	end,gdp	77	78
INFCL	regions	household materials inflation rate	end,pct	122	125
INFL	regions	consumer price inflation	end,pct	120	125
INFP	regions	output price inflation	end,pct	91	125
INFX	regions	inflation target	exo,pct	none	125
INS	regions, goods_o	shocks to aggregate investment demand	exo,gdp	none	10, 11, 12, 123, 124, 94, 95
INTF	regions	risk free interest rate, short-run, real	end,pct	89	90
INTL	regions	interest rate, short-run, nominal (lagged)	pct,sta	126	125
INTN	regions	interest rate, short (policy), nominal	pct,stl	125	126, 140, 80, 88, 89
INTR	regions	risk adjusted interest rate, short-run, real	end,pct	90	101, 112, 137, 139, 140, 56, 57, 58, 77, 79
INV	sec_std, regions	raw investment	end,gdp	50	151, 51, 65, 71
INVP	regions	total investment by standard sectors	end,gdp	71	72
INVT	regions	total investment including by households	end,gdp	72	102, 103, 104, 123, 124, 26, 27, 28, 42, 66, 94, 95
INVY	regions	raw investment	end,gdp	52	66, 72
INVZ	regions	household investment	end,gdp	53	135, 67, 72
IRAS	regions	real USD net interest payments on foreign assets	end,gdp	79	77, 97, 99
JNV	sec_std, regions	installed investment	end,gdp	51	47, 56
JNVY	regions	installed investment in the raw capital sector	end,gdp	54	48, 52, 57
JNVZ	regions	installed household investment	end,gdp	55	49, 53, 58
LAB	sec_std, regions	sector demand for labor	end,gdp	23	101, 135, 31, 4, 65, 77
LABO	regions	labor demand	end,gdp	31	44
LABX	regions	labor supply	exo,gdp	none	44
LAM	sec_std, regions	marginal value of a unit of capital	cos,intertemporal_constant,pct	56	56, 59, 69
LAMY	regions	marginal value of a unit of capital in the raw capital sector	cos,pct	57	100, 57, 60
LAMZ	regions	marginal value of a unit of household capital	cos,pct	58	100, 58, 61
LGDPN	regions	GDP, nominal	exo,nomusdbillion	none	none
LGDPR	regions	GDP, real	exo,realusdbillion	none	none
MONE	regions	money demand	end,idx,logged	88	100
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	113	none
OI	sec_std, goods_m, regions	sector demand for material goods	end,gdp	145	11, 12, 3
OIN	sec_std, regions	sector demand for materials	end,gdp	25	145, 65
OUG	goods, regions	domestic supply of goods	end,gdp	153, 21	151, 22, 75
OUP	sectors, regions	domestic production	end,gdp	22	154, 23, 24, 25, 41, 6, 65
OUTL	regions	aggregate output (lagged)	gdp,lagged,sta	76	125
OUTP	regions	aggregate output	ets,gdp	75	118, 125, 131, 76, 88
OUTX	regions	shock to output target	exo,pct	none	none
OUY	goods, regions	composite supply	end,gdp	10, 11, 12, 152	13, 153, 21
PBAG	regions	USD value of permits sold through government	exo,gdp	none	136
PBAL	regions	value of permits sold, USD	exo,gdp	none	97, 98, 99
PED	regions	Price of GWh before CECs	end,idx,logged	156	157
PGDP	regions	GDP implicit price deflator	end,idx,logged	96	none
PIM	goods_o, dest, orig	landed price of imports	end,idx,logged	14	132, 15, 16, 34
PMQ	goods_o, regions	import landed price index	end,idx,logged	16	17, 35
PMR	goods_o, regions	price of imports incl tariffs	end,idx,logged	34	13, 15, 151, 32
POI	sec_std, regions	sector price of materials	end,idx,logged	147	145, 25, 39, 65
PRCE	regions	household price of energy	end,idx,logged	148	142, 67, 82, 86
PRCL	regions	aggregate price of consumer goods lagged	idx,lagged,logged,sta	92	120, 44
PRCO	regions	household price of material	end,idx,logged	149	121, 122, 143, 67, 83, 86
PRCOL	regions	household price of material - lagged	idx,lagged,logged,sta	121	122
PRCT	regions	aggregate price of consumer goods	ets,idx,logged	86	119, 120, 123, 125, 43, 44, 67, 78, 81, 82, 83, 84, 92, 94
PRD	goods, regions	post-tax price of goods	end,idx,logged	38	151, 155, 21, 32, 73, 75
PRDL	regions	weighted price of domestic output lag	idx,lagged,logged,sta	93	91
PRDX	regions	shock to weighted price of domestic output	exo,pct	none	none
PRE	sec_std, regions	sector price of energy	end,idx,logged	146	144, 24, 39, 65
PRF	sec_std, regions	short run profits	end,gdp	65	151, 68
PRFT	regions	total economywide profits	end,gdp	68	77
PRFY	regions	profits on raw capital sector	end,gdp	66	151, 68
PRFZ	regions	imputed short run profits on household capital	end,gdp	67	77
PRGT	regions	aggregate price of government goods	end,idx,logged	87	127, 128, 129, 94
PRID	regions	weighted price of domestic output	ets,idx,logged	73	100, 101, 102, 103, 104, 110, 123, 125, 130, 132, 134, 135, 151, 56, 57, 58, 59, 60, 61, 65, 66, 67, 75, 77, 78, 88, 89, 91, 93, 94
PRIE	regions	raw capital sector price of energy	end,idx,logged	36	27, 29, 40, 66
PRII	regions	price paid by producers for raw capital	end,idx,logged	40	102, 103, 104, 123, 135, 151, 26, 27, 28, 42, 56, 57, 58, 59, 60, 61, 65, 66, 67, 94
PRIM	regions	weighted price of imports	end,idx,logged	35	17
PRIX	regions	weighted price of exports	end,idx,logged	74	18
PRK	sec_std, regions	implicit rental price	end,idx,logged	41	39, 56
PRKY	regions	implicit raw capital sector rental price	end,idx,logged	42	40, 57
PRKZ	regions	implicit household rental price	end,idx,logged	43	58, 84, 86
PROI	regions	raw capital sector price of material	end,idx,logged	37	28, 30, 40, 66
PRP	sectors, regions	pre-tax producer price	end,idx,logged	157, 39	154, 23, 24, 25, 38, 41, 65
PRS	goods, regions	producer price of composite	end,idx,logged	155, 32	13, 134, 141, 151, 20, 21, 33
PRT	sec_std, goods_e, regions	sector-specific input price	end,idx,logged	141	144, 146
PRX	goods_o, regions	price of exports at source	end,idx,logged	20	14, 18, 74
PRXX	regions	shock to expected price of consumer goods	exo,pct	none	44
PRY	goods, regions	purchase price of composite	end,idx,logged	33	127, 128, 129, 142, 143, 145, 147, 148, 149, 154, 156, 29, 30, 36, 37, 87
PTAR	regions	price level target	exo,idx,logged	none	125
RB10	regions	interest rate, 10-year, real	end,pct	none	none
REER	regions	trade-weighted real exch rate, FC/domestic	end,idx,logged	114	none
REXB	region_CHN	real exchange rate without capital controls imposed	idx,logged,stl	159	160
REXC	regions	real exchange rate as US$ per LCU	cos,idx,intertemporal_constant,logged	112	112, 158, 159
REXL	region_CHN	real exchange rate without capital controls imposed - lagged	idx,lagged,logged,sta	160	none
REXN	regions	real ex. rate as US$ per LCU with capital controls	end,idx,logged	158	100, 102, 106, 110, 114, 116, 117, 77, 79, 80, 97, 98
RISE	sec_std, regions	equity risk premium by sector and region	del,exo	none	56
RISH	regions	risk premium shock for human wealth	del,exo	none	101
RISR	regions	risk premium in the yield curve	del,exo	none	90
RISW	regions	risk premium for human wealth	del,exo	none	101, 78
RISY	regions	risk premium for raw-capital sector capital	del,exo	none	57
RISZ	regions	risk premium for household capital	del,exo	none	58
ROGY	regions	potential output growth target	exo,pct	none	125
RVCTAV	regions	revenue from ad-valorem input and final demand taxes	exo,gdp	none	150
RVGS	regions	revenue from unit taxes	exo,gdp	none	150
SAVI	regions	real domestic saving using real interest rates	end,gdp	102	none
SAVN	regions	real domestic saving using nominal interest rates	end,gdp	103	none
SAVT	regions	domestic non-government saving using nominal interest rates	end,gdp	104	none
SCON	regions	nominal shadow tax on CO2.	dollar,exo	none	141, 142, 148
SHEF	sec_std, regions	autonomous energy efficiency improvements	exo,pct	none	24, 39
SHEFC	regions	consumption autonomous energy efficiency improvements	exo,pct	none	82, 86
SHK	sec_std, regions	shock to capital efficiency	exo,pct	none	39, 41
SHKC	regions	shock to aggregate consumption	exo,gdp	none	78
SHKI	regions, sec_std	shock to inv equation	exo,gdp	none	50
SHKM	regions	shock to money demand	exo,pct	none	88
SHL	regions, sec_std	shock to labor due to labor-augmenting technical change and/or population growth	exo,pct	none	23, 39
SHLY	regions	shock to raw capital sector labor due to labor-augmenting technical change and/or population growth	exo,pct	none	26, 40
SHLZ	regions	shock to household capital sector labor due to labor-augmenting technical change and/or population growth	exo,pct	none	81, 86
SHY	sectors, regions	shock to total factor productivity	exo,pct	none	154, 156, 23, 24, 25, 39, 41
SHYY	regions	shock to raw capital sector total factor productivity	exo,pct	none	26, 27, 28, 40, 42
SHYZ	regions	shock to household capital sector total factor productivity	exo,pct	none	43, 81, 82, 83, 84, 86
STM	sec_std, regions	stock market value	end,gdp	69	100, 70
STMT	regions	total stock market value	end,gdp	70	none
TAX	goods, regions	sales tax on composite	exo,pct	none	141, 151, 33
TAXC	regions	revenue from sales and company taxes	end,gdp	151	138
TAXE	regions	revenue from externality taxes	end,gdp	150	138
TAXH	regions	revenue from taxes on wages	end,gdp	135	101, 138
TAXL	regions	revenue from lump-sum taxes	end,gdp	137	101, 138, 77
TAXM	regions	tariff revenue	end,gdp	133	138
TAXS	regions	exogenous lump sum tax	exo,gdp	none	137
TAXT	regions	total revenue	end,gdp	138	139
TAXX	regions	external tax revenue	end,gdp	134	138
TBAL	regions	trade surplus, domestic currency	end,gdp	105	106, 125, 94, 95, 98
TBAU	regions	trade surplus, USD	end,gdp	106	99
TCOR	regions	tax rate on corporate profits	exo,pct	none	151, 56, 57, 77
TCPS	sec_std, goods_e, regions	nominal sector tax on CO2	dollar,exo	none	141
TCPSFD	goods_e, regions	nominal final demand tax on CO2	dollar,exo	none	142, 148
TEX	goods, regions	extern tax on composite	exo,pct	none	134, 20
TIF	goods_o, dest	fta tariff rates	exo,pct	none	132, 15, 34
TIM	goods_o, dest, orig	multilateral tariff rates	exo,pct	none	132, 15, 34
TINC	regions	tax rate on labor income	exo,pct	none	135, 77
TITC	sec_std, regions	investment tax credit rate	exo,pct	none	151, 56, 59, 65, 69
TITCH	regions	households investment tax credit rate	exo,pct	none	135, 58, 61, 67
TIX	goods_o, dest	multilateral iceberg costs	exo,pct	none	15, 34
TOB	sec_std, regions	marginal q, TOB.NC	end,pct	59	50, 62
TOBY	regions	marginal Q, raw capital sector	end,pct	60	54, 63
TOBZ	regions	marginal Q, households	end,pct	61	55, 64
TPA	sec_std, regions	partial adjustment q	pct,sta	62	50, 62
TPAY	regions	partial adjustment Q, raw capital sector	pct,sta	63	54, 63
TPAZ	regions	partial adjustment Q, households	pct,sta	64	55, 64
TRAN	regions	total transfers	end,gdp	131	101, 139, 77
TRANX	regions	exogenous transfers	exo,gdp	none	131
TXGS	sec_std, goods_e, regions	unit tax on goods to sectors	dollar,exo	none	141
TXM	goods_o, dest	tariff revenue by good	end,gdp	132	133
WAG	sec_std, regions	sector wage	end,idx,logged	46	101, 135, 23, 39, 65, 77
WAGE	regions	wage rate	idx,intertemporal_constant,logged,sta	44	101, 125, 135, 26, 40, 44, 45, 46, 66, 67, 77, 81, 86
WAGG	regions	government wage	end,idx,logged	45	101, 130, 135, 77
WELH	regions	human wealth	cos,gdp,intertemporal_constant	101	100, 101
WELT	regions	total wealth	end,gdp	100	78
YRATN	regions	GDP ratio, nominal	exo,pct	none	none

Name	Domain	Description
adapt	regions	rate of closure TOB-TPA gap
aeye	currency, owner	identity matrix
ainv	owner, abroad	inverse of I-ashr
alph_rex	regions	weight on shadow real exchange rate in CA intervention
ashr	currency, owner	asset split among currencies
base_jk	sec_std, regions	base J/K
c_scalar	regions	scalar term for carbon tax
cd_df	goods_o, regions	1 if Cobb-Douglas, 0 if CES
cd_e	sectors, 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	sectors, regions	1 if cd, 0 if ces
cd_mH	regions	1 if cd, 0 if ces
cd_mR	regions	1 if cd, 0 if ces
cd_o	sectors, regions	1 if cd, 0 if ces
cd_oH	regions	1 if cd, 0 if ces
cd_oR	regions	1 if cd, 0 if ces
co2coef	sec_std, goods_e, regions	emissions coefficients, co2 on inputs
co2coefFD	goods_e, regions	emissions coefficients, co2 on final demand
delta	regions	depreciation rate
delta_dom	goods_o, regions	domestic weight in CES function combining domestic and foreign sources
delta_e	regions, sec_std, goods_e	input weights, individ goods
delta_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
eer_weight	dest, orig	trade weights, NEER and REER
fore_c	regions	shr of C driven by foresight
fore_i_y	regions	shr of I driven by foresight in capital sector
fore_i_z	regions	shr of I driven by foresight in household capital
forei	sec_std, regions	shr of I driven by foresight std sector
FTA	dest, orig	free trade area tariff flag
government_emission_intensity	gases, goods_oc, regions	emissions intensities for government
household_emission_intensity	gases, goods_oc, regions	emissions intensities 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
MUL	dest, orig	multilateral tariff flag
phi	sec_std, regions	adjustment cost parameter std sector
phi_y	regions	adjustment cost parameter capital sector
phi_z	regions	adjustment cost parameter household capital
prid_weight	goods, regions	weights in PRID
prim_weight	goods_o, regions	weights in PRIM
prix_weight	goods_o, regions	weights in PRIX
sector_capital_emission_intensity	gases, sec_std, regions	sector capital emissions intensities
sector_input_emission_intensity	gases, goods_oc, sec_std, regions	sector input good emissions intensity
sector_labor_emission_intensity	gases, sec_std, regions	sector labor emissions intensities
sector_output_emission_intensity	gases, sec_std, regions	sector output emissions intensities
sigma_df	goods_o, regions	elasticity of substitution between domestic and foreign sources
sigma_e	sectors, 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	sectors, regions	subs elast, M tier
sigma_mH	regions	subs elast, M tier
sigma_mR	regions	subs elast, M tier
sigma_o	sectors, regions	subs elast, KLEM tier
sigma_oH	regions	subs elast, KLEM tier
sigma_oR	regions	subs elast, KLEM tier
timepref	regions	time preference rate
transgdp	regions	transfers per unit of GDP
wage_p	regions	exp infl weight in wage equation
wage_q	regions	employment parameter in wage equation

Equation 1: EMH
For r10 in regions (10 total):

\[ \href{#EMH}{EMH(r10)} = \sum_{g4 \; \text{in} \; \href{#gases}{gases}} { \left(\sum_{g34 \; \text{in} \; \href{#goods_oc}{goods\_oc}} { \left(\href{#household_emission_intensity}{household\_emission\_intensity(g4,g34,r10)} *\href{#CON}{CON(g34,r10)}\right) }\right) } \]

Equation 2: EMG
For r10 in regions (10 total):

\[ \href{#EMG}{EMG(r10)} = \sum_{g4 \; \text{in} \; \href{#gases}{gases}} { \left(\sum_{g34 \; \text{in} \; \href{#goods_oc}{goods\_oc}} { \left(\href{#government_emission_intensity}{government\_emission\_intensity(g4,g34,r10)} *\href{#GCE}{GCE(g34,r10)}\right) }\right) } \]

Equation 3: EMSI
For r10 in regions, s1 in sec_std (210 total):

\[ \href{#EMSI}{EMSI(s1,r10)} = \sum_{g4 \; \text{in} \; \href{#gases}{gases}} { \left(\sum_{g28 \; \text{in} \; \href{#goods_e}{goods\_e}} { \left(\href{#sector_input_emission_intensity}{sector\_input\_emission\_intensity(g4,g28,s1,r10)} *\href{#EN}{EN(s1,g28,r10)}\right) }\right) } +\sum_{g4 \; \text{in} \; \href{#gases}{gases}} { \left(\sum_{g31 \; \text{in} \; \href{#goods_mc}{goods\_mc}} { \left(\href{#sector_input_emission_intensity}{sector\_input\_emission\_intensity(g4,g31,s1,r10)} *\href{#OI}{OI(s1,g31,r10)}\right) }\right) } \]

Equation 4: EMSL
For r10 in regions, s1 in sec_std (210 total):

\[ \href{#EMSL}{EMSL(s1,r10)} = \sum_{g4 \; \text{in} \; \href{#gases}{gases}} { \left(\href{#sector_labor_emission_intensity}{sector\_labor\_emission\_intensity(g4,s1,r10)} *\href{#LAB}{LAB(s1,r10)}\right) } \]

Equation 5: EMSK
For r10 in regions, s1 in sec_std (210 total):

\[ \href{#EMSK}{EMSK(s1,r10)} = \sum_{g4 \; \text{in} \; \href{#gases}{gases}} { \left(\href{#sector_capital_emission_intensity}{sector\_capital\_emission\_intensity(g4,s1,r10)} *\href{#CAP}{CAP(s1,r10)}\right) } \]

Equation 6: EMSO
For r10 in regions, s1 in sec_std (210 total):

\[ \href{#EMSO}{EMSO(s1,r10)} = \sum_{g4 \; \text{in} \; \href{#gases}{gases}} { \left(\href{#sector_output_emission_intensity}{sector\_output\_emission\_intensity(g4,s1,r10)} *\href{#OUP}{OUP(s1,r10)}\right) } \]

Equation 7: EMS
For r10 in regions, s1 in sec_std (210 total):

\[ \href{#EMS}{EMS(s1,r10)} = \href{#EMSI}{EMSI(s1,r10)}+\href{#EMSL}{EMSL(s1,r10)} +\href{#EMSK}{EMSK(s1,r10)} +\href{#EMSO}{EMSO(s1,r10)} \]

Equation 8: EMR
For r10 in regions (10 total):

\[ \href{#EMR}{EMR(r10)} = \href{#EMH}{EMH(r10)}+\href{#EMG}{EMG(r10)} +\sum_{s1 \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(\href{#EMS}{EMS(s1,r10)}\right) } \]

Equation 9: EXCH

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

Equation 10: OUY
For g28 in goods_e, r10 in regions (50 total):

\[ \href{#OUY}{OUY(g28,r10)} = \href{#CON}{CON(g28,r10)}+\href{#IIN}{IIN(g28,r10)} +\href{#INS}{INS(r10,g28)} +\href{#GCE}{GCE(g28,r10)} +\href{#EXQ}{EXQ(g28,r10)} +\sum_{s1 \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(\href{#EN}{EN(s1,g28,r10)}\right) } \]

Equation 11: OUY
For g31 in goods_mc, r10 in regions (80 total):

\[ \href{#OUY}{OUY(g31,r10)} = \href{#CON}{CON(g31,r10)}+\href{#IIN}{IIN(g31,r10)} +\href{#INS}{INS(r10,g31)} +\href{#GCE}{GCE(g31,r10)} +\href{#EXQ}{EXQ(g31,r10)} +\sum_{s1 \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(\href{#OI}{OI(s1,g31,r10)}\right) } \]

Equation 12: OUY
For g9 in good_durable_manufacturing, r10 in regions (10 total):

\[ \href{#OUY}{OUY(g9,r10)} = \href{#IIN}{IIN(g9,r10)}+\href{#INS}{INS(r10,g9)} +\href{#GCE}{GCE(g9,r10)} +\href{#EXQ}{EXQ(g9,r10)} +\sum_{s1 \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(\href{#OI}{OI(s1,g9,r10)}\right) } \]

Equation 13: IMQ
For g33 in goods_o, r10 in regions (140 total):

\[ \href{#IMQ}{IMQ(g33,r10)} = {(1-\href{#delta_dom}{delta\_dom(g33,r10)})} *\href{#OUY}{OUY(g33,r10)} *exp{ \left( \href{#PRS}{PRS(g33,r10)}-\href{#PMR}{PMR(g33,r10)}\right) } ^\href{#sigma_df}{sigma\_df(g33,r10)} \]

Equation 14: PIM
For d in dest, g33 in goods_o, o1 in orig (1400 total):

\[ \href{#PIM}{PIM(g33,d,o1)} = \href{#EXCH}{EXCH(o1)}+\href{#PRX}{PRX(g33,o1)} -\href{#EXCH}{EXCH(d)} \]

Equation 15: IMP
For d in dest, g33 in goods_o, o1 in orig (1400 total):

\[ \href{#IMP}{IMP(g33,d,o1)} = \href{#delta_ff}{delta\_ff(g33,d,o1)}*\href{#IMQ}{IMQ(g33,d)} *{(\href{#BCT}{BCT(g33,d,o1)} +{(1 +{(\href{#TIM}{TIM(g33,d,o1)}+\href{#TIX}{TIX(g33,d)})} *\href{#MUL}{MUL(d,o1)} +\href{#TIF}{TIF(g33,d)}*\href{#FTA}{FTA(d,o1)})} *exp{ \left( \href{#PIM}{PIM(g33,d,o1)}-\href{#PMR}{PMR(g33,d)}\right) })} ^{(-\href{#sigma_ff}{sigma\_ff(g33,d)})} +\href{#IMPX}{IMPX(g33,d,o1)} \]

Equation 16: PMQ
For d in dest, g33 in goods_o (140 total):

\[ \href{#PMQ}{PMQ(g33,d)} = ln{ \left( \frac{\sum_{o1 \; \text{in} \; \href{#orig}{orig}} { \left(\href{#IMP}{IMP(g33,d,o1)} *exp{ \left(\href{#PIM}{PIM(g33,d,o1)}\right) }\right) }}{\href{#IMQ}{IMQ(g33,d)}}\right) } \]

Equation 17: IMQT
For r10 in regions (10 total):

\[ \href{#IMQT}{IMQT(r10)} = \frac{\sum_{g33 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(exp{ \left(\href{#PMQ}{PMQ(g33,r10)}\right) } *\href{#IMQ}{IMQ(g33,r10)}\right) }}{exp{ \left(\href{#PRIM}{PRIM(r10)}\right) }} \]

Equation 18: EXQT
For r10 in regions (10 total):

\[ \href{#EXQT}{EXQT(r10)} = \frac{\sum_{g33 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(exp{ \left(\href{#PRX}{PRX(g33,r10)}\right) } *\href{#EXQ}{EXQ(g33,r10)}\right) }}{exp{ \left(\href{#PRIX}{PRIX(r10)}\right) }} \]

Equation 19: EXQ
For g33 in goods_o, o1 in orig (140 total):

\[ \href{#EXQ}{EXQ(g33,o1)} = \sum_{d \; \text{in} \; \href{#dest}{dest}} { \left(\href{#IMP}{IMP(g33,d,o1)}\right) } \]

Equation 20: PRX
For g33 in goods_o, r10 in regions (140 total):

\[ \href{#PRX}{PRX(g33,r10)} = ln{ \left( {(1+\href{#TEX}{TEX(g33,r10)})} *exp{ \left(\href{#PRS}{PRS(g33,r10)}\right) }\right) } \]

Equation 21: OUG
For g33 in goods_o, r10 in regions (140 total):

\[ \href{#OUG}{OUG(g33,r10)} = \href{#delta_dom}{delta\_dom(g33,r10)}*\href{#OUY}{OUY(g33,r10)} *exp{ \left( \href{#PRS}{PRS(g33,r10)}-\href{#PRD}{PRD(g33,r10)}\right) } ^\href{#sigma_df}{sigma\_df(g33,r10)} \]

Equation 22: OUP
For r10 in regions, s25 in sectors (220 total):

\[ \href{#OUP}{OUP(s25,r10)} = \sum_{g27 \; \text{in} \; \href{#goods}{goods}} { \left(\href{#makeinv}{makeinv(g27,s25,r10)}*\href{#OUG}{OUG(g27,r10)}\right) } \]

Equation 23: LAB
For r10 in regions, s1 in sec_std (210 total):

\[ \href{#LAB}{LAB(s1,r10)} = exp{ \left( \href{#SHL}{SHL(r10,s1)}+\href{#SHY}{SHY(s1,r10)}\right) } ^{(\href{#sigma_o}{sigma\_o(s1,r10)}-1)} *\href{#delta_o}{delta\_o(\text{l},s1,r10)} *\href{#OUP}{OUP(s1,r10)} *exp{ \left( \href{#PRP}{PRP(s1,r10)}-\href{#WAG}{WAG(s1,r10)}\right) } ^\href{#sigma_o}{sigma\_o(s1,r10)} \]

Equation 24: ENT
For r10 in regions, s1 in sec_std (210 total):

\[ \href{#ENT}{ENT(s1,r10)} = exp{ \left( \href{#SHEF}{SHEF(s1,r10)}+\href{#SHY}{SHY(s1,r10)}\right) } ^{(\href{#sigma_o}{sigma\_o(s1,r10)}-1)} *\href{#delta_o}{delta\_o(\text{e},s1,r10)} *\href{#OUP}{OUP(s1,r10)} *exp{ \left( \href{#PRP}{PRP(s1,r10)}-\href{#PRE}{PRE(s1,r10)}\right) } ^\href{#sigma_o}{sigma\_o(s1,r10)} \]

Equation 25: OIN
For r10 in regions, s1 in sec_std (210 total):

\[ \href{#OIN}{OIN(s1,r10)} = exp{ \left(\href{#SHY}{SHY(s1,r10)}\right) } ^{(\href{#sigma_o}{sigma\_o(s1,r10)}-1)} *\href{#delta_o}{delta\_o(\text{m},s1,r10)} *\href{#OUP}{OUP(s1,r10)} *exp{ \left( \href{#PRP}{PRP(s1,r10)}-\href{#POI}{POI(s1,r10)}\right) } ^\href{#sigma_o}{sigma\_o(s1,r10)} \]

Equation 26: IITL
For r10 in regions (10 total):

\[ \href{#IITL}{IITL(r10)} = exp{ \left( \href{#SHLY}{SHLY(r10)}+\href{#SHYY}{SHYY(r10)}\right) } ^{(\href{#sigma_oR}{sigma\_oR(r10)}-1)} *\href{#delta_oR}{delta\_oR(\text{l},r10)} *\href{#INVT}{INVT(r10)} *exp{ \left( \href{#PRII}{PRII(r10)}-\href{#WAGE}{WAGE(r10)}\right) } ^\href{#sigma_oR}{sigma\_oR(r10)} \]

Equation 27: IITE
For r10 in regions (10 total):

\[ \href{#IITE}{IITE(r10)} = exp{ \left(\href{#SHYY}{SHYY(r10)}\right) } ^{(\href{#sigma_oR}{sigma\_oR(r10)}-1)} *\href{#delta_oR}{delta\_oR(\text{e},r10)} *\href{#INVT}{INVT(r10)} *exp{ \left( \href{#PRII}{PRII(r10)}-\href{#PRIE}{PRIE(r10)}\right) } ^\href{#sigma_oR}{sigma\_oR(r10)} \]

Equation 28: IITO
For r10 in regions (10 total):

\[ \href{#IITO}{IITO(r10)} = exp{ \left(\href{#SHYY}{SHYY(r10)}\right) } ^{(\href{#sigma_oR}{sigma\_oR(r10)}-1)} *\href{#delta_oR}{delta\_oR(\text{m},r10)} *\href{#INVT}{INVT(r10)} *exp{ \left( \href{#PRII}{PRII(r10)}-\href{#PROI}{PROI(r10)}\right) } ^\href{#sigma_oR}{sigma\_oR(r10)} \]

Equation 29: IIN
For g28 in goods_e, r10 in regions (50 total):

\[ \href{#IIN}{IIN(g28,r10)} = \href{#delta_eR}{delta\_eR(g28,r10)}*\href{#IITE}{IITE(r10)} *exp{ \left( \href{#PRIE}{PRIE(r10)}-\href{#PRY}{PRY(g28,r10)}\right) } ^\href{#sigma_eR}{sigma\_eR(r10)} \]

Equation 30: IIN
For g30 in goods_m, r10 in regions (90 total):

\[ \href{#IIN}{IIN(g30,r10)} = \href{#delta_mR}{delta\_mR(g30,r10)}*\href{#IITO}{IITO(r10)} *exp{ \left( \href{#PROI}{PROI(r10)}-\href{#PRY}{PRY(g30,r10)}\right) } ^\href{#sigma_mR}{sigma\_mR(r10)} \]

Equation 31: LABO
For r10 in regions (10 total):

\[ \href{#LABO}{LABO(r10)} = \href{#IITL}{IITL(r10)}+\href{#CNPL}{CNPL(r10)} +\href{#GOVL}{GOVL(r10)} +\sum_{s1 \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(\href{#LAB}{LAB(s1,r10)}\right) } \]

Equation 32: PRS
For g33 in goods_o, r10 in regions (140 total):

\[ \href{#PRS}{PRS(g33,r10)} = \href{#cd_df}{cd\_df(g33,r10)} *{(\href{#delta_dom}{delta\_dom(g33,r10)}*\href{#PRD}{PRD(g33,r10)} +{(1-\href{#delta_dom}{delta\_dom(g33,r10)})} *\href{#PMR}{PMR(g33,r10)})} +\frac{{({(1-\href{#cd_df}{cd\_df(g33,r10)})} *ln{ \left( \href{#delta_dom}{delta\_dom(g33,r10)} *exp{ \left(\href{#PRD}{PRD(g33,r10)}\right) } ^{(1-\href{#sigma_df}{sigma\_df(g33,r10)})} +{(1-\href{#delta_dom}{delta\_dom(g33,r10)})} *exp{ \left(\href{#PMR}{PMR(g33,r10)}\right) } ^{(1-\href{#sigma_df}{sigma\_df(g33,r10)})}\right) })}}{{(1 -\href{#sigma_df}{sigma\_df(g33,r10)} *{(1-\href{#cd_df}{cd\_df(g33,r10)})})}} \]

Equation 33: PRY
For g27 in goods, r10 in regions (220 total):

\[ \href{#PRY}{PRY(g27,r10)} = ln{ \left(1+\href{#TAX}{TAX(g27,r10)}\right) } +\href{#PRS}{PRS(g27,r10)} \]

Equation 34: PMR
For d in dest, g33 in goods_o (140 total):

\[ \href{#PMR}{PMR(g33,d)} = 0.0 +\href{#cd_ff}{cd\_ff(g33,d)} *\sum_{o1 \; \text{in} \; \href{#orig}{orig}} { \left(\href{#delta_ff}{delta\_ff(g33,d,o1)} *ln{ \left( \href{#BCT}{BCT(g33,d,o1)} +{(1 +{(\href{#TIM}{TIM(g33,d,o1)}+\href{#TIX}{TIX(g33,d)})} *\href{#MUL}{MUL(d,o1)} +\href{#TIF}{TIF(g33,d)}*\href{#FTA}{FTA(d,o1)})} *exp{ \left(\href{#PIM}{PIM(g33,d,o1)}\right) }\right) }\right) } +\frac{{({(1-\href{#cd_ff}{cd\_ff(g33,d)})} *ln{ \left( \sum_{o1 \; \text{in} \; \href{#orig}{orig}} { \left(\href{#delta_ff}{delta\_ff(g33,d,o1)} *{(\href{#BCT}{BCT(g33,d,o1)} +{(1 +{(\href{#TIM}{TIM(g33,d,o1)}+\href{#TIX}{TIX(g33,d)})} *\href{#MUL}{MUL(d,o1)} +\href{#TIF}{TIF(g33,d)}*\href{#FTA}{FTA(d,o1)})} *exp{ \left(\href{#PIM}{PIM(g33,d,o1)}\right) })} ^{(1-\href{#sigma_ff}{sigma\_ff(g33,d)})}\right) }\right) })}}{{(1 -\href{#sigma_ff}{sigma\_ff(g33,d)}*{(1-\href{#cd_ff}{cd\_ff(g33,d)})})}} \]

Equation 35: PRIM
For r10 in regions (10 total):

\[ \href{#PRIM}{PRIM(r10)} = \sum_{g33 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(\href{#prim_weight}{prim\_weight(g33,r10)} *\href{#PMQ}{PMQ(g33,r10)}\right) } \]

Equation 36: PRIE
For r10 in regions (10 total):

\[ \href{#PRIE}{PRIE(r10)} = \href{#cd_eR}{cd\_eR(r10)} *\sum_{g28 \; \text{in} \; \href{#goods_e}{goods\_e}} { \left(\href{#delta_eR}{delta\_eR(g28,r10)}*\href{#PRY}{PRY(g28,r10)}\right) } +\frac{{({(1-\href{#cd_eR}{cd\_eR(r10)})} *ln{ \left( \sum_{g28 \; \text{in} \; \href{#goods_e}{goods\_e}} { \left(\href{#delta_eR}{delta\_eR(g28,r10)} *exp{ \left(\href{#PRY}{PRY(g28,r10)}\right) } ^{(1-\href{#sigma_eR}{sigma\_eR(r10)})}\right) }\right) })}}{{(1 -\href{#sigma_eR}{sigma\_eR(r10)}*{(1-\href{#cd_eR}{cd\_eR(r10)})})}} \]

Equation 37: PROI
For r10 in regions (10 total):

\[ \href{#PROI}{PROI(r10)} = \href{#cd_mR}{cd\_mR(r10)} *\sum_{g30 \; \text{in} \; \href{#goods_m}{goods\_m}} { \left(\href{#delta_mR}{delta\_mR(g30,r10)}*\href{#PRY}{PRY(g30,r10)}\right) } +\frac{{({(1-\href{#cd_mR}{cd\_mR(r10)})} *ln{ \left( \sum_{g30 \; \text{in} \; \href{#goods_m}{goods\_m}} { \left(\href{#delta_mR}{delta\_mR(g30,r10)} *exp{ \left(\href{#PRY}{PRY(g30,r10)}\right) } ^{(1-\href{#sigma_mR}{sigma\_mR(r10)})}\right) }\right) })}}{{(1 -\href{#sigma_mR}{sigma\_mR(r10)}*{(1-\href{#cd_mR}{cd\_mR(r10)})})}} \]

Equation 38: PRD
For g27 in goods, r10 in regions (220 total):

\[ \href{#PRD}{PRD(g27,r10)} = ln{ \left( exp{ \left( \sum_{s25 \; \text{in} \; \href{#sectors}{sectors}} { \left(\href{#makeinv}{makeinv(g27,s25,r10)}*\href{#PRP}{PRP(s25,r10)}\right) }\right) }\right) } \]

Equation 39: PRP
For r10 in regions, s1 in sec_std (210 total):

\[ \href{#PRP}{PRP(s1,r10)} = \href{#cd_o}{cd\_o(s1,r10)} *{(\href{#delta_o}{delta\_o(\text{k},s1,r10)} *\href{#PRK}{PRK(s1,r10)} +\href{#delta_o}{delta\_o(\text{l},s1,r10)} *\href{#WAG}{WAG(s1,r10)} +\href{#delta_o}{delta\_o(\text{e},s1,r10)} *\href{#PRE}{PRE(s1,r10)} +\href{#delta_o}{delta\_o(\text{m},s1,r10)} *\href{#POI}{POI(s1,r10)} -\href{#delta_o}{delta\_o(\text{l},s1,r10)} *\href{#SHL}{SHL(r10,s1)} -\href{#delta_o}{delta\_o(\text{k},s1,r10)} *\href{#SHK}{SHK(s1,r10)} -\href{#delta_o}{delta\_o(\text{e},s1,r10)} *\href{#SHEF}{SHEF(s1,r10)})} +\frac{{({(1-\href{#cd_o}{cd\_o(s1,r10)})} *ln{ \left( \href{#delta_o}{delta\_o(\text{k},s1,r10)} *exp{ \left( \href{#PRK}{PRK(s1,r10)}-\href{#SHK}{SHK(s1,r10)}\right) } ^{(1-\href{#sigma_o}{sigma\_o(s1,r10)})} +\href{#delta_o}{delta\_o(\text{l},s1,r10)} *exp{ \left( \href{#WAG}{WAG(s1,r10)}-\href{#SHL}{SHL(r10,s1)}\right) } ^{(1-\href{#sigma_o}{sigma\_o(s1,r10)})} +\href{#delta_o}{delta\_o(\text{e},s1,r10)} *exp{ \left( \href{#PRE}{PRE(s1,r10)}-\href{#SHEF}{SHEF(s1,r10)}\right) } ^{(1-\href{#sigma_o}{sigma\_o(s1,r10)})} +\href{#delta_o}{delta\_o(\text{m},s1,r10)} *exp{ \left(\href{#POI}{POI(s1,r10)}\right) } ^{(1-\href{#sigma_o}{sigma\_o(s1,r10)})}\right) })}}{{(1 -\href{#sigma_o}{sigma\_o(s1,r10)}*{(1-\href{#cd_o}{cd\_o(s1,r10)})})}} -\href{#SHY}{SHY(s1,r10)} \]

Equation 40: PRII
For r10 in regions (10 total):

\[ \href{#PRII}{PRII(r10)} = \href{#cd_oR}{cd\_oR(r10)} *{(\href{#delta_oR}{delta\_oR(\text{k},r10)} *\href{#PRKY}{PRKY(r10)} +\href{#delta_oR}{delta\_oR(\text{l},r10)} *\href{#WAGE}{WAGE(r10)} +\href{#delta_oR}{delta\_oR(\text{e},r10)} *\href{#PRIE}{PRIE(r10)} +\href{#delta_oR}{delta\_oR(\text{m},r10)} *\href{#PROI}{PROI(r10)} -\href{#delta_oR}{delta\_oR(\text{l},r10)} *\href{#SHLY}{SHLY(r10)})} +\frac{{({(1-\href{#cd_oR}{cd\_oR(r10)})} *ln{ \left( \href{#delta_oR}{delta\_oR(\text{k},r10)} *exp{ \left(\href{#PRKY}{PRKY(r10)}\right) } ^{(1-\href{#sigma_oR}{sigma\_oR(r10)})} +\href{#delta_oR}{delta\_oR(\text{l},r10)} *exp{ \left( \href{#WAGE}{WAGE(r10)}-\href{#SHLY}{SHLY(r10)}\right) } ^{(1-\href{#sigma_oR}{sigma\_oR(r10)})} +\href{#delta_oR}{delta\_oR(\text{e},r10)} *exp{ \left(\href{#PRIE}{PRIE(r10)}\right) } ^{(1-\href{#sigma_oR}{sigma\_oR(r10)})} +\href{#delta_oR}{delta\_oR(\text{m},r10)} *exp{ \left(\href{#PROI}{PROI(r10)}\right) } ^{(1-\href{#sigma_oR}{sigma\_oR(r10)})}\right) })}}{{(1 -\href{#sigma_oR}{sigma\_oR(r10)}*{(1-\href{#cd_oR}{cd\_oR(r10)})})}} -\href{#SHYY}{SHYY(r10)} \]

Equation 41: PRK
For r10 in regions, s1 in sec_std (210 total):

\[ \href{#PRK}{PRK(s1,r10)} = \href{#PRP}{PRP(s1,r10)} +\frac{ln{ \left( \frac{{(\href{#delta_o}{delta\_o(\text{k},s1,r10)} *\href{#OUP}{OUP(s1,r10)})}}{\href{#CAP}{CAP(s1,r10)}}\right) }}{\href{#sigma_o}{sigma\_o(s1,r10)}} +\frac{{({(\href{#SHY}{SHY(s1,r10)}+\href{#SHK}{SHK(s1,r10)})} *{(\href{#sigma_o}{sigma\_o(s1,r10)}-1)})}}{\href{#sigma_o}{sigma\_o(s1,r10)}} \]

Equation 42: PRKY
For r10 in regions (10 total):

\[ \href{#PRKY}{PRKY(r10)} = \href{#PRII}{PRII(r10)} +\frac{ln{ \left( \frac{{(\href{#delta_oR}{delta\_oR(\text{k},r10)} *\href{#INVT}{INVT(r10)})}}{\href{#CAPY}{CAPY(r10)}}\right) }}{\href{#sigma_oR}{sigma\_oR(r10)}} +\frac{{(\href{#SHYY}{SHYY(r10)}*{(\href{#sigma_oR}{sigma\_oR(r10)}-1)})}}{\href{#sigma_oR}{sigma\_oR(r10)}} \]

Equation 43: PRKZ
For r10 in regions (10 total):

\[ \href{#PRKZ}{PRKZ(r10)} = \href{#PRCT}{PRCT(r10)} +\frac{ln{ \left( \frac{{(\href{#delta_oH}{delta\_oH(\text{k},r10)} *\href{#CONP}{CONP(r10)})}}{\href{#CAPZ}{CAPZ(r10)}}\right) }}{\href{#sigma_oH}{sigma\_oH(r10)}} +\frac{{(\href{#SHYZ}{SHYZ(r10)}*{(\href{#sigma_oH}{sigma\_oH(r10)}-1)})}}{\href{#sigma_oH}{sigma\_oH(r10)}} \]

Equation 44: WAGE
For r10 in regions (10 total):

\[ lead({\href{#WAGE}{WAGE(r10)}}) = \href{#WAGE}{WAGE(r10)} +\href{#wage_p}{wage\_p(r10)} *{(lead({\href{#PRCT}{PRCT(r10)}})+\href{#PRXX}{PRXX(r10)} -\href{#PRCT}{PRCT(r10)})} +{(1-\href{#wage_p}{wage\_p(r10)})} *{(\href{#PRCT}{PRCT(r10)}-\href{#PRCL}{PRCL(r10)})} +\href{#wage_q}{wage\_q(r10)} *{(ln{ \left(\href{#LABO}{LABO(r10)}\right) } -ln{ \left(\href{#LABX}{LABX(r10)}\right) })} \]

Equation 45: WAGG
For r10 in regions (10 total):

\[ \href{#WAGG}{WAGG(r10)} = \href{#WAGE}{WAGE(r10)} \]

Equation 46: WAG
For r10 in regions, s1 in sec_std (210 total):

\[ \href{#WAG}{WAG(s1,r10)} = \href{#WAGE}{WAGE(r10)} \]

Equation 47: CAP
For r10 in regions, s1 in sec_std (210 total):

\[ lead({\href{#CAP}{CAP(s1,r10)}}) = \href{#JNV}{JNV(s1,r10)} +{(1-\href{#delta}{delta(r10)}-\href{#labgrow}{labgrow(r10)})} *\href{#CAP}{CAP(s1,r10)} \]

Equation 48: CAPY
For r10 in regions (10 total):

\[ lead({\href{#CAPY}{CAPY(r10)}}) = \href{#JNVY}{JNVY(r10)} +{(1-\href{#delta}{delta(r10)}-\href{#labgrow}{labgrow(r10)})} *\href{#CAPY}{CAPY(r10)} \]

Equation 49: CAPZ
For r10 in regions (10 total):

\[ lead({\href{#CAPZ}{CAPZ(r10)}}) = \href{#JNVZ}{JNVZ(r10)} +{(1-\href{#delta}{delta(r10)}-\href{#labgrow}{labgrow(r10)})} *\href{#CAPZ}{CAPZ(r10)} \]

Equation 50: INV
For r10 in regions, s1 in sec_std (210 total):

\[ \href{#INV}{INV(s1,r10)} = \frac{{({(1+.5*{(\href{#TOB}{TOB(s1,r10)}-1)})}*{(\href{#TOB}{TOB(s1,r10)}-1)} *\href{#CAP}{CAP(s1,r10)})}}{\href{#phi}{phi(s1,r10)}} *\href{#forei}{forei(s1,r10)} +\frac{{({(1+.5*{(\href{#TPA}{TPA(s1,r10)}-1)})}*{(\href{#TPA}{TPA(s1,r10)}-1)} *\href{#CAP}{CAP(s1,r10)})}}{\href{#phi}{phi(s1,r10)}} *{(1-\href{#forei}{forei(s1,r10)})} +\href{#SHKI}{SHKI(r10,s1)} \]

Equation 51: JNV
For r10 in regions, s1 in sec_std (210 total):

\[ \href{#JNV}{JNV(s1,r10)} = \frac{{(\href{#INV}{INV(s1,r10)} +\frac{\href{#phi}{phi(s1,r10)}}{2}*\href{#base_jk}{base\_jk(s1,r10)}^2 *\href{#CAP}{CAP(s1,r10)})}}{{(1 +\href{#phi}{phi(s1,r10)}*\href{#base_jk}{base\_jk(s1,r10)})}} \]

Equation 52: INVY
For r10 in regions (10 total):

\[ \href{#INVY}{INVY(r10)} = \href{#JNVY}{JNVY(r10)} *{(1 +\frac{{(\frac{\href{#phi_y}{phi\_y(r10)}}{2}*\href{#JNVY}{JNVY(r10)})}}{\href{#CAPY}{CAPY(r10)}})} \]

Equation 53: INVZ
For r10 in regions (10 total):

\[ \href{#INVZ}{INVZ(r10)} = \href{#JNVZ}{JNVZ(r10)} *{(1 +\frac{{(\frac{\href{#phi_z}{phi\_z(r10)}}{2}*\href{#JNVZ}{JNVZ(r10)})}}{\href{#CAPZ}{CAPZ(r10)}})} \]

Equation 54: JNVY
For r10 in regions (10 total):

\[ \href{#JNVY}{JNVY(r10)} = \frac{{(\href{#CAPY}{CAPY(r10)} *{(\href{#fore_i_y}{fore\_i\_y(r10)}*\href{#TOBY}{TOBY(r10)} +{(1-\href{#fore_i_y}{fore\_i\_y(r10)})}*\href{#TPAY}{TPAY(r10)} -1)})}}{\href{#phi_y}{phi\_y(r10)}} \]

Equation 55: JNVZ
For r10 in regions (10 total):

\[ \href{#JNVZ}{JNVZ(r10)} = \frac{{(\href{#CAPZ}{CAPZ(r10)} *{(\href{#fore_i_z}{fore\_i\_z(r10)}*\href{#TOBZ}{TOBZ(r10)} +{(1-\href{#fore_i_z}{fore\_i\_z(r10)})}*\href{#TPAZ}{TPAZ(r10)} -1)})}}{\href{#phi_z}{phi\_z(r10)}} \]

Equation 56: LAM
For r10 in regions, s1 in sec_std (210 total):

\[ lead({\href{#LAM}{LAM(s1,r10)}}) = {(1+\href{#INTR}{INTR(r10)}+\href{#RISE}{RISE(s1,r10)} +\href{#delta}{delta(r10)})} *\href{#LAM}{LAM(s1,r10)} -{(1-\href{#TCOR}{TCOR(r10)})} *exp{ \left( \href{#PRK}{PRK(s1,r10)}-\href{#PRID}{PRID(r10)}\right) } -{(1-\href{#TITC}{TITC(s1,r10)})} *exp{ \left( \href{#PRII}{PRII(r10)}-\href{#PRID}{PRID(r10)}\right) } *\frac{\href{#phi}{phi(s1,r10)}}{2} *\frac{\href{#JNV}{JNV(s1,r10)}}{\href{#CAP}{CAP(s1,r10)}} ^2 \]

Equation 57: LAMY
For r10 in regions (10 total):

\[ lead({\href{#LAMY}{LAMY(r10)}}) = {(1+\href{#INTR}{INTR(r10)}+\href{#RISY}{RISY(r10)} +\href{#delta}{delta(r10)})} *\href{#LAMY}{LAMY(r10)} -{(1-\href{#TCOR}{TCOR(r10)})} *exp{ \left( \href{#PRKY}{PRKY(r10)}-\href{#PRID}{PRID(r10)}\right) } -exp{ \left( \href{#PRII}{PRII(r10)}-\href{#PRID}{PRID(r10)}\right) } *\frac{\href{#phi_y}{phi\_y(r10)}}{2} *\frac{\href{#JNVY}{JNVY(r10)}}{\href{#CAPY}{CAPY(r10)}} ^2 \]

Equation 58: LAMZ
For r10 in regions (10 total):

\[ lead({\href{#LAMZ}{LAMZ(r10)}}) = {(1+\href{#INTR}{INTR(r10)}+\href{#RISZ}{RISZ(r10)} +\href{#delta}{delta(r10)})} *\href{#LAMZ}{LAMZ(r10)} -exp{ \left( \href{#PRKZ}{PRKZ(r10)}-\href{#PRID}{PRID(r10)}\right) } -{(1-\href{#TITCH}{TITCH(r10)})} *exp{ \left( \href{#PRII}{PRII(r10)}-\href{#PRID}{PRID(r10)}\right) } *\frac{\href{#phi_z}{phi\_z(r10)}}{2} *\frac{\href{#JNVZ}{JNVZ(r10)}}{\href{#CAPZ}{CAPZ(r10)}} ^2 \]

Equation 59: TOB
For r10 in regions, s1 in sec_std (210 total):

\[ \href{#TOB}{TOB(s1,r10)} = \frac{{(\href{#LAM}{LAM(s1,r10)} *exp{ \left( \href{#PRID}{PRID(r10)}-\href{#PRII}{PRII(r10)}\right) })}}{{(1-\href{#TITC}{TITC(s1,r10)})}} \]

Equation 60: TOBY
For r10 in regions (10 total):

\[ \href{#TOBY}{TOBY(r10)} = \href{#LAMY}{LAMY(r10)} *exp{ \left( \href{#PRID}{PRID(r10)}-\href{#PRII}{PRII(r10)}\right) } \]

Equation 61: TOBZ
For r10 in regions (10 total):

\[ \href{#TOBZ}{TOBZ(r10)} = \frac{{(\href{#LAMZ}{LAMZ(r10)} *exp{ \left( \href{#PRID}{PRID(r10)}-\href{#PRII}{PRII(r10)}\right) })}}{{(1-\href{#TITCH}{TITCH(r10)})}} \]

Equation 62: TPA
For r10 in regions, s1 in sec_std (210 total):

\[ lead({\href{#TPA}{TPA(s1,r10)}}) = \href{#TPA}{TPA(s1,r10)} +\href{#adapt}{adapt(r10)} *{(\href{#TOB}{TOB(s1,r10)}-\href{#TPA}{TPA(s1,r10)})} \]

Equation 63: TPAY
For r10 in regions (10 total):

\[ lead({\href{#TPAY}{TPAY(r10)}}) = \href{#TPAY}{TPAY(r10)} +\href{#adapt}{adapt(r10)} *{(\href{#TOBY}{TOBY(r10)}-\href{#TPAY}{TPAY(r10)})} \]

Equation 64: TPAZ
For r10 in regions (10 total):

\[ lead({\href{#TPAZ}{TPAZ(r10)}}) = \href{#TPAZ}{TPAZ(r10)} +\href{#adapt}{adapt(r10)} *{(\href{#TOBZ}{TOBZ(r10)}-\href{#TPAZ}{TPAZ(r10)})} \]

Equation 65: PRF
For r10 in regions, s1 in sec_std (210 total):

\[ \href{#PRF}{PRF(s1,r10)} = \frac{{(\href{#OUP}{OUP(s1,r10)} *exp{ \left(\href{#PRP}{PRP(s1,r10)}\right) } -\href{#ENT}{ENT(s1,r10)} *exp{ \left(\href{#PRE}{PRE(s1,r10)}\right) } -\href{#LAB}{LAB(s1,r10)} *exp{ \left(\href{#WAG}{WAG(s1,r10)}\right) } -\href{#OIN}{OIN(s1,r10)} *exp{ \left(\href{#POI}{POI(s1,r10)}\right) } -{(1-\href{#TITC}{TITC(s1,r10)})}*\href{#INV}{INV(s1,r10)} *exp{ \left(\href{#PRII}{PRII(r10)}\right) })}}{exp{ \left(\href{#PRID}{PRID(r10)}\right) }} \]

Equation 66: PRFY
For r10 in regions (10 total):

\[ \href{#PRFY}{PRFY(r10)} = \frac{{(\href{#INVT}{INVT(r10)} *exp{ \left(\href{#PRII}{PRII(r10)}\right) } -\href{#IITE}{IITE(r10)} *exp{ \left(\href{#PRIE}{PRIE(r10)}\right) } -\href{#IITL}{IITL(r10)} *exp{ \left(\href{#WAGE}{WAGE(r10)}\right) } -\href{#IITO}{IITO(r10)} *exp{ \left(\href{#PROI}{PROI(r10)}\right) } -\href{#INVY}{INVY(r10)} *exp{ \left(\href{#PRII}{PRII(r10)}\right) })}}{exp{ \left(\href{#PRID}{PRID(r10)}\right) }} \]

Equation 67: PRFZ
For r10 in regions (10 total):

\[ \href{#PRFZ}{PRFZ(r10)} = \frac{{(\href{#CONP}{CONP(r10)} *exp{ \left(\href{#PRCT}{PRCT(r10)}\right) } -\href{#CNPE}{CNPE(r10)} *exp{ \left(\href{#PRCE}{PRCE(r10)}\right) } -\href{#CNPL}{CNPL(r10)} *exp{ \left(\href{#WAGE}{WAGE(r10)}\right) } -\href{#CNPO}{CNPO(r10)} *exp{ \left(\href{#PRCO}{PRCO(r10)}\right) } -{(1-\href{#TITCH}{TITCH(r10)})}*\href{#INVZ}{INVZ(r10)} *exp{ \left(\href{#PRII}{PRII(r10)}\right) })}}{exp{ \left(\href{#PRID}{PRID(r10)}\right) }} \]

Equation 68: PRFT
For r10 in regions (10 total):

\[ \href{#PRFT}{PRFT(r10)} = \sum_{s1 \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(\href{#PRF}{PRF(s1,r10)}\right) } +\href{#PRFY}{PRFY(r10)} \]

Equation 69: STM
For r10 in regions, s1 in sec_std (210 total):

\[ \href{#STM}{STM(s1,r10)} = \frac{{(\href{#LAM}{LAM(s1,r10)}*\href{#CAP}{CAP(s1,r10)})}}{{(1-\href{#TITC}{TITC(s1,r10)})}} \]

Equation 70: STMT
For r10 in regions (10 total):

\[ \href{#STMT}{STMT(r10)} = \sum_{s1 \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(\href{#STM}{STM(s1,r10)}\right) } \]

Equation 71: INVP
For r10 in regions (10 total):

\[ \href{#INVP}{INVP(r10)} = \sum_{s1 \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(\href{#INV}{INV(s1,r10)}\right) } \]

Equation 72: INVT
For r10 in regions (10 total):

\[ \href{#INVT}{INVT(r10)} = \href{#INVY}{INVY(r10)}+\href{#INVZ}{INVZ(r10)} +\href{#INVP}{INVP(r10)} \]

Equation 73: PRID
For r10 in regions (10 total):

\[ \href{#PRID}{PRID(r10)} = \sum_{g27 \; \text{in} \; \href{#goods}{goods}} { \left(\href{#prid_weight}{prid\_weight(g27,r10)} *\href{#PRD}{PRD(g27,r10)}\right) } \]

Equation 74: PRIX
For r10 in regions (10 total):

\[ \href{#PRIX}{PRIX(r10)} = \sum_{g33 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(\href{#prix_weight}{prix\_weight(g33,r10)} *\href{#PRX}{PRX(g33,r10)}\right) } \]

Equation 75: OUTP
For r10 in regions (10 total):

\[ \href{#OUTP}{OUTP(r10)} = \frac{\sum_{g27 \; \text{in} \; \href{#goods}{goods}} { \left(exp{ \left(\href{#PRD}{PRD(g27,r10)}\right) } *\href{#OUG}{OUG(g27,r10)}\right) }}{exp{ \left(\href{#PRID}{PRID(r10)}\right) }} \]

Equation 76: OUTL
For r10 in regions (10 total):

\[ lead({\href{#OUTL}{OUTL(r10)}}) = \href{#OUTP}{OUTP(r10)} \]

Equation 77: INCM
For r10 in regions (10 total):

\[ \href{#INCM}{INCM(r10)} = \href{#TRAN}{TRAN(r10)}-\href{#TAXL}{TAXL(r10)} +\href{#INTR}{INTR(r10)}*\href{#BOND}{BOND(r10)} +\frac{\href{#IRAS}{IRAS(r10)}}{exp{ \left(\href{#REXN}{REXN(r10)}\right) }} +\href{#PRFZ}{PRFZ(r10)} +{(1-\href{#TCOR}{TCOR(r10)})}*\href{#PRFT}{PRFT(r10)} +\frac{{({(1-\href{#TINC}{TINC(r10)})} *{(exp{ \left(\href{#WAGE}{WAGE(r10)}\right) } *{(\href{#IITL}{IITL(r10)}+\href{#CNPL}{CNPL(r10)})} +exp{ \left(\href{#WAGG}{WAGG(r10)}\right) } *\href{#GOVL}{GOVL(r10)} +\sum_{s1 \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(exp{ \left(\href{#WAG}{WAG(s1,r10)}\right) } *\href{#LAB}{LAB(s1,r10)}\right) })})}}{exp{ \left(\href{#PRID}{PRID(r10)}\right) }} \]

Equation 78: CONP
For r10 in regions (10 total):

\[ \href{#CONP}{CONP(r10)} = \href{#fore_c}{fore\_c(r10)} *{(\href{#timepref}{timepref(r10)}+\href{#RISW}{RISW(r10)})} *\href{#WELT}{WELT(r10)} *exp{ \left( \href{#PRID}{PRID(r10)}-\href{#PRCT}{PRCT(r10)}\right) } +{(1-\href{#fore_c}{fore\_c(r10)})}*\href{#mpc}{mpc(r10)} *\href{#INCM}{INCM(r10)} *exp{ \left( \href{#PRID}{PRID(r10)}-\href{#PRCT}{PRCT(r10)}\right) } +\href{#SHKC}{SHKC(r10)} \]

Equation 79: IRAS
For o2 in owner (10 total):

\[ \href{#IRAS}{IRAS(o2)} = \sum_{c \; \text{in} \; \href{#currency}{currency}} { \left(\href{#INTR}{INTR(c)} *exp{ \left(\href{#REXN}{REXN(c)}\right) } *\href{#ASSE}{ASSE(c,o2)}\right) } \]

Equation 80: INAS
For o2 in owner (10 total):

\[ \href{#INAS}{INAS(o2)} = \sum_{c \; \text{in} \; \href{#currency}{currency}} { \left(\href{#INTN}{INTN(c)} *exp{ \left(\href{#REXN}{REXN(c)}\right) } *\href{#ASSE}{ASSE(c,o2)}\right) } \]

Equation 81: CNPL
For r10 in regions (10 total):

\[ \href{#CNPL}{CNPL(r10)} = exp{ \left( \href{#SHLZ}{SHLZ(r10)}+\href{#SHYZ}{SHYZ(r10)}\right) } ^{(\href{#sigma_oH}{sigma\_oH(r10)}-1)} *\href{#delta_oH}{delta\_oH(\text{l},r10)} *\href{#CONP}{CONP(r10)} *exp{ \left( \href{#PRCT}{PRCT(r10)}-\href{#WAGE}{WAGE(r10)}\right) } ^\href{#sigma_oH}{sigma\_oH(r10)} \]

Equation 82: CNPE
For r10 in regions (10 total):

\[ \href{#CNPE}{CNPE(r10)} = exp{ \left( \href{#SHEFC}{SHEFC(r10)}+\href{#SHYZ}{SHYZ(r10)}\right) } ^{(\href{#sigma_oH}{sigma\_oH(r10)}-1)} *\href{#delta_oH}{delta\_oH(\text{e},r10)} *\href{#CONP}{CONP(r10)} *exp{ \left( \href{#PRCT}{PRCT(r10)}-\href{#PRCE}{PRCE(r10)}\right) } ^\href{#sigma_oH}{sigma\_oH(r10)} \]

Equation 83: CNPO
For r10 in regions (10 total):

\[ \href{#CNPO}{CNPO(r10)} = exp{ \left(\href{#SHYZ}{SHYZ(r10)}\right) } ^{(\href{#sigma_oH}{sigma\_oH(r10)}-1)} *\href{#delta_oH}{delta\_oH(\text{m},r10)} *\href{#CONP}{CONP(r10)} *exp{ \left( \href{#PRCT}{PRCT(r10)}-\href{#PRCO}{PRCO(r10)}\right) } ^\href{#sigma_oH}{sigma\_oH(r10)} \]

Equation 84: CNPK
For r10 in regions (10 total):

\[ \href{#CNPK}{CNPK(r10)} = exp{ \left(\href{#SHYZ}{SHYZ(r10)}\right) } ^{(\href{#sigma_oH}{sigma\_oH(r10)}-1)} *\href{#delta_oH}{delta\_oH(\text{k},r10)} *\href{#CONP}{CONP(r10)} *exp{ \left( \href{#PRCT}{PRCT(r10)}-\href{#PRKZ}{PRKZ(r10)}\right) } ^\href{#sigma_oH}{sigma\_oH(r10)} \]

Equation 85: FDEN
For g28 in goods_e, r10 in regions (50 total):

\[ \href{#FDEN}{FDEN(g28,r10)} = \href{#CON}{CON(g28,r10)} \]

Equation 86: PRCT
For r10 in regions (10 total):

\[ \href{#PRCT}{PRCT(r10)} = \href{#cd_oH}{cd\_oH(r10)} *{(\href{#delta_oH}{delta\_oH(\text{k},r10)} *\href{#PRKZ}{PRKZ(r10)} +\href{#delta_oH}{delta\_oH(\text{l},r10)} *\href{#WAGE}{WAGE(r10)} +\href{#delta_oH}{delta\_oH(\text{e},r10)} *\href{#PRCE}{PRCE(r10)} +\href{#delta_oH}{delta\_oH(\text{m},r10)} *\href{#PRCO}{PRCO(r10)} -\href{#delta_oH}{delta\_oH(\text{l},r10)} *\href{#SHLZ}{SHLZ(r10)} -\href{#delta_oH}{delta\_oH(\text{e},r10)} *\href{#SHEFC}{SHEFC(r10)})} +\frac{{({(1-\href{#cd_oH}{cd\_oH(r10)})} *ln{ \left( \href{#delta_oH}{delta\_oH(\text{k},r10)} *exp{ \left(\href{#PRKZ}{PRKZ(r10)}\right) } ^{(1-\href{#sigma_oH}{sigma\_oH(r10)})} +\href{#delta_oH}{delta\_oH(\text{l},r10)} *exp{ \left( \href{#WAGE}{WAGE(r10)}-\href{#SHLZ}{SHLZ(r10)}\right) } ^{(1-\href{#sigma_oH}{sigma\_oH(r10)})} +\href{#delta_oH}{delta\_oH(\text{e},r10)} *exp{ \left( \href{#PRCE}{PRCE(r10)}-\href{#SHEFC}{SHEFC(r10)}\right) } ^{(1-\href{#sigma_oH}{sigma\_oH(r10)})} +\href{#delta_oH}{delta\_oH(\text{m},r10)} *exp{ \left(\href{#PRCO}{PRCO(r10)}\right) } ^{(1-\href{#sigma_oH}{sigma\_oH(r10)})}\right) })}}{{(1 -\href{#sigma_oH}{sigma\_oH(r10)}*{(1-\href{#cd_oH}{cd\_oH(r10)})})}} -\href{#SHYZ}{SHYZ(r10)} \]

Equation 87: PRGT
For r10 in regions (10 total):

\[ \href{#PRGT}{PRGT(r10)} = \frac{\href{#delta_oG}{delta\_oG(\text{e},r10)}}{{(\href{#delta_oG}{delta\_oG(\text{e},r10)} +\href{#delta_oG}{delta\_oG(\text{m},r10)})}} *\sum_{g28 \; \text{in} \; \href{#goods_e}{goods\_e}} { \left(\href{#delta_eG}{delta\_eG(g28,r10)}*\href{#PRY}{PRY(g28,r10)}\right) } +\frac{\href{#delta_oG}{delta\_oG(\text{m},r10)}}{{(\href{#delta_oG}{delta\_oG(\text{e},r10)} +\href{#delta_oG}{delta\_oG(\text{m},r10)})}} *\sum_{g30 \; \text{in} \; \href{#goods_m}{goods\_m}} { \left(\href{#delta_mG}{delta\_mG(g30,r10)}*\href{#PRY}{PRY(g30,r10)}\right) } \]

Equation 88: MONE
For r10 in regions (10 total):

\[ \href{#MONE}{MONE(r10)} = \href{#PRID}{PRID(r10)} +ln{ \left(\href{#OUTP}{OUTP(r10)}\right) } +\href{#int_elast}{int\_elast(r10)}*\href{#INTN}{INTN(r10)} +\href{#SHKM}{SHKM(r10)} \]

Equation 89: INTF
For r10 in regions (10 total):

\[ \href{#INTF}{INTF(r10)} = \href{#INTN}{INTN(r10)}-lead({\href{#PRID}{PRID(r10)}}) +\href{#PRID}{PRID(r10)} \]

Equation 90: INTR
For r10 in regions (10 total):

\[ \href{#INTR}{INTR(r10)} = \href{#INTF}{INTF(r10)}+\href{#RISR}{RISR(r10)} \]

Equation 91: INFP
For r10 in regions (10 total):

\[ \href{#INFP}{INFP(r10)} = \href{#PRID}{PRID(r10)}-\href{#PRDL}{PRDL(r10)} \]

Equation 92: PRCL
For r10 in regions (10 total):

\[ lead({\href{#PRCL}{PRCL(r10)}}) = \href{#PRCT}{PRCT(r10)} \]

Equation 93: PRDL
For r10 in regions (10 total):

\[ lead({\href{#PRDL}{PRDL(r10)}}) = \href{#PRID}{PRID(r10)} \]

Equation 94: GDPN
For r10 in regions (10 total):

\[ \href{#GDPN}{GDPN(r10)} = exp{ \left(\href{#PRCT}{PRCT(r10)}\right) } *\href{#CONP}{CONP(r10)} +exp{ \left(\href{#PRGT}{PRGT(r10)}\right) } *\href{#GCET}{GCET(r10)} +exp{ \left(\href{#PRII}{PRII(r10)}\right) } *\href{#INVT}{INVT(r10)} +exp{ \left(\href{#PRID}{PRID(r10)}\right) } *\href{#TBAL}{TBAL(r10)} +\sum_{g33 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(exp{ \left(\href{#PRII}{PRII(r10)}\right) } *\href{#INS}{INS(r10,g33)}\right) } \]

Equation 95: GDPR
For r10 in regions (10 total):

\[ \href{#GDPR}{GDPR(r10)} = \href{#CONP}{CONP(r10)}+\href{#GCET}{GCET(r10)} +\href{#INVT}{INVT(r10)} +\href{#TBAL}{TBAL(r10)} +\sum_{g33 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(\href{#INS}{INS(r10,g33)}\right) } \]

Equation 96: PGDP
For r10 in regions (10 total):

\[ \href{#PGDP}{PGDP(r10)} = ln{ \left(\href{#GDPN}{GDPN(r10)}\right) } -ln{ \left(\href{#GDPR}{GDPR(r10)}\right) } \]

Equation 97: GNPR
For r10 in regions (10 total):

\[ \href{#GNPR}{GNPR(r10)} = \href{#GDPR}{GDPR(r10)} +\frac{{(\href{#PBAL}{PBAL(r10)}+\href{#IRAS}{IRAS(r10)})}}{exp{ \left(\href{#REXN}{REXN(r10)}\right) }} \]

Equation 98: CURN
For r10 in regions (10 total):

\[ \href{#CURN}{CURN(r10)} = \href{#TBAL}{TBAL(r10)} +\frac{{(\href{#PBAL}{PBAL(r10)}+\href{#INAS}{INAS(r10)})}}{exp{ \left(\href{#REXN}{REXN(r10)}\right) }} \]

Equation 99: CURR
For r10 in regions (10 total):

\[ \href{#CURR}{CURR(r10)} = \href{#TBAU}{TBAU(r10)}+\href{#PBAL}{PBAL(r10)} +\href{#IRAS}{IRAS(r10)} \]

Equation 100: WELT
For r10 in regions (10 total):

\[ \href{#WELT}{WELT(r10)} = \href{#BOND}{BOND(r10)} +\frac{\href{#ASSU}{ASSU(r10)}}{exp{ \left(\href{#REXN}{REXN(r10)}\right) }} +\frac{{(\href{#mongdp}{mongdp(r10)} *exp{ \left(\href{#MONE}{MONE(r10)}\right) })}}{exp{ \left(\href{#PRID}{PRID(r10)}\right) }} +\href{#WELH}{WELH(r10)} +\href{#LAMY}{LAMY(r10)}*\href{#CAPY}{CAPY(r10)} +\href{#LAMZ}{LAMZ(r10)}*\href{#CAPZ}{CAPZ(r10)} +\sum_{s1 \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(\href{#STM}{STM(s1,r10)}\right) } \]

Equation 101: WELH
For r10 in regions (10 total):

\[ lead({\href{#WELH}{WELH(r10)}}) = {(1+\href{#RISW}{RISW(r10)}+\href{#RISH}{RISH(r10)} +\href{#INTR}{INTR(r10)} -\href{#labgrow}{labgrow(r10)})} *\href{#WELH}{WELH(r10)} -\href{#TRAN}{TRAN(r10)} +\href{#TAXH}{TAXH(r10)} +\href{#TAXL}{TAXL(r10)} -\frac{{(exp{ \left(\href{#WAGE}{WAGE(r10)}\right) } *{(\href{#IITL}{IITL(r10)}+\href{#CNPL}{CNPL(r10)})} +exp{ \left(\href{#WAGG}{WAGG(r10)}\right) } *\href{#GOVL}{GOVL(r10)} +\sum_{s1 \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(exp{ \left(\href{#WAG}{WAG(s1,r10)}\right) } *\href{#LAB}{LAB(s1,r10)}\right) })}}{exp{ \left(\href{#PRID}{PRID(r10)}\right) }} \]

Equation 102: SAVI
For r10 in regions (10 total):

\[ \href{#SAVI}{SAVI(r10)} = \href{#INVT}{INVT(r10)} *exp{ \left( \href{#PRII}{PRII(r10)}-\href{#PRID}{PRID(r10)}\right) } +\frac{\href{#CURR}{CURR(r10)}}{exp{ \left(\href{#REXN}{REXN(r10)}\right) }} +\href{#DEFI}{DEFI(r10)} \]

Equation 103: SAVN
For r10 in regions (10 total):

\[ \href{#SAVN}{SAVN(r10)} = \href{#INVT}{INVT(r10)} *exp{ \left( \href{#PRII}{PRII(r10)}-\href{#PRID}{PRID(r10)}\right) } +\href{#CURN}{CURN(r10)} +\href{#DEFN}{DEFN(r10)} \]

Equation 104: SAVT
For r10 in regions (10 total):

\[ \href{#SAVT}{SAVT(r10)} = \href{#INVT}{INVT(r10)} *exp{ \left( \href{#PRII}{PRII(r10)}-\href{#PRID}{PRID(r10)}\right) } +\href{#CURN}{CURN(r10)} \]

Equation 105: TBAL
For r10 in regions (10 total):

\[ \href{#TBAL}{TBAL(r10)} = \href{#EXQT}{EXQT(r10)}-\href{#IMQT}{IMQT(r10)} \]

Equation 106: TBAU
For r10 in regions (10 total):

\[ \href{#TBAU}{TBAU(r10)} = \href{#TBAL}{TBAL(r10)} *exp{ \left(\href{#REXN}{REXN(r10)}\right) } \]

Equation 107: EMCO2
For r10 in regions, s1 in sec_std (210 total):

\[ \href{#EMCO2}{EMCO2(s1,r10)} = \sum_{g28 \; \text{in} \; \href{#goods_e}{goods\_e}} { \left(\href{#co2coef}{co2coef(s1,g28,r10)}*\href{#EN}{EN(s1,g28,r10)}\right) } \]

Equation 108: EMCO2FD
For r10 in regions (10 total):

\[ \href{#EMCO2FD}{EMCO2FD(r10)} = \sum_{g28 \; \text{in} \; \href{#goods_e}{goods\_e}} { \left(\href{#co2coefFD}{co2coefFD(g28,r10)}*\href{#FDEN}{FDEN(g28,r10)}\right) } \]

Equation 109: EMCO
For r10 in regions (10 total):

\[ \href{#EMCO}{EMCO(r10)} = \sum_{s1 \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(\href{#EMCO2}{EMCO2(s1,r10)}\right) } +\href{#EMCO2FD}{EMCO2FD(r10)} \]

Equation 110: EXCH
For n1 in notUSA (9 total):

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

Equation 111: EXCL
For r10 in regions (10 total):

\[ lead({\href{#EXCL}{EXCL(r10)}}) = \href{#EXCH}{EXCH(r10)} \]

Equation 112: REXC
For r10 in regions (10 total):

\[ lead({\href{#REXC}{REXC(r10)}}) = \href{#REXC}{REXC(r10)}-\href{#INTR}{INTR(r10)} +\href{#INTR}{INTR(\text{USA})} +\href{#EXCR}{EXCR(r10)} \]

Equation 113: NEER
For d in dest (10 total):

\[ \href{#NEER}{NEER(d)} = {( -\sum_{o1 \; \text{in} \; \href{#orig}{orig}} { \left(\href{#eer_weight}{eer\_weight(d,o1)} *{(\href{#EXCH}{EXCH(o1)}-\href{#EXCH}{EXCH(d)})}\right) })} \]

Equation 114: REER
For d in dest (10 total):

\[ \href{#REER}{REER(d)} = {( -\sum_{o1 \; \text{in} \; \href{#orig}{orig}} { \left(\href{#eer_weight}{eer\_weight(d,o1)} *{(\href{#REXN}{REXN(o1)}-\href{#REXN}{REXN(d)})}\right) })} \]

Equation 115: ABUY
For o2 in owner (10 total):

\[ \href{#ABUY}{ABUY(o2)} = \sum_{a \; \text{in} \; \href{#abroad}{abroad}} { \left(\href{#ainv}{ainv(o2,a)}*\href{#CURR}{CURR(a)}\right) } \]

Equation 116: ASSE
For c in currency, o2 in owner (100 total):

\[ lead({\href{#ASSE}{ASSE(c,o2)}}) = \href{#ASSE}{ASSE(c,o2)}*{(1-\href{#labgrow}{labgrow(o2)})} +\frac{{(\href{#ashr}{ashr(c,o2)}*\href{#ABUY}{ABUY(o2)} +\href{#aeye}{aeye(c,o2)} *{(\href{#CURR}{CURR(o2)}-\href{#ABUY}{ABUY(o2)})})}}{exp{ \left(\href{#REXN}{REXN(c)}\right) }} \]

Equation 117: ASSU
For o2 in owner (10 total):

\[ \href{#ASSU}{ASSU(o2)} = \sum_{c \; \text{in} \; \href{#currency}{currency}} { \left(exp{ \left(\href{#REXN}{REXN(c)}\right) } *\href{#ASSE}{ASSE(c,o2)}\right) } \]

Equation 118: EYGR
For r10 in regions (10 total):

\[ \href{#EYGR}{EYGR(r10)} = ln{ \left(lead({\href{#OUTP}{OUTP(r10)}})\right) } -ln{ \left(\href{#OUTP}{OUTP(r10)}\right) } \]

Equation 119: EPRC
For r10 in regions (10 total):

\[ \href{#EPRC}{EPRC(r10)} = lead({\href{#PRCT}{PRCT(r10)}})-\href{#PRCT}{PRCT(r10)} \]

Equation 120: INFL
For r10 in regions (10 total):

\[ \href{#INFL}{INFL(r10)} = \href{#PRCT}{PRCT(r10)}-\href{#PRCL}{PRCL(r10)} \]

Equation 121: PRCOL
For r10 in regions (10 total):

\[ lead({\href{#PRCOL}{PRCOL(r10)}}) = \href{#PRCO}{PRCO(r10)} \]

Equation 122: INFCL
For r10 in regions (10 total):

\[ \href{#INFCL}{INFCL(r10)} = \href{#PRCO}{PRCO(r10)}-\href{#PRCOL}{PRCOL(r10)} \]

Equation 123: GNEN
For r10 in regions (10 total):

\[ \href{#GNEN}{GNEN(r10)} = exp{ \left(\href{#PRCT}{PRCT(r10)}\right) } *\href{#CONP}{CONP(r10)} +exp{ \left(\href{#PRID}{PRID(r10)}\right) } *\href{#GCET}{GCET(r10)} +exp{ \left(\href{#PRII}{PRII(r10)}\right) } *\href{#INVT}{INVT(r10)} +\sum_{g33 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(exp{ \left(\href{#PRII}{PRII(r10)}\right) } *\href{#INS}{INS(r10,g33)}\right) } \]

Equation 124: GNER
For r10 in regions (10 total):

\[ \href{#GNER}{GNER(r10)} = \href{#CONP}{CONP(r10)}+\href{#GCET}{GCET(r10)} +\href{#INVT}{INVT(r10)} +\sum_{g33 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(\href{#INS}{INS(r10,g33)}\right) } \]

Equation 125: INTN
For r10 in regions (10 total):

\[ \href{#INTN}{INTN(r10)} = \href{#mrule_r}{mrule\_r(r10)}*\href{#INTL}{INTL(r10)} +\href{#mrule_ex}{mrule\_ex(r10)} *{(\href{#EXCH}{EXCH(r10)}-\href{#EXCL}{EXCL(r10)} -\href{#EXCX}{EXCX(r10)})} +\href{#mrule_1}{mrule\_1(r10)} *{(\href{#INFL}{INFL(r10)}-\href{#INFX}{INFX(r10)})} +\href{#mrule_2}{mrule\_2(r10)} *{(\href{#INFP}{INFP(r10)}-\href{#INFX}{INFX(r10)})} +\href{#mrule_3}{mrule\_3(r10)} *{(\href{#INFCL}{INFCL(r10)}-\href{#INFX}{INFX(r10)})} +\href{#mrule_4}{mrule\_4(r10)} *{(\href{#PRCT}{PRCT(r10)}-\href{#PTAR}{PTAR(r10)})} +\href{#mrule_5}{mrule\_5(r10)} *{(\href{#PRID}{PRID(r10)}-\href{#PTAR}{PTAR(r10)})} +\href{#mrule_6}{mrule\_6(r10)} *{(\href{#WAGE}{WAGE(r10)}-\href{#PTAR}{PTAR(r10)})} +\href{#mrule_7}{mrule\_7(r10)}*0 +\href{#mrule_8}{mrule\_8(r10)} *{(ln{ \left(\href{#OUTP}{OUTP(r10)}\right) } -ln{ \left(\href{#OUTL}{OUTL(r10)}\right) } -\href{#ROGY}{ROGY(r10)})} +\href{#mrule_9}{mrule\_9(r10)} *{(ln{ \left(\href{#OUTP}{OUTP(r10)}\right) } -ln{ \left(\href{#OUTL}{OUTL(r10)}\right) } -\href{#ROGY}{ROGY(r10)} +\href{#INFP}{INFP(r10)} -\href{#INFX}{INFX(r10)})} +\href{#mrule_10}{mrule\_10(r10)} *{(ln{ \left(\href{#GDPN}{GDPN(r10)}\right) } -\href{#ROGY}{ROGY(r10)})} +\href{#mrule_11}{mrule\_11(r10)} *{(ln{ \left(\href{#OUTP}{OUTP(r10)}\right) } +\href{#PRID}{PRID(r10)})} +\href{#mrule_12}{mrule\_12(r10)} *ln{ \left( \href{#OUTP}{OUTP(r10)} *exp{ \left(\href{#PRID}{PRID(r10)}\right) } -\href{#TBAL}{TBAL(r10)}\right) } +\href{#mrule_13}{mrule\_13(r10)} *{(\href{#EPRC}{EPRC(r10)}-\href{#INFX}{INFX(r10)})} +\href{#mrule_14}{mrule\_14(r10)} *{(\href{#EYGR}{EYGR(r10)}-\href{#ROGY}{ROGY(r10)})} +\href{#mrule_15}{mrule\_15(r10)} *{(ln{ \left(\href{#GNEN}{GNEN(r10)}\right) } -\href{#ROGY}{ROGY(r10)})} \]

Equation 126: INTL
For r10 in regions (10 total):

\[ lead({\href{#INTL}{INTL(r10)}}) = \href{#INTN}{INTN(r10)} \]

Equation 127: GCE
For g28 in goods_e, r10 in regions (50 total):

\[ \href{#GCE}{GCE(g28,r10)} = \frac{{(\href{#delta_eG}{delta\_eG(g28,r10)} *\frac{\href{#delta_oG}{delta\_oG(\text{e},r10)}}{{(\href{#delta_oG}{delta\_oG(\text{e},r10)} +\href{#delta_oG}{delta\_oG(\text{m},r10)})}} *\href{#GOVS}{GOVS(r10)} *exp{ \left(\href{#PRGT}{PRGT(r10)}\right) })}}{exp{ \left(\href{#PRY}{PRY(g28,r10)}\right) }} \]

Equation 128: GCE
For g30 in goods_m, r10 in regions (90 total):

\[ \href{#GCE}{GCE(g30,r10)} = \frac{{(\href{#delta_mG}{delta\_mG(g30,r10)} *\frac{\href{#delta_oG}{delta\_oG(\text{m},r10)}}{{(\href{#delta_oG}{delta\_oG(\text{e},r10)} +\href{#delta_oG}{delta\_oG(\text{m},r10)})}} *\href{#GOVS}{GOVS(r10)} *exp{ \left(\href{#PRGT}{PRGT(r10)}\right) })}}{exp{ \left(\href{#PRY}{PRY(g30,r10)}\right) }} \]

Equation 129: GCET
For r10 in regions (10 total):

\[ \href{#GCET}{GCET(r10)} = \frac{\sum_{g33 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(\href{#GCE}{GCE(g33,r10)} *exp{ \left(\href{#PRY}{PRY(g33,r10)}\right) }\right) }}{exp{ \left(\href{#PRGT}{PRGT(r10)}\right) }} \]

Equation 130: GOVT
For r10 in regions (10 total):

\[ \href{#GOVT}{GOVT(r10)} = \href{#GCET}{GCET(r10)} +\href{#GOVL}{GOVL(r10)} *exp{ \left( \href{#WAGG}{WAGG(r10)}-\href{#PRID}{PRID(r10)}\right) } \]

Equation 131: TRAN
For r10 in regions (10 total):

\[ \href{#TRAN}{TRAN(r10)} = \href{#TRANX}{TRANX(r10)} +\href{#transgdp}{transgdp(r10)}*\href{#OUTP}{OUTP(r10)} \]

Equation 132: TXM
For d in dest, g33 in goods_o (140 total):

\[ \href{#TXM}{TXM(g33,d)} = \frac{\sum_{o1 \; \text{in} \; \href{#orig}{orig}} { \left({(\href{#TIM}{TIM(g33,d,o1)}*\href{#MUL}{MUL(d,o1)} +\href{#TIF}{TIF(g33,d)}*\href{#FTA}{FTA(d,o1)})} *exp{ \left(\href{#PIM}{PIM(g33,d,o1)}\right) } *\href{#IMP}{IMP(g33,d,o1)}\right) }}{exp{ \left(\href{#PRID}{PRID(d)}\right) }} \]

Equation 133: TAXM
For d in dest (10 total):

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

Equation 134: TAXX
For r10 in regions (10 total):

\[ \href{#TAXX}{TAXX(r10)} = \frac{\sum_{g33 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(\href{#TEX}{TEX(g33,r10)} *exp{ \left(\href{#PRS}{PRS(g33,r10)}\right) } *\href{#EXQ}{EXQ(g33,r10)}\right) }}{exp{ \left(\href{#PRID}{PRID(r10)}\right) }} \]

Equation 135: TAXH
For r10 in regions (10 total):

\[ \href{#TAXH}{TAXH(r10)} = \frac{{(\href{#TINC}{TINC(r10)} *{(exp{ \left(\href{#WAGE}{WAGE(r10)}\right) } *\href{#IITL}{IITL(r10)} +exp{ \left(\href{#WAGE}{WAGE(r10)}\right) } *\href{#CNPL}{CNPL(r10)} +exp{ \left(\href{#WAGG}{WAGG(r10)}\right) } *\href{#GOVL}{GOVL(r10)} +\sum_{s1 \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(exp{ \left(\href{#WAG}{WAG(s1,r10)}\right) } *\href{#LAB}{LAB(s1,r10)}\right) })} -\href{#TITCH}{TITCH(r10)} *exp{ \left(\href{#PRII}{PRII(r10)}\right) } *\href{#INVZ}{INVZ(r10)})}}{exp{ \left(\href{#PRID}{PRID(r10)}\right) }} \]

Equation 136: BOND
For r10 in regions (10 total):

\[ lead({\href{#BOND}{BOND(r10)}}) = \href{#DEFI}{DEFI(r10)} +\href{#BOND}{BOND(r10)}*{(1-\href{#labgrow}{labgrow(r10)})} -\href{#PBAG}{PBAG(r10)} \]

Equation 137: TAXL
For r10 in regions (10 total):

\[ \href{#TAXL}{TAXL(r10)} = \href{#INTR}{INTR(r10)}*\href{#BOND}{BOND(r10)} +\href{#TAXS}{TAXS(r10)} \]

Equation 138: TAXT
For r10 in regions (10 total):

\[ \href{#TAXT}{TAXT(r10)} = \href{#TAXC}{TAXC(r10)}+\href{#TAXH}{TAXH(r10)} +\href{#TAXL}{TAXL(r10)} +\href{#TAXM}{TAXM(r10)} +\href{#TAXX}{TAXX(r10)} +\href{#TAXE}{TAXE(r10)} \]

Equation 139: DEFI
For r10 in regions (10 total):

\[ \href{#DEFI}{DEFI(r10)} = \href{#GOVT}{GOVT(r10)}+\href{#TRAN}{TRAN(r10)} -\href{#TAXT}{TAXT(r10)} +\href{#INTR}{INTR(r10)}*\href{#BOND}{BOND(r10)} \]

Equation 140: DEFN
For r10 in regions (10 total):

\[ \href{#DEFN}{DEFN(r10)} = \href{#DEFI}{DEFI(r10)} +{(\href{#INTN}{INTN(r10)}-\href{#INTR}{INTR(r10)})} *\href{#BOND}{BOND(r10)} \]

Equation 141: PRT
For g28 in goods_e, r10 in regions, s1 in sec_std (1050 total):

\[ \href{#PRT}{PRT(s1,g28,r10)} = ln{ \left( exp{ \left(\href{#PRS}{PRS(g28,r10)}\right) } *{(1+\href{#TAX}{TAX(g28,r10)}+\href{#CTAV}{CTAV(s1,g28,r10)} +\href{#CTAVS}{CTAVS(r10)})} +\href{#TXGS}{TXGS(s1,g28,r10)} +\frac{{(\href{#c_scalar}{c\_scalar(r10)} *{(\href{#TCPS}{TCPS(s1,g28,r10)}+\href{#SCON}{SCON(r10)})} *\href{#co2coef}{co2coef(s1,g28,r10)})}}{100}\right) } \]

Equation 142: CON
For g28 in goods_e, r10 in regions (50 total):

\[ \href{#CON}{CON(g28,r10)} = \href{#delta_eH}{delta\_eH(g28,r10)}*\href{#CNPE}{CNPE(r10)} *exp{ \left( \href{#PRCE}{PRCE(r10)} -ln{ \left( exp{ \left(\href{#PRY}{PRY(g28,r10)}\right) } *{(1+\href{#CTFDAV}{CTFDAV(g28,r10)})} +\frac{{(\href{#c_scalar}{c\_scalar(r10)} *{(\href{#TCPSFD}{TCPSFD(g28,r10)}+\href{#SCON}{SCON(r10)})} *\href{#co2coefFD}{co2coefFD(g28,r10)})}}{100}\right) }\right) } ^\href{#sigma_eH}{sigma\_eH(r10)} \]

Equation 143: CON
For g31 in goods_mc, r10 in regions (80 total):

\[ \href{#CON}{CON(g31,r10)} = \href{#delta_mH}{delta\_mH(g31,r10)}*\href{#CNPO}{CNPO(r10)} *exp{ \left( \href{#PRCO}{PRCO(r10)}-\href{#PRY}{PRY(g31,r10)}\right) } ^\href{#sigma_mH}{sigma\_mH(r10)} \]

Equation 144: EN
For g28 in goods_e, r10 in regions, s1 in sec_std (1050 total):

\[ \href{#EN}{EN(s1,g28,r10)} = \href{#delta_e}{delta\_e(r10,s1,g28)}*\href{#ENT}{ENT(s1,r10)} *exp{ \left( \href{#PRE}{PRE(s1,r10)}-\href{#PRT}{PRT(s1,g28,r10)}\right) } ^\href{#sigma_e}{sigma\_e(s1,r10)} \]

Equation 145: OI
For g30 in goods_m, r10 in regions, s1 in sec_std (1890 total):

\[ \href{#OI}{OI(s1,g30,r10)} = \href{#delta_m}{delta\_m(r10,s1,g30)}*\href{#OIN}{OIN(s1,r10)} *exp{ \left( \href{#POI}{POI(s1,r10)}-\href{#PRY}{PRY(g30,r10)}\right) } ^\href{#sigma_m}{sigma\_m(s1,r10)} \]

Equation 146: PRE
For r10 in regions, s1 in sec_std (210 total):

\[ \href{#PRE}{PRE(s1,r10)} = \href{#cd_e}{cd\_e(s1,r10)} *\sum_{g28 \; \text{in} \; \href{#goods_e}{goods\_e}} { \left(\href{#delta_e}{delta\_e(r10,s1,g28)}*\href{#PRT}{PRT(s1,g28,r10)}\right) } +\frac{{({(1-\href{#cd_e}{cd\_e(s1,r10)})} *ln{ \left( \sum_{g28 \; \text{in} \; \href{#goods_e}{goods\_e}} { \left(\href{#delta_e}{delta\_e(r10,s1,g28)} *exp{ \left(\href{#PRT}{PRT(s1,g28,r10)}\right) } ^{(1-\href{#sigma_e}{sigma\_e(s1,r10)})}\right) }\right) })}}{{(1 -\href{#sigma_e}{sigma\_e(s1,r10)}*{(1-\href{#cd_e}{cd\_e(s1,r10)})})}} \]

Equation 147: POI
For r10 in regions, s1 in sec_std (210 total):

\[ \href{#POI}{POI(s1,r10)} = \href{#cd_m}{cd\_m(s1,r10)} *\sum_{g30 \; \text{in} \; \href{#goods_m}{goods\_m}} { \left(\href{#delta_m}{delta\_m(r10,s1,g30)}*\href{#PRY}{PRY(g30,r10)}\right) } +\frac{{({(1-\href{#cd_m}{cd\_m(s1,r10)})} *ln{ \left( \sum_{g30 \; \text{in} \; \href{#goods_m}{goods\_m}} { \left(\href{#delta_m}{delta\_m(r10,s1,g30)} *exp{ \left(\href{#PRY}{PRY(g30,r10)}\right) } ^{(1-\href{#sigma_m}{sigma\_m(s1,r10)})}\right) }\right) })}}{{(1 -\href{#sigma_m}{sigma\_m(s1,r10)}*{(1-\href{#cd_m}{cd\_m(s1,r10)})})}} \]

Equation 148: PRCE
For r10 in regions (10 total):

\[ \href{#PRCE}{PRCE(r10)} = \href{#cd_eH}{cd\_eH(r10)} *\sum_{g28 \; \text{in} \; \href{#goods_e}{goods\_e}} { \left(\href{#delta_eH}{delta\_eH(g28,r10)} *ln{ \left( exp{ \left(\href{#PRY}{PRY(g28,r10)}\right) } *{(1+\href{#CTFDAV}{CTFDAV(g28,r10)})} +\frac{{(\href{#c_scalar}{c\_scalar(r10)} *{(\href{#TCPSFD}{TCPSFD(g28,r10)}+\href{#SCON}{SCON(r10)})} *\href{#co2coefFD}{co2coefFD(g28,r10)})}}{100}\right) }\right) } +\frac{{({(1-\href{#cd_eH}{cd\_eH(r10)})} *ln{ \left( \sum_{g28 \; \text{in} \; \href{#goods_e}{goods\_e}} { \left(\href{#delta_eH}{delta\_eH(g28,r10)} *{(exp{ \left(\href{#PRY}{PRY(g28,r10)}\right) } *{(1+\href{#CTFDAV}{CTFDAV(g28,r10)})} +\frac{{(\href{#c_scalar}{c\_scalar(r10)} *{(\href{#TCPSFD}{TCPSFD(g28,r10)}+\href{#SCON}{SCON(r10)})} *\href{#co2coefFD}{co2coefFD(g28,r10)})}}{100})} ^{(1-\href{#sigma_eH}{sigma\_eH(r10)})}\right) }\right) })}}{{(1 -\href{#sigma_eH}{sigma\_eH(r10)}*{(1-\href{#cd_eH}{cd\_eH(r10)})})}} \]

Equation 149: PRCO
For r10 in regions (10 total):

\[ \href{#PRCO}{PRCO(r10)} = \href{#cd_mH}{cd\_mH(r10)} *\sum_{g30 \; \text{in} \; \href{#goods_m}{goods\_m}} { \left(\href{#delta_mH}{delta\_mH(g30,r10)}*\href{#PRY}{PRY(g30,r10)}\right) } +\frac{{({(1-\href{#cd_mH}{cd\_mH(r10)})} *ln{ \left( \sum_{g30 \; \text{in} \; \href{#goods_m}{goods\_m}} { \left(\href{#delta_mH}{delta\_mH(g30,r10)} *exp{ \left(\href{#PRY}{PRY(g30,r10)}\right) } ^{(1-\href{#sigma_mH}{sigma\_mH(r10)})}\right) }\right) })}}{{(1 -\href{#sigma_mH}{sigma\_mH(r10)}*{(1-\href{#cd_mH}{cd\_mH(r10)})})}} \]

Equation 150: TAXE
For r10 in regions (10 total):

\[ \href{#TAXE}{TAXE(r10)} = \href{#RVGS}{RVGS(r10)}+\href{#RVCTAV}{RVCTAV(r10)} \]

Equation 151: TAXC
For r10 in regions (10 total):

\[ \href{#TAXC}{TAXC(r10)} = \href{#TCOR}{TCOR(r10)} *{(\sum_{s1 \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(\href{#PRF}{PRF(s1,r10)}\right) } +\href{#PRFY}{PRFY(r10)})} +\frac{{(\sum_{g27 \; \text{in} \; \href{#goods}{goods}} { \left(\href{#TAX}{TAX(g27,r10)} *exp{ \left(\href{#PRD}{PRD(g27,r10)}\right) } *\href{#OUG}{OUG(g27,r10)}\right) } +\sum_{g33 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(\href{#TAX}{TAX(g33,r10)} *exp{ \left(\href{#PMR}{PMR(g33,r10)}\right) } *\href{#IMQ}{IMQ(g33,r10)}\right) } -\sum_{s1 \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(\href{#TITC}{TITC(s1,r10)} *exp{ \left(\href{#PRII}{PRII(r10)}\right) } *\href{#INV}{INV(s1,r10)}\right) } -\sum_{g33 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(\href{#TAX}{TAX(g33,r10)} *exp{ \left(\href{#PRS}{PRS(g33,r10)}\right) } *\href{#EXQ}{EXQ(g33,r10)}\right) })}}{exp{ \left(\href{#PRID}{PRID(r10)}\right) }} \]

Equation 152: OUY
For g29 in goods_g, r10 in regions (80 total):

\[ \href{#OUY}{OUY(g29,r10)} = \href{#ELE}{ELE(g29,r10)} \]

Equation 153: OUG
For g29 in goods_g, r10 in regions (80 total):

\[ \href{#OUG}{OUG(g29,r10)} = \href{#OUY}{OUY(g29,r10)} \]

Equation 154: ELE
For g29 in goods_g, r10 in regions (80 total):

\[ \href{#ELE}{ELE(g29,r10)} = exp{ \left(\href{#SHY}{SHY(\text{a01},r10)}\right) } ^{(\href{#sigma_ed}{sigma\_ed(r10)}-1)} *\href{#delta_ed}{delta\_ed(r10,g29)} *\href{#OUP}{OUP(\text{a01},r10)} *\frac{exp{ \left(\href{#PRP}{PRP(\text{a01},r10)}\right) }}{exp{ \left(\href{#PRY}{PRY(g29,r10)}\right) }} ^\href{#sigma_ed}{sigma\_ed(r10)} \]

Equation 155: PRS
For g29 in goods_g, r10 in regions (80 total):

\[ \href{#PRS}{PRS(g29,r10)} = \href{#PRD}{PRD(g29,r10)} \]

Equation 156: PED
For r10 in regions (10 total):

\[ \href{#PED}{PED(r10)} = \href{#cd_ed}{cd\_ed(r10)} *\sum_{g29 \; \text{in} \; \href{#goods_g}{goods\_g}} { \left(\href{#delta_ed}{delta\_ed(r10,g29)}*\href{#PRY}{PRY(g29,r10)}\right) } +\frac{{({(1-\href{#cd_ed}{cd\_ed(r10)})} *ln{ \left( \sum_{g29 \; \text{in} \; \href{#goods_g}{goods\_g}} { \left(\href{#delta_ed}{delta\_ed(r10,g29)} *exp{ \left(\href{#PRY}{PRY(g29,r10)}\right) } ^{(1-\href{#sigma_ed}{sigma\_ed(r10)})}\right) }\right) })}}{{(1 -\href{#sigma_ed}{sigma\_ed(r10)}*{(1-\href{#cd_ed}{cd\_ed(r10)})})}} -\href{#SHY}{SHY(\text{a01},r10)} \]

Equation 157: PRP
For r10 in regions (10 total):

\[ \href{#PRP}{PRP(\text{a01},r10)} = \href{#PED}{PED(r10)} \]

Equation 158: REXN
For r10 in regions (10 total):

\[ \href{#REXN}{REXN(r10)} = \href{#REXC}{REXC(r10)} \]

Equation 159: REXB

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

Equation 160: REXL

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

G-Cubed model_22P_181