G-Cubed model_20C

Name	Elements	Description
abroad	USA, JPN, AUS, EUR, CAN, ADV, CHN, IND, ROW, RUS, OIL	used in asset calculations
currency	USA, JPN, AUS, EUR, CAN, ADV, CHN, IND, ROW, RUS, OIL	currency of assets
dest	USA, JPN, AUS, EUR, CAN, ADV, CHN, IND, ROW, RUS, OIL	alias for regions
domfor	D, F	domestic vs foreign
factors	K, L, E, M	top tier factors of production
fgen	a13, a14, a15
good_coal	g04	coal
good_coal_generation	g13	coal electricity generation
good_construction	g06	construction output
good_durable_manufacturing	g09	durable manufacturing goods
good_electricity_distribution	g01	electricity
good_gas	g02	natural gas
good_gas_generation	g14	gas electricity generation
good_hydro_generation	g19	hydro electricity generation
good_nondurable_manufacturing	g10	non-durable manufacturing goods
good_nuclear_generation	g16	nuclear electricity generation
good_oil	g05	crude oil
good_oil_generation	g15	oil electricity generation
good_oil_refining	g03	liquid fossil fuels from oil-refining
good_other_agriculture	g08	agriculture, forestry, fishing and hunting products
good_other_generation	g20	other electricity generation
good_other_mining	g07	other mining products
good_services	g12	services
good_solar_generation	g18	solar electricity generation
good_transportation	g11	transportation
good_wind_generation	g17	wind electricity generation
goods	g01, g02, g03, g04, g05, g06, g07, g08, g09, g10, g11, g12, g13, g14, g15, g16, g17, g18, g19, g20	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	g13, g14, g15, g16, g17, g18, g19, g20	electricity generation
goods_m	g06, g07, g08, g09, g10, g11, g12	material goods
goods_mc	g06, g07, g08, g10, g11, g12	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	Non-energy goods
goods_o	g01, g02, g03, g04, g05, g06, g07, g08, g09, g10, g11, g12	ordinary goods - those with standard treatment
goods_oc	g01, g02, g03, g04, g05, g06, g07, g08, g10, g11, g12	Ordinary goods less durable manufacturing - those ordinary goods consumed directly
notROW	USA, JPN, AUS, EUR, CAN, ADV, CHN, IND, RUS, OIL	used in CURR equation
notUSA	JPN, AUS, EUR, CAN, ADV, CHN, IND, ROW, RUS, OIL	used with REXC equation
oecd	USA, JPN, AUS, EUR, CAN, ADV	OECD countries
orig	USA, JPN, AUS, EUR, CAN, ADV, CHN, IND, ROW, RUS, OIL	alias for regions
owner	USA, JPN, AUS, EUR, CAN, ADV, CHN, IND, ROW, RUS, OIL	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	Other oil-exporting and middle east countries
region_ROW	ROW	Rest of World
region_RUS	RUS	Russia
region_USA	USA	United States
regions	USA, JPN, AUS, EUR, CAN, ADV, CHN, IND, ROW, RUS, OIL	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	sectors with standard treatment
sector_coal	a04	coal mining sector
sector_coal_generation	a13	coal electricity generation sector
sector_construction	a06	construction sector
sector_durable_manufacturing	a09	durable manufacturing sector
sector_gas	a02	gas extraction and utilities sector
sector_gas_generation	a14	gas electricity generation sector
sector_hydro_generation	a19	hydro electricity generation sector
sector_nondurable_manufacturing	a10	non-durable manufacturing sector
sector_nuclear_generation	a16	nuclear electricity generation sector
sector_oil	a05	crude oil extraction sector
sector_oil_generation	a15	oil electricity generation sector
sector_oil_refining	a03	liquid fossil fuel refining sector
sector_other_agriculture	a08	agriculture, forestry, fishing and hunting sector
sector_other_generation	a20	other electricity generation sector
sector_other_mining	a07	other mining sector
sector_services	a12	services sector
sector_solar_generation	a18	solar electricity generation sector
sector_transportation	a11	transportation sector
sector_wind_generation	a17	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	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	a13, a14, a15, a16, a17, a18, a19, a20	electricity generation sectors
sectors_m	a06, a07, a08, a09, a10, a11, a12	material sectors
sectors_n	a06, a07, a08, a09, a10, a11, a12, a13, a14, a15, a16, a17, a18, a19, a20	Non-energy sectors
sectors_o	a01, a02, a03, a04, a05, a06, a07, a08, a09, a10, a11, a12	non electricity generation sectors
sectors_os	a02, a03, a04, a05, a06, a07, a08, a09, a10, a11, a12	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	113	114
ASSE	currency, owner	assets in each currency, including own	sta,usgdp	114	114, 115, 71, 72
ASSU	regions	assets held by region, in US$	end,gdp	115	92
BCOL	regions	Quads from coal	btu,exo	none	none
BCT	goods_o, dest, orig	unit border tax adjustment	dollar,exo	none	26, 7
BGAS	regions	Quads from gas	btu,exo	none	none
BOIL	regions	Quads from oil	btu,exo	none	none
BOND	regions	bonds	gdp,sta	135	135, 136, 138, 139, 69, 92
CAP	sec_std, regions	capital stock	gdp,logged,sta	39	33, 39, 42, 43, 48, 61
CAPY	regions	raw invt capital stock	gdp,logged,sta	40	34, 40, 44, 46, 49, 92
CAPZ	regions	household capital stock	gdp,logged,sta	41	35, 41, 45, 47, 50, 92
CNPE	regions	household demand for energy	end,gdp,logged	74	141, 59
CNPK	regions	household capital services	end,gdp,logged	76	none
CNPL	regions	household demand for labor	end,gdp,logged	73	134, 23, 59, 69, 93
CNPO	regions	household demand for material	end,gdp,logged	75	142, 59
CO2RATE	goods_g, regions	actual co2 per GWh	exo,gwh	none	160
CO2TAR	regions	target co2 per GWh	exo,gwh	none	160
CON	goods_oc, regions	household demand for goods	end,gdp,logged	141, 142	2, 3, 77
CONP	regions	national accounts consumption	end,gdp,logged	70	122, 123, 35, 59, 73, 74, 75, 76, 86, 87
CSHR	regions	Share of clean elec	del,end	159	none
CTAV	sec_std, goods_e, regions	ad valorem sector input tax	exo,pct	none	140
CTAVS	regions	shadow ad valorem sector input tax	exo,pct	none	140
CTFDAV	goods_e, regions	ad valorem final demand tax	exo,pct	none	141, 147
CURN	regions	domestic currency current account using nominal interest payments	end,gdp	90	95, 96
CURR	regions	USD current account using real interest payments	end,gdp	91	113, 114, 94
DEFI	regions	fiscal deficit (real interest rates)	end,gdp	138	135, 139, 94
DEFN	regions	fiscal deficit (nominal interest rates)	end,gdp	139	95
DEFX	regions	fiscal deficit shocks (real interest rates)	exo,gdp	none	none
ECOL	regions	CO2 emissions from coal	exo,mmt	none	none
EDRC	regions	Excess dem for rate credits	end,gwh	160	none
EGAS	regions	CO2 emissions from gas	exo,mmt	none	none
ELE	goods_g, regions	demand for G goods	end,gdp,logged	153	151
EMCO	regions	CO2 emissions	end,logged,mmtgdp	101	103
EMCO2	sec_std, regions	CO2 emissions by sector	end,logged,mmtgdp	99	101
EMCO2FD	regions	CO2 emissions final Demand	end,logged,mmtgdp	100	101
EMCOW		CO2 emissions, global	end,logged,mmtusgdp	107	none
EMIS	regions	carbon emissions	end,mmtgdp	103	104, 105
EMISW		carbon emissions, global	end,mmtusgdp	105	107
EMIT	regions	carbon emissions	end,mmtgdp	104	none
EMIX	regions	carbon emissions, exogenous	exo,mmtgdp	none	104
EN	sec_std, goods_e, regions	sector demand for energy goods	end,gdp,logged	143	161, 162, 163, 2, 99
ENER	regions	energy consumption	btugdp,end	102	106
ENERW		energy consumption, global	btuusgdp,end	106	none
ENT	sec_std, regions	sector demand for energy	end,gdp,logged	16	143, 57
EOIL	regions	CO2 emissions from oil	exo,mmt	none	none
EPRC	regions	expected consumer price inflation rate	end,intertemporal_constant,pct	117	124
EXCH	regions	exch rate as US$ per unit of region currency	idx,logged,stl	1, 108	109, 111, 124, 6
EXCL	regions	exch rate as US$ per unit of region currency - lagged	idx,lagged,logged,sta	109	124
EXCR	regions	country risk premium relative to US	exo,pct	none	110
EXCX	regions	exchange rate target percentage change	exo,pct	none	124
EXQ	goods_o, regions	exports, EXP.xx	end,gdp,logged	11	10, 102, 133, 150, 2, 3, 4
EXQT	regions	value of exports at source	end,gdp,logged	10	97
EYGR	regions	expected output growth	end,intertemporal_constant,pct	116	124
FDEN	goods_e, regions	final demand for energy goods	end,gdp,logged	77	100
GCE	goods_o, regions	government purchases of goods and services	end,gdp,logged	126, 127	128, 2, 3, 4
GCET	regions	national accounts government spending excluding labor	end,gdp,logged	128	122, 123, 129, 86, 87
GCOL	regions	GWH from coal	exo,gwh	none	none
GDPN	regions	GDP, nominal	end,gdp,logged	86	124, 88
GDPR	regions	GDP, real	end,gdp,logged	87	88, 89
GENCO2	fgen, regions	mmt co2 from gen	end,mmtgdp	161, 162, 163	164
GENRATE	regions	lbs co2 per MWh	end,pct	164	none
GGAS	regions	GWH from gas	exo,gwh	none	none
GHYDRO	regions	GWH from hyrdo	exo,gwh	none	none
GNEN	regions	GNE, nominal	end,gdp,logged	122	124
GNER	regions	GNE, real	end,gdp,logged	123	none
GNPR	regions	gross national product	end,gdp,logged	89	none
GNUC	regions	GWH from nuclear	exo,gwh	none	none
GOIL	regions	GWH from oil	exo,gwh	none	none
GOTHER	regions	GWH from other	exo,gwh	none	none
GOVL	regions	labor used by government	exo,gdp	none	129, 134, 23, 69, 93
GOVS	regions	government spending excluding labor	exo,gdp,logged	none	126, 127
GOVT	regions	national accounts government spending including labor	end,gdp,logged	129	138
GSOLAR	regions	GWH from solar	exo,gwh	none	none
GWHA	regions	Total GWh of generation	end,gwhgdp	157	159, 164
GWHC	regions	Clean GWh of generation	end,gwhgdp	158	156, 159
GWIND	regions	GWH from wind	exo,gwh	none	none
IIN	goods_o, regions	raw capital sector demand for goods	end,gdp,logged	21, 22	2, 3, 4
IITE	regions	raw capital sector demand for energy	end,gdp,logged	19	21, 58
IITL	regions	raw capital sector demand for labor	end,gdp,logged	18	134, 23, 58, 69, 93
IITO	regions	raw capital sector demand for material	end,gdp,logged	20	22, 58
IMP	goods_o, dest, orig	individual imports, IMP.xy	end,exclude_dest_equals_orig,gdp,logged	7	11, 131, 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,logged	5	150, 7, 8, 9
IMQT	regions	value of imports at destination	end,gdp,logged	9	97
INAS	regions	nominal USD net interest payments on foreign assets	end,gdp	72	90
INCM	regions	after tax household income	end,gdp,logged	69	70
INFCL	regions	household materials inflation rate	end,pct	120	124
INFL	regions	aggregate consumer price inflation	end,pct	118	124
INFP	regions	aggregate output price inflation	end,pct	83	124
INFX	regions	inflation target	exo,pct	none	124
INS	regions, goods_o	shocks to aggregate investment demand	exo,gdp	none	122, 123, 2, 3, 4, 86, 87
INTF	regions	risk free interest rate, short-run, real	end,pct	81	82
INTL	regions	interest rate, short-run, nominal (lagged)	pct,sta	125	124
INTN	regions	interest rate, short (policy), nominal	pct,stl	124	125, 139, 72, 80, 81
INTR	regions	risk adjusted interest rate, short-run, real	end,pct	82	110, 136, 138, 139, 48, 49, 50, 69, 71, 93
INTX	regions	shock to interest rate target	del,exo	none	none
INV	sec_std, regions	raw investment	end,gdp,logged	42	150, 43, 57, 63
INVP	regions	total investment by standard sectors	end,gdp,logged	63	64
INVT	regions	total investment including by households	end,gdp,logged	64	122, 123, 18, 19, 20, 34, 58, 86, 87, 94, 95, 96
INVY	regions	raw investment	end,gdp,logged	44	58, 64
INVZ	regions	household investment	end,gdp,logged	45	134, 59, 64
IRAS	regions	real USD net interest payments on foreign assets	end,gdp	71	69, 89, 91
JNV	sec_std, regions	installed investment	end,gdp,logged	43	39, 48
JNVY	regions	installed investment in the raw capital sector	end,gdp,logged	46	40, 44, 49
JNVZ	regions	installed household investment	end,gdp,logged	47	41, 45, 50
LAB	sec_std, regions	sector demand for labor	end,gdp,logged	15	134, 23, 57, 69, 93
LABO	regions	total labor demanded	end,gdp,logged	23	36
LABX	regions	shock to total labor supply	exo,gdp	none	none
LAM	sec_std, regions	marginal value of an additional unit of capital	cos,intertemporal_constant,logged,pct	48	48, 51, 61
LAMY	regions	marginal value of an additional unit of capital in the raw capital sector	cos,logged,pct	49	49, 52, 92
LAMZ	regions	marginal value of an additional unit of household capital	cos,logged,pct	50	50, 53, 92
LGDPN	regions	GDP, nominal	exo,nomusdbillion	none	none
LGDPR	regions	GDP, real	exo,realusdbillion	none	none
MONE	regions	money demand	end,idx,logged	80	92
NB02	regions	interest rate, 2-year, nominal	end,pct	none	none
NB05	regions	interest rate, 5-year, nominal	end,pct	none	none
NB10	regions	interest rate, 10-year, nominal	end,pct	none	none
NEER	regions	trade-weighted exchange rate, FC/domestic	end,idx,logged	111	none
OI	sec_std, goods_m, regions	sector demand for material goods	end,gdp,logged	144	3, 4
OIN	sec_std, regions	sector demand for materials	end,gdp,logged	17	144, 57
OUG	goods, regions	domestic supply of goods	end,gdp,logged	13, 152	14, 150, 157, 158, 160, 67
OUP	sectors, regions	domestic production	end,gdp,logged	14	15, 153, 156, 16, 17, 33, 57
OUTL	regions	aggregate output (lagged)	gdp,lagged,logged,sta	68	121, 124
OUTP	regions	aggregate output	ets,gdp,logged	67	116, 121, 124, 130, 68, 80
OUTX	regions	shock to output target	exo,pct	none	none
OUY	goods, regions	composite supply	end,gdp,logged	151, 2, 3, 4	102, 13, 152, 163, 5
PBAG	regions	USD value of permits sold through government	exo,gdp	none	135
PBAL	regions	value of permits sold, USD	exo,gdp	none	89, 90, 91
PCEC	regions	Price of a CEC	del,exo	none	153, 155, 156
PED	regions	Price of GWh before CECs	end,idx,logged	155	156
PGDP	regions	GDP implicit price deflator	end,idx,logged	88	none
PIM	goods_o, dest, orig	landed price of imports	end,idx,logged	6	131, 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	150, 24, 5, 7
POI	sec_std, regions	sector price of materials	end,idx,logged	146	144, 17, 31, 57
PRCE	regions	household price of energy	end,idx,logged	147	141, 59, 74, 78
PRCL	regions	aggregate price of consumer goods lagged	idx,lagged,logged,sta	84	118, 36
PRCO	regions	household price of material	end,idx,logged	148	119, 120, 142, 59, 75, 78
PRCOL	regions	household price of material - lagged	idx,lagged,logged,sta	119	120
PRCT	regions	aggregate price of consumer goods	ets,idx,logged	78	117, 118, 122, 124, 35, 36, 59, 70, 73, 74, 75, 76, 84, 86
PRD	goods, regions	post-tax price of goods	end,idx,logged	30	13, 150, 154, 24, 65, 67
PRDL	regions	weighted price of domestic output lag	idx,lagged,logged,sta	85	83
PRDX	regions	shock to weighted price of domestic output	exo,pct	none	none
PRE	sec_std, regions	sector price of energy	end,idx,logged	145	143, 16, 31, 57
PRF	sec_std, regions	short run profits	end,gdp	57	150, 60
PRFT	regions	total economywide profits	end,gdp	60	69
PRFY	regions	profits on raw capital sector	end,gdp	58	150, 60
PRFZ	regions	imputed short run profits on household capital	end,gdp	59	69
PRGT	regions	aggregate price of government goods	end,idx,logged	79	none
PRID	regions	weighted price of domestic output	ets,idx,logged	65	108, 122, 124, 126, 127, 128, 129, 131, 133, 134, 150, 48, 49, 50, 51, 52, 53, 57, 58, 59, 67, 69, 70, 80, 81, 83, 85, 86, 92, 93, 94, 95, 96
PRIE	regions	raw capital sector price of energy	end,idx,logged	28	19, 21, 32, 58
PRII	regions	price paid by producers for raw capital	end,idx,logged	32	122, 134, 150, 18, 19, 20, 34, 48, 49, 50, 51, 52, 53, 57, 58, 59, 86, 94, 95, 96
PRIM	regions	weighted price of imports	end,idx,logged	27	9
PRIX	regions	weighted price of exports	end,idx,logged	66	10
PRK	sec_std, regions	implicit rental price	end,idx,logged	33	31, 48
PRKY	regions	implicit raw capital sector rental price	end,idx,logged	34	32, 49
PRKZ	regions	implicit household rental price	end,idx,logged	35	50, 76, 78
PROI	regions	raw capital sector price of material	end,idx,logged	29	20, 22, 32, 58
PRP	sectors, regions	pre-tax producer price	end,idx,logged	156, 31	15, 153, 16, 17, 30, 33, 57
PRS	goods, regions	producer price of composite	end,idx,logged	154, 24	12, 13, 133, 140, 150, 25, 5
PRT	sec_std, goods_e, regions	sector-specific input price	end,idx,logged	140	143, 145
PRX	goods_o, regions	price of exports at source	end,idx,logged	12	10, 6, 66
PRXX	regions	shock to expected price of consumer goods	exo,pct	none	36
PRY	goods, regions	purchase price of composite	end,idx,logged	25	126, 127, 128, 141, 142, 144, 146, 147, 148, 153, 155, 21, 22, 28, 29, 79
PTAR	regions	price level target	exo,idx,logged	none	124
RATEFEE	goods_g, regions	Rate fee per model unit	del,exo	none	153, 155
RB10	regions	interest rate, 10-year, real	end,pct	none	none
REER	regions	trade-weighted real exch rate, FC/domestic	end,idx,logged	112	none
REXB	region_CHN	real exchange rate without capital controls imposed	idx,logged,stl	166	167
REXC	regions	real exchange rate as US$ per unit of region currency	cos,idx,intertemporal_constant,logged	110	110, 165, 166
REXL	region_CHN	real exchange rate without capital controls imposed - lagged	idx,lagged,logged,sta	167	none
REXN	regions	real exchange rate with capital controls	end,idx,logged	165	108, 112, 114, 115, 69, 71, 72, 89, 90, 92, 94, 98
RISE	sec_std, regions	equity risk premium by sector and region	del,exo	none	48
RISH	regions	risk premium shock for human wealth	del,exo	none	93
RISR	regions	risk premium in the yield curve	del,exo	none	82
RISW	regions	risk premium for human wealth	del,exo	none	70, 93
RISY	regions	risk premium for raw-capital sector capital	del,exo	none	49
RISZ	regions	risk premium for household capital	del,exo	none	50
ROGY	regions	potential output growth target	exo,pct	none	124
RVCTAV	regions	revenue from ad-valorem input and final demand taxes	exo,gdp	none	149
RVGS	regions	revenue from unit taxes	exo,gdp	none	149
SAVI	regions	real domestic saving using real interest rates	end,gdp	94	none
SAVN	regions	real domestic saving using nominal interest rates	end,gdp	95	none
SAVT	regions	domestic non-government saving using nominal interest rates	end,gdp	96	none
SCON	regions	nominal shadow tax on CO2.	dollar,exo	none	140, 141, 147
SHEF	sec_std, regions	autonomous energy efficiency improvements	exo,pct	none	16, 31
SHEFC	regions	consumption autonomous energy efficiency improvements	exo,pct	none	74, 78
SHK	sec_std, regions	shock to capital efficiency	exo,pct	none	31, 33
SHKC	regions	shock to aggregate consumption	exo,gdp	none	70
SHKI	regions, sec_std	shock to inv equation	exo,gdp	none	42
SHKM	regions	shock to money demand	exo,pct	none	80
SHL	regions, sec_std	shock to labor due to labor-augmenting technical change and/or population growth	exo,pct	none	15, 31
SHLY	regions	shock to raw capital sector labor due to labor-augmenting technical change and/or population growth	exo,pct	none	18, 32
SHLZ	regions	shock to household capital sector labor due to labor-augmenting technical change and/or population growth	exo,pct	none	73, 78
SHY	sectors, regions	shock to total factor productivity	exo,pct	none	15, 153, 155, 16, 17, 31, 33
SHYY	regions	shock to raw capital sector total factor productivity	exo,pct	none	18, 19, 20, 32, 34
SHYZ	regions	shock to household capital sector total factor productivity	exo,pct	none	35, 73, 74, 75, 76, 78
STM	sec_std, regions	stock market value	end,gdp,logged	61	62, 92
STMT	regions	total stock market value	end,gdp,logged	62	none
TAX	goods, regions	sales tax on composite	exo,pct	none	140, 150, 25
TAXC	regions	revenue from sales and company taxes	end,gdp,logged	150	137
TAXE	regions	revenue from externality taxes	end,gdp	149	137
TAXH	regions	revenue from taxes on wages	end,gdp,logged	134	137, 93
TAXL	regions	revenue from lump-sum taxes	end,gdp	136	137, 69, 93
TAXM	regions	tariff revenue	end,gdp	132	137
TAXS	regions	exogenous lump sum tax	exo,gdp	none	136
TAXT	regions	total revenue	end,gdp,logged	137	138
TAXX	regions	external tax revenue	end,gdp	133	137
TBAL	regions	trade surplus, domestic currency	end,gdp	97	124, 86, 87, 90, 98
TBAU	regions	trade surplus, USD	end,gdp	98	91
TBFD	regions	unit tax on energy	dollar,exo	none	30
TBFI	regions	unit tax on energy, imports	dollar,exo	none	26, 7
TBFX	regions	unit tax on energy, exports	dollar,exo	none	12
TCOR	regions	tax rate on corporate profits	exo,pct	none	150, 48, 49, 69
TCP	goods, regions	nonlinear unit tax for CO2	dollar,exo	none	12, 26, 30, 7
TCPS	sec_std, goods_e, regions	nominal sector tax on CO2	dollar,exo	none	140
TCPSFD	goods_e, regions	nominal final demand tax on CO2	dollar,exo	none	141, 147
TEX	goods, regions	extern tax on composite	exo,pct	none	12, 133
TIF	goods_o, dest	fta tariff rates	exo,pct	none	131, 26, 7
TIM	goods_o, dest, orig	multilateral tariff rates	exo,pct	none	131, 26, 7
TINC	regions	tax rate on labor income	exo,pct	none	134, 69
TITC	sec_std, regions	investment tax credit rate	exo,pct	none	150, 48, 51, 57, 61
TITCH	regions	investment tax credit rate for households	exo,pct	none	134, 50, 53, 59
TIX	goods_o, dest	multilateral iceberg costs	exo,pct	none	26, 7
TOB	sec_std, regions	marginal q, TOB.NC	end,logged,pct	51	42, 54
TOBY	regions	marginal Q, raw capital sector	end,logged,pct	52	46, 55
TOBZ	regions	marginal Q, households	end,logged,pct	53	47, 56
TPA	sec_std, regions	partial adjustment q	logged,pct,sta	54	42, 54
TPAY	regions	partial adjustment Q, raw capital sector	logged,pct,sta	55	46, 55
TPAZ	regions	partial adjustment Q, households	logged,pct,sta	56	47, 56
TRAN	regions	total transfers	end,gdp	130	138, 69, 93
TRANX	regions	exogenous transfers	exo,gdp	none	130
TXGS	sec_std, goods_e, regions	unit tax on goods to sectors	dollar,exo	none	140
TXM	goods_o, dest	tariff revenue by good	end,gdp	131	132
WAG	sec_std, regions	sector wage	end,idx,logged	38	134, 15, 31, 57, 69, 93
WAGE	regions	wage rate	idx,intertemporal_constant,logged,sta	36	124, 134, 18, 32, 36, 37, 38, 58, 59, 69, 73, 78, 93
WAGG	regions	government wage	end,idx,logged	37	129, 134, 69, 93
WELH	regions	human wealth	cos,gdp,intertemporal_constant,logged	93	92, 93
WELT	regions	total wealth	end,gdp,logged	92	70
YGRO	regions	output growth	end,pct	121	none
YRATN	regions	GDP ratio, nominal	exo,pct	none	none
YRATP	regions	GDP ratio, PPP	exo,pct	none	none
YRATR	regions	GDP ratio, real	exo,pct	none	none

Name	Domain	Description
adapt	regions	rate of closure TOB-TPA gap
aeye	currency, owner	identity matrix
ainv	owner, abroad	inverse of I-ashr
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
btucoef	goods, regions	emissions coefficients, energy
carcoef	goods, regions	emissions coefficients, co2 on energy
cd_df	goods_o, regions	1 if Cobb-Douglas, 0 if CES
cd_e	sectors, regions	1 if cd, 0 if ces
cd_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
credfac	goods, regions	per GWh eligibility for REC
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
gwhcoef	goods, regions	GWh per unit of output
int_elast	regions	interest elasticity of money demand
labgrow	regions	growth of effective labor
makeinv	goods, sectors, regions	inverse of make table
mongdp	regions	coefficient on MONE in WELT
mpc	regions	marginal propensity to consume
mrule_1	regions	weight on CPI inflation in monetary rule
mrule_10	regions	weight on nominal GDP in monetary rule
mrule_11	regions	weight on nominal gross output in monetary rule
mrule_12	regions	weight on nominal gross output net of trade in monetary rule
mrule_13	regions	weight on expected CPI inflation in monetary rule
mrule_14	regions	weight on expected real output growth in monetary rule
mrule_15	regions	weight on nominal GNE in monetary rule
mrule_2	regions	weight on PPI inflation in monetary rule
mrule_3	regions	weight on Core inflation in monetary rule
mrule_4	regions	weight on CPI level in monetary rule
mrule_5	regions	weight on PPI level in monetary rule
mrule_6	regions	weight on wage in monetary rule
mrule_7	regions	weight on wage growth in monetary rule
mrule_8	regions	weight on real output growth in monetary rule
mrule_9	regions	weight on nominal gross output growth in monetary rule
mrule_ex	regions	weight on exchange rate in monetary rule
mrule_r	regions	weight on lag interest rate in monetary rule
MUL	dest, orig	multilateral tariff flag
phi	sec_std, regions	adjustment cost parameter std sector
phi_y	regions	adjustment cost parameter capital sector
phi_z	regions	adjustment cost parameter household capital
prid_weight	goods, regions	weights in PRID
prim_weight	goods_o, regions	weights in PRIM
prix_weight	goods_o, regions	weights in PRIX
sigma_df	goods_o, regions	elasticity of substitution between domestic and foreign sources
sigma_e	sectors, regions	subs elast, E tier
sigma_ed	regions	subs elast, 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: EXCH

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

Equation 2: OUY
For g21 in goods_e, r11 in regions (55 total):

\[ \href{#OUY}{OUY(g21,r11)} = ln{ \left( exp{ \left(\href{#CON}{CON(g21,r11)}\right) } +exp{ \left(\href{#IIN}{IIN(g21,r11)}\right) } +\href{#INS}{INS(r11,g21)} +exp{ \left(\href{#GCE}{GCE(g21,r11)}\right) } +exp{ \left(\href{#EXQ}{EXQ(g21,r11)}\right) } +\sum_{s1 \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(exp{ \left(\href{#EN}{EN(s1,g21,r11)}\right) }\right) }\right) } \]

Equation 3: OUY
For g24 in goods_mc, r11 in regions (66 total):

\[ \href{#OUY}{OUY(g24,r11)} = ln{ \left( exp{ \left(\href{#CON}{CON(g24,r11)}\right) } +exp{ \left(\href{#IIN}{IIN(g24,r11)}\right) } +\href{#INS}{INS(r11,g24)} +exp{ \left(\href{#GCE}{GCE(g24,r11)}\right) } +exp{ \left(\href{#EXQ}{EXQ(g24,r11)}\right) } +\sum_{s1 \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(exp{ \left(\href{#OI}{OI(s1,g24,r11)}\right) }\right) }\right) } \]

Equation 4: OUY
For g3 in good_durable_manufacturing, r11 in regions (11 total):

\[ \href{#OUY}{OUY(g3,r11)} = ln{ \left( exp{ \left(\href{#IIN}{IIN(g3,r11)}\right) } +\href{#INS}{INS(r11,g3)} +exp{ \left(\href{#GCE}{GCE(g3,r11)}\right) } +exp{ \left(\href{#EXQ}{EXQ(g3,r11)}\right) } +\sum_{s1 \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(exp{ \left(\href{#OI}{OI(s1,g3,r11)}\right) }\right) }\right) } \]

Equation 5: IMQ
For g26 in goods_o, r11 in regions (132 total):

\[ \href{#IMQ}{IMQ(g26,r11)} = ln{ \left(1-\href{#delta_dom}{delta\_dom(g26,r11)}\right) } +\href{#OUY}{OUY(g26,r11)} +\href{#sigma_df}{sigma\_df(g26,r11)} *{(\href{#PRS}{PRS(g26,r11)}-\href{#PMR}{PMR(g26,r11)})} \]

Equation 6: PIM
For d in dest, g26 in goods_o, o1 in orig (1452 total):

\[ \href{#PIM}{PIM(g26,d,o1)} = \href{#EXCH}{EXCH(o1)}+\href{#PRX}{PRX(g26,o1)} -\href{#EXCH}{EXCH(d)} \]

Equation 7: IMP
For d in dest, g26 in goods_o, o1 in orig (1452 total):

\[ \href{#IMP}{IMP(g26,d,o1)} = ln{ \left( \href{#delta_ff}{delta\_ff(g26,d,o1)} *exp{ \left(\href{#IMQ}{IMQ(g26,d)}\right) } *{(\href{#carcoef}{carcoef(g26,d)}*\href{#TCP}{TCP(g26,d)} +\href{#btucoef}{btucoef(g26,d)}*\href{#TBFI}{TBFI(d)} +\href{#BCT}{BCT(g26,d,o1)} +{(1 +{(\href{#TIM}{TIM(g26,d,o1)}+\href{#TIX}{TIX(g26,d)})} *\href{#MUL}{MUL(d,o1)} +\href{#TIF}{TIF(g26,d)}*\href{#FTA}{FTA(d,o1)})} *exp{ \left( \href{#PIM}{PIM(g26,d,o1)}-\href{#PMR}{PMR(g26,d)}\right) })} ^{(-\href{#sigma_ff}{sigma\_ff(g26,d)})} +\href{#IMPX}{IMPX(g26,d,o1)}\right) } \]

Equation 8: PMQ
For d in dest, g26 in goods_o (132 total):

\[ \href{#PMQ}{PMQ(g26,d)} = ln{ \left( \sum_{o1 \; \text{in} \; \href{#orig}{orig}} { \left(exp{ \left( \href{#IMP}{IMP(g26,d,o1)}+\href{#PIM}{PIM(g26,d,o1)}\right) }\right) }\right) } -\href{#IMQ}{IMQ(g26,d)} \]

Equation 9: IMQT
For r11 in regions (11 total):

\[ \href{#IMQT}{IMQT(r11)} = ln{ \left( \sum_{g26 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(exp{ \left( \href{#PMQ}{PMQ(g26,r11)}+\href{#IMQ}{IMQ(g26,r11)}\right) }\right) }\right) } -\href{#PRIM}{PRIM(r11)} \]

Equation 10: EXQT
For r11 in regions (11 total):

\[ \href{#EXQT}{EXQT(r11)} = ln{ \left( \sum_{g26 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(exp{ \left( \href{#PRX}{PRX(g26,r11)}+\href{#EXQ}{EXQ(g26,r11)}\right) }\right) }\right) } -\href{#PRIX}{PRIX(r11)} \]

Equation 11: EXQ
For g26 in goods_o, o1 in orig (132 total):

\[ \href{#EXQ}{EXQ(g26,o1)} = ln{ \left( \sum_{d \; \text{in} \; \href{#dest}{dest}} { \left(exp{ \left(\href{#IMP}{IMP(g26,d,o1)}\right) }\right) }\right) } \]

Equation 12: PRX
For g26 in goods_o, r11 in regions (132 total):

\[ \href{#PRX}{PRX(g26,r11)} = ln{ \left( {(1+\href{#TEX}{TEX(g26,r11)})} *exp{ \left(\href{#PRS}{PRS(g26,r11)}\right) } -\href{#carcoef}{carcoef(g26,r11)}*\href{#TCP}{TCP(g26,r11)} +\href{#btucoef}{btucoef(g26,r11)}*\href{#TBFX}{TBFX(r11)}\right) } \]

Equation 13: OUG
For g26 in goods_o, r11 in regions (132 total):

\[ \href{#OUG}{OUG(g26,r11)} = ln{ \left(\href{#delta_dom}{delta\_dom(g26,r11)}\right) } +\href{#OUY}{OUY(g26,r11)} +\href{#sigma_df}{sigma\_df(g26,r11)} *{(\href{#PRS}{PRS(g26,r11)}-\href{#PRD}{PRD(g26,r11)})} \]

Equation 14: OUP
For r11 in regions, s23 in sectors (220 total):

\[ \href{#OUP}{OUP(s23,r11)} = ln{ \left( \sum_{g20 \; \text{in} \; \href{#goods}{goods}} { \left(\href{#makeinv}{makeinv(g20,s23,r11)} *exp{ \left(\href{#OUG}{OUG(g20,r11)}\right) }\right) }\right) } \]

Equation 15: LAB
For r11 in regions, s1 in sec_std (209 total):

\[ \href{#LAB}{LAB(s1,r11)} = {(\href{#sigma_o}{sigma\_o(s1,r11)}-1)} *{(\href{#SHL}{SHL(r11,s1)}+\href{#SHY}{SHY(s1,r11)})} +ln{ \left( \href{#delta_o}{delta\_o(\text{l},s1,r11)}\right) } +\href{#OUP}{OUP(s1,r11)} +\href{#sigma_o}{sigma\_o(s1,r11)} *{(\href{#PRP}{PRP(s1,r11)}-\href{#WAG}{WAG(s1,r11)})} \]

Equation 16: ENT
For r11 in regions, s1 in sec_std (209 total):

\[ \href{#ENT}{ENT(s1,r11)} = {(\href{#sigma_o}{sigma\_o(s1,r11)}-1)} *{(\href{#SHEF}{SHEF(s1,r11)}+\href{#SHY}{SHY(s1,r11)})} +ln{ \left( \href{#delta_o}{delta\_o(\text{e},s1,r11)}\right) } +\href{#OUP}{OUP(s1,r11)} +\href{#sigma_o}{sigma\_o(s1,r11)} *{(\href{#PRP}{PRP(s1,r11)}-\href{#PRE}{PRE(s1,r11)})} \]

Equation 17: OIN
For r11 in regions, s1 in sec_std (209 total):

\[ \href{#OIN}{OIN(s1,r11)} = {(\href{#sigma_o}{sigma\_o(s1,r11)}-1)}*\href{#SHY}{SHY(s1,r11)} +ln{ \left( \href{#delta_o}{delta\_o(\text{m},s1,r11)}\right) } +\href{#OUP}{OUP(s1,r11)} +\href{#sigma_o}{sigma\_o(s1,r11)} *{(\href{#PRP}{PRP(s1,r11)}-\href{#POI}{POI(s1,r11)})} \]

Equation 18: IITL
For r11 in regions (11 total):

\[ \href{#IITL}{IITL(r11)} = {(\href{#sigma_oR}{sigma\_oR(r11)}-1)} *{(\href{#SHLY}{SHLY(r11)}+\href{#SHYY}{SHYY(r11)})} +ln{ \left( \href{#delta_oR}{delta\_oR(\text{l},r11)}\right) } +\href{#INVT}{INVT(r11)} +\href{#sigma_oR}{sigma\_oR(r11)} *{(\href{#PRII}{PRII(r11)}-\href{#WAGE}{WAGE(r11)})} \]

Equation 19: IITE
For r11 in regions (11 total):

\[ \href{#IITE}{IITE(r11)} = {(\href{#sigma_oR}{sigma\_oR(r11)}-1)}*\href{#SHYY}{SHYY(r11)} +ln{ \left( \href{#delta_oR}{delta\_oR(\text{e},r11)}\right) } +\href{#INVT}{INVT(r11)} +\href{#sigma_oR}{sigma\_oR(r11)} *{(\href{#PRII}{PRII(r11)}-\href{#PRIE}{PRIE(r11)})} \]

Equation 20: IITO
For r11 in regions (11 total):

\[ \href{#IITO}{IITO(r11)} = {(\href{#sigma_oR}{sigma\_oR(r11)}-1)}*\href{#SHYY}{SHYY(r11)} +ln{ \left( \href{#delta_oR}{delta\_oR(\text{m},r11)}\right) } +\href{#INVT}{INVT(r11)} +\href{#sigma_oR}{sigma\_oR(r11)} *{(\href{#PRII}{PRII(r11)}-\href{#PROI}{PROI(r11)})} \]

Equation 21: IIN
For g21 in goods_e, r11 in regions (55 total):

\[ \href{#IIN}{IIN(g21,r11)} = ln{ \left(\href{#delta_eR}{delta\_eR(g21,r11)}\right) } +\href{#IITE}{IITE(r11)} +\href{#sigma_eR}{sigma\_eR(r11)} *{(\href{#PRIE}{PRIE(r11)}-\href{#PRY}{PRY(g21,r11)})} \]

Equation 22: IIN
For g23 in goods_m, r11 in regions (77 total):

\[ \href{#IIN}{IIN(g23,r11)} = ln{ \left(\href{#delta_mR}{delta\_mR(g23,r11)}\right) } +\href{#IITO}{IITO(r11)} +\href{#sigma_mR}{sigma\_mR(r11)} *{(\href{#PROI}{PROI(r11)}-\href{#PRY}{PRY(g23,r11)})} \]

Equation 23: LABO
For r11 in regions (11 total):

\[ \href{#LABO}{LABO(r11)} = ln{ \left( exp{ \left(\href{#IITL}{IITL(r11)}\right) } +exp{ \left(\href{#CNPL}{CNPL(r11)}\right) } +\href{#GOVL}{GOVL(r11)} +\sum_{s1 \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(exp{ \left(\href{#LAB}{LAB(s1,r11)}\right) }\right) }\right) } \]

Equation 24: PRS
For g26 in goods_o, r11 in regions (132 total):

\[ \href{#PRS}{PRS(g26,r11)} = \href{#cd_df}{cd\_df(g26,r11)} *{(\href{#delta_dom}{delta\_dom(g26,r11)}*\href{#PRD}{PRD(g26,r11)} +{(1-\href{#delta_dom}{delta\_dom(g26,r11)})} *\href{#PMR}{PMR(g26,r11)})} +\frac{{({(1-\href{#cd_df}{cd\_df(g26,r11)})} *ln{ \left( \href{#delta_dom}{delta\_dom(g26,r11)} *exp{ \left(\href{#PRD}{PRD(g26,r11)}\right) } ^{(1-\href{#sigma_df}{sigma\_df(g26,r11)})} +{(1-\href{#delta_dom}{delta\_dom(g26,r11)})} *exp{ \left(\href{#PMR}{PMR(g26,r11)}\right) } ^{(1-\href{#sigma_df}{sigma\_df(g26,r11)})}\right) })}}{{(1 -\href{#sigma_df}{sigma\_df(g26,r11)} *{(1-\href{#cd_df}{cd\_df(g26,r11)})})}} \]

Equation 25: PRY
For g20 in goods, r11 in regions (220 total):

\[ \href{#PRY}{PRY(g20,r11)} = ln{ \left(1+\href{#TAX}{TAX(g20,r11)}\right) } +\href{#PRS}{PRS(g20,r11)} \]

Equation 26: PMR
For d in dest, g26 in goods_o (132 total):

\[ \href{#PMR}{PMR(g26,d)} = 0.0 +\href{#cd_ff}{cd\_ff(g26,d)} *\sum_{o1 \; \text{in} \; \href{#orig}{orig}} { \left(\href{#delta_ff}{delta\_ff(g26,d,o1)} *ln{ \left( \href{#carcoef}{carcoef(g26,d)}*\href{#TCP}{TCP(g26,d)} +\href{#btucoef}{btucoef(g26,d)}*\href{#TBFI}{TBFI(d)} +\href{#BCT}{BCT(g26,d,o1)} +{(1 +{(\href{#TIM}{TIM(g26,d,o1)}+\href{#TIX}{TIX(g26,d)})} *\href{#MUL}{MUL(d,o1)} +\href{#TIF}{TIF(g26,d)}*\href{#FTA}{FTA(d,o1)})} *exp{ \left(\href{#PIM}{PIM(g26,d,o1)}\right) }\right) }\right) } +\frac{{({(1-\href{#cd_ff}{cd\_ff(g26,d)})} *ln{ \left( \sum_{o1 \; \text{in} \; \href{#orig}{orig}} { \left(\href{#delta_ff}{delta\_ff(g26,d,o1)} *{(\href{#carcoef}{carcoef(g26,d)}*\href{#TCP}{TCP(g26,d)} +\href{#btucoef}{btucoef(g26,d)}*\href{#TBFI}{TBFI(d)} +\href{#BCT}{BCT(g26,d,o1)} +{(1 +{(\href{#TIM}{TIM(g26,d,o1)}+\href{#TIX}{TIX(g26,d)})} *\href{#MUL}{MUL(d,o1)} +\href{#TIF}{TIF(g26,d)}*\href{#FTA}{FTA(d,o1)})} *exp{ \left(\href{#PIM}{PIM(g26,d,o1)}\right) })} ^{(1-\href{#sigma_ff}{sigma\_ff(g26,d)})}\right) }\right) })}}{{(1 -\href{#sigma_ff}{sigma\_ff(g26,d)}*{(1-\href{#cd_ff}{cd\_ff(g26,d)})})}} \]

Equation 27: PRIM
For r11 in regions (11 total):

\[ \href{#PRIM}{PRIM(r11)} = \sum_{g26 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(\href{#prim_weight}{prim\_weight(g26,r11)} *\href{#PMQ}{PMQ(g26,r11)}\right) } \]

Equation 28: PRIE
For r11 in regions (11 total):

\[ \href{#PRIE}{PRIE(r11)} = \href{#cd_eR}{cd\_eR(r11)} *\sum_{g21 \; \text{in} \; \href{#goods_e}{goods\_e}} { \left(\href{#delta_eR}{delta\_eR(g21,r11)}*\href{#PRY}{PRY(g21,r11)}\right) } +\frac{{({(1-\href{#cd_eR}{cd\_eR(r11)})} *ln{ \left( \sum_{g21 \; \text{in} \; \href{#goods_e}{goods\_e}} { \left(\href{#delta_eR}{delta\_eR(g21,r11)} *exp{ \left(\href{#PRY}{PRY(g21,r11)}\right) } ^{(1-\href{#sigma_eR}{sigma\_eR(r11)})}\right) }\right) })}}{{(1 -\href{#sigma_eR}{sigma\_eR(r11)}*{(1-\href{#cd_eR}{cd\_eR(r11)})})}} \]

Equation 29: PROI
For r11 in regions (11 total):

\[ \href{#PROI}{PROI(r11)} = \href{#cd_mR}{cd\_mR(r11)} *\sum_{g23 \; \text{in} \; \href{#goods_m}{goods\_m}} { \left(\href{#delta_mR}{delta\_mR(g23,r11)}*\href{#PRY}{PRY(g23,r11)}\right) } +\frac{{({(1-\href{#cd_mR}{cd\_mR(r11)})} *ln{ \left( \sum_{g23 \; \text{in} \; \href{#goods_m}{goods\_m}} { \left(\href{#delta_mR}{delta\_mR(g23,r11)} *exp{ \left(\href{#PRY}{PRY(g23,r11)}\right) } ^{(1-\href{#sigma_mR}{sigma\_mR(r11)})}\right) }\right) })}}{{(1 -\href{#sigma_mR}{sigma\_mR(r11)}*{(1-\href{#cd_mR}{cd\_mR(r11)})})}} \]

Equation 30: PRD
For g20 in goods, r11 in regions (220 total):

\[ \href{#PRD}{PRD(g20,r11)} = ln{ \left( exp{ \left( \sum_{s23 \; \text{in} \; \href{#sectors}{sectors}} { \left(\href{#makeinv}{makeinv(g20,s23,r11)}*\href{#PRP}{PRP(s23,r11)}\right) }\right) } +\href{#carcoef}{carcoef(g20,r11)}*\href{#TCP}{TCP(g20,r11)} +\href{#btucoef}{btucoef(g20,r11)}*\href{#TBFD}{TBFD(r11)}\right) } \]

Equation 31: PRP
For r11 in regions, s1 in sec_std (209 total):

\[ \href{#PRP}{PRP(s1,r11)} = \href{#cd_o}{cd\_o(s1,r11)} *{(\href{#delta_o}{delta\_o(\text{k},s1,r11)} *\href{#PRK}{PRK(s1,r11)} +\href{#delta_o}{delta\_o(\text{l},s1,r11)} *\href{#WAG}{WAG(s1,r11)} +\href{#delta_o}{delta\_o(\text{e},s1,r11)} *\href{#PRE}{PRE(s1,r11)} +\href{#delta_o}{delta\_o(\text{m},s1,r11)} *\href{#POI}{POI(s1,r11)} -\href{#delta_o}{delta\_o(\text{l},s1,r11)} *\href{#SHL}{SHL(r11,s1)} -\href{#delta_o}{delta\_o(\text{k},s1,r11)} *\href{#SHK}{SHK(s1,r11)} -\href{#delta_o}{delta\_o(\text{e},s1,r11)} *\href{#SHEF}{SHEF(s1,r11)})} +\frac{{({(1-\href{#cd_o}{cd\_o(s1,r11)})} *ln{ \left( \href{#delta_o}{delta\_o(\text{k},s1,r11)} *exp{ \left( \href{#PRK}{PRK(s1,r11)}-\href{#SHK}{SHK(s1,r11)}\right) } ^{(1-\href{#sigma_o}{sigma\_o(s1,r11)})} +\href{#delta_o}{delta\_o(\text{l},s1,r11)} *exp{ \left( \href{#WAG}{WAG(s1,r11)}-\href{#SHL}{SHL(r11,s1)}\right) } ^{(1-\href{#sigma_o}{sigma\_o(s1,r11)})} +\href{#delta_o}{delta\_o(\text{e},s1,r11)} *exp{ \left( \href{#PRE}{PRE(s1,r11)}-\href{#SHEF}{SHEF(s1,r11)}\right) } ^{(1-\href{#sigma_o}{sigma\_o(s1,r11)})} +\href{#delta_o}{delta\_o(\text{m},s1,r11)} *exp{ \left(\href{#POI}{POI(s1,r11)}\right) } ^{(1-\href{#sigma_o}{sigma\_o(s1,r11)})}\right) })}}{{(1 -\href{#sigma_o}{sigma\_o(s1,r11)}*{(1-\href{#cd_o}{cd\_o(s1,r11)})})}} -\href{#SHY}{SHY(s1,r11)} \]

Equation 32: PRII
For r11 in regions (11 total):

\[ \href{#PRII}{PRII(r11)} = \href{#cd_oR}{cd\_oR(r11)} *{(\href{#delta_oR}{delta\_oR(\text{k},r11)} *\href{#PRKY}{PRKY(r11)} +\href{#delta_oR}{delta\_oR(\text{l},r11)} *\href{#WAGE}{WAGE(r11)} +\href{#delta_oR}{delta\_oR(\text{e},r11)} *\href{#PRIE}{PRIE(r11)} +\href{#delta_oR}{delta\_oR(\text{m},r11)} *\href{#PROI}{PROI(r11)} -\href{#delta_oR}{delta\_oR(\text{l},r11)} *\href{#SHLY}{SHLY(r11)})} +\frac{{({(1-\href{#cd_oR}{cd\_oR(r11)})} *ln{ \left( \href{#delta_oR}{delta\_oR(\text{k},r11)} *exp{ \left(\href{#PRKY}{PRKY(r11)}\right) } ^{(1-\href{#sigma_oR}{sigma\_oR(r11)})} +\href{#delta_oR}{delta\_oR(\text{l},r11)} *exp{ \left( \href{#WAGE}{WAGE(r11)}-\href{#SHLY}{SHLY(r11)}\right) } ^{(1-\href{#sigma_oR}{sigma\_oR(r11)})} +\href{#delta_oR}{delta\_oR(\text{e},r11)} *exp{ \left(\href{#PRIE}{PRIE(r11)}\right) } ^{(1-\href{#sigma_oR}{sigma\_oR(r11)})} +\href{#delta_oR}{delta\_oR(\text{m},r11)} *exp{ \left(\href{#PROI}{PROI(r11)}\right) } ^{(1-\href{#sigma_oR}{sigma\_oR(r11)})}\right) })}}{{(1 -\href{#sigma_oR}{sigma\_oR(r11)}*{(1-\href{#cd_oR}{cd\_oR(r11)})})}} -\href{#SHYY}{SHYY(r11)} \]

Equation 33: PRK
For r11 in regions, s1 in sec_std (209 total):

\[ \href{#PRK}{PRK(s1,r11)} = \href{#PRP}{PRP(s1,r11)} +\frac{{(ln{ \left( \href{#delta_o}{delta\_o(\text{k},s1,r11)}\right) } +\href{#OUP}{OUP(s1,r11)} -\href{#CAP}{CAP(s1,r11)})}}{\href{#sigma_o}{sigma\_o(s1,r11)}} +\frac{{({(\href{#SHY}{SHY(s1,r11)}+\href{#SHK}{SHK(s1,r11)})} *{(\href{#sigma_o}{sigma\_o(s1,r11)}-1)})}}{\href{#sigma_o}{sigma\_o(s1,r11)}} \]

Equation 34: PRKY
For r11 in regions (11 total):

\[ \href{#PRKY}{PRKY(r11)} = \href{#PRII}{PRII(r11)} +\frac{{(ln{ \left( \href{#delta_oR}{delta\_oR(\text{k},r11)}\right) } +\href{#INVT}{INVT(r11)} -\href{#CAPY}{CAPY(r11)})}}{\href{#sigma_oR}{sigma\_oR(r11)}} +\frac{{(\href{#SHYY}{SHYY(r11)}*{(\href{#sigma_oR}{sigma\_oR(r11)}-1)})}}{\href{#sigma_oR}{sigma\_oR(r11)}} \]

Equation 35: PRKZ
For r11 in regions (11 total):

\[ \href{#PRKZ}{PRKZ(r11)} = \href{#PRCT}{PRCT(r11)} +\frac{{(ln{ \left( \href{#delta_oH}{delta\_oH(\text{k},r11)}\right) } +\href{#CONP}{CONP(r11)} -\href{#CAPZ}{CAPZ(r11)})}}{\href{#sigma_oH}{sigma\_oH(r11)}} +\frac{{(\href{#SHYZ}{SHYZ(r11)}*{(\href{#sigma_oH}{sigma\_oH(r11)}-1)})}}{\href{#sigma_oH}{sigma\_oH(r11)}} \]

Equation 36: WAGE
For r11 in regions (11 total):

\[ lead({\href{#WAGE}{WAGE(r11)}}) = \href{#WAGE}{WAGE(r11)} +\href{#wage_p}{wage\_p(r11)} *{(lead({\href{#PRCT}{PRCT(r11)}})+\href{#PRXX}{PRXX(r11)} -\href{#PRCT}{PRCT(r11)})} +{(1-\href{#wage_p}{wage\_p(r11)})} *{(\href{#PRCT}{PRCT(r11)}-\href{#PRCL}{PRCL(r11)})} +\href{#wage_q}{wage\_q(r11)}*\href{#LABO}{LABO(r11)} \]

Equation 37: WAGG
For r11 in regions (11 total):

\[ \href{#WAGG}{WAGG(r11)} = \href{#WAGE}{WAGE(r11)} \]

Equation 38: WAG
For r11 in regions, s1 in sec_std (209 total):

\[ \href{#WAG}{WAG(s1,r11)} = \href{#WAGE}{WAGE(r11)} \]

Equation 39: CAP
For r11 in regions, s1 in sec_std (209 total):

\[ lead({\href{#CAP}{CAP(s1,r11)}}) = ln{ \left( exp{ \left(\href{#JNV}{JNV(s1,r11)}\right) } +{(1-\href{#delta}{delta(r11)}-\href{#labgrow}{labgrow(r11)})} *exp{ \left(\href{#CAP}{CAP(s1,r11)}\right) }\right) } \]

Equation 40: CAPY
For r11 in regions (11 total):

\[ lead({\href{#CAPY}{CAPY(r11)}}) = ln{ \left( exp{ \left(\href{#JNVY}{JNVY(r11)}\right) } +{(1-\href{#delta}{delta(r11)}-\href{#labgrow}{labgrow(r11)})} *exp{ \left(\href{#CAPY}{CAPY(r11)}\right) }\right) } \]

Equation 41: CAPZ
For r11 in regions (11 total):

\[ lead({\href{#CAPZ}{CAPZ(r11)}}) = ln{ \left( exp{ \left(\href{#JNVZ}{JNVZ(r11)}\right) } +{(1-\href{#delta}{delta(r11)}-\href{#labgrow}{labgrow(r11)})} *exp{ \left(\href{#CAPZ}{CAPZ(r11)}\right) }\right) } \]

Equation 42: INV
For r11 in regions, s1 in sec_std (209 total):

\[ \href{#INV}{INV(s1,r11)} = ln{ \left( \frac{{({(1 +0.5 *{(exp{ \left(\href{#TOB}{TOB(s1,r11)}\right) } -1)})} *{(exp{ \left(\href{#TOB}{TOB(s1,r11)}\right) } -1)} *exp{ \left(\href{#CAP}{CAP(s1,r11)}\right) })}}{\href{#phi}{phi(s1,r11)}} *\href{#forei}{forei(s1,r11)} +\frac{{({(1 +0.5 *{(exp{ \left(\href{#TPA}{TPA(s1,r11)}\right) } -1)})} *{(exp{ \left(\href{#TPA}{TPA(s1,r11)}\right) } -1)} *exp{ \left(\href{#CAP}{CAP(s1,r11)}\right) })}}{\href{#phi}{phi(s1,r11)}} *{(1-\href{#forei}{forei(s1,r11)})} +\href{#SHKI}{SHKI(r11,s1)}\right) } \]

Equation 43: JNV
For r11 in regions, s1 in sec_std (209 total):

\[ \href{#JNV}{JNV(s1,r11)} = ln{ \left( exp{ \left(\href{#INV}{INV(s1,r11)}\right) } +\frac{\href{#phi}{phi(s1,r11)}}{2}*\href{#base_jk}{base\_jk(s1,r11)}^2 *exp{ \left(\href{#CAP}{CAP(s1,r11)}\right) }\right) } -ln{ \left( 1 +\href{#phi}{phi(s1,r11)}*\href{#base_jk}{base\_jk(s1,r11)}\right) } \]

Equation 44: INVY
For r11 in regions (11 total):

\[ \href{#INVY}{INVY(r11)} = \href{#JNVY}{JNVY(r11)} +ln{ \left( 1 +\frac{\href{#phi_y}{phi\_y(r11)}}{2} *exp{ \left( \href{#JNVY}{JNVY(r11)}-\href{#CAPY}{CAPY(r11)}\right) }\right) } \]

Equation 45: INVZ
For r11 in regions (11 total):

\[ \href{#INVZ}{INVZ(r11)} = \href{#JNVZ}{JNVZ(r11)} +ln{ \left( 1 +\frac{\href{#phi_z}{phi\_z(r11)}}{2} *exp{ \left( \href{#JNVZ}{JNVZ(r11)}-\href{#CAPZ}{CAPZ(r11)}\right) }\right) } \]

Equation 46: JNVY
For r11 in regions (11 total):

\[ \href{#JNVY}{JNVY(r11)} = \href{#CAPY}{CAPY(r11)} +ln{ \left( \href{#fore_i_y}{fore\_i\_y(r11)} *exp{ \left(\href{#TOBY}{TOBY(r11)}\right) } +{(1-\href{#fore_i_y}{fore\_i\_y(r11)})} *exp{ \left(\href{#TPAY}{TPAY(r11)}\right) } -1\right) } -ln{ \left(\href{#phi_y}{phi\_y(r11)}\right) } \]

Equation 47: JNVZ
For r11 in regions (11 total):

\[ \href{#JNVZ}{JNVZ(r11)} = \href{#CAPZ}{CAPZ(r11)} +ln{ \left( \href{#fore_i_z}{fore\_i\_z(r11)} *exp{ \left(\href{#TOBZ}{TOBZ(r11)}\right) } +{(1-\href{#fore_i_z}{fore\_i\_z(r11)})} *exp{ \left(\href{#TPAZ}{TPAZ(r11)}\right) } -1\right) } -ln{ \left(\href{#phi_z}{phi\_z(r11)}\right) } \]

Equation 48: LAM
For r11 in regions, s1 in sec_std (209 total):

\[ lead({\href{#LAM}{LAM(s1,r11)}}) = ln{ \left( {(1+\href{#INTR}{INTR(r11)}+\href{#RISE}{RISE(s1,r11)} +\href{#delta}{delta(r11)})} *exp{ \left(\href{#LAM}{LAM(s1,r11)}\right) } -{(1-\href{#TCOR}{TCOR(r11)})} *exp{ \left( \href{#PRK}{PRK(s1,r11)}-\href{#PRID}{PRID(r11)}\right) } -{(1-\href{#TITC}{TITC(s1,r11)})} *exp{ \left( \href{#PRII}{PRII(r11)}-\href{#PRID}{PRID(r11)} +2 *{(\href{#JNV}{JNV(s1,r11)}-\href{#CAP}{CAP(s1,r11)})}\right) } *\frac{\href{#phi}{phi(s1,r11)}}{2}\right) } \]

Equation 49: LAMY
For r11 in regions (11 total):

\[ lead({\href{#LAMY}{LAMY(r11)}}) = ln{ \left( {(1+\href{#INTR}{INTR(r11)}+\href{#RISY}{RISY(r11)} +\href{#delta}{delta(r11)})} *exp{ \left(\href{#LAMY}{LAMY(r11)}\right) } -{(1-\href{#TCOR}{TCOR(r11)})} *exp{ \left( \href{#PRKY}{PRKY(r11)}-\href{#PRID}{PRID(r11)}\right) } -exp{ \left( \href{#PRII}{PRII(r11)}-\href{#PRID}{PRID(r11)} +2 *{(\href{#JNVY}{JNVY(r11)}-\href{#CAPY}{CAPY(r11)})}\right) } *\frac{\href{#phi_y}{phi\_y(r11)}}{2}\right) } \]

Equation 50: LAMZ
For r11 in regions (11 total):

\[ lead({\href{#LAMZ}{LAMZ(r11)}}) = ln{ \left( {(1+\href{#INTR}{INTR(r11)}+\href{#RISZ}{RISZ(r11)} +\href{#delta}{delta(r11)})} *exp{ \left(\href{#LAMZ}{LAMZ(r11)}\right) } -exp{ \left( \href{#PRKZ}{PRKZ(r11)}-\href{#PRID}{PRID(r11)}\right) } -{(1-\href{#TITCH}{TITCH(r11)})} *exp{ \left( \href{#PRII}{PRII(r11)}-\href{#PRID}{PRID(r11)} +2 *{(\href{#JNVZ}{JNVZ(r11)}-\href{#CAPZ}{CAPZ(r11)})}\right) } *\frac{\href{#phi_z}{phi\_z(r11)}}{2}\right) } \]

Equation 51: TOB
For r11 in regions, s1 in sec_std (209 total):

\[ \href{#TOB}{TOB(s1,r11)} = \href{#LAM}{LAM(s1,r11)} +\href{#PRID}{PRID(r11)}-\href{#PRII}{PRII(r11)} -ln{ \left(1-\href{#TITC}{TITC(s1,r11)}\right) } \]

Equation 52: TOBY
For r11 in regions (11 total):

\[ \href{#TOBY}{TOBY(r11)} = \href{#LAMY}{LAMY(r11)} +\href{#PRID}{PRID(r11)}-\href{#PRII}{PRII(r11)} \]

Equation 53: TOBZ
For r11 in regions (11 total):

\[ \href{#TOBZ}{TOBZ(r11)} = \href{#LAMZ}{LAMZ(r11)} +\href{#PRID}{PRID(r11)}-\href{#PRII}{PRII(r11)} -ln{ \left(1-\href{#TITCH}{TITCH(r11)}\right) } \]

Equation 54: TPA
For r11 in regions, s1 in sec_std (209 total):

\[ lead({\href{#TPA}{TPA(s1,r11)}}) = ln{ \left( exp{ \left(\href{#TPA}{TPA(s1,r11)}\right) } +\href{#adapt}{adapt(r11)} *{(exp{ \left(\href{#TOB}{TOB(s1,r11)}\right) } -exp{ \left(\href{#TPA}{TPA(s1,r11)}\right) })}\right) } \]

Equation 55: TPAY
For r11 in regions (11 total):

\[ lead({\href{#TPAY}{TPAY(r11)}}) = ln{ \left( exp{ \left(\href{#TPAY}{TPAY(r11)}\right) } +\href{#adapt}{adapt(r11)} *{(exp{ \left(\href{#TOBY}{TOBY(r11)}\right) } -exp{ \left(\href{#TPAY}{TPAY(r11)}\right) })}\right) } \]

Equation 56: TPAZ
For r11 in regions (11 total):

\[ lead({\href{#TPAZ}{TPAZ(r11)}}) = ln{ \left( exp{ \left(\href{#TPAZ}{TPAZ(r11)}\right) } +\href{#adapt}{adapt(r11)} *{(exp{ \left(\href{#TOBZ}{TOBZ(r11)}\right) } -exp{ \left(\href{#TPAZ}{TPAZ(r11)}\right) })}\right) } \]

Equation 57: PRF
For r11 in regions, s1 in sec_std (209 total):

\[ \href{#PRF}{PRF(s1,r11)} = \frac{{(exp{ \left( \href{#OUP}{OUP(s1,r11)}+\href{#PRP}{PRP(s1,r11)}\right) } -exp{ \left( \href{#ENT}{ENT(s1,r11)}+\href{#PRE}{PRE(s1,r11)}\right) } -exp{ \left( \href{#LAB}{LAB(s1,r11)}+\href{#WAG}{WAG(s1,r11)}\right) } -exp{ \left( \href{#OIN}{OIN(s1,r11)}+\href{#POI}{POI(s1,r11)}\right) } -{(1-\href{#TITC}{TITC(s1,r11)})} *exp{ \left( \href{#INV}{INV(s1,r11)}+\href{#PRII}{PRII(r11)}\right) })}}{exp{ \left(\href{#PRID}{PRID(r11)}\right) }} \]

Equation 58: PRFY
For r11 in regions (11 total):

\[ \href{#PRFY}{PRFY(r11)} = \frac{{(exp{ \left( \href{#INVT}{INVT(r11)}+\href{#PRII}{PRII(r11)}\right) } -exp{ \left( \href{#IITE}{IITE(r11)}+\href{#PRIE}{PRIE(r11)}\right) } -exp{ \left( \href{#IITL}{IITL(r11)}+\href{#WAGE}{WAGE(r11)}\right) } -exp{ \left( \href{#IITO}{IITO(r11)}+\href{#PROI}{PROI(r11)}\right) } -exp{ \left( \href{#INVY}{INVY(r11)}+\href{#PRII}{PRII(r11)}\right) })}}{exp{ \left(\href{#PRID}{PRID(r11)}\right) }} \]

Equation 59: PRFZ
For r11 in regions (11 total):

\[ \href{#PRFZ}{PRFZ(r11)} = \frac{{(exp{ \left( \href{#CONP}{CONP(r11)}+\href{#PRCT}{PRCT(r11)}\right) } -exp{ \left( \href{#CNPE}{CNPE(r11)}+\href{#PRCE}{PRCE(r11)}\right) } -exp{ \left( \href{#CNPL}{CNPL(r11)}+\href{#WAGE}{WAGE(r11)}\right) } -exp{ \left( \href{#CNPO}{CNPO(r11)}+\href{#PRCO}{PRCO(r11)}\right) } -{(1-\href{#TITCH}{TITCH(r11)})} *exp{ \left( \href{#INVZ}{INVZ(r11)}+\href{#PRII}{PRII(r11)}\right) })}}{exp{ \left(\href{#PRID}{PRID(r11)}\right) }} \]

Equation 60: PRFT
For r11 in regions (11 total):

\[ \href{#PRFT}{PRFT(r11)} = \sum_{s1 \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(\href{#PRF}{PRF(s1,r11)}\right) } +\href{#PRFY}{PRFY(r11)} \]

Equation 61: STM
For r11 in regions, s1 in sec_std (209 total):

\[ \href{#STM}{STM(s1,r11)} = \href{#LAM}{LAM(s1,r11)}+\href{#CAP}{CAP(s1,r11)} -ln{ \left(1-\href{#TITC}{TITC(s1,r11)}\right) } \]

Equation 62: STMT
For r11 in regions (11 total):

\[ \href{#STMT}{STMT(r11)} = ln{ \left( \sum_{s1 \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(exp{ \left(\href{#STM}{STM(s1,r11)}\right) }\right) }\right) } \]

Equation 63: INVP
For r11 in regions (11 total):

\[ \href{#INVP}{INVP(r11)} = ln{ \left( \sum_{s1 \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(exp{ \left(\href{#INV}{INV(s1,r11)}\right) }\right) }\right) } \]

Equation 64: INVT
For r11 in regions (11 total):

\[ \href{#INVT}{INVT(r11)} = ln{ \left( exp{ \left(\href{#INVY}{INVY(r11)}\right) } +exp{ \left(\href{#INVZ}{INVZ(r11)}\right) } +exp{ \left(\href{#INVP}{INVP(r11)}\right) }\right) } \]

Equation 65: PRID
For r11 in regions (11 total):

\[ \href{#PRID}{PRID(r11)} = \sum_{g20 \; \text{in} \; \href{#goods}{goods}} { \left(\href{#prid_weight}{prid\_weight(g20,r11)} *\href{#PRD}{PRD(g20,r11)}\right) } \]

Equation 66: PRIX
For r11 in regions (11 total):

\[ \href{#PRIX}{PRIX(r11)} = \sum_{g26 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(\href{#prix_weight}{prix\_weight(g26,r11)} *\href{#PRX}{PRX(g26,r11)}\right) } \]

Equation 67: OUTP
For r11 in regions (11 total):

\[ \href{#OUTP}{OUTP(r11)} = ln{ \left( \sum_{g20 \; \text{in} \; \href{#goods}{goods}} { \left(exp{ \left( \href{#PRD}{PRD(g20,r11)}+\href{#OUG}{OUG(g20,r11)}\right) }\right) }\right) } -\href{#PRID}{PRID(r11)} \]

Equation 68: OUTL
For r11 in regions (11 total):

\[ lead({\href{#OUTL}{OUTL(r11)}}) = \href{#OUTP}{OUTP(r11)} \]

Equation 69: INCM
For r11 in regions (11 total):

\[ \href{#INCM}{INCM(r11)} = ln{ \left( \href{#TRAN}{TRAN(r11)}-\href{#TAXL}{TAXL(r11)} +\href{#INTR}{INTR(r11)}*\href{#BOND}{BOND(r11)} +\frac{\href{#IRAS}{IRAS(r11)}}{exp{ \left(\href{#REXN}{REXN(r11)}\right) }} +\href{#PRFZ}{PRFZ(r11)} +{(1-\href{#TCOR}{TCOR(r11)})}*\href{#PRFT}{PRFT(r11)} +\frac{{({(1-\href{#TINC}{TINC(r11)})} *{(exp{ \left( \href{#WAGE}{WAGE(r11)}+\href{#IITL}{IITL(r11)}\right) } +exp{ \left( \href{#WAGE}{WAGE(r11)}+\href{#CNPL}{CNPL(r11)}\right) } +exp{ \left(\href{#WAGG}{WAGG(r11)}\right) } *\href{#GOVL}{GOVL(r11)} +\sum_{s1 \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(exp{ \left( \href{#WAG}{WAG(s1,r11)}+\href{#LAB}{LAB(s1,r11)}\right) }\right) })})}}{exp{ \left(\href{#PRID}{PRID(r11)}\right) }}\right) } \]

Equation 70: CONP
For r11 in regions (11 total):

\[ \href{#CONP}{CONP(r11)} = ln{ \left( \href{#fore_c}{fore\_c(r11)} *{(\href{#timepref}{timepref(r11)}+\href{#RISW}{RISW(r11)})} *exp{ \left( \href{#WELT}{WELT(r11)}+\href{#PRID}{PRID(r11)} -\href{#PRCT}{PRCT(r11)}\right) } +{(1-\href{#fore_c}{fore\_c(r11)})}*\href{#mpc}{mpc(r11)} *exp{ \left( \href{#INCM}{INCM(r11)}+\href{#PRID}{PRID(r11)} -\href{#PRCT}{PRCT(r11)}\right) } +\href{#SHKC}{SHKC(r11)}\right) } \]

Equation 71: IRAS
For o2 in owner (11 total):

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

Equation 72: INAS
For o2 in owner (11 total):

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

Equation 73: CNPL
For r11 in regions (11 total):

\[ \href{#CNPL}{CNPL(r11)} = {(\href{#sigma_oH}{sigma\_oH(r11)}-1)} *{(\href{#SHLZ}{SHLZ(r11)}+\href{#SHYZ}{SHYZ(r11)})} +ln{ \left( \href{#delta_oH}{delta\_oH(\text{l},r11)}\right) } +\href{#CONP}{CONP(r11)} +\href{#sigma_oH}{sigma\_oH(r11)} *{(\href{#PRCT}{PRCT(r11)}-\href{#WAGE}{WAGE(r11)})} \]

Equation 74: CNPE
For r11 in regions (11 total):

\[ \href{#CNPE}{CNPE(r11)} = {(\href{#sigma_oH}{sigma\_oH(r11)}-1)} *{(\href{#SHEFC}{SHEFC(r11)}+\href{#SHYZ}{SHYZ(r11)})} +ln{ \left( \href{#delta_oH}{delta\_oH(\text{e},r11)}\right) } +\href{#CONP}{CONP(r11)} +\href{#sigma_oH}{sigma\_oH(r11)} *{(\href{#PRCT}{PRCT(r11)}-\href{#PRCE}{PRCE(r11)})} \]

Equation 75: CNPO
For r11 in regions (11 total):

\[ \href{#CNPO}{CNPO(r11)} = {(\href{#sigma_oH}{sigma\_oH(r11)}-1)}*\href{#SHYZ}{SHYZ(r11)} +ln{ \left( \href{#delta_oH}{delta\_oH(\text{m},r11)}\right) } +\href{#CONP}{CONP(r11)} +\href{#sigma_oH}{sigma\_oH(r11)} *{(\href{#PRCT}{PRCT(r11)}-\href{#PRCO}{PRCO(r11)})} \]

Equation 76: CNPK
For r11 in regions (11 total):

\[ \href{#CNPK}{CNPK(r11)} = {(\href{#sigma_oH}{sigma\_oH(r11)}-1)}*\href{#SHYZ}{SHYZ(r11)} +ln{ \left( \href{#delta_oH}{delta\_oH(\text{k},r11)}\right) } +\href{#CONP}{CONP(r11)} +\href{#sigma_oH}{sigma\_oH(r11)} *{(\href{#PRCT}{PRCT(r11)}-\href{#PRKZ}{PRKZ(r11)})} \]

Equation 77: FDEN
For g21 in goods_e, r11 in regions (55 total):

\[ \href{#FDEN}{FDEN(g21,r11)} = \href{#CON}{CON(g21,r11)} \]

Equation 78: PRCT
For r11 in regions (11 total):

\[ \href{#PRCT}{PRCT(r11)} = \href{#cd_oH}{cd\_oH(r11)} *{(\href{#delta_oH}{delta\_oH(\text{k},r11)} *\href{#PRKZ}{PRKZ(r11)} +\href{#delta_oH}{delta\_oH(\text{l},r11)} *\href{#WAGE}{WAGE(r11)} +\href{#delta_oH}{delta\_oH(\text{e},r11)} *\href{#PRCE}{PRCE(r11)} +\href{#delta_oH}{delta\_oH(\text{m},r11)} *\href{#PRCO}{PRCO(r11)} -\href{#delta_oH}{delta\_oH(\text{l},r11)} *\href{#SHLZ}{SHLZ(r11)} -\href{#delta_oH}{delta\_oH(\text{e},r11)} *\href{#SHEFC}{SHEFC(r11)})} +\frac{{({(1-\href{#cd_oH}{cd\_oH(r11)})} *ln{ \left( \href{#delta_oH}{delta\_oH(\text{k},r11)} *exp{ \left(\href{#PRKZ}{PRKZ(r11)}\right) } ^{(1-\href{#sigma_oH}{sigma\_oH(r11)})} +\href{#delta_oH}{delta\_oH(\text{l},r11)} *exp{ \left( \href{#WAGE}{WAGE(r11)}-\href{#SHLZ}{SHLZ(r11)}\right) } ^{(1-\href{#sigma_oH}{sigma\_oH(r11)})} +\href{#delta_oH}{delta\_oH(\text{e},r11)} *exp{ \left( \href{#PRCE}{PRCE(r11)}-\href{#SHEFC}{SHEFC(r11)}\right) } ^{(1-\href{#sigma_oH}{sigma\_oH(r11)})} +\href{#delta_oH}{delta\_oH(\text{m},r11)} *exp{ \left(\href{#PRCO}{PRCO(r11)}\right) } ^{(1-\href{#sigma_oH}{sigma\_oH(r11)})}\right) })}}{{(1 -\href{#sigma_oH}{sigma\_oH(r11)}*{(1-\href{#cd_oH}{cd\_oH(r11)})})}} -\href{#SHYZ}{SHYZ(r11)} \]

Equation 79: PRGT
For r11 in regions (11 total):

\[ \href{#PRGT}{PRGT(r11)} = \frac{\href{#delta_oG}{delta\_oG(\text{e},r11)}}{{(\href{#delta_oG}{delta\_oG(\text{e},r11)} +\href{#delta_oG}{delta\_oG(\text{m},r11)})}} *\sum_{g21 \; \text{in} \; \href{#goods_e}{goods\_e}} { \left(\href{#delta_eG}{delta\_eG(g21,r11)}*\href{#PRY}{PRY(g21,r11)}\right) } +\frac{\href{#delta_oG}{delta\_oG(\text{m},r11)}}{{(\href{#delta_oG}{delta\_oG(\text{e},r11)} +\href{#delta_oG}{delta\_oG(\text{m},r11)})}} *\sum_{g23 \; \text{in} \; \href{#goods_m}{goods\_m}} { \left(\href{#delta_mG}{delta\_mG(g23,r11)}*\href{#PRY}{PRY(g23,r11)}\right) } \]

Equation 80: MONE
For r11 in regions (11 total):

\[ \href{#MONE}{MONE(r11)} = \href{#PRID}{PRID(r11)}+\href{#OUTP}{OUTP(r11)} +\href{#int_elast}{int\_elast(r11)}*\href{#INTN}{INTN(r11)} +\href{#SHKM}{SHKM(r11)} \]

Equation 81: INTF
For r11 in regions (11 total):

\[ \href{#INTF}{INTF(r11)} = \href{#INTN}{INTN(r11)}-lead({\href{#PRID}{PRID(r11)}}) +\href{#PRID}{PRID(r11)} \]

Equation 82: INTR
For r11 in regions (11 total):

\[ \href{#INTR}{INTR(r11)} = \href{#INTF}{INTF(r11)}+\href{#RISR}{RISR(r11)} \]

Equation 83: INFP
For r11 in regions (11 total):

\[ \href{#INFP}{INFP(r11)} = \href{#PRID}{PRID(r11)}-\href{#PRDL}{PRDL(r11)} \]

Equation 84: PRCL
For r11 in regions (11 total):

\[ lead({\href{#PRCL}{PRCL(r11)}}) = \href{#PRCT}{PRCT(r11)} \]

Equation 85: PRDL
For r11 in regions (11 total):

\[ lead({\href{#PRDL}{PRDL(r11)}}) = \href{#PRID}{PRID(r11)} \]

Equation 86: GDPN
For r11 in regions (11 total):

\[ \href{#GDPN}{GDPN(r11)} = ln{ \left( exp{ \left( \href{#PRCT}{PRCT(r11)}+\href{#CONP}{CONP(r11)}\right) } +exp{ \left( \href{#PRID}{PRID(r11)}+\href{#GCET}{GCET(r11)}\right) } +exp{ \left( \href{#PRII}{PRII(r11)}+\href{#INVT}{INVT(r11)}\right) } +exp{ \left(\href{#PRID}{PRID(r11)}\right) } *\href{#TBAL}{TBAL(r11)} +\sum_{g26 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(exp{ \left(\href{#PRII}{PRII(r11)}\right) } *\href{#INS}{INS(r11,g26)}\right) }\right) } \]

Equation 87: GDPR
For r11 in regions (11 total):

\[ \href{#GDPR}{GDPR(r11)} = ln{ \left( exp{ \left(\href{#CONP}{CONP(r11)}\right) } +exp{ \left(\href{#GCET}{GCET(r11)}\right) } +exp{ \left(\href{#INVT}{INVT(r11)}\right) } +\href{#TBAL}{TBAL(r11)} +\sum_{g26 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(\href{#INS}{INS(r11,g26)}\right) }\right) } \]

Equation 88: PGDP
For r11 in regions (11 total):

\[ \href{#PGDP}{PGDP(r11)} = \href{#GDPN}{GDPN(r11)}-\href{#GDPR}{GDPR(r11)} \]

Equation 89: GNPR
For r11 in regions (11 total):

\[ \href{#GNPR}{GNPR(r11)} = ln{ \left( exp{ \left(\href{#GDPR}{GDPR(r11)}\right) } +\frac{{(\href{#PBAL}{PBAL(r11)}+\href{#IRAS}{IRAS(r11)})}}{exp{ \left(\href{#REXN}{REXN(r11)}\right) }}\right) } \]

Equation 90: CURN
For r11 in regions (11 total):

\[ \href{#CURN}{CURN(r11)} = \href{#TBAL}{TBAL(r11)} +\frac{{(\href{#PBAL}{PBAL(r11)}+\href{#INAS}{INAS(r11)})}}{exp{ \left(\href{#REXN}{REXN(r11)}\right) }} \]

Equation 91: CURR
For r11 in regions (11 total):

\[ \href{#CURR}{CURR(r11)} = \href{#TBAU}{TBAU(r11)}+\href{#PBAL}{PBAL(r11)} +\href{#IRAS}{IRAS(r11)} \]

Equation 92: WELT
For r11 in regions (11 total):

\[ \href{#WELT}{WELT(r11)} = ln{ \left( \href{#BOND}{BOND(r11)} +\frac{\href{#ASSU}{ASSU(r11)}}{exp{ \left(\href{#REXN}{REXN(r11)}\right) }} +\frac{{(\href{#mongdp}{mongdp(r11)} *exp{ \left(\href{#MONE}{MONE(r11)}\right) })}}{exp{ \left(\href{#PRID}{PRID(r11)}\right) }} +exp{ \left(\href{#WELH}{WELH(r11)}\right) } +exp{ \left( \href{#LAMY}{LAMY(r11)}+\href{#CAPY}{CAPY(r11)}\right) } +exp{ \left( \href{#LAMZ}{LAMZ(r11)}+\href{#CAPZ}{CAPZ(r11)}\right) } +\sum_{s1 \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(exp{ \left(\href{#STM}{STM(s1,r11)}\right) }\right) }\right) } \]

Equation 93: WELH
For r11 in regions (11 total):

\[ lead({\href{#WELH}{WELH(r11)}}) = ln{ \left( {(1+\href{#RISW}{RISW(r11)}+\href{#RISH}{RISH(r11)} +\href{#INTR}{INTR(r11)} -\href{#labgrow}{labgrow(r11)})} *exp{ \left(\href{#WELH}{WELH(r11)}\right) } -\href{#TRAN}{TRAN(r11)} +exp{ \left(\href{#TAXH}{TAXH(r11)}\right) } +\href{#TAXL}{TAXL(r11)} -\frac{{(exp{ \left( \href{#WAGE}{WAGE(r11)}+\href{#IITL}{IITL(r11)}\right) } +exp{ \left( \href{#WAGE}{WAGE(r11)}+\href{#CNPL}{CNPL(r11)}\right) } +exp{ \left(\href{#WAGG}{WAGG(r11)}\right) } *\href{#GOVL}{GOVL(r11)} +\sum_{s1 \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(exp{ \left( \href{#WAG}{WAG(s1,r11)}+\href{#LAB}{LAB(s1,r11)}\right) }\right) })}}{exp{ \left(\href{#PRID}{PRID(r11)}\right) }}\right) } \]

Equation 94: SAVI
For r11 in regions (11 total):

\[ \href{#SAVI}{SAVI(r11)} = exp{ \left( \href{#INVT}{INVT(r11)}+\href{#PRII}{PRII(r11)} -\href{#PRID}{PRID(r11)}\right) } +\frac{\href{#CURR}{CURR(r11)}}{exp{ \left(\href{#REXN}{REXN(r11)}\right) }} +\href{#DEFI}{DEFI(r11)} \]

Equation 95: SAVN
For r11 in regions (11 total):

\[ \href{#SAVN}{SAVN(r11)} = exp{ \left( \href{#INVT}{INVT(r11)}+\href{#PRII}{PRII(r11)} -\href{#PRID}{PRID(r11)}\right) } +\href{#CURN}{CURN(r11)} +\href{#DEFN}{DEFN(r11)} \]

Equation 96: SAVT
For r11 in regions (11 total):

\[ \href{#SAVT}{SAVT(r11)} = exp{ \left( \href{#INVT}{INVT(r11)}+\href{#PRII}{PRII(r11)} -\href{#PRID}{PRID(r11)}\right) } +\href{#CURN}{CURN(r11)} \]

Equation 97: TBAL
For r11 in regions (11 total):

\[ \href{#TBAL}{TBAL(r11)} = exp{ \left(\href{#EXQT}{EXQT(r11)}\right) } -exp{ \left(\href{#IMQT}{IMQT(r11)}\right) } \]

Equation 98: TBAU
For r11 in regions (11 total):

\[ \href{#TBAU}{TBAU(r11)} = \href{#TBAL}{TBAL(r11)} *exp{ \left(\href{#REXN}{REXN(r11)}\right) } \]

Equation 99: EMCO2
For r11 in regions, s1 in sec_std (209 total):

\[ \href{#EMCO2}{EMCO2(s1,r11)} = ln{ \left( \sum_{g21 \; \text{in} \; \href{#goods_e}{goods\_e}} { \left(\href{#co2coef}{co2coef(s1,g21,r11)} *exp{ \left(\href{#EN}{EN(s1,g21,r11)}\right) }\right) }\right) } \]

Equation 100: EMCO2FD
For r11 in regions (11 total):

\[ \href{#EMCO2FD}{EMCO2FD(r11)} = ln{ \left( \sum_{g21 \; \text{in} \; \href{#goods_e}{goods\_e}} { \left(\href{#co2coefFD}{co2coefFD(g21,r11)} *exp{ \left(\href{#FDEN}{FDEN(g21,r11)}\right) }\right) }\right) } \]

Equation 101: EMCO
For r11 in regions (11 total):

\[ \href{#EMCO}{EMCO(r11)} = ln{ \left( \sum_{s1 \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(exp{ \left(\href{#EMCO2}{EMCO2(s1,r11)}\right) }\right) } +exp{ \left(\href{#EMCO2FD}{EMCO2FD(r11)}\right) }\right) } \]

Equation 102: ENER
For r11 in regions (11 total):

\[ \href{#ENER}{ENER(r11)} = \sum_{g26 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(\href{#btucoef}{btucoef(g26,r11)} *exp{ \left(\href{#OUY}{OUY(g26,r11)}\right) } *1000\right) } -\sum_{g26 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(\href{#btucoef}{btucoef(g26,r11)} *exp{ \left(\href{#EXQ}{EXQ(g26,r11)}\right) } *1000\right) } \]

Equation 103: EMIS
For r11 in regions (11 total):

\[ \href{#EMIS}{EMIS(r11)} = \frac{{(exp{ \left(\href{#EMCO}{EMCO(r11)}\right) } *12)}}{44} \]

Equation 104: EMIT
For r11 in regions (11 total):

\[ \href{#EMIT}{EMIT(r11)} = \href{#EMIS}{EMIS(r11)}-\href{#EMIX}{EMIX(r11)} \]

Equation 105: EMISW

\[ \href{#EMISW}{EMISW} = \sum_{r11 \; \text{in} \; \href{#regions}{regions}} { \left(\href{#EMIS}{EMIS(r11)}\right) } \]

Equation 106: ENERW

\[ \href{#ENERW}{ENERW} = \sum_{r11 \; \text{in} \; \href{#regions}{regions}} { \left(\href{#ENER}{ENER(r11)}\right) } \]

Equation 107: EMCOW

\[ \href{#EMCOW}{EMCOW} = \frac{{(\href{#EMISW}{EMISW}*44)}}{12} \]

Equation 108: EXCH
For n1 in notUSA (10 total):

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

Equation 109: EXCL
For r11 in regions (11 total):

\[ lead({\href{#EXCL}{EXCL(r11)}}) = \href{#EXCH}{EXCH(r11)} \]

Equation 110: REXC
For r11 in regions (11 total):

\[ lead({\href{#REXC}{REXC(r11)}}) = \href{#REXC}{REXC(r11)}-\href{#INTR}{INTR(r11)} +\href{#INTR}{INTR(\text{USA})} +\href{#EXCR}{EXCR(r11)} \]

Equation 111: NEER
For d in dest (11 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 112: REER
For d in dest (11 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 113: ABUY
For o2 in owner (11 total):

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

Equation 114: ASSE
For c in currency, o2 in owner (121 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 115: ASSU
For o2 in owner (11 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 116: EYGR
For r11 in regions (11 total):

\[ \href{#EYGR}{EYGR(r11)} = lead({\href{#OUTP}{OUTP(r11)}})-\href{#OUTP}{OUTP(r11)} \]

Equation 117: EPRC
For r11 in regions (11 total):

\[ \href{#EPRC}{EPRC(r11)} = lead({\href{#PRCT}{PRCT(r11)}})-\href{#PRCT}{PRCT(r11)} \]

Equation 118: INFL
For r11 in regions (11 total):

\[ \href{#INFL}{INFL(r11)} = \href{#PRCT}{PRCT(r11)}-\href{#PRCL}{PRCL(r11)} \]

Equation 119: PRCOL
For r11 in regions (11 total):

\[ lead({\href{#PRCOL}{PRCOL(r11)}}) = \href{#PRCO}{PRCO(r11)} \]

Equation 120: INFCL
For r11 in regions (11 total):

\[ \href{#INFCL}{INFCL(r11)} = \href{#PRCO}{PRCO(r11)}-\href{#PRCOL}{PRCOL(r11)} \]

Equation 121: YGRO
For r11 in regions (11 total):

\[ \href{#YGRO}{YGRO(r11)} = \href{#OUTP}{OUTP(r11)}-\href{#OUTL}{OUTL(r11)} \]

Equation 122: GNEN
For r11 in regions (11 total):

\[ \href{#GNEN}{GNEN(r11)} = ln{ \left( exp{ \left( \href{#PRCT}{PRCT(r11)}+\href{#CONP}{CONP(r11)}\right) } +exp{ \left( \href{#PRID}{PRID(r11)}+\href{#GCET}{GCET(r11)}\right) } +exp{ \left( \href{#PRII}{PRII(r11)}+\href{#INVT}{INVT(r11)}\right) } +\sum_{g26 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(exp{ \left(\href{#PRII}{PRII(r11)}\right) } *\href{#INS}{INS(r11,g26)}\right) }\right) } \]

Equation 123: GNER
For r11 in regions (11 total):

\[ \href{#GNER}{GNER(r11)} = ln{ \left( exp{ \left(\href{#CONP}{CONP(r11)}\right) } +exp{ \left(\href{#GCET}{GCET(r11)}\right) } +exp{ \left(\href{#INVT}{INVT(r11)}\right) } +\sum_{g26 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(\href{#INS}{INS(r11,g26)}\right) }\right) } \]

Equation 124: INTN
For r11 in regions (11 total):

\[ \href{#INTN}{INTN(r11)} = \href{#mrule_r}{mrule\_r(r11)}*\href{#INTL}{INTL(r11)} +\href{#mrule_ex}{mrule\_ex(r11)} *{(\href{#EXCH}{EXCH(r11)}-\href{#EXCL}{EXCL(r11)} -\href{#EXCX}{EXCX(r11)})} +\href{#mrule_1}{mrule\_1(r11)} *{(\href{#INFL}{INFL(r11)}-\href{#INFX}{INFX(r11)})} +\href{#mrule_2}{mrule\_2(r11)} *{(\href{#INFP}{INFP(r11)}-\href{#INFX}{INFX(r11)})} +\href{#mrule_3}{mrule\_3(r11)} *{(\href{#INFCL}{INFCL(r11)}-\href{#INFX}{INFX(r11)})} +\href{#mrule_4}{mrule\_4(r11)} *{(\href{#PRCT}{PRCT(r11)}-\href{#PTAR}{PTAR(r11)})} +\href{#mrule_5}{mrule\_5(r11)} *{(\href{#PRID}{PRID(r11)}-\href{#PTAR}{PTAR(r11)})} +\href{#mrule_6}{mrule\_6(r11)} *{(\href{#WAGE}{WAGE(r11)}-\href{#PTAR}{PTAR(r11)})} +\href{#mrule_7}{mrule\_7(r11)}*0 +\href{#mrule_8}{mrule\_8(r11)} *{(\href{#OUTP}{OUTP(r11)}-\href{#OUTL}{OUTL(r11)} -\href{#ROGY}{ROGY(r11)})} +\href{#mrule_9}{mrule\_9(r11)} *{(\href{#OUTP}{OUTP(r11)}-\href{#OUTL}{OUTL(r11)} -\href{#ROGY}{ROGY(r11)} +\href{#INFP}{INFP(r11)} -\href{#INFX}{INFX(r11)})} +\href{#mrule_10}{mrule\_10(r11)} *{(\href{#GDPN}{GDPN(r11)}-\href{#ROGY}{ROGY(r11)})} +\href{#mrule_11}{mrule\_11(r11)} *{(\href{#OUTP}{OUTP(r11)}+\href{#PRID}{PRID(r11)})} +\href{#mrule_12}{mrule\_12(r11)} *ln{ \left( exp{ \left( \href{#OUTP}{OUTP(r11)}+\href{#PRID}{PRID(r11)}\right) } -\href{#TBAL}{TBAL(r11)}\right) } +\href{#mrule_13}{mrule\_13(r11)} *{(\href{#EPRC}{EPRC(r11)}-\href{#INFX}{INFX(r11)})} +\href{#mrule_14}{mrule\_14(r11)} *{(\href{#EYGR}{EYGR(r11)}-\href{#ROGY}{ROGY(r11)})} +\href{#mrule_15}{mrule\_15(r11)} *{(\href{#GNEN}{GNEN(r11)}-\href{#ROGY}{ROGY(r11)})} \]

Equation 125: INTL
For r11 in regions (11 total):

\[ lead({\href{#INTL}{INTL(r11)}}) = \href{#INTN}{INTN(r11)} \]

Equation 126: GCE
For g21 in goods_e, r11 in regions (55 total):

\[ \href{#GCE}{GCE(g21,r11)} = ln{ \left(\href{#delta_eG}{delta\_eG(g21,r11)}\right) } +ln{ \left( \frac{\href{#delta_oG}{delta\_oG(\text{e},r11)}}{{(\href{#delta_oG}{delta\_oG(\text{e},r11)} +\href{#delta_oG}{delta\_oG(\text{m},r11)})}}\right) } +\href{#GOVS}{GOVS(r11)} +\href{#PRID}{PRID(r11)} -\href{#PRY}{PRY(g21,r11)} \]

Equation 127: GCE
For g23 in goods_m, r11 in regions (77 total):

\[ \href{#GCE}{GCE(g23,r11)} = ln{ \left(\href{#delta_mG}{delta\_mG(g23,r11)}\right) } +ln{ \left( \frac{\href{#delta_oG}{delta\_oG(\text{m},r11)}}{{(\href{#delta_oG}{delta\_oG(\text{e},r11)} +\href{#delta_oG}{delta\_oG(\text{m},r11)})}}\right) } +\href{#GOVS}{GOVS(r11)} +\href{#PRID}{PRID(r11)} -\href{#PRY}{PRY(g23,r11)} \]

Equation 128: GCET
For r11 in regions (11 total):

\[ \href{#GCET}{GCET(r11)} = ln{ \left( \sum_{g26 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(exp{ \left( \href{#GCE}{GCE(g26,r11)}+\href{#PRY}{PRY(g26,r11)}\right) }\right) }\right) } -\href{#PRID}{PRID(r11)} \]

Equation 129: GOVT
For r11 in regions (11 total):

\[ \href{#GOVT}{GOVT(r11)} = ln{ \left( exp{ \left(\href{#GCET}{GCET(r11)}\right) } +exp{ \left( \href{#WAGG}{WAGG(r11)}-\href{#PRID}{PRID(r11)}\right) } *\href{#GOVL}{GOVL(r11)}\right) } \]

Equation 130: TRAN
For r11 in regions (11 total):

\[ \href{#TRAN}{TRAN(r11)} = \href{#TRANX}{TRANX(r11)} +\href{#transgdp}{transgdp(r11)} *exp{ \left(\href{#OUTP}{OUTP(r11)}\right) } \]

Equation 131: TXM
For d in dest, g26 in goods_o (132 total):

\[ \href{#TXM}{TXM(g26,d)} = \frac{\sum_{o1 \; \text{in} \; \href{#orig}{orig}} { \left({(\href{#TIM}{TIM(g26,d,o1)}*\href{#MUL}{MUL(d,o1)} +\href{#TIF}{TIF(g26,d)}*\href{#FTA}{FTA(d,o1)})} *exp{ \left( \href{#PIM}{PIM(g26,d,o1)}+\href{#IMP}{IMP(g26,d,o1)}\right) }\right) }}{exp{ \left(\href{#PRID}{PRID(d)}\right) }} \]

Equation 132: TAXM
For d in dest (11 total):

\[ \href{#TAXM}{TAXM(d)} = \sum_{g26 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(\href{#TXM}{TXM(g26,d)}\right) } \]

Equation 133: TAXX
For r11 in regions (11 total):

\[ \href{#TAXX}{TAXX(r11)} = \frac{\sum_{g26 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(\href{#TEX}{TEX(g26,r11)} *exp{ \left( \href{#PRS}{PRS(g26,r11)}+\href{#EXQ}{EXQ(g26,r11)}\right) }\right) }}{exp{ \left(\href{#PRID}{PRID(r11)}\right) }} \]

Equation 134: TAXH
For r11 in regions (11 total):

\[ \href{#TAXH}{TAXH(r11)} = ln{ \left( \href{#TINC}{TINC(r11)} *{(exp{ \left( \href{#WAGE}{WAGE(r11)}+\href{#IITL}{IITL(r11)}\right) } +exp{ \left( \href{#WAGE}{WAGE(r11)}+\href{#CNPL}{CNPL(r11)}\right) } +exp{ \left(\href{#WAGG}{WAGG(r11)}\right) } *\href{#GOVL}{GOVL(r11)} +\sum_{s1 \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(exp{ \left( \href{#WAG}{WAG(s1,r11)}+\href{#LAB}{LAB(s1,r11)}\right) }\right) })} -\href{#TITCH}{TITCH(r11)} *exp{ \left( \href{#PRII}{PRII(r11)}+\href{#INVZ}{INVZ(r11)}\right) }\right) } -\href{#PRID}{PRID(r11)} \]

Equation 135: BOND
For r11 in regions (11 total):

\[ lead({\href{#BOND}{BOND(r11)}}) = \href{#DEFI}{DEFI(r11)} +\href{#BOND}{BOND(r11)}*{(1-\href{#labgrow}{labgrow(r11)})} -\href{#PBAG}{PBAG(r11)} \]

Equation 136: TAXL
For r11 in regions (11 total):

\[ \href{#TAXL}{TAXL(r11)} = \href{#INTR}{INTR(r11)}*\href{#BOND}{BOND(r11)} +\href{#TAXS}{TAXS(r11)} \]

Equation 137: TAXT
For r11 in regions (11 total):

\[ \href{#TAXT}{TAXT(r11)} = ln{ \left( exp{ \left(\href{#TAXC}{TAXC(r11)}\right) } +exp{ \left(\href{#TAXH}{TAXH(r11)}\right) } +\href{#TAXL}{TAXL(r11)}+\href{#TAXM}{TAXM(r11)} +\href{#TAXX}{TAXX(r11)} +\href{#TAXE}{TAXE(r11)}\right) } \]

Equation 138: DEFI
For r11 in regions (11 total):

\[ \href{#DEFI}{DEFI(r11)} = exp{ \left(\href{#GOVT}{GOVT(r11)}\right) } +\href{#TRAN}{TRAN(r11)} -exp{ \left(\href{#TAXT}{TAXT(r11)}\right) } +\href{#INTR}{INTR(r11)}*\href{#BOND}{BOND(r11)} \]

Equation 139: DEFN
For r11 in regions (11 total):

\[ \href{#DEFN}{DEFN(r11)} = \href{#DEFI}{DEFI(r11)} +{(\href{#INTN}{INTN(r11)}-\href{#INTR}{INTR(r11)})} *\href{#BOND}{BOND(r11)} \]

Equation 140: PRT
For g21 in goods_e, r11 in regions, s1 in sec_std (1045 total):

\[ \href{#PRT}{PRT(s1,g21,r11)} = ln{ \left( exp{ \left(\href{#PRS}{PRS(g21,r11)}\right) } *{(1+\href{#TAX}{TAX(g21,r11)}+\href{#CTAV}{CTAV(s1,g21,r11)} +\href{#CTAVS}{CTAVS(r11)})} +\href{#TXGS}{TXGS(s1,g21,r11)} +\frac{{({(\href{#TCPS}{TCPS(s1,g21,r11)}+\href{#SCON}{SCON(r11)})} *\href{#co2coef}{co2coef(s1,g21,r11)})}}{100}\right) } \]

Equation 141: CON
For g21 in goods_e, r11 in regions (55 total):

\[ \href{#CON}{CON(g21,r11)} = ln{ \left(\href{#delta_eH}{delta\_eH(g21,r11)}\right) } +\href{#CNPE}{CNPE(r11)} +\href{#sigma_eH}{sigma\_eH(r11)} *{(\href{#PRCE}{PRCE(r11)} -ln{ \left( exp{ \left(\href{#PRY}{PRY(g21,r11)}\right) } *{(1+\href{#CTFDAV}{CTFDAV(g21,r11)})} +\frac{{({(\href{#TCPSFD}{TCPSFD(g21,r11)}+\href{#SCON}{SCON(r11)})} *\href{#co2coefFD}{co2coefFD(g21,r11)})}}{100}\right) })} \]

Equation 142: CON
For g24 in goods_mc, r11 in regions (66 total):

\[ \href{#CON}{CON(g24,r11)} = ln{ \left(\href{#delta_mH}{delta\_mH(g24,r11)}\right) } +\href{#CNPO}{CNPO(r11)} +\href{#sigma_mH}{sigma\_mH(r11)} *{(\href{#PRCO}{PRCO(r11)}-\href{#PRY}{PRY(g24,r11)})} \]

Equation 143: EN
For g21 in goods_e, r11 in regions, s1 in sec_std (1045 total):

\[ \href{#EN}{EN(s1,g21,r11)} = ln{ \left(\href{#delta_e}{delta\_e(r11,s1,g21)}\right) } +\href{#ENT}{ENT(s1,r11)} +\href{#sigma_e}{sigma\_e(s1,r11)} *{(\href{#PRE}{PRE(s1,r11)}-\href{#PRT}{PRT(s1,g21,r11)})} \]

Equation 144: OI
For g23 in goods_m, r11 in regions, s1 in sec_std (1463 total):

\[ \href{#OI}{OI(s1,g23,r11)} = ln{ \left(\href{#delta_m}{delta\_m(r11,s1,g23)}\right) } +\href{#OIN}{OIN(s1,r11)} +\href{#sigma_m}{sigma\_m(s1,r11)} *{(\href{#POI}{POI(s1,r11)}-\href{#PRY}{PRY(g23,r11)})} \]

Equation 145: PRE
For r11 in regions, s1 in sec_std (209 total):

\[ \href{#PRE}{PRE(s1,r11)} = \href{#cd_e}{cd\_e(s1,r11)} *\sum_{g21 \; \text{in} \; \href{#goods_e}{goods\_e}} { \left(\href{#delta_e}{delta\_e(r11,s1,g21)}*\href{#PRT}{PRT(s1,g21,r11)}\right) } +\frac{{({(1-\href{#cd_e}{cd\_e(s1,r11)})} *ln{ \left( \sum_{g21 \; \text{in} \; \href{#goods_e}{goods\_e}} { \left(\href{#delta_e}{delta\_e(r11,s1,g21)} *exp{ \left(\href{#PRT}{PRT(s1,g21,r11)}\right) } ^{(1-\href{#sigma_e}{sigma\_e(s1,r11)})}\right) }\right) })}}{{(1 -\href{#sigma_e}{sigma\_e(s1,r11)}*{(1-\href{#cd_e}{cd\_e(s1,r11)})})}} \]

Equation 146: POI
For r11 in regions, s1 in sec_std (209 total):

\[ \href{#POI}{POI(s1,r11)} = \href{#cd_m}{cd\_m(s1,r11)} *\sum_{g23 \; \text{in} \; \href{#goods_m}{goods\_m}} { \left(\href{#delta_m}{delta\_m(r11,s1,g23)}*\href{#PRY}{PRY(g23,r11)}\right) } +\frac{{({(1-\href{#cd_m}{cd\_m(s1,r11)})} *ln{ \left( \sum_{g23 \; \text{in} \; \href{#goods_m}{goods\_m}} { \left(\href{#delta_m}{delta\_m(r11,s1,g23)} *exp{ \left(\href{#PRY}{PRY(g23,r11)}\right) } ^{(1-\href{#sigma_m}{sigma\_m(s1,r11)})}\right) }\right) })}}{{(1 -\href{#sigma_m}{sigma\_m(s1,r11)}*{(1-\href{#cd_m}{cd\_m(s1,r11)})})}} \]

Equation 147: PRCE
For r11 in regions (11 total):

\[ \href{#PRCE}{PRCE(r11)} = \href{#cd_eH}{cd\_eH(r11)} *\sum_{g21 \; \text{in} \; \href{#goods_e}{goods\_e}} { \left(\href{#delta_eH}{delta\_eH(g21,r11)} *ln{ \left( exp{ \left(\href{#PRY}{PRY(g21,r11)}\right) } *{(1+\href{#CTFDAV}{CTFDAV(g21,r11)})} +\frac{{({(\href{#TCPSFD}{TCPSFD(g21,r11)}+\href{#SCON}{SCON(r11)})} *\href{#co2coefFD}{co2coefFD(g21,r11)})}}{100}\right) }\right) } +\frac{{({(1-\href{#cd_eH}{cd\_eH(r11)})} *ln{ \left( \sum_{g21 \; \text{in} \; \href{#goods_e}{goods\_e}} { \left(\href{#delta_eH}{delta\_eH(g21,r11)} *{(exp{ \left(\href{#PRY}{PRY(g21,r11)}\right) } *{(1+\href{#CTFDAV}{CTFDAV(g21,r11)})} +\frac{{({(\href{#TCPSFD}{TCPSFD(g21,r11)}+\href{#SCON}{SCON(r11)})} *\href{#co2coefFD}{co2coefFD(g21,r11)})}}{100})} ^{(1-\href{#sigma_eH}{sigma\_eH(r11)})}\right) }\right) })}}{{(1 -\href{#sigma_eH}{sigma\_eH(r11)}*{(1-\href{#cd_eH}{cd\_eH(r11)})})}} \]

Equation 148: PRCO
For r11 in regions (11 total):

\[ \href{#PRCO}{PRCO(r11)} = \href{#cd_mH}{cd\_mH(r11)} *\sum_{g23 \; \text{in} \; \href{#goods_m}{goods\_m}} { \left(\href{#delta_mH}{delta\_mH(g23,r11)}*\href{#PRY}{PRY(g23,r11)}\right) } +\frac{{({(1-\href{#cd_mH}{cd\_mH(r11)})} *ln{ \left( \sum_{g23 \; \text{in} \; \href{#goods_m}{goods\_m}} { \left(\href{#delta_mH}{delta\_mH(g23,r11)} *exp{ \left(\href{#PRY}{PRY(g23,r11)}\right) } ^{(1-\href{#sigma_mH}{sigma\_mH(r11)})}\right) }\right) })}}{{(1 -\href{#sigma_mH}{sigma\_mH(r11)}*{(1-\href{#cd_mH}{cd\_mH(r11)})})}} \]

Equation 149: TAXE
For r11 in regions (11 total):

\[ \href{#TAXE}{TAXE(r11)} = \href{#RVGS}{RVGS(r11)}+\href{#RVCTAV}{RVCTAV(r11)} \]

Equation 150: TAXC
For r11 in regions (11 total):

\[ \href{#TAXC}{TAXC(r11)} = ln{ \left( \href{#TCOR}{TCOR(r11)} *{(\sum_{s1 \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(\href{#PRF}{PRF(s1,r11)}\right) } +\href{#PRFY}{PRFY(r11)})} +\frac{{(\sum_{g20 \; \text{in} \; \href{#goods}{goods}} { \left(\href{#TAX}{TAX(g20,r11)} *exp{ \left( \href{#PRD}{PRD(g20,r11)}+\href{#OUG}{OUG(g20,r11)}\right) }\right) } +\sum_{g26 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(\href{#TAX}{TAX(g26,r11)} *exp{ \left( \href{#PMR}{PMR(g26,r11)}+\href{#IMQ}{IMQ(g26,r11)}\right) }\right) } -\sum_{s1 \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(\href{#TITC}{TITC(s1,r11)} *exp{ \left( \href{#PRII}{PRII(r11)}+\href{#INV}{INV(s1,r11)}\right) }\right) } -\sum_{g26 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(\href{#TAX}{TAX(g26,r11)} *exp{ \left( \href{#PRS}{PRS(g26,r11)}+\href{#EXQ}{EXQ(g26,r11)}\right) }\right) })}}{exp{ \left(\href{#PRID}{PRID(r11)}\right) }}\right) } \]

Equation 151: OUY
For g22 in goods_g, r11 in regions (88 total):

\[ \href{#OUY}{OUY(g22,r11)} = \href{#ELE}{ELE(g22,r11)} \]

Equation 152: OUG
For g22 in goods_g, r11 in regions (88 total):

\[ \href{#OUG}{OUG(g22,r11)} = \href{#OUY}{OUY(g22,r11)} \]

Equation 153: ELE
For g22 in goods_g, r11 in regions (88 total):

\[ \href{#ELE}{ELE(g22,r11)} = {(\href{#sigma_ed}{sigma\_ed(r11)}-1)}*\href{#SHY}{SHY(\text{a01},r11)} +ln{ \left(\href{#delta_ed}{delta\_ed(r11,g22)}\right) } +\href{#OUP}{OUP(\text{a01},r11)} +\href{#sigma_ed}{sigma\_ed(r11)} *{(\href{#PRP}{PRP(\text{a01},r11)} -ln{ \left( exp{ \left(\href{#PRY}{PRY(g22,r11)}\right) } -\href{#gwhcoef}{gwhcoef(g22,r11)}*\href{#credfac}{credfac(g22,r11)} *\href{#PCEC}{PCEC(r11)} +\href{#RATEFEE}{RATEFEE(g22,r11)}\right) })} \]

Equation 154: PRS
For g22 in goods_g, r11 in regions (88 total):

\[ \href{#PRS}{PRS(g22,r11)} = \href{#PRD}{PRD(g22,r11)} \]

Equation 155: PED
For r11 in regions (11 total):

\[ \href{#PED}{PED(r11)} = \href{#cd_ed}{cd\_ed(r11)} *\sum_{g22 \; \text{in} \; \href{#goods_g}{goods\_g}} { \left(\href{#delta_ed}{delta\_ed(r11,g22)} *ln{ \left( exp{ \left( \href{#PRY}{PRY(g22,r11)} -\href{#gwhcoef}{gwhcoef(g22,r11)}*\href{#credfac}{credfac(g22,r11)} *\href{#PCEC}{PCEC(r11)} +\href{#RATEFEE}{RATEFEE(g22,r11)}\right) }\right) }\right) } +\frac{{({(1-\href{#cd_ed}{cd\_ed(r11)})} *ln{ \left( \sum_{g22 \; \text{in} \; \href{#goods_g}{goods\_g}} { \left(\href{#delta_ed}{delta\_ed(r11,g22)} *{(exp{ \left(\href{#PRY}{PRY(g22,r11)}\right) } -\href{#gwhcoef}{gwhcoef(g22,r11)}*\href{#credfac}{credfac(g22,r11)} *\href{#PCEC}{PCEC(r11)} +\href{#RATEFEE}{RATEFEE(g22,r11)})} ^{(1-\href{#sigma_ed}{sigma\_ed(r11)})}\right) }\right) })}}{{(1 -\href{#sigma_ed}{sigma\_ed(r11)}*{(1-\href{#cd_ed}{cd\_ed(r11)})})}} -\href{#SHY}{SHY(\text{a01},r11)} \]

Equation 156: PRP
For r11 in regions (11 total):

\[ \href{#PRP}{PRP(\text{a01},r11)} = ln{ \left( exp{ \left(\href{#PED}{PED(r11)}\right) } +\frac{{(\href{#PCEC}{PCEC(r11)}*\href{#GWHC}{GWHC(r11)})}}{exp{ \left(\href{#OUP}{OUP(\text{a01},r11)}\right) }}\right) } \]

Equation 157: GWHA
For r11 in regions (11 total):

\[ \href{#GWHA}{GWHA(r11)} = \sum_{g20 \; \text{in} \; \href{#goods}{goods}} { \left(\href{#gwhcoef}{gwhcoef(g20,r11)} *exp{ \left(\href{#OUG}{OUG(g20,r11)}\right) }\right) } \]

Equation 158: GWHC
For r11 in regions (11 total):

\[ \href{#GWHC}{GWHC(r11)} = \sum_{g20 \; \text{in} \; \href{#goods}{goods}} { \left(\href{#credfac}{credfac(g20,r11)}*\href{#gwhcoef}{gwhcoef(g20,r11)} *exp{ \left(\href{#OUG}{OUG(g20,r11)}\right) }\right) } \]

Equation 159: CSHR
For r11 in regions (11 total):

\[ \href{#CSHR}{CSHR(r11)} = \frac{\href{#GWHC}{GWHC(r11)}}{\href{#GWHA}{GWHA(r11)}} \]

Equation 160: EDRC
For r11 in regions (11 total):

\[ \href{#EDRC}{EDRC(r11)} = \sum_{g22 \; \text{in} \; \href{#goods_g}{goods\_g}} { \left({(\href{#CO2RATE}{CO2RATE(g22,r11)}-\href{#CO2TAR}{CO2TAR(r11)})} *\href{#gwhcoef}{gwhcoef(g22,r11)} *exp{ \left(\href{#OUG}{OUG(g22,r11)}\right) }\right) } \]

Equation 161: GENCO2
For r11 in regions (11 total):

\[ \href{#GENCO2}{GENCO2(\text{a13},r11)} = exp{ \left( \href{#EN}{EN(\text{a13},\text{g04},r11)}\right) } *\href{#carcoef}{carcoef(\text{g04},r11)} *1000 \]

Equation 162: GENCO2
For r11 in regions (11 total):

\[ \href{#GENCO2}{GENCO2(\text{a14},r11)} = exp{ \left( \href{#EN}{EN(\text{a13},\text{g02},r11)}\right) } *\href{#carcoef}{carcoef(\text{g02},r11)} *1000 \]

Equation 163: GENCO2
For r11 in regions (11 total):

\[ \href{#GENCO2}{GENCO2(\text{a15},r11)} = {(exp{ \left( \href{#EN}{EN(\text{a15},\text{g05},r11)}\right) } +exp{ \left( \href{#EN}{EN(\text{a03},\text{g05},r11)} +\href{#EN}{EN(\text{a15},\text{g03},r11)} -\href{#OUY}{OUY(\text{g03},r11)}\right) })} *\href{#carcoef}{carcoef(\text{g05},r11)} *1000 \]

Equation 164: GENRATE
For r11 in regions (11 total):

\[ \href{#GENRATE}{GENRATE(r11)} = \frac{{(\sum_{f1 \; \text{in} \; \href{#fgen}{fgen}} { \left(\href{#GENCO2}{GENCO2(f1,r11)}\right) } *2205 *1000)}}{\href{#GWHA}{GWHA(r11)}} \]

Equation 165: REXN
For r11 in regions (11 total):

\[ \href{#REXN}{REXN(r11)} = \href{#REXC}{REXC(r11)} \]

Equation 166: REXB

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

Equation 167: REXL

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

G-Cubed model_20C_179