G-Cubed model_20R_181

Sets:
NameElementsDescription
abroadUSA, ROWused in asset calculations
currencyUSA, ROWcurrency of assets
destUSA, ROWalias for regions
domforD, Fdomestic vs foreign
factorsK, L, E, Mtop tier factors of production
fgena13, a14, a15 
good_coalg04coal
good_coal_generationg13coal electricity generation
good_constructiong06construction output
good_durable_manufacturingg09durable manufacturing goods
good_electricity_distributiong01electricity
good_gasg02natural gas
good_gas_generationg14gas electricity generation
good_hydro_generationg19hydro electricity generation
good_nondurable_manufacturingg10non-durable manufacturing goods
good_nuclear_generationg16nuclear electricity generation
good_oilg05crude oil
good_oil_generationg15oil electricity generation
good_oil_refiningg03liquid fossil fuels from oil-refining
good_other_agricultureg08agriculture, forestry, fishing and hunting products
good_other_generationg20other electricity generation
good_other_miningg07other mining products
good_servicesg12services
good_solar_generationg18solar electricity generation
good_transportationg11transportation
good_wind_generationg17wind electricity generation
goodsg01, g02, g03, g04, g05, g06, g07, g08, g09, g10, g11, g12, g13, g14, g15, g16, g17, g18, g19, g20goods other than the capital-production goods Y - for firms, and Z - for households
goods_eg01, g02, g03, g04, g05energy goods
goods_gg13, g14, g15, g16, g17, g18, g19, g20electricity generation
goods_mg06, g07, g08, g09, g10, g11, g12material goods
goods_mcg06, g07, g08, g10, g11, g12Material goods less durable manufacturing - those material goods consumed directly
goods_ng06, g07, g08, g09, g10, g11, g12, g13, g14, g15, g16, g17, g18, g19, g20Non-energy goods
goods_og01, g02, g03, g04, g05, g06, g07, g08, g09, g10, g11, g12ordinary goods - those with standard treatment
goods_ocg01, g02, g03, g04, g05, g06, g07, g08, g10, g11, g12Ordinary goods less durable manufacturing - those ordinary goods consumed directly
notUSAROWRest of world
origUSA, ROWalias for regions
ownerUSA, ROWowner of assets ASSE
region_USAUSAUnited States
regionsUSA, ROWcountries and regions
sec_eda01electricity distribution sector
sec_stda02, a03, a04, a05, a06, a07, a08, a09, a10, a11, a12, a13, a14, a15, a16, a17, a18, a19, a20sectors with standard treatment
sector_coala04coal mining sector
sector_coal_generationa13coal electricity generation sector
sector_constructiona06construction sector
sector_durable_manufacturinga09durable manufacturing sector
sector_gasa02gas extraction and utilities sector
sector_gas_generationa14gas electricity generation sector
sector_hydro_generationa19hydro electricity generation sector
sector_nondurable_manufacturinga10non-durable manufacturing sector
sector_nuclear_generationa16nuclear electricity generation sector
sector_oila05crude oil extraction sector
sector_oil_generationa15oil electricity generation sector
sector_oil_refininga03liquid fossil fuel refining sector
sector_other_agriculturea08agriculture, forestry, fishing and hunting sector
sector_other_generationa20other electricity generation sector
sector_other_mininga07other mining sector
sector_servicesa12services sector
sector_solar_generationa18solar electricity generation sector
sector_transportationa11transportation sector
sector_wind_generationa17wind electricity generation sector
sector_YYYYindustrial capital sector
sector_ZZZZhousehold capital sector
sectorsa01, a02, a03, a04, a05, a06, a07, a08, a09, a10, a11, a12, a13, a14, a15, a16, a17, a18, a19, a20sectors other than the capital-production sectors Y - for firms, and Z - for households
sectors_ea01, a02, a03, a04, a05energy sectors
sectors_ga13, a14, a15, a16, a17, a18, a19, a20electricity generation sectors
sectors_ma06, a07, a08, a09, a10, a11, a12material sectors
sectors_na06, a07, a08, a09, a10, a11, a12, a13, a14, a15, a16, a17, a18, a19, a20Non-energy sectors
sectors_oa01, a02, a03, a04, a05, a06, a07, a08, a09, a10, a11, a12non electricity generation sectors
sectors_osa02, a03, a04, a05, a06, a07, a08, a09, a10, a11, a12Non electricity generation or distribution sectors
timet0Obsolete time set
varfacL, E, Mvariable factors
Variables:
NameDomainDescriptionUnitsLHSRHS
ABUYownernew purchases of foreign assetsend,gdp108109
ASSEcurrency, ownerassets in each currency, including ownsta,usgdp109109, 110, 71, 72
ASSUregionsassets held by region, in US$end,gdp11092
BCTgoods_o, dest, origunit border tax adjustmentdollar,exonone26, 7
BONDregionsbondsgdp,sta129129, 130, 132, 133, 69, 92
CAPsec_std, regionscapital stockgdp,sta3933, 39, 42, 43, 48, 61
CAPYregionsraw invt capital stockgdp,sta4034, 40, 44, 46, 49, 92
CAPZregionshousehold capital stockgdp,sta4135, 41, 45, 47, 50, 92
CNPEregionshousehold demand for energyend,gdp74135, 59
CNPKregionshousehold capital servicesend,gdp76none
CNPLregionshousehold demand for laborend,gdp73128, 23, 59, 69, 93
CNPOregionshousehold demand for materialend,gdp75136, 59
CONgoods_oc, regionshousehold demand for goodsend,gdp135, 1362, 3, 77
CONPregionsnational accounts consumptionend,gdp70116, 117, 35, 59, 73, 74, 75, 76, 86, 87
CTAVsec_std, goods_e, regionsad valorem sector input taxexo,pctnone134
CTAVSregionsshadow ad valorem sector input taxexo,pctnone134
CTFDAVgoods_e, regionsad valorem final demand taxexo,pctnone135, 141
CURNregionsdomestic currency current account using nominal interest paymentsend,gdp9095, 96
CURRregionsUSD current account using real interest paymentsend,gdp91108, 109, 94
DEFIregionsfiscal deficit (real interest rates)end,gdp132129, 133, 94
DEFNregionsfiscal deficit (nominal interest rates)end,gdp13395
DEFXregionsfiscal deficit shocks (real interest rates)exo,gdpnonenone
ELEgoods_g, regionsdemand for G goodsend,gdp147145
EMCOregionsCO2 emissionsend,mmtgdp101none
EMCO2sec_std, regionsCO2 emissions by sectorend,mmtgdp99101
EMCO2FDregionsCO2 emissions final Demandend,mmtgdp100101
ENsec_std, goods_e, regionssector demand for energy goodsend,gdp1372, 99
ENTsec_std, regionssector demand for energyend,gdp16137, 57
EPRCregionsexpected consumer price inflation rateend,intertemporal_constant,pct112118
EXCHregionsexch rate as US$ per unit of region currencyidx,logged,stl1, 102103, 106, 118, 6
EXCLregionsexch rate as US$ per unit of region currency - laggedidx,lagged,logged,sta103118
EXCRregionscountry risk premium relative to USexo,pctnone104
EXCXregionsexchange rate target percentage changeexo,pctnone118
EXQgoods_o, regionsexports, EXP.xxend,gdp1110, 127, 144, 2, 3, 4
EXQTregionsvalue of exports at sourceend,gdp1097
EYGRregionsexpected output growthend,intertemporal_constant,pct111118
FDENgoods_e, regionsfinal demand for energy goodsend,gdp77100
GCEgoods_o, regionsgovernment purchases of goods and servicesend,gdp120, 121122, 2, 3, 4
GCETregionsnational accounts government spending excluding laborend,gdp122116, 117, 123, 86, 87
GDPNregionsGDP, nominalend,gdp86118, 88
GDPRregionsGDP, realend,gdp8788, 89
GNENregionsGNE, nominalend,gdp116118
GNERregionsGNE, realend,gdp117none
GNPRregionsgross national productend,gdp89none
GOVLregionslabor used by governmentexo,gdpnone123, 128, 23, 69, 93
GOVSregionsgovernment spending excluding laborexo,gdpnone120, 121
GOVTregionsnational accounts government spending including laborend,gdp123132
IINgoods_o, regionsraw capital sector demand for goodsend,gdp21, 222, 3, 4
IITEregionsraw capital sector demand for energyend,gdp1921, 58
IITLregionsraw capital sector demand for laborend,gdp18128, 23, 58, 69, 93
IITOregionsraw capital sector demand for materialend,gdp2022, 58
IMPgoods_o, dest, origindividual imports, IMP.xyend,exclude_dest_equals_orig,gdp711, 125, 8
IMPXgoods_o, dest, origindividual imports shift exo,gdpnone7
IMQgoods_o, regionsDF imports by good, IMQ.xxend,gdp5144, 7, 8, 9
IMQTregionsvalue of imports at destinationend,gdp997
INASregionsnominal USD net interest payments on foreign assetsend,gdp7290
INCMregionsafter tax household incomeend,gdp6970
INFCLregionshousehold materials inflation rateend,pct115118
INFLregionsconsumer price inflationend,pct113118
INFPregionsoutput price inflationend,pct83118
INFXregionsinflation targetexo,pctnone118
INSregions, goods_oshocks to aggregate investment demandexo,gdpnone116, 117, 2, 3, 4, 86, 87
INTFregionsrisk free interest rate, short-run, realend,pct8182
INTLregionsinterest rate, short-run, nominal (lagged)pct,sta119118
INTNregionsinterest rate, short (policy), nominalpct,stl118119, 133, 72, 80, 81
INTRregionsrisk adjusted interest rate, short-run, realend,pct82104, 130, 132, 133, 48, 49, 50, 69, 71, 93
INVsec_std, regionsraw investmentend,gdp42144, 43, 57, 63
INVPregionstotal investment by standard sectorsend,gdp6364
INVTregionstotal investment including by householdsend,gdp64116, 117, 18, 19, 20, 34, 58, 86, 87, 94, 95, 96
INVYregionsraw investmentend,gdp4458, 64
INVZregionshousehold investmentend,gdp45128, 59, 64
IRASregionsreal USD net interest payments on foreign assetsend,gdp7169, 89, 91
JNVsec_std, regionsinstalled investmentend,gdp4339, 48
JNVYregionsinstalled investment in the raw capital sectorend,gdp4640, 44, 49
JNVZregionsinstalled household investmentend,gdp4741, 45, 50
LABsec_std, regionssector demand for laborend,gdp15128, 23, 57, 69, 93
LABOregionslabor demandend,gdp2336
LABXregionslabor supplyexo,gdpnone36
LAMsec_std, regionsmarginal value of a unit of capitalcos,intertemporal_constant,pct4848, 51, 61
LAMYregionsmarginal value of a unit of capital in the raw capital sectorcos,pct4949, 52, 92
LAMZregionsmarginal value of a unit of household capitalcos,pct5050, 53, 92
LGDPNregionsGDP, nominalexo,nomusdbillionnonenone
LGDPRregionsGDP, realexo,realusdbillionnonenone
MONEregionsmoney demandend,idx,logged8092
NB02regionsinterest rate, 2-year, nominalend,pctnonenone
NB05regionsinterest rate, 5-year, nominalend,pctnonenone
NB10regionsinterest rate, 10-year, nominalend,pctnonenone
NEERregionstrade-weighted exchange rate, FC/domesticend,idx,logged106none
OIsec_std, goods_m, regionssector demand for material goodsend,gdp1383, 4
OINsec_std, regionssector demand for materialsend,gdp17138, 57
OUGgoods, regionsdomestic supply of goodsend,gdp13, 14614, 144, 67
OUPsectors, regionsdomestic productionend,gdp14147, 15, 16, 17, 33, 57
OUTLregionsaggregate output (lagged)gdp,lagged,sta68118
OUTPregionsaggregate outputets,gdp67111, 118, 124, 68, 80
OUTXregionsshock to output targetexo,pctnonenone
OUYgoods, regionscomposite supplyend,gdp145, 2, 3, 413, 146, 5
PBAGregionsUSD value of permits sold through governmentexo,gdpnone129
PBALregionsvalue of permits sold, USDexo,gdpnone89, 90, 91
PEDregionsPrice of GWh before CECsend,idx,logged149150
PGDPregionsGDP implicit price deflatorend,idx,logged88none
PIMgoods_o, dest, origlanded price of importsend,idx,logged6125, 26, 7, 8
PMQgoods_o, regionsimport landed price indexend,idx,logged827, 9
PMRgoods_o, regionsprice of imports incl tariffsend,idx,logged26144, 24, 5, 7
POIsec_std, regionssector price of materialsend,idx,logged140138, 17, 31, 57
PRCEregionshousehold price of energyend,idx,logged141135, 59, 74, 78
PRCLregionsaggregate price of consumer goods laggedidx,lagged,logged,sta84113, 36
PRCOregionshousehold price of materialend,idx,logged142114, 115, 136, 59, 75, 78
PRCOLregionshousehold price of material - laggedidx,lagged,logged,sta114115
PRCTregionsaggregate price of consumer goodsets,idx,logged78112, 113, 116, 118, 35, 36, 59, 70, 73, 74, 75, 76, 84, 86
PRDgoods, regionspost-tax price of goodsend,idx,logged3013, 144, 148, 24, 65, 67
PRDLregionsweighted price of domestic output lagidx,lagged,logged,sta8583
PRDXregionsshock to weighted price of domestic outputexo,pctnonenone
PREsec_std, regionssector price of energyend,idx,logged139137, 16, 31, 57
PRFsec_std, regionsshort run profitsend,gdp57144, 60
PRFTregionstotal economywide profitsend,gdp6069
PRFYregionsprofits on raw capital sectorend,gdp58144, 60
PRFZregionsimputed short run profits on household capitalend,gdp5969
PRGTregionsaggregate price of government goodsend,idx,logged79120, 121, 122, 86
PRIDregionsweighted price of domestic outputets,idx,logged65102, 116, 118, 123, 125, 127, 128, 144, 48, 49, 50, 51, 52, 53, 57, 58, 59, 67, 69, 70, 80, 81, 83, 85, 86, 92, 93, 94, 95, 96
PRIEregionsraw capital sector price of energyend,idx,logged2819, 21, 32, 58
PRIIregionsprice paid by producers for raw capitalend,idx,logged32116, 128, 144, 18, 19, 20, 34, 48, 49, 50, 51, 52, 53, 57, 58, 59, 86, 94, 95, 96
PRIMregionsweighted price of importsend,idx,logged279
PRIXregionsweighted price of exportsend,idx,logged6610
PRKsec_std, regionsimplicit rental priceend,idx,logged3331, 48
PRKYregionsimplicit raw capital sector rental priceend,idx,logged3432, 49
PRKZregionsimplicit household rental priceend,idx,logged3550, 76, 78
PROIregionsraw capital sector price of materialend,idx,logged2920, 22, 32, 58
PRPsectors, regionspre-tax producer priceend,idx,logged150, 31147, 15, 16, 17, 30, 33, 57
PRSgoods, regionsproducer price of compositeend,idx,logged148, 2412, 127, 13, 134, 144, 25, 5
PRTsec_std, goods_e, regionssector-specific input priceend,idx,logged134137, 139
PRXgoods_o, regionsprice of exports at sourceend,idx,logged1210, 6, 66
PRXXregionsshock to expected price of consumer goodsexo,pctnone36
PRYgoods, regionspurchase price of compositeend,idx,logged25120, 121, 122, 135, 136, 138, 140, 141, 142, 147, 149, 21, 22, 28, 29, 79
PTARregionsprice level targetexo,idx,loggednone118
RB10regionsinterest rate, 10-year, realend,pctnonenone
REERregionstrade-weighted real exch rate, FC/domesticend,idx,logged107none
REXCregionsreal exchange rate as US$ per unit of region currencycos,idx,intertemporal_constant,logged104104, 105
REXNregionsreal exchange rate with capital controlsend,idx,logged105102, 107, 109, 110, 69, 71, 72, 89, 90, 92, 94, 98
RISEsec_std, regionsequity risk premium by sector and regiondel,exonone48
RISHregionsrisk premium shock for human wealthdel,exonone93
RISRregionsrisk premium in the yield curvedel,exonone82
RISWregionsrisk premium for human wealthdel,exonone70, 93
RISYregionsrisk premium for raw-capital sector capitaldel,exonone49
RISZregionsrisk premium for household capitaldel,exonone50
ROGYregionspotential output growth targetexo,pctnone118
RVCTAVregionsrevenue from ad-valorem input and final demand taxesexo,gdpnone143
RVGSregionsrevenue from unit taxesexo,gdpnone143
SAVIregionsreal domestic saving using real interest ratesend,gdp94none
SAVNregionsreal domestic saving using nominal interest ratesend,gdp95none
SAVTregionsdomestic non-government saving using nominal interest ratesend,gdp96none
SCONregionsnominal shadow tax on CO2.dollar,exonone134, 135, 141
SHEFsec_std, regionsautonomous energy efficiency improvementsexo,pctnone16, 31
SHEFCregionsconsumption autonomous energy efficiency improvementsexo,pctnone74, 78
SHKsec_std, regionsshock to capital efficiencyexo,pctnone31, 33
SHKCregionsshock to aggregate consumptionexo,gdpnone70
SHKIregions, sec_stdshock to inv equationexo,gdpnone42
SHKMregionsshock to money demandexo,pctnone80
SHLregions, sec_stdshock to labor due to labor-augmenting technical change and/or population growthexo,pctnone15, 31
SHLYregionsshock to raw capital sector labor due to labor-augmenting technical change and/or population growthexo,pctnone18, 32
SHLZregionsshock to household capital sector labor due to labor-augmenting technical change and/or population growthexo,pctnone73, 78
SHYsectors, regionsshock to total factor productivityexo,pctnone147, 149, 15, 16, 17, 31, 33
SHYYregionsshock to raw capital sector total factor productivityexo,pctnone18, 19, 20, 32, 34
SHYZregionsshock to household capital sector total factor productivityexo,pctnone35, 73, 74, 75, 76, 78
STMsec_std, regionsstock market valueend,gdp6162, 92
STMTregionstotal stock market valueend,gdp62none
TAXgoods, regionssales tax on compositeexo,pctnone134, 144, 25
TAXCregionsrevenue from sales and company taxesend,gdp144131
TAXEregionsrevenue from externality taxesend,gdp143131
TAXHregionsrevenue from taxes on wagesend,gdp128131, 93
TAXLregionsrevenue from lump-sum taxesend,gdp130131, 69, 93
TAXMregionstariff revenueend,gdp126131
TAXSregionsexogenous lump sum taxexo,gdpnone130
TAXTregionstotal revenueend,gdp131132
TAXXregionsexternal tax revenueend,gdp127131
TBALregionstrade surplus, domestic currencyend,gdp97118, 86, 87, 90, 98
TBAUregionstrade surplus, USDend,gdp9891
TCORregionstax rate on corporate profitsexo,pctnone144, 48, 49, 69
TCPSsec_std, goods_e, regionsnominal sector tax on CO2dollar,exonone134
TCPSFDgoods_e, regionsnominal final demand tax on CO2dollar,exonone135, 141
TEXgoods, regionsextern tax on compositeexo,pctnone12, 127
TIFgoods_o, destfta tariff ratesexo,pctnone125, 26, 7
TIMgoods_o, dest, origmultilateral tariff ratesexo,pctnone125, 26, 7
TINCregionstax rate on labor incomeexo,pctnone128, 69
TITCsec_std, regionsinvestment tax credit rateexo,pctnone144, 48, 51, 57, 61
TITCHregionshouseholds investment tax credit rateexo,pctnone128, 50, 53, 59
TIXgoods_o, destmultilateral iceberg costsexo,pctnone26, 7
TOBsec_std, regionsmarginal q, TOB.NCend,pct5142, 54
TOBYregionsmarginal Q, raw capital sectorend,pct5246, 55
TOBZregionsmarginal Q, householdsend,pct5347, 56
TPAsec_std, regionspartial adjustment qpct,sta5442, 54
TPAYregionspartial adjustment Q, raw capital sectorpct,sta5546, 55
TPAZregionspartial adjustment Q, householdspct,sta5647, 56
TRANregionstotal transfersend,gdp124132, 69, 93
TRANXregionsexogenous transfersexo,gdpnone124
TXGSsec_std, goods_e, regionsunit tax on goods to sectorsdollar,exonone134
TXMgoods_o, desttariff revenue by goodend,gdp125126
WAGsec_std, regionssector wageend,idx,logged38128, 15, 31, 57, 69, 93
WAGEregionswage rateidx,intertemporal_constant,logged,sta36118, 128, 18, 32, 36, 37, 38, 58, 59, 69, 73, 78, 93
WAGGregionsgovernment wageend,idx,logged37123, 128, 69, 93
WELHregionshuman wealthcos,gdp,intertemporal_constant9392, 93
WELTregionstotal wealthend,gdp9270
YRATNregionsGDP ratio, nominalexo,pctnonenone
Parameters:
NameDomainDescription
adaptregionsrate of closure TOB-TPA gap
aeyecurrency, owneridentity matrix
ainvowner, abroadinverse of I-ashr
ashrcurrency, ownerasset split among currencies
base_jksec_std, regionsbase J/K
c_scalarregionsscalar term for carbon tax
cd_dfgoods_o, regions1 if Cobb-Douglas, 0 if CES
cd_esectors, regions1 if cd, 0 if ces
cd_edregions1 if cd, 0 if ces
cd_eHregions1 if cd, 0 if ces
cd_eRregions1 if cd, 0 if ces
cd_ffgoods_o, dest1 if cd, 0 if ces
cd_msectors, regions1 if cd, 0 if ces
cd_mHregions1 if cd, 0 if ces
cd_mRregions1 if cd, 0 if ces
cd_osectors, regions1 if cd, 0 if ces
cd_oHregions1 if cd, 0 if ces
cd_oRregions1 if cd, 0 if ces
co2coefsec_std, goods_e, regionsemissions coefficients, co2 on inputs
co2coefFDgoods_e, regionsemissions coefficients, co2 on final demand
deltaregionsdepreciation rate
delta_domgoods_o, regionsdomestic weight in CES function combining domestic and foreign sources
delta_eregions, sec_std, goods_einput weights, individ goods
delta_edregions, goods_ginput weights, individ goods
delta_eGgoods_e, regionsgov budget shares on energy goods
delta_eHgoods_e, regionsinput weights, individ goods
delta_eRgoods_e, regionsinput weights on individual energy goods
delta_ffgoods_o, dest, origforeign source weights in FF
delta_mregions, sec_std, goods_minput weights, individ goods
delta_mGgoods_m, regionsgov budget shares on materials goods
delta_mHgoods_m, regionsinput weights, individ goods
delta_mRgoods_m, regionsinput weights on individual materials goods
delta_ofactors, sec_std, regionsinput weights, KLEM tier
delta_oGfactors, regionsgov KLEM budget shares
delta_oHfactors, regionsinput weights, KLEM tier
delta_oRfactors, regionsinput weights, KLEM tier
eer_weightdest, origtrade weights, NEER and REER
fore_cregionsshr of C driven by foresight
fore_i_yregionsshr of I driven by foresight in capital sector
fore_i_zregionsshr of I driven by foresight in household capital
foreisec_std, regionsshr of I driven by foresight std sector
FTAdest, origfree trade area tariff flag
int_elastregionsinterest elasticity of money demand
labgrowregionsgrowth of effective labor
makeinvgoods, sectors, regionsinverse of make table
mongdpregionscoefficient on MONE in WELT
mpcregionsmarginal propensity to consume
mrule_1regionsweight on CPI inflation in monetary rule
mrule_10regionsweight on nominal GDP in monetary rule
mrule_11regionsweight on nominal gross output in monetary rule
mrule_12regionsweight on nominal gross output net of trade in monetary rule
mrule_13regionsweight on expected CPI inflation in monetary rule
mrule_14regionsweight on expected real output growth in monetary rule
mrule_15regionsweight on nominal GNE in monetary rule
mrule_2regionsweight on PPI inflation in monetary rule
mrule_3regionsweight on Core inflation in monetary rule
mrule_4regionsweight on CPI level in monetary rule
mrule_5regionsweight on PPI level in monetary rule
mrule_6regionsweight on wage in monetary rule
mrule_7regionsweight on wage growth in monetary rule
mrule_8regionsweight on real output growth in monetary rule
mrule_9regionsweight on nominal gross output growth in monetary rule
mrule_exregionsweight on exchange rate in monetary rule
mrule_rregionsweight on lag interest rate in monetary rule
MULdest, origmultilateral tariff flag
phisec_std, regionsadjustment cost parameter std sector
phi_yregionsadjustment cost parameter capital sector
phi_zregionsadjustment cost parameter household capital
prid_weightgoods, regionsweights in PRID
prim_weightgoods_o, regionsweights in PRIM
prix_weightgoods_o, regionsweights in PRIX
sigma_dfgoods_o, regionselasticity of substitution between domestic and foreign sources
sigma_esectors, regionssubs elast, E tier
sigma_edregionssubs elast, G tier
sigma_eHregionssubs elast, E tier
sigma_eRregionssubs elast, E tier
sigma_ffgoods_o, destsubs elast between F sources
sigma_msectors, regionssubs elast, M tier
sigma_mHregionssubs elast, M tier
sigma_mRregionssubs elast, M tier
sigma_osectors, regionssubs elast, KLEM tier
sigma_oHregionssubs elast, KLEM tier
sigma_oRregionssubs elast, KLEM tier
timeprefregionstime preference rate
transgdpregionstransfers per unit of GDP
wage_pregionsexp infl weight in wage equation
wage_qregionsemployment parameter in wage equation
Equations:
Equation 1: EXCH
\[ \href{#EXCH}{EXCH(\text{USA})} = 0 \]
Equation 2: OUY
For g21 in goods_e, r1 in regions (10 total):
\[ \href{#OUY}{OUY(g21,r1)} = \href{#CON}{CON(g21,r1)}+\href{#IIN}{IIN(g21,r1)} +\href{#INS}{INS(r1,g21)} +\href{#GCE}{GCE(g21,r1)} +\href{#EXQ}{EXQ(g21,r1)} +\sum_{s1 \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(\href{#EN}{EN(s1,g21,r1)}\right) } \]
Equation 3: OUY
For g24 in goods_mc, r1 in regions (12 total):
\[ \href{#OUY}{OUY(g24,r1)} = \href{#CON}{CON(g24,r1)}+\href{#IIN}{IIN(g24,r1)} +\href{#INS}{INS(r1,g24)} +\href{#GCE}{GCE(g24,r1)} +\href{#EXQ}{EXQ(g24,r1)} +\sum_{s1 \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(\href{#OI}{OI(s1,g24,r1)}\right) } \]
Equation 4: OUY
For g3 in good_durable_manufacturing, r1 in regions (2 total):
\[ \href{#OUY}{OUY(g3,r1)} = \href{#IIN}{IIN(g3,r1)}+\href{#INS}{INS(r1,g3)} +\href{#GCE}{GCE(g3,r1)} +\href{#EXQ}{EXQ(g3,r1)} +\sum_{s1 \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(\href{#OI}{OI(s1,g3,r1)}\right) } \]
Equation 5: IMQ
For g26 in goods_o, r1 in regions (24 total):
\[ \href{#IMQ}{IMQ(g26,r1)} = {(1-\href{#delta_dom}{delta\_dom(g26,r1)})} *\href{#OUY}{OUY(g26,r1)} *exp{ \left( \href{#PRS}{PRS(g26,r1)}-\href{#PMR}{PMR(g26,r1)}\right) } ^\href{#sigma_df}{sigma\_df(g26,r1)} \]
Equation 6: PIM
For d in dest, g26 in goods_o, o in orig (48 total):
\[ \href{#PIM}{PIM(g26,d,o)} = \href{#EXCH}{EXCH(o)}+\href{#PRX}{PRX(g26,o)} -\href{#EXCH}{EXCH(d)} \]
Equation 7: IMP
For d in dest, g26 in goods_o, o in orig (48 total):
\[ \href{#IMP}{IMP(g26,d,o)} = \href{#delta_ff}{delta\_ff(g26,d,o)}*\href{#IMQ}{IMQ(g26,d)} *{(\href{#BCT}{BCT(g26,d,o)} +{(1 +{(\href{#TIM}{TIM(g26,d,o)}+\href{#TIX}{TIX(g26,d)})} *\href{#MUL}{MUL(d,o)} +\href{#TIF}{TIF(g26,d)}*\href{#FTA}{FTA(d,o)})} *exp{ \left( \href{#PIM}{PIM(g26,d,o)}-\href{#PMR}{PMR(g26,d)}\right) })} ^{(-\href{#sigma_ff}{sigma\_ff(g26,d)})} +\href{#IMPX}{IMPX(g26,d,o)} \]
Equation 8: PMQ
For d in dest, g26 in goods_o (24 total):
\[ \href{#PMQ}{PMQ(g26,d)} = ln{ \left( \frac{\sum_{o \; \text{in} \; \href{#orig}{orig}} { \left(\href{#IMP}{IMP(g26,d,o)} *exp{ \left(\href{#PIM}{PIM(g26,d,o)}\right) }\right) }}{\href{#IMQ}{IMQ(g26,d)}}\right) } \]
Equation 9: IMQT
For r1 in regions (2 total):
\[ \href{#IMQT}{IMQT(r1)} = \frac{\sum_{g26 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(exp{ \left(\href{#PMQ}{PMQ(g26,r1)}\right) } *\href{#IMQ}{IMQ(g26,r1)}\right) }}{exp{ \left(\href{#PRIM}{PRIM(r1)}\right) }} \]
Equation 10: EXQT
For r1 in regions (2 total):
\[ \href{#EXQT}{EXQT(r1)} = \frac{\sum_{g26 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(exp{ \left(\href{#PRX}{PRX(g26,r1)}\right) } *\href{#EXQ}{EXQ(g26,r1)}\right) }}{exp{ \left(\href{#PRIX}{PRIX(r1)}\right) }} \]
Equation 11: EXQ
For g26 in goods_o, o in orig (24 total):
\[ \href{#EXQ}{EXQ(g26,o)} = \sum_{d \; \text{in} \; \href{#dest}{dest}} { \left(\href{#IMP}{IMP(g26,d,o)}\right) } \]
Equation 12: PRX
For g26 in goods_o, r1 in regions (24 total):
\[ \href{#PRX}{PRX(g26,r1)} = ln{ \left( {(1+\href{#TEX}{TEX(g26,r1)})} *exp{ \left(\href{#PRS}{PRS(g26,r1)}\right) }\right) } \]
Equation 13: OUG
For g26 in goods_o, r1 in regions (24 total):
\[ \href{#OUG}{OUG(g26,r1)} = \href{#delta_dom}{delta\_dom(g26,r1)}*\href{#OUY}{OUY(g26,r1)} *exp{ \left( \href{#PRS}{PRS(g26,r1)}-\href{#PRD}{PRD(g26,r1)}\right) } ^\href{#sigma_df}{sigma\_df(g26,r1)} \]
Equation 14: OUP
For r1 in regions, s23 in sectors (40 total):
\[ \href{#OUP}{OUP(s23,r1)} = \sum_{g20 \; \text{in} \; \href{#goods}{goods}} { \left(\href{#makeinv}{makeinv(g20,s23,r1)}*\href{#OUG}{OUG(g20,r1)}\right) } \]
Equation 15: LAB
For r1 in regions, s1 in sec_std (38 total):
\[ \href{#LAB}{LAB(s1,r1)} = exp{ \left( \href{#SHL}{SHL(r1,s1)}+\href{#SHY}{SHY(s1,r1)}\right) } ^{(\href{#sigma_o}{sigma\_o(s1,r1)}-1)} *\href{#delta_o}{delta\_o(\text{l},s1,r1)} *\href{#OUP}{OUP(s1,r1)} *exp{ \left( \href{#PRP}{PRP(s1,r1)}-\href{#WAG}{WAG(s1,r1)}\right) } ^\href{#sigma_o}{sigma\_o(s1,r1)} \]
Equation 16: ENT
For r1 in regions, s1 in sec_std (38 total):
\[ \href{#ENT}{ENT(s1,r1)} = exp{ \left( \href{#SHEF}{SHEF(s1,r1)}+\href{#SHY}{SHY(s1,r1)}\right) } ^{(\href{#sigma_o}{sigma\_o(s1,r1)}-1)} *\href{#delta_o}{delta\_o(\text{e},s1,r1)} *\href{#OUP}{OUP(s1,r1)} *exp{ \left( \href{#PRP}{PRP(s1,r1)}-\href{#PRE}{PRE(s1,r1)}\right) } ^\href{#sigma_o}{sigma\_o(s1,r1)} \]
Equation 17: OIN
For r1 in regions, s1 in sec_std (38 total):
\[ \href{#OIN}{OIN(s1,r1)} = exp{ \left(\href{#SHY}{SHY(s1,r1)}\right) } ^{(\href{#sigma_o}{sigma\_o(s1,r1)}-1)} *\href{#delta_o}{delta\_o(\text{m},s1,r1)} *\href{#OUP}{OUP(s1,r1)} *exp{ \left( \href{#PRP}{PRP(s1,r1)}-\href{#POI}{POI(s1,r1)}\right) } ^\href{#sigma_o}{sigma\_o(s1,r1)} \]
Equation 18: IITL
For r1 in regions (2 total):
\[ \href{#IITL}{IITL(r1)} = exp{ \left( \href{#SHLY}{SHLY(r1)}+\href{#SHYY}{SHYY(r1)}\right) } ^{(\href{#sigma_oR}{sigma\_oR(r1)}-1)} *\href{#delta_oR}{delta\_oR(\text{l},r1)} *\href{#INVT}{INVT(r1)} *exp{ \left( \href{#PRII}{PRII(r1)}-\href{#WAGE}{WAGE(r1)}\right) } ^\href{#sigma_oR}{sigma\_oR(r1)} \]
Equation 19: IITE
For r1 in regions (2 total):
\[ \href{#IITE}{IITE(r1)} = exp{ \left(\href{#SHYY}{SHYY(r1)}\right) } ^{(\href{#sigma_oR}{sigma\_oR(r1)}-1)} *\href{#delta_oR}{delta\_oR(\text{e},r1)} *\href{#INVT}{INVT(r1)} *exp{ \left( \href{#PRII}{PRII(r1)}-\href{#PRIE}{PRIE(r1)}\right) } ^\href{#sigma_oR}{sigma\_oR(r1)} \]
Equation 20: IITO
For r1 in regions (2 total):
\[ \href{#IITO}{IITO(r1)} = exp{ \left(\href{#SHYY}{SHYY(r1)}\right) } ^{(\href{#sigma_oR}{sigma\_oR(r1)}-1)} *\href{#delta_oR}{delta\_oR(\text{m},r1)} *\href{#INVT}{INVT(r1)} *exp{ \left( \href{#PRII}{PRII(r1)}-\href{#PROI}{PROI(r1)}\right) } ^\href{#sigma_oR}{sigma\_oR(r1)} \]
Equation 21: IIN
For g21 in goods_e, r1 in regions (10 total):
\[ \href{#IIN}{IIN(g21,r1)} = \href{#delta_eR}{delta\_eR(g21,r1)}*\href{#IITE}{IITE(r1)} *exp{ \left( \href{#PRIE}{PRIE(r1)}-\href{#PRY}{PRY(g21,r1)}\right) } ^\href{#sigma_eR}{sigma\_eR(r1)} \]
Equation 22: IIN
For g23 in goods_m, r1 in regions (14 total):
\[ \href{#IIN}{IIN(g23,r1)} = \href{#delta_mR}{delta\_mR(g23,r1)}*\href{#IITO}{IITO(r1)} *exp{ \left( \href{#PROI}{PROI(r1)}-\href{#PRY}{PRY(g23,r1)}\right) } ^\href{#sigma_mR}{sigma\_mR(r1)} \]
Equation 23: LABO
For r1 in regions (2 total):
\[ \href{#LABO}{LABO(r1)} = \href{#IITL}{IITL(r1)}+\href{#CNPL}{CNPL(r1)} +\href{#GOVL}{GOVL(r1)} +\sum_{s1 \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(\href{#LAB}{LAB(s1,r1)}\right) } \]
Equation 24: PRS
For g26 in goods_o, r1 in regions (24 total):
\[ \href{#PRS}{PRS(g26,r1)} = \href{#cd_df}{cd\_df(g26,r1)} *{(\href{#delta_dom}{delta\_dom(g26,r1)}*\href{#PRD}{PRD(g26,r1)} +{(1-\href{#delta_dom}{delta\_dom(g26,r1)})} *\href{#PMR}{PMR(g26,r1)})} +\frac{{({(1-\href{#cd_df}{cd\_df(g26,r1)})} *ln{ \left( \href{#delta_dom}{delta\_dom(g26,r1)} *exp{ \left(\href{#PRD}{PRD(g26,r1)}\right) } ^{(1-\href{#sigma_df}{sigma\_df(g26,r1)})} +{(1-\href{#delta_dom}{delta\_dom(g26,r1)})} *exp{ \left(\href{#PMR}{PMR(g26,r1)}\right) } ^{(1-\href{#sigma_df}{sigma\_df(g26,r1)})}\right) })}}{{(1 -\href{#sigma_df}{sigma\_df(g26,r1)}*{(1-\href{#cd_df}{cd\_df(g26,r1)})})}} \]
Equation 25: PRY
For g20 in goods, r1 in regions (40 total):
\[ \href{#PRY}{PRY(g20,r1)} = ln{ \left(1+\href{#TAX}{TAX(g20,r1)}\right) } +\href{#PRS}{PRS(g20,r1)} \]
Equation 26: PMR
For d in dest, g26 in goods_o (24 total):
\[ \href{#PMR}{PMR(g26,d)} = 0.0 +\href{#cd_ff}{cd\_ff(g26,d)} *\sum_{o \; \text{in} \; \href{#orig}{orig}} { \left(\href{#delta_ff}{delta\_ff(g26,d,o)} *ln{ \left( \href{#BCT}{BCT(g26,d,o)} +{(1 +{(\href{#TIM}{TIM(g26,d,o)}+\href{#TIX}{TIX(g26,d)})} *\href{#MUL}{MUL(d,o)} +\href{#TIF}{TIF(g26,d)}*\href{#FTA}{FTA(d,o)})} *exp{ \left(\href{#PIM}{PIM(g26,d,o)}\right) }\right) }\right) } +\frac{{({(1-\href{#cd_ff}{cd\_ff(g26,d)})} *ln{ \left( \sum_{o \; \text{in} \; \href{#orig}{orig}} { \left(\href{#delta_ff}{delta\_ff(g26,d,o)} *{(\href{#BCT}{BCT(g26,d,o)} +{(1 +{(\href{#TIM}{TIM(g26,d,o)}+\href{#TIX}{TIX(g26,d)})} *\href{#MUL}{MUL(d,o)} +\href{#TIF}{TIF(g26,d)}*\href{#FTA}{FTA(d,o)})} *exp{ \left(\href{#PIM}{PIM(g26,d,o)}\right) })} ^{(1-\href{#sigma_ff}{sigma\_ff(g26,d)})}\right) }\right) })}}{{(1 -\href{#sigma_ff}{sigma\_ff(g26,d)}*{(1-\href{#cd_ff}{cd\_ff(g26,d)})})}} \]
Equation 27: PRIM
For r1 in regions (2 total):
\[ \href{#PRIM}{PRIM(r1)} = \sum_{g26 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(\href{#prim_weight}{prim\_weight(g26,r1)} *\href{#PMQ}{PMQ(g26,r1)}\right) } \]
Equation 28: PRIE
For r1 in regions (2 total):
\[ \href{#PRIE}{PRIE(r1)} = \href{#cd_eR}{cd\_eR(r1)} *\sum_{g21 \; \text{in} \; \href{#goods_e}{goods\_e}} { \left(\href{#delta_eR}{delta\_eR(g21,r1)}*\href{#PRY}{PRY(g21,r1)}\right) } +\frac{{({(1-\href{#cd_eR}{cd\_eR(r1)})} *ln{ \left( \sum_{g21 \; \text{in} \; \href{#goods_e}{goods\_e}} { \left(\href{#delta_eR}{delta\_eR(g21,r1)} *exp{ \left(\href{#PRY}{PRY(g21,r1)}\right) } ^{(1-\href{#sigma_eR}{sigma\_eR(r1)})}\right) }\right) })}}{{(1 -\href{#sigma_eR}{sigma\_eR(r1)}*{(1-\href{#cd_eR}{cd\_eR(r1)})})}} \]
Equation 29: PROI
For r1 in regions (2 total):
\[ \href{#PROI}{PROI(r1)} = \href{#cd_mR}{cd\_mR(r1)} *\sum_{g23 \; \text{in} \; \href{#goods_m}{goods\_m}} { \left(\href{#delta_mR}{delta\_mR(g23,r1)}*\href{#PRY}{PRY(g23,r1)}\right) } +\frac{{({(1-\href{#cd_mR}{cd\_mR(r1)})} *ln{ \left( \sum_{g23 \; \text{in} \; \href{#goods_m}{goods\_m}} { \left(\href{#delta_mR}{delta\_mR(g23,r1)} *exp{ \left(\href{#PRY}{PRY(g23,r1)}\right) } ^{(1-\href{#sigma_mR}{sigma\_mR(r1)})}\right) }\right) })}}{{(1 -\href{#sigma_mR}{sigma\_mR(r1)}*{(1-\href{#cd_mR}{cd\_mR(r1)})})}} \]
Equation 30: PRD
For g20 in goods, r1 in regions (40 total):
\[ \href{#PRD}{PRD(g20,r1)} = ln{ \left( exp{ \left( \sum_{s23 \; \text{in} \; \href{#sectors}{sectors}} { \left(\href{#makeinv}{makeinv(g20,s23,r1)}*\href{#PRP}{PRP(s23,r1)}\right) }\right) }\right) } \]
Equation 31: PRP
For r1 in regions, s1 in sec_std (38 total):
\[ \href{#PRP}{PRP(s1,r1)} = \href{#cd_o}{cd\_o(s1,r1)} *{(\href{#delta_o}{delta\_o(\text{k},s1,r1)} *\href{#PRK}{PRK(s1,r1)} +\href{#delta_o}{delta\_o(\text{l},s1,r1)} *\href{#WAG}{WAG(s1,r1)} +\href{#delta_o}{delta\_o(\text{e},s1,r1)} *\href{#PRE}{PRE(s1,r1)} +\href{#delta_o}{delta\_o(\text{m},s1,r1)} *\href{#POI}{POI(s1,r1)} -\href{#delta_o}{delta\_o(\text{l},s1,r1)} *\href{#SHL}{SHL(r1,s1)} -\href{#delta_o}{delta\_o(\text{k},s1,r1)} *\href{#SHK}{SHK(s1,r1)} -\href{#delta_o}{delta\_o(\text{e},s1,r1)} *\href{#SHEF}{SHEF(s1,r1)})} +\frac{{({(1-\href{#cd_o}{cd\_o(s1,r1)})} *ln{ \left( \href{#delta_o}{delta\_o(\text{k},s1,r1)} *exp{ \left( \href{#PRK}{PRK(s1,r1)}-\href{#SHK}{SHK(s1,r1)}\right) } ^{(1-\href{#sigma_o}{sigma\_o(s1,r1)})} +\href{#delta_o}{delta\_o(\text{l},s1,r1)} *exp{ \left( \href{#WAG}{WAG(s1,r1)}-\href{#SHL}{SHL(r1,s1)}\right) } ^{(1-\href{#sigma_o}{sigma\_o(s1,r1)})} +\href{#delta_o}{delta\_o(\text{e},s1,r1)} *exp{ \left( \href{#PRE}{PRE(s1,r1)}-\href{#SHEF}{SHEF(s1,r1)}\right) } ^{(1-\href{#sigma_o}{sigma\_o(s1,r1)})} +\href{#delta_o}{delta\_o(\text{m},s1,r1)} *exp{ \left(\href{#POI}{POI(s1,r1)}\right) } ^{(1-\href{#sigma_o}{sigma\_o(s1,r1)})}\right) })}}{{(1 -\href{#sigma_o}{sigma\_o(s1,r1)}*{(1-\href{#cd_o}{cd\_o(s1,r1)})})}} -\href{#SHY}{SHY(s1,r1)} \]
Equation 32: PRII
For r1 in regions (2 total):
\[ \href{#PRII}{PRII(r1)} = \href{#cd_oR}{cd\_oR(r1)} *{(\href{#delta_oR}{delta\_oR(\text{k},r1)}*\href{#PRKY}{PRKY(r1)} +\href{#delta_oR}{delta\_oR(\text{l},r1)}*\href{#WAGE}{WAGE(r1)} +\href{#delta_oR}{delta\_oR(\text{e},r1)}*\href{#PRIE}{PRIE(r1)} +\href{#delta_oR}{delta\_oR(\text{m},r1)}*\href{#PROI}{PROI(r1)} -\href{#delta_oR}{delta\_oR(\text{l},r1)}*\href{#SHLY}{SHLY(r1)})} +\frac{{({(1-\href{#cd_oR}{cd\_oR(r1)})} *ln{ \left( \href{#delta_oR}{delta\_oR(\text{k},r1)} *exp{ \left(\href{#PRKY}{PRKY(r1)}\right) } ^{(1-\href{#sigma_oR}{sigma\_oR(r1)})} +\href{#delta_oR}{delta\_oR(\text{l},r1)} *exp{ \left( \href{#WAGE}{WAGE(r1)}-\href{#SHLY}{SHLY(r1)}\right) } ^{(1-\href{#sigma_oR}{sigma\_oR(r1)})} +\href{#delta_oR}{delta\_oR(\text{e},r1)} *exp{ \left(\href{#PRIE}{PRIE(r1)}\right) } ^{(1-\href{#sigma_oR}{sigma\_oR(r1)})} +\href{#delta_oR}{delta\_oR(\text{m},r1)} *exp{ \left(\href{#PROI}{PROI(r1)}\right) } ^{(1-\href{#sigma_oR}{sigma\_oR(r1)})}\right) })}}{{(1 -\href{#sigma_oR}{sigma\_oR(r1)}*{(1-\href{#cd_oR}{cd\_oR(r1)})})}} -\href{#SHYY}{SHYY(r1)} \]
Equation 33: PRK
For r1 in regions, s1 in sec_std (38 total):
\[ \href{#PRK}{PRK(s1,r1)} = \href{#PRP}{PRP(s1,r1)} +\frac{ln{ \left( \frac{{(\href{#delta_o}{delta\_o(\text{k},s1,r1)} *\href{#OUP}{OUP(s1,r1)})}}{\href{#CAP}{CAP(s1,r1)}}\right) }}{\href{#sigma_o}{sigma\_o(s1,r1)}} +\frac{{({(\href{#SHY}{SHY(s1,r1)}+\href{#SHK}{SHK(s1,r1)})} *{(\href{#sigma_o}{sigma\_o(s1,r1)}-1)})}}{\href{#sigma_o}{sigma\_o(s1,r1)}} \]
Equation 34: PRKY
For r1 in regions (2 total):
\[ \href{#PRKY}{PRKY(r1)} = \href{#PRII}{PRII(r1)} +\frac{ln{ \left( \frac{{(\href{#delta_oR}{delta\_oR(\text{k},r1)}*\href{#INVT}{INVT(r1)})}}{\href{#CAPY}{CAPY(r1)}}\right) }}{\href{#sigma_oR}{sigma\_oR(r1)}} +\frac{{(\href{#SHYY}{SHYY(r1)}*{(\href{#sigma_oR}{sigma\_oR(r1)}-1)})}}{\href{#sigma_oR}{sigma\_oR(r1)}} \]
Equation 35: PRKZ
For r1 in regions (2 total):
\[ \href{#PRKZ}{PRKZ(r1)} = \href{#PRCT}{PRCT(r1)} +\frac{ln{ \left( \frac{{(\href{#delta_oH}{delta\_oH(\text{k},r1)}*\href{#CONP}{CONP(r1)})}}{\href{#CAPZ}{CAPZ(r1)}}\right) }}{\href{#sigma_oH}{sigma\_oH(r1)}} +\frac{{(\href{#SHYZ}{SHYZ(r1)}*{(\href{#sigma_oH}{sigma\_oH(r1)}-1)})}}{\href{#sigma_oH}{sigma\_oH(r1)}} \]
Equation 36: WAGE
For r1 in regions (2 total):
\[ lead({\href{#WAGE}{WAGE(r1)}}) = \href{#WAGE}{WAGE(r1)} +\href{#wage_p}{wage\_p(r1)} *{(lead({\href{#PRCT}{PRCT(r1)}})+\href{#PRXX}{PRXX(r1)} -\href{#PRCT}{PRCT(r1)})} +{(1-\href{#wage_p}{wage\_p(r1)})} *{(\href{#PRCT}{PRCT(r1)}-\href{#PRCL}{PRCL(r1)})} +\href{#wage_q}{wage\_q(r1)} *{(ln{ \left(\href{#LABO}{LABO(r1)}\right) } -ln{ \left(\href{#LABX}{LABX(r1)}\right) })} \]
Equation 37: WAGG
For r1 in regions (2 total):
\[ \href{#WAGG}{WAGG(r1)} = \href{#WAGE}{WAGE(r1)} \]
Equation 38: WAG
For r1 in regions, s1 in sec_std (38 total):
\[ \href{#WAG}{WAG(s1,r1)} = \href{#WAGE}{WAGE(r1)} \]
Equation 39: CAP
For r1 in regions, s1 in sec_std (38 total):
\[ lead({\href{#CAP}{CAP(s1,r1)}}) = \href{#JNV}{JNV(s1,r1)} +{(1-\href{#delta}{delta(r1)}-\href{#labgrow}{labgrow(r1)})} *\href{#CAP}{CAP(s1,r1)} \]
Equation 40: CAPY
For r1 in regions (2 total):
\[ lead({\href{#CAPY}{CAPY(r1)}}) = \href{#JNVY}{JNVY(r1)} +{(1-\href{#delta}{delta(r1)}-\href{#labgrow}{labgrow(r1)})} *\href{#CAPY}{CAPY(r1)} \]
Equation 41: CAPZ
For r1 in regions (2 total):
\[ lead({\href{#CAPZ}{CAPZ(r1)}}) = \href{#JNVZ}{JNVZ(r1)} +{(1-\href{#delta}{delta(r1)}-\href{#labgrow}{labgrow(r1)})} *\href{#CAPZ}{CAPZ(r1)} \]
Equation 42: INV
For r1 in regions, s1 in sec_std (38 total):
\[ \href{#INV}{INV(s1,r1)} = \frac{{({(1+.5*{(\href{#TOB}{TOB(s1,r1)}-1)})}*{(\href{#TOB}{TOB(s1,r1)}-1)} *\href{#CAP}{CAP(s1,r1)})}}{\href{#phi}{phi(s1,r1)}} *\href{#forei}{forei(s1,r1)} +\frac{{({(1+.5*{(\href{#TPA}{TPA(s1,r1)}-1)})}*{(\href{#TPA}{TPA(s1,r1)}-1)} *\href{#CAP}{CAP(s1,r1)})}}{\href{#phi}{phi(s1,r1)}} *{(1-\href{#forei}{forei(s1,r1)})} +\href{#SHKI}{SHKI(r1,s1)} \]
Equation 43: JNV
For r1 in regions, s1 in sec_std (38 total):
\[ \href{#JNV}{JNV(s1,r1)} = \frac{{(\href{#INV}{INV(s1,r1)} +\frac{\href{#phi}{phi(s1,r1)}}{2}*\href{#base_jk}{base\_jk(s1,r1)}^2 *\href{#CAP}{CAP(s1,r1)})}}{{(1 +\href{#phi}{phi(s1,r1)}*\href{#base_jk}{base\_jk(s1,r1)})}} \]
Equation 44: INVY
For r1 in regions (2 total):
\[ \href{#INVY}{INVY(r1)} = \href{#JNVY}{JNVY(r1)} *{(1 +\frac{{(\frac{\href{#phi_y}{phi\_y(r1)}}{2}*\href{#JNVY}{JNVY(r1)})}}{\href{#CAPY}{CAPY(r1)}})} \]
Equation 45: INVZ
For r1 in regions (2 total):
\[ \href{#INVZ}{INVZ(r1)} = \href{#JNVZ}{JNVZ(r1)} *{(1 +\frac{{(\frac{\href{#phi_z}{phi\_z(r1)}}{2}*\href{#JNVZ}{JNVZ(r1)})}}{\href{#CAPZ}{CAPZ(r1)}})} \]
Equation 46: JNVY
For r1 in regions (2 total):
\[ \href{#JNVY}{JNVY(r1)} = \frac{{(\href{#CAPY}{CAPY(r1)} *{(\href{#fore_i_y}{fore\_i\_y(r1)}*\href{#TOBY}{TOBY(r1)} +{(1-\href{#fore_i_y}{fore\_i\_y(r1)})}*\href{#TPAY}{TPAY(r1)} -1)})}}{\href{#phi_y}{phi\_y(r1)}} \]
Equation 47: JNVZ
For r1 in regions (2 total):
\[ \href{#JNVZ}{JNVZ(r1)} = \frac{{(\href{#CAPZ}{CAPZ(r1)} *{(\href{#fore_i_z}{fore\_i\_z(r1)}*\href{#TOBZ}{TOBZ(r1)} +{(1-\href{#fore_i_z}{fore\_i\_z(r1)})}*\href{#TPAZ}{TPAZ(r1)} -1)})}}{\href{#phi_z}{phi\_z(r1)}} \]
Equation 48: LAM
For r1 in regions, s1 in sec_std (38 total):
\[ lead({\href{#LAM}{LAM(s1,r1)}}) = {(1+\href{#INTR}{INTR(r1)}+\href{#RISE}{RISE(s1,r1)} +\href{#delta}{delta(r1)})} *\href{#LAM}{LAM(s1,r1)} -{(1-\href{#TCOR}{TCOR(r1)})} *exp{ \left( \href{#PRK}{PRK(s1,r1)}-\href{#PRID}{PRID(r1)}\right) } -{(1-\href{#TITC}{TITC(s1,r1)})} *exp{ \left( \href{#PRII}{PRII(r1)}-\href{#PRID}{PRID(r1)}\right) } *\frac{\href{#phi}{phi(s1,r1)}}{2} *\frac{\href{#JNV}{JNV(s1,r1)}}{\href{#CAP}{CAP(s1,r1)}} ^2 \]
Equation 49: LAMY
For r1 in regions (2 total):
\[ lead({\href{#LAMY}{LAMY(r1)}}) = {(1+\href{#INTR}{INTR(r1)}+\href{#RISY}{RISY(r1)} +\href{#delta}{delta(r1)})} *\href{#LAMY}{LAMY(r1)} -{(1-\href{#TCOR}{TCOR(r1)})} *exp{ \left( \href{#PRKY}{PRKY(r1)}-\href{#PRID}{PRID(r1)}\right) } -exp{ \left( \href{#PRII}{PRII(r1)}-\href{#PRID}{PRID(r1)}\right) } *\frac{\href{#phi_y}{phi\_y(r1)}}{2} *\frac{\href{#JNVY}{JNVY(r1)}}{\href{#CAPY}{CAPY(r1)}} ^2 \]
Equation 50: LAMZ
For r1 in regions (2 total):
\[ lead({\href{#LAMZ}{LAMZ(r1)}}) = {(1+\href{#INTR}{INTR(r1)}+\href{#RISZ}{RISZ(r1)} +\href{#delta}{delta(r1)})} *\href{#LAMZ}{LAMZ(r1)} -exp{ \left( \href{#PRKZ}{PRKZ(r1)}-\href{#PRID}{PRID(r1)}\right) } -{(1-\href{#TITCH}{TITCH(r1)})} *exp{ \left( \href{#PRII}{PRII(r1)}-\href{#PRID}{PRID(r1)}\right) } *\frac{\href{#phi_z}{phi\_z(r1)}}{2} *\frac{\href{#JNVZ}{JNVZ(r1)}}{\href{#CAPZ}{CAPZ(r1)}} ^2 \]
Equation 51: TOB
For r1 in regions, s1 in sec_std (38 total):
\[ \href{#TOB}{TOB(s1,r1)} = \frac{{(\href{#LAM}{LAM(s1,r1)} *exp{ \left( \href{#PRID}{PRID(r1)}-\href{#PRII}{PRII(r1)}\right) })}}{{(1-\href{#TITC}{TITC(s1,r1)})}} \]
Equation 52: TOBY
For r1 in regions (2 total):
\[ \href{#TOBY}{TOBY(r1)} = \href{#LAMY}{LAMY(r1)} *exp{ \left( \href{#PRID}{PRID(r1)}-\href{#PRII}{PRII(r1)}\right) } \]
Equation 53: TOBZ
For r1 in regions (2 total):
\[ \href{#TOBZ}{TOBZ(r1)} = \frac{{(\href{#LAMZ}{LAMZ(r1)} *exp{ \left( \href{#PRID}{PRID(r1)}-\href{#PRII}{PRII(r1)}\right) })}}{{(1-\href{#TITCH}{TITCH(r1)})}} \]
Equation 54: TPA
For r1 in regions, s1 in sec_std (38 total):
\[ lead({\href{#TPA}{TPA(s1,r1)}}) = \href{#TPA}{TPA(s1,r1)} +\href{#adapt}{adapt(r1)} *{(\href{#TOB}{TOB(s1,r1)}-\href{#TPA}{TPA(s1,r1)})} \]
Equation 55: TPAY
For r1 in regions (2 total):
\[ lead({\href{#TPAY}{TPAY(r1)}}) = \href{#TPAY}{TPAY(r1)} +\href{#adapt}{adapt(r1)} *{(\href{#TOBY}{TOBY(r1)}-\href{#TPAY}{TPAY(r1)})} \]
Equation 56: TPAZ
For r1 in regions (2 total):
\[ lead({\href{#TPAZ}{TPAZ(r1)}}) = \href{#TPAZ}{TPAZ(r1)} +\href{#adapt}{adapt(r1)} *{(\href{#TOBZ}{TOBZ(r1)}-\href{#TPAZ}{TPAZ(r1)})} \]
Equation 57: PRF
For r1 in regions, s1 in sec_std (38 total):
\[ \href{#PRF}{PRF(s1,r1)} = \frac{{(\href{#OUP}{OUP(s1,r1)} *exp{ \left(\href{#PRP}{PRP(s1,r1)}\right) } -\href{#ENT}{ENT(s1,r1)} *exp{ \left(\href{#PRE}{PRE(s1,r1)}\right) } -\href{#LAB}{LAB(s1,r1)} *exp{ \left(\href{#WAG}{WAG(s1,r1)}\right) } -\href{#OIN}{OIN(s1,r1)} *exp{ \left(\href{#POI}{POI(s1,r1)}\right) } -{(1-\href{#TITC}{TITC(s1,r1)})}*\href{#INV}{INV(s1,r1)} *exp{ \left(\href{#PRII}{PRII(r1)}\right) })}}{exp{ \left(\href{#PRID}{PRID(r1)}\right) }} \]
Equation 58: PRFY
For r1 in regions (2 total):
\[ \href{#PRFY}{PRFY(r1)} = \frac{{(\href{#INVT}{INVT(r1)} *exp{ \left(\href{#PRII}{PRII(r1)}\right) } -\href{#IITE}{IITE(r1)} *exp{ \left(\href{#PRIE}{PRIE(r1)}\right) } -\href{#IITL}{IITL(r1)} *exp{ \left(\href{#WAGE}{WAGE(r1)}\right) } -\href{#IITO}{IITO(r1)} *exp{ \left(\href{#PROI}{PROI(r1)}\right) } -\href{#INVY}{INVY(r1)} *exp{ \left(\href{#PRII}{PRII(r1)}\right) })}}{exp{ \left(\href{#PRID}{PRID(r1)}\right) }} \]
Equation 59: PRFZ
For r1 in regions (2 total):
\[ \href{#PRFZ}{PRFZ(r1)} = \frac{{(\href{#CONP}{CONP(r1)} *exp{ \left(\href{#PRCT}{PRCT(r1)}\right) } -\href{#CNPE}{CNPE(r1)} *exp{ \left(\href{#PRCE}{PRCE(r1)}\right) } -\href{#CNPL}{CNPL(r1)} *exp{ \left(\href{#WAGE}{WAGE(r1)}\right) } -\href{#CNPO}{CNPO(r1)} *exp{ \left(\href{#PRCO}{PRCO(r1)}\right) } -{(1-\href{#TITCH}{TITCH(r1)})}*\href{#INVZ}{INVZ(r1)} *exp{ \left(\href{#PRII}{PRII(r1)}\right) })}}{exp{ \left(\href{#PRID}{PRID(r1)}\right) }} \]
Equation 60: PRFT
For r1 in regions (2 total):
\[ \href{#PRFT}{PRFT(r1)} = \sum_{s1 \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(\href{#PRF}{PRF(s1,r1)}\right) } +\href{#PRFY}{PRFY(r1)} \]
Equation 61: STM
For r1 in regions, s1 in sec_std (38 total):
\[ \href{#STM}{STM(s1,r1)} = \frac{{(\href{#LAM}{LAM(s1,r1)}*\href{#CAP}{CAP(s1,r1)})}}{{(1-\href{#TITC}{TITC(s1,r1)})}} \]
Equation 62: STMT
For r1 in regions (2 total):
\[ \href{#STMT}{STMT(r1)} = \sum_{s1 \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(\href{#STM}{STM(s1,r1)}\right) } \]
Equation 63: INVP
For r1 in regions (2 total):
\[ \href{#INVP}{INVP(r1)} = \sum_{s1 \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(\href{#INV}{INV(s1,r1)}\right) } \]
Equation 64: INVT
For r1 in regions (2 total):
\[ \href{#INVT}{INVT(r1)} = \href{#INVY}{INVY(r1)}+\href{#INVZ}{INVZ(r1)} +\href{#INVP}{INVP(r1)} \]
Equation 65: PRID
For r1 in regions (2 total):
\[ \href{#PRID}{PRID(r1)} = \sum_{g20 \; \text{in} \; \href{#goods}{goods}} { \left(\href{#prid_weight}{prid\_weight(g20,r1)} *\href{#PRD}{PRD(g20,r1)}\right) } \]
Equation 66: PRIX
For r1 in regions (2 total):
\[ \href{#PRIX}{PRIX(r1)} = \sum_{g26 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(\href{#prix_weight}{prix\_weight(g26,r1)} *\href{#PRX}{PRX(g26,r1)}\right) } \]
Equation 67: OUTP
For r1 in regions (2 total):
\[ \href{#OUTP}{OUTP(r1)} = \frac{\sum_{g20 \; \text{in} \; \href{#goods}{goods}} { \left(exp{ \left(\href{#PRD}{PRD(g20,r1)}\right) } *\href{#OUG}{OUG(g20,r1)}\right) }}{exp{ \left(\href{#PRID}{PRID(r1)}\right) }} \]
Equation 68: OUTL
For r1 in regions (2 total):
\[ lead({\href{#OUTL}{OUTL(r1)}}) = \href{#OUTP}{OUTP(r1)} \]
Equation 69: INCM
For r1 in regions (2 total):
\[ \href{#INCM}{INCM(r1)} = \href{#TRAN}{TRAN(r1)}-\href{#TAXL}{TAXL(r1)} +\href{#INTR}{INTR(r1)}*\href{#BOND}{BOND(r1)} +\frac{\href{#IRAS}{IRAS(r1)}}{exp{ \left(\href{#REXN}{REXN(r1)}\right) }} +\href{#PRFZ}{PRFZ(r1)} +{(1-\href{#TCOR}{TCOR(r1)})}*\href{#PRFT}{PRFT(r1)} +\frac{{({(1-\href{#TINC}{TINC(r1)})} *{(exp{ \left(\href{#WAGE}{WAGE(r1)}\right) } *{(\href{#IITL}{IITL(r1)}+\href{#CNPL}{CNPL(r1)})} +exp{ \left(\href{#WAGG}{WAGG(r1)}\right) } *\href{#GOVL}{GOVL(r1)} +\sum_{s1 \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(exp{ \left(\href{#WAG}{WAG(s1,r1)}\right) } *\href{#LAB}{LAB(s1,r1)}\right) })})}}{exp{ \left(\href{#PRID}{PRID(r1)}\right) }} \]
Equation 70: CONP
For r1 in regions (2 total):
\[ \href{#CONP}{CONP(r1)} = \href{#fore_c}{fore\_c(r1)} *{(\href{#timepref}{timepref(r1)}+\href{#RISW}{RISW(r1)})} *\href{#WELT}{WELT(r1)} *exp{ \left( \href{#PRID}{PRID(r1)}-\href{#PRCT}{PRCT(r1)}\right) } +{(1-\href{#fore_c}{fore\_c(r1)})}*\href{#mpc}{mpc(r1)} *\href{#INCM}{INCM(r1)} *exp{ \left( \href{#PRID}{PRID(r1)}-\href{#PRCT}{PRCT(r1)}\right) } +\href{#SHKC}{SHKC(r1)} \]
Equation 71: IRAS
For o1 in owner (2 total):
\[ \href{#IRAS}{IRAS(o1)} = \sum_{c \; \text{in} \; \href{#currency}{currency}} { \left(\href{#INTR}{INTR(c)} *exp{ \left(\href{#REXN}{REXN(c)}\right) } *\href{#ASSE}{ASSE(c,o1)}\right) } \]
Equation 72: INAS
For o1 in owner (2 total):
\[ \href{#INAS}{INAS(o1)} = \sum_{c \; \text{in} \; \href{#currency}{currency}} { \left(\href{#INTN}{INTN(c)} *exp{ \left(\href{#REXN}{REXN(c)}\right) } *\href{#ASSE}{ASSE(c,o1)}\right) } \]
Equation 73: CNPL
For r1 in regions (2 total):
\[ \href{#CNPL}{CNPL(r1)} = exp{ \left( \href{#SHLZ}{SHLZ(r1)}+\href{#SHYZ}{SHYZ(r1)}\right) } ^{(\href{#sigma_oH}{sigma\_oH(r1)}-1)} *\href{#delta_oH}{delta\_oH(\text{l},r1)} *\href{#CONP}{CONP(r1)} *exp{ \left( \href{#PRCT}{PRCT(r1)}-\href{#WAGE}{WAGE(r1)}\right) } ^\href{#sigma_oH}{sigma\_oH(r1)} \]
Equation 74: CNPE
For r1 in regions (2 total):
\[ \href{#CNPE}{CNPE(r1)} = exp{ \left( \href{#SHEFC}{SHEFC(r1)}+\href{#SHYZ}{SHYZ(r1)}\right) } ^{(\href{#sigma_oH}{sigma\_oH(r1)}-1)} *\href{#delta_oH}{delta\_oH(\text{e},r1)} *\href{#CONP}{CONP(r1)} *exp{ \left( \href{#PRCT}{PRCT(r1)}-\href{#PRCE}{PRCE(r1)}\right) } ^\href{#sigma_oH}{sigma\_oH(r1)} \]
Equation 75: CNPO
For r1 in regions (2 total):
\[ \href{#CNPO}{CNPO(r1)} = exp{ \left(\href{#SHYZ}{SHYZ(r1)}\right) } ^{(\href{#sigma_oH}{sigma\_oH(r1)}-1)} *\href{#delta_oH}{delta\_oH(\text{m},r1)} *\href{#CONP}{CONP(r1)} *exp{ \left( \href{#PRCT}{PRCT(r1)}-\href{#PRCO}{PRCO(r1)}\right) } ^\href{#sigma_oH}{sigma\_oH(r1)} \]
Equation 76: CNPK
For r1 in regions (2 total):
\[ \href{#CNPK}{CNPK(r1)} = exp{ \left(\href{#SHYZ}{SHYZ(r1)}\right) } ^{(\href{#sigma_oH}{sigma\_oH(r1)}-1)} *\href{#delta_oH}{delta\_oH(\text{k},r1)} *\href{#CONP}{CONP(r1)} *exp{ \left( \href{#PRCT}{PRCT(r1)}-\href{#PRKZ}{PRKZ(r1)}\right) } ^\href{#sigma_oH}{sigma\_oH(r1)} \]
Equation 77: FDEN
For g21 in goods_e, r1 in regions (10 total):
\[ \href{#FDEN}{FDEN(g21,r1)} = \href{#CON}{CON(g21,r1)} \]
Equation 78: PRCT
For r1 in regions (2 total):
\[ \href{#PRCT}{PRCT(r1)} = \href{#cd_oH}{cd\_oH(r1)} *{(\href{#delta_oH}{delta\_oH(\text{k},r1)}*\href{#PRKZ}{PRKZ(r1)} +\href{#delta_oH}{delta\_oH(\text{l},r1)}*\href{#WAGE}{WAGE(r1)} +\href{#delta_oH}{delta\_oH(\text{e},r1)}*\href{#PRCE}{PRCE(r1)} +\href{#delta_oH}{delta\_oH(\text{m},r1)}*\href{#PRCO}{PRCO(r1)} -\href{#delta_oH}{delta\_oH(\text{l},r1)}*\href{#SHLZ}{SHLZ(r1)} -\href{#delta_oH}{delta\_oH(\text{e},r1)}*\href{#SHEFC}{SHEFC(r1)})} +\frac{{({(1-\href{#cd_oH}{cd\_oH(r1)})} *ln{ \left( \href{#delta_oH}{delta\_oH(\text{k},r1)} *exp{ \left(\href{#PRKZ}{PRKZ(r1)}\right) } ^{(1-\href{#sigma_oH}{sigma\_oH(r1)})} +\href{#delta_oH}{delta\_oH(\text{l},r1)} *exp{ \left( \href{#WAGE}{WAGE(r1)}-\href{#SHLZ}{SHLZ(r1)}\right) } ^{(1-\href{#sigma_oH}{sigma\_oH(r1)})} +\href{#delta_oH}{delta\_oH(\text{e},r1)} *exp{ \left( \href{#PRCE}{PRCE(r1)}-\href{#SHEFC}{SHEFC(r1)}\right) } ^{(1-\href{#sigma_oH}{sigma\_oH(r1)})} +\href{#delta_oH}{delta\_oH(\text{m},r1)} *exp{ \left(\href{#PRCO}{PRCO(r1)}\right) } ^{(1-\href{#sigma_oH}{sigma\_oH(r1)})}\right) })}}{{(1 -\href{#sigma_oH}{sigma\_oH(r1)}*{(1-\href{#cd_oH}{cd\_oH(r1)})})}} -\href{#SHYZ}{SHYZ(r1)} \]
Equation 79: PRGT
For r1 in regions (2 total):
\[ \href{#PRGT}{PRGT(r1)} = \frac{\href{#delta_oG}{delta\_oG(\text{e},r1)}}{{(\href{#delta_oG}{delta\_oG(\text{e},r1)} +\href{#delta_oG}{delta\_oG(\text{m},r1)})}} *\sum_{g21 \; \text{in} \; \href{#goods_e}{goods\_e}} { \left(\href{#delta_eG}{delta\_eG(g21,r1)}*\href{#PRY}{PRY(g21,r1)}\right) } +\frac{\href{#delta_oG}{delta\_oG(\text{m},r1)}}{{(\href{#delta_oG}{delta\_oG(\text{e},r1)} +\href{#delta_oG}{delta\_oG(\text{m},r1)})}} *\sum_{g23 \; \text{in} \; \href{#goods_m}{goods\_m}} { \left(\href{#delta_mG}{delta\_mG(g23,r1)}*\href{#PRY}{PRY(g23,r1)}\right) } \]
Equation 80: MONE
For r1 in regions (2 total):
\[ \href{#MONE}{MONE(r1)} = \href{#PRID}{PRID(r1)} +ln{ \left(\href{#OUTP}{OUTP(r1)}\right) } +\href{#int_elast}{int\_elast(r1)}*\href{#INTN}{INTN(r1)} +\href{#SHKM}{SHKM(r1)} \]
Equation 81: INTF
For r1 in regions (2 total):
\[ \href{#INTF}{INTF(r1)} = \href{#INTN}{INTN(r1)}-lead({\href{#PRID}{PRID(r1)}}) +\href{#PRID}{PRID(r1)} \]
Equation 82: INTR
For r1 in regions (2 total):
\[ \href{#INTR}{INTR(r1)} = \href{#INTF}{INTF(r1)}+\href{#RISR}{RISR(r1)} \]
Equation 83: INFP
For r1 in regions (2 total):
\[ \href{#INFP}{INFP(r1)} = \href{#PRID}{PRID(r1)}-\href{#PRDL}{PRDL(r1)} \]
Equation 84: PRCL
For r1 in regions (2 total):
\[ lead({\href{#PRCL}{PRCL(r1)}}) = \href{#PRCT}{PRCT(r1)} \]
Equation 85: PRDL
For r1 in regions (2 total):
\[ lead({\href{#PRDL}{PRDL(r1)}}) = \href{#PRID}{PRID(r1)} \]
Equation 86: GDPN
For r1 in regions (2 total):
\[ \href{#GDPN}{GDPN(r1)} = exp{ \left(\href{#PRCT}{PRCT(r1)}\right) } *\href{#CONP}{CONP(r1)} +exp{ \left(\href{#PRGT}{PRGT(r1)}\right) } *\href{#GCET}{GCET(r1)} +exp{ \left(\href{#PRII}{PRII(r1)}\right) } *\href{#INVT}{INVT(r1)} +exp{ \left(\href{#PRID}{PRID(r1)}\right) } *\href{#TBAL}{TBAL(r1)} +\sum_{g26 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(exp{ \left(\href{#PRII}{PRII(r1)}\right) } *\href{#INS}{INS(r1,g26)}\right) } \]
Equation 87: GDPR
For r1 in regions (2 total):
\[ \href{#GDPR}{GDPR(r1)} = \href{#CONP}{CONP(r1)}+\href{#GCET}{GCET(r1)} +\href{#INVT}{INVT(r1)} +\href{#TBAL}{TBAL(r1)} +\sum_{g26 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(\href{#INS}{INS(r1,g26)}\right) } \]
Equation 88: PGDP
For r1 in regions (2 total):
\[ \href{#PGDP}{PGDP(r1)} = ln{ \left(\href{#GDPN}{GDPN(r1)}\right) } -ln{ \left(\href{#GDPR}{GDPR(r1)}\right) } \]
Equation 89: GNPR
For r1 in regions (2 total):
\[ \href{#GNPR}{GNPR(r1)} = \href{#GDPR}{GDPR(r1)} +\frac{{(\href{#PBAL}{PBAL(r1)}+\href{#IRAS}{IRAS(r1)})}}{exp{ \left(\href{#REXN}{REXN(r1)}\right) }} \]
Equation 90: CURN
For r1 in regions (2 total):
\[ \href{#CURN}{CURN(r1)} = \href{#TBAL}{TBAL(r1)} +\frac{{(\href{#PBAL}{PBAL(r1)}+\href{#INAS}{INAS(r1)})}}{exp{ \left(\href{#REXN}{REXN(r1)}\right) }} \]
Equation 91: CURR
For r1 in regions (2 total):
\[ \href{#CURR}{CURR(r1)} = \href{#TBAU}{TBAU(r1)}+\href{#PBAL}{PBAL(r1)} +\href{#IRAS}{IRAS(r1)} \]
Equation 92: WELT
For r1 in regions (2 total):
\[ \href{#WELT}{WELT(r1)} = \href{#BOND}{BOND(r1)} +\frac{\href{#ASSU}{ASSU(r1)}}{exp{ \left(\href{#REXN}{REXN(r1)}\right) }} +\frac{{(\href{#mongdp}{mongdp(r1)} *exp{ \left(\href{#MONE}{MONE(r1)}\right) })}}{exp{ \left(\href{#PRID}{PRID(r1)}\right) }} +\href{#WELH}{WELH(r1)} +\href{#LAMY}{LAMY(r1)}*\href{#CAPY}{CAPY(r1)} +\href{#LAMZ}{LAMZ(r1)}*\href{#CAPZ}{CAPZ(r1)} +\sum_{s1 \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(\href{#STM}{STM(s1,r1)}\right) } \]
Equation 93: WELH
For r1 in regions (2 total):
\[ lead({\href{#WELH}{WELH(r1)}}) = {(1+\href{#RISW}{RISW(r1)}+\href{#RISH}{RISH(r1)} +\href{#INTR}{INTR(r1)} -\href{#labgrow}{labgrow(r1)})} *\href{#WELH}{WELH(r1)} -\href{#TRAN}{TRAN(r1)} +\href{#TAXH}{TAXH(r1)} +\href{#TAXL}{TAXL(r1)} -\frac{{(exp{ \left(\href{#WAGE}{WAGE(r1)}\right) } *{(\href{#IITL}{IITL(r1)}+\href{#CNPL}{CNPL(r1)})} +exp{ \left(\href{#WAGG}{WAGG(r1)}\right) } *\href{#GOVL}{GOVL(r1)} +\sum_{s1 \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(exp{ \left(\href{#WAG}{WAG(s1,r1)}\right) } *\href{#LAB}{LAB(s1,r1)}\right) })}}{exp{ \left(\href{#PRID}{PRID(r1)}\right) }} \]
Equation 94: SAVI
For r1 in regions (2 total):
\[ \href{#SAVI}{SAVI(r1)} = \href{#INVT}{INVT(r1)} *exp{ \left( \href{#PRII}{PRII(r1)}-\href{#PRID}{PRID(r1)}\right) } +\frac{\href{#CURR}{CURR(r1)}}{exp{ \left(\href{#REXN}{REXN(r1)}\right) }} +\href{#DEFI}{DEFI(r1)} \]
Equation 95: SAVN
For r1 in regions (2 total):
\[ \href{#SAVN}{SAVN(r1)} = \href{#INVT}{INVT(r1)} *exp{ \left( \href{#PRII}{PRII(r1)}-\href{#PRID}{PRID(r1)}\right) } +\href{#CURN}{CURN(r1)} +\href{#DEFN}{DEFN(r1)} \]
Equation 96: SAVT
For r1 in regions (2 total):
\[ \href{#SAVT}{SAVT(r1)} = \href{#INVT}{INVT(r1)} *exp{ \left( \href{#PRII}{PRII(r1)}-\href{#PRID}{PRID(r1)}\right) } +\href{#CURN}{CURN(r1)} \]
Equation 97: TBAL
For r1 in regions (2 total):
\[ \href{#TBAL}{TBAL(r1)} = \href{#EXQT}{EXQT(r1)}-\href{#IMQT}{IMQT(r1)} \]
Equation 98: TBAU
For r1 in regions (2 total):
\[ \href{#TBAU}{TBAU(r1)} = \href{#TBAL}{TBAL(r1)} *exp{ \left(\href{#REXN}{REXN(r1)}\right) } \]
Equation 99: EMCO2
For r1 in regions, s1 in sec_std (38 total):
\[ \href{#EMCO2}{EMCO2(s1,r1)} = \sum_{g21 \; \text{in} \; \href{#goods_e}{goods\_e}} { \left(\href{#co2coef}{co2coef(s1,g21,r1)}*\href{#EN}{EN(s1,g21,r1)}\right) } \]
Equation 100: EMCO2FD
For r1 in regions (2 total):
\[ \href{#EMCO2FD}{EMCO2FD(r1)} = \sum_{g21 \; \text{in} \; \href{#goods_e}{goods\_e}} { \left(\href{#co2coefFD}{co2coefFD(g21,r1)}*\href{#FDEN}{FDEN(g21,r1)}\right) } \]
Equation 101: EMCO
For r1 in regions (2 total):
\[ \href{#EMCO}{EMCO(r1)} = \sum_{s1 \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(\href{#EMCO2}{EMCO2(s1,r1)}\right) } +\href{#EMCO2FD}{EMCO2FD(r1)} \]
Equation 102: EXCH
\[ \href{#EXCH}{EXCH(n)} = \href{#REXN}{REXN(n)}-\href{#PRID}{PRID(n)} +\href{#PRID}{PRID(\text{USA})} \]
Equation 103: EXCL
For r1 in regions (2 total):
\[ lead({\href{#EXCL}{EXCL(r1)}}) = \href{#EXCH}{EXCH(r1)} \]
Equation 104: REXC
For r1 in regions (2 total):
\[ lead({\href{#REXC}{REXC(r1)}}) = \href{#REXC}{REXC(r1)}-\href{#INTR}{INTR(r1)} +\href{#INTR}{INTR(\text{USA})} +\href{#EXCR}{EXCR(r1)} \]
Equation 105: REXN
For r1 in regions (2 total):
\[ \href{#REXN}{REXN(r1)} = \href{#REXC}{REXC(r1)} \]
Equation 106: NEER
For d in dest (2 total):
\[ \href{#NEER}{NEER(d)} = {( -\sum_{o \; \text{in} \; \href{#orig}{orig}} { \left(\href{#eer_weight}{eer\_weight(d,o)} *{(\href{#EXCH}{EXCH(o)}-\href{#EXCH}{EXCH(d)})}\right) })} \]
Equation 107: REER
For d in dest (2 total):
\[ \href{#REER}{REER(d)} = {( -\sum_{o \; \text{in} \; \href{#orig}{orig}} { \left(\href{#eer_weight}{eer\_weight(d,o)} *{(\href{#REXN}{REXN(o)}-\href{#REXN}{REXN(d)})}\right) })} \]
Equation 108: ABUY
For o1 in owner (2 total):
\[ \href{#ABUY}{ABUY(o1)} = \sum_{a \; \text{in} \; \href{#abroad}{abroad}} { \left(\href{#ainv}{ainv(o1,a)}*\href{#CURR}{CURR(a)}\right) } \]
Equation 109: ASSE
For c in currency, o1 in owner (4 total):
\[ lead({\href{#ASSE}{ASSE(c,o1)}}) = \href{#ASSE}{ASSE(c,o1)}*{(1-\href{#labgrow}{labgrow(o1)})} +\frac{{(\href{#ashr}{ashr(c,o1)}*\href{#ABUY}{ABUY(o1)} +\href{#aeye}{aeye(c,o1)} *{(\href{#CURR}{CURR(o1)}-\href{#ABUY}{ABUY(o1)})})}}{exp{ \left(\href{#REXN}{REXN(c)}\right) }} \]
Equation 110: ASSU
For o1 in owner (2 total):
\[ \href{#ASSU}{ASSU(o1)} = \sum_{c \; \text{in} \; \href{#currency}{currency}} { \left(exp{ \left(\href{#REXN}{REXN(c)}\right) } *\href{#ASSE}{ASSE(c,o1)}\right) } \]
Equation 111: EYGR
For r1 in regions (2 total):
\[ \href{#EYGR}{EYGR(r1)} = ln{ \left(lead({\href{#OUTP}{OUTP(r1)}})\right) } -ln{ \left(\href{#OUTP}{OUTP(r1)}\right) } \]
Equation 112: EPRC
For r1 in regions (2 total):
\[ \href{#EPRC}{EPRC(r1)} = lead({\href{#PRCT}{PRCT(r1)}})-\href{#PRCT}{PRCT(r1)} \]
Equation 113: INFL
For r1 in regions (2 total):
\[ \href{#INFL}{INFL(r1)} = \href{#PRCT}{PRCT(r1)}-\href{#PRCL}{PRCL(r1)} \]
Equation 114: PRCOL
For r1 in regions (2 total):
\[ lead({\href{#PRCOL}{PRCOL(r1)}}) = \href{#PRCO}{PRCO(r1)} \]
Equation 115: INFCL
For r1 in regions (2 total):
\[ \href{#INFCL}{INFCL(r1)} = \href{#PRCO}{PRCO(r1)}-\href{#PRCOL}{PRCOL(r1)} \]
Equation 116: GNEN
For r1 in regions (2 total):
\[ \href{#GNEN}{GNEN(r1)} = exp{ \left(\href{#PRCT}{PRCT(r1)}\right) } *\href{#CONP}{CONP(r1)} +exp{ \left(\href{#PRID}{PRID(r1)}\right) } *\href{#GCET}{GCET(r1)} +exp{ \left(\href{#PRII}{PRII(r1)}\right) } *\href{#INVT}{INVT(r1)} +\sum_{g26 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(exp{ \left(\href{#PRII}{PRII(r1)}\right) } *\href{#INS}{INS(r1,g26)}\right) } \]
Equation 117: GNER
For r1 in regions (2 total):
\[ \href{#GNER}{GNER(r1)} = \href{#CONP}{CONP(r1)}+\href{#GCET}{GCET(r1)} +\href{#INVT}{INVT(r1)} +\sum_{g26 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(\href{#INS}{INS(r1,g26)}\right) } \]
Equation 118: INTN
For r1 in regions (2 total):
\[ \href{#INTN}{INTN(r1)} = \href{#mrule_r}{mrule\_r(r1)}*\href{#INTL}{INTL(r1)} +\href{#mrule_ex}{mrule\_ex(r1)} *{(\href{#EXCH}{EXCH(r1)}-\href{#EXCL}{EXCL(r1)} -\href{#EXCX}{EXCX(r1)})} +\href{#mrule_1}{mrule\_1(r1)} *{(\href{#INFL}{INFL(r1)}-\href{#INFX}{INFX(r1)})} +\href{#mrule_2}{mrule\_2(r1)} *{(\href{#INFP}{INFP(r1)}-\href{#INFX}{INFX(r1)})} +\href{#mrule_3}{mrule\_3(r1)} *{(\href{#INFCL}{INFCL(r1)}-\href{#INFX}{INFX(r1)})} +\href{#mrule_4}{mrule\_4(r1)} *{(\href{#PRCT}{PRCT(r1)}-\href{#PTAR}{PTAR(r1)})} +\href{#mrule_5}{mrule\_5(r1)} *{(\href{#PRID}{PRID(r1)}-\href{#PTAR}{PTAR(r1)})} +\href{#mrule_6}{mrule\_6(r1)} *{(\href{#WAGE}{WAGE(r1)}-\href{#PTAR}{PTAR(r1)})} +\href{#mrule_7}{mrule\_7(r1)}*0 +\href{#mrule_8}{mrule\_8(r1)} *{(ln{ \left(\href{#OUTP}{OUTP(r1)}\right) } -ln{ \left(\href{#OUTL}{OUTL(r1)}\right) } -\href{#ROGY}{ROGY(r1)})} +\href{#mrule_9}{mrule\_9(r1)} *{(ln{ \left(\href{#OUTP}{OUTP(r1)}\right) } -ln{ \left(\href{#OUTL}{OUTL(r1)}\right) } -\href{#ROGY}{ROGY(r1)} +\href{#INFP}{INFP(r1)} -\href{#INFX}{INFX(r1)})} +\href{#mrule_10}{mrule\_10(r1)} *{(ln{ \left(\href{#GDPN}{GDPN(r1)}\right) } -\href{#ROGY}{ROGY(r1)})} +\href{#mrule_11}{mrule\_11(r1)} *{(ln{ \left(\href{#OUTP}{OUTP(r1)}\right) } +\href{#PRID}{PRID(r1)})} +\href{#mrule_12}{mrule\_12(r1)} *ln{ \left( \href{#OUTP}{OUTP(r1)} *exp{ \left(\href{#PRID}{PRID(r1)}\right) } -\href{#TBAL}{TBAL(r1)}\right) } +\href{#mrule_13}{mrule\_13(r1)} *{(\href{#EPRC}{EPRC(r1)}-\href{#INFX}{INFX(r1)})} +\href{#mrule_14}{mrule\_14(r1)} *{(\href{#EYGR}{EYGR(r1)}-\href{#ROGY}{ROGY(r1)})} +\href{#mrule_15}{mrule\_15(r1)} *{(ln{ \left(\href{#GNEN}{GNEN(r1)}\right) } -\href{#ROGY}{ROGY(r1)})} \]
Equation 119: INTL
For r1 in regions (2 total):
\[ lead({\href{#INTL}{INTL(r1)}}) = \href{#INTN}{INTN(r1)} \]
Equation 120: GCE
For g21 in goods_e, r1 in regions (10 total):
\[ \href{#GCE}{GCE(g21,r1)} = \frac{{(\href{#delta_eG}{delta\_eG(g21,r1)} *\frac{\href{#delta_oG}{delta\_oG(\text{e},r1)}}{{(\href{#delta_oG}{delta\_oG(\text{e},r1)} +\href{#delta_oG}{delta\_oG(\text{m},r1)})}} *\href{#GOVS}{GOVS(r1)} *exp{ \left(\href{#PRGT}{PRGT(r1)}\right) })}}{exp{ \left(\href{#PRY}{PRY(g21,r1)}\right) }} \]
Equation 121: GCE
For g23 in goods_m, r1 in regions (14 total):
\[ \href{#GCE}{GCE(g23,r1)} = \frac{{(\href{#delta_mG}{delta\_mG(g23,r1)} *\frac{\href{#delta_oG}{delta\_oG(\text{m},r1)}}{{(\href{#delta_oG}{delta\_oG(\text{e},r1)} +\href{#delta_oG}{delta\_oG(\text{m},r1)})}} *\href{#GOVS}{GOVS(r1)} *exp{ \left(\href{#PRGT}{PRGT(r1)}\right) })}}{exp{ \left(\href{#PRY}{PRY(g23,r1)}\right) }} \]
Equation 122: GCET
For r1 in regions (2 total):
\[ \href{#GCET}{GCET(r1)} = \frac{\sum_{g26 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(\href{#GCE}{GCE(g26,r1)} *exp{ \left(\href{#PRY}{PRY(g26,r1)}\right) }\right) }}{exp{ \left(\href{#PRGT}{PRGT(r1)}\right) }} \]
Equation 123: GOVT
For r1 in regions (2 total):
\[ \href{#GOVT}{GOVT(r1)} = \href{#GCET}{GCET(r1)} +\href{#GOVL}{GOVL(r1)} *exp{ \left( \href{#WAGG}{WAGG(r1)}-\href{#PRID}{PRID(r1)}\right) } \]
Equation 124: TRAN
For r1 in regions (2 total):
\[ \href{#TRAN}{TRAN(r1)} = \href{#TRANX}{TRANX(r1)} +\href{#transgdp}{transgdp(r1)}*\href{#OUTP}{OUTP(r1)} \]
Equation 125: TXM
For d in dest, g26 in goods_o (24 total):
\[ \href{#TXM}{TXM(g26,d)} = \frac{\sum_{o \; \text{in} \; \href{#orig}{orig}} { \left({(\href{#TIM}{TIM(g26,d,o)}*\href{#MUL}{MUL(d,o)} +\href{#TIF}{TIF(g26,d)}*\href{#FTA}{FTA(d,o)})} *exp{ \left(\href{#PIM}{PIM(g26,d,o)}\right) } *\href{#IMP}{IMP(g26,d,o)}\right) }}{exp{ \left(\href{#PRID}{PRID(d)}\right) }} \]
Equation 126: TAXM
For d in dest (2 total):
\[ \href{#TAXM}{TAXM(d)} = \sum_{g26 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(\href{#TXM}{TXM(g26,d)}\right) } \]
Equation 127: TAXX
For r1 in regions (2 total):
\[ \href{#TAXX}{TAXX(r1)} = \frac{\sum_{g26 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(\href{#TEX}{TEX(g26,r1)} *exp{ \left(\href{#PRS}{PRS(g26,r1)}\right) } *\href{#EXQ}{EXQ(g26,r1)}\right) }}{exp{ \left(\href{#PRID}{PRID(r1)}\right) }} \]
Equation 128: TAXH
For r1 in regions (2 total):
\[ \href{#TAXH}{TAXH(r1)} = \frac{{(\href{#TINC}{TINC(r1)} *{(exp{ \left(\href{#WAGE}{WAGE(r1)}\right) } *{(\href{#IITL}{IITL(r1)}+\href{#CNPL}{CNPL(r1)})} +exp{ \left(\href{#WAGG}{WAGG(r1)}\right) } *\href{#GOVL}{GOVL(r1)} +\sum_{s1 \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(exp{ \left(\href{#WAG}{WAG(s1,r1)}\right) } *\href{#LAB}{LAB(s1,r1)}\right) })} -\href{#TITCH}{TITCH(r1)} *exp{ \left(\href{#PRII}{PRII(r1)}\right) } *\href{#INVZ}{INVZ(r1)})}}{exp{ \left(\href{#PRID}{PRID(r1)}\right) }} \]
Equation 129: BOND
For r1 in regions (2 total):
\[ lead({\href{#BOND}{BOND(r1)}}) = \href{#DEFI}{DEFI(r1)} +\href{#BOND}{BOND(r1)}*{(1-\href{#labgrow}{labgrow(r1)})} -\href{#PBAG}{PBAG(r1)} \]
Equation 130: TAXL
For r1 in regions (2 total):
\[ \href{#TAXL}{TAXL(r1)} = \href{#INTR}{INTR(r1)}*\href{#BOND}{BOND(r1)} +\href{#TAXS}{TAXS(r1)} \]
Equation 131: TAXT
For r1 in regions (2 total):
\[ \href{#TAXT}{TAXT(r1)} = \href{#TAXC}{TAXC(r1)}+\href{#TAXH}{TAXH(r1)} +\href{#TAXL}{TAXL(r1)} +\href{#TAXM}{TAXM(r1)} +\href{#TAXX}{TAXX(r1)} +\href{#TAXE}{TAXE(r1)} \]
Equation 132: DEFI
For r1 in regions (2 total):
\[ \href{#DEFI}{DEFI(r1)} = \href{#GOVT}{GOVT(r1)}+\href{#TRAN}{TRAN(r1)} -\href{#TAXT}{TAXT(r1)} +\href{#INTR}{INTR(r1)}*\href{#BOND}{BOND(r1)} \]
Equation 133: DEFN
For r1 in regions (2 total):
\[ \href{#DEFN}{DEFN(r1)} = \href{#DEFI}{DEFI(r1)} +{(\href{#INTN}{INTN(r1)}-\href{#INTR}{INTR(r1)})} *\href{#BOND}{BOND(r1)} \]
Equation 134: PRT
For g21 in goods_e, r1 in regions, s1 in sec_std (190 total):
\[ \href{#PRT}{PRT(s1,g21,r1)} = ln{ \left( exp{ \left(\href{#PRS}{PRS(g21,r1)}\right) } *{(1+\href{#TAX}{TAX(g21,r1)}+\href{#CTAV}{CTAV(s1,g21,r1)} +\href{#CTAVS}{CTAVS(r1)})} +\href{#TXGS}{TXGS(s1,g21,r1)} +\frac{{(\href{#c_scalar}{c\_scalar(r1)} *{(\href{#TCPS}{TCPS(s1,g21,r1)}+\href{#SCON}{SCON(r1)})} *\href{#co2coef}{co2coef(s1,g21,r1)})}}{100}\right) } \]
Equation 135: CON
For g21 in goods_e, r1 in regions (10 total):
\[ \href{#CON}{CON(g21,r1)} = \href{#delta_eH}{delta\_eH(g21,r1)}*\href{#CNPE}{CNPE(r1)} *exp{ \left( \href{#PRCE}{PRCE(r1)} -ln{ \left( exp{ \left(\href{#PRY}{PRY(g21,r1)}\right) } *{(1+\href{#CTFDAV}{CTFDAV(g21,r1)})} +\frac{{(\href{#c_scalar}{c\_scalar(r1)} *{(\href{#TCPSFD}{TCPSFD(g21,r1)}+\href{#SCON}{SCON(r1)})} *\href{#co2coefFD}{co2coefFD(g21,r1)})}}{100}\right) }\right) } ^\href{#sigma_eH}{sigma\_eH(r1)} \]
Equation 136: CON
For g24 in goods_mc, r1 in regions (12 total):
\[ \href{#CON}{CON(g24,r1)} = \href{#delta_mH}{delta\_mH(g24,r1)}*\href{#CNPO}{CNPO(r1)} *exp{ \left( \href{#PRCO}{PRCO(r1)}-\href{#PRY}{PRY(g24,r1)}\right) } ^\href{#sigma_mH}{sigma\_mH(r1)} \]
Equation 137: EN
For g21 in goods_e, r1 in regions, s1 in sec_std (190 total):
\[ \href{#EN}{EN(s1,g21,r1)} = \href{#delta_e}{delta\_e(r1,s1,g21)}*\href{#ENT}{ENT(s1,r1)} *exp{ \left( \href{#PRE}{PRE(s1,r1)}-\href{#PRT}{PRT(s1,g21,r1)}\right) } ^\href{#sigma_e}{sigma\_e(s1,r1)} \]
Equation 138: OI
For g23 in goods_m, r1 in regions, s1 in sec_std (266 total):
\[ \href{#OI}{OI(s1,g23,r1)} = \href{#delta_m}{delta\_m(r1,s1,g23)}*\href{#OIN}{OIN(s1,r1)} *exp{ \left( \href{#POI}{POI(s1,r1)}-\href{#PRY}{PRY(g23,r1)}\right) } ^\href{#sigma_m}{sigma\_m(s1,r1)} \]
Equation 139: PRE
For r1 in regions, s1 in sec_std (38 total):
\[ \href{#PRE}{PRE(s1,r1)} = \href{#cd_e}{cd\_e(s1,r1)} *\sum_{g21 \; \text{in} \; \href{#goods_e}{goods\_e}} { \left(\href{#delta_e}{delta\_e(r1,s1,g21)}*\href{#PRT}{PRT(s1,g21,r1)}\right) } +\frac{{({(1-\href{#cd_e}{cd\_e(s1,r1)})} *ln{ \left( \sum_{g21 \; \text{in} \; \href{#goods_e}{goods\_e}} { \left(\href{#delta_e}{delta\_e(r1,s1,g21)} *exp{ \left(\href{#PRT}{PRT(s1,g21,r1)}\right) } ^{(1-\href{#sigma_e}{sigma\_e(s1,r1)})}\right) }\right) })}}{{(1 -\href{#sigma_e}{sigma\_e(s1,r1)}*{(1-\href{#cd_e}{cd\_e(s1,r1)})})}} \]
Equation 140: POI
For r1 in regions, s1 in sec_std (38 total):
\[ \href{#POI}{POI(s1,r1)} = \href{#cd_m}{cd\_m(s1,r1)} *\sum_{g23 \; \text{in} \; \href{#goods_m}{goods\_m}} { \left(\href{#delta_m}{delta\_m(r1,s1,g23)}*\href{#PRY}{PRY(g23,r1)}\right) } +\frac{{({(1-\href{#cd_m}{cd\_m(s1,r1)})} *ln{ \left( \sum_{g23 \; \text{in} \; \href{#goods_m}{goods\_m}} { \left(\href{#delta_m}{delta\_m(r1,s1,g23)} *exp{ \left(\href{#PRY}{PRY(g23,r1)}\right) } ^{(1-\href{#sigma_m}{sigma\_m(s1,r1)})}\right) }\right) })}}{{(1 -\href{#sigma_m}{sigma\_m(s1,r1)}*{(1-\href{#cd_m}{cd\_m(s1,r1)})})}} \]
Equation 141: PRCE
For r1 in regions (2 total):
\[ \href{#PRCE}{PRCE(r1)} = \href{#cd_eH}{cd\_eH(r1)} *\sum_{g21 \; \text{in} \; \href{#goods_e}{goods\_e}} { \left(\href{#delta_eH}{delta\_eH(g21,r1)} *ln{ \left( exp{ \left(\href{#PRY}{PRY(g21,r1)}\right) } *{(1+\href{#CTFDAV}{CTFDAV(g21,r1)})} +\frac{{(\href{#c_scalar}{c\_scalar(r1)} *{(\href{#TCPSFD}{TCPSFD(g21,r1)}+\href{#SCON}{SCON(r1)})} *\href{#co2coefFD}{co2coefFD(g21,r1)})}}{100}\right) }\right) } +\frac{{({(1-\href{#cd_eH}{cd\_eH(r1)})} *ln{ \left( \sum_{g21 \; \text{in} \; \href{#goods_e}{goods\_e}} { \left(\href{#delta_eH}{delta\_eH(g21,r1)} *{(exp{ \left(\href{#PRY}{PRY(g21,r1)}\right) } *{(1+\href{#CTFDAV}{CTFDAV(g21,r1)})} +\frac{{(\href{#c_scalar}{c\_scalar(r1)} *{(\href{#TCPSFD}{TCPSFD(g21,r1)}+\href{#SCON}{SCON(r1)})} *\href{#co2coefFD}{co2coefFD(g21,r1)})}}{100})} ^{(1-\href{#sigma_eH}{sigma\_eH(r1)})}\right) }\right) })}}{{(1 -\href{#sigma_eH}{sigma\_eH(r1)}*{(1-\href{#cd_eH}{cd\_eH(r1)})})}} \]
Equation 142: PRCO
For r1 in regions (2 total):
\[ \href{#PRCO}{PRCO(r1)} = \href{#cd_mH}{cd\_mH(r1)} *\sum_{g23 \; \text{in} \; \href{#goods_m}{goods\_m}} { \left(\href{#delta_mH}{delta\_mH(g23,r1)}*\href{#PRY}{PRY(g23,r1)}\right) } +\frac{{({(1-\href{#cd_mH}{cd\_mH(r1)})} *ln{ \left( \sum_{g23 \; \text{in} \; \href{#goods_m}{goods\_m}} { \left(\href{#delta_mH}{delta\_mH(g23,r1)} *exp{ \left(\href{#PRY}{PRY(g23,r1)}\right) } ^{(1-\href{#sigma_mH}{sigma\_mH(r1)})}\right) }\right) })}}{{(1 -\href{#sigma_mH}{sigma\_mH(r1)}*{(1-\href{#cd_mH}{cd\_mH(r1)})})}} \]
Equation 143: TAXE
For r1 in regions (2 total):
\[ \href{#TAXE}{TAXE(r1)} = \href{#RVGS}{RVGS(r1)}+\href{#RVCTAV}{RVCTAV(r1)} \]
Equation 144: TAXC
For r1 in regions (2 total):
\[ \href{#TAXC}{TAXC(r1)} = \href{#TCOR}{TCOR(r1)} *{(\sum_{s1 \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(\href{#PRF}{PRF(s1,r1)}\right) } +\href{#PRFY}{PRFY(r1)})} +\frac{{(\sum_{g20 \; \text{in} \; \href{#goods}{goods}} { \left(\href{#TAX}{TAX(g20,r1)} *exp{ \left(\href{#PRD}{PRD(g20,r1)}\right) } *\href{#OUG}{OUG(g20,r1)}\right) } +\sum_{g26 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(\href{#TAX}{TAX(g26,r1)} *exp{ \left(\href{#PMR}{PMR(g26,r1)}\right) } *\href{#IMQ}{IMQ(g26,r1)}\right) } -\sum_{s1 \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(\href{#TITC}{TITC(s1,r1)} *exp{ \left(\href{#PRII}{PRII(r1)}\right) } *\href{#INV}{INV(s1,r1)}\right) } -\sum_{g26 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(\href{#TAX}{TAX(g26,r1)} *exp{ \left(\href{#PRS}{PRS(g26,r1)}\right) } *\href{#EXQ}{EXQ(g26,r1)}\right) })}}{exp{ \left(\href{#PRID}{PRID(r1)}\right) }} \]
Equation 145: OUY
For g22 in goods_g, r1 in regions (16 total):
\[ \href{#OUY}{OUY(g22,r1)} = \href{#ELE}{ELE(g22,r1)} \]
Equation 146: OUG
For g22 in goods_g, r1 in regions (16 total):
\[ \href{#OUG}{OUG(g22,r1)} = \href{#OUY}{OUY(g22,r1)} \]
Equation 147: ELE
For g22 in goods_g, r1 in regions (16 total):
\[ \href{#ELE}{ELE(g22,r1)} = exp{ \left(\href{#SHY}{SHY(\text{a01},r1)}\right) } ^{(\href{#sigma_ed}{sigma\_ed(r1)}-1)} *\href{#delta_ed}{delta\_ed(r1,g22)} *\href{#OUP}{OUP(\text{a01},r1)} *\frac{exp{ \left(\href{#PRP}{PRP(\text{a01},r1)}\right) }}{exp{ \left(\href{#PRY}{PRY(g22,r1)}\right) }} ^\href{#sigma_ed}{sigma\_ed(r1)} \]
Equation 148: PRS
For g22 in goods_g, r1 in regions (16 total):
\[ \href{#PRS}{PRS(g22,r1)} = \href{#PRD}{PRD(g22,r1)} \]
Equation 149: PED
For r1 in regions (2 total):
\[ \href{#PED}{PED(r1)} = \href{#cd_ed}{cd\_ed(r1)} *\sum_{g22 \; \text{in} \; \href{#goods_g}{goods\_g}} { \left(\href{#delta_ed}{delta\_ed(r1,g22)}*\href{#PRY}{PRY(g22,r1)}\right) } +\frac{{({(1-\href{#cd_ed}{cd\_ed(r1)})} *ln{ \left( \sum_{g22 \; \text{in} \; \href{#goods_g}{goods\_g}} { \left(\href{#delta_ed}{delta\_ed(r1,g22)} *exp{ \left(\href{#PRY}{PRY(g22,r1)}\right) } ^{(1-\href{#sigma_ed}{sigma\_ed(r1)})}\right) }\right) })}}{{(1 -\href{#sigma_ed}{sigma\_ed(r1)}*{(1-\href{#cd_ed}{cd\_ed(r1)})})}} -\href{#SHY}{SHY(\text{a01},r1)} \]
Equation 150: PRP
For r1 in regions (2 total):
\[ \href{#PRP}{PRP(\text{a01},r1)} = \href{#PED}{PED(r1)} \]