G-Cubed model_22U_190

Sets:
NameElementsDescription
abroadUSA, JPN, AUS, EUW, GBR, CAN, NZL, CHN, IND, VNM, ROW, OILused in asset calculations
currencyUSA, JPN, AUS, EUW, GBR, CAN, NZL, CHN, IND, VNM, ROW, OILcurrency of assets
destUSA, JPN, AUS, EUW, GBR, CAN, NZL, CHN, IND, VNM, ROW, OILalias for regions
domforD, Fdomestic vs foreign
factorsK, L, E, Mtop tier factors of production
fgena13, a14, a15 
gas_CH2CH4Methane
gas_CO2CO2Carbon dioxide
gas_FCFCFlurocarbons
gas_N2ON2ONitrous oxide
gasesCO2, CH4, N2O, FCGreenhouse gases
good_coalg04coal
good_coal_generationg15coal electricity generation
good_constructiong06construction output
good_cropsg14crops
good_durable_manufacturingg09durable manufacturing
good_electricity_distributiong01electricity
good_gasg02natural gas
good_gas_generationg16gas electricity generation
good_hydro_generationg21hydro electricity generation
good_livestockg13livestock
good_nondurable_manufacturingg10non-durable manufacturing
good_nuclear_generationg18nuclear electricity generation
good_oilg05crude oil
good_oil_generationg17oil electricity generation
good_oil_refiningg03liquid fuels from oil-refining
good_other_agricultureg08agriculture
good_other_generationg22other electricity generation
good_other_miningg07other mining products
good_servicesg12services
good_solar_generationg20solar electricity generation
good_transportationg11transportation
good_wind_generationg19wind electricity generation
goodsg01, g02, g03, g04, g05, g06, g07, g08, g09, g10, g11, g12, g13, g14, g15, g16, g17, g18, g19, g20, g21, g22goods other than the capital-production goods Y - for firms, and Z - for households
goods_eg01, g02, g03, g04, g05energy goods
goods_gg15, g16, g17, g18, g19, g20, g21, g22electricity generation
goods_mg06, g07, g08, g09, g10, g11, g12, g13, g14material goods
goods_mcg06, g07, g08, g10, g11, g12, g13, g14Material goods less durable manufacturing - those material goods consumed directly
goods_ng06, g07, g08, g09, g10, g11, g12, g13, g14, g15, g16, g17, g18, g19, g20, g21, g22Non-energy goods
goods_og01, g02, g03, g04, g05, g06, g07, g08, g09, g10, g11, g12, g13, g14ordinary goods - those with standard treatment
goods_ocg01, g02, g03, g04, g05, g06, g07, g08, g10, g11, g12, g13, g14Ordinary goods less durable manufacturing - those ordinary goods consumed directly
notROWUSA, JPN, AUS, EUW, GBR, CAN, NZL, CHN, IND, VNM, OILused in CURR equation
notUSAJPN, AUS, EUW, GBR, CAN, NZL, CHN, IND, VNM, ROW, OILused with REXC equation
oecdUSA, JPN, AUS, EUW, GBR, CAN, NZLOECD countries
origUSA, JPN, AUS, EUW, GBR, CAN, NZL, CHN, IND, VNM, ROW, OILalias for regions
ownerUSA, JPN, AUS, EUW, GBR, CAN, NZL, CHN, IND, VNM, ROW, OILowner of assets ASSE
region_ADVNZLNew Zealand
region_AUSAUSAustralia
region_CANCANCanada
region_CHNCHNChina
region_EUWEUWWestern Europe
region_GBRGBRGreat Britain
region_INDINDIndia
region_JPNJPNJapan
region_OILOILOil exporting economies
region_ROWROWRest of World
region_USAUSAUnited States
region_VNMVNMVietnam
regionsUSA, JPN, AUS, EUW, GBR, CAN, NZL, CHN, IND, VNM, ROW, OILcountries and regions
sec_eda01electricity distribution
sec_stda02, a03, a04, a05, a06, a07, a08, a09, a10, a11, a12, a13, a14, a15, a16, a17, a18, a19, a20, a21, a22sectors with standard treatment
sector_coala04coal mining
sector_coal_generationa15coal electricity generation
sector_constructiona06construction
sector_cropsa14crops
sector_durable_manufacturinga09durable manufacturing
sector_gasa02gas extraction and utilities
sector_gas_generationa16gas electricity generation
sector_hydro_generationa21hydro electricity generation
sector_livestocka13livestock
sector_nondurable_manufacturinga10non-durable manufacturing
sector_nuclear_generationa18nuclear electricity generation
sector_oila05crude oil extraction
sector_oil_generationa17oil electricity generation
sector_oil_refininga03liquid fossil fuel refining
sector_other_agriculturea08other agriculture, forestry, fishing and hunting
sector_other_generationa22other electricity generation
sector_other_mininga07other mining
sector_servicesa12services
sector_solar_generationa20solar electricity generation
sector_transportationa11transportation
sector_wind_generationa19wind electricity generation
sector_YYYYindustrial capital
sector_ZZZZhousehold capital
sectorsa01, a02, a03, a04, a05, a06, a07, a08, a09, a10, a11, a12, a13, a14, a15, a16, a17, a18, a19, a20, a21, a22sectors other than the capital-production sectors Y - for firms, and Z - for households
sectors_ea01, a02, a03, a04, a05energy sectors
sectors_ga15, a16, a17, a18, a19, a20, a21, a22electricity generation sectors
sectors_ma06, a07, a08, a09, a10, a11, a12, a13, a14material sectors
sectors_na06, a07, a08, a09, a10, a11, a12, a13, a14, a15, a16, a17, a18, a19, a20, a21, a22Non-energy sectors
sectors_oa01, a02, a03, a04, a05, a06, a07, a08, a09, a10, a11, a12, a13, a14non electricity generation sectors
sectors_osa02, a03, a04, a05, a06, a07, a08, a09, a10, a11, a12, a13, a14Non electricity generation or distribution sectors
timet0Obsolete time set
varfacL, E, Mvariable factors
Variables:
NameDomainDescriptionUnitsLHSRHS
ABUYownernew purchases of foreign assetsend,gdp115116
ASSEcurrency, ownerassets in each currency, including ownsta,usgdp116116, 117, 82, 83
ASSUregionsassets held by region, in US$end,gdp117103
BCTgoods_o, dest, origunit border tax adjustmentdollar,exonone18, 37
BONDregionsbondsgdp,sta136103, 136, 137, 139, 140, 80
CAPsec_std, regionscapital stockgdp,sta5044, 50, 53, 54, 59, 6, 72
CAPYregionsraw invt capital stockgdp,sta51103, 45, 51, 55, 57, 60
CAPZregionshousehold capital stockgdp,sta52103, 46, 52, 56, 58, 61
CNPEregionshousehold demand for energyend,gdp85141, 70
CNPKregionshousehold capital servicesend,gdp87none
CNPLregionshousehold demand for laborend,gdp84104, 135, 34, 70, 80
CNPOregionshousehold demand for materialend,gdp86142, 70
CONgoods_oc, regionshousehold demand for goodsend,gdp141, 1421, 13, 14, 88
CONPregionsnational accounts consumptionend,gdp81123, 124, 46, 70, 84, 85, 86, 87, 97, 98
CURNregionsdomestic currency current account using nominal interest paymentsend,gdp101106, 107
CURRregionsUSD current account using real interest paymentsend,gdp102105, 115, 116
DEFIregionsfiscal deficit (real interest rates)end,gdp139105, 136, 140
DEFNregionsfiscal deficit (nominal interest rates)end,gdp140106
DEFXregionsfiscal deficit shocks (real interest rates)exo,gdpnonenone
ELEgoods_g, regionsdemand for G goodsend,gdp153151
EMGgases, regionstotal government emissionsend,mmtgdp1011
EMGIgases, goods_oc, regionsgovernment emissionsend,mmtgdp210
EMHgases, regionstotal household emissionsend,mmtgdp911
EMHIgases, goods_oc, regionshousehold emissionsend,mmtgdp19
EMRgases, regionsregion emissionsend,mmtgdp11none
EMSgases, sec_std, regionstotal sector emissionsend,mmtgdp811
EMSIgases, goods_oc, sec_std, regionsinput emissionsend,mmtgdp3, 48
EMSKgases, sec_std, regionscapital emissionsend,mmtgdp68
EMSLgases, sec_std, regionslabor emissionsend,mmtgdp58
EMSOgases, sec_std, regionsoutput emissionsend,mmtgdp78
ENsec_std, goods_e, regionssector demand for energy goodsend,gdp14313, 3
ENTsec_std, regionssector demand for energyend,gdp27143, 68
EPRCregionsexpected consumer price inflation rateend,intertemporal_constant,pct119125
EXCHregionsnominal ex. rate as US$ per LCUidx,logged,stl110, 12111, 113, 125, 17
EXCLregionsexch rate as US$ per LCU - laggedidx,lagged,logged,sta111125
EXCRregionscountry risk premium relative to USexo,pctnone112
EXCXregionsexchange rate target percentage changeexo,pctnone125
EXQgoods_o, regionsexports, EXP.xxend,gdp2213, 134, 14, 15, 150, 21
EXQTregionsvalue of exports at sourceend,gdp21108
EYGRregionsexpected output growthend,intertemporal_constant,pct118125
FDENgoods_e, regionsfinal demand for energy goodsend,gdp88none
GCEgoods_o, regionsgovernment purchases of goods and servicesend,gdp127, 128129, 13, 14, 15, 2
GCETregionsnational accounts government spending excluding laborend,gdp129123, 124, 130, 97, 98
GDPNregionsGDP, nominalend,gdp97125, 99
GDPRregionsGDP, realend,gdp98100, 99
GNENregionsGNE, nominalend,gdp123125
GNERregionsGNE, realend,gdp124none
GNPRregionsgross national productend,gdp100none
GOVLregionslabor used by governmentexo,gdpnone104, 130, 135, 34, 80
GOVSregionsgovernment spending excluding laborexo,gdpnone127, 128
GOVTregionsnational accounts government spending including laborend,gdp130139
IINgoods_o, regionsraw capital sector demand for goodsend,gdp32, 3313, 14, 15
IITEregionsraw capital sector demand for energyend,gdp3032, 69
IITLregionsraw capital sector demand for laborend,gdp29104, 135, 34, 69, 80
IITOregionsraw capital sector demand for materialend,gdp3133, 69
IMPgoods_o, dest, origindividual imports, IMP.xyend,exclude_dest_equals_orig,gdp18132, 19, 22
IMPXgoods_o, dest, origindividual imports shift exo,gdpnone18
IMQgoods_o, regionsDF imports by good, IMQ.xxend,gdp16150, 18, 19, 20
IMQTregionsvalue of imports at destinationend,gdp20108
INASregionsnominal USD net interest payments on foreign assetsend,gdp83101
INCMregionsafter tax household incomeend,gdp8081
INFCLregionshousehold materials inflation rateend,pct122125
INFLregionsconsumer price inflationend,pct120125
INFPregionsoutput price inflationend,pct94125
INFXregionsinflation targetexo,pctnone125
INSregions, goods_oshocks to aggregate investment demandexo,gdpnone123, 124, 13, 14, 15, 97, 98
INTFregionsrisk free interest rate, short-run, realend,pct9293
INTLregionsinterest rate, short-run, nominal (lagged)pct,sta126125
INTNregionsinterest rate, short (policy), nominalpct,stl125126, 140, 83, 91, 92
INTRregionsrisk adjusted interest rate, short-run, realend,pct93104, 112, 137, 139, 140, 59, 60, 61, 80, 82
INVsec_std, regionsraw investmentend,gdp53150, 54, 68, 74
INVPregionstotal investment by standard sectorsend,gdp7475
INVTregionstotal investment including by householdsend,gdp75105, 106, 107, 123, 124, 29, 30, 31, 45, 69, 97, 98
INVYregionsraw investmentend,gdp5569, 75
INVZregionshousehold investmentend,gdp56135, 70, 75
IRASregionsreal USD net interest payments on foreign assetsend,gdp82100, 102, 80
JNVsec_std, regionsinstalled investmentend,gdp5450, 59
JNVYregionsinstalled investment in the raw capital sectorend,gdp5751, 55, 60
JNVZregionsinstalled household investmentend,gdp5852, 56, 61
LABsec_std, regionssector demand for laborend,gdp26104, 135, 34, 5, 68, 80
LABOregionslabor demandend,gdp3447
LABXregionslabor supplyexo,gdpnone47
LAMsec_std, regionsmarginal value of a unit of capitalcos,intertemporal_constant,pct5959, 62, 72
LAMYregionsmarginal value of a unit of capital in the raw capital sectorcos,pct60103, 60, 63
LAMZregionsmarginal value of a unit of household capitalcos,pct61103, 61, 64
LGDPNregionsGDP, nominalexo,nomusdbillionnonenone
LGDPRregionsGDP, realexo,realusdbillionnonenone
MONEregionsmoney demandend,gdp,logged91103
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,logged113none
OIsec_std, goods_m, regionssector demand for material goodsend,gdp14414, 15, 4
OINsec_std, regionssector demand for materialsend,gdp28144, 68
OUGgoods, regionsdomestic supply of goodsend,gdp152, 24150, 25, 78
OUPsectors, regionsdomestic productionend,gdp25153, 26, 27, 28, 44, 68, 7
OUTLregionsaggregate output (lagged)gdp,lagged,sta79125
OUTPregionsaggregate outputets,gdp78118, 125, 131, 79, 91
OUTXregionsshock to output targetexo,pctnonenone
OUYgoods, regionscomposite supplyend,gdp13, 14, 15, 151152, 16, 24
PBAGregionsUSD value of permits sold through governmentexo,gdpnone136
PBALregionsvalue of permits sold, USDexo,gdpnone100, 101, 102
PEDregionsPrice of GWh before CECsend,idx,logged155156
PGDPregionsGDP implicit price deflatorend,idx,logged99none
PIMgoods_o, dest, origlanded price of importsend,idx,logged17132, 18, 19, 37
PMQgoods_o, regionsimport landed price indexend,idx,logged1920, 38
PMRgoods_o, regionsprice of imports incl tariffsend,idx,logged37150, 16, 18, 35
POIsec_std, regionssector price of materialsend,idx,logged146144, 28, 42, 68
PRCEregionshousehold price of energyend,idx,logged147141, 70, 85, 89
PRCLregionsaggregate price of consumer goods laggedidx,lagged,logged,sta95120, 47
PRCOregionshousehold price of materialend,idx,logged148121, 122, 142, 70, 86, 89
PRCOLregionshousehold price of material - laggedidx,lagged,logged,sta121122
PRCTregionsaggregate price of consumer goodsets,idx,logged89119, 120, 123, 125, 46, 47, 70, 81, 84, 85, 86, 87, 95, 97
PRDgoods, regionspost-tax price of goodsend,idx,logged41150, 154, 24, 35, 76, 78
PRDLregionsweighted price of domestic output lagidx,lagged,logged,sta9694
PRDXregionsshock to weighted price of domestic outputexo,pctnonenone
PREsec_std, regionssector price of energyend,idx,logged145143, 27, 42, 68
PRFsec_std, regionsshort run profitsend,gdp68150, 71
PRFTregionstotal economywide profitsend,gdp7180
PRFYregionsprofits on raw capital sectorend,gdp69150, 71
PRFZregionsimputed short run profits on household capitalend,gdp7080
PRGTregionsaggregate price of government goodsend,idx,logged90127, 128, 129, 97
PRIDregionsweighted price of domestic outputets,idx,logged76103, 104, 105, 106, 107, 110, 123, 125, 130, 132, 134, 135, 150, 59, 60, 61, 62, 63, 64, 68, 69, 70, 78, 80, 81, 91, 92, 94, 96, 97
PRIEregionsraw capital sector price of energyend,idx,logged3930, 32, 43, 69
PRIIregionsprice paid by producers for raw capitalend,idx,logged43105, 106, 107, 123, 135, 150, 29, 30, 31, 45, 59, 60, 61, 62, 63, 64, 68, 69, 70, 97
PRIMregionsweighted price of importsend,idx,logged3820
PRIXregionsweighted price of exportsend,idx,logged7721
PRKsec_std, regionsimplicit rental priceend,idx,logged4442, 59
PRKYregionsimplicit raw capital sector rental priceend,idx,logged4543, 60
PRKZregionsimplicit household rental priceend,idx,logged4661, 87, 89
PROIregionsraw capital sector price of materialend,idx,logged4031, 33, 43, 69
PRPsectors, regionspre-tax producer priceend,idx,logged156, 42153, 26, 27, 28, 41, 44, 68
PRSgoods, regionsproducer price of compositeend,idx,logged154, 35134, 150, 16, 23, 24, 36
PRXgoods_o, regionsprice of exports at sourceend,idx,logged2317, 21, 77
PRXXregionsshock to expected price of consumer goodsexo,pctnone47
PRYgoods, regionspurchase price of compositeend,idx,logged36127, 128, 129, 141, 142, 143, 144, 145, 146, 147, 148, 153, 155, 32, 33, 39, 40, 90
PTARregionsprice level targetexo,idx,loggednone125
RB10regionsinterest rate, 10-year, realend,pctnonenone
REERregionstrade-weighted real exch rate, FC/domesticend,idx,logged114none
REXBregion_CHNreal exchange rate without capital controls imposedidx,logged,stl158159
REXCregionsreal exchange rate as US$ per LCUcos,idx,intertemporal_constant,logged112112, 157, 158
REXLregion_CHNreal exchange rate without capital controls imposed - laggedidx,lagged,logged,sta159none
REXNregionsreal ex. rate as US$ per LCU with capital controlsend,idx,logged157100, 101, 103, 105, 109, 110, 114, 116, 117, 80, 82, 83
RISEsec_std, regionsequity risk premium by sector and regiondel,exonone59
RISHregionsrisk premium for human wealthdel,exonone104
RISRregionsrisk premium in the yield curvedel,exonone93
RISWregionsBlanchard probability of deathdel,exonone104, 81
RISYregionsrisk premium for raw-capital sector capitaldel,exonone60
RISZregionsrisk premium for household capitaldel,exonone61
ROGYregionspotential output growth targetexo,pctnone125
SAVIregionsreal domestic saving using real interest ratesend,gdp105none
SAVNregionsreal domestic saving using nominal interest ratesend,gdp106none
SAVTregionsdomestic non-government saving using nominal interest ratesend,gdp107none
SHEFsec_std, regionsautonomous energy efficiency improvementsexo,pctnone27, 42
SHEFCregionsconsumption autonomous energy efficiency improvementsexo,pctnone85, 89
SHKsec_std, regionsshock to capital efficiencyexo,pctnone42, 44
SHKCregionsshock to aggregate consumptionexo,gdpnone81
SHKIregions, sec_stdshock to inv equationexo,gdpnone53
SHKMregionsshock to money demandexo,pctnone91
SHLregions, sec_stdshock to labor due to labor-augmenting technical change and/or population growthexo,pctnone26, 42
SHLYregionsshock to raw capital sector labor due to labor-augmenting technical change and/or population growthexo,pctnone29, 43
SHLZregionsshock to household capital sector labor due to labor-augmenting technical change and/or population growthexo,pctnone84, 89
SHYsectors, regionsshock to total factor productivityexo,pctnone153, 155, 26, 27, 28, 42, 44
SHYYregionsshock to raw capital sector total factor productivityexo,pctnone29, 30, 31, 43, 45
SHYZregionsshock to household capital sector total factor productivityexo,pctnone46, 84, 85, 86, 87, 89
STMsec_std, regionsstock market valueend,gdp72103, 73
STMTregionstotal stock market valueend,gdp73none
TAXgoods, regionssales tax on compositeexo,pctnone150, 36
TAXCregionsrevenue from sales and company taxesend,gdp150138
TAXEregionsrevenue from externality taxesend,gdp149138
TAXHregionsrevenue from taxes on wagesend,gdp135104, 138
TAXLregionsrevenue from lump-sum taxesend,gdp137104, 138, 80
TAXMregionstariff revenueend,gdp133138
TAXSregionsexogenous lump sum taxexo,gdpnone137
TAXTregionstotal revenueend,gdp138139
TAXXregionsexternal tax revenueend,gdp134138
TBALregionstrade surplus, domestic currencyend,gdp108101, 109, 125, 97, 98
TBAUregionstrade surplus, USDend,gdp109102
TCORregionstax rate on corporate profitsexo,pctnone150, 59, 60, 80
TEXgoods, regionsextern tax on compositeexo,pctnone134, 23
TIFgoods_o, destfta tariff ratesexo,pctnone132, 18, 37
TIMgoods_o, dest, origmultilateral tariff ratesexo,pctnone132, 18, 37
TINCregionstax rate on labor incomeexo,pctnone135, 80
TITCsec_std, regionsinvestment tax credit rateexo,pctnone150, 59, 62, 68, 72
TITCHregionshouseholds investment tax credit rateexo,pctnone135, 61, 64, 70
TIXgoods_o, destmultilateral iceberg costsexo,pctnone18, 37
TOBsec_std, regionsmarginal q, TOB.NCend,pct6253, 65
TOBYregionsmarginal Q, raw capital sectorend,pct6357, 66
TOBZregionsmarginal Q, householdsend,pct6458, 67
TPAsec_std, regionspartial adjustment qpct,sta6553, 65
TPAYregionspartial adjustment Q, raw capital sectorpct,sta6657, 66
TPAZregionspartial adjustment Q, householdspct,sta6758, 67
TRANregionstotal transfersend,gdp131104, 139, 80
TRANXregionsexogenous transfersexo,gdpnone131
TXMgoods_o, desttariff revenue by goodend,gdp132133
WAGsec_std, regionssector wageend,idx,logged49104, 135, 26, 42, 68, 80
WAGEregionswage rateidx,intertemporal_constant,logged,sta47104, 125, 135, 29, 43, 47, 48, 49, 69, 70, 80, 84, 89
WAGGregionsgovernment wageend,idx,logged48104, 130, 135, 80
WELHregionshuman wealthcos,gdp,intertemporal_constant104103, 104
WELTregionstotal wealthend,gdp10381
YRATNregionsGDP ratio, nominalexo,pctnonenone
Parameters:
NameDomainDescription
adaptregionsrate of closure TOB-TPA gap
aeyecurrency, owneridentity matrix
ainvowner, abroadinverse of I-ashr
alph_rexregionsweight on shadow real exchange rate in CA intervention
ashrcurrency, ownerasset split among currencies
base_jksec_std, regionsbase J/K
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
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
government_emission_intensitygases, goods_oc, regionsemissions intensities for government
household_emission_intensitygases, goods_oc, regionsemissions intensities for households
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
sector_capital_emission_intensitygases, sec_std, regionssector capital emissions intensities
sector_input_emission_intensitygases, goods_oc, sec_std, regionssector input good emissions intensity
sector_labor_emission_intensitygases, sec_std, regionssector labor emissions intensities
sector_output_emission_intensitygases, sec_std, regionssector output emissions intensities
sigma_dfgoods_o, regionselasticity of substitution between domestic and foreign sources
sigma_esectors, regionssubs elast, E tier
sigma_edregionselasticity of substitution in the electricity distributio sector production function - 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: EMHI
For g4 in gases, g34 in goods_oc, r12 in regions (624 total):
\[ \href{#EMHI}{EMHI(g4,g34,r12)} = \href{#household_emission_intensity}{household\_emission\_intensity(g4,g34,r12)} *\href{#CON}{CON(g34,r12)} \]
Equation 2: EMGI
For g4 in gases, g34 in goods_oc, r12 in regions (624 total):
\[ \href{#EMGI}{EMGI(g4,g34,r12)} = \href{#government_emission_intensity}{government\_emission\_intensity(g4,g34,r12)} *\href{#GCE}{GCE(g34,r12)} \]
Equation 3: EMSI
For g4 in gases, g28 in goods_e, r12 in regions, s1 in sec_std (5040 total):
\[ \href{#EMSI}{EMSI(g4,g28,s1,r12)} = \href{#sector_input_emission_intensity}{sector\_input\_emission\_intensity(g4,g28,s1,r12)} *\href{#EN}{EN(s1,g28,r12)} \]
Equation 4: EMSI
For g4 in gases, g31 in goods_mc, r12 in regions, s1 in sec_std (8064 total):
\[ \href{#EMSI}{EMSI(g4,g31,s1,r12)} = \href{#sector_input_emission_intensity}{sector\_input\_emission\_intensity(g4,g31,s1,r12)} *\href{#OI}{OI(s1,g31,r12)} \]
Equation 5: EMSL
For g4 in gases, r12 in regions, s1 in sec_std (1008 total):
\[ \href{#EMSL}{EMSL(g4,s1,r12)} = \href{#sector_labor_emission_intensity}{sector\_labor\_emission\_intensity(g4,s1,r12)} *\href{#LAB}{LAB(s1,r12)} \]
Equation 6: EMSK
For g4 in gases, r12 in regions, s1 in sec_std (1008 total):
\[ \href{#EMSK}{EMSK(g4,s1,r12)} = \href{#sector_capital_emission_intensity}{sector\_capital\_emission\_intensity(g4,s1,r12)} *\href{#CAP}{CAP(s1,r12)} \]
Equation 7: EMSO
For g4 in gases, r12 in regions, s1 in sec_std (1008 total):
\[ \href{#EMSO}{EMSO(g4,s1,r12)} = \href{#sector_output_emission_intensity}{sector\_output\_emission\_intensity(g4,s1,r12)} *\href{#OUP}{OUP(s1,r12)} \]
Equation 8: EMS
For g4 in gases, r12 in regions, s1 in sec_std (1008 total):
\[ \href{#EMS}{EMS(g4,s1,r12)} = \sum_{g34 \; \text{in} \; \href{#goods_oc}{goods\_oc}} { \left(\href{#EMSI}{EMSI(g4,g34,s1,r12)}\right) } +\href{#EMSL}{EMSL(g4,s1,r12)} +\href{#EMSK}{EMSK(g4,s1,r12)} +\href{#EMSO}{EMSO(g4,s1,r12)} \]
Equation 9: EMH
For g4 in gases, r12 in regions (48 total):
\[ \href{#EMH}{EMH(g4,r12)} = \sum_{g34 \; \text{in} \; \href{#goods_oc}{goods\_oc}} { \left(\href{#EMHI}{EMHI(g4,g34,r12)}\right) } \]
Equation 10: EMG
For g4 in gases, r12 in regions (48 total):
\[ \href{#EMG}{EMG(g4,r12)} = \sum_{g34 \; \text{in} \; \href{#goods_oc}{goods\_oc}} { \left(\href{#EMGI}{EMGI(g4,g34,r12)}\right) } \]
Equation 11: EMR
For g4 in gases, r12 in regions (48 total):
\[ \href{#EMR}{EMR(g4,r12)} = \href{#EMH}{EMH(g4,r12)}+\href{#EMG}{EMG(g4,r12)} +\sum_{s1 \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(\href{#EMS}{EMS(g4,s1,r12)}\right) } \]
Equation 12: EXCH
\[ \href{#EXCH}{EXCH(\text{USA})} = 0 \]
Equation 13: OUY
For g28 in goods_e, r12 in regions (60 total):
\[ \href{#OUY}{OUY(g28,r12)} = \href{#CON}{CON(g28,r12)}+\href{#IIN}{IIN(g28,r12)} +\href{#INS}{INS(r12,g28)} +\href{#GCE}{GCE(g28,r12)} +\href{#EXQ}{EXQ(g28,r12)} +\sum_{s1 \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(\href{#EN}{EN(s1,g28,r12)}\right) } \]
Equation 14: OUY
For g31 in goods_mc, r12 in regions (96 total):
\[ \href{#OUY}{OUY(g31,r12)} = \href{#CON}{CON(g31,r12)}+\href{#IIN}{IIN(g31,r12)} +\href{#INS}{INS(r12,g31)} +\href{#GCE}{GCE(g31,r12)} +\href{#EXQ}{EXQ(g31,r12)} +\sum_{s1 \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(\href{#OI}{OI(s1,g31,r12)}\right) } \]
Equation 15: OUY
For g9 in good_durable_manufacturing, r12 in regions (12 total):
\[ \href{#OUY}{OUY(g9,r12)} = \href{#IIN}{IIN(g9,r12)}+\href{#INS}{INS(r12,g9)} +\href{#GCE}{GCE(g9,r12)} +\href{#EXQ}{EXQ(g9,r12)} +\sum_{s1 \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(\href{#OI}{OI(s1,g9,r12)}\right) } \]
Equation 16: IMQ
For g33 in goods_o, r12 in regions (168 total):
\[ \href{#IMQ}{IMQ(g33,r12)} = {(1-\href{#delta_dom}{delta\_dom(g33,r12)})} *\href{#OUY}{OUY(g33,r12)} *exp{ \left( \href{#PRS}{PRS(g33,r12)}-\href{#PMR}{PMR(g33,r12)}\right) } ^\href{#sigma_df}{sigma\_df(g33,r12)} \]
Equation 17: PIM
For d in dest, g33 in goods_o, o1 in orig (2016 total):
\[ \href{#PIM}{PIM(g33,d,o1)} = \href{#EXCH}{EXCH(o1)}+\href{#PRX}{PRX(g33,o1)} -\href{#EXCH}{EXCH(d)} \]
Equation 18: IMP
For d in dest, g33 in goods_o, o1 in orig (2016 total):
\[ \href{#IMP}{IMP(g33,d,o1)} = \href{#delta_ff}{delta\_ff(g33,d,o1)}*\href{#IMQ}{IMQ(g33,d)} *{(\href{#BCT}{BCT(g33,d,o1)} +{(1 +{(\href{#TIM}{TIM(g33,d,o1)}+\href{#TIX}{TIX(g33,d)})} *\href{#MUL}{MUL(d,o1)} +\href{#TIF}{TIF(g33,d)}*\href{#FTA}{FTA(d,o1)})} *exp{ \left( \href{#PIM}{PIM(g33,d,o1)}-\href{#PMR}{PMR(g33,d)}\right) })} ^{(-\href{#sigma_ff}{sigma\_ff(g33,d)})} +\href{#IMPX}{IMPX(g33,d,o1)} \]
Equation 19: PMQ
For d in dest, g33 in goods_o (168 total):
\[ \href{#PMQ}{PMQ(g33,d)} = ln{ \left( \frac{\sum_{o1 \; \text{in} \; \href{#orig}{orig}} { \left(\href{#IMP}{IMP(g33,d,o1)} *exp{ \left(\href{#PIM}{PIM(g33,d,o1)}\right) }\right) }}{\href{#IMQ}{IMQ(g33,d)}}\right) } \]
Equation 20: IMQT
For r12 in regions (12 total):
\[ \href{#IMQT}{IMQT(r12)} = \frac{\sum_{g33 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(exp{ \left(\href{#PMQ}{PMQ(g33,r12)}\right) } *\href{#IMQ}{IMQ(g33,r12)}\right) }}{exp{ \left(\href{#PRIM}{PRIM(r12)}\right) }} \]
Equation 21: EXQT
For r12 in regions (12 total):
\[ \href{#EXQT}{EXQT(r12)} = \frac{\sum_{g33 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(exp{ \left(\href{#PRX}{PRX(g33,r12)}\right) } *\href{#EXQ}{EXQ(g33,r12)}\right) }}{exp{ \left(\href{#PRIX}{PRIX(r12)}\right) }} \]
Equation 22: EXQ
For g33 in goods_o, o1 in orig (168 total):
\[ \href{#EXQ}{EXQ(g33,o1)} = \sum_{d \; \text{in} \; \href{#dest}{dest}} { \left(\href{#IMP}{IMP(g33,d,o1)}\right) } \]
Equation 23: PRX
For g33 in goods_o, r12 in regions (168 total):
\[ \href{#PRX}{PRX(g33,r12)} = ln{ \left( {(1+\href{#TEX}{TEX(g33,r12)})} *exp{ \left(\href{#PRS}{PRS(g33,r12)}\right) }\right) } \]
Equation 24: OUG
For g33 in goods_o, r12 in regions (168 total):
\[ \href{#OUG}{OUG(g33,r12)} = \href{#delta_dom}{delta\_dom(g33,r12)}*\href{#OUY}{OUY(g33,r12)} *exp{ \left( \href{#PRS}{PRS(g33,r12)}-\href{#PRD}{PRD(g33,r12)}\right) } ^\href{#sigma_df}{sigma\_df(g33,r12)} \]
Equation 25: OUP
For r12 in regions, s25 in sectors (264 total):
\[ \href{#OUP}{OUP(s25,r12)} = \sum_{g27 \; \text{in} \; \href{#goods}{goods}} { \left(\href{#makeinv}{makeinv(g27,s25,r12)}*\href{#OUG}{OUG(g27,r12)}\right) } \]
Equation 26: LAB
For r12 in regions, s1 in sec_std (252 total):
\[ \href{#LAB}{LAB(s1,r12)} = exp{ \left( \href{#SHL}{SHL(r12,s1)}+\href{#SHY}{SHY(s1,r12)}\right) } ^{(\href{#sigma_o}{sigma\_o(s1,r12)}-1)} *\href{#delta_o}{delta\_o(\text{l},s1,r12)} *\href{#OUP}{OUP(s1,r12)} *exp{ \left( \href{#PRP}{PRP(s1,r12)}-\href{#WAG}{WAG(s1,r12)}\right) } ^\href{#sigma_o}{sigma\_o(s1,r12)} \]
Equation 27: ENT
For r12 in regions, s1 in sec_std (252 total):
\[ \href{#ENT}{ENT(s1,r12)} = exp{ \left( \href{#SHEF}{SHEF(s1,r12)}+\href{#SHY}{SHY(s1,r12)}\right) } ^{(\href{#sigma_o}{sigma\_o(s1,r12)}-1)} *\href{#delta_o}{delta\_o(\text{e},s1,r12)} *\href{#OUP}{OUP(s1,r12)} *exp{ \left( \href{#PRP}{PRP(s1,r12)}-\href{#PRE}{PRE(s1,r12)}\right) } ^\href{#sigma_o}{sigma\_o(s1,r12)} \]
Equation 28: OIN
For r12 in regions, s1 in sec_std (252 total):
\[ \href{#OIN}{OIN(s1,r12)} = exp{ \left(\href{#SHY}{SHY(s1,r12)}\right) } ^{(\href{#sigma_o}{sigma\_o(s1,r12)}-1)} *\href{#delta_o}{delta\_o(\text{m},s1,r12)} *\href{#OUP}{OUP(s1,r12)} *exp{ \left( \href{#PRP}{PRP(s1,r12)}-\href{#POI}{POI(s1,r12)}\right) } ^\href{#sigma_o}{sigma\_o(s1,r12)} \]
Equation 29: IITL
For r12 in regions (12 total):
\[ \href{#IITL}{IITL(r12)} = exp{ \left( \href{#SHLY}{SHLY(r12)}+\href{#SHYY}{SHYY(r12)}\right) } ^{(\href{#sigma_oR}{sigma\_oR(r12)}-1)} *\href{#delta_oR}{delta\_oR(\text{l},r12)} *\href{#INVT}{INVT(r12)} *exp{ \left( \href{#PRII}{PRII(r12)}-\href{#WAGE}{WAGE(r12)}\right) } ^\href{#sigma_oR}{sigma\_oR(r12)} \]
Equation 30: IITE
For r12 in regions (12 total):
\[ \href{#IITE}{IITE(r12)} = exp{ \left(\href{#SHYY}{SHYY(r12)}\right) } ^{(\href{#sigma_oR}{sigma\_oR(r12)}-1)} *\href{#delta_oR}{delta\_oR(\text{e},r12)} *\href{#INVT}{INVT(r12)} *exp{ \left( \href{#PRII}{PRII(r12)}-\href{#PRIE}{PRIE(r12)}\right) } ^\href{#sigma_oR}{sigma\_oR(r12)} \]
Equation 31: IITO
For r12 in regions (12 total):
\[ \href{#IITO}{IITO(r12)} = exp{ \left(\href{#SHYY}{SHYY(r12)}\right) } ^{(\href{#sigma_oR}{sigma\_oR(r12)}-1)} *\href{#delta_oR}{delta\_oR(\text{m},r12)} *\href{#INVT}{INVT(r12)} *exp{ \left( \href{#PRII}{PRII(r12)}-\href{#PROI}{PROI(r12)}\right) } ^\href{#sigma_oR}{sigma\_oR(r12)} \]
Equation 32: IIN
For g28 in goods_e, r12 in regions (60 total):
\[ \href{#IIN}{IIN(g28,r12)} = \href{#delta_eR}{delta\_eR(g28,r12)}*\href{#IITE}{IITE(r12)} *exp{ \left( \href{#PRIE}{PRIE(r12)}-\href{#PRY}{PRY(g28,r12)}\right) } ^\href{#sigma_eR}{sigma\_eR(r12)} \]
Equation 33: IIN
For g30 in goods_m, r12 in regions (108 total):
\[ \href{#IIN}{IIN(g30,r12)} = \href{#delta_mR}{delta\_mR(g30,r12)}*\href{#IITO}{IITO(r12)} *exp{ \left( \href{#PROI}{PROI(r12)}-\href{#PRY}{PRY(g30,r12)}\right) } ^\href{#sigma_mR}{sigma\_mR(r12)} \]
Equation 34: LABO
For r12 in regions (12 total):
\[ \href{#LABO}{LABO(r12)} = \href{#IITL}{IITL(r12)}+\href{#CNPL}{CNPL(r12)} +\href{#GOVL}{GOVL(r12)} +\sum_{s1 \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(\href{#LAB}{LAB(s1,r12)}\right) } \]
Equation 35: PRS
For g33 in goods_o, r12 in regions (168 total):
\[ \href{#PRS}{PRS(g33,r12)} = \href{#cd_df}{cd\_df(g33,r12)} *{(\href{#delta_dom}{delta\_dom(g33,r12)}*\href{#PRD}{PRD(g33,r12)} +{(1-\href{#delta_dom}{delta\_dom(g33,r12)})} *\href{#PMR}{PMR(g33,r12)})} +\frac{{({(1-\href{#cd_df}{cd\_df(g33,r12)})} *ln{ \left( \href{#delta_dom}{delta\_dom(g33,r12)} *exp{ \left(\href{#PRD}{PRD(g33,r12)}\right) } ^{(1-\href{#sigma_df}{sigma\_df(g33,r12)})} +{(1-\href{#delta_dom}{delta\_dom(g33,r12)})} *exp{ \left(\href{#PMR}{PMR(g33,r12)}\right) } ^{(1-\href{#sigma_df}{sigma\_df(g33,r12)})}\right) })}}{{(1 -\href{#sigma_df}{sigma\_df(g33,r12)} *{(1-\href{#cd_df}{cd\_df(g33,r12)})})}} \]
Equation 36: PRY
For g27 in goods, r12 in regions (264 total):
\[ \href{#PRY}{PRY(g27,r12)} = ln{ \left(1+\href{#TAX}{TAX(g27,r12)}\right) } +\href{#PRS}{PRS(g27,r12)} \]
Equation 37: PMR
For d in dest, g33 in goods_o (168 total):
\[ \href{#PMR}{PMR(g33,d)} = 0.0 +\href{#cd_ff}{cd\_ff(g33,d)} *\sum_{o1 \; \text{in} \; \href{#orig}{orig}} { \left(\href{#delta_ff}{delta\_ff(g33,d,o1)} *ln{ \left( \href{#BCT}{BCT(g33,d,o1)} +{(1 +{(\href{#TIM}{TIM(g33,d,o1)}+\href{#TIX}{TIX(g33,d)})} *\href{#MUL}{MUL(d,o1)} +\href{#TIF}{TIF(g33,d)}*\href{#FTA}{FTA(d,o1)})} *exp{ \left(\href{#PIM}{PIM(g33,d,o1)}\right) }\right) }\right) } +\frac{{({(1-\href{#cd_ff}{cd\_ff(g33,d)})} *ln{ \left( \sum_{o1 \; \text{in} \; \href{#orig}{orig}} { \left(\href{#delta_ff}{delta\_ff(g33,d,o1)} *{(\href{#BCT}{BCT(g33,d,o1)} +{(1 +{(\href{#TIM}{TIM(g33,d,o1)}+\href{#TIX}{TIX(g33,d)})} *\href{#MUL}{MUL(d,o1)} +\href{#TIF}{TIF(g33,d)}*\href{#FTA}{FTA(d,o1)})} *exp{ \left(\href{#PIM}{PIM(g33,d,o1)}\right) })} ^{(1-\href{#sigma_ff}{sigma\_ff(g33,d)})}\right) }\right) })}}{{(1 -\href{#sigma_ff}{sigma\_ff(g33,d)}*{(1-\href{#cd_ff}{cd\_ff(g33,d)})})}} \]
Equation 38: PRIM
For r12 in regions (12 total):
\[ \href{#PRIM}{PRIM(r12)} = \sum_{g33 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(\href{#prim_weight}{prim\_weight(g33,r12)} *\href{#PMQ}{PMQ(g33,r12)}\right) } \]
Equation 39: PRIE
For r12 in regions (12 total):
\[ \href{#PRIE}{PRIE(r12)} = \href{#cd_eR}{cd\_eR(r12)} *\sum_{g28 \; \text{in} \; \href{#goods_e}{goods\_e}} { \left(\href{#delta_eR}{delta\_eR(g28,r12)}*\href{#PRY}{PRY(g28,r12)}\right) } +\frac{{({(1-\href{#cd_eR}{cd\_eR(r12)})} *ln{ \left( \sum_{g28 \; \text{in} \; \href{#goods_e}{goods\_e}} { \left(\href{#delta_eR}{delta\_eR(g28,r12)} *exp{ \left(\href{#PRY}{PRY(g28,r12)}\right) } ^{(1-\href{#sigma_eR}{sigma\_eR(r12)})}\right) }\right) })}}{{(1 -\href{#sigma_eR}{sigma\_eR(r12)}*{(1-\href{#cd_eR}{cd\_eR(r12)})})}} \]
Equation 40: PROI
For r12 in regions (12 total):
\[ \href{#PROI}{PROI(r12)} = \href{#cd_mR}{cd\_mR(r12)} *\sum_{g30 \; \text{in} \; \href{#goods_m}{goods\_m}} { \left(\href{#delta_mR}{delta\_mR(g30,r12)}*\href{#PRY}{PRY(g30,r12)}\right) } +\frac{{({(1-\href{#cd_mR}{cd\_mR(r12)})} *ln{ \left( \sum_{g30 \; \text{in} \; \href{#goods_m}{goods\_m}} { \left(\href{#delta_mR}{delta\_mR(g30,r12)} *exp{ \left(\href{#PRY}{PRY(g30,r12)}\right) } ^{(1-\href{#sigma_mR}{sigma\_mR(r12)})}\right) }\right) })}}{{(1 -\href{#sigma_mR}{sigma\_mR(r12)}*{(1-\href{#cd_mR}{cd\_mR(r12)})})}} \]
Equation 41: PRD
For g27 in goods, r12 in regions (264 total):
\[ \href{#PRD}{PRD(g27,r12)} = ln{ \left( exp{ \left( \sum_{s25 \; \text{in} \; \href{#sectors}{sectors}} { \left(\href{#makeinv}{makeinv(g27,s25,r12)}*\href{#PRP}{PRP(s25,r12)}\right) }\right) }\right) } \]
Equation 42: PRP
For r12 in regions, s1 in sec_std (252 total):
\[ \href{#PRP}{PRP(s1,r12)} = \href{#cd_o}{cd\_o(s1,r12)} *{(\href{#delta_o}{delta\_o(\text{k},s1,r12)} *\href{#PRK}{PRK(s1,r12)} +\href{#delta_o}{delta\_o(\text{l},s1,r12)} *\href{#WAG}{WAG(s1,r12)} +\href{#delta_o}{delta\_o(\text{e},s1,r12)} *\href{#PRE}{PRE(s1,r12)} +\href{#delta_o}{delta\_o(\text{m},s1,r12)} *\href{#POI}{POI(s1,r12)} -\href{#delta_o}{delta\_o(\text{l},s1,r12)} *\href{#SHL}{SHL(r12,s1)} -\href{#delta_o}{delta\_o(\text{k},s1,r12)} *\href{#SHK}{SHK(s1,r12)} -\href{#delta_o}{delta\_o(\text{e},s1,r12)} *\href{#SHEF}{SHEF(s1,r12)})} +\frac{{({(1-\href{#cd_o}{cd\_o(s1,r12)})} *ln{ \left( \href{#delta_o}{delta\_o(\text{k},s1,r12)} *exp{ \left( \href{#PRK}{PRK(s1,r12)}-\href{#SHK}{SHK(s1,r12)}\right) } ^{(1-\href{#sigma_o}{sigma\_o(s1,r12)})} +\href{#delta_o}{delta\_o(\text{l},s1,r12)} *exp{ \left( \href{#WAG}{WAG(s1,r12)}-\href{#SHL}{SHL(r12,s1)}\right) } ^{(1-\href{#sigma_o}{sigma\_o(s1,r12)})} +\href{#delta_o}{delta\_o(\text{e},s1,r12)} *exp{ \left( \href{#PRE}{PRE(s1,r12)}-\href{#SHEF}{SHEF(s1,r12)}\right) } ^{(1-\href{#sigma_o}{sigma\_o(s1,r12)})} +\href{#delta_o}{delta\_o(\text{m},s1,r12)} *exp{ \left(\href{#POI}{POI(s1,r12)}\right) } ^{(1-\href{#sigma_o}{sigma\_o(s1,r12)})}\right) })}}{{(1 -\href{#sigma_o}{sigma\_o(s1,r12)}*{(1-\href{#cd_o}{cd\_o(s1,r12)})})}} -\href{#SHY}{SHY(s1,r12)} \]
Equation 43: PRII
For r12 in regions (12 total):
\[ \href{#PRII}{PRII(r12)} = \href{#cd_oR}{cd\_oR(r12)} *{(\href{#delta_oR}{delta\_oR(\text{k},r12)} *\href{#PRKY}{PRKY(r12)} +\href{#delta_oR}{delta\_oR(\text{l},r12)} *\href{#WAGE}{WAGE(r12)} +\href{#delta_oR}{delta\_oR(\text{e},r12)} *\href{#PRIE}{PRIE(r12)} +\href{#delta_oR}{delta\_oR(\text{m},r12)} *\href{#PROI}{PROI(r12)} -\href{#delta_oR}{delta\_oR(\text{l},r12)} *\href{#SHLY}{SHLY(r12)})} +\frac{{({(1-\href{#cd_oR}{cd\_oR(r12)})} *ln{ \left( \href{#delta_oR}{delta\_oR(\text{k},r12)} *exp{ \left(\href{#PRKY}{PRKY(r12)}\right) } ^{(1-\href{#sigma_oR}{sigma\_oR(r12)})} +\href{#delta_oR}{delta\_oR(\text{l},r12)} *exp{ \left( \href{#WAGE}{WAGE(r12)}-\href{#SHLY}{SHLY(r12)}\right) } ^{(1-\href{#sigma_oR}{sigma\_oR(r12)})} +\href{#delta_oR}{delta\_oR(\text{e},r12)} *exp{ \left(\href{#PRIE}{PRIE(r12)}\right) } ^{(1-\href{#sigma_oR}{sigma\_oR(r12)})} +\href{#delta_oR}{delta\_oR(\text{m},r12)} *exp{ \left(\href{#PROI}{PROI(r12)}\right) } ^{(1-\href{#sigma_oR}{sigma\_oR(r12)})}\right) })}}{{(1 -\href{#sigma_oR}{sigma\_oR(r12)}*{(1-\href{#cd_oR}{cd\_oR(r12)})})}} -\href{#SHYY}{SHYY(r12)} \]
Equation 44: PRK
For r12 in regions, s1 in sec_std (252 total):
\[ \href{#PRK}{PRK(s1,r12)} = \href{#PRP}{PRP(s1,r12)} +\frac{ln{ \left( \frac{{(\href{#delta_o}{delta\_o(\text{k},s1,r12)} *\href{#OUP}{OUP(s1,r12)})}}{\href{#CAP}{CAP(s1,r12)}}\right) }}{\href{#sigma_o}{sigma\_o(s1,r12)}} +\frac{{({(\href{#SHY}{SHY(s1,r12)}+\href{#SHK}{SHK(s1,r12)})} *{(\href{#sigma_o}{sigma\_o(s1,r12)}-1)})}}{\href{#sigma_o}{sigma\_o(s1,r12)}} \]
Equation 45: PRKY
For r12 in regions (12 total):
\[ \href{#PRKY}{PRKY(r12)} = \href{#PRII}{PRII(r12)} +\frac{ln{ \left( \frac{{(\href{#delta_oR}{delta\_oR(\text{k},r12)} *\href{#INVT}{INVT(r12)})}}{\href{#CAPY}{CAPY(r12)}}\right) }}{\href{#sigma_oR}{sigma\_oR(r12)}} +\frac{{(\href{#SHYY}{SHYY(r12)}*{(\href{#sigma_oR}{sigma\_oR(r12)}-1)})}}{\href{#sigma_oR}{sigma\_oR(r12)}} \]
Equation 46: PRKZ
For r12 in regions (12 total):
\[ \href{#PRKZ}{PRKZ(r12)} = \href{#PRCT}{PRCT(r12)} +\frac{ln{ \left( \frac{{(\href{#delta_oH}{delta\_oH(\text{k},r12)} *\href{#CONP}{CONP(r12)})}}{\href{#CAPZ}{CAPZ(r12)}}\right) }}{\href{#sigma_oH}{sigma\_oH(r12)}} +\frac{{(\href{#SHYZ}{SHYZ(r12)}*{(\href{#sigma_oH}{sigma\_oH(r12)}-1)})}}{\href{#sigma_oH}{sigma\_oH(r12)}} \]
Equation 47: WAGE
For r12 in regions (12 total):
\[ lead({\href{#WAGE}{WAGE(r12)}}) = \href{#WAGE}{WAGE(r12)} +\href{#wage_p}{wage\_p(r12)} *{(lead({\href{#PRCT}{PRCT(r12)}})+\href{#PRXX}{PRXX(r12)} -\href{#PRCT}{PRCT(r12)})} +{(1-\href{#wage_p}{wage\_p(r12)})} *{(\href{#PRCT}{PRCT(r12)}-\href{#PRCL}{PRCL(r12)})} +\href{#wage_q}{wage\_q(r12)} *{(ln{ \left(\href{#LABO}{LABO(r12)}\right) } -ln{ \left(\href{#LABX}{LABX(r12)}\right) })} \]
Equation 48: WAGG
For r12 in regions (12 total):
\[ \href{#WAGG}{WAGG(r12)} = \href{#WAGE}{WAGE(r12)} \]
Equation 49: WAG
For r12 in regions, s1 in sec_std (252 total):
\[ \href{#WAG}{WAG(s1,r12)} = \href{#WAGE}{WAGE(r12)} \]
Equation 50: CAP
For r12 in regions, s1 in sec_std (252 total):
\[ lead({\href{#CAP}{CAP(s1,r12)}}) = \href{#JNV}{JNV(s1,r12)} +{(1-\href{#delta}{delta(r12)}-\href{#labgrow}{labgrow(r12)})} *\href{#CAP}{CAP(s1,r12)} \]
Equation 51: CAPY
For r12 in regions (12 total):
\[ lead({\href{#CAPY}{CAPY(r12)}}) = \href{#JNVY}{JNVY(r12)} +{(1-\href{#delta}{delta(r12)}-\href{#labgrow}{labgrow(r12)})} *\href{#CAPY}{CAPY(r12)} \]
Equation 52: CAPZ
For r12 in regions (12 total):
\[ lead({\href{#CAPZ}{CAPZ(r12)}}) = \href{#JNVZ}{JNVZ(r12)} +{(1-\href{#delta}{delta(r12)}-\href{#labgrow}{labgrow(r12)})} *\href{#CAPZ}{CAPZ(r12)} \]
Equation 53: INV
For r12 in regions, s1 in sec_std (252 total):
\[ \href{#INV}{INV(s1,r12)} = \frac{{({(1+.5*{(\href{#TOB}{TOB(s1,r12)}-1)})}*{(\href{#TOB}{TOB(s1,r12)}-1)} *\href{#CAP}{CAP(s1,r12)})}}{\href{#phi}{phi(s1,r12)}} *\href{#forei}{forei(s1,r12)} +\frac{{({(1+.5*{(\href{#TPA}{TPA(s1,r12)}-1)})}*{(\href{#TPA}{TPA(s1,r12)}-1)} *\href{#CAP}{CAP(s1,r12)})}}{\href{#phi}{phi(s1,r12)}} *{(1-\href{#forei}{forei(s1,r12)})} +\href{#SHKI}{SHKI(r12,s1)} \]
Equation 54: JNV
For r12 in regions, s1 in sec_std (252 total):
\[ \href{#JNV}{JNV(s1,r12)} = \frac{{(\href{#INV}{INV(s1,r12)} +\frac{\href{#phi}{phi(s1,r12)}}{2}*\href{#base_jk}{base\_jk(s1,r12)}^2 *\href{#CAP}{CAP(s1,r12)})}}{{(1 +\href{#phi}{phi(s1,r12)}*\href{#base_jk}{base\_jk(s1,r12)})}} \]
Equation 55: INVY
For r12 in regions (12 total):
\[ \href{#INVY}{INVY(r12)} = \href{#JNVY}{JNVY(r12)} *{(1 +\frac{{(\frac{\href{#phi_y}{phi\_y(r12)}}{2}*\href{#JNVY}{JNVY(r12)})}}{\href{#CAPY}{CAPY(r12)}})} \]
Equation 56: INVZ
For r12 in regions (12 total):
\[ \href{#INVZ}{INVZ(r12)} = \href{#JNVZ}{JNVZ(r12)} *{(1 +\frac{{(\frac{\href{#phi_z}{phi\_z(r12)}}{2}*\href{#JNVZ}{JNVZ(r12)})}}{\href{#CAPZ}{CAPZ(r12)}})} \]
Equation 57: JNVY
For r12 in regions (12 total):
\[ \href{#JNVY}{JNVY(r12)} = \frac{{(\href{#CAPY}{CAPY(r12)} *{(\href{#fore_i_y}{fore\_i\_y(r12)}*\href{#TOBY}{TOBY(r12)} +{(1-\href{#fore_i_y}{fore\_i\_y(r12)})}*\href{#TPAY}{TPAY(r12)} -1)})}}{\href{#phi_y}{phi\_y(r12)}} \]
Equation 58: JNVZ
For r12 in regions (12 total):
\[ \href{#JNVZ}{JNVZ(r12)} = \frac{{(\href{#CAPZ}{CAPZ(r12)} *{(\href{#fore_i_z}{fore\_i\_z(r12)}*\href{#TOBZ}{TOBZ(r12)} +{(1-\href{#fore_i_z}{fore\_i\_z(r12)})}*\href{#TPAZ}{TPAZ(r12)} -1)})}}{\href{#phi_z}{phi\_z(r12)}} \]
Equation 59: LAM
For r12 in regions, s1 in sec_std (252 total):
\[ lead({\href{#LAM}{LAM(s1,r12)}}) = {(1+\href{#INTR}{INTR(r12)}+\href{#RISE}{RISE(s1,r12)} +\href{#delta}{delta(r12)})} *\href{#LAM}{LAM(s1,r12)} -{(1-\href{#TCOR}{TCOR(r12)})} *exp{ \left( \href{#PRK}{PRK(s1,r12)}-\href{#PRID}{PRID(r12)}\right) } -{(1-\href{#TITC}{TITC(s1,r12)})} *exp{ \left( \href{#PRII}{PRII(r12)}-\href{#PRID}{PRID(r12)}\right) } *\frac{\href{#phi}{phi(s1,r12)}}{2} *\frac{\href{#JNV}{JNV(s1,r12)}}{\href{#CAP}{CAP(s1,r12)}} ^2 \]
Equation 60: LAMY
For r12 in regions (12 total):
\[ lead({\href{#LAMY}{LAMY(r12)}}) = {(1+\href{#INTR}{INTR(r12)}+\href{#RISY}{RISY(r12)} +\href{#delta}{delta(r12)})} *\href{#LAMY}{LAMY(r12)} -{(1-\href{#TCOR}{TCOR(r12)})} *exp{ \left( \href{#PRKY}{PRKY(r12)}-\href{#PRID}{PRID(r12)}\right) } -exp{ \left( \href{#PRII}{PRII(r12)}-\href{#PRID}{PRID(r12)}\right) } *\frac{\href{#phi_y}{phi\_y(r12)}}{2} *\frac{\href{#JNVY}{JNVY(r12)}}{\href{#CAPY}{CAPY(r12)}} ^2 \]
Equation 61: LAMZ
For r12 in regions (12 total):
\[ lead({\href{#LAMZ}{LAMZ(r12)}}) = {(1+\href{#INTR}{INTR(r12)}+\href{#RISZ}{RISZ(r12)} +\href{#delta}{delta(r12)})} *\href{#LAMZ}{LAMZ(r12)} -exp{ \left( \href{#PRKZ}{PRKZ(r12)}-\href{#PRID}{PRID(r12)}\right) } -{(1-\href{#TITCH}{TITCH(r12)})} *exp{ \left( \href{#PRII}{PRII(r12)}-\href{#PRID}{PRID(r12)}\right) } *\frac{\href{#phi_z}{phi\_z(r12)}}{2} *\frac{\href{#JNVZ}{JNVZ(r12)}}{\href{#CAPZ}{CAPZ(r12)}} ^2 \]
Equation 62: TOB
For r12 in regions, s1 in sec_std (252 total):
\[ \href{#TOB}{TOB(s1,r12)} = \frac{{(\href{#LAM}{LAM(s1,r12)} *exp{ \left( \href{#PRID}{PRID(r12)}-\href{#PRII}{PRII(r12)}\right) })}}{{(1-\href{#TITC}{TITC(s1,r12)})}} \]
Equation 63: TOBY
For r12 in regions (12 total):
\[ \href{#TOBY}{TOBY(r12)} = \href{#LAMY}{LAMY(r12)} *exp{ \left( \href{#PRID}{PRID(r12)}-\href{#PRII}{PRII(r12)}\right) } \]
Equation 64: TOBZ
For r12 in regions (12 total):
\[ \href{#TOBZ}{TOBZ(r12)} = \frac{{(\href{#LAMZ}{LAMZ(r12)} *exp{ \left( \href{#PRID}{PRID(r12)}-\href{#PRII}{PRII(r12)}\right) })}}{{(1-\href{#TITCH}{TITCH(r12)})}} \]
Equation 65: TPA
For r12 in regions, s1 in sec_std (252 total):
\[ lead({\href{#TPA}{TPA(s1,r12)}}) = \href{#TPA}{TPA(s1,r12)} +\href{#adapt}{adapt(r12)} *{(\href{#TOB}{TOB(s1,r12)}-\href{#TPA}{TPA(s1,r12)})} \]
Equation 66: TPAY
For r12 in regions (12 total):
\[ lead({\href{#TPAY}{TPAY(r12)}}) = \href{#TPAY}{TPAY(r12)} +\href{#adapt}{adapt(r12)} *{(\href{#TOBY}{TOBY(r12)}-\href{#TPAY}{TPAY(r12)})} \]
Equation 67: TPAZ
For r12 in regions (12 total):
\[ lead({\href{#TPAZ}{TPAZ(r12)}}) = \href{#TPAZ}{TPAZ(r12)} +\href{#adapt}{adapt(r12)} *{(\href{#TOBZ}{TOBZ(r12)}-\href{#TPAZ}{TPAZ(r12)})} \]
Equation 68: PRF
For r12 in regions, s1 in sec_std (252 total):
\[ \href{#PRF}{PRF(s1,r12)} = \frac{{(\href{#OUP}{OUP(s1,r12)} *exp{ \left(\href{#PRP}{PRP(s1,r12)}\right) } -\href{#ENT}{ENT(s1,r12)} *exp{ \left(\href{#PRE}{PRE(s1,r12)}\right) } -\href{#LAB}{LAB(s1,r12)} *exp{ \left(\href{#WAG}{WAG(s1,r12)}\right) } -\href{#OIN}{OIN(s1,r12)} *exp{ \left(\href{#POI}{POI(s1,r12)}\right) } -{(1-\href{#TITC}{TITC(s1,r12)})}*\href{#INV}{INV(s1,r12)} *exp{ \left(\href{#PRII}{PRII(r12)}\right) })}}{exp{ \left(\href{#PRID}{PRID(r12)}\right) }} \]
Equation 69: PRFY
For r12 in regions (12 total):
\[ \href{#PRFY}{PRFY(r12)} = \frac{{(\href{#INVT}{INVT(r12)} *exp{ \left(\href{#PRII}{PRII(r12)}\right) } -\href{#IITE}{IITE(r12)} *exp{ \left(\href{#PRIE}{PRIE(r12)}\right) } -\href{#IITL}{IITL(r12)} *exp{ \left(\href{#WAGE}{WAGE(r12)}\right) } -\href{#IITO}{IITO(r12)} *exp{ \left(\href{#PROI}{PROI(r12)}\right) } -\href{#INVY}{INVY(r12)} *exp{ \left(\href{#PRII}{PRII(r12)}\right) })}}{exp{ \left(\href{#PRID}{PRID(r12)}\right) }} \]
Equation 70: PRFZ
For r12 in regions (12 total):
\[ \href{#PRFZ}{PRFZ(r12)} = \frac{{(\href{#CONP}{CONP(r12)} *exp{ \left(\href{#PRCT}{PRCT(r12)}\right) } -\href{#CNPE}{CNPE(r12)} *exp{ \left(\href{#PRCE}{PRCE(r12)}\right) } -\href{#CNPL}{CNPL(r12)} *exp{ \left(\href{#WAGE}{WAGE(r12)}\right) } -\href{#CNPO}{CNPO(r12)} *exp{ \left(\href{#PRCO}{PRCO(r12)}\right) } -{(1-\href{#TITCH}{TITCH(r12)})}*\href{#INVZ}{INVZ(r12)} *exp{ \left(\href{#PRII}{PRII(r12)}\right) })}}{exp{ \left(\href{#PRID}{PRID(r12)}\right) }} \]
Equation 71: PRFT
For r12 in regions (12 total):
\[ \href{#PRFT}{PRFT(r12)} = \sum_{s1 \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(\href{#PRF}{PRF(s1,r12)}\right) } +\href{#PRFY}{PRFY(r12)} \]
Equation 72: STM
For r12 in regions, s1 in sec_std (252 total):
\[ \href{#STM}{STM(s1,r12)} = \frac{{(\href{#LAM}{LAM(s1,r12)}*\href{#CAP}{CAP(s1,r12)})}}{{(1-\href{#TITC}{TITC(s1,r12)})}} \]
Equation 73: STMT
For r12 in regions (12 total):
\[ \href{#STMT}{STMT(r12)} = \sum_{s1 \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(\href{#STM}{STM(s1,r12)}\right) } \]
Equation 74: INVP
For r12 in regions (12 total):
\[ \href{#INVP}{INVP(r12)} = \sum_{s1 \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(\href{#INV}{INV(s1,r12)}\right) } \]
Equation 75: INVT
For r12 in regions (12 total):
\[ \href{#INVT}{INVT(r12)} = \href{#INVY}{INVY(r12)}+\href{#INVZ}{INVZ(r12)} +\href{#INVP}{INVP(r12)} \]
Equation 76: PRID
For r12 in regions (12 total):
\[ \href{#PRID}{PRID(r12)} = \sum_{g27 \; \text{in} \; \href{#goods}{goods}} { \left(\href{#prid_weight}{prid\_weight(g27,r12)} *\href{#PRD}{PRD(g27,r12)}\right) } \]
Equation 77: PRIX
For r12 in regions (12 total):
\[ \href{#PRIX}{PRIX(r12)} = \sum_{g33 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(\href{#prix_weight}{prix\_weight(g33,r12)} *\href{#PRX}{PRX(g33,r12)}\right) } \]
Equation 78: OUTP
For r12 in regions (12 total):
\[ \href{#OUTP}{OUTP(r12)} = \frac{\sum_{g27 \; \text{in} \; \href{#goods}{goods}} { \left(exp{ \left(\href{#PRD}{PRD(g27,r12)}\right) } *\href{#OUG}{OUG(g27,r12)}\right) }}{exp{ \left(\href{#PRID}{PRID(r12)}\right) }} \]
Equation 79: OUTL
For r12 in regions (12 total):
\[ lead({\href{#OUTL}{OUTL(r12)}}) = \href{#OUTP}{OUTP(r12)} \]
Equation 80: INCM
For r12 in regions (12 total):
\[ \href{#INCM}{INCM(r12)} = \href{#TRAN}{TRAN(r12)}-\href{#TAXL}{TAXL(r12)} +\href{#INTR}{INTR(r12)}*\href{#BOND}{BOND(r12)} +\frac{\href{#IRAS}{IRAS(r12)}}{exp{ \left(\href{#REXN}{REXN(r12)}\right) }} +\href{#PRFZ}{PRFZ(r12)} +{(1-\href{#TCOR}{TCOR(r12)})}*\href{#PRFT}{PRFT(r12)} +\frac{{({(1-\href{#TINC}{TINC(r12)})} *{(exp{ \left(\href{#WAGE}{WAGE(r12)}\right) } *{(\href{#IITL}{IITL(r12)}+\href{#CNPL}{CNPL(r12)})} +exp{ \left(\href{#WAGG}{WAGG(r12)}\right) } *\href{#GOVL}{GOVL(r12)} +\sum_{s1 \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(exp{ \left(\href{#WAG}{WAG(s1,r12)}\right) } *\href{#LAB}{LAB(s1,r12)}\right) })})}}{exp{ \left(\href{#PRID}{PRID(r12)}\right) }} \]
Equation 81: CONP
For r12 in regions (12 total):
\[ \href{#CONP}{CONP(r12)} = \href{#fore_c}{fore\_c(r12)} *{(\href{#timepref}{timepref(r12)}+\href{#RISW}{RISW(r12)})} *\href{#WELT}{WELT(r12)} *exp{ \left( \href{#PRID}{PRID(r12)}-\href{#PRCT}{PRCT(r12)}\right) } +{(1-\href{#fore_c}{fore\_c(r12)})}*\href{#mpc}{mpc(r12)} *\href{#INCM}{INCM(r12)} *exp{ \left( \href{#PRID}{PRID(r12)}-\href{#PRCT}{PRCT(r12)}\right) } +\href{#SHKC}{SHKC(r12)} \]
Equation 82: IRAS
For o2 in owner (12 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 83: INAS
For o2 in owner (12 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 84: CNPL
For r12 in regions (12 total):
\[ \href{#CNPL}{CNPL(r12)} = exp{ \left( \href{#SHLZ}{SHLZ(r12)}+\href{#SHYZ}{SHYZ(r12)}\right) } ^{(\href{#sigma_oH}{sigma\_oH(r12)}-1)} *\href{#delta_oH}{delta\_oH(\text{l},r12)} *\href{#CONP}{CONP(r12)} *exp{ \left( \href{#PRCT}{PRCT(r12)}-\href{#WAGE}{WAGE(r12)}\right) } ^\href{#sigma_oH}{sigma\_oH(r12)} \]
Equation 85: CNPE
For r12 in regions (12 total):
\[ \href{#CNPE}{CNPE(r12)} = exp{ \left( \href{#SHEFC}{SHEFC(r12)}+\href{#SHYZ}{SHYZ(r12)}\right) } ^{(\href{#sigma_oH}{sigma\_oH(r12)}-1)} *\href{#delta_oH}{delta\_oH(\text{e},r12)} *\href{#CONP}{CONP(r12)} *exp{ \left( \href{#PRCT}{PRCT(r12)}-\href{#PRCE}{PRCE(r12)}\right) } ^\href{#sigma_oH}{sigma\_oH(r12)} \]
Equation 86: CNPO
For r12 in regions (12 total):
\[ \href{#CNPO}{CNPO(r12)} = exp{ \left(\href{#SHYZ}{SHYZ(r12)}\right) } ^{(\href{#sigma_oH}{sigma\_oH(r12)}-1)} *\href{#delta_oH}{delta\_oH(\text{m},r12)} *\href{#CONP}{CONP(r12)} *exp{ \left( \href{#PRCT}{PRCT(r12)}-\href{#PRCO}{PRCO(r12)}\right) } ^\href{#sigma_oH}{sigma\_oH(r12)} \]
Equation 87: CNPK
For r12 in regions (12 total):
\[ \href{#CNPK}{CNPK(r12)} = exp{ \left(\href{#SHYZ}{SHYZ(r12)}\right) } ^{(\href{#sigma_oH}{sigma\_oH(r12)}-1)} *\href{#delta_oH}{delta\_oH(\text{k},r12)} *\href{#CONP}{CONP(r12)} *exp{ \left( \href{#PRCT}{PRCT(r12)}-\href{#PRKZ}{PRKZ(r12)}\right) } ^\href{#sigma_oH}{sigma\_oH(r12)} \]
Equation 88: FDEN
For g28 in goods_e, r12 in regions (60 total):
\[ \href{#FDEN}{FDEN(g28,r12)} = \href{#CON}{CON(g28,r12)} \]
Equation 89: PRCT
For r12 in regions (12 total):
\[ \href{#PRCT}{PRCT(r12)} = \href{#cd_oH}{cd\_oH(r12)} *{(\href{#delta_oH}{delta\_oH(\text{k},r12)} *\href{#PRKZ}{PRKZ(r12)} +\href{#delta_oH}{delta\_oH(\text{l},r12)} *\href{#WAGE}{WAGE(r12)} +\href{#delta_oH}{delta\_oH(\text{e},r12)} *\href{#PRCE}{PRCE(r12)} +\href{#delta_oH}{delta\_oH(\text{m},r12)} *\href{#PRCO}{PRCO(r12)} -\href{#delta_oH}{delta\_oH(\text{l},r12)} *\href{#SHLZ}{SHLZ(r12)} -\href{#delta_oH}{delta\_oH(\text{e},r12)} *\href{#SHEFC}{SHEFC(r12)})} +\frac{{({(1-\href{#cd_oH}{cd\_oH(r12)})} *ln{ \left( \href{#delta_oH}{delta\_oH(\text{k},r12)} *exp{ \left(\href{#PRKZ}{PRKZ(r12)}\right) } ^{(1-\href{#sigma_oH}{sigma\_oH(r12)})} +\href{#delta_oH}{delta\_oH(\text{l},r12)} *exp{ \left( \href{#WAGE}{WAGE(r12)}-\href{#SHLZ}{SHLZ(r12)}\right) } ^{(1-\href{#sigma_oH}{sigma\_oH(r12)})} +\href{#delta_oH}{delta\_oH(\text{e},r12)} *exp{ \left( \href{#PRCE}{PRCE(r12)}-\href{#SHEFC}{SHEFC(r12)}\right) } ^{(1-\href{#sigma_oH}{sigma\_oH(r12)})} +\href{#delta_oH}{delta\_oH(\text{m},r12)} *exp{ \left(\href{#PRCO}{PRCO(r12)}\right) } ^{(1-\href{#sigma_oH}{sigma\_oH(r12)})}\right) })}}{{(1 -\href{#sigma_oH}{sigma\_oH(r12)}*{(1-\href{#cd_oH}{cd\_oH(r12)})})}} -\href{#SHYZ}{SHYZ(r12)} \]
Equation 90: PRGT
For r12 in regions (12 total):
\[ \href{#PRGT}{PRGT(r12)} = \frac{\href{#delta_oG}{delta\_oG(\text{e},r12)}}{{(\href{#delta_oG}{delta\_oG(\text{e},r12)} +\href{#delta_oG}{delta\_oG(\text{m},r12)})}} *\sum_{g28 \; \text{in} \; \href{#goods_e}{goods\_e}} { \left(\href{#delta_eG}{delta\_eG(g28,r12)}*\href{#PRY}{PRY(g28,r12)}\right) } +\frac{\href{#delta_oG}{delta\_oG(\text{m},r12)}}{{(\href{#delta_oG}{delta\_oG(\text{e},r12)} +\href{#delta_oG}{delta\_oG(\text{m},r12)})}} *\sum_{g30 \; \text{in} \; \href{#goods_m}{goods\_m}} { \left(\href{#delta_mG}{delta\_mG(g30,r12)}*\href{#PRY}{PRY(g30,r12)}\right) } \]
Equation 91: MONE
For r12 in regions (12 total):
\[ \href{#MONE}{MONE(r12)} = \href{#PRID}{PRID(r12)} +ln{ \left(\href{#OUTP}{OUTP(r12)}\right) } +\href{#int_elast}{int\_elast(r12)}*\href{#INTN}{INTN(r12)} +\href{#SHKM}{SHKM(r12)} \]
Equation 92: INTF
For r12 in regions (12 total):
\[ \href{#INTF}{INTF(r12)} = \href{#INTN}{INTN(r12)}-lead({\href{#PRID}{PRID(r12)}}) +\href{#PRID}{PRID(r12)} \]
Equation 93: INTR
For r12 in regions (12 total):
\[ \href{#INTR}{INTR(r12)} = \href{#INTF}{INTF(r12)}+\href{#RISR}{RISR(r12)} \]
Equation 94: INFP
For r12 in regions (12 total):
\[ \href{#INFP}{INFP(r12)} = \href{#PRID}{PRID(r12)}-\href{#PRDL}{PRDL(r12)} \]
Equation 95: PRCL
For r12 in regions (12 total):
\[ lead({\href{#PRCL}{PRCL(r12)}}) = \href{#PRCT}{PRCT(r12)} \]
Equation 96: PRDL
For r12 in regions (12 total):
\[ lead({\href{#PRDL}{PRDL(r12)}}) = \href{#PRID}{PRID(r12)} \]
Equation 97: GDPN
For r12 in regions (12 total):
\[ \href{#GDPN}{GDPN(r12)} = exp{ \left(\href{#PRCT}{PRCT(r12)}\right) } *\href{#CONP}{CONP(r12)} +exp{ \left(\href{#PRGT}{PRGT(r12)}\right) } *\href{#GCET}{GCET(r12)} +exp{ \left(\href{#PRII}{PRII(r12)}\right) } *\href{#INVT}{INVT(r12)} +exp{ \left(\href{#PRID}{PRID(r12)}\right) } *\href{#TBAL}{TBAL(r12)} +\sum_{g33 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(exp{ \left(\href{#PRII}{PRII(r12)}\right) } *\href{#INS}{INS(r12,g33)}\right) } \]
Equation 98: GDPR
For r12 in regions (12 total):
\[ \href{#GDPR}{GDPR(r12)} = \href{#CONP}{CONP(r12)}+\href{#GCET}{GCET(r12)} +\href{#INVT}{INVT(r12)} +\href{#TBAL}{TBAL(r12)} +\sum_{g33 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(\href{#INS}{INS(r12,g33)}\right) } \]
Equation 99: PGDP
For r12 in regions (12 total):
\[ \href{#PGDP}{PGDP(r12)} = ln{ \left(\href{#GDPN}{GDPN(r12)}\right) } -ln{ \left(\href{#GDPR}{GDPR(r12)}\right) } \]
Equation 100: GNPR
For r12 in regions (12 total):
\[ \href{#GNPR}{GNPR(r12)} = \href{#GDPR}{GDPR(r12)} +\frac{{(\href{#PBAL}{PBAL(r12)}+\href{#IRAS}{IRAS(r12)})}}{exp{ \left(\href{#REXN}{REXN(r12)}\right) }} \]
Equation 101: CURN
For r12 in regions (12 total):
\[ \href{#CURN}{CURN(r12)} = \href{#TBAL}{TBAL(r12)} +\frac{{(\href{#PBAL}{PBAL(r12)}+\href{#INAS}{INAS(r12)})}}{exp{ \left(\href{#REXN}{REXN(r12)}\right) }} \]
Equation 102: CURR
For r12 in regions (12 total):
\[ \href{#CURR}{CURR(r12)} = \href{#TBAU}{TBAU(r12)}+\href{#PBAL}{PBAL(r12)} +\href{#IRAS}{IRAS(r12)} \]
Equation 103: WELT
For r12 in regions (12 total):
\[ \href{#WELT}{WELT(r12)} = \href{#BOND}{BOND(r12)} +\frac{\href{#ASSU}{ASSU(r12)}}{exp{ \left(\href{#REXN}{REXN(r12)}\right) }} +\frac{{(\href{#mongdp}{mongdp(r12)} *exp{ \left(\href{#MONE}{MONE(r12)}\right) })}}{exp{ \left(\href{#PRID}{PRID(r12)}\right) }} +\href{#WELH}{WELH(r12)} +\href{#LAMY}{LAMY(r12)}*\href{#CAPY}{CAPY(r12)} +\href{#LAMZ}{LAMZ(r12)}*\href{#CAPZ}{CAPZ(r12)} +\sum_{s1 \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(\href{#STM}{STM(s1,r12)}\right) } \]
Equation 104: WELH
For r12 in regions (12 total):
\[ lead({\href{#WELH}{WELH(r12)}}) = {(1+\href{#RISW}{RISW(r12)}+\href{#RISH}{RISH(r12)} +\href{#INTR}{INTR(r12)} -\href{#labgrow}{labgrow(r12)})} *\href{#WELH}{WELH(r12)} -\href{#TRAN}{TRAN(r12)} +\href{#TAXH}{TAXH(r12)} +\href{#TAXL}{TAXL(r12)} -\frac{{(exp{ \left(\href{#WAGE}{WAGE(r12)}\right) } *{(\href{#IITL}{IITL(r12)}+\href{#CNPL}{CNPL(r12)})} +exp{ \left(\href{#WAGG}{WAGG(r12)}\right) } *\href{#GOVL}{GOVL(r12)} +\sum_{s1 \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(exp{ \left(\href{#WAG}{WAG(s1,r12)}\right) } *\href{#LAB}{LAB(s1,r12)}\right) })}}{exp{ \left(\href{#PRID}{PRID(r12)}\right) }} \]
Equation 105: SAVI
For r12 in regions (12 total):
\[ \href{#SAVI}{SAVI(r12)} = \href{#INVT}{INVT(r12)} *exp{ \left( \href{#PRII}{PRII(r12)}-\href{#PRID}{PRID(r12)}\right) } +\frac{\href{#CURR}{CURR(r12)}}{exp{ \left(\href{#REXN}{REXN(r12)}\right) }} +\href{#DEFI}{DEFI(r12)} \]
Equation 106: SAVN
For r12 in regions (12 total):
\[ \href{#SAVN}{SAVN(r12)} = \href{#INVT}{INVT(r12)} *exp{ \left( \href{#PRII}{PRII(r12)}-\href{#PRID}{PRID(r12)}\right) } +\href{#CURN}{CURN(r12)} +\href{#DEFN}{DEFN(r12)} \]
Equation 107: SAVT
For r12 in regions (12 total):
\[ \href{#SAVT}{SAVT(r12)} = \href{#INVT}{INVT(r12)} *exp{ \left( \href{#PRII}{PRII(r12)}-\href{#PRID}{PRID(r12)}\right) } +\href{#CURN}{CURN(r12)} \]
Equation 108: TBAL
For r12 in regions (12 total):
\[ \href{#TBAL}{TBAL(r12)} = \href{#EXQT}{EXQT(r12)}-\href{#IMQT}{IMQT(r12)} \]
Equation 109: TBAU
For r12 in regions (12 total):
\[ \href{#TBAU}{TBAU(r12)} = \href{#TBAL}{TBAL(r12)} *exp{ \left(\href{#REXN}{REXN(r12)}\right) } \]
Equation 110: EXCH
For n1 in notUSA (11 total):
\[ \href{#EXCH}{EXCH(n1)} = \href{#REXN}{REXN(n1)}-\href{#PRID}{PRID(n1)} +\href{#PRID}{PRID(\text{USA})} \]
Equation 111: EXCL
For r12 in regions (12 total):
\[ lead({\href{#EXCL}{EXCL(r12)}}) = \href{#EXCH}{EXCH(r12)} \]
Equation 112: REXC
For r12 in regions (12 total):
\[ lead({\href{#REXC}{REXC(r12)}}) = \href{#REXC}{REXC(r12)}-\href{#INTR}{INTR(r12)} +\href{#INTR}{INTR(\text{USA})} +\href{#EXCR}{EXCR(r12)} \]
Equation 113: NEER
For d in dest (12 total):
\[ \href{#NEER}{NEER(d)} = {( -\sum_{o1 \; \text{in} \; \href{#orig}{orig}} { \left(\href{#eer_weight}{eer\_weight(d,o1)} *{(\href{#EXCH}{EXCH(o1)}-\href{#EXCH}{EXCH(d)})}\right) })} \]
Equation 114: REER
For d in dest (12 total):
\[ \href{#REER}{REER(d)} = {( -\sum_{o1 \; \text{in} \; \href{#orig}{orig}} { \left(\href{#eer_weight}{eer\_weight(d,o1)} *{(\href{#REXN}{REXN(o1)}-\href{#REXN}{REXN(d)})}\right) })} \]
Equation 115: ABUY
For o2 in owner (12 total):
\[ \href{#ABUY}{ABUY(o2)} = \sum_{a \; \text{in} \; \href{#abroad}{abroad}} { \left(\href{#ainv}{ainv(o2,a)}*\href{#CURR}{CURR(a)}\right) } \]
Equation 116: ASSE
For c in currency, o2 in owner (144 total):
\[ lead({\href{#ASSE}{ASSE(c,o2)}}) = \href{#ASSE}{ASSE(c,o2)}*{(1-\href{#labgrow}{labgrow(o2)})} +\frac{{(\href{#ashr}{ashr(c,o2)}*\href{#ABUY}{ABUY(o2)} +\href{#aeye}{aeye(c,o2)} *{(\href{#CURR}{CURR(o2)}-\href{#ABUY}{ABUY(o2)})})}}{exp{ \left(\href{#REXN}{REXN(c)}\right) }} \]
Equation 117: ASSU
For o2 in owner (12 total):
\[ \href{#ASSU}{ASSU(o2)} = \sum_{c \; \text{in} \; \href{#currency}{currency}} { \left(exp{ \left(\href{#REXN}{REXN(c)}\right) } *\href{#ASSE}{ASSE(c,o2)}\right) } \]
Equation 118: EYGR
For r12 in regions (12 total):
\[ \href{#EYGR}{EYGR(r12)} = ln{ \left(lead({\href{#OUTP}{OUTP(r12)}})\right) } -ln{ \left(\href{#OUTP}{OUTP(r12)}\right) } \]
Equation 119: EPRC
For r12 in regions (12 total):
\[ \href{#EPRC}{EPRC(r12)} = lead({\href{#PRCT}{PRCT(r12)}})-\href{#PRCT}{PRCT(r12)} \]
Equation 120: INFL
For r12 in regions (12 total):
\[ \href{#INFL}{INFL(r12)} = \href{#PRCT}{PRCT(r12)}-\href{#PRCL}{PRCL(r12)} \]
Equation 121: PRCOL
For r12 in regions (12 total):
\[ lead({\href{#PRCOL}{PRCOL(r12)}}) = \href{#PRCO}{PRCO(r12)} \]
Equation 122: INFCL
For r12 in regions (12 total):
\[ \href{#INFCL}{INFCL(r12)} = \href{#PRCO}{PRCO(r12)}-\href{#PRCOL}{PRCOL(r12)} \]
Equation 123: GNEN
For r12 in regions (12 total):
\[ \href{#GNEN}{GNEN(r12)} = exp{ \left(\href{#PRCT}{PRCT(r12)}\right) } *\href{#CONP}{CONP(r12)} +exp{ \left(\href{#PRID}{PRID(r12)}\right) } *\href{#GCET}{GCET(r12)} +exp{ \left(\href{#PRII}{PRII(r12)}\right) } *\href{#INVT}{INVT(r12)} +\sum_{g33 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(exp{ \left(\href{#PRII}{PRII(r12)}\right) } *\href{#INS}{INS(r12,g33)}\right) } \]
Equation 124: GNER
For r12 in regions (12 total):
\[ \href{#GNER}{GNER(r12)} = \href{#CONP}{CONP(r12)}+\href{#GCET}{GCET(r12)} +\href{#INVT}{INVT(r12)} +\sum_{g33 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(\href{#INS}{INS(r12,g33)}\right) } \]
Equation 125: INTN
For r12 in regions (12 total):
\[ \href{#INTN}{INTN(r12)} = \href{#mrule_r}{mrule\_r(r12)}*\href{#INTL}{INTL(r12)} +\href{#mrule_ex}{mrule\_ex(r12)} *{(\href{#EXCH}{EXCH(r12)}-\href{#EXCL}{EXCL(r12)} -\href{#EXCX}{EXCX(r12)})} +\href{#mrule_1}{mrule\_1(r12)} *{(\href{#INFL}{INFL(r12)}-\href{#INFX}{INFX(r12)})} +\href{#mrule_2}{mrule\_2(r12)} *{(\href{#INFP}{INFP(r12)}-\href{#INFX}{INFX(r12)})} +\href{#mrule_3}{mrule\_3(r12)} *{(\href{#INFCL}{INFCL(r12)}-\href{#INFX}{INFX(r12)})} +\href{#mrule_4}{mrule\_4(r12)} *{(\href{#PRCT}{PRCT(r12)}-\href{#PTAR}{PTAR(r12)})} +\href{#mrule_5}{mrule\_5(r12)} *{(\href{#PRID}{PRID(r12)}-\href{#PTAR}{PTAR(r12)})} +\href{#mrule_6}{mrule\_6(r12)} *{(\href{#WAGE}{WAGE(r12)}-\href{#PTAR}{PTAR(r12)})} +\href{#mrule_7}{mrule\_7(r12)}*0 +\href{#mrule_8}{mrule\_8(r12)} *{(ln{ \left(\href{#OUTP}{OUTP(r12)}\right) } -ln{ \left(\href{#OUTL}{OUTL(r12)}\right) } -\href{#ROGY}{ROGY(r12)})} +\href{#mrule_9}{mrule\_9(r12)} *{(ln{ \left(\href{#OUTP}{OUTP(r12)}\right) } -ln{ \left(\href{#OUTL}{OUTL(r12)}\right) } -\href{#ROGY}{ROGY(r12)} +\href{#INFP}{INFP(r12)} -\href{#INFX}{INFX(r12)})} +\href{#mrule_10}{mrule\_10(r12)} *{(ln{ \left(\href{#GDPN}{GDPN(r12)}\right) } -\href{#ROGY}{ROGY(r12)})} +\href{#mrule_11}{mrule\_11(r12)} *{(ln{ \left(\href{#OUTP}{OUTP(r12)}\right) } +\href{#PRID}{PRID(r12)})} +\href{#mrule_12}{mrule\_12(r12)} *ln{ \left( {(\href{#OUTP}{OUTP(r12)}-\href{#TBAL}{TBAL(r12)})} *exp{ \left(\href{#PRID}{PRID(r12)}\right) }\right) } +\href{#mrule_13}{mrule\_13(r12)} *{(\href{#EPRC}{EPRC(r12)}-\href{#INFX}{INFX(r12)})} +\href{#mrule_14}{mrule\_14(r12)} *{(\href{#EYGR}{EYGR(r12)}-\href{#ROGY}{ROGY(r12)})} +\href{#mrule_15}{mrule\_15(r12)} *{(ln{ \left(\href{#GNEN}{GNEN(r12)}\right) } -\href{#ROGY}{ROGY(r12)})} \]
Equation 126: INTL
For r12 in regions (12 total):
\[ lead({\href{#INTL}{INTL(r12)}}) = \href{#INTN}{INTN(r12)} \]
Equation 127: GCE
For g28 in goods_e, r12 in regions (60 total):
\[ \href{#GCE}{GCE(g28,r12)} = \frac{{(\href{#delta_eG}{delta\_eG(g28,r12)} *\frac{\href{#delta_oG}{delta\_oG(\text{e},r12)}}{{(\href{#delta_oG}{delta\_oG(\text{e},r12)} +\href{#delta_oG}{delta\_oG(\text{m},r12)})}} *\href{#GOVS}{GOVS(r12)} *exp{ \left(\href{#PRGT}{PRGT(r12)}\right) })}}{exp{ \left(\href{#PRY}{PRY(g28,r12)}\right) }} \]
Equation 128: GCE
For g30 in goods_m, r12 in regions (108 total):
\[ \href{#GCE}{GCE(g30,r12)} = \frac{{(\href{#delta_mG}{delta\_mG(g30,r12)} *\frac{\href{#delta_oG}{delta\_oG(\text{m},r12)}}{{(\href{#delta_oG}{delta\_oG(\text{e},r12)} +\href{#delta_oG}{delta\_oG(\text{m},r12)})}} *\href{#GOVS}{GOVS(r12)} *exp{ \left(\href{#PRGT}{PRGT(r12)}\right) })}}{exp{ \left(\href{#PRY}{PRY(g30,r12)}\right) }} \]
Equation 129: GCET
For r12 in regions (12 total):
\[ \href{#GCET}{GCET(r12)} = \frac{\sum_{g33 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(\href{#GCE}{GCE(g33,r12)} *exp{ \left(\href{#PRY}{PRY(g33,r12)}\right) }\right) }}{exp{ \left(\href{#PRGT}{PRGT(r12)}\right) }} \]
Equation 130: GOVT
For r12 in regions (12 total):
\[ \href{#GOVT}{GOVT(r12)} = \href{#GCET}{GCET(r12)} +\href{#GOVL}{GOVL(r12)} *exp{ \left( \href{#WAGG}{WAGG(r12)}-\href{#PRID}{PRID(r12)}\right) } \]
Equation 131: TRAN
For r12 in regions (12 total):
\[ \href{#TRAN}{TRAN(r12)} = \href{#TRANX}{TRANX(r12)} +\href{#transgdp}{transgdp(r12)}*\href{#OUTP}{OUTP(r12)} \]
Equation 132: TXM
For d in dest, g33 in goods_o (168 total):
\[ \href{#TXM}{TXM(g33,d)} = \frac{\sum_{o1 \; \text{in} \; \href{#orig}{orig}} { \left({(\href{#TIM}{TIM(g33,d,o1)}*\href{#MUL}{MUL(d,o1)} +\href{#TIF}{TIF(g33,d)}*\href{#FTA}{FTA(d,o1)})} *exp{ \left(\href{#PIM}{PIM(g33,d,o1)}\right) } *\href{#IMP}{IMP(g33,d,o1)}\right) }}{exp{ \left(\href{#PRID}{PRID(d)}\right) }} \]
Equation 133: TAXM
For d in dest (12 total):
\[ \href{#TAXM}{TAXM(d)} = \sum_{g33 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(\href{#TXM}{TXM(g33,d)}\right) } \]
Equation 134: TAXX
For r12 in regions (12 total):
\[ \href{#TAXX}{TAXX(r12)} = \frac{\sum_{g33 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(\href{#TEX}{TEX(g33,r12)} *exp{ \left(\href{#PRS}{PRS(g33,r12)}\right) } *\href{#EXQ}{EXQ(g33,r12)}\right) }}{exp{ \left(\href{#PRID}{PRID(r12)}\right) }} \]
Equation 135: TAXH
For r12 in regions (12 total):
\[ \href{#TAXH}{TAXH(r12)} = \frac{{(\href{#TINC}{TINC(r12)} *{(exp{ \left(\href{#WAGE}{WAGE(r12)}\right) } *\href{#IITL}{IITL(r12)} +exp{ \left(\href{#WAGE}{WAGE(r12)}\right) } *\href{#CNPL}{CNPL(r12)} +exp{ \left(\href{#WAGG}{WAGG(r12)}\right) } *\href{#GOVL}{GOVL(r12)} +\sum_{s1 \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(exp{ \left(\href{#WAG}{WAG(s1,r12)}\right) } *\href{#LAB}{LAB(s1,r12)}\right) })} -\href{#TITCH}{TITCH(r12)} *exp{ \left(\href{#PRII}{PRII(r12)}\right) } *\href{#INVZ}{INVZ(r12)})}}{exp{ \left(\href{#PRID}{PRID(r12)}\right) }} \]
Equation 136: BOND
For r12 in regions (12 total):
\[ lead({\href{#BOND}{BOND(r12)}}) = \href{#DEFI}{DEFI(r12)} +\href{#BOND}{BOND(r12)}*{(1-\href{#labgrow}{labgrow(r12)})} -\href{#PBAG}{PBAG(r12)} \]
Equation 137: TAXL
For r12 in regions (12 total):
\[ \href{#TAXL}{TAXL(r12)} = \href{#INTR}{INTR(r12)}*\href{#BOND}{BOND(r12)} +\href{#TAXS}{TAXS(r12)} \]
Equation 138: TAXT
For r12 in regions (12 total):
\[ \href{#TAXT}{TAXT(r12)} = \href{#TAXC}{TAXC(r12)}+\href{#TAXH}{TAXH(r12)} +\href{#TAXL}{TAXL(r12)} +\href{#TAXM}{TAXM(r12)} +\href{#TAXX}{TAXX(r12)} +\href{#TAXE}{TAXE(r12)} \]
Equation 139: DEFI
For r12 in regions (12 total):
\[ \href{#DEFI}{DEFI(r12)} = \href{#GOVT}{GOVT(r12)}+\href{#TRAN}{TRAN(r12)} -\href{#TAXT}{TAXT(r12)} +\href{#INTR}{INTR(r12)}*\href{#BOND}{BOND(r12)} \]
Equation 140: DEFN
For r12 in regions (12 total):
\[ \href{#DEFN}{DEFN(r12)} = \href{#DEFI}{DEFI(r12)} +{(\href{#INTN}{INTN(r12)}-\href{#INTR}{INTR(r12)})} *\href{#BOND}{BOND(r12)} \]
Equation 141: CON
For g28 in goods_e, r12 in regions (60 total):
\[ \href{#CON}{CON(g28,r12)} = \href{#delta_eH}{delta\_eH(g28,r12)}*\href{#CNPE}{CNPE(r12)} *exp{ \left( \href{#PRCE}{PRCE(r12)}-\href{#PRY}{PRY(g28,r12)}\right) } ^\href{#sigma_eH}{sigma\_eH(r12)} \]
Equation 142: CON
For g31 in goods_mc, r12 in regions (96 total):
\[ \href{#CON}{CON(g31,r12)} = \href{#delta_mH}{delta\_mH(g31,r12)}*\href{#CNPO}{CNPO(r12)} *exp{ \left( \href{#PRCO}{PRCO(r12)}-\href{#PRY}{PRY(g31,r12)}\right) } ^\href{#sigma_mH}{sigma\_mH(r12)} \]
Equation 143: EN
For g28 in goods_e, r12 in regions, s1 in sec_std (1260 total):
\[ \href{#EN}{EN(s1,g28,r12)} = \href{#delta_e}{delta\_e(r12,s1,g28)}*\href{#ENT}{ENT(s1,r12)} *exp{ \left( \href{#PRE}{PRE(s1,r12)}-\href{#PRY}{PRY(g28,r12)}\right) } ^\href{#sigma_e}{sigma\_e(s1,r12)} \]
Equation 144: OI
For g30 in goods_m, r12 in regions, s1 in sec_std (2268 total):
\[ \href{#OI}{OI(s1,g30,r12)} = \href{#delta_m}{delta\_m(r12,s1,g30)}*\href{#OIN}{OIN(s1,r12)} *exp{ \left( \href{#POI}{POI(s1,r12)}-\href{#PRY}{PRY(g30,r12)}\right) } ^\href{#sigma_m}{sigma\_m(s1,r12)} \]
Equation 145: PRE
For r12 in regions, s1 in sec_std (252 total):
\[ \href{#PRE}{PRE(s1,r12)} = \href{#cd_e}{cd\_e(s1,r12)} *\sum_{g28 \; \text{in} \; \href{#goods_e}{goods\_e}} { \left(\href{#delta_e}{delta\_e(r12,s1,g28)}*\href{#PRY}{PRY(g28,r12)}\right) } +\frac{{({(1-\href{#cd_e}{cd\_e(s1,r12)})} *ln{ \left( \sum_{g28 \; \text{in} \; \href{#goods_e}{goods\_e}} { \left(\href{#delta_e}{delta\_e(r12,s1,g28)} *exp{ \left(\href{#PRY}{PRY(g28,r12)}\right) } ^{(1-\href{#sigma_e}{sigma\_e(s1,r12)})}\right) }\right) })}}{{(1 -\href{#sigma_e}{sigma\_e(s1,r12)}*{(1-\href{#cd_e}{cd\_e(s1,r12)})})}} \]
Equation 146: POI
For r12 in regions, s1 in sec_std (252 total):
\[ \href{#POI}{POI(s1,r12)} = \href{#cd_m}{cd\_m(s1,r12)} *\sum_{g30 \; \text{in} \; \href{#goods_m}{goods\_m}} { \left(\href{#delta_m}{delta\_m(r12,s1,g30)}*\href{#PRY}{PRY(g30,r12)}\right) } +\frac{{({(1-\href{#cd_m}{cd\_m(s1,r12)})} *ln{ \left( \sum_{g30 \; \text{in} \; \href{#goods_m}{goods\_m}} { \left(\href{#delta_m}{delta\_m(r12,s1,g30)} *exp{ \left(\href{#PRY}{PRY(g30,r12)}\right) } ^{(1-\href{#sigma_m}{sigma\_m(s1,r12)})}\right) }\right) })}}{{(1 -\href{#sigma_m}{sigma\_m(s1,r12)}*{(1-\href{#cd_m}{cd\_m(s1,r12)})})}} \]
Equation 147: PRCE
For r12 in regions (12 total):
\[ \href{#PRCE}{PRCE(r12)} = \href{#cd_eH}{cd\_eH(r12)} *\sum_{g28 \; \text{in} \; \href{#goods_e}{goods\_e}} { \left(\href{#delta_eH}{delta\_eH(g28,r12)}*\href{#PRY}{PRY(g28,r12)}\right) } +\frac{{({(1-\href{#cd_eH}{cd\_eH(r12)})} *ln{ \left( \sum_{g28 \; \text{in} \; \href{#goods_e}{goods\_e}} { \left(\href{#delta_eH}{delta\_eH(g28,r12)} *exp{ \left(\href{#PRY}{PRY(g28,r12)}\right) } ^{(1-\href{#sigma_eH}{sigma\_eH(r12)})}\right) }\right) })}}{{(1 -\href{#sigma_eH}{sigma\_eH(r12)}*{(1-\href{#cd_eH}{cd\_eH(r12)})})}} \]
Equation 148: PRCO
For r12 in regions (12 total):
\[ \href{#PRCO}{PRCO(r12)} = \href{#cd_mH}{cd\_mH(r12)} *\sum_{g30 \; \text{in} \; \href{#goods_m}{goods\_m}} { \left(\href{#delta_mH}{delta\_mH(g30,r12)}*\href{#PRY}{PRY(g30,r12)}\right) } +\frac{{({(1-\href{#cd_mH}{cd\_mH(r12)})} *ln{ \left( \sum_{g30 \; \text{in} \; \href{#goods_m}{goods\_m}} { \left(\href{#delta_mH}{delta\_mH(g30,r12)} *exp{ \left(\href{#PRY}{PRY(g30,r12)}\right) } ^{(1-\href{#sigma_mH}{sigma\_mH(r12)})}\right) }\right) })}}{{(1 -\href{#sigma_mH}{sigma\_mH(r12)}*{(1-\href{#cd_mH}{cd\_mH(r12)})})}} \]
Equation 149: TAXE
For r12 in regions (12 total):
\[ \href{#TAXE}{TAXE(r12)} = 0 \]
Equation 150: TAXC
For r12 in regions (12 total):
\[ \href{#TAXC}{TAXC(r12)} = \href{#TCOR}{TCOR(r12)} *{(\sum_{s1 \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(\href{#PRF}{PRF(s1,r12)}\right) } +\href{#PRFY}{PRFY(r12)})} +\frac{{(\sum_{g27 \; \text{in} \; \href{#goods}{goods}} { \left(\href{#TAX}{TAX(g27,r12)} *exp{ \left(\href{#PRD}{PRD(g27,r12)}\right) } *\href{#OUG}{OUG(g27,r12)}\right) } +\sum_{g33 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(\href{#TAX}{TAX(g33,r12)} *exp{ \left(\href{#PMR}{PMR(g33,r12)}\right) } *\href{#IMQ}{IMQ(g33,r12)}\right) } -\sum_{s1 \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(\href{#TITC}{TITC(s1,r12)} *exp{ \left(\href{#PRII}{PRII(r12)}\right) } *\href{#INV}{INV(s1,r12)}\right) } -\sum_{g33 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(\href{#TAX}{TAX(g33,r12)} *exp{ \left(\href{#PRS}{PRS(g33,r12)}\right) } *\href{#EXQ}{EXQ(g33,r12)}\right) })}}{exp{ \left(\href{#PRID}{PRID(r12)}\right) }} \]
Equation 151: OUY
For g29 in goods_g, r12 in regions (96 total):
\[ \href{#OUY}{OUY(g29,r12)} = \href{#ELE}{ELE(g29,r12)} \]
Equation 152: OUG
For g29 in goods_g, r12 in regions (96 total):
\[ \href{#OUG}{OUG(g29,r12)} = \href{#OUY}{OUY(g29,r12)} \]
Equation 153: ELE
For g29 in goods_g, r12 in regions (96 total):
\[ \href{#ELE}{ELE(g29,r12)} = exp{ \left(\href{#SHY}{SHY(\text{a01},r12)}\right) } ^{(\href{#sigma_ed}{sigma\_ed(r12)}-1)} *\href{#delta_ed}{delta\_ed(r12,g29)} *\href{#OUP}{OUP(\text{a01},r12)} *\frac{exp{ \left(\href{#PRP}{PRP(\text{a01},r12)}\right) }}{exp{ \left(\href{#PRY}{PRY(g29,r12)}\right) }} ^\href{#sigma_ed}{sigma\_ed(r12)} \]
Equation 154: PRS
For g29 in goods_g, r12 in regions (96 total):
\[ \href{#PRS}{PRS(g29,r12)} = \href{#PRD}{PRD(g29,r12)} \]
Equation 155: PED
For r12 in regions (12 total):
\[ \href{#PED}{PED(r12)} = \href{#cd_ed}{cd\_ed(r12)} *\sum_{g29 \; \text{in} \; \href{#goods_g}{goods\_g}} { \left(\href{#delta_ed}{delta\_ed(r12,g29)}*\href{#PRY}{PRY(g29,r12)}\right) } +\frac{{({(1-\href{#cd_ed}{cd\_ed(r12)})} *ln{ \left( \sum_{g29 \; \text{in} \; \href{#goods_g}{goods\_g}} { \left(\href{#delta_ed}{delta\_ed(r12,g29)} *exp{ \left(\href{#PRY}{PRY(g29,r12)}\right) } ^{(1-\href{#sigma_ed}{sigma\_ed(r12)})}\right) }\right) })}}{{(1 -\href{#sigma_ed}{sigma\_ed(r12)}*{(1-\href{#cd_ed}{cd\_ed(r12)})})}} -\href{#SHY}{SHY(\text{a01},r12)} \]
Equation 156: PRP
For r12 in regions (12 total):
\[ \href{#PRP}{PRP(\text{a01},r12)} = \href{#PED}{PED(r12)} \]
Equation 157: REXN
For r12 in regions (12 total):
\[ \href{#REXN}{REXN(r12)} = \href{#REXC}{REXC(r12)} \]
Equation 158: REXB
\[ \href{#REXB}{REXB(r3)} = \href{#REXC}{REXC(r3)} \]
Equation 159: REXL
\[ lead({\href{#REXL}{REXL(r3)}}) = \href{#REXB}{REXB(r3)} \]