G-Cubed model_12N_195PIIE

Sets:
NameElementsDescription
abroadUSA, JPN, EUW, AUS, KOR, CAN, NZL, CHN, IND, IDN, PHL, VNM, THA, MYS, ROA, LAM, AFR, MEN, ROWused in asset calculations
currencyUSA, JPN, EUW, AUS, KOR, CAN, NZL, CHN, IND, IDN, PHL, VNM, THA, MYS, ROA, LAM, AFR, MEN, ROWcurrency of assets
destUSA, JPN, EUW, AUS, KOR, CAN, NZL, CHN, IND, IDN, PHL, VNM, THA, MYS, ROA, LAM, AFR, MEN, ROWalias for regions
domforD, Fdomestic vs foreign
factorsK, L, E, Mtop tier factors of production
good_coalg04coal
good_constructiong06construction output
good_durable_manufacturingg09durable manufacturing
good_electricityg01electricity
good_gasg02natural gas
good_nondurable_manufacturingg10non-durable manufacturing
good_oilg05crude oil
good_oil_refiningg03liquid fossil fuels from oil-refining
good_other_agricultureg08agriculture
good_other_miningg07other mining products
good_servicesg12services
good_transportationg11transportation
goodsg01, g02, g03, g04, g05, g06, g07, g08, g09, g10, g11, g12ordinary products
goods_eg01, g02, g03, g04, g05energy goods
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_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
notROWUSA, JPN, EUW, AUS, KOR, CAN, NZL, CHN, IND, IDN, PHL, VNM, THA, MYS, ROA, LAM, AFR, MENused in CURR equation
notUSAJPN, EUW, AUS, KOR, CAN, NZL, CHN, IND, IDN, PHL, VNM, THA, MYS, ROA, LAM, AFR, MEN, ROWused with REXC equation
origUSA, JPN, EUW, AUS, KOR, CAN, NZL, CHN, IND, IDN, PHL, VNM, THA, MYS, ROA, LAM, AFR, MEN, ROWalias for regions
ownerUSA, JPN, EUW, AUS, KOR, CAN, NZL, CHN, IND, IDN, PHL, VNM, THA, MYS, ROA, LAM, AFR, MEN, ROWowner of assets ASSE
region_AFRAFRRest of Africa
region_AUSAUSAustralia
region_CANCANCanada
region_CHNCHNChina
region_EUWEUWWestern Europe
region_IDNIDNIndonesia
region_INDINDIndia
region_JPNJPNJapan
region_KORKORSouth Korea
region_LAMLAMLatin America
region_MENMENMiddle East and North Africa
region_MYSMYSMalaysia
region_NZLNZLNew Zealand
region_PHLPHLPhilippines
region_ROAROARest of Asia
region_ROWROWRest of World
region_THATHAThailand
region_USAUSAUnited States
region_VNMVNMVietnam
regionsUSA, JPN, EUW, AUS, KOR, CAN, NZL, CHN, IND, IDN, PHL, VNM, THA, MYS, ROA, LAM, AFR, MEN, ROWcountries and regions
sec_stda01, a02, a03, a04, a05, a06, a07, a08, a09, a10, a11, a12sectors with standard treatment
sector_coala04coal mining
sector_constructiona06construction
sector_durable_manufacturinga09durable manufacturing
sector_eda01electric distribution
sector_gasa02gas extraction and utilities
sector_nondurable_manufacturinga10non-durable manufacturing
sector_oila05crude oil extraction
sector_oil_refininga03liquid fossil fuels
sector_other_agriculturea08agriculture
sector_other_mininga07other mining
sector_servicesa12services
sector_transportationa11transportation
sector_YYYYindustrial capital
sector_ZZZZhousehold capital
sectorsa01, a02, a03, a04, a05, a06, a07, a08, a09, a10, a11, a12sectors other than the capital-production sectors Y - for firms, and Z - for households
sectors_ea01, a02, a03, a04, a05energy sectors
sectors_ma06, a07, a08, a09, a10, a11, a12material sectors
sectors_oa01, a02, a03, a04, a05, a06, a07, a08, a09, a10, a11, a12non electricity generation sectors
sectors_osa01, a02, 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,gdp107108
ASSEcurrency, ownerassets in each currency, including ownsta,usgdp108108, 109, 71, 72
ASSUregionsassets held by region, in US$end,gdp10994
BCTgoods_o, dest, origunit border tax adjustmentdollar,exonone26, 7
BONDregionsbondsgdp,sta131, 132131, 132, 133, 135, 136, 69, 94
CAPsec_std, regionscapital stockgdp,sta3933, 39, 42, 43, 48, 57, 61
CAPYregionsraw invt capital stockgdp,sta4034, 40, 44, 46, 49, 58, 94
CAPZregionshousehold capital stockgdp,sta4135, 41, 45, 47, 50, 59, 94
CNPEregionshousehold demand for energyend,gdp74138, 59
CNPKregionshousehold capital servicesend,gdp76none
CNPLregionshousehold demand for laborend,gdp73130, 23, 59, 69, 95
CNPOregionshousehold demand for materialend,gdp75139, 59
CONgoods_oc, regionshousehold demand for goodsend,gdp138, 1392, 3
CONPregionsnational accounts consumptionend,gdp70117, 118, 35, 59, 73, 74, 75, 76, 85, 86
CURNregionsdomestic currency current account using nominal interest paymentsend,gdp90, 9197, 98
CURRregionsUSD current account using real interest paymentsend,gdp92, 93107, 108, 96
DEFIregionsfiscal deficit (real interest rates)end,gdp135131, 132, 136, 96
DEFNregionsfiscal deficit (nominal interest rates)end,gdp13697
DEFXregionsfiscal deficit shocks (real interest rates)exo,gdpnonenone
ENsec_std, goods_e, regionssector demand for energy goodsend,gdp1402
ENTsec_std, regionssector demand for energyend,gdp16140, 57
EPRCregionsexpected consumer price inflation rateend,intertemporal_constant,pct113119
EXCHregionsexchange rate - US$ per unit of region currencyidx,logged,stl1, 101102, 105, 119, 6
EXCLregionsexchange rate as US$ per unit of region currency - laggedidx,lagged,logged,sta102119
EXCRregionscountry risk premium relative to USexo,pctnone103
EXCXregionsexchange rate target percentage changeexo,pctnone119
EXQgoods_o, regionsexports, EXP.xxend,gdp1110, 129, 147, 2, 3, 4
EXQTregionsvalue of exports at sourceend,gdp1099
EYGRregionsexpected output growthend,intertemporal_constant,pct112119
GCEgoods_o, regionsgovernment purchases of goods and servicesend,gdp122, 123124, 2, 3, 4
GCETregionsnational accounts government spending excluding laborend,gdp124117, 118, 125, 85, 86
GDPNregionsGDP, nominalend,gdp85119, 87
GDPRregionsGDP, realend,gdp8687, 88, 89
GNENregionsGNE, nominalend,gdp117119
GNERregionsGNE, realend,gdp118none
GNPRregionsgross national productend,gdp88, 89none
GOVLregionslabor used by governmentexo,gdpnone125, 130, 23, 69, 95
GOVSregionsgovernment spending excluding laborexo,gdpnone122, 123
GOVTregionsnational accounts government spending including laborend,gdp125135
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,gdp18130, 23, 58, 69, 95
IITOregionsraw capital sector demand for materialend,gdp2022, 58
IMPgoods_o, dest, origindividual imports, IMP.xyend,exclude_dest_equals_orig,gdp711, 127, 8
IMPXgoods_o, dest, origindividual imports shift exo,gdpnone7
IMQgoods_o, regionsDF imports by good, IMQ.xxend,gdp5147, 7, 8, 9
IMQTregionsvalue of imports at destinationend,gdp999
INASregionsnominal USD net interest payments on foreign assetsend,gdp7290, 91
INCMregionsafter tax household incomeend,gdp6970
INFCLregionshousehold materials inflation rateend,pct116119
INFLregionsconsumer price inflationend,pct114119
INFPregionsoutput price inflationend,pct82119
INFXregionsinflation targetexo,pctnone119
INPNregionspolicy interest rate, short-run, nominalpct,stl119120
INSregions, goods_oshocks to aggregate investment demandexo,gdpnone117, 118, 2, 3, 4, 85, 86
INTFregionsrisk free interest rate, short-run, realend,pct8081
INTLregionsinterest rate, short-run, nominal - laggedlagged,pct,sta121119
INTNregionsinterest rate, short (policy), nominalpct,stl120121, 136, 72, 79, 80
INTRregionsrisk adjusted interest rate, short-run, realend,pct81103, 133, 135, 136, 48, 49, 50, 69, 71, 95
INTXregionsshock to interest rate targetexo,pctnone120
INVsec_std, regionsraw investmentend,gdp42147, 43, 63
INVPregionstotal investment by standard sectorsend,gdp6364
INVTregionstotal investment including by householdsend,gdp64117, 118, 18, 19, 20, 34, 58, 85, 86, 96, 97, 98
INVYregionsraw investmentend,gdp4464
INVZregionshousehold investmentend,gdp45130, 64
IRASregionsreal USD net interest payments on foreign assetsend,gdp7169, 88, 89, 92, 93
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,gdp15130, 23, 57, 69, 95
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, 94
LAMZregionsmarginal value of a unit of household capitalcos,pct5050, 53, 94
LGDPNregionsGDP, nominalexo,nomusdbillionnonenone
LGDPRregionsGDP, realexo,realusdbillionnonenone
MONEregionsmoney demandend,gdp,logged7994
NB02regionsinterest rate, 2-year, nominalend,pctnonenone
NB05regionsinterest rate, 5-year, nominalend,pctnonenone
NB10regionsinterest rate, 10-year, nominalend,pctnonenone
NEERregionseffective exchange rate, FC/domesticend,idx,logged105none
OIsec_std, goods_m, regionssector demand for material goodsend,gdp1413, 4
OINsec_std, regionssector demand for materialsend,gdp17141, 57
OUGgoods, regionsdomestic supply of goodsend,gdp1314, 147, 67
OUPsectors, regionsdomestic productionend,gdp1415, 16, 17, 33, 57
OUTLregionsaggregate output (lagged)gdp,lagged,sta68119
OUTPregionsaggregate outputets,gdp67112, 119, 126, 68, 79
OUTXregionsshock to output targetexo,pctnonenone
OUYgoods, regionscomposite supplyend,gdp2, 3, 413, 5
PBFsec_std, notUSAUSD value of permits sold by firmsexo,gdpnone110, 89, 91, 93
PBFUsec_std, region_USAUSD value of permits sold by firmsend,gdp11088, 90, 92
PBGnotUSAUSD value of permits sold by governmentexo,gdpnone111, 132, 89, 91, 93
PBGUregion_USAUSD value of permits sold by governmentend,gdp111131, 88, 90, 92
PERRregionsprice inflation expectation errorsexo,pctnone119
PGDPregionsGDP implicit price deflatorend,idx,logged87none
PIMgoods_o, dest, origlanded price of importsend,idx,logged6127, 26, 7, 8
PMQgoods_o, regionsimport landed price indexend,idx,logged827, 9
PMRgoods_o, regionsprice of imports incl tariffsend,idx,logged26147, 24, 5, 7
POIsec_std, regionssector price of materialsend,idx,logged143141, 17, 31, 57
PRCEregionshousehold price of energyend,idx,logged144138, 59, 74, 77
PRCLregionsaggregate price of consumer goods laggedidx,lagged,logged,sta83114, 36
PRCOregionshousehold price of materialend,idx,logged145115, 116, 139, 59, 75, 77
PRCOLregionshousehold price of material - laggedidx,lagged,logged,sta115116
PRCTregionsaggregate price of consumer goodsets,idx,logged77113, 114, 117, 119, 35, 36, 59, 70, 73, 74, 75, 76, 83, 85
PRDgoods, regionspost-tax price of goodsend,idx,logged3013, 147, 24, 65, 67
PRDLregionsweighted price of domestic output lagidx,lagged,logged,sta8482
PRDXregionsshock to weighted price of domestic outputexo,pctnonenone
PREsec_std, regionssector price of energyend,idx,logged142140, 16, 31, 57
PRFsec_std, regionsshort run profitsend,gdp57147, 60
PRFTregionstotal economywide profitsend,gdp6069
PRFYregionsprofits on raw capital sectorend,gdp58147, 60
PRFZregionsimputed short run profits on household capitalend,gdp5969
PRGTregionsaggregate price of government goodsend,idx,logged78122, 123, 124, 85
PRIDregionsweighted price of domestic outputets,idx,logged65101, 117, 119, 125, 127, 129, 130, 147, 48, 49, 50, 51, 52, 53, 57, 58, 59, 67, 69, 70, 79, 80, 82, 84, 85, 94, 95, 96, 97, 98
PRIEregionsraw capital sector price of energyend,idx,logged2819, 21, 32, 58
PRIIregionsprice paid by producers for raw capitalend,idx,logged32117, 130, 147, 18, 19, 20, 34, 48, 49, 50, 51, 52, 53, 57, 58, 59, 85, 96, 97, 98
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, 77
PROIregionsraw capital sector price of materialend,idx,logged2920, 22, 32, 58
PRPsectors, regionspre-tax producer priceend,idx,logged3115, 16, 17, 30, 33, 57
PRSgoods, regionsproducer price of compositeend,idx,logged2412, 129, 13, 137, 147, 25, 5
PRTsec_std, goods_e, regionssector-specific input priceend,idx,logged137140, 142
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,logged25122, 123, 124, 138, 139, 141, 143, 144, 145, 21, 22, 28, 29, 78
PTARregionsprice level targetexo,idx,loggednone119
RB10regionsinterest rate, 10-year, realend,pctnonenone
REERregionseffective real exchange rate, FC/domesticend,idx,logged106none
REXCregionsreal exchange rate as US$ per unit of region currencycos,idx,intertemporal_constant,logged103103, 104
REXNregionsreal exchange rate with capital controlsend,idx,logged104100, 101, 106, 108, 109, 132, 69, 71, 72, 89, 91, 94, 96
RISEsec_std, regionsequity risk premium by sector and regiondel,exonone48
RISHregionsrisk premium for human wealthdel,exonone95
RISRregionsrisk premium in the yield curvedel,exonone81
RISWregionsBlanchard probability of deathdel,exonone70, 95
RISYregionsrisk premium for raw-capital sector capitaldel,exonone49
RISZregionsrisk premium for household capitaldel,exonone50
ROGYregionspotential output growth targetexo,pctnone119
RVGSregionsrevenue from unit taxesexo,gdpnone146
SAVIregionsreal domestic saving using real interest ratesend,gdp96none
SAVNregionsreal domestic saving using nominal interest ratesend,gdp97none
SAVTregionsdomestic non-government saving using nominal interest ratesend,gdp98none
SHEFsec_std, regionsautonomous energy efficiency improvementsexo,pctnone16, 31
SHEFCregionsconsumption autonomous energy efficiency improvementsexo,pctnone74, 77
SHKsec_std, regionsshock to capital efficiencyexo,pctnone31, 33
SHKCregionsshock to aggregate consumptionexo,gdpnone70
SHKIregions, sec_stdshock to inv equationexo,gdpnone42
SHKMregionsshock to money demandexo,pctnone79
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, 77
SHYsectors, regionsshock to total factor productivityexo,pctnone15, 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, 77
STMsec_std, regionsstock market valueend,gdp6162, 94
STMTregionstotal stock market valueend,gdp62none
TAXgoods, regionssales tax on compositeexo,pctnone137, 147, 25
TAXCregionsrevenue from sales and company taxesend,gdp147134
TAXEregionsrevenue from externality taxesend,gdp146134
TAXHregionsrevenue from taxes on wagesend,gdp130134, 95
TAXLregionsrevenue from lump-sum taxesend,gdp133134, 69, 95
TAXMregionstariff revenueend,gdp128134
TAXSregionsexogenous lump sum taxexo,gdpnone133
TAXTregionstotal revenueend,gdp134135
TAXXregionsexternal tax revenueend,gdp129134
TBALregionstrade surplus, domestic currencyend,gdp99100, 119, 85, 86, 90, 91
TBAUregionstrade surplus, USDend,gdp10092, 93
TCORregionstax rate on corporate profitsexo,pctnone147, 48, 49, 69
TEXgoods, regionsextern tax on compositeexo,pctnone12, 129
TIFgoods_o, destfta tariff ratesexo,pctnone127, 26, 7
TIMgoods_o, dest, origmultilateral tariff ratesexo,pctnone127, 26, 7
TINCregionstax rate on labor incomeexo,pctnone130, 69
TITCsec_std, regionsinvestment tax credit rateexo,pctnone147, 48, 51, 61
TITCHregionshouseholds investment tax credit rateexo,pctnone130, 50, 53
TIXgoods_o, dest, origmultilateral 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,gdp126135, 69, 95
TRANXregionsexogenous transfersexo,gdpnone126
TXGSsec_std, goods_e, regionsunit tax on goods to sectorsdollar,exonone137
TXMgoods_o, desttariff revenue by goodend,gdp127128
WAGsec_std, regionssector wageend,idx,logged38130, 15, 31, 57, 69, 95
WAGEregionswage rateidx,intertemporal_constant,logged,sta36119, 130, 18, 32, 36, 37, 38, 58, 59, 69, 73, 77, 95
WAGGregionsgovernment wageend,idx,logged37125, 130, 69, 95
WELHregionshuman wealthcos,gdp,intertemporal_constant9594, 95
WELTregionstotal wealthend,gdp9470
WERRregionswage inflation expectation errorsexo,pctnone36
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_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
deltasec_std, regionssector depreciation rate
delta_domgoods_o, regionsdomestic weight in CES function combining domestic and foreign sources
delta_eregions, sec_std, goods_einput 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
delta_yregionsraw capital depreciation rate
delta_zregionshousehold capital depreciation rate
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_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 g13 in goods_e, r19 in regions (95 total):
\[ \href{#OUY}{OUY(g13,r19)} = \href{#CON}{CON(g13,r19)}+\href{#IIN}{IIN(g13,r19)} +\href{#INS}{INS(r19,g13)} +\href{#GCE}{GCE(g13,r19)} +\href{#EXQ}{EXQ(g13,r19)} +\sum_{s \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(\href{#EN}{EN(s,g13,r19)}\right) } \]
Equation 3: OUY
For g15 in goods_mc, r19 in regions (114 total):
\[ \href{#OUY}{OUY(g15,r19)} = \href{#CON}{CON(g15,r19)}+\href{#IIN}{IIN(g15,r19)} +\href{#INS}{INS(r19,g15)} +\href{#GCE}{GCE(g15,r19)} +\href{#EXQ}{EXQ(g15,r19)} +\sum_{s \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(\href{#OI}{OI(s,g15,r19)}\right) } \]
Equation 4: OUY
For g2 in good_durable_manufacturing, r19 in regions (19 total):
\[ \href{#OUY}{OUY(g2,r19)} = \href{#IIN}{IIN(g2,r19)}+\href{#INS}{INS(r19,g2)} +\href{#GCE}{GCE(g2,r19)} +\href{#EXQ}{EXQ(g2,r19)} +\sum_{s \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(\href{#OI}{OI(s,g2,r19)}\right) } \]
Equation 5: IMQ
For g16 in goods_o, r19 in regions (228 total):
\[ \href{#IMQ}{IMQ(g16,r19)} = {(1-\href{#delta_dom}{delta\_dom(g16,r19)})} *\href{#OUY}{OUY(g16,r19)} *exp{ \left( \href{#PRS}{PRS(g16,r19)}-\href{#PMR}{PMR(g16,r19)}\right) } ^\href{#sigma_df}{sigma\_df(g16,r19)} \]
Equation 6: PIM
For d in dest, g16 in goods_o, o in orig (4332 total):
\[ \href{#PIM}{PIM(g16,d,o)} = \href{#EXCH}{EXCH(o)}+\href{#PRX}{PRX(g16,o)} -\href{#EXCH}{EXCH(d)} \]
Equation 7: IMP
For d in dest, g16 in goods_o, o in orig (4332 total):
\[ \href{#IMP}{IMP(g16,d,o)} = \href{#delta_ff}{delta\_ff(g16,d,o)}*\href{#IMQ}{IMQ(g16,d)} *{(\href{#BCT}{BCT(g16,d,o)} +{(1 +{(\href{#TIM}{TIM(g16,d,o)}+\href{#TIX}{TIX(g16,d,o)})} *\href{#MUL}{MUL(d,o)} +\href{#TIF}{TIF(g16,d)}*\href{#FTA}{FTA(d,o)})} *exp{ \left( \href{#PIM}{PIM(g16,d,o)}-\href{#PMR}{PMR(g16,d)}\right) })} ^{(-\href{#sigma_ff}{sigma\_ff(g16,d)})} +\href{#IMPX}{IMPX(g16,d,o)} \]
Equation 8: PMQ
For d in dest, g16 in goods_o (228 total):
\[ \href{#PMQ}{PMQ(g16,d)} = ln{ \left( \frac{\sum_{o \; \text{in} \; \href{#orig}{orig}} { \left(\href{#IMP}{IMP(g16,d,o)} *exp{ \left(\href{#PIM}{PIM(g16,d,o)}\right) }\right) }}{\href{#IMQ}{IMQ(g16,d)}}\right) } \]
Equation 9: IMQT
For r19 in regions (19 total):
\[ \href{#IMQT}{IMQT(r19)} = \frac{\sum_{g16 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(exp{ \left(\href{#PMQ}{PMQ(g16,r19)}\right) } *\href{#IMQ}{IMQ(g16,r19)}\right) }}{exp{ \left(\href{#PRIM}{PRIM(r19)}\right) }} \]
Equation 10: EXQT
For r19 in regions (19 total):
\[ \href{#EXQT}{EXQT(r19)} = \frac{\sum_{g16 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(exp{ \left(\href{#PRX}{PRX(g16,r19)}\right) } *\href{#EXQ}{EXQ(g16,r19)}\right) }}{exp{ \left(\href{#PRIX}{PRIX(r19)}\right) }} \]
Equation 11: EXQ
For g16 in goods_o, o in orig (228 total):
\[ \href{#EXQ}{EXQ(g16,o)} = \sum_{d \; \text{in} \; \href{#dest}{dest}} { \left(\href{#IMP}{IMP(g16,d,o)}\right) } \]
Equation 12: PRX
For g16 in goods_o, r19 in regions (228 total):
\[ \href{#PRX}{PRX(g16,r19)} = ln{ \left( {(1+\href{#TEX}{TEX(g16,r19)})} *exp{ \left(\href{#PRS}{PRS(g16,r19)}\right) }\right) } \]
Equation 13: OUG
For g16 in goods_o, r19 in regions (228 total):
\[ \href{#OUG}{OUG(g16,r19)} = \href{#delta_dom}{delta\_dom(g16,r19)}*\href{#OUY}{OUY(g16,r19)} *exp{ \left( \href{#PRS}{PRS(g16,r19)}-\href{#PRD}{PRD(g16,r19)}\right) } ^\href{#sigma_df}{sigma\_df(g16,r19)} \]
Equation 14: OUP
For r19 in regions, s15 in sectors (228 total):
\[ \href{#OUP}{OUP(s15,r19)} = \sum_{g12 \; \text{in} \; \href{#goods}{goods}} { \left(\href{#makeinv}{makeinv(g12,s15,r19)}*\href{#OUG}{OUG(g12,r19)}\right) } \]
Equation 15: LAB
For r19 in regions, s in sec_std (228 total):
\[ \href{#LAB}{LAB(s,r19)} = exp{ \left( \href{#SHL}{SHL(r19,s)}+\href{#SHY}{SHY(s,r19)}\right) } ^{(\href{#sigma_o}{sigma\_o(s,r19)}-1)} *\href{#delta_o}{delta\_o(\text{l},s,r19)} *\href{#OUP}{OUP(s,r19)} *exp{ \left( \href{#PRP}{PRP(s,r19)}-\href{#WAG}{WAG(s,r19)}\right) } ^\href{#sigma_o}{sigma\_o(s,r19)} \]
Equation 16: ENT
For r19 in regions, s in sec_std (228 total):
\[ \href{#ENT}{ENT(s,r19)} = exp{ \left( \href{#SHEF}{SHEF(s,r19)}+\href{#SHY}{SHY(s,r19)}\right) } ^{(\href{#sigma_o}{sigma\_o(s,r19)}-1)} *\href{#delta_o}{delta\_o(\text{e},s,r19)} *\href{#OUP}{OUP(s,r19)} *exp{ \left( \href{#PRP}{PRP(s,r19)}-\href{#PRE}{PRE(s,r19)}\right) } ^\href{#sigma_o}{sigma\_o(s,r19)} \]
Equation 17: OIN
For r19 in regions, s in sec_std (228 total):
\[ \href{#OIN}{OIN(s,r19)} = exp{ \left(\href{#SHY}{SHY(s,r19)}\right) } ^{(\href{#sigma_o}{sigma\_o(s,r19)}-1)} *\href{#delta_o}{delta\_o(\text{m},s,r19)} *\href{#OUP}{OUP(s,r19)} *exp{ \left( \href{#PRP}{PRP(s,r19)}-\href{#POI}{POI(s,r19)}\right) } ^\href{#sigma_o}{sigma\_o(s,r19)} \]
Equation 18: IITL
For r19 in regions (19 total):
\[ \href{#IITL}{IITL(r19)} = exp{ \left( \href{#SHLY}{SHLY(r19)}+\href{#SHYY}{SHYY(r19)}\right) } ^{(\href{#sigma_oR}{sigma\_oR(r19)}-1)} *\href{#delta_oR}{delta\_oR(\text{l},r19)} *\href{#INVT}{INVT(r19)} *exp{ \left( \href{#PRII}{PRII(r19)}-\href{#WAGE}{WAGE(r19)}\right) } ^\href{#sigma_oR}{sigma\_oR(r19)} \]
Equation 19: IITE
For r19 in regions (19 total):
\[ \href{#IITE}{IITE(r19)} = exp{ \left(\href{#SHYY}{SHYY(r19)}\right) } ^{(\href{#sigma_oR}{sigma\_oR(r19)}-1)} *\href{#delta_oR}{delta\_oR(\text{e},r19)} *\href{#INVT}{INVT(r19)} *exp{ \left( \href{#PRII}{PRII(r19)}-\href{#PRIE}{PRIE(r19)}\right) } ^\href{#sigma_oR}{sigma\_oR(r19)} \]
Equation 20: IITO
For r19 in regions (19 total):
\[ \href{#IITO}{IITO(r19)} = exp{ \left(\href{#SHYY}{SHYY(r19)}\right) } ^{(\href{#sigma_oR}{sigma\_oR(r19)}-1)} *\href{#delta_oR}{delta\_oR(\text{m},r19)} *\href{#INVT}{INVT(r19)} *exp{ \left( \href{#PRII}{PRII(r19)}-\href{#PROI}{PROI(r19)}\right) } ^\href{#sigma_oR}{sigma\_oR(r19)} \]
Equation 21: IIN
For g13 in goods_e, r19 in regions (95 total):
\[ \href{#IIN}{IIN(g13,r19)} = \href{#delta_eR}{delta\_eR(g13,r19)}*\href{#IITE}{IITE(r19)} *exp{ \left( \href{#PRIE}{PRIE(r19)}-\href{#PRY}{PRY(g13,r19)}\right) } ^\href{#sigma_eR}{sigma\_eR(r19)} \]
Equation 22: IIN
For g14 in goods_m, r19 in regions (133 total):
\[ \href{#IIN}{IIN(g14,r19)} = \href{#delta_mR}{delta\_mR(g14,r19)}*\href{#IITO}{IITO(r19)} *exp{ \left( \href{#PROI}{PROI(r19)}-\href{#PRY}{PRY(g14,r19)}\right) } ^\href{#sigma_mR}{sigma\_mR(r19)} \]
Equation 23: LABO
For r19 in regions (19 total):
\[ \href{#LABO}{LABO(r19)} = \href{#IITL}{IITL(r19)}+\href{#CNPL}{CNPL(r19)} +\href{#GOVL}{GOVL(r19)} +\sum_{s \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(\href{#LAB}{LAB(s,r19)}\right) } \]
Equation 24: PRS
For g16 in goods_o, r19 in regions (228 total):
\[ \href{#PRS}{PRS(g16,r19)} = \href{#cd_df}{cd\_df(g16,r19)} *{(\href{#delta_dom}{delta\_dom(g16,r19)}*\href{#PRD}{PRD(g16,r19)} +{(1-\href{#delta_dom}{delta\_dom(g16,r19)})} *\href{#PMR}{PMR(g16,r19)})} +\frac{{({(1-\href{#cd_df}{cd\_df(g16,r19)})} *ln{ \left( \href{#delta_dom}{delta\_dom(g16,r19)} *exp{ \left(\href{#PRD}{PRD(g16,r19)}\right) } ^{(1-\href{#sigma_df}{sigma\_df(g16,r19)})} +{(1-\href{#delta_dom}{delta\_dom(g16,r19)})} *exp{ \left(\href{#PMR}{PMR(g16,r19)}\right) } ^{(1-\href{#sigma_df}{sigma\_df(g16,r19)})}\right) })}}{{(1 -\href{#sigma_df}{sigma\_df(g16,r19)} *{(1-\href{#cd_df}{cd\_df(g16,r19)})})}} \]
Equation 25: PRY
For g12 in goods, r19 in regions (228 total):
\[ \href{#PRY}{PRY(g12,r19)} = ln{ \left(1+\href{#TAX}{TAX(g12,r19)}\right) } +\href{#PRS}{PRS(g12,r19)} \]
Equation 26: PMR
For d in dest, g16 in goods_o (228 total):
\[ \href{#PMR}{PMR(g16,d)} = 0.0 +\href{#cd_ff}{cd\_ff(g16,d)} *\sum_{o \; \text{in} \; \href{#orig}{orig}} { \left(\href{#delta_ff}{delta\_ff(g16,d,o)} *ln{ \left( \href{#BCT}{BCT(g16,d,o)} +{(1 +{(\href{#TIM}{TIM(g16,d,o)}+\href{#TIX}{TIX(g16,d,o)})} *\href{#MUL}{MUL(d,o)} +\href{#TIF}{TIF(g16,d)}*\href{#FTA}{FTA(d,o)})} *exp{ \left(\href{#PIM}{PIM(g16,d,o)}\right) }\right) }\right) } +\frac{{({(1-\href{#cd_ff}{cd\_ff(g16,d)})} *ln{ \left( \sum_{o \; \text{in} \; \href{#orig}{orig}} { \left(\href{#delta_ff}{delta\_ff(g16,d,o)} *{(\href{#BCT}{BCT(g16,d,o)} +{(1 +{(\href{#TIM}{TIM(g16,d,o)}+\href{#TIX}{TIX(g16,d,o)})} *\href{#MUL}{MUL(d,o)} +\href{#TIF}{TIF(g16,d)}*\href{#FTA}{FTA(d,o)})} *exp{ \left(\href{#PIM}{PIM(g16,d,o)}\right) })} ^{(1-\href{#sigma_ff}{sigma\_ff(g16,d)})}\right) }\right) })}}{{(1 -\href{#sigma_ff}{sigma\_ff(g16,d)}*{(1-\href{#cd_ff}{cd\_ff(g16,d)})})}} \]
Equation 27: PRIM
For r19 in regions (19 total):
\[ \href{#PRIM}{PRIM(r19)} = \sum_{g16 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(\href{#prim_weight}{prim\_weight(g16,r19)} *\href{#PMQ}{PMQ(g16,r19)}\right) } \]
Equation 28: PRIE
For r19 in regions (19 total):
\[ \href{#PRIE}{PRIE(r19)} = \href{#cd_eR}{cd\_eR(r19)} *\sum_{g13 \; \text{in} \; \href{#goods_e}{goods\_e}} { \left(\href{#delta_eR}{delta\_eR(g13,r19)}*\href{#PRY}{PRY(g13,r19)}\right) } +\frac{{({(1-\href{#cd_eR}{cd\_eR(r19)})} *ln{ \left( \sum_{g13 \; \text{in} \; \href{#goods_e}{goods\_e}} { \left(\href{#delta_eR}{delta\_eR(g13,r19)} *exp{ \left(\href{#PRY}{PRY(g13,r19)}\right) } ^{(1-\href{#sigma_eR}{sigma\_eR(r19)})}\right) }\right) })}}{{(1 -\href{#sigma_eR}{sigma\_eR(r19)}*{(1-\href{#cd_eR}{cd\_eR(r19)})})}} \]
Equation 29: PROI
For r19 in regions (19 total):
\[ \href{#PROI}{PROI(r19)} = \href{#cd_mR}{cd\_mR(r19)} *\sum_{g14 \; \text{in} \; \href{#goods_m}{goods\_m}} { \left(\href{#delta_mR}{delta\_mR(g14,r19)}*\href{#PRY}{PRY(g14,r19)}\right) } +\frac{{({(1-\href{#cd_mR}{cd\_mR(r19)})} *ln{ \left( \sum_{g14 \; \text{in} \; \href{#goods_m}{goods\_m}} { \left(\href{#delta_mR}{delta\_mR(g14,r19)} *exp{ \left(\href{#PRY}{PRY(g14,r19)}\right) } ^{(1-\href{#sigma_mR}{sigma\_mR(r19)})}\right) }\right) })}}{{(1 -\href{#sigma_mR}{sigma\_mR(r19)}*{(1-\href{#cd_mR}{cd\_mR(r19)})})}} \]
Equation 30: PRD
For g12 in goods, r19 in regions (228 total):
\[ \href{#PRD}{PRD(g12,r19)} = ln{ \left( exp{ \left( \sum_{s15 \; \text{in} \; \href{#sectors}{sectors}} { \left(\href{#makeinv}{makeinv(g12,s15,r19)}*\href{#PRP}{PRP(s15,r19)}\right) }\right) }\right) } \]
Equation 31: PRP
For r19 in regions, s in sec_std (228 total):
\[ \href{#PRP}{PRP(s,r19)} = \href{#cd_o}{cd\_o(s,r19)} *{(\href{#delta_o}{delta\_o(\text{k},s,r19)} *\href{#PRK}{PRK(s,r19)} +\href{#delta_o}{delta\_o(\text{l},s,r19)} *\href{#WAG}{WAG(s,r19)} +\href{#delta_o}{delta\_o(\text{e},s,r19)} *\href{#PRE}{PRE(s,r19)} +\href{#delta_o}{delta\_o(\text{m},s,r19)} *\href{#POI}{POI(s,r19)} -\href{#delta_o}{delta\_o(\text{l},s,r19)} *\href{#SHL}{SHL(r19,s)} -\href{#delta_o}{delta\_o(\text{k},s,r19)} *\href{#SHK}{SHK(s,r19)} -\href{#delta_o}{delta\_o(\text{e},s,r19)} *\href{#SHEF}{SHEF(s,r19)})} +\frac{{({(1-\href{#cd_o}{cd\_o(s,r19)})} *ln{ \left( \href{#delta_o}{delta\_o(\text{k},s,r19)} *exp{ \left( \href{#PRK}{PRK(s,r19)}-\href{#SHK}{SHK(s,r19)}\right) } ^{(1-\href{#sigma_o}{sigma\_o(s,r19)})} +\href{#delta_o}{delta\_o(\text{l},s,r19)} *exp{ \left( \href{#WAG}{WAG(s,r19)}-\href{#SHL}{SHL(r19,s)}\right) } ^{(1-\href{#sigma_o}{sigma\_o(s,r19)})} +\href{#delta_o}{delta\_o(\text{e},s,r19)} *exp{ \left( \href{#PRE}{PRE(s,r19)}-\href{#SHEF}{SHEF(s,r19)}\right) } ^{(1-\href{#sigma_o}{sigma\_o(s,r19)})} +\href{#delta_o}{delta\_o(\text{m},s,r19)} *exp{ \left(\href{#POI}{POI(s,r19)}\right) } ^{(1-\href{#sigma_o}{sigma\_o(s,r19)})}\right) })}}{{(1 -\href{#sigma_o}{sigma\_o(s,r19)}*{(1-\href{#cd_o}{cd\_o(s,r19)})})}} -\href{#SHY}{SHY(s,r19)} \]
Equation 32: PRII
For r19 in regions (19 total):
\[ \href{#PRII}{PRII(r19)} = \href{#cd_oR}{cd\_oR(r19)} *{(\href{#delta_oR}{delta\_oR(\text{k},r19)} *\href{#PRKY}{PRKY(r19)} +\href{#delta_oR}{delta\_oR(\text{l},r19)} *\href{#WAGE}{WAGE(r19)} +\href{#delta_oR}{delta\_oR(\text{e},r19)} *\href{#PRIE}{PRIE(r19)} +\href{#delta_oR}{delta\_oR(\text{m},r19)} *\href{#PROI}{PROI(r19)} -\href{#delta_oR}{delta\_oR(\text{l},r19)} *\href{#SHLY}{SHLY(r19)})} +\frac{{({(1-\href{#cd_oR}{cd\_oR(r19)})} *ln{ \left( \href{#delta_oR}{delta\_oR(\text{k},r19)} *exp{ \left(\href{#PRKY}{PRKY(r19)}\right) } ^{(1-\href{#sigma_oR}{sigma\_oR(r19)})} +\href{#delta_oR}{delta\_oR(\text{l},r19)} *exp{ \left( \href{#WAGE}{WAGE(r19)}-\href{#SHLY}{SHLY(r19)}\right) } ^{(1-\href{#sigma_oR}{sigma\_oR(r19)})} +\href{#delta_oR}{delta\_oR(\text{e},r19)} *exp{ \left(\href{#PRIE}{PRIE(r19)}\right) } ^{(1-\href{#sigma_oR}{sigma\_oR(r19)})} +\href{#delta_oR}{delta\_oR(\text{m},r19)} *exp{ \left(\href{#PROI}{PROI(r19)}\right) } ^{(1-\href{#sigma_oR}{sigma\_oR(r19)})}\right) })}}{{(1 -\href{#sigma_oR}{sigma\_oR(r19)}*{(1-\href{#cd_oR}{cd\_oR(r19)})})}} -\href{#SHYY}{SHYY(r19)} \]
Equation 33: PRK
For r19 in regions, s in sec_std (228 total):
\[ \href{#PRK}{PRK(s,r19)} = \href{#PRP}{PRP(s,r19)} +\frac{ln{ \left( \frac{{(\href{#delta_o}{delta\_o(\text{k},s,r19)} *\href{#OUP}{OUP(s,r19)})}}{\href{#CAP}{CAP(s,r19)}}\right) }}{\href{#sigma_o}{sigma\_o(s,r19)}} +\frac{{({(\href{#SHY}{SHY(s,r19)}+\href{#SHK}{SHK(s,r19)})} *{(\href{#sigma_o}{sigma\_o(s,r19)}-1)})}}{\href{#sigma_o}{sigma\_o(s,r19)}} \]
Equation 34: PRKY
For r19 in regions (19 total):
\[ \href{#PRKY}{PRKY(r19)} = \href{#PRII}{PRII(r19)} +\frac{ln{ \left( \frac{{(\href{#delta_oR}{delta\_oR(\text{k},r19)} *\href{#INVT}{INVT(r19)})}}{\href{#CAPY}{CAPY(r19)}}\right) }}{\href{#sigma_oR}{sigma\_oR(r19)}} +\frac{{(\href{#SHYY}{SHYY(r19)}*{(\href{#sigma_oR}{sigma\_oR(r19)}-1)})}}{\href{#sigma_oR}{sigma\_oR(r19)}} \]
Equation 35: PRKZ
For r19 in regions (19 total):
\[ \href{#PRKZ}{PRKZ(r19)} = \href{#PRCT}{PRCT(r19)} +\frac{ln{ \left( \frac{{(\href{#delta_oH}{delta\_oH(\text{k},r19)} *\href{#CONP}{CONP(r19)})}}{\href{#CAPZ}{CAPZ(r19)}}\right) }}{\href{#sigma_oH}{sigma\_oH(r19)}} +\frac{{(\href{#SHYZ}{SHYZ(r19)}*{(\href{#sigma_oH}{sigma\_oH(r19)}-1)})}}{\href{#sigma_oH}{sigma\_oH(r19)}} \]
Equation 36: WAGE
For r19 in regions (19 total):
\[ lead({\href{#WAGE}{WAGE(r19)}}) = \href{#WAGE}{WAGE(r19)} +\href{#wage_p}{wage\_p(r19)} *{(lead({\href{#PRCT}{PRCT(r19)}})-\href{#PRCT}{PRCT(r19)} +\href{#PRXX}{PRXX(r19)})} +{(1-\href{#wage_p}{wage\_p(r19)})} *{(\href{#PRCT}{PRCT(r19)}-\href{#PRCL}{PRCL(r19)})} +\href{#wage_q}{wage\_q(r19)} *{(ln{ \left(\href{#LABO}{LABO(r19)}\right) } -ln{ \left(\href{#LABX}{LABX(r19)}\right) })} +\href{#WERR}{WERR(r19)} \]
Equation 37: WAGG
For r19 in regions (19 total):
\[ \href{#WAGG}{WAGG(r19)} = \href{#WAGE}{WAGE(r19)} \]
Equation 38: WAG
For r19 in regions, s in sec_std (228 total):
\[ \href{#WAG}{WAG(s,r19)} = \href{#WAGE}{WAGE(r19)} \]
Equation 39: CAP
For r19 in regions, s in sec_std (228 total):
\[ lead({\href{#CAP}{CAP(s,r19)}}) = \href{#JNV}{JNV(s,r19)} +{(1-\href{#delta}{delta(s,r19)}-\href{#labgrow}{labgrow(r19)})} *\href{#CAP}{CAP(s,r19)} \]
Equation 40: CAPY
For r19 in regions (19 total):
\[ lead({\href{#CAPY}{CAPY(r19)}}) = \href{#JNVY}{JNVY(r19)} +{(1-\href{#delta_y}{delta\_y(r19)}-\href{#labgrow}{labgrow(r19)})} *\href{#CAPY}{CAPY(r19)} \]
Equation 41: CAPZ
For r19 in regions (19 total):
\[ lead({\href{#CAPZ}{CAPZ(r19)}}) = \href{#JNVZ}{JNVZ(r19)} +{(1-\href{#delta_z}{delta\_z(r19)}-\href{#labgrow}{labgrow(r19)})} *\href{#CAPZ}{CAPZ(r19)} \]
Equation 42: INV
For r19 in regions, s in sec_std (228 total):
\[ \href{#INV}{INV(s,r19)} = \frac{{({(1+.5*{(\href{#TOB}{TOB(s,r19)}-1)})}*{(\href{#TOB}{TOB(s,r19)}-1)} *\href{#CAP}{CAP(s,r19)})}}{\href{#phi}{phi(s,r19)}} *\href{#forei}{forei(s,r19)} +\frac{{({(1+.5*{(\href{#TPA}{TPA(s,r19)}-1)})}*{(\href{#TPA}{TPA(s,r19)}-1)} *\href{#CAP}{CAP(s,r19)})}}{\href{#phi}{phi(s,r19)}} *{(1-\href{#forei}{forei(s,r19)})} +\href{#SHKI}{SHKI(r19,s)} \]
Equation 43: JNV
For r19 in regions, s in sec_std (228 total):
\[ \href{#JNV}{JNV(s,r19)} = \frac{{(\href{#INV}{INV(s,r19)} +\frac{\href{#phi}{phi(s,r19)}}{2}*\href{#base_jk}{base\_jk(s,r19)}^2 *\href{#CAP}{CAP(s,r19)})}}{{(1 +\href{#phi}{phi(s,r19)}*\href{#base_jk}{base\_jk(s,r19)})}} \]
Equation 44: INVY
For r19 in regions (19 total):
\[ \href{#INVY}{INVY(r19)} = \href{#JNVY}{JNVY(r19)} *{(1 +\frac{{(\frac{\href{#phi_y}{phi\_y(r19)}}{2}*\href{#JNVY}{JNVY(r19)})}}{\href{#CAPY}{CAPY(r19)}})} \]
Equation 45: INVZ
For r19 in regions (19 total):
\[ \href{#INVZ}{INVZ(r19)} = \href{#JNVZ}{JNVZ(r19)} *{(1 +\frac{{(\frac{\href{#phi_z}{phi\_z(r19)}}{2}*\href{#JNVZ}{JNVZ(r19)})}}{\href{#CAPZ}{CAPZ(r19)}})} \]
Equation 46: JNVY
For r19 in regions (19 total):
\[ \href{#JNVY}{JNVY(r19)} = \frac{{(\href{#CAPY}{CAPY(r19)} *{(\href{#fore_i_y}{fore\_i\_y(r19)}*\href{#TOBY}{TOBY(r19)} +{(1-\href{#fore_i_y}{fore\_i\_y(r19)})}*\href{#TPAY}{TPAY(r19)} -1)})}}{\href{#phi_y}{phi\_y(r19)}} \]
Equation 47: JNVZ
For r19 in regions (19 total):
\[ \href{#JNVZ}{JNVZ(r19)} = \frac{{(\href{#CAPZ}{CAPZ(r19)} *{(\href{#fore_i_z}{fore\_i\_z(r19)}*\href{#TOBZ}{TOBZ(r19)} +{(1-\href{#fore_i_z}{fore\_i\_z(r19)})}*\href{#TPAZ}{TPAZ(r19)} -1)})}}{\href{#phi_z}{phi\_z(r19)}} \]
Equation 48: LAM
For r19 in regions, s in sec_std (228 total):
\[ lead({\href{#LAM}{LAM(s,r19)}}) = {(1+\href{#INTR}{INTR(r19)}+\href{#RISE}{RISE(s,r19)} +\href{#delta}{delta(s,r19)})} *\href{#LAM}{LAM(s,r19)} -{(1-\href{#TCOR}{TCOR(r19)})} *exp{ \left( \href{#PRK}{PRK(s,r19)}-\href{#PRID}{PRID(r19)}\right) } -{(1-\href{#TITC}{TITC(s,r19)})} *exp{ \left( \href{#PRII}{PRII(r19)}-\href{#PRID}{PRID(r19)}\right) } *\frac{\href{#phi}{phi(s,r19)}}{2} *\frac{\href{#JNV}{JNV(s,r19)}}{\href{#CAP}{CAP(s,r19)}} ^2 \]
Equation 49: LAMY
For r19 in regions (19 total):
\[ lead({\href{#LAMY}{LAMY(r19)}}) = {(1+\href{#INTR}{INTR(r19)}+\href{#RISY}{RISY(r19)} +\href{#delta_y}{delta\_y(r19)})} *\href{#LAMY}{LAMY(r19)} -{(1-\href{#TCOR}{TCOR(r19)})} *exp{ \left( \href{#PRKY}{PRKY(r19)}-\href{#PRID}{PRID(r19)}\right) } -exp{ \left( \href{#PRII}{PRII(r19)}-\href{#PRID}{PRID(r19)}\right) } *\frac{\href{#phi_y}{phi\_y(r19)}}{2} *\frac{\href{#JNVY}{JNVY(r19)}}{\href{#CAPY}{CAPY(r19)}} ^2 \]
Equation 50: LAMZ
For r19 in regions (19 total):
\[ lead({\href{#LAMZ}{LAMZ(r19)}}) = {(1+\href{#INTR}{INTR(r19)}+\href{#RISZ}{RISZ(r19)} +\href{#delta_z}{delta\_z(r19)})} *\href{#LAMZ}{LAMZ(r19)} -exp{ \left( \href{#PRKZ}{PRKZ(r19)}-\href{#PRID}{PRID(r19)}\right) } -{(1-\href{#TITCH}{TITCH(r19)})} *exp{ \left( \href{#PRII}{PRII(r19)}-\href{#PRID}{PRID(r19)}\right) } *\frac{\href{#phi_z}{phi\_z(r19)}}{2} *\frac{\href{#JNVZ}{JNVZ(r19)}}{\href{#CAPZ}{CAPZ(r19)}} ^2 \]
Equation 51: TOB
For r19 in regions, s in sec_std (228 total):
\[ \href{#TOB}{TOB(s,r19)} = \frac{{(\href{#LAM}{LAM(s,r19)} *exp{ \left( \href{#PRID}{PRID(r19)}-\href{#PRII}{PRII(r19)}\right) })}}{{(1-\href{#TITC}{TITC(s,r19)})}} \]
Equation 52: TOBY
For r19 in regions (19 total):
\[ \href{#TOBY}{TOBY(r19)} = \href{#LAMY}{LAMY(r19)} *exp{ \left( \href{#PRID}{PRID(r19)}-\href{#PRII}{PRII(r19)}\right) } \]
Equation 53: TOBZ
For r19 in regions (19 total):
\[ \href{#TOBZ}{TOBZ(r19)} = \frac{{(\href{#LAMZ}{LAMZ(r19)} *exp{ \left( \href{#PRID}{PRID(r19)}-\href{#PRII}{PRII(r19)}\right) })}}{{(1-\href{#TITCH}{TITCH(r19)})}} \]
Equation 54: TPA
For r19 in regions, s in sec_std (228 total):
\[ lead({\href{#TPA}{TPA(s,r19)}}) = \href{#TPA}{TPA(s,r19)} +\href{#adapt}{adapt(r19)} *{(\href{#TOB}{TOB(s,r19)}-\href{#TPA}{TPA(s,r19)})} \]
Equation 55: TPAY
For r19 in regions (19 total):
\[ lead({\href{#TPAY}{TPAY(r19)}}) = \href{#TPAY}{TPAY(r19)} +\href{#adapt}{adapt(r19)} *{(\href{#TOBY}{TOBY(r19)}-\href{#TPAY}{TPAY(r19)})} \]
Equation 56: TPAZ
For r19 in regions (19 total):
\[ lead({\href{#TPAZ}{TPAZ(r19)}}) = \href{#TPAZ}{TPAZ(r19)} +\href{#adapt}{adapt(r19)} *{(\href{#TOBZ}{TOBZ(r19)}-\href{#TPAZ}{TPAZ(r19)})} \]
Equation 57: PRF
For r19 in regions, s in sec_std (228 total):
\[ \href{#PRF}{PRF(s,r19)} = \frac{{(\href{#OUP}{OUP(s,r19)} *exp{ \left(\href{#PRP}{PRP(s,r19)}\right) } -\href{#ENT}{ENT(s,r19)} *exp{ \left(\href{#PRE}{PRE(s,r19)}\right) } -\href{#LAB}{LAB(s,r19)} *exp{ \left(\href{#WAG}{WAG(s,r19)}\right) } -\href{#OIN}{OIN(s,r19)} *exp{ \left(\href{#POI}{POI(s,r19)}\right) } -\href{#delta}{delta(s,r19)}*\href{#CAP}{CAP(s,r19)} *exp{ \left(\href{#PRII}{PRII(r19)}\right) })}}{exp{ \left(\href{#PRID}{PRID(r19)}\right) }} \]
Equation 58: PRFY
For r19 in regions (19 total):
\[ \href{#PRFY}{PRFY(r19)} = \frac{{(\href{#INVT}{INVT(r19)} *exp{ \left(\href{#PRII}{PRII(r19)}\right) } -\href{#IITE}{IITE(r19)} *exp{ \left(\href{#PRIE}{PRIE(r19)}\right) } -\href{#IITL}{IITL(r19)} *exp{ \left(\href{#WAGE}{WAGE(r19)}\right) } -\href{#IITO}{IITO(r19)} *exp{ \left(\href{#PROI}{PROI(r19)}\right) } -\href{#delta_y}{delta\_y(r19)}*\href{#CAPY}{CAPY(r19)} *exp{ \left(\href{#PRII}{PRII(r19)}\right) })}}{exp{ \left(\href{#PRID}{PRID(r19)}\right) }} \]
Equation 59: PRFZ
For r19 in regions (19 total):
\[ \href{#PRFZ}{PRFZ(r19)} = \frac{{(\href{#CONP}{CONP(r19)} *exp{ \left(\href{#PRCT}{PRCT(r19)}\right) } -\href{#CNPE}{CNPE(r19)} *exp{ \left(\href{#PRCE}{PRCE(r19)}\right) } -\href{#CNPL}{CNPL(r19)} *exp{ \left(\href{#WAGE}{WAGE(r19)}\right) } -\href{#CNPO}{CNPO(r19)} *exp{ \left(\href{#PRCO}{PRCO(r19)}\right) } -\href{#delta_z}{delta\_z(r19)}*\href{#CAPZ}{CAPZ(r19)} *exp{ \left(\href{#PRII}{PRII(r19)}\right) })}}{exp{ \left(\href{#PRID}{PRID(r19)}\right) }} \]
Equation 60: PRFT
For r19 in regions (19 total):
\[ \href{#PRFT}{PRFT(r19)} = \sum_{s \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(\href{#PRF}{PRF(s,r19)}\right) } +\href{#PRFY}{PRFY(r19)} \]
Equation 61: STM
For r19 in regions, s in sec_std (228 total):
\[ \href{#STM}{STM(s,r19)} = \frac{{(\href{#LAM}{LAM(s,r19)}*\href{#CAP}{CAP(s,r19)})}}{{(1-\href{#TITC}{TITC(s,r19)})}} \]
Equation 62: STMT
For r19 in regions (19 total):
\[ \href{#STMT}{STMT(r19)} = \sum_{s \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(\href{#STM}{STM(s,r19)}\right) } \]
Equation 63: INVP
For r19 in regions (19 total):
\[ \href{#INVP}{INVP(r19)} = \sum_{s \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(\href{#INV}{INV(s,r19)}\right) } \]
Equation 64: INVT
For r19 in regions (19 total):
\[ \href{#INVT}{INVT(r19)} = \href{#INVY}{INVY(r19)}+\href{#INVZ}{INVZ(r19)} +\href{#INVP}{INVP(r19)} \]
Equation 65: PRID
For r19 in regions (19 total):
\[ \href{#PRID}{PRID(r19)} = \sum_{g12 \; \text{in} \; \href{#goods}{goods}} { \left(\href{#prid_weight}{prid\_weight(g12,r19)} *\href{#PRD}{PRD(g12,r19)}\right) } \]
Equation 66: PRIX
For r19 in regions (19 total):
\[ \href{#PRIX}{PRIX(r19)} = \sum_{g16 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(\href{#prix_weight}{prix\_weight(g16,r19)} *\href{#PRX}{PRX(g16,r19)}\right) } \]
Equation 67: OUTP
For r19 in regions (19 total):
\[ \href{#OUTP}{OUTP(r19)} = \frac{\sum_{g12 \; \text{in} \; \href{#goods}{goods}} { \left(exp{ \left(\href{#PRD}{PRD(g12,r19)}\right) } *\href{#OUG}{OUG(g12,r19)}\right) }}{exp{ \left(\href{#PRID}{PRID(r19)}\right) }} \]
Equation 68: OUTL
For r19 in regions (19 total):
\[ lead({\href{#OUTL}{OUTL(r19)}}) = \href{#OUTP}{OUTP(r19)} \]
Equation 69: INCM
For r19 in regions (19 total):
\[ \href{#INCM}{INCM(r19)} = \href{#TRAN}{TRAN(r19)}-\href{#TAXL}{TAXL(r19)} +\href{#INTR}{INTR(r19)}*\href{#BOND}{BOND(r19)} +\frac{\href{#IRAS}{IRAS(r19)}}{exp{ \left(\href{#REXN}{REXN(r19)}\right) }} +\href{#PRFZ}{PRFZ(r19)} +{(1-\href{#TCOR}{TCOR(r19)})}*\href{#PRFT}{PRFT(r19)} +\frac{{({(1-\href{#TINC}{TINC(r19)})} *{(exp{ \left(\href{#WAGE}{WAGE(r19)}\right) } *{(\href{#IITL}{IITL(r19)}+\href{#CNPL}{CNPL(r19)})} +exp{ \left(\href{#WAGG}{WAGG(r19)}\right) } *\href{#GOVL}{GOVL(r19)} +\sum_{s \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(exp{ \left(\href{#WAG}{WAG(s,r19)}\right) } *\href{#LAB}{LAB(s,r19)}\right) })})}}{exp{ \left(\href{#PRID}{PRID(r19)}\right) }} \]
Equation 70: CONP
For r19 in regions (19 total):
\[ \href{#CONP}{CONP(r19)} = \href{#fore_c}{fore\_c(r19)} *{(\href{#timepref}{timepref(r19)}+\href{#RISW}{RISW(r19)})} *\href{#WELT}{WELT(r19)} *exp{ \left( \href{#PRID}{PRID(r19)}-\href{#PRCT}{PRCT(r19)}\right) } +{(1-\href{#fore_c}{fore\_c(r19)})}*\href{#mpc}{mpc(r19)} *\href{#INCM}{INCM(r19)} *exp{ \left( \href{#PRID}{PRID(r19)}-\href{#PRCT}{PRCT(r19)}\right) } +\href{#SHKC}{SHKC(r19)} \]
Equation 71: IRAS
For o1 in owner (19 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 (19 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 r19 in regions (19 total):
\[ \href{#CNPL}{CNPL(r19)} = exp{ \left( \href{#SHLZ}{SHLZ(r19)}+\href{#SHYZ}{SHYZ(r19)}\right) } ^{(\href{#sigma_oH}{sigma\_oH(r19)}-1)} *\href{#delta_oH}{delta\_oH(\text{l},r19)} *\href{#CONP}{CONP(r19)} *exp{ \left( \href{#PRCT}{PRCT(r19)}-\href{#WAGE}{WAGE(r19)}\right) } ^\href{#sigma_oH}{sigma\_oH(r19)} \]
Equation 74: CNPE
For r19 in regions (19 total):
\[ \href{#CNPE}{CNPE(r19)} = exp{ \left( \href{#SHEFC}{SHEFC(r19)}+\href{#SHYZ}{SHYZ(r19)}\right) } ^{(\href{#sigma_oH}{sigma\_oH(r19)}-1)} *\href{#delta_oH}{delta\_oH(\text{e},r19)} *\href{#CONP}{CONP(r19)} *exp{ \left( \href{#PRCT}{PRCT(r19)}-\href{#PRCE}{PRCE(r19)}\right) } ^\href{#sigma_oH}{sigma\_oH(r19)} \]
Equation 75: CNPO
For r19 in regions (19 total):
\[ \href{#CNPO}{CNPO(r19)} = exp{ \left(\href{#SHYZ}{SHYZ(r19)}\right) } ^{(\href{#sigma_oH}{sigma\_oH(r19)}-1)} *\href{#delta_oH}{delta\_oH(\text{m},r19)} *\href{#CONP}{CONP(r19)} *exp{ \left( \href{#PRCT}{PRCT(r19)}-\href{#PRCO}{PRCO(r19)}\right) } ^\href{#sigma_oH}{sigma\_oH(r19)} \]
Equation 76: CNPK
For r19 in regions (19 total):
\[ \href{#CNPK}{CNPK(r19)} = exp{ \left(\href{#SHYZ}{SHYZ(r19)}\right) } ^{(\href{#sigma_oH}{sigma\_oH(r19)}-1)} *\href{#delta_oH}{delta\_oH(\text{k},r19)} *\href{#CONP}{CONP(r19)} *exp{ \left( \href{#PRCT}{PRCT(r19)}-\href{#PRKZ}{PRKZ(r19)}\right) } ^\href{#sigma_oH}{sigma\_oH(r19)} \]
Equation 77: PRCT
For r19 in regions (19 total):
\[ \href{#PRCT}{PRCT(r19)} = \href{#cd_oH}{cd\_oH(r19)} *{(\href{#delta_oH}{delta\_oH(\text{k},r19)} *\href{#PRKZ}{PRKZ(r19)} +\href{#delta_oH}{delta\_oH(\text{l},r19)} *\href{#WAGE}{WAGE(r19)} +\href{#delta_oH}{delta\_oH(\text{e},r19)} *\href{#PRCE}{PRCE(r19)} +\href{#delta_oH}{delta\_oH(\text{m},r19)} *\href{#PRCO}{PRCO(r19)} -\href{#delta_oH}{delta\_oH(\text{l},r19)} *\href{#SHLZ}{SHLZ(r19)} -\href{#delta_oH}{delta\_oH(\text{e},r19)} *\href{#SHEFC}{SHEFC(r19)})} +\frac{{({(1-\href{#cd_oH}{cd\_oH(r19)})} *ln{ \left( \href{#delta_oH}{delta\_oH(\text{k},r19)} *exp{ \left(\href{#PRKZ}{PRKZ(r19)}\right) } ^{(1-\href{#sigma_oH}{sigma\_oH(r19)})} +\href{#delta_oH}{delta\_oH(\text{l},r19)} *exp{ \left( \href{#WAGE}{WAGE(r19)}-\href{#SHLZ}{SHLZ(r19)}\right) } ^{(1-\href{#sigma_oH}{sigma\_oH(r19)})} +\href{#delta_oH}{delta\_oH(\text{e},r19)} *exp{ \left( \href{#PRCE}{PRCE(r19)}-\href{#SHEFC}{SHEFC(r19)}\right) } ^{(1-\href{#sigma_oH}{sigma\_oH(r19)})} +\href{#delta_oH}{delta\_oH(\text{m},r19)} *exp{ \left(\href{#PRCO}{PRCO(r19)}\right) } ^{(1-\href{#sigma_oH}{sigma\_oH(r19)})}\right) })}}{{(1 -\href{#sigma_oH}{sigma\_oH(r19)}*{(1-\href{#cd_oH}{cd\_oH(r19)})})}} -\href{#SHYZ}{SHYZ(r19)} \]
Equation 78: PRGT
For r19 in regions (19 total):
\[ \href{#PRGT}{PRGT(r19)} = \frac{\href{#delta_oG}{delta\_oG(\text{e},r19)}}{{(\href{#delta_oG}{delta\_oG(\text{e},r19)} +\href{#delta_oG}{delta\_oG(\text{m},r19)})}} *\sum_{g13 \; \text{in} \; \href{#goods_e}{goods\_e}} { \left(\href{#delta_eG}{delta\_eG(g13,r19)}*\href{#PRY}{PRY(g13,r19)}\right) } +\frac{\href{#delta_oG}{delta\_oG(\text{m},r19)}}{{(\href{#delta_oG}{delta\_oG(\text{e},r19)} +\href{#delta_oG}{delta\_oG(\text{m},r19)})}} *\sum_{g14 \; \text{in} \; \href{#goods_m}{goods\_m}} { \left(\href{#delta_mG}{delta\_mG(g14,r19)}*\href{#PRY}{PRY(g14,r19)}\right) } \]
Equation 79: MONE
For r19 in regions (19 total):
\[ \href{#MONE}{MONE(r19)} = \href{#PRID}{PRID(r19)} +ln{ \left(\href{#OUTP}{OUTP(r19)}\right) } +\href{#int_elast}{int\_elast(r19)}*\href{#INTN}{INTN(r19)} +\href{#SHKM}{SHKM(r19)} \]
Equation 80: INTF
For r19 in regions (19 total):
\[ \href{#INTF}{INTF(r19)} = \href{#INTN}{INTN(r19)}-lead({\href{#PRID}{PRID(r19)}}) +\href{#PRID}{PRID(r19)} \]
Equation 81: INTR
For r19 in regions (19 total):
\[ \href{#INTR}{INTR(r19)} = \href{#INTF}{INTF(r19)}+\href{#RISR}{RISR(r19)} \]
Equation 82: INFP
For r19 in regions (19 total):
\[ \href{#INFP}{INFP(r19)} = \href{#PRID}{PRID(r19)}-\href{#PRDL}{PRDL(r19)} \]
Equation 83: PRCL
For r19 in regions (19 total):
\[ lead({\href{#PRCL}{PRCL(r19)}}) = \href{#PRCT}{PRCT(r19)} \]
Equation 84: PRDL
For r19 in regions (19 total):
\[ lead({\href{#PRDL}{PRDL(r19)}}) = \href{#PRID}{PRID(r19)} \]
Equation 85: GDPN
For r19 in regions (19 total):
\[ \href{#GDPN}{GDPN(r19)} = exp{ \left(\href{#PRCT}{PRCT(r19)}\right) } *\href{#CONP}{CONP(r19)} +exp{ \left(\href{#PRGT}{PRGT(r19)}\right) } *\href{#GCET}{GCET(r19)} +exp{ \left(\href{#PRII}{PRII(r19)}\right) } *\href{#INVT}{INVT(r19)} +exp{ \left(\href{#PRID}{PRID(r19)}\right) } *\href{#TBAL}{TBAL(r19)} +\sum_{g16 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(exp{ \left(\href{#PRII}{PRII(r19)}\right) } *\href{#INS}{INS(r19,g16)}\right) } \]
Equation 86: GDPR
For r19 in regions (19 total):
\[ \href{#GDPR}{GDPR(r19)} = \href{#CONP}{CONP(r19)}+\href{#GCET}{GCET(r19)} +\href{#INVT}{INVT(r19)} +\href{#TBAL}{TBAL(r19)} +\sum_{g16 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(\href{#INS}{INS(r19,g16)}\right) } \]
Equation 87: PGDP
For r19 in regions (19 total):
\[ \href{#PGDP}{PGDP(r19)} = ln{ \left(\href{#GDPN}{GDPN(r19)}\right) } -ln{ \left(\href{#GDPR}{GDPR(r19)}\right) } \]
Equation 88: GNPR
\[ \href{#GNPR}{GNPR(r17)} = \href{#GDPR}{GDPR(r17)} +\href{#PBGU}{PBGU(r17)} +\sum_{s \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(\href{#PBFU}{PBFU(s,r17)}\right) } +\href{#IRAS}{IRAS(r17)} \]
Equation 89: GNPR
For n1 in notUSA (18 total):
\[ \href{#GNPR}{GNPR(n1)} = \href{#GDPR}{GDPR(n1)} +\frac{{(\href{#PBG}{PBG(n1)} +\sum_{s \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(\href{#PBF}{PBF(s,n1)}\right) } +\href{#IRAS}{IRAS(n1)})}}{exp{ \left(\href{#REXN}{REXN(n1)}\right) }} \]
Equation 90: CURN
\[ \href{#CURN}{CURN(r17)} = \href{#TBAL}{TBAL(r17)}+\href{#PBGU}{PBGU(r17)} +\sum_{s \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(\href{#PBFU}{PBFU(s,r17)}\right) } +\href{#INAS}{INAS(r17)} \]
Equation 91: CURN
For n1 in notUSA (18 total):
\[ \href{#CURN}{CURN(n1)} = \href{#TBAL}{TBAL(n1)} +\frac{{(\href{#PBG}{PBG(n1)} +\sum_{s \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(\href{#PBF}{PBF(s,n1)}\right) } +\href{#INAS}{INAS(n1)})}}{exp{ \left(\href{#REXN}{REXN(n1)}\right) }} \]
Equation 92: CURR
\[ \href{#CURR}{CURR(r17)} = \href{#TBAU}{TBAU(r17)}+\href{#PBGU}{PBGU(r17)} +\sum_{s \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(\href{#PBFU}{PBFU(s,r17)}\right) } +\href{#IRAS}{IRAS(r17)} \]
Equation 93: CURR
For n1 in notUSA (18 total):
\[ \href{#CURR}{CURR(n1)} = \href{#TBAU}{TBAU(n1)}+\href{#PBG}{PBG(n1)} +\sum_{s \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(\href{#PBF}{PBF(s,n1)}\right) } +\href{#IRAS}{IRAS(n1)} \]
Equation 94: WELT
For r19 in regions (19 total):
\[ \href{#WELT}{WELT(r19)} = \href{#BOND}{BOND(r19)} +\frac{\href{#ASSU}{ASSU(r19)}}{exp{ \left(\href{#REXN}{REXN(r19)}\right) }} +\frac{{(\href{#mongdp}{mongdp(r19)} *exp{ \left(\href{#MONE}{MONE(r19)}\right) })}}{exp{ \left(\href{#PRID}{PRID(r19)}\right) }} +\href{#WELH}{WELH(r19)} +\href{#LAMY}{LAMY(r19)}*\href{#CAPY}{CAPY(r19)} +\href{#LAMZ}{LAMZ(r19)}*\href{#CAPZ}{CAPZ(r19)} +\sum_{s \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(\href{#STM}{STM(s,r19)}\right) } \]
Equation 95: WELH
For r19 in regions (19 total):
\[ lead({\href{#WELH}{WELH(r19)}}) = {(1+\href{#RISW}{RISW(r19)}+\href{#RISH}{RISH(r19)} +\href{#INTR}{INTR(r19)} -\href{#labgrow}{labgrow(r19)})} *\href{#WELH}{WELH(r19)} -\href{#TRAN}{TRAN(r19)} +\href{#TAXH}{TAXH(r19)} +\href{#TAXL}{TAXL(r19)} -\frac{{(exp{ \left(\href{#WAGE}{WAGE(r19)}\right) } *{(\href{#IITL}{IITL(r19)}+\href{#CNPL}{CNPL(r19)})} +exp{ \left(\href{#WAGG}{WAGG(r19)}\right) } *\href{#GOVL}{GOVL(r19)} +\sum_{s \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(exp{ \left(\href{#WAG}{WAG(s,r19)}\right) } *\href{#LAB}{LAB(s,r19)}\right) })}}{exp{ \left(\href{#PRID}{PRID(r19)}\right) }} \]
Equation 96: SAVI
For r19 in regions (19 total):
\[ \href{#SAVI}{SAVI(r19)} = \href{#INVT}{INVT(r19)} *exp{ \left( \href{#PRII}{PRII(r19)}-\href{#PRID}{PRID(r19)}\right) } +\frac{\href{#CURR}{CURR(r19)}}{exp{ \left(\href{#REXN}{REXN(r19)}\right) }} +\href{#DEFI}{DEFI(r19)} \]
Equation 97: SAVN
For r19 in regions (19 total):
\[ \href{#SAVN}{SAVN(r19)} = \href{#INVT}{INVT(r19)} *exp{ \left( \href{#PRII}{PRII(r19)}-\href{#PRID}{PRID(r19)}\right) } +\href{#CURN}{CURN(r19)} +\href{#DEFN}{DEFN(r19)} \]
Equation 98: SAVT
For r19 in regions (19 total):
\[ \href{#SAVT}{SAVT(r19)} = \href{#INVT}{INVT(r19)} *exp{ \left( \href{#PRII}{PRII(r19)}-\href{#PRID}{PRID(r19)}\right) } +\href{#CURN}{CURN(r19)} \]
Equation 99: TBAL
For r19 in regions (19 total):
\[ \href{#TBAL}{TBAL(r19)} = \href{#EXQT}{EXQT(r19)}-\href{#IMQT}{IMQT(r19)} \]
Equation 100: TBAU
For r19 in regions (19 total):
\[ \href{#TBAU}{TBAU(r19)} = \href{#TBAL}{TBAL(r19)} *exp{ \left(\href{#REXN}{REXN(r19)}\right) } \]
Equation 101: EXCH
For n1 in notUSA (18 total):
\[ \href{#EXCH}{EXCH(n1)} = \href{#REXN}{REXN(n1)}-\href{#PRID}{PRID(n1)} +\href{#PRID}{PRID(\text{USA})} \]
Equation 102: EXCL
For r19 in regions (19 total):
\[ lead({\href{#EXCL}{EXCL(r19)}}) = \href{#EXCH}{EXCH(r19)} \]
Equation 103: REXC
For r19 in regions (19 total):
\[ lead({\href{#REXC}{REXC(r19)}}) = \href{#REXC}{REXC(r19)}-\href{#INTR}{INTR(r19)} +\href{#INTR}{INTR(\text{USA})} +\href{#EXCR}{EXCR(r19)} \]
Equation 104: REXN
For r19 in regions (19 total):
\[ \href{#REXN}{REXN(r19)} = \href{#REXC}{REXC(r19)} \]
Equation 105: NEER
For d in dest (19 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 106: REER
For d in dest (19 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 107: ABUY
For o1 in owner (19 total):
\[ \href{#ABUY}{ABUY(o1)} = \sum_{a \; \text{in} \; \href{#abroad}{abroad}} { \left(\href{#ainv}{ainv(o1,a)}*\href{#CURR}{CURR(a)}\right) } \]
Equation 108: ASSE
For c in currency, o1 in owner (361 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 109: ASSU
For o1 in owner (19 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 110: PBFU
For r17 in region_USA, s in sec_std (12 total):
\[ \href{#PBFU}{PBFU(s,r17)} = {( -\sum_{n1 \; \text{in} \; \href{#notUSA}{notUSA}} { \left(\href{#PBF}{PBF(s,n1)}\right) })} \]
Equation 111: PBGU
\[ \href{#PBGU}{PBGU(r17)} = {( -\sum_{n1 \; \text{in} \; \href{#notUSA}{notUSA}} { \left(\href{#PBG}{PBG(n1)}\right) })} \]
Equation 112: EYGR
For r19 in regions (19 total):
\[ \href{#EYGR}{EYGR(r19)} = ln{ \left(lead({\href{#OUTP}{OUTP(r19)}})\right) } -ln{ \left(\href{#OUTP}{OUTP(r19)}\right) } \]
Equation 113: EPRC
For r19 in regions (19 total):
\[ \href{#EPRC}{EPRC(r19)} = lead({\href{#PRCT}{PRCT(r19)}})-\href{#PRCT}{PRCT(r19)} \]
Equation 114: INFL
For r19 in regions (19 total):
\[ \href{#INFL}{INFL(r19)} = \href{#PRCT}{PRCT(r19)}-\href{#PRCL}{PRCL(r19)} \]
Equation 115: PRCOL
For r19 in regions (19 total):
\[ lead({\href{#PRCOL}{PRCOL(r19)}}) = \href{#PRCO}{PRCO(r19)} \]
Equation 116: INFCL
For r19 in regions (19 total):
\[ \href{#INFCL}{INFCL(r19)} = \href{#PRCO}{PRCO(r19)}-\href{#PRCOL}{PRCOL(r19)} \]
Equation 117: GNEN
For r19 in regions (19 total):
\[ \href{#GNEN}{GNEN(r19)} = exp{ \left(\href{#PRCT}{PRCT(r19)}\right) } *\href{#CONP}{CONP(r19)} +exp{ \left(\href{#PRID}{PRID(r19)}\right) } *\href{#GCET}{GCET(r19)} +exp{ \left(\href{#PRII}{PRII(r19)}\right) } *\href{#INVT}{INVT(r19)} +\sum_{g16 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(exp{ \left(\href{#PRII}{PRII(r19)}\right) } *\href{#INS}{INS(r19,g16)}\right) } \]
Equation 118: GNER
For r19 in regions (19 total):
\[ \href{#GNER}{GNER(r19)} = \href{#CONP}{CONP(r19)}+\href{#GCET}{GCET(r19)} +\href{#INVT}{INVT(r19)} +\sum_{g16 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(\href{#INS}{INS(r19,g16)}\right) } \]
Equation 119: INPN
For r19 in regions (19 total):
\[ \href{#INPN}{INPN(r19)} = \href{#mrule_r}{mrule\_r(r19)}*\href{#INTL}{INTL(r19)} +\href{#mrule_ex}{mrule\_ex(r19)} *{(\href{#EXCH}{EXCH(r19)}-\href{#EXCL}{EXCL(r19)} -\href{#EXCX}{EXCX(r19)})} +\href{#mrule_1}{mrule\_1(r19)} *{(\href{#INFL}{INFL(r19)}-\href{#INFX}{INFX(r19)})} +\href{#mrule_2}{mrule\_2(r19)} *{(\href{#INFP}{INFP(r19)}-\href{#INFX}{INFX(r19)})} +\href{#mrule_3}{mrule\_3(r19)} *{(\href{#INFCL}{INFCL(r19)}-\href{#INFX}{INFX(r19)})} +\href{#mrule_4}{mrule\_4(r19)} *{(\href{#PRCT}{PRCT(r19)}-\href{#PTAR}{PTAR(r19)})} +\href{#mrule_5}{mrule\_5(r19)} *{(\href{#PRID}{PRID(r19)}-\href{#PTAR}{PTAR(r19)})} +\href{#mrule_6}{mrule\_6(r19)} *{(\href{#WAGE}{WAGE(r19)}-\href{#PTAR}{PTAR(r19)})} +\href{#mrule_7}{mrule\_7(r19)}*0 +\href{#mrule_8}{mrule\_8(r19)} *{(ln{ \left(\href{#OUTP}{OUTP(r19)}\right) } -ln{ \left(\href{#OUTL}{OUTL(r19)}\right) } -\href{#ROGY}{ROGY(r19)})} +\href{#mrule_9}{mrule\_9(r19)} *{(ln{ \left(\href{#OUTP}{OUTP(r19)}\right) } -ln{ \left(\href{#OUTL}{OUTL(r19)}\right) } -\href{#ROGY}{ROGY(r19)} +\href{#INFP}{INFP(r19)} -\href{#INFX}{INFX(r19)})} +\href{#mrule_10}{mrule\_10(r19)} *{(ln{ \left(\href{#GDPN}{GDPN(r19)}\right) } -\href{#ROGY}{ROGY(r19)})} +\href{#mrule_11}{mrule\_11(r19)} *{(ln{ \left(\href{#OUTP}{OUTP(r19)}\right) } +\href{#PRID}{PRID(r19)})} +\href{#mrule_12}{mrule\_12(r19)} *ln{ \left( {(\href{#OUTP}{OUTP(r19)}-\href{#TBAL}{TBAL(r19)})} *exp{ \left(\href{#PRID}{PRID(r19)}\right) }\right) } +\href{#mrule_13}{mrule\_13(r19)} *{(\href{#EPRC}{EPRC(r19)}-\href{#INFX}{INFX(r19)})} +\href{#mrule_14}{mrule\_14(r19)} *{(\href{#EYGR}{EYGR(r19)}-\href{#ROGY}{ROGY(r19)})} +\href{#mrule_15}{mrule\_15(r19)} *{(ln{ \left(\href{#GNEN}{GNEN(r19)}\right) } -\href{#ROGY}{ROGY(r19)})} +\href{#PERR}{PERR(r19)} \]
Equation 120: INTN
For r19 in regions (19 total):
\[ \href{#INTN}{INTN(r19)} = \href{#INPN}{INPN(r19)}+\href{#INTX}{INTX(r19)} \]
Equation 121: INTL
For r19 in regions (19 total):
\[ lead({\href{#INTL}{INTL(r19)}}) = \href{#INTN}{INTN(r19)} \]
Equation 122: GCE
For g13 in goods_e, r19 in regions (95 total):
\[ \href{#GCE}{GCE(g13,r19)} = \frac{{(\href{#delta_eG}{delta\_eG(g13,r19)} *\frac{\href{#delta_oG}{delta\_oG(\text{e},r19)}}{{(\href{#delta_oG}{delta\_oG(\text{e},r19)} +\href{#delta_oG}{delta\_oG(\text{m},r19)})}} *\href{#GOVS}{GOVS(r19)} *exp{ \left(\href{#PRGT}{PRGT(r19)}\right) })}}{exp{ \left(\href{#PRY}{PRY(g13,r19)}\right) }} \]
Equation 123: GCE
For g14 in goods_m, r19 in regions (133 total):
\[ \href{#GCE}{GCE(g14,r19)} = \frac{{(\href{#delta_mG}{delta\_mG(g14,r19)} *\frac{\href{#delta_oG}{delta\_oG(\text{m},r19)}}{{(\href{#delta_oG}{delta\_oG(\text{e},r19)} +\href{#delta_oG}{delta\_oG(\text{m},r19)})}} *\href{#GOVS}{GOVS(r19)} *exp{ \left(\href{#PRGT}{PRGT(r19)}\right) })}}{exp{ \left(\href{#PRY}{PRY(g14,r19)}\right) }} \]
Equation 124: GCET
For r19 in regions (19 total):
\[ \href{#GCET}{GCET(r19)} = \frac{\sum_{g16 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(\href{#GCE}{GCE(g16,r19)} *exp{ \left(\href{#PRY}{PRY(g16,r19)}\right) }\right) }}{exp{ \left(\href{#PRGT}{PRGT(r19)}\right) }} \]
Equation 125: GOVT
For r19 in regions (19 total):
\[ \href{#GOVT}{GOVT(r19)} = \href{#GCET}{GCET(r19)} +\href{#GOVL}{GOVL(r19)} *exp{ \left( \href{#WAGG}{WAGG(r19)}-\href{#PRID}{PRID(r19)}\right) } \]
Equation 126: TRAN
For r19 in regions (19 total):
\[ \href{#TRAN}{TRAN(r19)} = \href{#TRANX}{TRANX(r19)} +\href{#transgdp}{transgdp(r19)}*\href{#OUTP}{OUTP(r19)} \]
Equation 127: TXM
For d in dest, g16 in goods_o (228 total):
\[ \href{#TXM}{TXM(g16,d)} = \frac{\sum_{o \; \text{in} \; \href{#orig}{orig}} { \left({(\href{#TIM}{TIM(g16,d,o)}*\href{#MUL}{MUL(d,o)} +\href{#TIF}{TIF(g16,d)}*\href{#FTA}{FTA(d,o)})} *exp{ \left(\href{#PIM}{PIM(g16,d,o)}\right) } *\href{#IMP}{IMP(g16,d,o)}\right) }}{exp{ \left(\href{#PRID}{PRID(d)}\right) }} \]
Equation 128: TAXM
For d in dest (19 total):
\[ \href{#TAXM}{TAXM(d)} = \sum_{g16 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(\href{#TXM}{TXM(g16,d)}\right) } \]
Equation 129: TAXX
For r19 in regions (19 total):
\[ \href{#TAXX}{TAXX(r19)} = \frac{\sum_{g16 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(\href{#TEX}{TEX(g16,r19)} *exp{ \left(\href{#PRS}{PRS(g16,r19)}\right) } *\href{#EXQ}{EXQ(g16,r19)}\right) }}{exp{ \left(\href{#PRID}{PRID(r19)}\right) }} \]
Equation 130: TAXH
For r19 in regions (19 total):
\[ \href{#TAXH}{TAXH(r19)} = \frac{{(\href{#TINC}{TINC(r19)} *{(exp{ \left(\href{#WAGE}{WAGE(r19)}\right) } *{(\href{#IITL}{IITL(r19)}+\href{#CNPL}{CNPL(r19)})} +exp{ \left(\href{#WAGG}{WAGG(r19)}\right) } *\href{#GOVL}{GOVL(r19)} +\sum_{s \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(exp{ \left(\href{#WAG}{WAG(s,r19)}\right) } *\href{#LAB}{LAB(s,r19)}\right) })} -\href{#TITCH}{TITCH(r19)} *exp{ \left(\href{#PRII}{PRII(r19)}\right) } *\href{#INVZ}{INVZ(r19)})}}{exp{ \left(\href{#PRID}{PRID(r19)}\right) }} \]
Equation 131: BOND
\[ lead({\href{#BOND}{BOND(r17)}}) = \href{#DEFI}{DEFI(r17)} +\href{#BOND}{BOND(r17)}*{(1-\href{#labgrow}{labgrow(r17)})} -\href{#PBGU}{PBGU(r17)} \]
Equation 132: BOND
For n1 in notUSA (18 total):
\[ lead({\href{#BOND}{BOND(n1)}}) = \href{#DEFI}{DEFI(n1)} +\href{#BOND}{BOND(n1)}*{(1-\href{#labgrow}{labgrow(n1)})} -\frac{\href{#PBG}{PBG(n1)}}{exp{ \left(\href{#REXN}{REXN(n1)}\right) }} \]
Equation 133: TAXL
For r19 in regions (19 total):
\[ \href{#TAXL}{TAXL(r19)} = \href{#INTR}{INTR(r19)}*\href{#BOND}{BOND(r19)} +\href{#TAXS}{TAXS(r19)} \]
Equation 134: TAXT
For r19 in regions (19 total):
\[ \href{#TAXT}{TAXT(r19)} = \href{#TAXC}{TAXC(r19)}+\href{#TAXH}{TAXH(r19)} +\href{#TAXL}{TAXL(r19)} +\href{#TAXM}{TAXM(r19)} +\href{#TAXX}{TAXX(r19)} +\href{#TAXE}{TAXE(r19)} \]
Equation 135: DEFI
For r19 in regions (19 total):
\[ \href{#DEFI}{DEFI(r19)} = \href{#GOVT}{GOVT(r19)}+\href{#TRAN}{TRAN(r19)} -\href{#TAXT}{TAXT(r19)} +\href{#INTR}{INTR(r19)}*\href{#BOND}{BOND(r19)} \]
Equation 136: DEFN
For r19 in regions (19 total):
\[ \href{#DEFN}{DEFN(r19)} = \href{#DEFI}{DEFI(r19)} +{(\href{#INTN}{INTN(r19)}-\href{#INTR}{INTR(r19)})} *\href{#BOND}{BOND(r19)} \]
Equation 137: PRT
For g13 in goods_e, r19 in regions, s in sec_std (1140 total):
\[ \href{#PRT}{PRT(s,g13,r19)} = ln{ \left( exp{ \left(\href{#PRS}{PRS(g13,r19)}\right) } *{(1+\href{#TAX}{TAX(g13,r19)})} +\href{#TXGS}{TXGS(s,g13,r19)}\right) } \]
Equation 138: CON
For g13 in goods_e, r19 in regions (95 total):
\[ \href{#CON}{CON(g13,r19)} = \href{#delta_eH}{delta\_eH(g13,r19)}*\href{#CNPE}{CNPE(r19)} *exp{ \left( \href{#PRCE}{PRCE(r19)}-\href{#PRY}{PRY(g13,r19)}\right) } ^\href{#sigma_eH}{sigma\_eH(r19)} \]
Equation 139: CON
For g15 in goods_mc, r19 in regions (114 total):
\[ \href{#CON}{CON(g15,r19)} = \href{#delta_mH}{delta\_mH(g15,r19)}*\href{#CNPO}{CNPO(r19)} *exp{ \left( \href{#PRCO}{PRCO(r19)}-\href{#PRY}{PRY(g15,r19)}\right) } ^\href{#sigma_mH}{sigma\_mH(r19)} \]
Equation 140: EN
For g13 in goods_e, r19 in regions, s in sec_std (1140 total):
\[ \href{#EN}{EN(s,g13,r19)} = \href{#delta_e}{delta\_e(r19,s,g13)}*\href{#ENT}{ENT(s,r19)} *exp{ \left( \href{#PRE}{PRE(s,r19)}-\href{#PRT}{PRT(s,g13,r19)}\right) } ^\href{#sigma_e}{sigma\_e(s,r19)} \]
Equation 141: OI
For g14 in goods_m, r19 in regions, s in sec_std (1596 total):
\[ \href{#OI}{OI(s,g14,r19)} = \href{#delta_m}{delta\_m(r19,s,g14)}*\href{#OIN}{OIN(s,r19)} *exp{ \left( \href{#POI}{POI(s,r19)}-\href{#PRY}{PRY(g14,r19)}\right) } ^\href{#sigma_m}{sigma\_m(s,r19)} \]
Equation 142: PRE
For r19 in regions, s in sec_std (228 total):
\[ \href{#PRE}{PRE(s,r19)} = \href{#cd_e}{cd\_e(s,r19)} *\sum_{g13 \; \text{in} \; \href{#goods_e}{goods\_e}} { \left(\href{#delta_e}{delta\_e(r19,s,g13)}*\href{#PRT}{PRT(s,g13,r19)}\right) } +\frac{{({(1-\href{#cd_e}{cd\_e(s,r19)})} *ln{ \left( \sum_{g13 \; \text{in} \; \href{#goods_e}{goods\_e}} { \left(\href{#delta_e}{delta\_e(r19,s,g13)} *exp{ \left(\href{#PRT}{PRT(s,g13,r19)}\right) } ^{(1-\href{#sigma_e}{sigma\_e(s,r19)})}\right) }\right) })}}{{(1 -\href{#sigma_e}{sigma\_e(s,r19)}*{(1-\href{#cd_e}{cd\_e(s,r19)})})}} \]
Equation 143: POI
For r19 in regions, s in sec_std (228 total):
\[ \href{#POI}{POI(s,r19)} = \href{#cd_m}{cd\_m(s,r19)} *\sum_{g14 \; \text{in} \; \href{#goods_m}{goods\_m}} { \left(\href{#delta_m}{delta\_m(r19,s,g14)}*\href{#PRY}{PRY(g14,r19)}\right) } +\frac{{({(1-\href{#cd_m}{cd\_m(s,r19)})} *ln{ \left( \sum_{g14 \; \text{in} \; \href{#goods_m}{goods\_m}} { \left(\href{#delta_m}{delta\_m(r19,s,g14)} *exp{ \left(\href{#PRY}{PRY(g14,r19)}\right) } ^{(1-\href{#sigma_m}{sigma\_m(s,r19)})}\right) }\right) })}}{{(1 -\href{#sigma_m}{sigma\_m(s,r19)}*{(1-\href{#cd_m}{cd\_m(s,r19)})})}} \]
Equation 144: PRCE
For r19 in regions (19 total):
\[ \href{#PRCE}{PRCE(r19)} = \href{#cd_eH}{cd\_eH(r19)} *\sum_{g13 \; \text{in} \; \href{#goods_e}{goods\_e}} { \left(\href{#delta_eH}{delta\_eH(g13,r19)}*\href{#PRY}{PRY(g13,r19)}\right) } +\frac{{({(1-\href{#cd_eH}{cd\_eH(r19)})} *ln{ \left( \sum_{g13 \; \text{in} \; \href{#goods_e}{goods\_e}} { \left(\href{#delta_eH}{delta\_eH(g13,r19)} *exp{ \left(\href{#PRY}{PRY(g13,r19)}\right) } ^{(1-\href{#sigma_eH}{sigma\_eH(r19)})}\right) }\right) })}}{{(1 -\href{#sigma_eH}{sigma\_eH(r19)}*{(1-\href{#cd_eH}{cd\_eH(r19)})})}} \]
Equation 145: PRCO
For r19 in regions (19 total):
\[ \href{#PRCO}{PRCO(r19)} = \href{#cd_mH}{cd\_mH(r19)} *\sum_{g14 \; \text{in} \; \href{#goods_m}{goods\_m}} { \left(\href{#delta_mH}{delta\_mH(g14,r19)}*\href{#PRY}{PRY(g14,r19)}\right) } +\frac{{({(1-\href{#cd_mH}{cd\_mH(r19)})} *ln{ \left( \sum_{g14 \; \text{in} \; \href{#goods_m}{goods\_m}} { \left(\href{#delta_mH}{delta\_mH(g14,r19)} *exp{ \left(\href{#PRY}{PRY(g14,r19)}\right) } ^{(1-\href{#sigma_mH}{sigma\_mH(r19)})}\right) }\right) })}}{{(1 -\href{#sigma_mH}{sigma\_mH(r19)}*{(1-\href{#cd_mH}{cd\_mH(r19)})})}} \]
Equation 146: TAXE
For r19 in regions (19 total):
\[ \href{#TAXE}{TAXE(r19)} = \href{#RVGS}{RVGS(r19)} \]
Equation 147: TAXC
For r19 in regions (19 total):
\[ \href{#TAXC}{TAXC(r19)} = \href{#TCOR}{TCOR(r19)} *{(\sum_{s \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(\href{#PRF}{PRF(s,r19)}\right) } +\href{#PRFY}{PRFY(r19)})} +\frac{{(\sum_{g12 \; \text{in} \; \href{#goods}{goods}} { \left(\href{#TAX}{TAX(g12,r19)} *exp{ \left(\href{#PRD}{PRD(g12,r19)}\right) } *\href{#OUG}{OUG(g12,r19)}\right) } +\sum_{g16 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(\href{#TAX}{TAX(g16,r19)} *exp{ \left(\href{#PMR}{PMR(g16,r19)}\right) } *\href{#IMQ}{IMQ(g16,r19)}\right) } -\sum_{s \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(\href{#TITC}{TITC(s,r19)} *exp{ \left(\href{#PRII}{PRII(r19)}\right) } *\href{#INV}{INV(s,r19)}\right) } -\sum_{g16 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(\href{#TAX}{TAX(g16,r19)} *exp{ \left(\href{#PRS}{PRS(g16,r19)}\right) } *\href{#EXQ}{EXQ(g16,r19)}\right) })}}{exp{ \left(\href{#PRID}{PRID(r19)}\right) }} \]