G-Cubed model_6G_199

Sets:
NameElementsDescription
abroadUSA, JPN, DEU, GBR, FRA, ITA, EUR, CAN, AUS, ADV, KOR, CHN, IND, IDN, ROA, MEX, BRA, RUS, SAU, ZAF, OIL, ROWused in asset calculations
currencyUSA, JPN, DEU, GBR, FRA, ITA, EUR, CAN, AUS, ADV, KOR, CHN, IND, IDN, ROA, MEX, BRA, RUS, SAU, ZAF, OIL, ROWcurrency of assets
destUSA, JPN, DEU, GBR, FRA, ITA, EUR, CAN, AUS, ADV, KOR, CHN, IND, IDN, ROA, MEX, BRA, RUS, SAU, ZAF, OIL, ROWalias for regions
domforD, Fdomestic vs foreign
euroDEU, FRA, ITA, EUREurozone countries
factorsK, L, E, Mtop tier factors of production
good_nondurable_manufacturingg05non-durable manufacturing
good_other_agricultureg03agriculture
good_other_miningg02mining
good_servicesg06services
goodsg01, g02, g03, g04, g05, g06ordinary products
goods_dg04Durable goods
goods_eg01energy
goods_mg02, g03, g04, g05, g06material goods
goods_mcg02, g03, g05, g06Material nondurables
goods_og01, g02, g03, g04, g05, g06ordinary goods - those with standard treatment
goods_ocg01, g02, g03, g05, g06Ordinary nondurables
noteuroUSA, JPN, GBR, CAN, AUS, ADV, KOR, CHN, IND, IDN, ROA, MEX, BRA, RUS, SAU, ZAF, OIL, ROWAll regions except Eurozone countries
notROWUSA, JPN, DEU, GBR, FRA, ITA, EUR, CAN, AUS, ADV, KOR, CHN, IND, IDN, ROA, MEX, BRA, RUS, SAU, ZAF, OILused in CURR equation
notUSAJPN, DEU, GBR, FRA, ITA, EUR, CAN, AUS, ADV, KOR, CHN, IND, IDN, ROA, MEX, BRA, RUS, SAU, ZAF, OIL, ROWused with REXC equation
origUSA, JPN, DEU, GBR, FRA, ITA, EUR, CAN, AUS, ADV, KOR, CHN, IND, IDN, ROA, MEX, BRA, RUS, SAU, ZAF, OIL, ROWalias for regions
ownerUSA, JPN, DEU, GBR, FRA, ITA, EUR, CAN, AUS, ADV, KOR, CHN, IND, IDN, ROA, MEX, BRA, RUS, SAU, ZAF, OIL, ROWowner of assets ASSE
region_ADVADVOther advanced economies
region_AUSAUSAustralia
region_BRABRABrazil
region_CANCANCanada
region_CHNCHNChina
region_DEUDEUGermany
region_EUREURRest of Euro Zone
region_FRAFRAFrance
region_GBRGBRUK
region_IDNIDNIndonesia
region_INDINDIndia
region_ITAITAItaly
region_JPNJPNJapan
region_KORKORSouth Korea
region_MEXMEXMexico
region_OILOILOil-exporting economies
region_ROAROAOther Asia
region_ROWROWRest of World
region_RUSRUSRussia
region_SAUSAUSaudi Arabia
region_USAUSAUnited States
region_ZAFZAFSouth Africa
regionsUSA, JPN, DEU, GBR, FRA, ITA, EUR, CAN, AUS, ADV, KOR, CHN, IND, IDN, ROA, MEX, BRA, RUS, SAU, ZAF, OIL, ROWcountries and regions
sec_stda01, a02, a03, a04, a05, a06sectors with standard treatment
sector_durable_manufacturinga04durable manufacturing
sector_nondurable_manufacturinga05non-durable manufacturing
sector_other_agriculturea03agriculture
sector_other_mininga02mining
sector_servicesa06services
sector_YYYYindustrial capital
sector_ZZZZhousehold capital
sectorsa01, a02, a03, a04, a05, a06sectors other than the capital-production sectors Y - for firms, and Z - for households
sectors_ea01energy
sectors_ma02, a03, a04, a05, a06material sectors
sectors_oa01, a02, a03, a04, a05, a06non electricity generation sectors
sectors_osa01, a02, a03, a04, a05, a06Non electricity generation or distribution sectors
timet0Obsolete time set
varfacL, E, Mvariable factors
Variables:
NameDomainDescriptionUnitsLHSRHS
ABUYownernew purchases of foreign assetsend,gdp105106
ASSEcurrency, ownerassets in each currency, including ownsta,usgdp106106, 107, 72, 73
ASSUregionsassets held by region, in US$end,gdp10792
BCTgoods_o, dest, origunit border tax adjustmentdollar,exonone26, 7
BONDregionsbondsgdp,sta141141, 142, 144, 145, 70, 92
CAPsec_std, regionscapital stockgdp,sta4033, 40, 43, 44, 49, 58, 62
CAPYregionscapital stock of raw capital sectorgdp,sta4134, 41, 45, 47, 50, 59, 92
CAPZregionshousehold capital stockgdp,sta4235, 42, 46, 48, 51, 60, 92
CNPEregionshousehold demand for energyend,gdp75147, 60
CNPKregionshousehold capital servicesend,gdp77none
CNPLregionshousehold demand for laborend,gdp74139, 23, 60, 70, 93
CNPOregionshousehold demand for materialend,gdp76148, 60
CONgoods_oc, regionshousehold demand for goodsend,gdp147, 1482, 3
CONPregionsnational accounts consumptionend,gdp71113, 114, 35, 60, 74, 75, 76, 77, 86, 87
CURNregionsdomestic currency current account using nominal interest paymentsend,gdp9095, 96
CURRregionsUSD current account using real interest paymentsend,gdp91105, 106, 94
DEFIregionsfiscal deficit (real interest rates)end,gdp144141, 145, 94
DEFNregionsfiscal deficit (nominal interest rates)end,gdp14595
DEFXregionsfiscal deficit shocks (real interest rates)exo,gdpnonenone
ENsec_std, goods_e, regionssector demand for energy goodsend,gdp1492
ENTsec_std, regionssector demand for energyend,gdp16149, 58
EPRCregionsexpected consumer price inflation rateend,intertemporal_constant,pct109128
EPRCEUR expected consumer price inflation, Eurozoneend,intertemporal_constant,pct122129
EXCHregionsexchange rate - US$ per unit of region currencyidx,logged,stl1, 99100, 103, 128, 129, 6
EXCLregionsexchange rate - US$ per unit of region currency - laggedidx,lagged,logged,sta100128
EXCRregionscountry risk premium relative to USexo,pctnone101
EXCXregionsexchange rate target percentage changeexo,pctnone128, 129
EXQgoods_o, regionsexports, EXP.xxend,gdp1110, 138, 140, 2, 3, 4
EXQTregionsvalue of exports at sourceend,gdp1097
EYGRregionsexpected output growthend,intertemporal_constant,pct108128, 129
EYGREUR expected output growth, Eurozoneend,intertemporal_constant,pct127none
GCEgoods_o, regionsgovernment purchases of goods and servicesend,gdp131, 132133, 2, 3, 4
GCETregionsnational accounts government spending excluding laborend,gdp133113, 114, 134, 86, 87
GDPNregionsGDP, nominalend,gdp86126, 128, 88
GDPNEUR nominal GDP, Eurozoneend,usgdp126129
GDPRregionsGDP, realend,gdp8788, 89
GNENregionsGNE, nominalend,gdp113128
GNERregionsGNE, realend,gdp114none
GNPRregionsgross national productend,gdp89none
GOVLregionslabor used by governmentexo,gdpnone134, 139, 23, 70, 93
GOVSregionsgovernment spending excluding laborexo,gdpnone131, 132
GOVTregionsnational accounts government spending including laborend,gdp134144
IINgoods_o, regionsraw capital sector demand for goodsend,gdp21, 222, 3, 4
IITEregionsraw capital sector demand for energyend,gdp1921, 59
IITLregionsraw capital sector demand for laborend,gdp18139, 23, 59, 70, 93
IITOregionsraw capital sector demand for materialend,gdp2022, 59
IMPgoods_o, dest, origindividual imports, IMP.xyend,exclude_dest_equals_orig,gdp711, 136, 8
IMPXgoods_o, dest, origindividual imports shift exo,gdpnone7
IMQgoods_o, regionsDF imports by good, IMQ.xxend,gdp5140, 7, 8, 9
IMQTregionsvalue of imports at destinationend,gdp997
INASregionsnominal USD net interest payments on foreign assetsend,gdp7390
INCMregionsafter tax household incomeend,gdp7071
INFCLregionshousehold materials inflation rateend,pct112121, 128
INFCLEUR household materials inflation, Eurozoneend,pct121129
INFLregionsconsumer price inflationend,pct110120, 128
INFLEUR consumer price inflation, Eurozoneend,pct120129
INFPregionsoutput price inflationend,pct83119, 128
INFPEUR output price inflation, Eurozoneend,pct119129
INFXregionsinflation targetexo,pctnone128, 129
INSregions, goods_oshocks to aggregate investment demandexo,gdpnone113, 114, 2, 3, 4, 86, 87
INTFregionsrisk free interest rate, short-run, realend,pct8182
INTLregionsinterest rate, short-run, nominal - laggedlagged,pct,sta130128, 129
INTNregionsinterest rate, short (policy), nominalpct,stl128, 129130, 145, 73, 80, 81
INTRregionsrisk adjusted interest rate, short-run, realend,pct82101, 142, 144, 145, 49, 50, 51, 70, 72, 93
INTXregionsshock to interest rate targetexo,pctnone128, 129
INVsec_std, regionsraw investmentend,gdp43140, 44, 64
INVPregionstotal investment by standard sectorsend,gdp6465
INVTregionstotal investment including by householdsend,gdp65113, 114, 18, 19, 20, 34, 59, 86, 87, 94, 95, 96
INVYregionsraw investment of raw capital sectorend,gdp4565
INVZregionshousehold investmentend,gdp46139, 65
IRASregionsreal USD net interest payments on foreign assetsend,gdp7270, 89, 91
JNVsec_std, regionsinstalled investmentend,gdp4440, 49
JNVYregionsinstalled investment in the raw capital sectorend,gdp4741, 45, 50
JNVZregionsinstalled household investmentend,gdp4842, 46, 51
LABsec_std, regionssector demand for laborend,gdp15139, 23, 58, 70, 93
LABOregionslabor demandend,gdp2336
LABXregionslabor supplyexo,gdpnone36
LAMsec_std, regionsmarginal value of a unit of capitalcos,intertemporal_constant,pct4949, 52, 62
LAMYregionsmarginal value of capital, raw capital sectorcos,pct5050, 53, 92
LAMZregionsmarginal value of a unit of household capitalcos,pct5151, 54, 92
LGDPNregionsGDP, nominalexo,nomusdbillionnonenone
LGDPRregionsGDP, realexo,realusdbillionnonenone
MONEregionsmoney demandend,gdp,logged8092
NB02regionsinterest rate, 2-year, nominalend,pctnonenone
NB05regionsinterest rate, 5-year, nominalend,pctnonenone
NB10regionsinterest rate, 10-year, nominalend,pctnonenone
NEERregionstrade-weighted exchange rate, FC/domesticend,idx,logged103none
NGOEUR log of nominal gross output net of Trade, Eurozoneend,pct123129
OIsec_std, goods_m, regionssector demand for material goodsend,gdp1503, 4
OINsec_std, regionssector demand for materialsend,gdp17150, 58
OUGgoods, regionsdomestic supply of goodsend,gdp1314, 140, 68
OUPsectors, regionsdomestic productionend,gdp1415, 16, 17, 33, 58
OUTLregionsaggregate output (lagged)gdp,lagged,sta69128
OUTLEUR agg. output Q index lagged to match PRID, Eurozonesta,usgdp125129
OUTPregionsaggregate outputets,gdp68108, 123, 124, 128, 135, 69, 80
OUTPEUR aggregate output, Eurozoneets,usgdp124125, 127, 129
OUYgoods, regionscomposite supplyend,gdp2, 3, 413, 5
PGDPregionsGDP implicit price deflatorend,idx,logged88none
PIMgoods_o, dest, origlanded price of importsend,idx,logged6136, 26, 7, 8
PMQgoods_o, regionsimport landed price indexend,idx,logged827, 9
PMRgoods_o, regionsprice of imports incl tariffsend,idx,logged26140, 24, 5, 7
POIsec_std, regionssector price of materialsend,idx,logged152150, 17, 31, 58
PRCEregionshousehold price of energyend,idx,logged153147, 60, 75, 78
PRCEURL aggregate price of consumer goods - lagged, Eurozoneidx,lagged,logged,sta116none
PRCLregionsaggregate price of consumer goods laggedidx,lagged,logged,sta84110, 36
PRCOregionshousehold price of materialend,idx,logged154111, 112, 148, 60, 76, 78
PRCOLregionshousehold price of material - laggedidx,lagged,logged,sta111112
PRCTregionsaggregate price of consumer goodsets,idx,logged78109, 110, 113, 115, 128, 35, 36, 60, 71, 74, 75, 76, 77, 84, 86
PRCTEUR aggregate price of consumer goods, Eurozoneets,idx,logged115116, 122, 129
PRDgoods, regionspost-tax price of goodsend,idx,logged3013, 140, 24, 66, 68
PRDEURL weighted price of domestic output Europe -lagged, Eurozoneidx,lagged,logged,sta118none
PRDLregionsweighted price of domestic output lagidx,lagged,logged,sta8583
PREsec_std, regionssector price of energyend,idx,logged151149, 16, 31, 58
PRFsec_std, regionsshort run profitsend,gdp58140, 61
PRFTregionstotal economywide profitsend,gdp6170
PRFYregionsprofits on raw capital sectorend,gdp59140, 61
PRFZregionsimputed short run profits on household capitalend,gdp6070
PRGTregionsaggregate price of government goodsend,idx,logged79131, 132, 133, 86
PRIDregionsweighted price of domestic outputets,idx,logged66113, 117, 123, 128, 134, 136, 138, 139, 140, 49, 50, 51, 52, 53, 54, 58, 59, 60, 68, 70, 71, 80, 81, 83, 85, 86, 92, 93, 94, 95, 96, 99
PRIDEUR weighted price of domestic output, Eurozoneets,idx,logged117118, 129
PRIEregionsraw capital sector price of energyend,idx,logged2819, 21, 32, 59
PRIIregionsprice paid by producers for raw capitalend,idx,logged32113, 139, 140, 18, 19, 20, 34, 49, 50, 51, 52, 53, 54, 58, 59, 60, 86, 94, 95, 96
PRIMregionsweighted price of importsend,idx,logged279
PRIXregionsweighted price of exportsend,idx,logged6710
PRKsec_std, regionsimplicit rental priceend,idx,logged3331, 49
PRKYregionsimplicit rental price, raw capital sectorend,idx,logged3432, 50
PRKZregionsimplicit rental price, household capitalend,idx,logged3551, 77, 78
PROIregionsraw capital sector price of materialend,idx,logged2920, 22, 32, 59
PRPsectors, regionspre-tax producer priceend,idx,logged3115, 16, 17, 30, 33, 39, 58
PRSgoods, regionsproducer price of compositeend,idx,logged2412, 13, 138, 140, 146, 25, 5
PRTsec_std, goods_e, regionssector-specific input priceend,idx,logged146149, 151
PRXgoods_o, regionsprice of exports at sourceend,idx,logged1210, 6, 67
PRXXregionsshock to expected price of consumer goodsexo,pctnone36
PRYgoods, regionspurchase price of compositeend,idx,logged25131, 132, 133, 147, 148, 150, 152, 153, 154, 21, 22, 28, 29, 79
PTARregionsprice level targetexo,idx,loggednone128, 129
PTAREUR price level target, Eurozoneexo,idx,loggednonenone
RB10regionsinterest rate, 10-year, realend,pctnonenone
REERregionseffective real exchange rate, FC/domesticend,idx,logged104none
REXCregionsreal exchange rate - US$ per unit of region currencycos,idx,intertemporal_constant,logged101101, 102
REXNregionsreal exchange rate with capital controlsend,idx,logged102104, 106, 107, 70, 72, 73, 89, 90, 92, 94, 98, 99
RISEsec_std, regionsequity risk premium by sector and regiondel,exonone49
RISHregionsrisk premium for human wealthdel,exonone93
RISRregionsrisk premium in the yield curvedel,exonone82
RISWregionsBlanchard probability of deathdel,exonone71, 93
RISYregionsrisk premium for raw-capital sector capitaldel,exonone50
RISZregionsrisk premium for household capitaldel,exonone51
ROGYregionspotential output growth targetexo,pctnone128
ROGYEUR potential output growth target, Eurozoneexo,pctnone129
RVGSregionsrevenue from unit taxesexo,gdpnone155
SAVIregionsreal domestic saving using real interest ratesend,gdp94none
SAVNregionsreal domestic saving using nominal interest ratesend,gdp95none
SAVTregionsdomestic non-government saving using nominal interest ratesend,gdp96none
SHEFsec_std, regionsautonomous energy efficiency improvementsexo,pctnone16, 31
SHEFCregionsconsumption autonomous energy efficiency improvementsexo,pctnone75, 78
SHKsec_std, regionsshock to capital efficiencyexo,pctnone31, 33
SHKCregionsshock to aggregate consumptionexo,gdpnone71
SHKIregions, sec_stdshock to inv equationexo,gdpnone43
SHKMregionsshock to money demandexo,pctnone80
SHLregions, sec_stdshock to labor due to labor-augmenting technical change and/or population growthexo,pctnone15, 31
SHLYregionsshock to raw capital sector labor due to labor-augmenting technical change and/or population growthexo,pctnone18, 32
SHLZregionsshock to household capital sector labor due to labor-augmenting technical change and/or population growthexo,pctnone74, 78
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, 74, 75, 76, 77, 78
STMsec_std, regionsstock market valueend,gdp6263, 92
STMTregionstotal stock market valueend,gdp63none
TAXgoods, regionssales tax on compositeexo,pctnone140, 146, 25
TAXCregionsrevenue from sales and company taxesend,gdp140143
TAXEregionsrevenue from externality taxesend,gdp155143
TAXHregionsrevenue from taxes on wagesend,gdp139143, 93
TAXLregionsrevenue from lump-sum taxesend,gdp142143, 70, 93
TAXMregionstariff revenueend,gdp137143
TAXSregionsexogenous lump sum taxexo,gdpnone142
TAXTregionstotal revenueend,gdp143144
TAXXregionsexternal tax revenueend,gdp138143
TBALregionstrade surplus, domestic currencyend,gdp97123, 128, 86, 87, 90, 98
TBAUregionstrade surplus, USDend,gdp9891
TCORregionstax rate on corporate profitsexo,pctnone140, 49, 50, 70
TEXgoods, regionsextern tax on compositeexo,pctnone12, 138
TIMgoods_o, dest, origtariff ratesexo,pctnone136, 26, 7
TINCregionstax rate on labor incomeexo,pctnone139, 70
TITCsec_std, regionsinvestment tax credit rateexo,pctnone140, 49, 52, 62
TITCHregionshouseholds investment tax credit rateexo,pctnone139, 51, 54
TIXgoods_o, dest, origiceberg costsexo,pctnone26, 7
TOBsec_std, regionsmarginal q, TOB.NCend,pct5243, 55
TOBYregionsmarginal Q, raw capital sectorend,pct5347, 56
TOBZregionsmarginal Q, household capitalend,pct5448, 57
TPAsec_std, regionspartial adjustment qpct,sta5543, 55
TPAYregionspartial adjustment Q, raw capital sectorpct,sta5647, 56
TPAZregionspartial adjustment Q, household capitalpct,sta5748, 57
TRANregionstotal transfersend,gdp135144, 70, 93
TRANXregionsexogenous transfersexo,gdpnone135
TXGSsec_std, goods_e, regionsunit tax on goods to sectorsdollar,exonone146
TXMgoods_o, desttariff revenue by goodend,gdp136137
WAGsec_std, regionsnominal sector wageend,idx,logged38139, 15, 31, 39, 58, 70, 93
WAGEregionsnominal wageidx,intertemporal_constant,logged,sta36128, 129, 139, 18, 32, 36, 37, 38, 59, 60, 70, 74, 78, 93
WAGGregionsgovernment wageend,idx,logged37134, 139, 70, 93
WAGRsec_std, regionsreal sector wageend,idx,logged39none
WELHregionshuman wealthcos,gdp,intertemporal_constant9392, 93
WELTregionstotal wealthend,gdp9271
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
ashrcurrency, ownerasset split among currencies
base_jksec_std, regionsbase J/K
base_rate_of_return_on_capitalsec_std, regionsbase rate of return used in LAM costate
base_rate_of_return_on_capital_yregionsbase rate of return used in LAMY costate
base_rate_of_return_on_capital_zregionsbase rate of return used in LAMZ costate
cd_dfgoods_o, regions1 if Cobb-Douglas, 0 if CES
cd_esec_std, 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_msec_std, regions1 if cd, 0 if ces
cd_mHregions1 if cd, 0 if ces
cd_mRregions1 if cd, 0 if ces
cd_osec_std, 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
eurowtregionsweight on countries in Eurozone
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
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
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_esec_std, regionssubs elast, E tier
sigma_eHregionssubs elast, E tier
sigma_eRregionssubs elast, E tier
sigma_ffgoods_o, destsubs elast between F sources
sigma_msec_std, regionssubs elast, M tier
sigma_mHregionssubs elast, M tier
sigma_mRregionssubs elast, M tier
sigma_osec_std, 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 g6 in goods_e, r22 in regions (22 total):
\[ \href{#OUY}{OUY(g6,r22)} = \href{#CON}{CON(g6,r22)}+\href{#IIN}{IIN(g6,r22)} +\href{#INS}{INS(r22,g6)} +\href{#GCE}{GCE(g6,r22)} +\href{#EXQ}{EXQ(g6,r22)} +\sum_{s \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(\href{#EN}{EN(s,g6,r22)}\right) } \]
Equation 3: OUY
For g8 in goods_mc, r22 in regions (88 total):
\[ \href{#OUY}{OUY(g8,r22)} = \href{#CON}{CON(g8,r22)}+\href{#IIN}{IIN(g8,r22)} +\href{#INS}{INS(r22,g8)} +\href{#GCE}{GCE(g8,r22)} +\href{#EXQ}{EXQ(g8,r22)} +\sum_{s \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(\href{#OI}{OI(s,g8,r22)}\right) } \]
Equation 4: OUY
For g5 in goods_d, r22 in regions (22 total):
\[ \href{#OUY}{OUY(g5,r22)} = \href{#IIN}{IIN(g5,r22)}+\href{#INS}{INS(r22,g5)} +\href{#GCE}{GCE(g5,r22)} +\href{#EXQ}{EXQ(g5,r22)} +\sum_{s \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(\href{#OI}{OI(s,g5,r22)}\right) } \]
Equation 5: IMQ
For g9 in goods_o, r22 in regions (132 total):
\[ \href{#IMQ}{IMQ(g9,r22)} = {(1-\href{#delta_dom}{delta\_dom(g9,r22)})} *\href{#OUY}{OUY(g9,r22)} *exp{ \left( \href{#PRS}{PRS(g9,r22)}-\href{#PMR}{PMR(g9,r22)}\right) } ^\href{#sigma_df}{sigma\_df(g9,r22)} \]
Equation 6: PIM
For d in dest, g9 in goods_o, o in orig (2904 total):
\[ \href{#PIM}{PIM(g9,d,o)} = \href{#EXCH}{EXCH(o)}+\href{#PRX}{PRX(g9,o)} -\href{#EXCH}{EXCH(d)} \]
Equation 7: IMP
For d in dest, g9 in goods_o, o in orig (2904 total):
\[ \href{#IMP}{IMP(g9,d,o)} = \href{#delta_ff}{delta\_ff(g9,d,o)}*\href{#IMQ}{IMQ(g9,d)} *{(\href{#BCT}{BCT(g9,d,o)} +{(1 +\href{#TIM}{TIM(g9,d,o)}+\href{#TIX}{TIX(g9,d,o)})} *exp{ \left( \href{#PIM}{PIM(g9,d,o)}-\href{#PMR}{PMR(g9,d)}\right) })} ^{(-\href{#sigma_ff}{sigma\_ff(g9,d)})} +\href{#IMPX}{IMPX(g9,d,o)} \]
Equation 8: PMQ
For d in dest, g9 in goods_o (132 total):
\[ \href{#PMQ}{PMQ(g9,d)} = ln{ \left( \frac{\sum_{o \; \text{in} \; \href{#orig}{orig}} { \left(\href{#IMP}{IMP(g9,d,o)} *exp{ \left(\href{#PIM}{PIM(g9,d,o)}\right) }\right) }}{\href{#IMQ}{IMQ(g9,d)}}\right) } \]
Equation 9: IMQT
For r22 in regions (22 total):
\[ \href{#IMQT}{IMQT(r22)} = \frac{\sum_{g9 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(exp{ \left(\href{#PMQ}{PMQ(g9,r22)}\right) } *\href{#IMQ}{IMQ(g9,r22)}\right) }}{exp{ \left(\href{#PRIM}{PRIM(r22)}\right) }} \]
Equation 10: EXQT
For r22 in regions (22 total):
\[ \href{#EXQT}{EXQT(r22)} = \frac{\sum_{g9 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(exp{ \left(\href{#PRX}{PRX(g9,r22)}\right) } *\href{#EXQ}{EXQ(g9,r22)}\right) }}{exp{ \left(\href{#PRIX}{PRIX(r22)}\right) }} \]
Equation 11: EXQ
For g9 in goods_o, o in orig (132 total):
\[ \href{#EXQ}{EXQ(g9,o)} = \sum_{d \; \text{in} \; \href{#dest}{dest}} { \left(\href{#IMP}{IMP(g9,d,o)}\right) } \]
Equation 12: PRX
For g9 in goods_o, r22 in regions (132 total):
\[ \href{#PRX}{PRX(g9,r22)} = ln{ \left( {(1+\href{#TEX}{TEX(g9,r22)})} *exp{ \left(\href{#PRS}{PRS(g9,r22)}\right) }\right) } \]
Equation 13: OUG
For g9 in goods_o, r22 in regions (132 total):
\[ \href{#OUG}{OUG(g9,r22)} = \href{#delta_dom}{delta\_dom(g9,r22)}*\href{#OUY}{OUY(g9,r22)} *exp{ \left( \href{#PRS}{PRS(g9,r22)}-\href{#PRD}{PRD(g9,r22)}\right) } ^\href{#sigma_df}{sigma\_df(g9,r22)} \]
Equation 14: OUP
For r22 in regions, s8 in sectors (132 total):
\[ \href{#OUP}{OUP(s8,r22)} = \sum_{g4 \; \text{in} \; \href{#goods}{goods}} { \left(\href{#makeinv}{makeinv(g4,s8,r22)}*\href{#OUG}{OUG(g4,r22)}\right) } \]
Equation 15: LAB
For r22 in regions, s in sec_std (132 total):
\[ \href{#LAB}{LAB(s,r22)} = exp{ \left( \href{#SHL}{SHL(r22,s)}+\href{#SHY}{SHY(s,r22)}\right) } ^{(\href{#sigma_o}{sigma\_o(s,r22)}-1)} *\href{#delta_o}{delta\_o(\text{l},s,r22)} *\href{#OUP}{OUP(s,r22)} *exp{ \left( \href{#PRP}{PRP(s,r22)}-\href{#WAG}{WAG(s,r22)}\right) } ^\href{#sigma_o}{sigma\_o(s,r22)} \]
Equation 16: ENT
For r22 in regions, s in sec_std (132 total):
\[ \href{#ENT}{ENT(s,r22)} = exp{ \left( \href{#SHEF}{SHEF(s,r22)}+\href{#SHY}{SHY(s,r22)}\right) } ^{(\href{#sigma_o}{sigma\_o(s,r22)}-1)} *\href{#delta_o}{delta\_o(\text{e},s,r22)} *\href{#OUP}{OUP(s,r22)} *exp{ \left( \href{#PRP}{PRP(s,r22)}-\href{#PRE}{PRE(s,r22)}\right) } ^\href{#sigma_o}{sigma\_o(s,r22)} \]
Equation 17: OIN
For r22 in regions, s in sec_std (132 total):
\[ \href{#OIN}{OIN(s,r22)} = exp{ \left(\href{#SHY}{SHY(s,r22)}\right) } ^{(\href{#sigma_o}{sigma\_o(s,r22)}-1)} *\href{#delta_o}{delta\_o(\text{m},s,r22)} *\href{#OUP}{OUP(s,r22)} *exp{ \left( \href{#PRP}{PRP(s,r22)}-\href{#POI}{POI(s,r22)}\right) } ^\href{#sigma_o}{sigma\_o(s,r22)} \]
Equation 18: IITL
For r22 in regions (22 total):
\[ \href{#IITL}{IITL(r22)} = exp{ \left( \href{#SHLY}{SHLY(r22)}+\href{#SHYY}{SHYY(r22)}\right) } ^{(\href{#sigma_oR}{sigma\_oR(r22)}-1)} *\href{#delta_oR}{delta\_oR(\text{l},r22)} *\href{#INVT}{INVT(r22)} *exp{ \left( \href{#PRII}{PRII(r22)}-\href{#WAGE}{WAGE(r22)}\right) } ^\href{#sigma_oR}{sigma\_oR(r22)} \]
Equation 19: IITE
For r22 in regions (22 total):
\[ \href{#IITE}{IITE(r22)} = exp{ \left(\href{#SHYY}{SHYY(r22)}\right) } ^{(\href{#sigma_oR}{sigma\_oR(r22)}-1)} *\href{#delta_oR}{delta\_oR(\text{e},r22)} *\href{#INVT}{INVT(r22)} *exp{ \left( \href{#PRII}{PRII(r22)}-\href{#PRIE}{PRIE(r22)}\right) } ^\href{#sigma_oR}{sigma\_oR(r22)} \]
Equation 20: IITO
For r22 in regions (22 total):
\[ \href{#IITO}{IITO(r22)} = exp{ \left(\href{#SHYY}{SHYY(r22)}\right) } ^{(\href{#sigma_oR}{sigma\_oR(r22)}-1)} *\href{#delta_oR}{delta\_oR(\text{m},r22)} *\href{#INVT}{INVT(r22)} *exp{ \left( \href{#PRII}{PRII(r22)}-\href{#PROI}{PROI(r22)}\right) } ^\href{#sigma_oR}{sigma\_oR(r22)} \]
Equation 21: IIN
For g6 in goods_e, r22 in regions (22 total):
\[ \href{#IIN}{IIN(g6,r22)} = \href{#delta_eR}{delta\_eR(g6,r22)}*\href{#IITE}{IITE(r22)} *exp{ \left( \href{#PRIE}{PRIE(r22)}-\href{#PRY}{PRY(g6,r22)}\right) } ^\href{#sigma_eR}{sigma\_eR(r22)} \]
Equation 22: IIN
For g7 in goods_m, r22 in regions (110 total):
\[ \href{#IIN}{IIN(g7,r22)} = \href{#delta_mR}{delta\_mR(g7,r22)}*\href{#IITO}{IITO(r22)} *exp{ \left( \href{#PROI}{PROI(r22)}-\href{#PRY}{PRY(g7,r22)}\right) } ^\href{#sigma_mR}{sigma\_mR(r22)} \]
Equation 23: LABO
For r22 in regions (22 total):
\[ \href{#LABO}{LABO(r22)} = \href{#IITL}{IITL(r22)}+\href{#CNPL}{CNPL(r22)} +\href{#GOVL}{GOVL(r22)} +\sum_{s \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(\href{#LAB}{LAB(s,r22)}\right) } \]
Equation 24: PRS
For g9 in goods_o, r22 in regions (132 total):
\[ \href{#PRS}{PRS(g9,r22)} = \href{#cd_df}{cd\_df(g9,r22)} *{(\href{#delta_dom}{delta\_dom(g9,r22)}*\href{#PRD}{PRD(g9,r22)} +{(1-\href{#delta_dom}{delta\_dom(g9,r22)})} *\href{#PMR}{PMR(g9,r22)})} +\frac{{({(1-\href{#cd_df}{cd\_df(g9,r22)})} *ln{ \left( \href{#delta_dom}{delta\_dom(g9,r22)} *exp{ \left(\href{#PRD}{PRD(g9,r22)}\right) } ^{(1-\href{#sigma_df}{sigma\_df(g9,r22)})} +{(1-\href{#delta_dom}{delta\_dom(g9,r22)})} *exp{ \left(\href{#PMR}{PMR(g9,r22)}\right) } ^{(1-\href{#sigma_df}{sigma\_df(g9,r22)})}\right) })}}{{(1 -\href{#sigma_df}{sigma\_df(g9,r22)}*{(1-\href{#cd_df}{cd\_df(g9,r22)})})}} \]
Equation 25: PRY
For g4 in goods, r22 in regions (132 total):
\[ \href{#PRY}{PRY(g4,r22)} = ln{ \left(1+\href{#TAX}{TAX(g4,r22)}\right) } +\href{#PRS}{PRS(g4,r22)} \]
Equation 26: PMR
For d in dest, g9 in goods_o (132 total):
\[ \href{#PMR}{PMR(g9,d)} = 0.0 +\href{#cd_ff}{cd\_ff(g9,d)} *\sum_{o \; \text{in} \; \href{#orig}{orig}} { \left(\href{#delta_ff}{delta\_ff(g9,d,o)} *ln{ \left( \href{#BCT}{BCT(g9,d,o)} +{(1 +\href{#TIM}{TIM(g9,d,o)}+\href{#TIX}{TIX(g9,d,o)})} *exp{ \left(\href{#PIM}{PIM(g9,d,o)}\right) }\right) }\right) } +\frac{{({(1-\href{#cd_ff}{cd\_ff(g9,d)})} *ln{ \left( \sum_{o \; \text{in} \; \href{#orig}{orig}} { \left(\href{#delta_ff}{delta\_ff(g9,d,o)} *{(\href{#BCT}{BCT(g9,d,o)} +{(1 +\href{#TIM}{TIM(g9,d,o)}+\href{#TIX}{TIX(g9,d,o)})} *exp{ \left(\href{#PIM}{PIM(g9,d,o)}\right) })} ^{(1-\href{#sigma_ff}{sigma\_ff(g9,d)})}\right) }\right) })}}{{(1 -\href{#sigma_ff}{sigma\_ff(g9,d)}*{(1-\href{#cd_ff}{cd\_ff(g9,d)})})}} \]
Equation 27: PRIM
For r22 in regions (22 total):
\[ \href{#PRIM}{PRIM(r22)} = \sum_{g9 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(\href{#prim_weight}{prim\_weight(g9,r22)} *\href{#PMQ}{PMQ(g9,r22)}\right) } \]
Equation 28: PRIE
For r22 in regions (22 total):
\[ \href{#PRIE}{PRIE(r22)} = \href{#cd_eR}{cd\_eR(r22)} *\sum_{g6 \; \text{in} \; \href{#goods_e}{goods\_e}} { \left(\href{#delta_eR}{delta\_eR(g6,r22)}*\href{#PRY}{PRY(g6,r22)}\right) } +\frac{{({(1-\href{#cd_eR}{cd\_eR(r22)})} *ln{ \left( \sum_{g6 \; \text{in} \; \href{#goods_e}{goods\_e}} { \left(\href{#delta_eR}{delta\_eR(g6,r22)} *exp{ \left(\href{#PRY}{PRY(g6,r22)}\right) } ^{(1-\href{#sigma_eR}{sigma\_eR(r22)})}\right) }\right) })}}{{(1 -\href{#sigma_eR}{sigma\_eR(r22)}*{(1-\href{#cd_eR}{cd\_eR(r22)})})}} \]
Equation 29: PROI
For r22 in regions (22 total):
\[ \href{#PROI}{PROI(r22)} = \href{#cd_mR}{cd\_mR(r22)} *\sum_{g7 \; \text{in} \; \href{#goods_m}{goods\_m}} { \left(\href{#delta_mR}{delta\_mR(g7,r22)}*\href{#PRY}{PRY(g7,r22)}\right) } +\frac{{({(1-\href{#cd_mR}{cd\_mR(r22)})} *ln{ \left( \sum_{g7 \; \text{in} \; \href{#goods_m}{goods\_m}} { \left(\href{#delta_mR}{delta\_mR(g7,r22)} *exp{ \left(\href{#PRY}{PRY(g7,r22)}\right) } ^{(1-\href{#sigma_mR}{sigma\_mR(r22)})}\right) }\right) })}}{{(1 -\href{#sigma_mR}{sigma\_mR(r22)}*{(1-\href{#cd_mR}{cd\_mR(r22)})})}} \]
Equation 30: PRD
For g4 in goods, r22 in regions (132 total):
\[ \href{#PRD}{PRD(g4,r22)} = ln{ \left( exp{ \left( \sum_{s8 \; \text{in} \; \href{#sectors}{sectors}} { \left(\href{#makeinv}{makeinv(g4,s8,r22)}*\href{#PRP}{PRP(s8,r22)}\right) }\right) }\right) } \]
Equation 31: PRP
For r22 in regions, s in sec_std (132 total):
\[ \href{#PRP}{PRP(s,r22)} = \href{#cd_o}{cd\_o(s,r22)} *{(\href{#delta_o}{delta\_o(\text{k},s,r22)} *\href{#PRK}{PRK(s,r22)} +\href{#delta_o}{delta\_o(\text{l},s,r22)} *\href{#WAG}{WAG(s,r22)} +\href{#delta_o}{delta\_o(\text{e},s,r22)} *\href{#PRE}{PRE(s,r22)} +\href{#delta_o}{delta\_o(\text{m},s,r22)} *\href{#POI}{POI(s,r22)} -\href{#delta_o}{delta\_o(\text{l},s,r22)} *\href{#SHL}{SHL(r22,s)} -\href{#delta_o}{delta\_o(\text{k},s,r22)} *\href{#SHK}{SHK(s,r22)} -\href{#delta_o}{delta\_o(\text{e},s,r22)} *\href{#SHEF}{SHEF(s,r22)})} +\frac{{({(1-\href{#cd_o}{cd\_o(s,r22)})} *ln{ \left( \href{#delta_o}{delta\_o(\text{k},s,r22)} *exp{ \left( \href{#PRK}{PRK(s,r22)}-\href{#SHK}{SHK(s,r22)}\right) } ^{(1-\href{#sigma_o}{sigma\_o(s,r22)})} +\href{#delta_o}{delta\_o(\text{l},s,r22)} *exp{ \left( \href{#WAG}{WAG(s,r22)}-\href{#SHL}{SHL(r22,s)}\right) } ^{(1-\href{#sigma_o}{sigma\_o(s,r22)})} +\href{#delta_o}{delta\_o(\text{e},s,r22)} *exp{ \left( \href{#PRE}{PRE(s,r22)}-\href{#SHEF}{SHEF(s,r22)}\right) } ^{(1-\href{#sigma_o}{sigma\_o(s,r22)})} +\href{#delta_o}{delta\_o(\text{m},s,r22)} *exp{ \left(\href{#POI}{POI(s,r22)}\right) } ^{(1-\href{#sigma_o}{sigma\_o(s,r22)})}\right) })}}{{(1 -\href{#sigma_o}{sigma\_o(s,r22)}*{(1-\href{#cd_o}{cd\_o(s,r22)})})}} -\href{#SHY}{SHY(s,r22)} \]
Equation 32: PRII
For r22 in regions (22 total):
\[ \href{#PRII}{PRII(r22)} = \href{#cd_oR}{cd\_oR(r22)} *{(\href{#delta_oR}{delta\_oR(\text{k},r22)} *\href{#PRKY}{PRKY(r22)} +\href{#delta_oR}{delta\_oR(\text{l},r22)} *\href{#WAGE}{WAGE(r22)} +\href{#delta_oR}{delta\_oR(\text{e},r22)} *\href{#PRIE}{PRIE(r22)} +\href{#delta_oR}{delta\_oR(\text{m},r22)} *\href{#PROI}{PROI(r22)} -\href{#delta_oR}{delta\_oR(\text{l},r22)} *\href{#SHLY}{SHLY(r22)})} +\frac{{({(1-\href{#cd_oR}{cd\_oR(r22)})} *ln{ \left( \href{#delta_oR}{delta\_oR(\text{k},r22)} *exp{ \left(\href{#PRKY}{PRKY(r22)}\right) } ^{(1-\href{#sigma_oR}{sigma\_oR(r22)})} +\href{#delta_oR}{delta\_oR(\text{l},r22)} *exp{ \left( \href{#WAGE}{WAGE(r22)}-\href{#SHLY}{SHLY(r22)}\right) } ^{(1-\href{#sigma_oR}{sigma\_oR(r22)})} +\href{#delta_oR}{delta\_oR(\text{e},r22)} *exp{ \left(\href{#PRIE}{PRIE(r22)}\right) } ^{(1-\href{#sigma_oR}{sigma\_oR(r22)})} +\href{#delta_oR}{delta\_oR(\text{m},r22)} *exp{ \left(\href{#PROI}{PROI(r22)}\right) } ^{(1-\href{#sigma_oR}{sigma\_oR(r22)})}\right) })}}{{(1 -\href{#sigma_oR}{sigma\_oR(r22)}*{(1-\href{#cd_oR}{cd\_oR(r22)})})}} -\href{#SHYY}{SHYY(r22)} \]
Equation 33: PRK
For r22 in regions, s in sec_std (132 total):
\[ \href{#PRK}{PRK(s,r22)} = \href{#PRP}{PRP(s,r22)} +\frac{ln{ \left( \frac{{(\href{#delta_o}{delta\_o(\text{k},s,r22)} *\href{#OUP}{OUP(s,r22)})}}{\href{#CAP}{CAP(s,r22)}}\right) }}{\href{#sigma_o}{sigma\_o(s,r22)}} +\frac{{({(\href{#SHY}{SHY(s,r22)}+\href{#SHK}{SHK(s,r22)})} *{(\href{#sigma_o}{sigma\_o(s,r22)}-1)})}}{\href{#sigma_o}{sigma\_o(s,r22)}} \]
Equation 34: PRKY
For r22 in regions (22 total):
\[ \href{#PRKY}{PRKY(r22)} = \href{#PRII}{PRII(r22)} +\frac{ln{ \left( \frac{{(\href{#delta_oR}{delta\_oR(\text{k},r22)} *\href{#INVT}{INVT(r22)})}}{\href{#CAPY}{CAPY(r22)}}\right) }}{\href{#sigma_oR}{sigma\_oR(r22)}} +\frac{{(\href{#SHYY}{SHYY(r22)}*{(\href{#sigma_oR}{sigma\_oR(r22)}-1)})}}{\href{#sigma_oR}{sigma\_oR(r22)}} \]
Equation 35: PRKZ
For r22 in regions (22 total):
\[ \href{#PRKZ}{PRKZ(r22)} = \href{#PRCT}{PRCT(r22)} +\frac{ln{ \left( \frac{{(\href{#delta_oH}{delta\_oH(\text{k},r22)} *\href{#CONP}{CONP(r22)})}}{\href{#CAPZ}{CAPZ(r22)}}\right) }}{\href{#sigma_oH}{sigma\_oH(r22)}} +\frac{{(\href{#SHYZ}{SHYZ(r22)}*{(\href{#sigma_oH}{sigma\_oH(r22)}-1)})}}{\href{#sigma_oH}{sigma\_oH(r22)}} \]
Equation 36: WAGE
For r22 in regions (22 total):
\[ lead({\href{#WAGE}{WAGE(r22)}}) = \href{#WAGE}{WAGE(r22)} +\href{#wage_p}{wage\_p(r22)} *{(lead({\href{#PRCT}{PRCT(r22)}})-\href{#PRCT}{PRCT(r22)} +\href{#PRXX}{PRXX(r22)})} +{(1-\href{#wage_p}{wage\_p(r22)})} *{(\href{#PRCT}{PRCT(r22)}-\href{#PRCL}{PRCL(r22)})} +\href{#wage_q}{wage\_q(r22)} *{(ln{ \left(\href{#LABO}{LABO(r22)}\right) } -ln{ \left(\href{#LABX}{LABX(r22)}\right) })} +\href{#WERR}{WERR(r22)} \]
Equation 37: WAGG
For r22 in regions (22 total):
\[ \href{#WAGG}{WAGG(r22)} = \href{#WAGE}{WAGE(r22)} \]
Equation 38: WAG
For r22 in regions, s in sec_std (132 total):
\[ \href{#WAG}{WAG(s,r22)} = \href{#WAGE}{WAGE(r22)} \]
Equation 39: WAGR
For r22 in regions, s in sec_std (132 total):
\[ \href{#WAGR}{WAGR(s,r22)} = \href{#WAG}{WAG(s,r22)}-\href{#PRP}{PRP(s,r22)} \]
Equation 40: CAP
For r22 in regions, s in sec_std (132 total):
\[ lead({\href{#CAP}{CAP(s,r22)}}) = \href{#JNV}{JNV(s,r22)} +{(1-\href{#delta}{delta(s,r22)}-\href{#labgrow}{labgrow(r22)})} *\href{#CAP}{CAP(s,r22)} \]
Equation 41: CAPY
For r22 in regions (22 total):
\[ lead({\href{#CAPY}{CAPY(r22)}}) = \href{#JNVY}{JNVY(r22)} +{(1-\href{#delta_y}{delta\_y(r22)}-\href{#labgrow}{labgrow(r22)})} *\href{#CAPY}{CAPY(r22)} \]
Equation 42: CAPZ
For r22 in regions (22 total):
\[ lead({\href{#CAPZ}{CAPZ(r22)}}) = \href{#JNVZ}{JNVZ(r22)} +{(1-\href{#delta_z}{delta\_z(r22)}-\href{#labgrow}{labgrow(r22)})} *\href{#CAPZ}{CAPZ(r22)} \]
Equation 43: INV
For r22 in regions, s in sec_std (132 total):
\[ \href{#INV}{INV(s,r22)} = \frac{{({(1+.5*{(\href{#TOB}{TOB(s,r22)}-1)})}*{(\href{#TOB}{TOB(s,r22)}-1)} *\href{#CAP}{CAP(s,r22)})}}{\href{#phi}{phi(s,r22)}} *\href{#forei}{forei(s,r22)} +\frac{{({(1+.5*{(\href{#TPA}{TPA(s,r22)}-1)})}*{(\href{#TPA}{TPA(s,r22)}-1)} *\href{#CAP}{CAP(s,r22)})}}{\href{#phi}{phi(s,r22)}} *{(1-\href{#forei}{forei(s,r22)})} +\href{#SHKI}{SHKI(r22,s)} \]
Equation 44: JNV
For r22 in regions, s in sec_std (132 total):
\[ \href{#JNV}{JNV(s,r22)} = \frac{{(\href{#INV}{INV(s,r22)} +\frac{\href{#phi}{phi(s,r22)}}{2}*\href{#base_jk}{base\_jk(s,r22)}^2 *\href{#CAP}{CAP(s,r22)})}}{{(1 +\href{#phi}{phi(s,r22)}*\href{#base_jk}{base\_jk(s,r22)})}} \]
Equation 45: INVY
For r22 in regions (22 total):
\[ \href{#INVY}{INVY(r22)} = \href{#JNVY}{JNVY(r22)} *{(1 +\frac{{(\frac{\href{#phi_y}{phi\_y(r22)}}{2}*\href{#JNVY}{JNVY(r22)})}}{\href{#CAPY}{CAPY(r22)}})} \]
Equation 46: INVZ
For r22 in regions (22 total):
\[ \href{#INVZ}{INVZ(r22)} = \href{#JNVZ}{JNVZ(r22)} *{(1 +\frac{{(\frac{\href{#phi_z}{phi\_z(r22)}}{2}*\href{#JNVZ}{JNVZ(r22)})}}{\href{#CAPZ}{CAPZ(r22)}})} \]
Equation 47: JNVY
For r22 in regions (22 total):
\[ \href{#JNVY}{JNVY(r22)} = \frac{{(\href{#CAPY}{CAPY(r22)} *{(\href{#fore_i_y}{fore\_i\_y(r22)}*\href{#TOBY}{TOBY(r22)} +{(1-\href{#fore_i_y}{fore\_i\_y(r22)})}*\href{#TPAY}{TPAY(r22)} -1)})}}{\href{#phi_y}{phi\_y(r22)}} \]
Equation 48: JNVZ
For r22 in regions (22 total):
\[ \href{#JNVZ}{JNVZ(r22)} = \frac{{(\href{#CAPZ}{CAPZ(r22)} *{(\href{#fore_i_z}{fore\_i\_z(r22)}*\href{#TOBZ}{TOBZ(r22)} +{(1-\href{#fore_i_z}{fore\_i\_z(r22)})}*\href{#TPAZ}{TPAZ(r22)} -1)})}}{\href{#phi_z}{phi\_z(r22)}} \]
Equation 49: LAM
For r22 in regions, s in sec_std (132 total):
\[ lead({\href{#LAM}{LAM(s,r22)}}) = {(1+\href{#INTR}{INTR(r22)}+\href{#RISE}{RISE(s,r22)} +\href{#delta}{delta(s,r22)})} *\href{#LAM}{LAM(s,r22)} -{(1-\href{#TCOR}{TCOR(r22)})} *\href{#base_rate_of_return_on_capital}{base\_rate\_of\_return\_on\_capital(s,r22)} *exp{ \left( \href{#PRK}{PRK(s,r22)}-\href{#PRID}{PRID(r22)}\right) } -{(1-\href{#TITC}{TITC(s,r22)})} *exp{ \left( \href{#PRII}{PRII(r22)}-\href{#PRID}{PRID(r22)}\right) } *\frac{\href{#phi}{phi(s,r22)}}{2} *\frac{\href{#JNV}{JNV(s,r22)}}{\href{#CAP}{CAP(s,r22)}} ^2 \]
Equation 50: LAMY
For r22 in regions (22 total):
\[ lead({\href{#LAMY}{LAMY(r22)}}) = {(1+\href{#INTR}{INTR(r22)}+\href{#RISY}{RISY(r22)} +\href{#delta_y}{delta\_y(r22)})} *\href{#LAMY}{LAMY(r22)} -{(1-\href{#TCOR}{TCOR(r22)})} *\href{#base_rate_of_return_on_capital_y}{base\_rate\_of\_return\_on\_capital\_y(r22)} *exp{ \left( \href{#PRKY}{PRKY(r22)}-\href{#PRID}{PRID(r22)}\right) } -exp{ \left( \href{#PRII}{PRII(r22)}-\href{#PRID}{PRID(r22)}\right) } *\frac{\href{#phi_y}{phi\_y(r22)}}{2} *\frac{\href{#JNVY}{JNVY(r22)}}{\href{#CAPY}{CAPY(r22)}} ^2 \]
Equation 51: LAMZ
For r22 in regions (22 total):
\[ lead({\href{#LAMZ}{LAMZ(r22)}}) = {(1+\href{#INTR}{INTR(r22)}+\href{#RISZ}{RISZ(r22)} +\href{#delta_z}{delta\_z(r22)})} *\href{#LAMZ}{LAMZ(r22)} -\href{#base_rate_of_return_on_capital_z}{base\_rate\_of\_return\_on\_capital\_z(r22)} *exp{ \left( \href{#PRKZ}{PRKZ(r22)}-\href{#PRID}{PRID(r22)}\right) } -{(1-\href{#TITCH}{TITCH(r22)})} *exp{ \left( \href{#PRII}{PRII(r22)}-\href{#PRID}{PRID(r22)}\right) } *\frac{\href{#phi_z}{phi\_z(r22)}}{2} *\frac{\href{#JNVZ}{JNVZ(r22)}}{\href{#CAPZ}{CAPZ(r22)}} ^2 \]
Equation 52: TOB
For r22 in regions, s in sec_std (132 total):
\[ \href{#TOB}{TOB(s,r22)} = \frac{{(\href{#LAM}{LAM(s,r22)} *exp{ \left( \href{#PRID}{PRID(r22)}-\href{#PRII}{PRII(r22)}\right) })}}{{(1-\href{#TITC}{TITC(s,r22)})}} \]
Equation 53: TOBY
For r22 in regions (22 total):
\[ \href{#TOBY}{TOBY(r22)} = \href{#LAMY}{LAMY(r22)} *exp{ \left( \href{#PRID}{PRID(r22)}-\href{#PRII}{PRII(r22)}\right) } \]
Equation 54: TOBZ
For r22 in regions (22 total):
\[ \href{#TOBZ}{TOBZ(r22)} = \frac{{(\href{#LAMZ}{LAMZ(r22)} *exp{ \left( \href{#PRID}{PRID(r22)}-\href{#PRII}{PRII(r22)}\right) })}}{{(1-\href{#TITCH}{TITCH(r22)})}} \]
Equation 55: TPA
For r22 in regions, s in sec_std (132 total):
\[ lead({\href{#TPA}{TPA(s,r22)}}) = \href{#TPA}{TPA(s,r22)} +\href{#adapt}{adapt(r22)} *{(\href{#TOB}{TOB(s,r22)}-\href{#TPA}{TPA(s,r22)})} \]
Equation 56: TPAY
For r22 in regions (22 total):
\[ lead({\href{#TPAY}{TPAY(r22)}}) = \href{#TPAY}{TPAY(r22)} +\href{#adapt}{adapt(r22)} *{(\href{#TOBY}{TOBY(r22)}-\href{#TPAY}{TPAY(r22)})} \]
Equation 57: TPAZ
For r22 in regions (22 total):
\[ lead({\href{#TPAZ}{TPAZ(r22)}}) = \href{#TPAZ}{TPAZ(r22)} +\href{#adapt}{adapt(r22)} *{(\href{#TOBZ}{TOBZ(r22)}-\href{#TPAZ}{TPAZ(r22)})} \]
Equation 58: PRF
For r22 in regions, s in sec_std (132 total):
\[ \href{#PRF}{PRF(s,r22)} = \frac{{(\href{#OUP}{OUP(s,r22)} *exp{ \left(\href{#PRP}{PRP(s,r22)}\right) } -\href{#ENT}{ENT(s,r22)} *exp{ \left(\href{#PRE}{PRE(s,r22)}\right) } -\href{#LAB}{LAB(s,r22)} *exp{ \left(\href{#WAG}{WAG(s,r22)}\right) } -\href{#OIN}{OIN(s,r22)} *exp{ \left(\href{#POI}{POI(s,r22)}\right) } -\href{#delta}{delta(s,r22)}*\href{#CAP}{CAP(s,r22)} *exp{ \left(\href{#PRII}{PRII(r22)}\right) })}}{exp{ \left(\href{#PRID}{PRID(r22)}\right) }} \]
Equation 59: PRFY
For r22 in regions (22 total):
\[ \href{#PRFY}{PRFY(r22)} = \frac{{(\href{#INVT}{INVT(r22)} *exp{ \left(\href{#PRII}{PRII(r22)}\right) } -\href{#IITE}{IITE(r22)} *exp{ \left(\href{#PRIE}{PRIE(r22)}\right) } -\href{#IITL}{IITL(r22)} *exp{ \left(\href{#WAGE}{WAGE(r22)}\right) } -\href{#IITO}{IITO(r22)} *exp{ \left(\href{#PROI}{PROI(r22)}\right) } -\href{#delta_y}{delta\_y(r22)}*\href{#CAPY}{CAPY(r22)} *exp{ \left(\href{#PRII}{PRII(r22)}\right) })}}{exp{ \left(\href{#PRID}{PRID(r22)}\right) }} \]
Equation 60: PRFZ
For r22 in regions (22 total):
\[ \href{#PRFZ}{PRFZ(r22)} = \frac{{(\href{#CONP}{CONP(r22)} *exp{ \left(\href{#PRCT}{PRCT(r22)}\right) } -\href{#CNPE}{CNPE(r22)} *exp{ \left(\href{#PRCE}{PRCE(r22)}\right) } -\href{#CNPL}{CNPL(r22)} *exp{ \left(\href{#WAGE}{WAGE(r22)}\right) } -\href{#CNPO}{CNPO(r22)} *exp{ \left(\href{#PRCO}{PRCO(r22)}\right) } -\href{#delta_z}{delta\_z(r22)}*\href{#CAPZ}{CAPZ(r22)} *exp{ \left(\href{#PRII}{PRII(r22)}\right) })}}{exp{ \left(\href{#PRID}{PRID(r22)}\right) }} \]
Equation 61: PRFT
For r22 in regions (22 total):
\[ \href{#PRFT}{PRFT(r22)} = \sum_{s \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(\href{#PRF}{PRF(s,r22)}\right) } +\href{#PRFY}{PRFY(r22)} \]
Equation 62: STM
For r22 in regions, s in sec_std (132 total):
\[ \href{#STM}{STM(s,r22)} = \frac{{(\href{#LAM}{LAM(s,r22)}*\href{#CAP}{CAP(s,r22)})}}{{(1-\href{#TITC}{TITC(s,r22)})}} \]
Equation 63: STMT
For r22 in regions (22 total):
\[ \href{#STMT}{STMT(r22)} = \sum_{s \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(\href{#STM}{STM(s,r22)}\right) } \]
Equation 64: INVP
For r22 in regions (22 total):
\[ \href{#INVP}{INVP(r22)} = \sum_{s \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(\href{#INV}{INV(s,r22)}\right) } \]
Equation 65: INVT
For r22 in regions (22 total):
\[ \href{#INVT}{INVT(r22)} = \href{#INVY}{INVY(r22)}+\href{#INVZ}{INVZ(r22)} +\href{#INVP}{INVP(r22)} \]
Equation 66: PRID
For r22 in regions (22 total):
\[ \href{#PRID}{PRID(r22)} = \sum_{g4 \; \text{in} \; \href{#goods}{goods}} { \left(\href{#prid_weight}{prid\_weight(g4,r22)} *\href{#PRD}{PRD(g4,r22)}\right) } \]
Equation 67: PRIX
For r22 in regions (22 total):
\[ \href{#PRIX}{PRIX(r22)} = \sum_{g9 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(\href{#prix_weight}{prix\_weight(g9,r22)} *\href{#PRX}{PRX(g9,r22)}\right) } \]
Equation 68: OUTP
For r22 in regions (22 total):
\[ \href{#OUTP}{OUTP(r22)} = \frac{\sum_{g4 \; \text{in} \; \href{#goods}{goods}} { \left(exp{ \left(\href{#PRD}{PRD(g4,r22)}\right) } *\href{#OUG}{OUG(g4,r22)}\right) }}{exp{ \left(\href{#PRID}{PRID(r22)}\right) }} \]
Equation 69: OUTL
For r22 in regions (22 total):
\[ lead({\href{#OUTL}{OUTL(r22)}}) = \href{#OUTP}{OUTP(r22)} \]
Equation 70: INCM
For r22 in regions (22 total):
\[ \href{#INCM}{INCM(r22)} = \href{#TRAN}{TRAN(r22)}-\href{#TAXL}{TAXL(r22)} +\href{#INTR}{INTR(r22)}*\href{#BOND}{BOND(r22)} +\frac{\href{#IRAS}{IRAS(r22)}}{exp{ \left(\href{#REXN}{REXN(r22)}\right) }} +\href{#PRFZ}{PRFZ(r22)} +{(1-\href{#TCOR}{TCOR(r22)})}*\href{#PRFT}{PRFT(r22)} +\frac{{({(1-\href{#TINC}{TINC(r22)})} *{(exp{ \left(\href{#WAGE}{WAGE(r22)}\right) } *{(\href{#IITL}{IITL(r22)}+\href{#CNPL}{CNPL(r22)})} +exp{ \left(\href{#WAGG}{WAGG(r22)}\right) } *\href{#GOVL}{GOVL(r22)} +\sum_{s \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(exp{ \left(\href{#WAG}{WAG(s,r22)}\right) } *\href{#LAB}{LAB(s,r22)}\right) })})}}{exp{ \left(\href{#PRID}{PRID(r22)}\right) }} \]
Equation 71: CONP
For r22 in regions (22 total):
\[ \href{#CONP}{CONP(r22)} = \href{#fore_c}{fore\_c(r22)} *{(\href{#timepref}{timepref(r22)}+\href{#RISW}{RISW(r22)})} *\href{#WELT}{WELT(r22)} *exp{ \left( \href{#PRID}{PRID(r22)}-\href{#PRCT}{PRCT(r22)}\right) } +{(1-\href{#fore_c}{fore\_c(r22)})}*\href{#mpc}{mpc(r22)} *\href{#INCM}{INCM(r22)} *exp{ \left( \href{#PRID}{PRID(r22)}-\href{#PRCT}{PRCT(r22)}\right) } +\href{#SHKC}{SHKC(r22)} \]
Equation 72: IRAS
For o1 in owner (22 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 73: INAS
For o1 in owner (22 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 74: CNPL
For r22 in regions (22 total):
\[ \href{#CNPL}{CNPL(r22)} = exp{ \left( \href{#SHLZ}{SHLZ(r22)}+\href{#SHYZ}{SHYZ(r22)}\right) } ^{(\href{#sigma_oH}{sigma\_oH(r22)}-1)} *\href{#delta_oH}{delta\_oH(\text{l},r22)} *\href{#CONP}{CONP(r22)} *exp{ \left( \href{#PRCT}{PRCT(r22)}-\href{#WAGE}{WAGE(r22)}\right) } ^\href{#sigma_oH}{sigma\_oH(r22)} \]
Equation 75: CNPE
For r22 in regions (22 total):
\[ \href{#CNPE}{CNPE(r22)} = exp{ \left( \href{#SHEFC}{SHEFC(r22)}+\href{#SHYZ}{SHYZ(r22)}\right) } ^{(\href{#sigma_oH}{sigma\_oH(r22)}-1)} *\href{#delta_oH}{delta\_oH(\text{e},r22)} *\href{#CONP}{CONP(r22)} *exp{ \left( \href{#PRCT}{PRCT(r22)}-\href{#PRCE}{PRCE(r22)}\right) } ^\href{#sigma_oH}{sigma\_oH(r22)} \]
Equation 76: CNPO
For r22 in regions (22 total):
\[ \href{#CNPO}{CNPO(r22)} = exp{ \left(\href{#SHYZ}{SHYZ(r22)}\right) } ^{(\href{#sigma_oH}{sigma\_oH(r22)}-1)} *\href{#delta_oH}{delta\_oH(\text{m},r22)} *\href{#CONP}{CONP(r22)} *exp{ \left( \href{#PRCT}{PRCT(r22)}-\href{#PRCO}{PRCO(r22)}\right) } ^\href{#sigma_oH}{sigma\_oH(r22)} \]
Equation 77: CNPK
For r22 in regions (22 total):
\[ \href{#CNPK}{CNPK(r22)} = exp{ \left(\href{#SHYZ}{SHYZ(r22)}\right) } ^{(\href{#sigma_oH}{sigma\_oH(r22)}-1)} *\href{#delta_oH}{delta\_oH(\text{k},r22)} *\href{#CONP}{CONP(r22)} *exp{ \left( \href{#PRCT}{PRCT(r22)}-\href{#PRKZ}{PRKZ(r22)}\right) } ^\href{#sigma_oH}{sigma\_oH(r22)} \]
Equation 78: PRCT
For r22 in regions (22 total):
\[ \href{#PRCT}{PRCT(r22)} = \href{#cd_oH}{cd\_oH(r22)} *{(\href{#delta_oH}{delta\_oH(\text{k},r22)} *\href{#PRKZ}{PRKZ(r22)} +\href{#delta_oH}{delta\_oH(\text{l},r22)} *\href{#WAGE}{WAGE(r22)} +\href{#delta_oH}{delta\_oH(\text{e},r22)} *\href{#PRCE}{PRCE(r22)} +\href{#delta_oH}{delta\_oH(\text{m},r22)} *\href{#PRCO}{PRCO(r22)} -\href{#delta_oH}{delta\_oH(\text{l},r22)} *\href{#SHLZ}{SHLZ(r22)} -\href{#delta_oH}{delta\_oH(\text{e},r22)} *\href{#SHEFC}{SHEFC(r22)})} +\frac{{({(1-\href{#cd_oH}{cd\_oH(r22)})} *ln{ \left( \href{#delta_oH}{delta\_oH(\text{k},r22)} *exp{ \left(\href{#PRKZ}{PRKZ(r22)}\right) } ^{(1-\href{#sigma_oH}{sigma\_oH(r22)})} +\href{#delta_oH}{delta\_oH(\text{l},r22)} *exp{ \left( \href{#WAGE}{WAGE(r22)}-\href{#SHLZ}{SHLZ(r22)}\right) } ^{(1-\href{#sigma_oH}{sigma\_oH(r22)})} +\href{#delta_oH}{delta\_oH(\text{e},r22)} *exp{ \left( \href{#PRCE}{PRCE(r22)}-\href{#SHEFC}{SHEFC(r22)}\right) } ^{(1-\href{#sigma_oH}{sigma\_oH(r22)})} +\href{#delta_oH}{delta\_oH(\text{m},r22)} *exp{ \left(\href{#PRCO}{PRCO(r22)}\right) } ^{(1-\href{#sigma_oH}{sigma\_oH(r22)})}\right) })}}{{(1 -\href{#sigma_oH}{sigma\_oH(r22)}*{(1-\href{#cd_oH}{cd\_oH(r22)})})}} -\href{#SHYZ}{SHYZ(r22)} \]
Equation 79: PRGT
For r22 in regions (22 total):
\[ \href{#PRGT}{PRGT(r22)} = \frac{\href{#delta_oG}{delta\_oG(\text{e},r22)}}{{(\href{#delta_oG}{delta\_oG(\text{e},r22)} +\href{#delta_oG}{delta\_oG(\text{m},r22)})}} *\sum_{g6 \; \text{in} \; \href{#goods_e}{goods\_e}} { \left(\href{#delta_eG}{delta\_eG(g6,r22)}*\href{#PRY}{PRY(g6,r22)}\right) } +\frac{\href{#delta_oG}{delta\_oG(\text{m},r22)}}{{(\href{#delta_oG}{delta\_oG(\text{e},r22)} +\href{#delta_oG}{delta\_oG(\text{m},r22)})}} *\sum_{g7 \; \text{in} \; \href{#goods_m}{goods\_m}} { \left(\href{#delta_mG}{delta\_mG(g7,r22)}*\href{#PRY}{PRY(g7,r22)}\right) } \]
Equation 80: MONE
For r22 in regions (22 total):
\[ \href{#MONE}{MONE(r22)} = \href{#PRID}{PRID(r22)} +ln{ \left(\href{#OUTP}{OUTP(r22)}\right) } +\href{#int_elast}{int\_elast(r22)}*\href{#INTN}{INTN(r22)} +\href{#SHKM}{SHKM(r22)} \]
Equation 81: INTF
For r22 in regions (22 total):
\[ \href{#INTF}{INTF(r22)} = \href{#INTN}{INTN(r22)}-lead({\href{#PRID}{PRID(r22)}}) +\href{#PRID}{PRID(r22)} \]
Equation 82: INTR
For r22 in regions (22 total):
\[ \href{#INTR}{INTR(r22)} = \href{#INTF}{INTF(r22)}+\href{#RISR}{RISR(r22)} \]
Equation 83: INFP
For r22 in regions (22 total):
\[ \href{#INFP}{INFP(r22)} = \href{#PRID}{PRID(r22)}-\href{#PRDL}{PRDL(r22)} \]
Equation 84: PRCL
For r22 in regions (22 total):
\[ lead({\href{#PRCL}{PRCL(r22)}}) = \href{#PRCT}{PRCT(r22)} \]
Equation 85: PRDL
For r22 in regions (22 total):
\[ lead({\href{#PRDL}{PRDL(r22)}}) = \href{#PRID}{PRID(r22)} \]
Equation 86: GDPN
For r22 in regions (22 total):
\[ \href{#GDPN}{GDPN(r22)} = exp{ \left(\href{#PRCT}{PRCT(r22)}\right) } *\href{#CONP}{CONP(r22)} +exp{ \left(\href{#PRGT}{PRGT(r22)}\right) } *\href{#GCET}{GCET(r22)} +exp{ \left(\href{#PRII}{PRII(r22)}\right) } *\href{#INVT}{INVT(r22)} +exp{ \left(\href{#PRID}{PRID(r22)}\right) } *\href{#TBAL}{TBAL(r22)} +\sum_{g9 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(exp{ \left(\href{#PRII}{PRII(r22)}\right) } *\href{#INS}{INS(r22,g9)}\right) } \]
Equation 87: GDPR
For r22 in regions (22 total):
\[ \href{#GDPR}{GDPR(r22)} = \href{#CONP}{CONP(r22)}+\href{#GCET}{GCET(r22)} +\href{#INVT}{INVT(r22)} +\href{#TBAL}{TBAL(r22)} +\sum_{g9 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(\href{#INS}{INS(r22,g9)}\right) } \]
Equation 88: PGDP
For r22 in regions (22 total):
\[ \href{#PGDP}{PGDP(r22)} = ln{ \left(\href{#GDPN}{GDPN(r22)}\right) } -ln{ \left(\href{#GDPR}{GDPR(r22)}\right) } \]
Equation 89: GNPR
For r22 in regions (22 total):
\[ \href{#GNPR}{GNPR(r22)} = \href{#GDPR}{GDPR(r22)} +\frac{\href{#IRAS}{IRAS(r22)}}{exp{ \left(\href{#REXN}{REXN(r22)}\right) }} \]
Equation 90: CURN
For r22 in regions (22 total):
\[ \href{#CURN}{CURN(r22)} = \href{#TBAL}{TBAL(r22)} +\frac{\href{#INAS}{INAS(r22)}}{exp{ \left(\href{#REXN}{REXN(r22)}\right) }} \]
Equation 91: CURR
For r22 in regions (22 total):
\[ \href{#CURR}{CURR(r22)} = \href{#TBAU}{TBAU(r22)}+\href{#IRAS}{IRAS(r22)} \]
Equation 92: WELT
For r22 in regions (22 total):
\[ \href{#WELT}{WELT(r22)} = \href{#BOND}{BOND(r22)} +\frac{\href{#ASSU}{ASSU(r22)}}{exp{ \left(\href{#REXN}{REXN(r22)}\right) }} +\frac{{(\href{#mongdp}{mongdp(r22)} *exp{ \left(\href{#MONE}{MONE(r22)}\right) })}}{exp{ \left(\href{#PRID}{PRID(r22)}\right) }} +\href{#WELH}{WELH(r22)} +\href{#LAMY}{LAMY(r22)}*\href{#CAPY}{CAPY(r22)} +\href{#LAMZ}{LAMZ(r22)}*\href{#CAPZ}{CAPZ(r22)} +\sum_{s \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(\href{#STM}{STM(s,r22)}\right) } \]
Equation 93: WELH
For r22 in regions (22 total):
\[ lead({\href{#WELH}{WELH(r22)}}) = {(1+\href{#RISW}{RISW(r22)}+\href{#RISH}{RISH(r22)} +\href{#INTR}{INTR(r22)} -\href{#labgrow}{labgrow(r22)})} *\href{#WELH}{WELH(r22)} -\href{#TRAN}{TRAN(r22)} +\href{#TAXH}{TAXH(r22)} +\href{#TAXL}{TAXL(r22)} -\frac{{(exp{ \left(\href{#WAGE}{WAGE(r22)}\right) } *{(\href{#IITL}{IITL(r22)}+\href{#CNPL}{CNPL(r22)})} +exp{ \left(\href{#WAGG}{WAGG(r22)}\right) } *\href{#GOVL}{GOVL(r22)} +\sum_{s \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(exp{ \left(\href{#WAG}{WAG(s,r22)}\right) } *\href{#LAB}{LAB(s,r22)}\right) })}}{exp{ \left(\href{#PRID}{PRID(r22)}\right) }} \]
Equation 94: SAVI
For r22 in regions (22 total):
\[ \href{#SAVI}{SAVI(r22)} = \href{#INVT}{INVT(r22)} *exp{ \left( \href{#PRII}{PRII(r22)}-\href{#PRID}{PRID(r22)}\right) } +\frac{\href{#CURR}{CURR(r22)}}{exp{ \left(\href{#REXN}{REXN(r22)}\right) }} +\href{#DEFI}{DEFI(r22)} \]
Equation 95: SAVN
For r22 in regions (22 total):
\[ \href{#SAVN}{SAVN(r22)} = \href{#INVT}{INVT(r22)} *exp{ \left( \href{#PRII}{PRII(r22)}-\href{#PRID}{PRID(r22)}\right) } +\href{#CURN}{CURN(r22)} +\href{#DEFN}{DEFN(r22)} \]
Equation 96: SAVT
For r22 in regions (22 total):
\[ \href{#SAVT}{SAVT(r22)} = \href{#INVT}{INVT(r22)} *exp{ \left( \href{#PRII}{PRII(r22)}-\href{#PRID}{PRID(r22)}\right) } +\href{#CURN}{CURN(r22)} \]
Equation 97: TBAL
For r22 in regions (22 total):
\[ \href{#TBAL}{TBAL(r22)} = \href{#EXQT}{EXQT(r22)}-\href{#IMQT}{IMQT(r22)} \]
Equation 98: TBAU
For r22 in regions (22 total):
\[ \href{#TBAU}{TBAU(r22)} = \href{#TBAL}{TBAL(r22)} *exp{ \left(\href{#REXN}{REXN(r22)}\right) } \]
Equation 99: EXCH
For n2 in notUSA (21 total):
\[ \href{#EXCH}{EXCH(n2)} = \href{#REXN}{REXN(n2)}-\href{#PRID}{PRID(n2)} +\href{#PRID}{PRID(\text{USA})} \]
Equation 100: EXCL
For r22 in regions (22 total):
\[ lead({\href{#EXCL}{EXCL(r22)}}) = \href{#EXCH}{EXCH(r22)} \]
Equation 101: REXC
For r22 in regions (22 total):
\[ lead({\href{#REXC}{REXC(r22)}}) = \href{#REXC}{REXC(r22)}-\href{#INTR}{INTR(r22)} +\href{#INTR}{INTR(\text{USA})} +\href{#EXCR}{EXCR(r22)} \]
Equation 102: REXN
For r22 in regions (22 total):
\[ \href{#REXN}{REXN(r22)} = \href{#REXC}{REXC(r22)} \]
Equation 103: NEER
For d in dest (22 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 104: REER
For d in dest (22 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 105: ABUY
For o1 in owner (22 total):
\[ \href{#ABUY}{ABUY(o1)} = \sum_{a \; \text{in} \; \href{#abroad}{abroad}} { \left(\href{#ainv}{ainv(o1,a)}*\href{#CURR}{CURR(a)}\right) } \]
Equation 106: ASSE
For c in currency, o1 in owner (484 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 107: ASSU
For o1 in owner (22 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 108: EYGR
For r22 in regions (22 total):
\[ \href{#EYGR}{EYGR(r22)} = ln{ \left(lead({\href{#OUTP}{OUTP(r22)}})\right) } -ln{ \left(\href{#OUTP}{OUTP(r22)}\right) } \]
Equation 109: EPRC
For r22 in regions (22 total):
\[ \href{#EPRC}{EPRC(r22)} = lead({\href{#PRCT}{PRCT(r22)}})-\href{#PRCT}{PRCT(r22)} \]
Equation 110: INFL
For r22 in regions (22 total):
\[ \href{#INFL}{INFL(r22)} = \href{#PRCT}{PRCT(r22)}-\href{#PRCL}{PRCL(r22)} \]
Equation 111: PRCOL
For r22 in regions (22 total):
\[ lead({\href{#PRCOL}{PRCOL(r22)}}) = \href{#PRCO}{PRCO(r22)} \]
Equation 112: INFCL
For r22 in regions (22 total):
\[ \href{#INFCL}{INFCL(r22)} = \href{#PRCO}{PRCO(r22)}-\href{#PRCOL}{PRCOL(r22)} \]
Equation 113: GNEN
For r22 in regions (22 total):
\[ \href{#GNEN}{GNEN(r22)} = exp{ \left(\href{#PRCT}{PRCT(r22)}\right) } *\href{#CONP}{CONP(r22)} +exp{ \left(\href{#PRID}{PRID(r22)}\right) } *\href{#GCET}{GCET(r22)} +exp{ \left(\href{#PRII}{PRII(r22)}\right) } *\href{#INVT}{INVT(r22)} +\sum_{g9 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(exp{ \left(\href{#PRII}{PRII(r22)}\right) } *\href{#INS}{INS(r22,g9)}\right) } \]
Equation 114: GNER
For r22 in regions (22 total):
\[ \href{#GNER}{GNER(r22)} = \href{#CONP}{CONP(r22)}+\href{#GCET}{GCET(r22)} +\href{#INVT}{INVT(r22)} +\sum_{g9 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(\href{#INS}{INS(r22,g9)}\right) } \]
Equation 115: PRCTEUR
\[ \href{#PRCTEUR}{PRCTEUR} = \sum_{r22 \; \text{in} \; \href{#regions}{regions}} { \left(\href{#eurowt}{eurowt(r22)}*\href{#PRCT}{PRCT(r22)}\right) } \]
Equation 116: PRCEURL
\[ lead({\href{#PRCEURL}{PRCEURL}}) = \href{#PRCTEUR}{PRCTEUR} \]
Equation 117: PRIDEUR
\[ \href{#PRIDEUR}{PRIDEUR} = \sum_{r22 \; \text{in} \; \href{#regions}{regions}} { \left(\href{#eurowt}{eurowt(r22)}*\href{#PRID}{PRID(r22)}\right) } \]
Equation 118: PRDEURL
\[ lead({\href{#PRDEURL}{PRDEURL}}) = \href{#PRIDEUR}{PRIDEUR} \]
Equation 119: INFPEUR
\[ \href{#INFPEUR}{INFPEUR} = \sum_{r22 \; \text{in} \; \href{#regions}{regions}} { \left(\href{#eurowt}{eurowt(r22)}*\href{#INFP}{INFP(r22)}\right) } \]
Equation 120: INFLEUR
\[ \href{#INFLEUR}{INFLEUR} = \sum_{r22 \; \text{in} \; \href{#regions}{regions}} { \left(\href{#eurowt}{eurowt(r22)}*\href{#INFL}{INFL(r22)}\right) } \]
Equation 121: INFCLEUR
\[ \href{#INFCLEUR}{INFCLEUR} = \sum_{r22 \; \text{in} \; \href{#regions}{regions}} { \left(\href{#eurowt}{eurowt(r22)}*\href{#INFCL}{INFCL(r22)}\right) } \]
Equation 122: EPRCEUR
\[ \href{#EPRCEUR}{EPRCEUR} = lead({\href{#PRCTEUR}{PRCTEUR}})-\href{#PRCTEUR}{PRCTEUR} \]
Equation 123: NGOEUR
\[ \href{#NGOEUR}{NGOEUR} = ln{ \left( \sum_{r22 \; \text{in} \; \href{#regions}{regions}} { \left(\href{#eurowt}{eurowt(r22)} *{(\href{#OUTP}{OUTP(r22)}-\href{#TBAL}{TBAL(r22)})} *exp{ \left(\href{#PRID}{PRID(r22)}\right) }\right) }\right) } \]
Equation 124: OUTPEUR
\[ \href{#OUTPEUR}{OUTPEUR} = \sum_{r22 \; \text{in} \; \href{#regions}{regions}} { \left(\href{#eurowt}{eurowt(r22)}*\href{#OUTP}{OUTP(r22)}\right) } \]
Equation 125: OUTLEUR
\[ lead({\href{#OUTLEUR}{OUTLEUR}}) = \href{#OUTPEUR}{OUTPEUR} \]
Equation 126: GDPNEUR
\[ \href{#GDPNEUR}{GDPNEUR} = \sum_{r22 \; \text{in} \; \href{#regions}{regions}} { \left(\href{#eurowt}{eurowt(r22)}*\href{#GDPN}{GDPN(r22)}\right) } \]
Equation 127: EYGREUR
\[ \href{#EYGREUR}{EYGREUR} = ln{ \left(lead({\href{#OUTPEUR}{OUTPEUR}})\right) } -ln{ \left(\href{#OUTPEUR}{OUTPEUR}\right) } \]
Equation 128: INTN
For n in noteuro (18 total):
\[ \href{#INTN}{INTN(n)} = \href{#mrule_r}{mrule\_r(n)}*\href{#INTL}{INTL(n)} +\href{#mrule_ex}{mrule\_ex(n)} *{(\href{#EXCH}{EXCH(n)}-\href{#EXCL}{EXCL(n)} -\href{#EXCX}{EXCX(n)})} +\href{#mrule_1}{mrule\_1(n)} *{(\href{#INFL}{INFL(n)}-\href{#INFX}{INFX(n)})} +\href{#mrule_2}{mrule\_2(n)} *{(\href{#INFP}{INFP(n)}-\href{#INFX}{INFX(n)})} +\href{#mrule_3}{mrule\_3(n)} *{(\href{#INFCL}{INFCL(n)}-\href{#INFX}{INFX(n)})} +\href{#mrule_4}{mrule\_4(n)} *{(\href{#PRCT}{PRCT(n)}-\href{#PTAR}{PTAR(n)})} +\href{#mrule_5}{mrule\_5(n)} *{(\href{#PRID}{PRID(n)}-\href{#PTAR}{PTAR(n)})} +\href{#mrule_6}{mrule\_6(n)} *{(\href{#WAGE}{WAGE(n)}-\href{#PTAR}{PTAR(n)})} +\href{#mrule_7}{mrule\_7(n)}*0 +\href{#mrule_8}{mrule\_8(n)} *{(ln{ \left(\href{#OUTP}{OUTP(n)}\right) } -ln{ \left(\href{#OUTL}{OUTL(n)}\right) } -\href{#ROGY}{ROGY(n)})} +\href{#mrule_9}{mrule\_9(n)} *{(ln{ \left(\href{#OUTP}{OUTP(n)}\right) } -ln{ \left(\href{#OUTL}{OUTL(n)}\right) } -\href{#ROGY}{ROGY(n)} +\href{#INFP}{INFP(n)} -\href{#INFX}{INFX(n)})} +\href{#mrule_10}{mrule\_10(n)} *{(ln{ \left(\href{#GDPN}{GDPN(n)}\right) }-\href{#ROGY}{ROGY(n)})} +\href{#mrule_11}{mrule\_11(n)} *{(ln{ \left(\href{#OUTP}{OUTP(n)}\right) }+\href{#PRID}{PRID(n)})} +\href{#mrule_12}{mrule\_12(n)} *ln{ \left( {(\href{#OUTP}{OUTP(n)}-\href{#TBAL}{TBAL(n)})} *exp{ \left(\href{#PRID}{PRID(n)}\right) }\right) } +\href{#mrule_13}{mrule\_13(n)} *{(\href{#EPRC}{EPRC(n)}-\href{#INFX}{INFX(n)})} +\href{#mrule_14}{mrule\_14(n)} *{(\href{#EYGR}{EYGR(n)}-\href{#ROGY}{ROGY(n)})} +\href{#mrule_15}{mrule\_15(n)} *{(ln{ \left(\href{#GNEN}{GNEN(n)}\right) }-\href{#ROGY}{ROGY(n)})} +\href{#INTX}{INTX(n)} \]
Equation 129: INTN
For e in euro (4 total):
\[ \href{#INTN}{INTN(e)} = \href{#mrule_r}{mrule\_r(e)}*\href{#INTL}{INTL(e)} +\href{#mrule_ex}{mrule\_ex(e)} *{(\href{#EXCH}{EXCH(e)}-\href{#EXCH}{EXCH(\text{DEU})} -\href{#EXCX}{EXCX(e)})} +\href{#mrule_1}{mrule\_1(e)} *{(\href{#INFLEUR}{INFLEUR}-\href{#INFX}{INFX(e)})} +\href{#mrule_2}{mrule\_2(e)} *{(\href{#INFPEUR}{INFPEUR}-\href{#INFX}{INFX(e)})} +\href{#mrule_3}{mrule\_3(e)} *{(\href{#INFCLEUR}{INFCLEUR}-\href{#INFX}{INFX(e)})} +\href{#mrule_4}{mrule\_4(e)} *{(\href{#PRCTEUR}{PRCTEUR}-\href{#PTAR}{PTAR(e)})} +\href{#mrule_5}{mrule\_5(e)} *{(\href{#PRIDEUR}{PRIDEUR}-\href{#PTAR}{PTAR(e)})} +\href{#mrule_6}{mrule\_6(e)} *{(\href{#WAGE}{WAGE(e)}-\href{#PTAR}{PTAR(e)})} +\href{#mrule_7}{mrule\_7(e)}*0 +\href{#mrule_8}{mrule\_8(e)} *{(ln{ \left(\href{#OUTPEUR}{OUTPEUR}\right) } -ln{ \left(\href{#OUTLEUR}{OUTLEUR}\right) } -\href{#ROGYEUR}{ROGYEUR})} +\href{#mrule_9}{mrule\_9(e)} *{(ln{ \left(\href{#OUTPEUR}{OUTPEUR}\right) } -ln{ \left(\href{#OUTLEUR}{OUTLEUR}\right) } +\href{#INFPEUR}{INFPEUR} -\href{#ROGYEUR}{ROGYEUR} -\href{#INFX}{INFX(e)})} +\href{#mrule_10}{mrule\_10(e)} *{(ln{ \left(\href{#GDPNEUR}{GDPNEUR}\right) } -\href{#ROGYEUR}{ROGYEUR})} +\href{#mrule_11}{mrule\_11(e)} *{(ln{ \left(\href{#OUTPEUR}{OUTPEUR}\right) } +\href{#PRIDEUR}{PRIDEUR})} +\href{#mrule_12}{mrule\_12(e)}*\href{#NGOEUR}{NGOEUR} +\href{#mrule_13}{mrule\_13(e)} *{(\href{#EPRCEUR}{EPRCEUR}-\href{#INFX}{INFX(e)})} +\href{#mrule_14}{mrule\_14(e)} *{(\href{#EYGR}{EYGR(e)}-\href{#ROGYEUR}{ROGYEUR})} +\href{#INTX}{INTX(e)} \]
Equation 130: INTL
For r22 in regions (22 total):
\[ lead({\href{#INTL}{INTL(r22)}}) = \href{#INTN}{INTN(r22)} \]
Equation 131: GCE
For g6 in goods_e, r22 in regions (22 total):
\[ \href{#GCE}{GCE(g6,r22)} = \frac{{(\href{#delta_eG}{delta\_eG(g6,r22)} *\frac{\href{#delta_oG}{delta\_oG(\text{e},r22)}}{{(\href{#delta_oG}{delta\_oG(\text{e},r22)} +\href{#delta_oG}{delta\_oG(\text{m},r22)})}} *\href{#GOVS}{GOVS(r22)} *exp{ \left(\href{#PRGT}{PRGT(r22)}\right) })}}{exp{ \left(\href{#PRY}{PRY(g6,r22)}\right) }} \]
Equation 132: GCE
For g7 in goods_m, r22 in regions (110 total):
\[ \href{#GCE}{GCE(g7,r22)} = \frac{{(\href{#delta_mG}{delta\_mG(g7,r22)} *\frac{\href{#delta_oG}{delta\_oG(\text{m},r22)}}{{(\href{#delta_oG}{delta\_oG(\text{e},r22)} +\href{#delta_oG}{delta\_oG(\text{m},r22)})}} *\href{#GOVS}{GOVS(r22)} *exp{ \left(\href{#PRGT}{PRGT(r22)}\right) })}}{exp{ \left(\href{#PRY}{PRY(g7,r22)}\right) }} \]
Equation 133: GCET
For r22 in regions (22 total):
\[ \href{#GCET}{GCET(r22)} = \frac{\sum_{g9 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(\href{#GCE}{GCE(g9,r22)} *exp{ \left(\href{#PRY}{PRY(g9,r22)}\right) }\right) }}{exp{ \left(\href{#PRGT}{PRGT(r22)}\right) }} \]
Equation 134: GOVT
For r22 in regions (22 total):
\[ \href{#GOVT}{GOVT(r22)} = \href{#GCET}{GCET(r22)} +\href{#GOVL}{GOVL(r22)} *exp{ \left( \href{#WAGG}{WAGG(r22)}-\href{#PRID}{PRID(r22)}\right) } \]
Equation 135: TRAN
For r22 in regions (22 total):
\[ \href{#TRAN}{TRAN(r22)} = \href{#TRANX}{TRANX(r22)} +\href{#transgdp}{transgdp(r22)}*\href{#OUTP}{OUTP(r22)} \]
Equation 136: TXM
For d in dest, g9 in goods_o (132 total):
\[ \href{#TXM}{TXM(g9,d)} = \frac{\sum_{o \; \text{in} \; \href{#orig}{orig}} { \left(\href{#TIM}{TIM(g9,d,o)} *exp{ \left(\href{#PIM}{PIM(g9,d,o)}\right) } *\href{#IMP}{IMP(g9,d,o)}\right) }}{exp{ \left(\href{#PRID}{PRID(d)}\right) }} \]
Equation 137: TAXM
For d in dest (22 total):
\[ \href{#TAXM}{TAXM(d)} = \sum_{g9 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(\href{#TXM}{TXM(g9,d)}\right) } \]
Equation 138: TAXX
For r22 in regions (22 total):
\[ \href{#TAXX}{TAXX(r22)} = \frac{\sum_{g9 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(\href{#TEX}{TEX(g9,r22)} *exp{ \left(\href{#PRS}{PRS(g9,r22)}\right) } *\href{#EXQ}{EXQ(g9,r22)}\right) }}{exp{ \left(\href{#PRID}{PRID(r22)}\right) }} \]
Equation 139: TAXH
For r22 in regions (22 total):
\[ \href{#TAXH}{TAXH(r22)} = \frac{{(\href{#TINC}{TINC(r22)} *{(exp{ \left(\href{#WAGE}{WAGE(r22)}\right) } *\href{#IITL}{IITL(r22)} +exp{ \left(\href{#WAGE}{WAGE(r22)}\right) } *\href{#CNPL}{CNPL(r22)} +exp{ \left(\href{#WAGG}{WAGG(r22)}\right) } *\href{#GOVL}{GOVL(r22)} +\sum_{s \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(exp{ \left(\href{#WAG}{WAG(s,r22)}\right) } *\href{#LAB}{LAB(s,r22)}\right) })} -\href{#TITCH}{TITCH(r22)} *exp{ \left(\href{#PRII}{PRII(r22)}\right) } *\href{#INVZ}{INVZ(r22)})}}{exp{ \left(\href{#PRID}{PRID(r22)}\right) }} \]
Equation 140: TAXC
For r22 in regions (22 total):
\[ \href{#TAXC}{TAXC(r22)} = \href{#TCOR}{TCOR(r22)} *{(\sum_{s \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(\href{#PRF}{PRF(s,r22)}\right) } +\href{#PRFY}{PRFY(r22)})} +\frac{{(\sum_{g4 \; \text{in} \; \href{#goods}{goods}} { \left(\href{#TAX}{TAX(g4,r22)} *exp{ \left(\href{#PRD}{PRD(g4,r22)}\right) } *\href{#OUG}{OUG(g4,r22)}\right) } +\sum_{g9 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(\href{#TAX}{TAX(g9,r22)} *exp{ \left(\href{#PMR}{PMR(g9,r22)}\right) } *\href{#IMQ}{IMQ(g9,r22)}\right) } -\sum_{s \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(\href{#TITC}{TITC(s,r22)} *exp{ \left(\href{#PRII}{PRII(r22)}\right) } *\href{#INV}{INV(s,r22)}\right) } -\sum_{g9 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(\href{#TAX}{TAX(g9,r22)} *exp{ \left(\href{#PRS}{PRS(g9,r22)}\right) } *\href{#EXQ}{EXQ(g9,r22)}\right) })}}{exp{ \left(\href{#PRID}{PRID(r22)}\right) }} \]
Equation 141: BOND
For r22 in regions (22 total):
\[ lead({\href{#BOND}{BOND(r22)}}) = \href{#DEFI}{DEFI(r22)} +\href{#BOND}{BOND(r22)}*{(1-\href{#labgrow}{labgrow(r22)})} \]
Equation 142: TAXL
For r22 in regions (22 total):
\[ \href{#TAXL}{TAXL(r22)} = \href{#INTR}{INTR(r22)}*\href{#BOND}{BOND(r22)} +\href{#TAXS}{TAXS(r22)} \]
Equation 143: TAXT
For r22 in regions (22 total):
\[ \href{#TAXT}{TAXT(r22)} = \href{#TAXC}{TAXC(r22)}+\href{#TAXH}{TAXH(r22)} +\href{#TAXL}{TAXL(r22)} +\href{#TAXM}{TAXM(r22)} +\href{#TAXX}{TAXX(r22)} +\href{#TAXE}{TAXE(r22)} \]
Equation 144: DEFI
For r22 in regions (22 total):
\[ \href{#DEFI}{DEFI(r22)} = \href{#GOVT}{GOVT(r22)}+\href{#TRAN}{TRAN(r22)} -\href{#TAXT}{TAXT(r22)} +\href{#INTR}{INTR(r22)}*\href{#BOND}{BOND(r22)} \]
Equation 145: DEFN
For r22 in regions (22 total):
\[ \href{#DEFN}{DEFN(r22)} = \href{#DEFI}{DEFI(r22)} +{(\href{#INTN}{INTN(r22)}-\href{#INTR}{INTR(r22)})} *\href{#BOND}{BOND(r22)} \]
Equation 146: PRT
For g6 in goods_e, r22 in regions, s in sec_std (132 total):
\[ \href{#PRT}{PRT(s,g6,r22)} = ln{ \left( exp{ \left(\href{#PRS}{PRS(g6,r22)}\right) } *{(1+\href{#TAX}{TAX(g6,r22)})} +\href{#TXGS}{TXGS(s,g6,r22)}\right) } \]
Equation 147: CON
For g6 in goods_e, r22 in regions (22 total):
\[ \href{#CON}{CON(g6,r22)} = \href{#delta_eH}{delta\_eH(g6,r22)}*\href{#CNPE}{CNPE(r22)} *exp{ \left( \href{#PRCE}{PRCE(r22)}-\href{#PRY}{PRY(g6,r22)}\right) } ^\href{#sigma_eH}{sigma\_eH(r22)} \]
Equation 148: CON
For g8 in goods_mc, r22 in regions (88 total):
\[ \href{#CON}{CON(g8,r22)} = \href{#delta_mH}{delta\_mH(g8,r22)}*\href{#CNPO}{CNPO(r22)} *exp{ \left( \href{#PRCO}{PRCO(r22)}-\href{#PRY}{PRY(g8,r22)}\right) } ^\href{#sigma_mH}{sigma\_mH(r22)} \]
Equation 149: EN
For g6 in goods_e, r22 in regions, s in sec_std (132 total):
\[ \href{#EN}{EN(s,g6,r22)} = \href{#delta_e}{delta\_e(r22,s,g6)}*\href{#ENT}{ENT(s,r22)} *exp{ \left( \href{#PRE}{PRE(s,r22)}-\href{#PRT}{PRT(s,g6,r22)}\right) } ^\href{#sigma_e}{sigma\_e(s,r22)} \]
Equation 150: OI
For g7 in goods_m, r22 in regions, s in sec_std (660 total):
\[ \href{#OI}{OI(s,g7,r22)} = \href{#delta_m}{delta\_m(r22,s,g7)}*\href{#OIN}{OIN(s,r22)} *exp{ \left( \href{#POI}{POI(s,r22)}-\href{#PRY}{PRY(g7,r22)}\right) } ^\href{#sigma_m}{sigma\_m(s,r22)} \]
Equation 151: PRE
For r22 in regions, s in sec_std (132 total):
\[ \href{#PRE}{PRE(s,r22)} = \href{#cd_e}{cd\_e(s,r22)} *\sum_{g6 \; \text{in} \; \href{#goods_e}{goods\_e}} { \left(\href{#delta_e}{delta\_e(r22,s,g6)}*\href{#PRT}{PRT(s,g6,r22)}\right) } +\frac{{({(1-\href{#cd_e}{cd\_e(s,r22)})} *ln{ \left( \sum_{g6 \; \text{in} \; \href{#goods_e}{goods\_e}} { \left(\href{#delta_e}{delta\_e(r22,s,g6)} *exp{ \left(\href{#PRT}{PRT(s,g6,r22)}\right) } ^{(1-\href{#sigma_e}{sigma\_e(s,r22)})}\right) }\right) })}}{{(1 -\href{#sigma_e}{sigma\_e(s,r22)}*{(1-\href{#cd_e}{cd\_e(s,r22)})})}} \]
Equation 152: POI
For r22 in regions, s in sec_std (132 total):
\[ \href{#POI}{POI(s,r22)} = \href{#cd_m}{cd\_m(s,r22)} *\sum_{g7 \; \text{in} \; \href{#goods_m}{goods\_m}} { \left(\href{#delta_m}{delta\_m(r22,s,g7)}*\href{#PRY}{PRY(g7,r22)}\right) } +\frac{{({(1-\href{#cd_m}{cd\_m(s,r22)})} *ln{ \left( \sum_{g7 \; \text{in} \; \href{#goods_m}{goods\_m}} { \left(\href{#delta_m}{delta\_m(r22,s,g7)} *exp{ \left(\href{#PRY}{PRY(g7,r22)}\right) } ^{(1-\href{#sigma_m}{sigma\_m(s,r22)})}\right) }\right) })}}{{(1 -\href{#sigma_m}{sigma\_m(s,r22)}*{(1-\href{#cd_m}{cd\_m(s,r22)})})}} \]
Equation 153: PRCE
For r22 in regions (22 total):
\[ \href{#PRCE}{PRCE(r22)} = \href{#cd_eH}{cd\_eH(r22)} *\sum_{g6 \; \text{in} \; \href{#goods_e}{goods\_e}} { \left(\href{#delta_eH}{delta\_eH(g6,r22)}*\href{#PRY}{PRY(g6,r22)}\right) } +\frac{{({(1-\href{#cd_eH}{cd\_eH(r22)})} *ln{ \left( \sum_{g6 \; \text{in} \; \href{#goods_e}{goods\_e}} { \left(\href{#delta_eH}{delta\_eH(g6,r22)} *exp{ \left(\href{#PRY}{PRY(g6,r22)}\right) } ^{(1-\href{#sigma_eH}{sigma\_eH(r22)})}\right) }\right) })}}{{(1 -\href{#sigma_eH}{sigma\_eH(r22)}*{(1-\href{#cd_eH}{cd\_eH(r22)})})}} \]
Equation 154: PRCO
For r22 in regions (22 total):
\[ \href{#PRCO}{PRCO(r22)} = \href{#cd_mH}{cd\_mH(r22)} *\sum_{g7 \; \text{in} \; \href{#goods_m}{goods\_m}} { \left(\href{#delta_mH}{delta\_mH(g7,r22)}*\href{#PRY}{PRY(g7,r22)}\right) } +\frac{{({(1-\href{#cd_mH}{cd\_mH(r22)})} *ln{ \left( \sum_{g7 \; \text{in} \; \href{#goods_m}{goods\_m}} { \left(\href{#delta_mH}{delta\_mH(g7,r22)} *exp{ \left(\href{#PRY}{PRY(g7,r22)}\right) } ^{(1-\href{#sigma_mH}{sigma\_mH(r22)})}\right) }\right) })}}{{(1 -\href{#sigma_mH}{sigma\_mH(r22)}*{(1-\href{#cd_mH}{cd\_mH(r22)})})}} \]
Equation 155: TAXE
For r22 in regions (22 total):
\[ \href{#TAXE}{TAXE(r22)} = \href{#RVGS}{RVGS(r22)} \]