G-Cubed model_2R

Name	Elements	Description
abroad	USA, ROW	used in asset calculations
currency	USA, ROW	currency of assets
dest	USA, ROW	alias for regions
domfor	D, F	domestic vs foreign
factors	K, L, E, M	top tier factors of production
goods	g01, g02	all goods
goods_e	g01	energy goods
goods_m	g02	material goods
goods_o	g01, g02	goods with standard treatment
notUSA	ROW	Rest of the World
orig	USA, ROW	alias for regions
owner	USA, ROW	owner of assets ASSE
region_USA	USA	United States
regions	USA, ROW	countries and regions
sec_std	a01, a02	sectors with standard treatment
sector_YY	YY	industrial capital
sector_ZZ	ZZ	household capital
sectors	a01, a02	sectors other than those producing industrial or household capital
sectors_e	a01	energy
sectors_n	a02	non-energy
time	t0	Obsolete time set
varfac	L, E, M	variable factors

Name	Domain	Description	Units	LHS	RHS
ABUY	owner	new purchases of foreign assets	end,gdp	108	109
ASSE	currency, owner	assets in each currency, including own	sta,usgdp	109	109, 110, 71, 72
ASSU	regions	assets held by region, in US$	end,gdp	110	95
BCT	goods_o, dest, orig	unit border tax adjustment	dollar,exo	none	25, 6
BOND	regions	bonds	gdp,sta	134	134, 135, 137, 138, 69, 95
CAP	sec_std, regions	capital stock	gdp,sta	39	32, 39, 42, 43, 48, 57, 61
CAPY	regions	capital stock of raw capital sector	gdp,sta	40	33, 40, 44, 46, 49, 58, 95
CAPZ	regions	household capital stock	gdp,sta	41	34, 41, 45, 47, 50, 59, 95
CNPE	regions	household demand for energy	end,gdp	74	59, 77
CNPK	regions	household capital services	end,gdp	76	none
CNPL	regions	household demand for labor	end,gdp	73	132, 22, 59, 69, 96
CNPO	regions	household demand for material	end,gdp	75	59, 78
CON	goods_o, regions	household demand for goods	end,gdp	77, 78	2, 3
CONP	regions	national accounts consumption	end,gdp	70	120, 121, 34, 59, 73, 74, 75, 76, 89, 90
CURN	regions	domestic currency current account using nominal interest payments	end,gdp	93	98, 99
CURR	regions	USD current account using real interest payments	end,gdp	94	108, 109, 97
DEFI	regions	fiscal deficit (real interest rates)	end,gdp	137	134, 138, 97
DEFN	regions	fiscal deficit (nominal interest rates)	end,gdp	138	98
DEFX	regions	fiscal deficit shocks (real interest rates)	exo,gdp	none	none
EN	sec_std, goods_e, regions	sector demand for energy goods	end,gdp	111	2
ENT	sec_std, regions	sector demand for energy	end,gdp	15	111, 57
EPRC	regions	expected consumer price inflation rate	end,intertemporal_constant,pct	116	122
EXCH	regions	exchange rate - US$ per unit of region currency	idx,logged,stl	1, 102	103, 106, 122, 5
EXCL	regions	exchange rate - US$ per unit of region currency - lagged	idx,lagged,logged,sta	103	122
EXCR	regions	country risk premium relative to US	exo,pct	none	104
EXCX	regions	exchange rate target percentage change	exo,pct	none	122
EXQ	goods_o, regions	exports, EXP.xx	end,gdp	10	131, 133, 2, 3, 9
EXQT	regions	value of exports at source	end,gdp	9	100
EYGR	regions	expected output growth	end,intertemporal_constant,pct	115	122
GCE	goods_o, regions	government purchases of goods and services	end,gdp	124, 125	126, 2, 3
GCET	regions	national accounts government spending excluding labor	end,gdp	126	120, 121, 127, 89, 90
GDPN	regions	GDP, nominal	end,gdp	89	122, 91
GDPR	regions	GDP, real	end,gdp	90	91, 92
GNEN	regions	GNE, nominal	end,gdp	120	122
GNER	regions	GNE, real	end,gdp	121	none
GNPR	regions	gross national product	end,gdp	92	none
GOVL	regions	labor used by government	exo,gdp	none	127, 132, 22, 69, 96
GOVS	regions	government spending excluding labor	exo,gdp	none	124, 125
GOVT	regions	national accounts government spending including labor	end,gdp	127	137
IIN	goods_o, regions	raw capital sector demand for goods	end,gdp	20, 21	2, 3
IITE	regions	raw capital sector demand for energy	end,gdp	18	20, 58
IITL	regions	raw capital sector demand for labor	end,gdp	17	132, 22, 58, 69, 96
IITO	regions	raw capital sector demand for material	end,gdp	19	21, 58
IMP	goods_o, dest, orig	individual imports, IMP.xy	end,exclude_dest_equals_orig,gdp	6	10, 129, 7
IMPX	goods_o, dest, orig	individual imports shift	exo,gdp	none	6
IMQ	goods_o, regions	DF imports by good, IMQ.xx	end,gdp	4	133, 6, 7, 8
IMQT	regions	value of imports at destination	end,gdp	8	100
INAS	regions	nominal USD net interest payments on foreign assets	end,gdp	72	93
INCM	regions	after tax household income	end,gdp	69	70
INFCL	regions	household materials inflation rate	end,pct	119	122
INFL	regions	consumer price inflation	end,pct	117	122
INFP	regions	output price inflation	end,pct	86	122
INFX	regions	inflation target	exo,pct	none	122
INS	regions, goods_o	shocks to aggregate investment demand	exo,gdp	none	120, 121, 2, 3, 89, 90
INTF	regions	risk free interest rate, short-run, real	end,pct	84	85
INTL	regions	interest rate, short-run, nominal - lagged	lagged,pct,sta	123	122
INTN	regions	interest rate, short (policy), nominal	pct,stl	122	123, 138, 72, 83, 84
INTR	regions	risk adjusted interest rate, short-run, real	end,pct	85	104, 135, 137, 138, 48, 49, 50, 69, 71, 96
INTX	regions	shock to interest rate target	exo,pct	none	122
INV	sec_std, regions	raw investment	end,gdp	42	133, 43, 63
INVP	regions	total investment by standard sectors	end,gdp	63	64
INVT	regions	total investment including by households	end,gdp	64	120, 121, 17, 18, 19, 33, 58, 89, 90, 97, 98, 99
INVY	regions	raw investment of raw capital sector	end,gdp	44	64
INVZ	regions	household investment	end,gdp	45	132, 64
IRAS	regions	real USD net interest payments on foreign assets	end,gdp	71	69, 92, 94
JNV	sec_std, regions	installed investment	end,gdp	43	39, 48
JNVY	regions	installed investment in the raw capital sector	end,gdp	46	40, 44, 49
JNVZ	regions	installed household investment	end,gdp	47	41, 45, 50
LAB	sec_std, regions	sector demand for labor	end,gdp	14	132, 22, 57, 69, 96
LABO	regions	labor demand	end,gdp	22	35
LABX	regions	labor supply	exo,gdp	none	35
LAM	sec_std, regions	marginal value of a unit of capital	cos,intertemporal_constant,pct	48	48, 51, 61
LAMY	regions	marginal value of capital, raw capital sector	cos,pct	49	49, 52, 95
LAMZ	regions	marginal value of a unit of household capital	cos,pct	50	50, 53, 95
LGDPN	regions	GDP, nominal	exo,nomusdbillion	none	none
LGDPR	regions	GDP, real	exo,realusdbillion	none	none
MONE	regions	money demand	end,gdp,logged	83	95
NB02	regions	interest rate, 2-year, nominal	end,pct	none	none
NB05	regions	interest rate, 5-year, nominal	end,pct	none	none
NB10	regions	interest rate, 10-year, nominal	end,pct	none	none
NEER	regions	trade-weighted exchange rate, FC/domestic	end,idx,logged	106	none
OI	sec_std, goods_m, regions	sector demand for material goods	end,gdp	112	3
OIN	sec_std, regions	sector demand for materials	end,gdp	16	112, 57
OUG	goods, regions	domestic supply of goods	end,gdp	12	13, 133, 67
OUP	sectors, regions	domestic production	end,gdp	13	14, 15, 16, 32, 57
OUTL	regions	aggregate output (lagged)	gdp,lagged,sta	68	122
OUTP	regions	aggregate output	ets,gdp	67	115, 122, 128, 68, 83
OUY	goods, regions	composite supply	end,gdp	2, 3	12, 4
PGDP	regions	GDP implicit price deflator	end,idx,logged	91	none
PIM	goods_o, dest, orig	landed price of imports	end,idx,logged	5	129, 25, 6, 7
PMQ	goods_o, regions	import landed price index	end,idx,logged	7	26, 8
PMR	goods_o, regions	price of imports incl tariffs	end,idx,logged	25	133, 23, 4, 6
POI	sec_std, regions	sector price of materials	end,idx,logged	114	112, 16, 30, 57
PRCE	regions	household price of energy	end,idx,logged	80	59, 74, 77, 79
PRCL	regions	aggregate price of consumer goods lagged	idx,lagged,logged,sta	87	117, 35
PRCO	regions	household price of material	end,idx,logged	81	118, 119, 59, 75, 78, 79
PRCOL	regions	household price of material - lagged	idx,lagged,logged,sta	118	119
PRCT	regions	aggregate price of consumer goods	ets,idx,logged	79	116, 117, 120, 122, 34, 35, 59, 70, 73, 74, 75, 76, 87, 89
PRD	goods, regions	post-tax price of goods	end,idx,logged	29	12, 133, 23, 65, 67
PRDL	regions	weighted price of domestic output lag	idx,lagged,logged,sta	88	86
PRDX	regions	shock to weighted price of domestic output	exo,pct	none	none
PRE	sec_std, regions	sector price of energy	end,idx,logged	113	111, 15, 30, 57
PRF	sec_std, regions	short run profits	end,gdp	57	133, 60
PRFT	regions	total economywide profits	end,gdp	60	69
PRFY	regions	profits on raw capital sector	end,gdp	58	133, 60
PRFZ	regions	imputed short run profits on household capital	end,gdp	59	69
PRGT	regions	aggregate price of government goods	end,idx,logged	82	124, 125, 126, 89
PRID	regions	weighted price of domestic output	ets,idx,logged	65	102, 120, 122, 127, 129, 131, 132, 133, 48, 49, 50, 51, 52, 53, 57, 58, 59, 67, 69, 70, 83, 84, 86, 88, 89, 95, 96, 97, 98, 99
PRIE	regions	raw capital sector price of energy	end,idx,logged	27	18, 20, 31, 58
PRII	regions	price paid by producers for raw capital	end,idx,logged	31	120, 132, 133, 17, 18, 19, 33, 48, 49, 50, 51, 52, 53, 57, 58, 59, 89, 97, 98, 99
PRIM	regions	weighted price of imports	end,idx,logged	26	8
PRIX	regions	weighted price of exports	end,idx,logged	66	9
PRK	sec_std, regions	implicit rental price	end,idx,logged	32	30, 48
PRKY	regions	implicit rental price, raw capital sector	end,idx,logged	33	31, 49
PRKZ	regions	implicit rental price, household capital	end,idx,logged	34	50, 76, 79
PROI	regions	raw capital sector price of material	end,idx,logged	28	19, 21, 31, 58
PRP	sectors, regions	pre-tax producer price	end,idx,logged	30	14, 15, 16, 29, 32, 38, 57
PRS	goods, regions	producer price of composite	end,idx,logged	23	11, 12, 131, 133, 24, 4
PRX	goods_o, regions	price of exports at source	end,idx,logged	11	5, 66, 9
PRXX	regions	shock to expected price of consumer goods	exo,pct	none	35
PRY	goods, regions	purchase price of composite	end,idx,logged	24	111, 112, 113, 114, 124, 125, 126, 20, 21, 27, 28, 77, 78, 80, 81, 82
PTAR	regions	price level target	exo,idx,logged	none	122
RB10	regions	interest rate, 10-year, real	end,pct	none	none
REER	regions	effective real exchange rate, FC/domestic	end,idx,logged	107	none
REXC	regions	real exchange rate - US$ per unit of region currency	cos,idx,intertemporal_constant,logged	104	104, 105
REXN	regions	real exchange rate with capital controls	end,idx,logged	105	101, 102, 107, 109, 110, 69, 71, 72, 92, 93, 95, 97
RISE	sec_std, regions	equity risk premium by sector and region	del,exo	none	48
RISH	regions	risk premium for human wealth	del,exo	none	96
RISR	regions	risk premium in the yield curve	del,exo	none	85
RISW	regions	Blanchard probability of death	del,exo	none	70, 96
RISY	regions	risk premium for raw-capital sector capital	del,exo	none	49
RISZ	regions	risk premium for household capital	del,exo	none	50
ROGY	regions	potential output growth target	exo,pct	none	122
SAVI	regions	real domestic saving using real interest rates	end,gdp	97	none
SAVN	regions	real domestic saving using nominal interest rates	end,gdp	98	none
SAVT	regions	domestic non-government saving using nominal interest rates	end,gdp	99	none
SHEF	sec_std, regions	autonomous energy efficiency improvements	exo,pct	none	15, 30
SHEFC	regions	consumption autonomous energy efficiency improvements	exo,pct	none	74, 79
SHK	sec_std, regions	shock to capital efficiency	exo,pct	none	30, 32
SHKC	regions	shock to aggregate consumption	exo,gdp	none	70
SHKI	regions, sec_std	shock to inv equation	exo,gdp	none	42
SHKM	regions	shock to money demand	exo,pct	none	83
SHL	regions, sec_std	shock to labor due to labor-augmenting technical change and/or population growth	exo,pct	none	14, 30
SHLY	regions	shock to raw capital sector labor due to labor-augmenting technical change and/or population growth	exo,pct	none	17, 31
SHLZ	regions	shock to household capital sector labor due to labor-augmenting technical change and/or population growth	exo,pct	none	73, 79
SHY	sectors, regions	shock to total factor productivity	exo,pct	none	14, 15, 16, 30, 32
SHYY	regions	shock to raw capital sector total factor productivity	exo,pct	none	17, 18, 19, 31, 33
SHYZ	regions	shock to household capital sector total factor productivity	exo,pct	none	34, 73, 74, 75, 76, 79
STM	sec_std, regions	stock market value	end,gdp	61	62, 95
STMT	regions	total stock market value	end,gdp	62	none
TAX	goods, regions	sales tax on composite	exo,pct	none	133, 24
TAXC	regions	revenue from sales and company taxes	end,gdp	133	136
TAXH	regions	revenue from taxes on wages	end,gdp	132	136, 96
TAXL	regions	revenue from lump-sum taxes	end,gdp	135	136, 69, 96
TAXM	regions	tariff revenue	end,gdp	130	136
TAXS	regions	exogenous lump sum tax	exo,gdp	none	135
TAXT	regions	total revenue	end,gdp	136	137
TAXX	regions	external tax revenue	end,gdp	131	136
TBAL	regions	trade surplus, domestic currency	end,gdp	100	101, 122, 89, 90, 93
TBAU	regions	trade surplus, USD	end,gdp	101	94
TCOR	regions	tax rate on corporate profits	exo,pct	none	133, 48, 49, 69
TEX	goods, regions	extern tax on composite	exo,pct	none	11, 131
TIM	goods_o, dest, orig	tariff rates	exo,pct	none	129, 25, 6
TINC	regions	tax rate on labor income	exo,pct	none	132, 69
TITC	sec_std, regions	investment tax credit rate	exo,pct	none	133, 48, 51, 61
TITCH	regions	households investment tax credit rate	exo,pct	none	132, 50, 53
TIX	goods_o, dest, orig	iceberg costs	exo,pct	none	25, 6
TOB	sec_std, regions	marginal q, TOB.NC	end,pct	51	42, 54
TOBY	regions	marginal Q, raw capital sector	end,pct	52	46, 55
TOBZ	regions	marginal Q, household capital	end,pct	53	47, 56
TPA	sec_std, regions	partial adjustment q	pct,sta	54	42, 54
TPAY	regions	partial adjustment Q, raw capital sector	pct,sta	55	46, 55
TPAZ	regions	partial adjustment Q, household capital	pct,sta	56	47, 56
TRAN	regions	total transfers	end,gdp	128	137, 69, 96
TRANX	regions	exogenous transfers	exo,gdp	none	128
TXM	goods_o, dest	tariff revenue by good	end,gdp	129	130
WAG	sec_std, regions	nominal sector wage	end,idx,logged	37	132, 14, 30, 38, 57, 69, 96
WAGE	regions	nominal wage	idx,intertemporal_constant,logged,sta	35	122, 132, 17, 31, 35, 36, 37, 58, 59, 69, 73, 79, 96
WAGG	regions	government wage	end,idx,logged	36	127, 132, 69, 96
WAGR	sec_std, regions	real sector wage	end,idx,logged	38	none
WELH	regions	human wealth	cos,gdp,intertemporal_constant	96	95, 96
WELT	regions	total wealth	end,gdp	95	70
WERR	regions	wage inflation expectation errors	exo,pct	none	35
YRATN	regions	GDP ratio, nominal	exo,pct	none	none

Name	Domain	Description
adapt	regions	rate of closure TOB-TPA gap
aeye	currency, owner	identity matrix
ainv	owner, abroad	inverse of I-ashr
ashr	currency, owner	asset split among currencies
base_jk	sec_std, regions	base J/K
base_rate_of_return_on_capital	sec_std, regions	base rate of return used in LAM costate
base_rate_of_return_on_capital_y	regions	base rate of return used in LAMY costate
base_rate_of_return_on_capital_z	regions	base rate of return used in LAMZ costate
cd_df	goods_o, regions	1 if Cobb-Douglas, 0 if CES
cd_e	sec_std, regions	1 if cd, 0 if ces
cd_eH	regions	1 if cd, 0 if ces
cd_eR	regions	1 if cd, 0 if ces
cd_ff	goods_o, dest	1 if cd, 0 if ces
cd_m	sec_std, regions	1 if cd, 0 if ces
cd_mH	regions	1 if cd, 0 if ces
cd_mR	regions	1 if cd, 0 if ces
cd_o	sec_std, regions	1 if cd, 0 if ces
cd_oH	regions	1 if cd, 0 if ces
cd_oR	regions	1 if cd, 0 if ces
delta	sec_std, regions	sector depreciation rate
delta_dom	goods_o, regions	domestic weight in CES function combining domestic and foreign sources
delta_e	regions, sec_std, goods_e	input weights, individ goods
delta_eG	goods_e, regions	gov budget shares on energy goods
delta_eH	goods_e, regions	input weights, individ goods
delta_eR	goods_e, regions	input weights on individual energy goods
delta_ff	goods_o, dest, orig	foreign source weights in FF
delta_m	regions, sec_std, goods_m	input weights, individ goods
delta_mG	goods_m, regions	gov budget shares on materials goods
delta_mH	goods_m, regions	input weights, individ goods
delta_mR	goods_m, regions	input weights on individual materials goods
delta_o	factors, sec_std, regions	input weights, KLEM tier
delta_oG	factors, regions	gov KLEM budget shares
delta_oH	factors, regions	input weights, KLEM tier
delta_oR	factors, regions	input weights, KLEM tier
delta_y	regions	raw capital depreciation rate
delta_z	regions	household capital depreciation rate
eer_weight	dest, orig	trade weights, NEER and REER
fore_c	regions	shr of C driven by foresight
fore_i_y	regions	shr of I driven by foresight in capital sector
fore_i_z	regions	shr of I driven by foresight in household capital
forei	sec_std, regions	shr of I driven by foresight std sector
int_elast	regions	interest elasticity of money demand
labgrow	regions	growth of effective labor
makeinv	goods, sectors, regions	inverse of make table
mongdp	regions	coefficient on MONE in WELT
mpc	regions	marginal propensity to consume
mrule_1	regions	weight on CPI inflation in monetary rule
mrule_10	regions	weight on nominal GDP in monetary rule
mrule_11	regions	weight on nominal gross output in monetary rule
mrule_12	regions	weight on nominal gross output net of trade in monetary rule
mrule_13	regions	weight on expected CPI inflation in monetary rule
mrule_14	regions	weight on expected real output growth in monetary rule
mrule_15	regions	weight on nominal GNE in monetary rule
mrule_2	regions	weight on PPI inflation in monetary rule
mrule_3	regions	weight on Core inflation in monetary rule
mrule_4	regions	weight on CPI level in monetary rule
mrule_5	regions	weight on PPI level in monetary rule
mrule_6	regions	weight on wage in monetary rule
mrule_7	regions	weight on wage growth in monetary rule
mrule_8	regions	weight on real output growth in monetary rule
mrule_9	regions	weight on nominal gross output growth in monetary rule
mrule_ex	regions	weight on exchange rate in monetary rule
mrule_r	regions	weight on lag interest rate in monetary rule
phi	sec_std, regions	adjustment cost parameter std sector
phi_y	regions	adjustment cost parameter capital sector
phi_z	regions	adjustment cost parameter household capital
prid_weight	goods, regions	weights in PRID
prim_weight	goods_o, regions	weights in PRIM
prix_weight	goods_o, regions	weights in PRIX
sigma_df	goods_o, regions	elasticity of substitution between domestic and foreign sources
sigma_e	sec_std, regions	subs elast, E tier
sigma_eH	regions	subs elast, E tier
sigma_eR	regions	subs elast, E tier
sigma_ff	goods_o, dest	subs elast between F sources
sigma_m	sec_std, regions	subs elast, M tier
sigma_mH	regions	subs elast, M tier
sigma_mR	regions	subs elast, M tier
sigma_o	sec_std, regions	subs elast, KLEM tier
sigma_oH	regions	subs elast, KLEM tier
sigma_oR	regions	subs elast, KLEM tier
timepref	regions	time preference rate
transgdp	regions	transfers per unit of GDP
wage_p	regions	exp infl weight in wage equation
wage_q	regions	employment parameter in wage equation

Equation 1: EXCH

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

Equation 2: OUY
For g1 in goods_e, r1 in regions (2 total):

\[ \href{#OUY}{OUY(g1,r1)} = \href{#CON}{CON(g1,r1)}+\href{#IIN}{IIN(g1,r1)} +\href{#INS}{INS(r1,g1)} +\href{#GCE}{GCE(g1,r1)} +\href{#EXQ}{EXQ(g1,r1)} +\sum_{s \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(\href{#EN}{EN(s,g1,r1)}\right) } \]

Equation 3: OUY
For g2 in goods_m, r1 in regions (2 total):

\[ \href{#OUY}{OUY(g2,r1)} = \href{#CON}{CON(g2,r1)}+\href{#IIN}{IIN(g2,r1)} +\href{#INS}{INS(r1,g2)} +\href{#GCE}{GCE(g2,r1)} +\href{#EXQ}{EXQ(g2,r1)} +\sum_{s \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(\href{#OI}{OI(s,g2,r1)}\right) } \]

Equation 4: IMQ
For g3 in goods_o, r1 in regions (4 total):

\[ \href{#IMQ}{IMQ(g3,r1)} = {(1-\href{#delta_dom}{delta\_dom(g3,r1)})} *\href{#OUY}{OUY(g3,r1)} *exp{ \left( \href{#PRS}{PRS(g3,r1)}-\href{#PMR}{PMR(g3,r1)}\right) } ^\href{#sigma_df}{sigma\_df(g3,r1)} \]

Equation 5: PIM
For d in dest, g3 in goods_o, o in orig (8 total):

\[ \href{#PIM}{PIM(g3,d,o)} = \href{#EXCH}{EXCH(o)}+\href{#PRX}{PRX(g3,o)} -\href{#EXCH}{EXCH(d)} \]

Equation 6: IMP
For d in dest, g3 in goods_o, o in orig (8 total):

\[ \href{#IMP}{IMP(g3,d,o)} = \href{#delta_ff}{delta\_ff(g3,d,o)}*\href{#IMQ}{IMQ(g3,d)} *{(\href{#BCT}{BCT(g3,d,o)} +{(1 +\href{#TIM}{TIM(g3,d,o)}+\href{#TIX}{TIX(g3,d,o)})} *exp{ \left( \href{#PIM}{PIM(g3,d,o)}-\href{#PMR}{PMR(g3,d)}\right) })} ^{(-\href{#sigma_ff}{sigma\_ff(g3,d)})} +\href{#IMPX}{IMPX(g3,d,o)} \]

Equation 7: PMQ
For d in dest, g3 in goods_o (4 total):

\[ \href{#PMQ}{PMQ(g3,d)} = ln{ \left( \frac{\sum_{o \; \text{in} \; \href{#orig}{orig}} { \left(\href{#IMP}{IMP(g3,d,o)} *exp{ \left(\href{#PIM}{PIM(g3,d,o)}\right) }\right) }}{\href{#IMQ}{IMQ(g3,d)}}\right) } \]

Equation 8: IMQT
For r1 in regions (2 total):

\[ \href{#IMQT}{IMQT(r1)} = \frac{\sum_{g3 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(exp{ \left(\href{#PMQ}{PMQ(g3,r1)}\right) } *\href{#IMQ}{IMQ(g3,r1)}\right) }}{exp{ \left(\href{#PRIM}{PRIM(r1)}\right) }} \]

Equation 9: EXQT
For r1 in regions (2 total):

\[ \href{#EXQT}{EXQT(r1)} = \frac{\sum_{g3 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(exp{ \left(\href{#PRX}{PRX(g3,r1)}\right) } *\href{#EXQ}{EXQ(g3,r1)}\right) }}{exp{ \left(\href{#PRIX}{PRIX(r1)}\right) }} \]

Equation 10: EXQ
For g3 in goods_o, o in orig (4 total):

\[ \href{#EXQ}{EXQ(g3,o)} = \sum_{d \; \text{in} \; \href{#dest}{dest}} { \left(\href{#IMP}{IMP(g3,d,o)}\right) } \]

Equation 11: PRX
For g3 in goods_o, r1 in regions (4 total):

\[ \href{#PRX}{PRX(g3,r1)} = ln{ \left( {(1+\href{#TEX}{TEX(g3,r1)})} *exp{ \left(\href{#PRS}{PRS(g3,r1)}\right) }\right) } \]

Equation 12: OUG
For g3 in goods_o, r1 in regions (4 total):

\[ \href{#OUG}{OUG(g3,r1)} = \href{#delta_dom}{delta\_dom(g3,r1)}*\href{#OUY}{OUY(g3,r1)} *exp{ \left( \href{#PRS}{PRS(g3,r1)}-\href{#PRD}{PRD(g3,r1)}\right) } ^\href{#sigma_df}{sigma\_df(g3,r1)} \]

Equation 13: OUP
For r1 in regions, s3 in sectors (4 total):

\[ \href{#OUP}{OUP(s3,r1)} = \sum_{g \; \text{in} \; \href{#goods}{goods}} { \left(\href{#makeinv}{makeinv(g,s3,r1)}*\href{#OUG}{OUG(g,r1)}\right) } \]

Equation 14: LAB
For r1 in regions, s in sec_std (4 total):

\[ \href{#LAB}{LAB(s,r1)} = exp{ \left( \href{#SHL}{SHL(r1,s)}+\href{#SHY}{SHY(s,r1)}\right) } ^{(\href{#sigma_o}{sigma\_o(s,r1)}-1)} *\href{#delta_o}{delta\_o(\text{l},s,r1)} *\href{#OUP}{OUP(s,r1)} *exp{ \left( \href{#PRP}{PRP(s,r1)}-\href{#WAG}{WAG(s,r1)}\right) } ^\href{#sigma_o}{sigma\_o(s,r1)} \]

Equation 15: ENT
For r1 in regions, s in sec_std (4 total):

\[ \href{#ENT}{ENT(s,r1)} = exp{ \left( \href{#SHEF}{SHEF(s,r1)}+\href{#SHY}{SHY(s,r1)}\right) } ^{(\href{#sigma_o}{sigma\_o(s,r1)}-1)} *\href{#delta_o}{delta\_o(\text{e},s,r1)} *\href{#OUP}{OUP(s,r1)} *exp{ \left( \href{#PRP}{PRP(s,r1)}-\href{#PRE}{PRE(s,r1)}\right) } ^\href{#sigma_o}{sigma\_o(s,r1)} \]

Equation 16: OIN
For r1 in regions, s in sec_std (4 total):

\[ \href{#OIN}{OIN(s,r1)} = exp{ \left(\href{#SHY}{SHY(s,r1)}\right) } ^{(\href{#sigma_o}{sigma\_o(s,r1)}-1)} *\href{#delta_o}{delta\_o(\text{m},s,r1)} *\href{#OUP}{OUP(s,r1)} *exp{ \left( \href{#PRP}{PRP(s,r1)}-\href{#POI}{POI(s,r1)}\right) } ^\href{#sigma_o}{sigma\_o(s,r1)} \]

Equation 17: IITL
For r1 in regions (2 total):

\[ \href{#IITL}{IITL(r1)} = exp{ \left( \href{#SHLY}{SHLY(r1)}+\href{#SHYY}{SHYY(r1)}\right) } ^{(\href{#sigma_oR}{sigma\_oR(r1)}-1)} *\href{#delta_oR}{delta\_oR(\text{l},r1)} *\href{#INVT}{INVT(r1)} *exp{ \left( \href{#PRII}{PRII(r1)}-\href{#WAGE}{WAGE(r1)}\right) } ^\href{#sigma_oR}{sigma\_oR(r1)} \]

Equation 18: IITE
For r1 in regions (2 total):

\[ \href{#IITE}{IITE(r1)} = exp{ \left(\href{#SHYY}{SHYY(r1)}\right) } ^{(\href{#sigma_oR}{sigma\_oR(r1)}-1)} *\href{#delta_oR}{delta\_oR(\text{e},r1)} *\href{#INVT}{INVT(r1)} *exp{ \left( \href{#PRII}{PRII(r1)}-\href{#PRIE}{PRIE(r1)}\right) } ^\href{#sigma_oR}{sigma\_oR(r1)} \]

Equation 19: IITO
For r1 in regions (2 total):

\[ \href{#IITO}{IITO(r1)} = exp{ \left(\href{#SHYY}{SHYY(r1)}\right) } ^{(\href{#sigma_oR}{sigma\_oR(r1)}-1)} *\href{#delta_oR}{delta\_oR(\text{m},r1)} *\href{#INVT}{INVT(r1)} *exp{ \left( \href{#PRII}{PRII(r1)}-\href{#PROI}{PROI(r1)}\right) } ^\href{#sigma_oR}{sigma\_oR(r1)} \]

Equation 20: IIN
For g1 in goods_e, r1 in regions (2 total):

\[ \href{#IIN}{IIN(g1,r1)} = \href{#delta_eR}{delta\_eR(g1,r1)}*\href{#IITE}{IITE(r1)} *exp{ \left( \href{#PRIE}{PRIE(r1)}-\href{#PRY}{PRY(g1,r1)}\right) } ^\href{#sigma_eR}{sigma\_eR(r1)} \]

Equation 21: IIN
For g2 in goods_m, r1 in regions (2 total):

\[ \href{#IIN}{IIN(g2,r1)} = \href{#delta_mR}{delta\_mR(g2,r1)}*\href{#IITO}{IITO(r1)} *exp{ \left( \href{#PROI}{PROI(r1)}-\href{#PRY}{PRY(g2,r1)}\right) } ^\href{#sigma_mR}{sigma\_mR(r1)} \]

Equation 22: LABO
For r1 in regions (2 total):

\[ \href{#LABO}{LABO(r1)} = \href{#IITL}{IITL(r1)}+\href{#CNPL}{CNPL(r1)} +\href{#GOVL}{GOVL(r1)} +\sum_{s \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(\href{#LAB}{LAB(s,r1)}\right) } \]

Equation 23: PRS
For g3 in goods_o, r1 in regions (4 total):

\[ \href{#PRS}{PRS(g3,r1)} = \href{#cd_df}{cd\_df(g3,r1)} *{(\href{#delta_dom}{delta\_dom(g3,r1)}*\href{#PRD}{PRD(g3,r1)} +{(1-\href{#delta_dom}{delta\_dom(g3,r1)})} *\href{#PMR}{PMR(g3,r1)})} +\frac{{({(1-\href{#cd_df}{cd\_df(g3,r1)})} *ln{ \left( \href{#delta_dom}{delta\_dom(g3,r1)} *exp{ \left(\href{#PRD}{PRD(g3,r1)}\right) } ^{(1-\href{#sigma_df}{sigma\_df(g3,r1)})} +{(1-\href{#delta_dom}{delta\_dom(g3,r1)})} *exp{ \left(\href{#PMR}{PMR(g3,r1)}\right) } ^{(1-\href{#sigma_df}{sigma\_df(g3,r1)})}\right) })}}{{(1 -\href{#sigma_df}{sigma\_df(g3,r1)}*{(1-\href{#cd_df}{cd\_df(g3,r1)})})}} \]

Equation 24: PRY
For g in goods, r1 in regions (4 total):

\[ \href{#PRY}{PRY(g,r1)} = ln{ \left(1+\href{#TAX}{TAX(g,r1)}\right) } +\href{#PRS}{PRS(g,r1)} \]

Equation 25: PMR
For d in dest, g3 in goods_o (4 total):

\[ \href{#PMR}{PMR(g3,d)} = 0.0 +\href{#cd_ff}{cd\_ff(g3,d)} *\sum_{o \; \text{in} \; \href{#orig}{orig}} { \left(\href{#delta_ff}{delta\_ff(g3,d,o)} *ln{ \left( \href{#BCT}{BCT(g3,d,o)} +{(1 +\href{#TIM}{TIM(g3,d,o)}+\href{#TIX}{TIX(g3,d,o)})} *exp{ \left(\href{#PIM}{PIM(g3,d,o)}\right) }\right) }\right) } +\frac{{({(1-\href{#cd_ff}{cd\_ff(g3,d)})} *ln{ \left( \sum_{o \; \text{in} \; \href{#orig}{orig}} { \left(\href{#delta_ff}{delta\_ff(g3,d,o)} *{(\href{#BCT}{BCT(g3,d,o)} +{(1 +\href{#TIM}{TIM(g3,d,o)}+\href{#TIX}{TIX(g3,d,o)})} *exp{ \left(\href{#PIM}{PIM(g3,d,o)}\right) })} ^{(1-\href{#sigma_ff}{sigma\_ff(g3,d)})}\right) }\right) })}}{{(1 -\href{#sigma_ff}{sigma\_ff(g3,d)}*{(1-\href{#cd_ff}{cd\_ff(g3,d)})})}} \]

Equation 26: PRIM
For r1 in regions (2 total):

\[ \href{#PRIM}{PRIM(r1)} = \sum_{g3 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(\href{#prim_weight}{prim\_weight(g3,r1)}*\href{#PMQ}{PMQ(g3,r1)}\right) } \]

Equation 27: PRIE
For r1 in regions (2 total):

\[ \href{#PRIE}{PRIE(r1)} = \href{#cd_eR}{cd\_eR(r1)} *\sum_{g1 \; \text{in} \; \href{#goods_e}{goods\_e}} { \left(\href{#delta_eR}{delta\_eR(g1,r1)}*\href{#PRY}{PRY(g1,r1)}\right) } +\frac{{({(1-\href{#cd_eR}{cd\_eR(r1)})} *ln{ \left( \sum_{g1 \; \text{in} \; \href{#goods_e}{goods\_e}} { \left(\href{#delta_eR}{delta\_eR(g1,r1)} *exp{ \left(\href{#PRY}{PRY(g1,r1)}\right) } ^{(1-\href{#sigma_eR}{sigma\_eR(r1)})}\right) }\right) })}}{{(1 -\href{#sigma_eR}{sigma\_eR(r1)}*{(1-\href{#cd_eR}{cd\_eR(r1)})})}} \]

Equation 28: PROI
For r1 in regions (2 total):

\[ \href{#PROI}{PROI(r1)} = \href{#cd_mR}{cd\_mR(r1)} *\sum_{g2 \; \text{in} \; \href{#goods_m}{goods\_m}} { \left(\href{#delta_mR}{delta\_mR(g2,r1)}*\href{#PRY}{PRY(g2,r1)}\right) } +\frac{{({(1-\href{#cd_mR}{cd\_mR(r1)})} *ln{ \left( \sum_{g2 \; \text{in} \; \href{#goods_m}{goods\_m}} { \left(\href{#delta_mR}{delta\_mR(g2,r1)} *exp{ \left(\href{#PRY}{PRY(g2,r1)}\right) } ^{(1-\href{#sigma_mR}{sigma\_mR(r1)})}\right) }\right) })}}{{(1 -\href{#sigma_mR}{sigma\_mR(r1)}*{(1-\href{#cd_mR}{cd\_mR(r1)})})}} \]

Equation 29: PRD
For g in goods, r1 in regions (4 total):

\[ \href{#PRD}{PRD(g,r1)} = ln{ \left( exp{ \left( \sum_{s3 \; \text{in} \; \href{#sectors}{sectors}} { \left(\href{#makeinv}{makeinv(g,s3,r1)}*\href{#PRP}{PRP(s3,r1)}\right) }\right) }\right) } \]

Equation 30: PRP
For r1 in regions, s in sec_std (4 total):

\[ \href{#PRP}{PRP(s,r1)} = \href{#cd_o}{cd\_o(s,r1)} *{(\href{#delta_o}{delta\_o(\text{k},s,r1)}*\href{#PRK}{PRK(s,r1)} +\href{#delta_o}{delta\_o(\text{l},s,r1)}*\href{#WAG}{WAG(s,r1)} +\href{#delta_o}{delta\_o(\text{e},s,r1)}*\href{#PRE}{PRE(s,r1)} +\href{#delta_o}{delta\_o(\text{m},s,r1)}*\href{#POI}{POI(s,r1)} -\href{#delta_o}{delta\_o(\text{l},s,r1)}*\href{#SHL}{SHL(r1,s)} -\href{#delta_o}{delta\_o(\text{k},s,r1)}*\href{#SHK}{SHK(s,r1)} -\href{#delta_o}{delta\_o(\text{e},s,r1)}*\href{#SHEF}{SHEF(s,r1)})} +\frac{{({(1-\href{#cd_o}{cd\_o(s,r1)})} *ln{ \left( \href{#delta_o}{delta\_o(\text{k},s,r1)} *exp{ \left( \href{#PRK}{PRK(s,r1)}-\href{#SHK}{SHK(s,r1)}\right) } ^{(1-\href{#sigma_o}{sigma\_o(s,r1)})} +\href{#delta_o}{delta\_o(\text{l},s,r1)} *exp{ \left( \href{#WAG}{WAG(s,r1)}-\href{#SHL}{SHL(r1,s)}\right) } ^{(1-\href{#sigma_o}{sigma\_o(s,r1)})} +\href{#delta_o}{delta\_o(\text{e},s,r1)} *exp{ \left( \href{#PRE}{PRE(s,r1)}-\href{#SHEF}{SHEF(s,r1)}\right) } ^{(1-\href{#sigma_o}{sigma\_o(s,r1)})} +\href{#delta_o}{delta\_o(\text{m},s,r1)} *exp{ \left(\href{#POI}{POI(s,r1)}\right) } ^{(1-\href{#sigma_o}{sigma\_o(s,r1)})}\right) })}}{{(1 -\href{#sigma_o}{sigma\_o(s,r1)}*{(1-\href{#cd_o}{cd\_o(s,r1)})})}} -\href{#SHY}{SHY(s,r1)} \]

Equation 31: PRII
For r1 in regions (2 total):

\[ \href{#PRII}{PRII(r1)} = \href{#cd_oR}{cd\_oR(r1)} *{(\href{#delta_oR}{delta\_oR(\text{k},r1)}*\href{#PRKY}{PRKY(r1)} +\href{#delta_oR}{delta\_oR(\text{l},r1)}*\href{#WAGE}{WAGE(r1)} +\href{#delta_oR}{delta\_oR(\text{e},r1)}*\href{#PRIE}{PRIE(r1)} +\href{#delta_oR}{delta\_oR(\text{m},r1)}*\href{#PROI}{PROI(r1)} -\href{#delta_oR}{delta\_oR(\text{l},r1)}*\href{#SHLY}{SHLY(r1)})} +\frac{{({(1-\href{#cd_oR}{cd\_oR(r1)})} *ln{ \left( \href{#delta_oR}{delta\_oR(\text{k},r1)} *exp{ \left(\href{#PRKY}{PRKY(r1)}\right) } ^{(1-\href{#sigma_oR}{sigma\_oR(r1)})} +\href{#delta_oR}{delta\_oR(\text{l},r1)} *exp{ \left( \href{#WAGE}{WAGE(r1)}-\href{#SHLY}{SHLY(r1)}\right) } ^{(1-\href{#sigma_oR}{sigma\_oR(r1)})} +\href{#delta_oR}{delta\_oR(\text{e},r1)} *exp{ \left(\href{#PRIE}{PRIE(r1)}\right) } ^{(1-\href{#sigma_oR}{sigma\_oR(r1)})} +\href{#delta_oR}{delta\_oR(\text{m},r1)} *exp{ \left(\href{#PROI}{PROI(r1)}\right) } ^{(1-\href{#sigma_oR}{sigma\_oR(r1)})}\right) })}}{{(1 -\href{#sigma_oR}{sigma\_oR(r1)}*{(1-\href{#cd_oR}{cd\_oR(r1)})})}} -\href{#SHYY}{SHYY(r1)} \]

Equation 32: PRK
For r1 in regions, s in sec_std (4 total):

\[ \href{#PRK}{PRK(s,r1)} = \href{#PRP}{PRP(s,r1)} +\frac{ln{ \left( \frac{{(\href{#delta_o}{delta\_o(\text{k},s,r1)}*\href{#OUP}{OUP(s,r1)})}}{\href{#CAP}{CAP(s,r1)}}\right) }}{\href{#sigma_o}{sigma\_o(s,r1)}} +\frac{{({(\href{#SHY}{SHY(s,r1)}+\href{#SHK}{SHK(s,r1)})} *{(\href{#sigma_o}{sigma\_o(s,r1)}-1)})}}{\href{#sigma_o}{sigma\_o(s,r1)}} \]

Equation 33: PRKY
For r1 in regions (2 total):

\[ \href{#PRKY}{PRKY(r1)} = \href{#PRII}{PRII(r1)} +\frac{ln{ \left( \frac{{(\href{#delta_oR}{delta\_oR(\text{k},r1)}*\href{#INVT}{INVT(r1)})}}{\href{#CAPY}{CAPY(r1)}}\right) }}{\href{#sigma_oR}{sigma\_oR(r1)}} +\frac{{(\href{#SHYY}{SHYY(r1)}*{(\href{#sigma_oR}{sigma\_oR(r1)}-1)})}}{\href{#sigma_oR}{sigma\_oR(r1)}} \]

Equation 34: PRKZ
For r1 in regions (2 total):

\[ \href{#PRKZ}{PRKZ(r1)} = \href{#PRCT}{PRCT(r1)} +\frac{ln{ \left( \frac{{(\href{#delta_oH}{delta\_oH(\text{k},r1)}*\href{#CONP}{CONP(r1)})}}{\href{#CAPZ}{CAPZ(r1)}}\right) }}{\href{#sigma_oH}{sigma\_oH(r1)}} +\frac{{(\href{#SHYZ}{SHYZ(r1)}*{(\href{#sigma_oH}{sigma\_oH(r1)}-1)})}}{\href{#sigma_oH}{sigma\_oH(r1)}} \]

Equation 35: WAGE
For r1 in regions (2 total):

\[ lead({\href{#WAGE}{WAGE(r1)}}) = \href{#WAGE}{WAGE(r1)} +\href{#wage_p}{wage\_p(r1)} *{(lead({\href{#PRCT}{PRCT(r1)}})-\href{#PRCT}{PRCT(r1)} +\href{#PRXX}{PRXX(r1)})} +{(1-\href{#wage_p}{wage\_p(r1)})} *{(\href{#PRCT}{PRCT(r1)}-\href{#PRCL}{PRCL(r1)})} +\href{#wage_q}{wage\_q(r1)} *{(ln{ \left(\href{#LABO}{LABO(r1)}\right) } -ln{ \left(\href{#LABX}{LABX(r1)}\right) })} +\href{#WERR}{WERR(r1)} \]

Equation 36: WAGG
For r1 in regions (2 total):

\[ \href{#WAGG}{WAGG(r1)} = \href{#WAGE}{WAGE(r1)} \]

Equation 37: WAG
For r1 in regions, s in sec_std (4 total):

\[ \href{#WAG}{WAG(s,r1)} = \href{#WAGE}{WAGE(r1)} \]

Equation 38: WAGR
For r1 in regions, s in sec_std (4 total):

\[ \href{#WAGR}{WAGR(s,r1)} = \href{#WAG}{WAG(s,r1)}-\href{#PRP}{PRP(s,r1)} \]

Equation 39: CAP
For r1 in regions, s in sec_std (4 total):

\[ lead({\href{#CAP}{CAP(s,r1)}}) = \href{#JNV}{JNV(s,r1)} +{(1-\href{#delta}{delta(s,r1)}-\href{#labgrow}{labgrow(r1)})} *\href{#CAP}{CAP(s,r1)} \]

Equation 40: CAPY
For r1 in regions (2 total):

\[ lead({\href{#CAPY}{CAPY(r1)}}) = \href{#JNVY}{JNVY(r1)} +{(1-\href{#delta_y}{delta\_y(r1)}-\href{#labgrow}{labgrow(r1)})} *\href{#CAPY}{CAPY(r1)} \]

Equation 41: CAPZ
For r1 in regions (2 total):

\[ lead({\href{#CAPZ}{CAPZ(r1)}}) = \href{#JNVZ}{JNVZ(r1)} +{(1-\href{#delta_z}{delta\_z(r1)}-\href{#labgrow}{labgrow(r1)})} *\href{#CAPZ}{CAPZ(r1)} \]

Equation 42: INV
For r1 in regions, s in sec_std (4 total):

\[ \href{#INV}{INV(s,r1)} = \frac{{({(1+.5*{(\href{#TOB}{TOB(s,r1)}-1)})}*{(\href{#TOB}{TOB(s,r1)}-1)} *\href{#CAP}{CAP(s,r1)})}}{\href{#phi}{phi(s,r1)}} *\href{#forei}{forei(s,r1)} +\frac{{({(1+.5*{(\href{#TPA}{TPA(s,r1)}-1)})}*{(\href{#TPA}{TPA(s,r1)}-1)} *\href{#CAP}{CAP(s,r1)})}}{\href{#phi}{phi(s,r1)}} *{(1-\href{#forei}{forei(s,r1)})} +\href{#SHKI}{SHKI(r1,s)} \]

Equation 43: JNV
For r1 in regions, s in sec_std (4 total):

\[ \href{#JNV}{JNV(s,r1)} = \frac{{(\href{#INV}{INV(s,r1)} +\frac{\href{#phi}{phi(s,r1)}}{2}*\href{#base_jk}{base\_jk(s,r1)}^2 *\href{#CAP}{CAP(s,r1)})}}{{(1 +\href{#phi}{phi(s,r1)}*\href{#base_jk}{base\_jk(s,r1)})}} \]

Equation 44: INVY
For r1 in regions (2 total):

\[ \href{#INVY}{INVY(r1)} = \href{#JNVY}{JNVY(r1)} *{(1 +\frac{{(\frac{\href{#phi_y}{phi\_y(r1)}}{2}*\href{#JNVY}{JNVY(r1)})}}{\href{#CAPY}{CAPY(r1)}})} \]

Equation 45: INVZ
For r1 in regions (2 total):

\[ \href{#INVZ}{INVZ(r1)} = \href{#JNVZ}{JNVZ(r1)} *{(1 +\frac{{(\frac{\href{#phi_z}{phi\_z(r1)}}{2}*\href{#JNVZ}{JNVZ(r1)})}}{\href{#CAPZ}{CAPZ(r1)}})} \]

Equation 46: JNVY
For r1 in regions (2 total):

\[ \href{#JNVY}{JNVY(r1)} = \frac{{(\href{#CAPY}{CAPY(r1)} *{(\href{#fore_i_y}{fore\_i\_y(r1)}*\href{#TOBY}{TOBY(r1)} +{(1-\href{#fore_i_y}{fore\_i\_y(r1)})}*\href{#TPAY}{TPAY(r1)} -1)})}}{\href{#phi_y}{phi\_y(r1)}} \]

Equation 47: JNVZ
For r1 in regions (2 total):

\[ \href{#JNVZ}{JNVZ(r1)} = \frac{{(\href{#CAPZ}{CAPZ(r1)} *{(\href{#fore_i_z}{fore\_i\_z(r1)}*\href{#TOBZ}{TOBZ(r1)} +{(1-\href{#fore_i_z}{fore\_i\_z(r1)})}*\href{#TPAZ}{TPAZ(r1)} -1)})}}{\href{#phi_z}{phi\_z(r1)}} \]

Equation 48: LAM
For r1 in regions, s in sec_std (4 total):

\[ lead({\href{#LAM}{LAM(s,r1)}}) = {(1+\href{#INTR}{INTR(r1)}+\href{#RISE}{RISE(s,r1)} +\href{#delta}{delta(s,r1)})} *\href{#LAM}{LAM(s,r1)} -{(1-\href{#TCOR}{TCOR(r1)})} *\href{#base_rate_of_return_on_capital}{base\_rate\_of\_return\_on\_capital(s,r1)} *exp{ \left( \href{#PRK}{PRK(s,r1)}-\href{#PRID}{PRID(r1)}\right) } -{(1-\href{#TITC}{TITC(s,r1)})} *exp{ \left( \href{#PRII}{PRII(r1)}-\href{#PRID}{PRID(r1)}\right) } *\frac{\href{#phi}{phi(s,r1)}}{2} *\frac{\href{#JNV}{JNV(s,r1)}}{\href{#CAP}{CAP(s,r1)}} ^2 \]

Equation 49: LAMY
For r1 in regions (2 total):

\[ lead({\href{#LAMY}{LAMY(r1)}}) = {(1+\href{#INTR}{INTR(r1)}+\href{#RISY}{RISY(r1)} +\href{#delta_y}{delta\_y(r1)})} *\href{#LAMY}{LAMY(r1)} -{(1-\href{#TCOR}{TCOR(r1)})} *\href{#base_rate_of_return_on_capital_y}{base\_rate\_of\_return\_on\_capital\_y(r1)} *exp{ \left( \href{#PRKY}{PRKY(r1)}-\href{#PRID}{PRID(r1)}\right) } -exp{ \left( \href{#PRII}{PRII(r1)}-\href{#PRID}{PRID(r1)}\right) } *\frac{\href{#phi_y}{phi\_y(r1)}}{2} *\frac{\href{#JNVY}{JNVY(r1)}}{\href{#CAPY}{CAPY(r1)}} ^2 \]

Equation 50: LAMZ
For r1 in regions (2 total):

\[ lead({\href{#LAMZ}{LAMZ(r1)}}) = {(1+\href{#INTR}{INTR(r1)}+\href{#RISZ}{RISZ(r1)} +\href{#delta_z}{delta\_z(r1)})} *\href{#LAMZ}{LAMZ(r1)} -\href{#base_rate_of_return_on_capital_z}{base\_rate\_of\_return\_on\_capital\_z(r1)} *exp{ \left( \href{#PRKZ}{PRKZ(r1)}-\href{#PRID}{PRID(r1)}\right) } -{(1-\href{#TITCH}{TITCH(r1)})} *exp{ \left( \href{#PRII}{PRII(r1)}-\href{#PRID}{PRID(r1)}\right) } *\frac{\href{#phi_z}{phi\_z(r1)}}{2} *\frac{\href{#JNVZ}{JNVZ(r1)}}{\href{#CAPZ}{CAPZ(r1)}} ^2 \]

Equation 51: TOB
For r1 in regions, s in sec_std (4 total):

\[ \href{#TOB}{TOB(s,r1)} = \frac{{(\href{#LAM}{LAM(s,r1)} *exp{ \left( \href{#PRID}{PRID(r1)}-\href{#PRII}{PRII(r1)}\right) })}}{{(1-\href{#TITC}{TITC(s,r1)})}} \]

Equation 52: TOBY
For r1 in regions (2 total):

\[ \href{#TOBY}{TOBY(r1)} = \href{#LAMY}{LAMY(r1)} *exp{ \left( \href{#PRID}{PRID(r1)}-\href{#PRII}{PRII(r1)}\right) } \]

Equation 53: TOBZ
For r1 in regions (2 total):

\[ \href{#TOBZ}{TOBZ(r1)} = \frac{{(\href{#LAMZ}{LAMZ(r1)} *exp{ \left( \href{#PRID}{PRID(r1)}-\href{#PRII}{PRII(r1)}\right) })}}{{(1-\href{#TITCH}{TITCH(r1)})}} \]

Equation 54: TPA
For r1 in regions, s in sec_std (4 total):

\[ lead({\href{#TPA}{TPA(s,r1)}}) = \href{#TPA}{TPA(s,r1)} +\href{#adapt}{adapt(r1)} *{(\href{#TOB}{TOB(s,r1)}-\href{#TPA}{TPA(s,r1)})} \]

Equation 55: TPAY
For r1 in regions (2 total):

\[ lead({\href{#TPAY}{TPAY(r1)}}) = \href{#TPAY}{TPAY(r1)} +\href{#adapt}{adapt(r1)} *{(\href{#TOBY}{TOBY(r1)}-\href{#TPAY}{TPAY(r1)})} \]

Equation 56: TPAZ
For r1 in regions (2 total):

\[ lead({\href{#TPAZ}{TPAZ(r1)}}) = \href{#TPAZ}{TPAZ(r1)} +\href{#adapt}{adapt(r1)} *{(\href{#TOBZ}{TOBZ(r1)}-\href{#TPAZ}{TPAZ(r1)})} \]

Equation 57: PRF
For r1 in regions, s in sec_std (4 total):

\[ \href{#PRF}{PRF(s,r1)} = \frac{{(\href{#OUP}{OUP(s,r1)} *exp{ \left(\href{#PRP}{PRP(s,r1)}\right) } -\href{#ENT}{ENT(s,r1)} *exp{ \left(\href{#PRE}{PRE(s,r1)}\right) } -\href{#LAB}{LAB(s,r1)} *exp{ \left(\href{#WAG}{WAG(s,r1)}\right) } -\href{#OIN}{OIN(s,r1)} *exp{ \left(\href{#POI}{POI(s,r1)}\right) } -\href{#delta}{delta(s,r1)}*\href{#CAP}{CAP(s,r1)} *exp{ \left(\href{#PRII}{PRII(r1)}\right) })}}{exp{ \left(\href{#PRID}{PRID(r1)}\right) }} \]

Equation 58: PRFY
For r1 in regions (2 total):

\[ \href{#PRFY}{PRFY(r1)} = \frac{{(\href{#INVT}{INVT(r1)} *exp{ \left(\href{#PRII}{PRII(r1)}\right) } -\href{#IITE}{IITE(r1)} *exp{ \left(\href{#PRIE}{PRIE(r1)}\right) } -\href{#IITL}{IITL(r1)} *exp{ \left(\href{#WAGE}{WAGE(r1)}\right) } -\href{#IITO}{IITO(r1)} *exp{ \left(\href{#PROI}{PROI(r1)}\right) } -\href{#delta_y}{delta\_y(r1)}*\href{#CAPY}{CAPY(r1)} *exp{ \left(\href{#PRII}{PRII(r1)}\right) })}}{exp{ \left(\href{#PRID}{PRID(r1)}\right) }} \]

Equation 59: PRFZ
For r1 in regions (2 total):

\[ \href{#PRFZ}{PRFZ(r1)} = \frac{{(\href{#CONP}{CONP(r1)} *exp{ \left(\href{#PRCT}{PRCT(r1)}\right) } -\href{#CNPE}{CNPE(r1)} *exp{ \left(\href{#PRCE}{PRCE(r1)}\right) } -\href{#CNPL}{CNPL(r1)} *exp{ \left(\href{#WAGE}{WAGE(r1)}\right) } -\href{#CNPO}{CNPO(r1)} *exp{ \left(\href{#PRCO}{PRCO(r1)}\right) } -\href{#delta_z}{delta\_z(r1)}*\href{#CAPZ}{CAPZ(r1)} *exp{ \left(\href{#PRII}{PRII(r1)}\right) })}}{exp{ \left(\href{#PRID}{PRID(r1)}\right) }} \]

Equation 60: PRFT
For r1 in regions (2 total):

\[ \href{#PRFT}{PRFT(r1)} = \sum_{s \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(\href{#PRF}{PRF(s,r1)}\right) } +\href{#PRFY}{PRFY(r1)} \]

Equation 61: STM
For r1 in regions, s in sec_std (4 total):

\[ \href{#STM}{STM(s,r1)} = \frac{{(\href{#LAM}{LAM(s,r1)}*\href{#CAP}{CAP(s,r1)})}}{{(1-\href{#TITC}{TITC(s,r1)})}} \]

Equation 62: STMT
For r1 in regions (2 total):

\[ \href{#STMT}{STMT(r1)} = \sum_{s \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(\href{#STM}{STM(s,r1)}\right) } \]

Equation 63: INVP
For r1 in regions (2 total):

\[ \href{#INVP}{INVP(r1)} = \sum_{s \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(\href{#INV}{INV(s,r1)}\right) } \]

Equation 64: INVT
For r1 in regions (2 total):

\[ \href{#INVT}{INVT(r1)} = \href{#INVY}{INVY(r1)}+\href{#INVZ}{INVZ(r1)} +\href{#INVP}{INVP(r1)} \]

Equation 65: PRID
For r1 in regions (2 total):

\[ \href{#PRID}{PRID(r1)} = \sum_{g \; \text{in} \; \href{#goods}{goods}} { \left(\href{#prid_weight}{prid\_weight(g,r1)}*\href{#PRD}{PRD(g,r1)}\right) } \]

Equation 66: PRIX
For r1 in regions (2 total):

\[ \href{#PRIX}{PRIX(r1)} = \sum_{g3 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(\href{#prix_weight}{prix\_weight(g3,r1)}*\href{#PRX}{PRX(g3,r1)}\right) } \]

Equation 67: OUTP
For r1 in regions (2 total):

\[ \href{#OUTP}{OUTP(r1)} = \frac{\sum_{g \; \text{in} \; \href{#goods}{goods}} { \left(exp{ \left(\href{#PRD}{PRD(g,r1)}\right) } *\href{#OUG}{OUG(g,r1)}\right) }}{exp{ \left(\href{#PRID}{PRID(r1)}\right) }} \]

Equation 68: OUTL
For r1 in regions (2 total):

\[ lead({\href{#OUTL}{OUTL(r1)}}) = \href{#OUTP}{OUTP(r1)} \]

Equation 69: INCM
For r1 in regions (2 total):

\[ \href{#INCM}{INCM(r1)} = \href{#TRAN}{TRAN(r1)}-\href{#TAXL}{TAXL(r1)} +\href{#INTR}{INTR(r1)}*\href{#BOND}{BOND(r1)} +\frac{\href{#IRAS}{IRAS(r1)}}{exp{ \left(\href{#REXN}{REXN(r1)}\right) }} +\href{#PRFZ}{PRFZ(r1)} +{(1-\href{#TCOR}{TCOR(r1)})}*\href{#PRFT}{PRFT(r1)} +\frac{{({(1-\href{#TINC}{TINC(r1)})} *{(exp{ \left(\href{#WAGE}{WAGE(r1)}\right) } *{(\href{#IITL}{IITL(r1)}+\href{#CNPL}{CNPL(r1)})} +exp{ \left(\href{#WAGG}{WAGG(r1)}\right) } *\href{#GOVL}{GOVL(r1)} +\sum_{s \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(exp{ \left(\href{#WAG}{WAG(s,r1)}\right) } *\href{#LAB}{LAB(s,r1)}\right) })})}}{exp{ \left(\href{#PRID}{PRID(r1)}\right) }} \]

Equation 70: CONP
For r1 in regions (2 total):

\[ \href{#CONP}{CONP(r1)} = \href{#fore_c}{fore\_c(r1)} *{(\href{#timepref}{timepref(r1)}+\href{#RISW}{RISW(r1)})} *\href{#WELT}{WELT(r1)} *exp{ \left( \href{#PRID}{PRID(r1)}-\href{#PRCT}{PRCT(r1)}\right) } +{(1-\href{#fore_c}{fore\_c(r1)})}*\href{#mpc}{mpc(r1)} *\href{#INCM}{INCM(r1)} *exp{ \left( \href{#PRID}{PRID(r1)}-\href{#PRCT}{PRCT(r1)}\right) } +\href{#SHKC}{SHKC(r1)} \]

Equation 71: IRAS
For o1 in owner (2 total):

\[ \href{#IRAS}{IRAS(o1)} = \sum_{c \; \text{in} \; \href{#currency}{currency}} { \left(\href{#INTR}{INTR(c)} *exp{ \left(\href{#REXN}{REXN(c)}\right) } *\href{#ASSE}{ASSE(c,o1)}\right) } \]

Equation 72: INAS
For o1 in owner (2 total):

\[ \href{#INAS}{INAS(o1)} = \sum_{c \; \text{in} \; \href{#currency}{currency}} { \left(\href{#INTN}{INTN(c)} *exp{ \left(\href{#REXN}{REXN(c)}\right) } *\href{#ASSE}{ASSE(c,o1)}\right) } \]

Equation 73: CNPL
For r1 in regions (2 total):

\[ \href{#CNPL}{CNPL(r1)} = exp{ \left( \href{#SHLZ}{SHLZ(r1)}+\href{#SHYZ}{SHYZ(r1)}\right) } ^{(\href{#sigma_oH}{sigma\_oH(r1)}-1)} *\href{#delta_oH}{delta\_oH(\text{l},r1)} *\href{#CONP}{CONP(r1)} *exp{ \left( \href{#PRCT}{PRCT(r1)}-\href{#WAGE}{WAGE(r1)}\right) } ^\href{#sigma_oH}{sigma\_oH(r1)} \]

Equation 74: CNPE
For r1 in regions (2 total):

\[ \href{#CNPE}{CNPE(r1)} = exp{ \left( \href{#SHEFC}{SHEFC(r1)}+\href{#SHYZ}{SHYZ(r1)}\right) } ^{(\href{#sigma_oH}{sigma\_oH(r1)}-1)} *\href{#delta_oH}{delta\_oH(\text{e},r1)} *\href{#CONP}{CONP(r1)} *exp{ \left( \href{#PRCT}{PRCT(r1)}-\href{#PRCE}{PRCE(r1)}\right) } ^\href{#sigma_oH}{sigma\_oH(r1)} \]

Equation 75: CNPO
For r1 in regions (2 total):

\[ \href{#CNPO}{CNPO(r1)} = exp{ \left(\href{#SHYZ}{SHYZ(r1)}\right) } ^{(\href{#sigma_oH}{sigma\_oH(r1)}-1)} *\href{#delta_oH}{delta\_oH(\text{m},r1)} *\href{#CONP}{CONP(r1)} *exp{ \left( \href{#PRCT}{PRCT(r1)}-\href{#PRCO}{PRCO(r1)}\right) } ^\href{#sigma_oH}{sigma\_oH(r1)} \]

Equation 76: CNPK
For r1 in regions (2 total):

\[ \href{#CNPK}{CNPK(r1)} = exp{ \left(\href{#SHYZ}{SHYZ(r1)}\right) } ^{(\href{#sigma_oH}{sigma\_oH(r1)}-1)} *\href{#delta_oH}{delta\_oH(\text{k},r1)} *\href{#CONP}{CONP(r1)} *exp{ \left( \href{#PRCT}{PRCT(r1)}-\href{#PRKZ}{PRKZ(r1)}\right) } ^\href{#sigma_oH}{sigma\_oH(r1)} \]

Equation 77: CON
For g1 in goods_e, r1 in regions (2 total):

\[ \href{#CON}{CON(g1,r1)} = \href{#delta_eH}{delta\_eH(g1,r1)}*\href{#CNPE}{CNPE(r1)} *exp{ \left( \href{#PRCE}{PRCE(r1)}-\href{#PRY}{PRY(g1,r1)}\right) } ^\href{#sigma_eH}{sigma\_eH(r1)} \]

Equation 78: CON
For g2 in goods_m, r1 in regions (2 total):

\[ \href{#CON}{CON(g2,r1)} = \href{#delta_mH}{delta\_mH(g2,r1)}*\href{#CNPO}{CNPO(r1)} *exp{ \left( \href{#PRCO}{PRCO(r1)}-\href{#PRY}{PRY(g2,r1)}\right) } ^\href{#sigma_mH}{sigma\_mH(r1)} \]

Equation 79: PRCT
For r1 in regions (2 total):

\[ \href{#PRCT}{PRCT(r1)} = \href{#cd_oH}{cd\_oH(r1)} *{(\href{#delta_oH}{delta\_oH(\text{k},r1)}*\href{#PRKZ}{PRKZ(r1)} +\href{#delta_oH}{delta\_oH(\text{l},r1)}*\href{#WAGE}{WAGE(r1)} +\href{#delta_oH}{delta\_oH(\text{e},r1)}*\href{#PRCE}{PRCE(r1)} +\href{#delta_oH}{delta\_oH(\text{m},r1)}*\href{#PRCO}{PRCO(r1)} -\href{#delta_oH}{delta\_oH(\text{l},r1)}*\href{#SHLZ}{SHLZ(r1)} -\href{#delta_oH}{delta\_oH(\text{e},r1)}*\href{#SHEFC}{SHEFC(r1)})} +\frac{{({(1-\href{#cd_oH}{cd\_oH(r1)})} *ln{ \left( \href{#delta_oH}{delta\_oH(\text{k},r1)} *exp{ \left(\href{#PRKZ}{PRKZ(r1)}\right) } ^{(1-\href{#sigma_oH}{sigma\_oH(r1)})} +\href{#delta_oH}{delta\_oH(\text{l},r1)} *exp{ \left( \href{#WAGE}{WAGE(r1)}-\href{#SHLZ}{SHLZ(r1)}\right) } ^{(1-\href{#sigma_oH}{sigma\_oH(r1)})} +\href{#delta_oH}{delta\_oH(\text{e},r1)} *exp{ \left( \href{#PRCE}{PRCE(r1)}-\href{#SHEFC}{SHEFC(r1)}\right) } ^{(1-\href{#sigma_oH}{sigma\_oH(r1)})} +\href{#delta_oH}{delta\_oH(\text{m},r1)} *exp{ \left(\href{#PRCO}{PRCO(r1)}\right) } ^{(1-\href{#sigma_oH}{sigma\_oH(r1)})}\right) })}}{{(1 -\href{#sigma_oH}{sigma\_oH(r1)}*{(1-\href{#cd_oH}{cd\_oH(r1)})})}} -\href{#SHYZ}{SHYZ(r1)} \]

Equation 80: PRCE
For r1 in regions (2 total):

\[ \href{#PRCE}{PRCE(r1)} = \href{#cd_eH}{cd\_eH(r1)} *\sum_{g1 \; \text{in} \; \href{#goods_e}{goods\_e}} { \left(\href{#delta_eH}{delta\_eH(g1,r1)}*\href{#PRY}{PRY(g1,r1)}\right) } +\frac{{({(1-\href{#cd_eH}{cd\_eH(r1)})} *ln{ \left( \sum_{g1 \; \text{in} \; \href{#goods_e}{goods\_e}} { \left(\href{#delta_eH}{delta\_eH(g1,r1)} *exp{ \left(\href{#PRY}{PRY(g1,r1)}\right) } ^{(1-\href{#sigma_eH}{sigma\_eH(r1)})}\right) }\right) })}}{{(1 -\href{#sigma_eH}{sigma\_eH(r1)}*{(1-\href{#cd_eH}{cd\_eH(r1)})})}} \]

Equation 81: PRCO
For r1 in regions (2 total):

\[ \href{#PRCO}{PRCO(r1)} = \href{#cd_mH}{cd\_mH(r1)} *\sum_{g2 \; \text{in} \; \href{#goods_m}{goods\_m}} { \left(\href{#delta_mH}{delta\_mH(g2,r1)}*\href{#PRY}{PRY(g2,r1)}\right) } +\frac{{({(1-\href{#cd_mH}{cd\_mH(r1)})} *ln{ \left( \sum_{g2 \; \text{in} \; \href{#goods_m}{goods\_m}} { \left(\href{#delta_mH}{delta\_mH(g2,r1)} *exp{ \left(\href{#PRY}{PRY(g2,r1)}\right) } ^{(1-\href{#sigma_mH}{sigma\_mH(r1)})}\right) }\right) })}}{{(1 -\href{#sigma_mH}{sigma\_mH(r1)}*{(1-\href{#cd_mH}{cd\_mH(r1)})})}} \]

Equation 82: PRGT
For r1 in regions (2 total):

\[ \href{#PRGT}{PRGT(r1)} = \frac{\href{#delta_oG}{delta\_oG(\text{e},r1)}}{{(\href{#delta_oG}{delta\_oG(\text{e},r1)} +\href{#delta_oG}{delta\_oG(\text{m},r1)})}} *\sum_{g1 \; \text{in} \; \href{#goods_e}{goods\_e}} { \left(\href{#delta_eG}{delta\_eG(g1,r1)}*\href{#PRY}{PRY(g1,r1)}\right) } +\frac{\href{#delta_oG}{delta\_oG(\text{m},r1)}}{{(\href{#delta_oG}{delta\_oG(\text{e},r1)} +\href{#delta_oG}{delta\_oG(\text{m},r1)})}} *\sum_{g2 \; \text{in} \; \href{#goods_m}{goods\_m}} { \left(\href{#delta_mG}{delta\_mG(g2,r1)}*\href{#PRY}{PRY(g2,r1)}\right) } \]

Equation 83: MONE
For r1 in regions (2 total):

\[ \href{#MONE}{MONE(r1)} = \href{#PRID}{PRID(r1)} +ln{ \left(\href{#OUTP}{OUTP(r1)}\right) } +\href{#int_elast}{int\_elast(r1)}*\href{#INTN}{INTN(r1)} +\href{#SHKM}{SHKM(r1)} \]

Equation 84: INTF
For r1 in regions (2 total):

\[ \href{#INTF}{INTF(r1)} = \href{#INTN}{INTN(r1)}-lead({\href{#PRID}{PRID(r1)}}) +\href{#PRID}{PRID(r1)} \]

Equation 85: INTR
For r1 in regions (2 total):

\[ \href{#INTR}{INTR(r1)} = \href{#INTF}{INTF(r1)}+\href{#RISR}{RISR(r1)} \]

Equation 86: INFP
For r1 in regions (2 total):

\[ \href{#INFP}{INFP(r1)} = \href{#PRID}{PRID(r1)}-\href{#PRDL}{PRDL(r1)} \]

Equation 87: PRCL
For r1 in regions (2 total):

\[ lead({\href{#PRCL}{PRCL(r1)}}) = \href{#PRCT}{PRCT(r1)} \]

Equation 88: PRDL
For r1 in regions (2 total):

\[ lead({\href{#PRDL}{PRDL(r1)}}) = \href{#PRID}{PRID(r1)} \]

Equation 89: GDPN
For r1 in regions (2 total):

\[ \href{#GDPN}{GDPN(r1)} = exp{ \left(\href{#PRCT}{PRCT(r1)}\right) } *\href{#CONP}{CONP(r1)} +exp{ \left(\href{#PRGT}{PRGT(r1)}\right) } *\href{#GCET}{GCET(r1)} +exp{ \left(\href{#PRII}{PRII(r1)}\right) } *\href{#INVT}{INVT(r1)} +exp{ \left(\href{#PRID}{PRID(r1)}\right) } *\href{#TBAL}{TBAL(r1)} +\sum_{g3 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(exp{ \left(\href{#PRII}{PRII(r1)}\right) } *\href{#INS}{INS(r1,g3)}\right) } \]

Equation 90: GDPR
For r1 in regions (2 total):

\[ \href{#GDPR}{GDPR(r1)} = \href{#CONP}{CONP(r1)}+\href{#GCET}{GCET(r1)} +\href{#INVT}{INVT(r1)} +\href{#TBAL}{TBAL(r1)} +\sum_{g3 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(\href{#INS}{INS(r1,g3)}\right) } \]

Equation 91: PGDP
For r1 in regions (2 total):

\[ \href{#PGDP}{PGDP(r1)} = ln{ \left(\href{#GDPN}{GDPN(r1)}\right) } -ln{ \left(\href{#GDPR}{GDPR(r1)}\right) } \]

Equation 92: GNPR
For r1 in regions (2 total):

\[ \href{#GNPR}{GNPR(r1)} = \href{#GDPR}{GDPR(r1)} +\frac{\href{#IRAS}{IRAS(r1)}}{exp{ \left(\href{#REXN}{REXN(r1)}\right) }} \]

Equation 93: CURN
For r1 in regions (2 total):

\[ \href{#CURN}{CURN(r1)} = \href{#TBAL}{TBAL(r1)} +\frac{\href{#INAS}{INAS(r1)}}{exp{ \left(\href{#REXN}{REXN(r1)}\right) }} \]

Equation 94: CURR
For r1 in regions (2 total):

\[ \href{#CURR}{CURR(r1)} = \href{#TBAU}{TBAU(r1)}+\href{#IRAS}{IRAS(r1)} \]

Equation 95: WELT
For r1 in regions (2 total):

\[ \href{#WELT}{WELT(r1)} = \href{#BOND}{BOND(r1)} +\frac{\href{#ASSU}{ASSU(r1)}}{exp{ \left(\href{#REXN}{REXN(r1)}\right) }} +\frac{{(\href{#mongdp}{mongdp(r1)} *exp{ \left(\href{#MONE}{MONE(r1)}\right) })}}{exp{ \left(\href{#PRID}{PRID(r1)}\right) }} +\href{#WELH}{WELH(r1)} +\href{#LAMY}{LAMY(r1)}*\href{#CAPY}{CAPY(r1)} +\href{#LAMZ}{LAMZ(r1)}*\href{#CAPZ}{CAPZ(r1)} +\sum_{s \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(\href{#STM}{STM(s,r1)}\right) } \]

Equation 96: WELH
For r1 in regions (2 total):

\[ lead({\href{#WELH}{WELH(r1)}}) = {(1+\href{#RISW}{RISW(r1)}+\href{#RISH}{RISH(r1)} +\href{#INTR}{INTR(r1)} -\href{#labgrow}{labgrow(r1)})} *\href{#WELH}{WELH(r1)} -\href{#TRAN}{TRAN(r1)} +\href{#TAXH}{TAXH(r1)} +\href{#TAXL}{TAXL(r1)} -\frac{{(exp{ \left(\href{#WAGE}{WAGE(r1)}\right) } *{(\href{#IITL}{IITL(r1)}+\href{#CNPL}{CNPL(r1)})} +exp{ \left(\href{#WAGG}{WAGG(r1)}\right) } *\href{#GOVL}{GOVL(r1)} +\sum_{s \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(exp{ \left(\href{#WAG}{WAG(s,r1)}\right) } *\href{#LAB}{LAB(s,r1)}\right) })}}{exp{ \left(\href{#PRID}{PRID(r1)}\right) }} \]

Equation 97: SAVI
For r1 in regions (2 total):

\[ \href{#SAVI}{SAVI(r1)} = \href{#INVT}{INVT(r1)} *exp{ \left( \href{#PRII}{PRII(r1)}-\href{#PRID}{PRID(r1)}\right) } +\frac{\href{#CURR}{CURR(r1)}}{exp{ \left(\href{#REXN}{REXN(r1)}\right) }} +\href{#DEFI}{DEFI(r1)} \]

Equation 98: SAVN
For r1 in regions (2 total):

\[ \href{#SAVN}{SAVN(r1)} = \href{#INVT}{INVT(r1)} *exp{ \left( \href{#PRII}{PRII(r1)}-\href{#PRID}{PRID(r1)}\right) } +\href{#CURN}{CURN(r1)} +\href{#DEFN}{DEFN(r1)} \]

Equation 99: SAVT
For r1 in regions (2 total):

\[ \href{#SAVT}{SAVT(r1)} = \href{#INVT}{INVT(r1)} *exp{ \left( \href{#PRII}{PRII(r1)}-\href{#PRID}{PRID(r1)}\right) } +\href{#CURN}{CURN(r1)} \]

Equation 100: TBAL
For r1 in regions (2 total):

\[ \href{#TBAL}{TBAL(r1)} = \href{#EXQT}{EXQT(r1)}-\href{#IMQT}{IMQT(r1)} \]

Equation 101: TBAU
For r1 in regions (2 total):

\[ \href{#TBAU}{TBAU(r1)} = \href{#TBAL}{TBAL(r1)} *exp{ \left(\href{#REXN}{REXN(r1)}\right) } \]

Equation 102: EXCH

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

Equation 103: EXCL
For r1 in regions (2 total):

\[ lead({\href{#EXCL}{EXCL(r1)}}) = \href{#EXCH}{EXCH(r1)} \]

Equation 104: REXC
For r1 in regions (2 total):

\[ lead({\href{#REXC}{REXC(r1)}}) = \href{#REXC}{REXC(r1)}-\href{#INTR}{INTR(r1)} +\href{#INTR}{INTR(\text{USA})} +\href{#EXCR}{EXCR(r1)} \]

Equation 105: REXN
For r1 in regions (2 total):

\[ \href{#REXN}{REXN(r1)} = \href{#REXC}{REXC(r1)} \]

Equation 106: NEER
For d in dest (2 total):

\[ \href{#NEER}{NEER(d)} = {( -\sum_{o \; \text{in} \; \href{#orig}{orig}} { \left(\href{#eer_weight}{eer\_weight(d,o)} *{(\href{#EXCH}{EXCH(o)}-\href{#EXCH}{EXCH(d)})}\right) })} \]

Equation 107: REER
For d in dest (2 total):

\[ \href{#REER}{REER(d)} = {( -\sum_{o \; \text{in} \; \href{#orig}{orig}} { \left(\href{#eer_weight}{eer\_weight(d,o)} *{(\href{#REXN}{REXN(o)}-\href{#REXN}{REXN(d)})}\right) })} \]

Equation 108: ABUY
For o1 in owner (2 total):

\[ \href{#ABUY}{ABUY(o1)} = \sum_{a \; \text{in} \; \href{#abroad}{abroad}} { \left(\href{#ainv}{ainv(o1,a)}*\href{#CURR}{CURR(a)}\right) } \]

Equation 109: ASSE
For c in currency, o1 in owner (4 total):

\[ lead({\href{#ASSE}{ASSE(c,o1)}}) = \href{#ASSE}{ASSE(c,o1)}*{(1-\href{#labgrow}{labgrow(o1)})} +\frac{{(\href{#ashr}{ashr(c,o1)}*\href{#ABUY}{ABUY(o1)} +\href{#aeye}{aeye(c,o1)} *{(\href{#CURR}{CURR(o1)}-\href{#ABUY}{ABUY(o1)})})}}{exp{ \left(\href{#REXN}{REXN(c)}\right) }} \]

Equation 110: ASSU
For o1 in owner (2 total):

\[ \href{#ASSU}{ASSU(o1)} = \sum_{c \; \text{in} \; \href{#currency}{currency}} { \left(exp{ \left(\href{#REXN}{REXN(c)}\right) } *\href{#ASSE}{ASSE(c,o1)}\right) } \]

Equation 111: EN
For g1 in goods_e, r1 in regions, s in sec_std (4 total):

\[ \href{#EN}{EN(s,g1,r1)} = \href{#delta_e}{delta\_e(r1,s,g1)}*\href{#ENT}{ENT(s,r1)} *exp{ \left( \href{#PRE}{PRE(s,r1)}-\href{#PRY}{PRY(g1,r1)}\right) } ^\href{#sigma_e}{sigma\_e(s,r1)} \]

Equation 112: OI
For g2 in goods_m, r1 in regions, s in sec_std (4 total):

\[ \href{#OI}{OI(s,g2,r1)} = \href{#delta_m}{delta\_m(r1,s,g2)}*\href{#OIN}{OIN(s,r1)} *exp{ \left( \href{#POI}{POI(s,r1)}-\href{#PRY}{PRY(g2,r1)}\right) } ^\href{#sigma_m}{sigma\_m(s,r1)} \]

Equation 113: PRE
For r1 in regions, s in sec_std (4 total):

\[ \href{#PRE}{PRE(s,r1)} = \href{#cd_e}{cd\_e(s,r1)} *\sum_{g1 \; \text{in} \; \href{#goods_e}{goods\_e}} { \left(\href{#delta_e}{delta\_e(r1,s,g1)}*\href{#PRY}{PRY(g1,r1)}\right) } +\frac{{({(1-\href{#cd_e}{cd\_e(s,r1)})} *ln{ \left( \sum_{g1 \; \text{in} \; \href{#goods_e}{goods\_e}} { \left(\href{#delta_e}{delta\_e(r1,s,g1)} *exp{ \left(\href{#PRY}{PRY(g1,r1)}\right) } ^{(1-\href{#sigma_e}{sigma\_e(s,r1)})}\right) }\right) })}}{{(1 -\href{#sigma_e}{sigma\_e(s,r1)}*{(1-\href{#cd_e}{cd\_e(s,r1)})})}} \]

Equation 114: POI
For r1 in regions, s in sec_std (4 total):

\[ \href{#POI}{POI(s,r1)} = \href{#cd_m}{cd\_m(s,r1)} *\sum_{g2 \; \text{in} \; \href{#goods_m}{goods\_m}} { \left(\href{#delta_m}{delta\_m(r1,s,g2)}*\href{#PRY}{PRY(g2,r1)}\right) } +\frac{{({(1-\href{#cd_m}{cd\_m(s,r1)})} *ln{ \left( \sum_{g2 \; \text{in} \; \href{#goods_m}{goods\_m}} { \left(\href{#delta_m}{delta\_m(r1,s,g2)} *exp{ \left(\href{#PRY}{PRY(g2,r1)}\right) } ^{(1-\href{#sigma_m}{sigma\_m(s,r1)})}\right) }\right) })}}{{(1 -\href{#sigma_m}{sigma\_m(s,r1)}*{(1-\href{#cd_m}{cd\_m(s,r1)})})}} \]

Equation 115: EYGR
For r1 in regions (2 total):

\[ \href{#EYGR}{EYGR(r1)} = ln{ \left(lead({\href{#OUTP}{OUTP(r1)}})\right) } -ln{ \left(\href{#OUTP}{OUTP(r1)}\right) } \]

Equation 116: EPRC
For r1 in regions (2 total):

\[ \href{#EPRC}{EPRC(r1)} = lead({\href{#PRCT}{PRCT(r1)}})-\href{#PRCT}{PRCT(r1)} \]

Equation 117: INFL
For r1 in regions (2 total):

\[ \href{#INFL}{INFL(r1)} = \href{#PRCT}{PRCT(r1)}-\href{#PRCL}{PRCL(r1)} \]

Equation 118: PRCOL
For r1 in regions (2 total):

\[ lead({\href{#PRCOL}{PRCOL(r1)}}) = \href{#PRCO}{PRCO(r1)} \]

Equation 119: INFCL
For r1 in regions (2 total):

\[ \href{#INFCL}{INFCL(r1)} = \href{#PRCO}{PRCO(r1)}-\href{#PRCOL}{PRCOL(r1)} \]

Equation 120: GNEN
For r1 in regions (2 total):

\[ \href{#GNEN}{GNEN(r1)} = exp{ \left(\href{#PRCT}{PRCT(r1)}\right) } *\href{#CONP}{CONP(r1)} +exp{ \left(\href{#PRID}{PRID(r1)}\right) } *\href{#GCET}{GCET(r1)} +exp{ \left(\href{#PRII}{PRII(r1)}\right) } *\href{#INVT}{INVT(r1)} +\sum_{g3 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(exp{ \left(\href{#PRII}{PRII(r1)}\right) } *\href{#INS}{INS(r1,g3)}\right) } \]

Equation 121: GNER
For r1 in regions (2 total):

\[ \href{#GNER}{GNER(r1)} = \href{#CONP}{CONP(r1)}+\href{#GCET}{GCET(r1)} +\href{#INVT}{INVT(r1)} +\sum_{g3 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(\href{#INS}{INS(r1,g3)}\right) } \]

Equation 122: INTN
For r1 in regions (2 total):

\[ \href{#INTN}{INTN(r1)} = \href{#mrule_r}{mrule\_r(r1)}*\href{#INTL}{INTL(r1)} +\href{#mrule_ex}{mrule\_ex(r1)} *{(\href{#EXCH}{EXCH(r1)}-\href{#EXCL}{EXCL(r1)} -\href{#EXCX}{EXCX(r1)})} +\href{#mrule_1}{mrule\_1(r1)} *{(\href{#INFL}{INFL(r1)}-\href{#INFX}{INFX(r1)})} +\href{#mrule_2}{mrule\_2(r1)} *{(\href{#INFP}{INFP(r1)}-\href{#INFX}{INFX(r1)})} +\href{#mrule_3}{mrule\_3(r1)} *{(\href{#INFCL}{INFCL(r1)}-\href{#INFX}{INFX(r1)})} +\href{#mrule_4}{mrule\_4(r1)} *{(\href{#PRCT}{PRCT(r1)}-\href{#PTAR}{PTAR(r1)})} +\href{#mrule_5}{mrule\_5(r1)} *{(\href{#PRID}{PRID(r1)}-\href{#PTAR}{PTAR(r1)})} +\href{#mrule_6}{mrule\_6(r1)} *{(\href{#WAGE}{WAGE(r1)}-\href{#PTAR}{PTAR(r1)})} +\href{#mrule_7}{mrule\_7(r1)}*0 +\href{#mrule_8}{mrule\_8(r1)} *{(ln{ \left(\href{#OUTP}{OUTP(r1)}\right) } -ln{ \left(\href{#OUTL}{OUTL(r1)}\right) } -\href{#ROGY}{ROGY(r1)})} +\href{#mrule_9}{mrule\_9(r1)} *{(ln{ \left(\href{#OUTP}{OUTP(r1)}\right) } -ln{ \left(\href{#OUTL}{OUTL(r1)}\right) } -\href{#ROGY}{ROGY(r1)} +\href{#INFP}{INFP(r1)} -\href{#INFX}{INFX(r1)})} +\href{#mrule_10}{mrule\_10(r1)} *{(ln{ \left(\href{#GDPN}{GDPN(r1)}\right) } -\href{#ROGY}{ROGY(r1)})} +\href{#mrule_11}{mrule\_11(r1)} *{(ln{ \left(\href{#OUTP}{OUTP(r1)}\right) } +\href{#PRID}{PRID(r1)})} +\href{#mrule_12}{mrule\_12(r1)} *ln{ \left( {(\href{#OUTP}{OUTP(r1)}-\href{#TBAL}{TBAL(r1)})} *exp{ \left(\href{#PRID}{PRID(r1)}\right) }\right) } +\href{#mrule_13}{mrule\_13(r1)} *{(\href{#EPRC}{EPRC(r1)}-\href{#INFX}{INFX(r1)})} +\href{#mrule_14}{mrule\_14(r1)} *{(\href{#EYGR}{EYGR(r1)}-\href{#ROGY}{ROGY(r1)})} +\href{#mrule_15}{mrule\_15(r1)} *{(ln{ \left(\href{#GNEN}{GNEN(r1)}\right) } -\href{#ROGY}{ROGY(r1)})} +\href{#INTX}{INTX(r1)} \]

Equation 123: INTL
For r1 in regions (2 total):

\[ lead({\href{#INTL}{INTL(r1)}}) = \href{#INTN}{INTN(r1)} \]

Equation 124: GCE
For g1 in goods_e, r1 in regions (2 total):

\[ \href{#GCE}{GCE(g1,r1)} = \frac{{(\href{#delta_eG}{delta\_eG(g1,r1)} *\frac{\href{#delta_oG}{delta\_oG(\text{e},r1)}}{{(\href{#delta_oG}{delta\_oG(\text{e},r1)} +\href{#delta_oG}{delta\_oG(\text{m},r1)})}} *\href{#GOVS}{GOVS(r1)} *exp{ \left(\href{#PRGT}{PRGT(r1)}\right) })}}{exp{ \left(\href{#PRY}{PRY(g1,r1)}\right) }} \]

Equation 125: GCE
For g2 in goods_m, r1 in regions (2 total):

\[ \href{#GCE}{GCE(g2,r1)} = \frac{{(\href{#delta_mG}{delta\_mG(g2,r1)} *\frac{\href{#delta_oG}{delta\_oG(\text{m},r1)}}{{(\href{#delta_oG}{delta\_oG(\text{e},r1)} +\href{#delta_oG}{delta\_oG(\text{m},r1)})}} *\href{#GOVS}{GOVS(r1)} *exp{ \left(\href{#PRGT}{PRGT(r1)}\right) })}}{exp{ \left(\href{#PRY}{PRY(g2,r1)}\right) }} \]

Equation 126: GCET
For r1 in regions (2 total):

\[ \href{#GCET}{GCET(r1)} = \frac{\sum_{g3 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(\href{#GCE}{GCE(g3,r1)} *exp{ \left(\href{#PRY}{PRY(g3,r1)}\right) }\right) }}{exp{ \left(\href{#PRGT}{PRGT(r1)}\right) }} \]

Equation 127: GOVT
For r1 in regions (2 total):

\[ \href{#GOVT}{GOVT(r1)} = \href{#GCET}{GCET(r1)} +\href{#GOVL}{GOVL(r1)} *exp{ \left( \href{#WAGG}{WAGG(r1)}-\href{#PRID}{PRID(r1)}\right) } \]

Equation 128: TRAN
For r1 in regions (2 total):

\[ \href{#TRAN}{TRAN(r1)} = \href{#TRANX}{TRANX(r1)} +\href{#transgdp}{transgdp(r1)}*\href{#OUTP}{OUTP(r1)} \]

Equation 129: TXM
For d in dest, g3 in goods_o (4 total):

\[ \href{#TXM}{TXM(g3,d)} = \frac{\sum_{o \; \text{in} \; \href{#orig}{orig}} { \left(\href{#TIM}{TIM(g3,d,o)} *exp{ \left(\href{#PIM}{PIM(g3,d,o)}\right) } *\href{#IMP}{IMP(g3,d,o)}\right) }}{exp{ \left(\href{#PRID}{PRID(d)}\right) }} \]

Equation 130: TAXM
For d in dest (2 total):

\[ \href{#TAXM}{TAXM(d)} = \sum_{g3 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(\href{#TXM}{TXM(g3,d)}\right) } \]

Equation 131: TAXX
For r1 in regions (2 total):

\[ \href{#TAXX}{TAXX(r1)} = \frac{\sum_{g3 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(\href{#TEX}{TEX(g3,r1)} *exp{ \left(\href{#PRS}{PRS(g3,r1)}\right) } *\href{#EXQ}{EXQ(g3,r1)}\right) }}{exp{ \left(\href{#PRID}{PRID(r1)}\right) }} \]

Equation 132: TAXH
For r1 in regions (2 total):

\[ \href{#TAXH}{TAXH(r1)} = \frac{{(\href{#TINC}{TINC(r1)} *{(exp{ \left(\href{#WAGE}{WAGE(r1)}\right) } *\href{#IITL}{IITL(r1)} +exp{ \left(\href{#WAGE}{WAGE(r1)}\right) } *\href{#CNPL}{CNPL(r1)} +exp{ \left(\href{#WAGG}{WAGG(r1)}\right) } *\href{#GOVL}{GOVL(r1)} +\sum_{s \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(exp{ \left(\href{#WAG}{WAG(s,r1)}\right) } *\href{#LAB}{LAB(s,r1)}\right) })} -\href{#TITCH}{TITCH(r1)} *exp{ \left(\href{#PRII}{PRII(r1)}\right) } *\href{#INVZ}{INVZ(r1)})}}{exp{ \left(\href{#PRID}{PRID(r1)}\right) }} \]

Equation 133: TAXC
For r1 in regions (2 total):

\[ \href{#TAXC}{TAXC(r1)} = \href{#TCOR}{TCOR(r1)} *{(\sum_{s \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(\href{#PRF}{PRF(s,r1)}\right) } +\href{#PRFY}{PRFY(r1)})} +\frac{{(\sum_{g \; \text{in} \; \href{#goods}{goods}} { \left(\href{#TAX}{TAX(g,r1)} *exp{ \left(\href{#PRD}{PRD(g,r1)}\right) } *\href{#OUG}{OUG(g,r1)}\right) } +\sum_{g3 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(\href{#TAX}{TAX(g3,r1)} *exp{ \left(\href{#PMR}{PMR(g3,r1)}\right) } *\href{#IMQ}{IMQ(g3,r1)}\right) } -\sum_{s \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(\href{#TITC}{TITC(s,r1)} *exp{ \left(\href{#PRII}{PRII(r1)}\right) } *\href{#INV}{INV(s,r1)}\right) } -\sum_{g3 \; \text{in} \; \href{#goods_o}{goods\_o}} { \left(\href{#TAX}{TAX(g3,r1)} *exp{ \left(\href{#PRS}{PRS(g3,r1)}\right) } *\href{#EXQ}{EXQ(g3,r1)}\right) })}}{exp{ \left(\href{#PRID}{PRID(r1)}\right) }} \]

Equation 134: BOND
For r1 in regions (2 total):

\[ lead({\href{#BOND}{BOND(r1)}}) = \href{#DEFI}{DEFI(r1)} +\href{#BOND}{BOND(r1)}*{(1-\href{#labgrow}{labgrow(r1)})} \]

Equation 135: TAXL
For r1 in regions (2 total):

\[ \href{#TAXL}{TAXL(r1)} = \href{#INTR}{INTR(r1)}*\href{#BOND}{BOND(r1)} +\href{#TAXS}{TAXS(r1)} \]

Equation 136: TAXT
For r1 in regions (2 total):

\[ \href{#TAXT}{TAXT(r1)} = \href{#TAXC}{TAXC(r1)}+\href{#TAXH}{TAXH(r1)} +\href{#TAXL}{TAXL(r1)} +\href{#TAXM}{TAXM(r1)} +\href{#TAXX}{TAXX(r1)} \]

Equation 137: DEFI
For r1 in regions (2 total):

\[ \href{#DEFI}{DEFI(r1)} = \href{#GOVT}{GOVT(r1)}+\href{#TRAN}{TRAN(r1)} -\href{#TAXT}{TAXT(r1)} +\href{#INTR}{INTR(r1)}*\href{#BOND}{BOND(r1)} \]

Equation 138: DEFN
For r1 in regions (2 total):

\[ \href{#DEFN}{DEFN(r1)} = \href{#DEFI}{DEFI(r1)} +{(\href{#INTN}{INTN(r1)}-\href{#INTR}{INTR(r1)})} *\href{#BOND}{BOND(r1)} \]

G-Cubed model_2R_199