G-Cubed model_2R

Name	Elements	Description
abroad	UU, NN	used in asset calculations
AnnexB	UU	Annex B countries
currency	UU, NN	currency of assets
dest	UU, NN	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	materials
goods_o	g01, g02	goods with standard treatment
last	t9	steady state
notAnnexB	NN	Non Annex B countries
noteuro	UU, NN
notUS	NN	used with REXC equation
oecd	UU	OECD countries
orig	UU, NN	alias for regions
owner	UU, NN	owner of assets ASSE
regions	UU, NN	countries and regions
sec_std	a01, a02	sectors with standard treatment
sectors	a01, a02	ordinary sectors
time	t0, t1, t2, t3, t4, t5, t6, t7, t8, t9	tablo time periods
varfac	L, E, M	variable factors

Name	Domain	Description	Units	LHS	RHS
ABUY	owner	new purchases of foreign assets	end,gdp	159	160
ASSE	currency, owner	assets in each currency, including own	sta,usgdp	160	160, 162, 91, 92
ASSU	regions	assets held by region, in US$	end,gdp	162	128
BCOL	regions	Quads from coal	btu,exo	none	none
BCT	goods_o, dest, orig	unit border tax adjustment	dollar,exo	none	33, 9
BGAS	regions	Quads from gas	btu,exo	none	none
BOIL	regions	Quads from oil	btu,exo	none	none
BOND	regions	bonds	gdp,sta	145	128, 139, 140, 145, 168, 89
CAP	sec_std, regions	capital stock	gdp,sta	49	46, 49
CAPY	regions	raw invt capital stock	gdp,sta	50	47, 50, 59
CAPZ	regions	HH capital stock	gdp,sta	51	48, 51, 60
CNPE	regions	HH demand for E	end,gdp	94	78, 97
CNPK	regions	HH cap services	end,gdp	96	none
CNPL	regions	HH demand for L	end,gdp	93	129, 135, 30, 78, 89
CNPO	regions	HH demand for M	end,gdp	95	78, 98
CON	goods_o, regions	HH demand for goods	end,gdp	97, 98	2, 3
CONP	regions	national accounts C	end,gdp	90	120, 121, 122, 123, 42, 78, 93, 94, 95, 96
CURN	regions	current account, dom currency, using INAS	end,gdp	126	148, 149
CURR	regions	current account, US$, using IRAS	end,gdp	127	147, 159, 160
DEFI	regions	fiscal deficit, using INTR	end,gdp	140	145, 147
DEFN	regions	fiscal deficit, using INTN	end,gdp	139	148
DEFX	regions	fiscal deficit, using INTR (exog)	exo,gdp	none	none
ECOL	regions	CO2 emissions from coal	exo,mmt	none	none
EGAS	regions	CO2 emissions from gas	exo,mmt	none	none
EN	sec_std, goods_e, regions	sector demand for E goods	end,gdp	163	2
ENT	sec_std, regions	sector demand for E	end,gdp	20	163, 76
EOIL	regions	CO2 emissions from oil	exo,mmt	none	none
EPRC	regions	expected PRCT inflation rate	end,pct	106	109
EXCH	regions	exch rate as US$ per unit of region currency	pct,stl	1, 152	109, 153, 157, 8
EXCL	regions	exch rate as US$ per unit of region currency - lagged	pct,sta	153	109
EXCR	regions	country risk premium relative to US	exo,pct	none	154
EXCX	regions	exch rate target	exo,pct	none	109
EXQ	goods_o, regions	exports, EXP.xx	end,gdp	13	12, 133, 167, 2, 3
EXQT	regions	value of exports at source	end,gdp	12	150, 151
EYGR	regions	expected output growth	end,pct	105	109
GCE	goods_o, regions	government purchases of goods&serv	end,gdp	142, 143	141, 2, 3
GCET	regions	national accounts G except gov labor	end,gdp	141	120, 121, 122, 123, 138
GDPN	regions	GDP, nominal	end,gdp	120	109, 124
GDPR	regions	GDP, real	end,gdp	121	124, 125
GNEN	regions	GNE, nominal	end,gdp	122	109
GNER	regions	GNE, real	end,gdp	123	none
GNPR	regions	GNP, GDPR plus PBAL and interest	end,gdp	125	none
GOVL	regions	labor used by gov	exo,gdp	none	129, 135, 138, 30, 89
GOVS	regions	total gov spending	exo,gdp	none	142, 143
GOVT	regions	national accounts G including labor	end,gdp	138	139, 140
IIN	goods_o, regions	R demand for goods	end,gdp	28, 29	2, 3
IITE	regions	R demand for E	end,gdp	26	28, 77
IITL	regions	R demand for L	end,gdp	25	129, 135, 30, 77, 89
IITO	regions	R demand for M	end,gdp	27	29, 77
IMDOM	goods_o, regions	pref shift dom and imp goods	exo,gdp	none	none
IMP	goods_o, dest, orig	individual imports, IMP.xy	end,gdp	9	10, 13, 131
IMPX	goods_o, dest, orig	individual imports shift	exo,gdp	none	9
IMQ	goods_o, regions	DF imports by good, IMQ.xx	end,gdp	7	10, 11, 167, 9
IMQT	regions	value of imports at dest	end,gdp	11	150, 151
INAS	regions	net int pmts on for assets using INTN (USD)	end,gdp	92	126
INCM	regions	after tax household income	end,gdp	89	90
INFCL	regions	inflation rate in PRCO (core)	del,end	115	109
INFL	regions	inflation rate in PRCT	del,end	114	109
INFP	regions	inflation rate in PRID	del,end	116	103, 109
INFX	regions	inflation target	del,exo	none	109
INPL	regions	desired interest rate, short-run, (lagged)	del,sta	108	109
INPN	regions	desired interest rate, short-run, nominal	del,stl	109	108, 110
INS	regions, goods_o	agg I demand shocks	exo,gdp	none	120, 121, 122, 123, 2, 3
INTF	regions	risk free interest rate, short-run, real	del,end	111	112
INTL	regions	interest rate, short-run, nominal (lagged)	del,sta	107	110
INTN	regions	interest rate, short (policy), nominal	del,stl	110	102, 107, 110, 111, 139, 92
INTR	regions	risk adjusted interest rate, short-run, real	del,end	112	129, 140, 154, 168, 61, 63, 65, 89, 91
INTX	regions	interest rate target	del,exo	none	110
INV	sec_std, regions	raw investment	end,gdp	55	167, 56, 76, 82
INVT	regions	total cap goods demanded	end,gdp	82	120, 121, 122, 123, 147, 148, 149, 25, 26, 27, 41, 77
INVY	regions	raw investment	end,gdp	57	77, 82
INVZ	regions	HH investment	end,gdp	58	135, 78, 82
IRAS	regions	net int pmts on for assets using INTR (USD)	end,gdp	91	125, 127, 89
JNV	sec_std, regions	installed investment	end,gdp	56	49, 61
JNVY	regions	installed RR investment	end,gdp	59	50, 57, 63
JNVZ	regions	installed HH investment	end,gdp	60	51, 58, 65
LAB	sec_std, regions	sector demand for L	end,gdp	19	129, 135, 30, 76, 89
LABO	regions	total labor demanded	end,gdp	30	43
LABX	regions	total labor supply	exo,gdp	none	none
LAM	sec_std, regions	costate var lambda	cos,del	61	61, 67, 80
LAMY	regions	costate var RR lambda	cos,del	63	128, 63, 68
LAMZ	regions	costate var HH lambda	cos,del	65	128, 65, 69
LGDPN	regions	GDP, nominal	dollar,exo	none	none
LGDPP	regions	GDP, PPP	dollar,exo	none	none
LGDPR	regions	GDP, real	dollar,exo	none	none
LGYL	regions	ln of output (lagged)	pct,sta	87	88
LGYX	regions	ln of output target	exo,pct	none	none
lnCAP	sec_std, regions	log capital stock	end,pct	46	40, 55, 56, 61, 80
lnCAPY	regions	log raw invt capital stock	end,pct	47	128, 41, 57, 63
lnCAPZ	regions	LogHH capital stock	end,pct	48	128, 42, 58, 65
lnENT	sec_std, regions	log sector demand for E	end,pct	23	20
lnIMQ	goods_o, regions	log DF imports by good, IMQ.xx	end,pct	6	7
lnLAB	sec_std, regions	log sector demand for L	end,pct	22	19
lnOIN	sec_std, regions	log sector demand for M	end,pct	24	21
lnOUG	goods, regions	log domestic supply of goods	end,pct	15	16
lnOUP	sectors, regions	log domestic production	end,pct	18	22, 23, 24, 40
lnOUY	goods, regions	logcomposite supply	end,pct	4, 5	15, 6
LOGY	regions	ln of output	ets,pct	86	102, 104, 105, 109, 87, 88
MONE	regions	money demanded IN LOGS	end,pct	102	128
MONL	regions	money demanded as %GDP	end,gdp	none	none
MONX	regions	money target IN LOGS	exo,pct	none	none
NB02	regions	interest rate, 2-year, nominal	del,end	none	none
NB05	regions	interest rate, 5-year, nominal	del,end	none	none
NB10	regions	interest rate, 10-year, nominal	del,end	none	none
NEER	regions	trade-weighted exch rate, FC/domestic	end,pct	157	none
NGONOT	regions	log of Nominal gross output net of Trade	end,pct	104	109
NGRO	regions	nominal output growth	end,pct	103	109
OI	sec_std, goods_m, regions	sector demand for M goods	end,gdp	164	3
OIN	sec_std, regions	sector demand for M	end,gdp	21	164, 76
OUG	goods, regions	domestic supply of goods	end,gdp	16	167, 17, 85
OUP	sectors, regions	domestic production	end,gdp	17	18, 76
OUTP	regions	agg output Q index to match PRID	end,gdp	85	136, 86
OUY	goods, regions	composite supply	end,gdp	2, 3	4, 5
PBAG	regions	value of permits sold through govt USD	exo,gdp	none	145
PBAL	regions	value of permits sold, USD	exo,gdp	none	125, 126, 127
PGDP	regions	GDP, implicit price deflator GDPN/GDPR	end,pct	124	none
PIM	goods_o, dest, orig	landed price of IMP	end,pct	8	10, 131, 33, 9
PMQ	goods_o, regions	landed price index for IMQ	end,pct	10	11, 34
PMR	goods_o, regions	price of imports incl tariffs	end,pct	33	167, 31, 6, 9
POI	sec_std, regions	sector price of M	end,pct	166	164, 24, 38, 76
PRCE	regions	HH price of E	end,pct	100	78, 94, 97, 99
PRCL	regions	aggregate price of consumer goods lag	pct,sta	117	114, 43
PRCO	regions	HH price of M	ets,pct	101	115, 118, 78, 95, 98, 99
PRCOL	regions	HH price of M lag	pct,sta	118	115
PRCT	regions	aggregate price of consumer goods	ets,pct	99	106, 109, 114, 117, 120, 122, 42, 43, 78, 90, 93, 94, 95, 96
PRD	goods, regions	posttax price of goods	end,pct	37	15, 167, 31, 83, 85
PRDL	regions	weighted price of domestic output lag	pct,sta	119	116
PRDX	regions	weighted price of domestic output	exo,pct	none	none
PRE	sec_std, regions	sector price of E	end,pct	165	163, 23, 38, 76
PRF	sec_std, regions	short run profits	end,gdp	76	167, 79
PRFT	regions	Total economywide profits	end,gdp	79	89
PRFY	regions	profits on R capital	end,gdp	77	167, 79
PRFZ	regions	imputed short run profits on HH cap	end,gdp	78	89
PRGT	regions	aggregate price of government goods	end,pct	144	none
PRID	regions	weighted price of domestic output	ets,pct	83	102, 104, 109, 111, 116, 119, 120, 122, 128, 129, 131, 133, 135, 138, 141, 142, 143, 147, 148, 149, 152, 167, 61, 63, 65, 67, 68, 69, 76, 77, 78, 85, 89, 90
PRIE	regions	R price of E	end,pct	35	26, 28, 39, 77
PRII	regions	prod price of inv goods	end,pct	39	120, 122, 135, 147, 148, 149, 167, 25, 26, 27, 41, 61, 63, 65, 67, 68, 69, 76, 77, 78
PRIM	regions	weighted price of imports	end,pct	34	11
PRIX	regions	weighted price of exports	end,pct	84	12
PRK	sec_std, regions	implicit rental price	end,pct	40	38, 61
PRKY	regions	implicit RR rental price	end,pct	41	39, 63
PRKZ	regions	implicit HH rental price	end,pct	42	65, 96, 99
PROI	regions	R price of M	end,pct	36	27, 29, 39, 77
PRP	sectors, regions	pre-tax producer price	end,pct	38	22, 23, 24, 37, 40, 76
PRS	goods, regions	producer price of composite	end,pct	31	133, 14, 15, 167, 32, 6
PRX	goods_o, regions	price of exports at source	end,pct	14	12, 8, 84
PRXX	regions	price of consumer goods expected shock	exo,pct	none	43
PRY	goods, regions	purchase price of composite	end,pct	32	100, 101, 141, 142, 143, 144, 163, 164, 165, 166, 28, 29, 35, 36, 97, 98
PTAR	regions	price level target	exo,pct	none	109
RB10	regions	interest rate, 10-year, real	del,end	none	none
REER	regions	trade-weighted real exch rate, FC/domestic	end,pct	158	none
REXC	regions	real exch rate as US$ per unit of regions currency	cos,pct	154	154, 155
REXN	regions	real exchange rate with capital controls	end,pct	155	125, 126, 128, 147, 151, 152, 158, 160, 162, 89, 91, 92
RISE	sec_std, regions	equity risk premium by sector by region	del,exo	none	61
RISH	regions	risk premium shock for human wealth	del,exo	none	129
RISR	regions	risk premium in the yield curve	del,exo	none	112
RISW	regions	risk premium for human wealth	del,exo	none	129, 90
RISY	regions	risk premium for R capital	del,exo	none	63
RISZ	regions	risk premium for HH capital	del,exo	none	65
ROGY	regions	potential output growth target	exo,pct	none	109
SAVI	regions	domestic saving, real	end,gdp	147	none
SAVN	regions	domestic saving, nominal	end,gdp	148	none
SAVT	regions	domestic non-governmen saving, nominal	end,gdp	149	none
SHEF	sec_std, regions	aeei shock	exo,pct	none	23, 38
SHEFC	regions	aeei shock - consumption	exo,pct	none	94, 99
SHK	sec_std, regions	capital efficiency shock	exo,pct	none	38, 40
SHKC	regions	agg con shock	exo,gdp	none	90
SHKI	regions, sec_std	shock in inv equation	exo,gdp	none	55
SHKM	regions	shock to money demand	exo,pct	none	102
SHL	regions, sec_std	labor shock	exo,pct	none	22, 38
SHLY	regions	labor shock, R	exo,pct	none	25, 39
SHLZ	regions	labor shock, HH	exo,pct	none	93, 99
SHY	sectors, regions	tfp shock	exo,pct	none	22, 23, 24, 38, 40
SHYY	regions	tfp shock, R	exo,pct	none	25, 26, 27, 39, 41
SHYZ	regions	tfp shock, HH	exo,pct	none	42, 93, 94, 95, 96, 99
STM	sec_std, regions	stock market value	end,gdp	80	128, 81
STMT	regions	Total stock market value	end,gdp	81	none
TAX	goods, regions	sales tax on composite	exo,pct	none	167, 32
TAXC	regions	revenue from sales & corp taxes	end,gdp	167	134
TAXE	regions	revenue from externality taxes	exo,gdp	none	134
TAXH	regions	revenue from taxes on wages	end,gdp	135	129, 134
TAXL	regions	revenue for bond interest plus TAXS	end,gdp	168	129, 134, 89
TAXM	regions	tariff revenue	end,gdp	132	134
TAXS	regions	exogenous lump sum tax	exo,gdp	none	none
TAXT	regions	total revenue	end,gdp	134	139, 140
TAXX	regions	extern tax revenue	end,gdp	133	134
TBAL	regions	trade surplus, domestic currency	end,gdp	150	104, 120, 121, 126
TBAU	regions	trade surplus, USD	end,gdp	151	127
TBFD	regions	unit tax on energy	dollar,exo	none	37
TBFI	regions	unit tax on energy, imports	dollar,exo	none	33, 9
TBFX	regions	unit tax on energy, exports	dollar,exo	none	14
TCOR	regions	tax rate on corporate profits	exo,pct	none	167, 61, 63, 89
TCP	goods, regions	nonlinear unit tax shock for CO2	dollar,exo	none	14, 33, 37, 9
TEX	goods, regions	extern tax on composite	exo,pct	none	133, 14
TIF	goods_o, dest	fta tariff rates	exo,pct	none	131, 33, 9
TIM	goods_o, dest, orig	multilateral tariff rates	exo,pct	none	131, 33, 9
TINC	regions	tax rate on labor income	exo,pct	none	135, 89
TITC	sec_std, regions	rate of ITC	exo,pct	none	167, 61, 67, 76, 80
TITCH	regions	rate of ITC for households	exo,pct	none	135, 65, 69, 78
TIX	goods_o, dest	multilateral iceberg costs	exo,pct	none	33, 9
TOB	sec_std, regions	marginal q, TOB.NC	del,end	67	55, 70
TOBY	regions	marginal q, RR	del,end	68	59, 71
TOBZ	regions	marginal q, HH	del,end	69	60, 72
TPA	sec_std, regions	partial adjustment q	del,sta	70	55, 70
TPAY	regions	partial adjustment q RR	del,sta	71	59, 71
TPAZ	regions	partial adjustment q HH	del,sta	72	60, 72
TRAN	regions	total transfers	end,gdp	136	129, 139, 140, 89
TRANX	regions	exogenous transfers	exo,gdp	none	136
TXM	goods_o, dest	tariff revenue by good	end,gdp	131	132
WAG	sec_std, regions	sector wage	end,pct	45	129, 135, 22, 38, 76, 89
WAGE	regions	wage rate	pct,sta	43	109, 129, 135, 137, 25, 39, 43, 45, 77, 78, 89, 93, 99
WAGG	regions	government wage	end,pct	137	129, 135, 138, 89
WAGS	sec_std, regions	sector wage subsidy	exo,pct	none	22, 38, 76
WELH	regions	human wealth	cos,gdp	129	128, 129
WELT	regions	total wealth	end,gdp	128	90
YGRO	regions	real output growth	end,pct	88	103, 109
YRATN	regions	GDP ratio, nominal	exo,pct	none	none
YRATP	regions	GDP ratio, PPP	exo,pct	none	none
YRATR	regions	GDP ratio, real	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
alph_rex	regions	weight on shadow real exchange rate in CA intervention
ashr	currency, owner	asset split among currencies
base_jk	sec_std, regions	base J/K
btucoef	goods, regions	emissions coefficients, energy
carcoef	goods, regions	emissions coefficients, carbon
cd_df	goods_o, regions	1 if cd, 0 if ces
cd_e	sectors, 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	sectors, 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	sectors, 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	regions	depreciation rate
delta_dom	goods_o, regions	domestic weight in DF
delta_e	regions, sec_std, goods_e	input weights, individ goods
delta_eG	goods_e, regions	gov budget shares on E goods
delta_eH	goods_e, regions	input weights, individ goods
delta_eR	goods_e, regions	input weights, individ 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 M goods
delta_mH	goods_m, regions	input weights, individ goods
delta_mR	goods_m, regions	input weights, individ 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
eer_weight	dest, orig	trade weights, NEER and REER
eurowt	regions	weight on countries in Eurozone
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
FTA	dest, orig	free trade area tariff flag
int_elast	regions	interest elast 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 CPIinflation in M rule
mrule_10	regions	weight on nominal GDP in M rule
mrule_11	regions	weight on nominal gross output in M rule
mrule_12	regions	weight on nominal gross output net of trade in M rule
mrule_13	regions	weight on expected CPI inflation in M rule
mrule_14	regions	weight on expected real output growth in M rule
mrule_15	regions	weight on nominal GNE in M rule
mrule_2	regions	weight on PPIinflation in M rule
mrule_3	regions	weight on Core inflation in M rule
mrule_4	regions	weight on CPI level in M rule
mrule_5	regions	weight on PPI level in M rule
mrule_6	regions	weight on wage in M rule
mrule_7	regions	weight on wage growth in M rule
mrule_8	regions	weight on real output growthin M rule
mrule_9	regions	weight on nominal gross output growth in M rule
mrule_ex	regions	weight on exchange rate in M rule
mrule_m	regions	weight on po licy response in M rule
mrule_r	regions	weight on lag interest rate in M rule
MUL	dest, orig	multilateral tariff flag
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	subs elast between D&F srcs
sigma_e	sectors, 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	sectors, regions	subs elast, M tier
sigma_mH	regions	subs elast, M tier
sigma_mR	regions	subs elast, M tier
sigma_o	sectors, 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 eqn
wage_q	regions	employment param in wage eqn

Equation 1: EXCH

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

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

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

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

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

Equation 4: lnOUY
For g1 in goods_e, r in regions (2 total):

\[ \href{#lnOUY}{lnOUY(g1,r)} = ln{ \left(\href{#OUY}{OUY(g1,r)}\right) } \]

Equation 5: lnOUY
For g2 in goods_m, r in regions (2 total):

\[ \href{#lnOUY}{lnOUY(g2,r)} = ln{ \left(\href{#OUY}{OUY(g2,r)}\right) } \]

Equation 6: lnIMQ
For g3 in goods_o, r in regions (4 total):

\[ \href{#lnIMQ}{lnIMQ(g3,r)} = ln{ \left(1-\href{#delta_dom}{delta\_dom(g3,r)}\right) } +\href{#lnOUY}{lnOUY(g3,r)} +\href{#sigma_df}{sigma\_df(g3,r)} *{(\href{#PRS}{PRS(g3,r)}-\href{#PMR}{PMR(g3,r)})} \]

Equation 7: IMQ
For g3 in goods_o, r in regions (4 total):

\[ \href{#IMQ}{IMQ(g3,r)} = exp{ \left(\href{#lnIMQ}{lnIMQ(g3,r)}\right) } \]

Equation 8: PIM
For d in dest, g3 in goods_o, o1 in orig (8 total):

\[ \href{#PIM}{PIM(g3,d,o1)} = \href{#EXCH}{EXCH(o1)}+\href{#PRX}{PRX(g3,o1)} -\href{#EXCH}{EXCH(d)} \]

Equation 9: IMP
For d in dest, g3 in goods_o, o1 in orig (8 total):

\[ \href{#IMP}{IMP(g3,d,o1)} = \href{#delta_ff}{delta\_ff(g3,d,o1)}*\href{#IMQ}{IMQ(g3,d)} *{(\href{#carcoef}{carcoef(g3,d)}*\href{#TCP}{TCP(g3,d)} +\href{#btucoef}{btucoef(g3,d)}*\href{#TBFI}{TBFI(d)} +\href{#BCT}{BCT(g3,d,o1)} +{(1 +{(\href{#TIM}{TIM(g3,d,o1)}+\href{#TIX}{TIX(g3,d)})} *\href{#MUL}{MUL(d,o1)} +\href{#TIF}{TIF(g3,d)}*\href{#FTA}{FTA(d,o1)})} *exp{ \left( \href{#PIM}{PIM(g3,d,o1)}-\href{#PMR}{PMR(g3,d)}\right) })} ^{(-\href{#sigma_ff}{sigma\_ff(g3,d)})} +\href{#IMPX}{IMPX(g3,d,o1)} \]

Equation 10: PMQ
For d in dest, g3 in goods_o (4 total):

\[ \href{#PMQ}{PMQ(g3,d)} = ln{ \left( \frac{\sum_{o1 \; \text{in} \; \href{#orig}{orig}} { \left(\href{#IMP}{IMP(g3,d,o1)} *exp{ \left(\href{#PIM}{PIM(g3,d,o1)}\right) }\right) }}{\href{#IMQ}{IMQ(g3,d)}}\right) } \]

Equation 11: IMQT
For r in regions (2 total):

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

Equation 12: EXQT
For r in regions (2 total):

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

Equation 13: EXQ
For g3 in goods_o, o1 in orig (4 total):

\[ \href{#EXQ}{EXQ(g3,o1)} = \sum_{d \; \text{in} \; \href{#dest}{dest}} { \left(\href{#IMP}{IMP(g3,d,o1)}\right) } \]

Equation 14: PRX
For g3 in goods_o, r in regions (4 total):

\[ \href{#PRX}{PRX(g3,r)} = ln{ \left( {(1+\href{#TEX}{TEX(g3,r)})} *exp{ \left(\href{#PRS}{PRS(g3,r)}\right) } -\href{#carcoef}{carcoef(g3,r)}*\href{#TCP}{TCP(g3,r)} +\href{#btucoef}{btucoef(g3,r)}*\href{#TBFX}{TBFX(r)}\right) } \]

Equation 15: lnOUG
For g3 in goods_o, r in regions (4 total):

\[ \href{#lnOUG}{lnOUG(g3,r)} = ln{ \left(\href{#delta_dom}{delta\_dom(g3,r)}\right) } +\href{#lnOUY}{lnOUY(g3,r)} +\href{#sigma_df}{sigma\_df(g3,r)} *{(\href{#PRS}{PRS(g3,r)}-\href{#PRD}{PRD(g3,r)})} \]

Equation 16: OUG
For g3 in goods_o, r in regions (4 total):

\[ \href{#OUG}{OUG(g3,r)} = exp{ \left(\href{#lnOUG}{lnOUG(g3,r)}\right) } \]

Equation 17: OUP
For r in regions, s1 in sectors (4 total):

\[ \href{#OUP}{OUP(s1,r)} = \sum_{g \; \text{in} \; \href{#goods}{goods}} { \left(\href{#makeinv}{makeinv(g,s1,r)}*\href{#OUG}{OUG(g,r)}\right) } \]

Equation 18: lnOUP
For r in regions, s1 in sectors (4 total):

\[ \href{#lnOUP}{lnOUP(s1,r)} = ln{ \left(\href{#OUP}{OUP(s1,r)}\right) } \]

Equation 19: LAB
For r in regions, s in sec_std (4 total):

\[ \href{#LAB}{LAB(s,r)} = exp{ \left(\href{#lnLAB}{lnLAB(s,r)}\right) } \]

Equation 20: ENT
For r in regions, s in sec_std (4 total):

\[ \href{#ENT}{ENT(s,r)} = exp{ \left(\href{#lnENT}{lnENT(s,r)}\right) } \]

Equation 21: OIN
For r in regions, s in sec_std (4 total):

\[ \href{#OIN}{OIN(s,r)} = exp{ \left(\href{#lnOIN}{lnOIN(s,r)}\right) } \]

Equation 22: lnLAB
For r in regions, s in sec_std (4 total):

\[ \href{#lnLAB}{lnLAB(s,r)} = {(\href{#sigma_o}{sigma\_o(s,r)}-1)} *{(\href{#SHL}{SHL(r,s)}+\href{#SHY}{SHY(s,r)})} +ln{ \left(\href{#delta_o}{delta\_o(\text{l},s,r)}\right) } +\href{#lnOUP}{lnOUP(s,r)} +\href{#sigma_o}{sigma\_o(s,r)} *{(\href{#PRP}{PRP(s,r)}-\href{#WAG}{WAG(s,r)} +\href{#WAGS}{WAGS(s,r)})} \]

Equation 23: lnENT
For r in regions, s in sec_std (4 total):

\[ \href{#lnENT}{lnENT(s,r)} = {(\href{#sigma_o}{sigma\_o(s,r)}-1)} *{(\href{#SHEF}{SHEF(s,r)}+\href{#SHY}{SHY(s,r)})} +ln{ \left(\href{#delta_o}{delta\_o(\text{e},s,r)}\right) } +\href{#lnOUP}{lnOUP(s,r)} +\href{#sigma_o}{sigma\_o(s,r)} *{(\href{#PRP}{PRP(s,r)}-\href{#PRE}{PRE(s,r)})} \]

Equation 24: lnOIN
For r in regions, s in sec_std (4 total):

\[ \href{#lnOIN}{lnOIN(s,r)} = {(\href{#sigma_o}{sigma\_o(s,r)}-1)}*\href{#SHY}{SHY(s,r)} +ln{ \left(\href{#delta_o}{delta\_o(\text{m},s,r)}\right) } +\href{#lnOUP}{lnOUP(s,r)} +\href{#sigma_o}{sigma\_o(s,r)} *{(\href{#PRP}{PRP(s,r)}-\href{#POI}{POI(s,r)})} \]

Equation 25: IITL
For r in regions (2 total):

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

Equation 26: IITE
For r in regions (2 total):

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

Equation 27: IITO
For r in regions (2 total):

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

Equation 28: IIN
For g1 in goods_e, r in regions (2 total):

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

Equation 29: IIN
For g2 in goods_m, r in regions (2 total):

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

Equation 30: LABO
For r in regions (2 total):

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

Equation 31: PRS
For g3 in goods_o, r in regions (4 total):

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

Equation 32: PRY
For g in goods, r in regions (4 total):

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

Equation 33: PMR
For d in dest, g3 in goods_o (4 total):

\[ \href{#PMR}{PMR(g3,d)} = \href{#cd_ff}{cd\_ff(g3,d)} *\sum_{o1 \; \text{in} \; \href{#orig}{orig}} { \left(\href{#delta_ff}{delta\_ff(g3,d,o1)} *ln{ \left( \href{#carcoef}{carcoef(g3,d)}*\href{#TCP}{TCP(g3,d)} +\href{#btucoef}{btucoef(g3,d)}*\href{#TBFI}{TBFI(d)} +\href{#BCT}{BCT(g3,d,o1)} +{(1 +{(\href{#TIM}{TIM(g3,d,o1)}+\href{#TIX}{TIX(g3,d)})} *\href{#MUL}{MUL(d,o1)} +\href{#TIF}{TIF(g3,d)}*\href{#FTA}{FTA(d,o1)})} *exp{ \left(\href{#PIM}{PIM(g3,d,o1)}\right) }\right) }\right) } +\frac{{({(1-\href{#cd_ff}{cd\_ff(g3,d)})} *ln{ \left( \sum_{o1 \; \text{in} \; \href{#orig}{orig}} { \left(\href{#delta_ff}{delta\_ff(g3,d,o1)} *{(\href{#carcoef}{carcoef(g3,d)}*\href{#TCP}{TCP(g3,d)} +\href{#btucoef}{btucoef(g3,d)}*\href{#TBFI}{TBFI(d)} +\href{#BCT}{BCT(g3,d,o1)} +{(1 +{(\href{#TIM}{TIM(g3,d,o1)}+\href{#TIX}{TIX(g3,d)})} *\href{#MUL}{MUL(d,o1)} +\href{#TIF}{TIF(g3,d)}*\href{#FTA}{FTA(d,o1)})} *exp{ \left(\href{#PIM}{PIM(g3,d,o1)}\right) })} ^{(1-\href{#sigma_ff}{sigma\_ff(g3,d)})}\right) }\right) })}}{{(1 -\href{#sigma_ff}{sigma\_ff(g3,d)}*{(1-\href{#cd_ff}{cd\_ff(g3,d)})})}} \]

Equation 34: PRIM
For r in regions (2 total):

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

Equation 35: PRIE
For r in regions (2 total):

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

Equation 36: PROI
For r in regions (2 total):

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

Equation 37: PRD
For g in goods, r in regions (4 total):

\[ \href{#PRD}{PRD(g,r)} = ln{ \left( exp{ \left( \sum_{s1 \; \text{in} \; \href{#sectors}{sectors}} { \left(\href{#makeinv}{makeinv(g,s1,r)}*\href{#PRP}{PRP(s1,r)}\right) }\right) } +\href{#carcoef}{carcoef(g,r)}*\href{#TCP}{TCP(g,r)} +\href{#btucoef}{btucoef(g,r)}*\href{#TBFD}{TBFD(r)}\right) } \]

Equation 38: PRP
For r in regions, s in sec_std (4 total):

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

Equation 39: PRII
For r in regions (2 total):

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

Equation 40: PRK
For r in regions, s in sec_std (4 total):

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

Equation 41: PRKY
For r in regions (2 total):

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

Equation 42: PRKZ
For r in regions (2 total):

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

Equation 43: WAGE
For r in regions (2 total):

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

Equation 44: LABO
For r in regions (2 total):

\[ \href{#LABO}{LABO(r)} = \href{#LABX}{LABX(r)} \]

Equation 45: WAG
For r in regions, s in sec_std (4 total):

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

Equation 46: lnCAP
For r in regions, s in sec_std (4 total):

\[ \href{#lnCAP}{lnCAP(s,r)} = ln{ \left(\href{#CAP}{CAP(s,r)}\right) } \]

Equation 47: lnCAPY
For r in regions (2 total):

\[ \href{#lnCAPY}{lnCAPY(r)} = ln{ \left(\href{#CAPY}{CAPY(r)}\right) } \]

Equation 48: lnCAPZ
For r in regions (2 total):

\[ \href{#lnCAPZ}{lnCAPZ(r)} = ln{ \left(\href{#CAPZ}{CAPZ(r)}\right) } \]

Equation 49: CAP
For r in regions, s in sec_std (4 total):

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

Equation 50: CAPY
For r in regions (2 total):

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

Equation 51: CAPZ
For r in regions (2 total):

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

Equation 52: CAP
For r in regions, s in sec_std (4 total):

\[ \href{#CAP}{CAP(s,r)} = \frac{\href{#JNV}{JNV(s,r)}}{{(\href{#delta}{delta(r)}+\href{#labgrow}{labgrow(r)})}} \]

Equation 53: CAPY
For r in regions (2 total):

\[ \href{#CAPY}{CAPY(r)} = \frac{\href{#JNVY}{JNVY(r)}}{{(\href{#delta}{delta(r)}+\href{#labgrow}{labgrow(r)})}} \]

Equation 54: CAPZ
For r in regions (2 total):

\[ \href{#CAPZ}{CAPZ(r)} = \frac{\href{#JNVZ}{JNVZ(r)}}{{(\href{#delta}{delta(r)}+\href{#labgrow}{labgrow(r)})}} \]

Equation 55: INV
For r in regions, s in sec_std (4 total):

\[ \href{#INV}{INV(s,r)} = \frac{{({(1+.5*{(\href{#TOB}{TOB(s,r)}-1)})}*{(\href{#TOB}{TOB(s,r)}-1)} *exp{ \left(\href{#lnCAP}{lnCAP(s,r)}\right) })}}{\href{#phi}{phi(s,r)}} *\href{#forei}{forei(s,r)} +\frac{{({(1+.5*{(\href{#TPA}{TPA(s,r)}-1)})}*{(\href{#TPA}{TPA(s,r)}-1)} *exp{ \left(\href{#lnCAP}{lnCAP(s,r)}\right) })}}{\href{#phi}{phi(s,r)}} *{(1-\href{#forei}{forei(s,r)})} +\href{#SHKI}{SHKI(r,s)} \]

Equation 56: JNV
For r in regions, s in sec_std (4 total):

\[ \href{#JNV}{JNV(s,r)} = \frac{{(\href{#INV}{INV(s,r)} +\href{#phi}{phi(s,r)}*0.5*\href{#base_jk}{base\_jk(s,r)}^2 *exp{ \left(\href{#lnCAP}{lnCAP(s,r)}\right) })}}{{(1 +\href{#phi}{phi(s,r)}*\href{#base_jk}{base\_jk(s,r)})}} \]

Equation 57: INVY
For r in regions (2 total):

\[ \href{#INVY}{INVY(r)} = \href{#JNVY}{JNVY(r)} *{(1 +\frac{{(\frac{\href{#phi_y}{phi\_y(r)}}{2}*\href{#JNVY}{JNVY(r)})}}{exp{ \left(\href{#lnCAPY}{lnCAPY(r)}\right) }})} \]

Equation 58: INVZ
For r in regions (2 total):

\[ \href{#INVZ}{INVZ(r)} = \href{#JNVZ}{JNVZ(r)} *{(1 +\frac{{(\frac{\href{#phi_z}{phi\_z(r)}}{2}*\href{#JNVZ}{JNVZ(r)})}}{exp{ \left(\href{#lnCAPZ}{lnCAPZ(r)}\right) }})} \]

Equation 59: JNVY
For r in regions (2 total):

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

Equation 60: JNVZ
For r in regions (2 total):

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

Equation 61: LAM
For r in regions, s in sec_std (4 total):

\[ lead({\href{#LAM}{LAM(s,r)}}) = {(1+\href{#INTR}{INTR(r)}+\href{#RISE}{RISE(s,r)} +\href{#delta}{delta(r)})} *\href{#LAM}{LAM(s,r)} -{(1-\href{#TCOR}{TCOR(r)})} *exp{ \left( \href{#PRK}{PRK(s,r)}-\href{#PRID}{PRID(r)}\right) } -{(1-\href{#TITC}{TITC(s,r)})} *exp{ \left( \href{#PRII}{PRII(r)}-\href{#PRID}{PRID(r)}\right) } *\frac{\href{#phi}{phi(s,r)}}{2} *\frac{\href{#JNV}{JNV(s,r)}}{exp{ \left(\href{#lnCAP}{lnCAP(s,r)}\right) }} ^2 \]

Equation 62: LAM
For r in regions, s in sec_std (4 total):

\[ \href{#LAM}{LAM(s,r)} = \frac{{({(1-\href{#TCOR}{TCOR(r)})} *exp{ \left( \href{#PRK}{PRK(s,r)}-\href{#PRID}{PRID(r)}\right) } +{(1-\href{#TITC}{TITC(s,r)})} *exp{ \left( \href{#PRII}{PRII(r)}-\href{#PRID}{PRID(r)}\right) } *\frac{\href{#phi}{phi(s,r)}}{2} *\frac{\href{#JNV}{JNV(s,r)}}{exp{ \left(\href{#lnCAP}{lnCAP(s,r)}\right) }} ^2)}}{{(\href{#INTR}{INTR(r)}+\href{#RISE}{RISE(s,r)} +\href{#delta}{delta(r)})}} \]

Equation 63: LAMY
For r in regions (2 total):

\[ lead({\href{#LAMY}{LAMY(r)}}) = {(1+\href{#INTR}{INTR(r)}+\href{#RISY}{RISY(r)} +\href{#delta}{delta(r)})} *\href{#LAMY}{LAMY(r)} -{(1-\href{#TCOR}{TCOR(r)})} *exp{ \left( \href{#PRKY}{PRKY(r)}-\href{#PRID}{PRID(r)}\right) } -exp{ \left( \href{#PRII}{PRII(r)}-\href{#PRID}{PRID(r)}\right) } *\frac{\href{#phi_y}{phi\_y(r)}}{2} *\frac{\href{#JNVY}{JNVY(r)}}{exp{ \left(\href{#lnCAPY}{lnCAPY(r)}\right) }} ^2 \]

Equation 64: LAMY
For r in regions (2 total):

\[ \href{#LAMY}{LAMY(r)} = \frac{{({(1-\href{#TCOR}{TCOR(r)})} *exp{ \left( \href{#PRKY}{PRKY(r)}-\href{#PRID}{PRID(r)}\right) } +exp{ \left( \href{#PRII}{PRII(r)}-\href{#PRID}{PRID(r)}\right) } *\frac{\href{#phi_y}{phi\_y(r)}}{2} *\frac{\href{#JNVY}{JNVY(r)}}{exp{ \left(\href{#lnCAPY}{lnCAPY(r)}\right) }} ^2)}}{{(\href{#INTR}{INTR(r)}+\href{#RISY}{RISY(r)} +\href{#delta}{delta(r)})}} \]

Equation 65: LAMZ
For r in regions (2 total):

\[ lead({\href{#LAMZ}{LAMZ(r)}}) = {(1+\href{#INTR}{INTR(r)}+\href{#RISZ}{RISZ(r)} +\href{#delta}{delta(r)})} *\href{#LAMZ}{LAMZ(r)} -exp{ \left( \href{#PRKZ}{PRKZ(r)}-\href{#PRID}{PRID(r)}\right) } -{(1-\href{#TITCH}{TITCH(r)})} *exp{ \left( \href{#PRII}{PRII(r)}-\href{#PRID}{PRID(r)}\right) } *\frac{\href{#phi_z}{phi\_z(r)}}{2} *\frac{\href{#JNVZ}{JNVZ(r)}}{exp{ \left(\href{#lnCAPZ}{lnCAPZ(r)}\right) }} ^2 \]

Equation 66: LAMZ
For r in regions (2 total):

\[ \href{#LAMZ}{LAMZ(r)} = \frac{{(exp{ \left( \href{#PRKZ}{PRKZ(r)}-\href{#PRID}{PRID(r)}\right) } +{(1-\href{#TITCH}{TITCH(r)})} *exp{ \left( \href{#PRII}{PRII(r)}-\href{#PRID}{PRID(r)}\right) } *\frac{\href{#phi_z}{phi\_z(r)}}{2} *\frac{\href{#JNVZ}{JNVZ(r)}}{\href{#CAPZ}{CAPZ(r)}} ^2)}}{{(\href{#INTR}{INTR(r)}+\href{#RISZ}{RISZ(r)} +\href{#delta}{delta(r)})}} \]

Equation 67: TOB
For r in regions, s in sec_std (4 total):

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

Equation 68: TOBY
For r in regions (2 total):

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

Equation 69: TOBZ
For r in regions (2 total):

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

Equation 70: TPA
For r in regions, s in sec_std (4 total):

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

Equation 71: TPAY
For r in regions (2 total):

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

Equation 72: TPAZ
For r in regions (2 total):

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

Equation 73: TPA
For r in regions, s in sec_std (4 total):

\[ \href{#TPA}{TPA(s,r)} = \href{#TOB}{TOB(s,r)} \]

Equation 74: TPAY
For r in regions (2 total):

\[ \href{#TPAY}{TPAY(r)} = \href{#TOBY}{TOBY(r)} \]

Equation 75: TPAZ
For r in regions (2 total):

\[ \href{#TPAZ}{TPAZ(r)} = \href{#TOBZ}{TOBZ(r)} \]

Equation 76: PRF
For r in regions, s in sec_std (4 total):

\[ \href{#PRF}{PRF(s,r)} = \frac{{(\href{#OUP}{OUP(s,r)} *exp{ \left(\href{#PRP}{PRP(s,r)}\right) } -\href{#ENT}{ENT(s,r)} *exp{ \left(\href{#PRE}{PRE(s,r)}\right) } -\href{#LAB}{LAB(s,r)} *exp{ \left( \href{#WAG}{WAG(s,r)}-\href{#WAGS}{WAGS(s,r)}*1.0\right) } -\href{#OIN}{OIN(s,r)} *exp{ \left(\href{#POI}{POI(s,r)}\right) } -{(1-\href{#TITC}{TITC(s,r)})}*\href{#INV}{INV(s,r)} *exp{ \left(\href{#PRII}{PRII(r)}\right) })}}{exp{ \left(\href{#PRID}{PRID(r)}\right) }} \]

Equation 77: PRFY
For r in regions (2 total):

\[ \href{#PRFY}{PRFY(r)} = \frac{{(\href{#INVT}{INVT(r)} *exp{ \left(\href{#PRII}{PRII(r)}\right) } -\href{#IITE}{IITE(r)} *exp{ \left(\href{#PRIE}{PRIE(r)}\right) } -\href{#IITL}{IITL(r)} *exp{ \left(\href{#WAGE}{WAGE(r)}\right) } -\href{#IITO}{IITO(r)} *exp{ \left(\href{#PROI}{PROI(r)}\right) } -\href{#INVY}{INVY(r)} *exp{ \left(\href{#PRII}{PRII(r)}\right) })}}{exp{ \left(\href{#PRID}{PRID(r)}\right) }} \]

Equation 78: PRFZ
For r in regions (2 total):

\[ \href{#PRFZ}{PRFZ(r)} = \frac{{(\href{#CONP}{CONP(r)} *exp{ \left(\href{#PRCT}{PRCT(r)}\right) } -\href{#CNPE}{CNPE(r)} *exp{ \left(\href{#PRCE}{PRCE(r)}\right) } -\href{#CNPL}{CNPL(r)} *exp{ \left(\href{#WAGE}{WAGE(r)}\right) } -\href{#CNPO}{CNPO(r)} *exp{ \left(\href{#PRCO}{PRCO(r)}\right) } -{(1-\href{#TITCH}{TITCH(r)})}*\href{#INVZ}{INVZ(r)} *exp{ \left(\href{#PRII}{PRII(r)}\right) })}}{exp{ \left(\href{#PRID}{PRID(r)}\right) }} \]

Equation 79: PRFT
For r in regions (2 total):

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

Equation 80: STM
For r in regions, s in sec_std (4 total):

\[ \href{#STM}{STM(s,r)} = \frac{{(\href{#LAM}{LAM(s,r)} *exp{ \left(\href{#lnCAP}{lnCAP(s,r)}\right) })}}{{(1-\href{#TITC}{TITC(s,r)})}} \]

Equation 81: STMT
For r in regions (2 total):

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

Equation 82: INVT
For r in regions (2 total):

\[ \href{#INVT}{INVT(r)} = \href{#INVY}{INVY(r)}+\href{#INVZ}{INVZ(r)} +\sum_{s \; \text{in} \; \href{#sec_std}{sec\_std}} { \left(\href{#INV}{INV(s,r)}\right) } \]

Equation 83: PRID
For r in regions (2 total):

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

Equation 84: PRIX
For r in regions (2 total):

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

Equation 85: OUTP
For r in regions (2 total):

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

Equation 86: LOGY
For r in regions (2 total):

\[ \href{#LOGY}{LOGY(r)} = ln{ \left(\href{#OUTP}{OUTP(r)}\right) } \]

Equation 87: LGYL
For r in regions (2 total):

\[ lead({\href{#LGYL}{LGYL(r)}}) = \href{#LOGY}{LOGY(r)} \]

Equation 88: YGRO
For r in regions (2 total):

\[ \href{#YGRO}{YGRO(r)} = \href{#LOGY}{LOGY(r)}-\href{#LGYL}{LGYL(r)} \]

Equation 89: INCM
For r in regions (2 total):

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

Equation 90: CONP
For r in regions (2 total):

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

Equation 91: IRAS
For o2 in owner (2 total):

\[ \href{#IRAS}{IRAS(o2)} = \sum_{c \; \text{in} \; \href{#currency}{currency}} { \left(\href{#INTR}{INTR(c)} *exp{ \left(\href{#REXN}{REXN(c)}\right) } *\href{#ASSE}{ASSE(c,o2)}\right) } \]

Equation 92: INAS
For o2 in owner (2 total):

\[ \href{#INAS}{INAS(o2)} = \sum_{c \; \text{in} \; \href{#currency}{currency}} { \left(\href{#INTN}{INTN(c)} *exp{ \left(\href{#REXN}{REXN(c)}\right) } *\href{#ASSE}{ASSE(c,o2)}\right) } \]

Equation 93: CNPL
For r in regions (2 total):

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

Equation 94: CNPE
For r in regions (2 total):

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

Equation 95: CNPO
For r in regions (2 total):

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

Equation 96: CNPK
For r in regions (2 total):

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

Equation 97: CON
For g1 in goods_e, r in regions (2 total):

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

Equation 98: CON
For g2 in goods_m, r in regions (2 total):

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

Equation 99: PRCT
For r in regions (2 total):

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

Equation 100: PRCE
For r in regions (2 total):

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

Equation 101: PRCO
For r in regions (2 total):

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

Equation 102: MONE
For r in regions (2 total):

\[ \href{#MONE}{MONE(r)} = \href{#PRID}{PRID(r)}+\href{#LOGY}{LOGY(r)} +\href{#int_elast}{int\_elast(r)}*\href{#INTN}{INTN(r)} +\href{#SHKM}{SHKM(r)} \]

Equation 103: NGRO
For r in regions (2 total):

\[ \href{#NGRO}{NGRO(r)} = \href{#YGRO}{YGRO(r)}+\href{#INFP}{INFP(r)} \]

Equation 104: NGONOT
For r in regions (2 total):

\[ \href{#NGONOT}{NGONOT(r)} = ln{ \left( exp{ \left( \href{#LOGY}{LOGY(r)}+\href{#PRID}{PRID(r)}\right) } -\href{#TBAL}{TBAL(r)}\right) } \]

Equation 105: EYGR
For r in regions (2 total):

\[ \href{#EYGR}{EYGR(r)} = lead({\href{#LOGY}{LOGY(r)}})-\href{#LOGY}{LOGY(r)} \]

Equation 106: EPRC
For r in regions (2 total):

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

Equation 107: INTL
For r in regions (2 total):

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

Equation 108: INPL
For r in regions (2 total):

\[ lead({\href{#INPL}{INPL(r)}}) = \href{#INPN}{INPN(r)} \]

Equation 109: INPN
For n1 in noteuro (2 total):

\[ \href{#INPN}{INPN(n1)} = \href{#mrule_r}{mrule\_r(n1)}*\href{#INPL}{INPL(n1)} +\href{#mrule_ex}{mrule\_ex(n1)} *{(\href{#EXCH}{EXCH(n1)}-\href{#EXCL}{EXCL(n1)} -\href{#EXCX}{EXCX(n1)})} +\href{#mrule_1}{mrule\_1(n1)} *{(\href{#INFL}{INFL(n1)}-\href{#INFX}{INFX(n1)})} +\href{#mrule_2}{mrule\_2(n1)} *{(\href{#INFP}{INFP(n1)}-\href{#INFX}{INFX(n1)})} +\href{#mrule_3}{mrule\_3(n1)} *{(\href{#INFCL}{INFCL(n1)}-\href{#INFX}{INFX(n1)})} +\href{#mrule_4}{mrule\_4(n1)} *{(\href{#PRCT}{PRCT(n1)}-\href{#PTAR}{PTAR(n1)})} +\href{#mrule_5}{mrule\_5(n1)} *{(\href{#PRID}{PRID(n1)}-\href{#PTAR}{PTAR(n1)})} +\href{#mrule_6}{mrule\_6(n1)} *{(\href{#WAGE}{WAGE(n1)}-\href{#PTAR}{PTAR(n1)})} +\href{#mrule_8}{mrule\_8(n1)} *{(\href{#YGRO}{YGRO(n1)}-\href{#ROGY}{ROGY(n1)})} +\href{#mrule_9}{mrule\_9(n1)} *{(\href{#NGRO}{NGRO(n1)}-\href{#ROGY}{ROGY(n1)} -\href{#INFP}{INFP(n1)})} +\href{#mrule_10}{mrule\_10(n1)} *{(ln{ \left(\href{#GDPN}{GDPN(n1)}\right) } -\href{#ROGY}{ROGY(n1)})} +\href{#mrule_11}{mrule\_11(n1)} *{(\href{#LOGY}{LOGY(n1)}+\href{#PRID}{PRID(n1)})} +\href{#mrule_12}{mrule\_12(n1)}*\href{#NGONOT}{NGONOT(n1)} +\href{#mrule_13}{mrule\_13(n1)} *{(\href{#EPRC}{EPRC(n1)}-\href{#INFX}{INFX(n1)})} +\href{#mrule_14}{mrule\_14(n1)} *{(\href{#EYGR}{EYGR(n1)}-\href{#ROGY}{ROGY(n1)})} +\href{#mrule_15}{mrule\_15(n1)} *{(ln{ \left(\href{#GNEN}{GNEN(n1)}\right) } -\href{#ROGY}{ROGY(n1)})} \]

Equation 110: INTN
For n1 in noteuro (2 total):

\[ \href{#INTN}{INTN(n1)} = \href{#INTL}{INTL(n1)} +\href{#mrule_m}{mrule\_m(n1)} *{(\href{#INPN}{INPN(n1)}-\href{#INTN}{INTN(n1)})} +\href{#INTX}{INTX(n1)} \]

Equation 111: INTF
For r in regions (2 total):

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

Equation 112: INTR
For r in regions (2 total):

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

Equation 113: INTR
For r in regions (2 total):

\[ \href{#INTR}{INTR(r)} = \href{#INTN}{INTN(r)} \]

Equation 114: INFL
For r in regions (2 total):

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

Equation 115: INFCL
For r in regions (2 total):

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

Equation 116: INFP
For r in regions (2 total):

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

Equation 117: PRCL
For r in regions (2 total):

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

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

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

Equation 119: PRDL
For r in regions (2 total):

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

Equation 120: GDPN
For r in regions (2 total):

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

Equation 121: GDPR
For r in regions (2 total):

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

Equation 122: GNEN
For r in regions (2 total):

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

Equation 123: GNER
For r in regions (2 total):

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

Equation 124: PGDP
For r in regions (2 total):

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

Equation 125: GNPR
For r in regions (2 total):

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

Equation 126: CURN
For r in regions (2 total):

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

Equation 127: CURR
For r in regions (2 total):

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

Equation 128: WELT
For r in regions (2 total):

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

Equation 129: WELH
For r in regions (2 total):

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

Equation 130: WELH
For r in regions (2 total):

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

Equation 131: TXM
For d in dest, g3 in goods_o (4 total):

\[ \href{#TXM}{TXM(g3,d)} = \frac{\sum_{o1 \; \text{in} \; \href{#orig}{orig}} { \left({(\href{#TIM}{TIM(g3,d,o1)}*\href{#MUL}{MUL(d,o1)} +\href{#TIF}{TIF(g3,d)}*\href{#FTA}{FTA(d,o1)})} *exp{ \left(\href{#PIM}{PIM(g3,d,o1)}\right) } *\href{#IMP}{IMP(g3,d,o1)}\right) }}{exp{ \left(\href{#PRID}{PRID(d)}\right) }} \]

Equation 132: 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 133: TAXX
For r in regions (2 total):

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

Equation 134: TAXT
For r in regions (2 total):

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

Equation 135: TAXH
For r in regions (2 total):

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

Equation 136: TRAN
For r in regions (2 total):

\[ \href{#TRAN}{TRAN(r)} = \href{#TRANX}{TRANX(r)} -\href{#transgdp}{transgdp(r)}*\href{#OUTP}{OUTP(r)} \]

Equation 137: WAGG
For r in regions (2 total):

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

Equation 138: GOVT
For r in regions (2 total):

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

Equation 139: DEFN
For r in regions (2 total):

\[ \href{#DEFN}{DEFN(r)} = \href{#GOVT}{GOVT(r)}+\href{#TRAN}{TRAN(r)} -\href{#TAXT}{TAXT(r)} +\href{#INTN}{INTN(r)}*\href{#BOND}{BOND(r)} \]

Equation 140: DEFI
For r in regions (2 total):

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

Equation 141: GCET
For r in regions (2 total):

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

Equation 142: GCE
For g1 in goods_e, r in regions (2 total):

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

Equation 143: GCE
For g2 in goods_m, r in regions (2 total):

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

Equation 144: PRGT
For r in regions (2 total):

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

Equation 145: BOND
For r in regions (2 total):

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

Equation 146: BOND
For r in regions (2 total):

\[ \href{#BOND}{BOND(r)} = \frac{\href{#DEFI}{DEFI(r)}}{\href{#labgrow}{labgrow(r)}} \]

Equation 147: SAVI
For r in regions (2 total):

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

Equation 148: SAVN
For r in regions (2 total):

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

Equation 149: SAVT
For r in regions (2 total):

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

Equation 150: TBAL
For r in regions (2 total):

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

Equation 151: TBAU
For r in regions (2 total):

\[ \href{#TBAU}{TBAU(r)} = {(\href{#EXQT}{EXQT(r)}-\href{#IMQT}{IMQT(r)})} *exp{ \left(\href{#REXN}{REXN(r)}\right) } \]

Equation 152: EXCH

\[ \href{#EXCH}{EXCH(n2)} = \href{#REXN}{REXN(n2)}-\href{#PRID}{PRID(n2)} +\href{#PRID}{PRID(\text{UU})} \]

Equation 153: EXCL
For r in regions (2 total):

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

Equation 154: REXC
For r in regions (2 total):

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

Equation 155: REXN
For r in regions (2 total):

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

Equation 156: INTR

\[ \href{#INTR}{INTR(n2)} = \href{#INTR}{INTR(\text{UU})}+\href{#EXCR}{EXCR(n2)} \]

Equation 157: NEER
For d in dest (2 total):

\[ \href{#NEER}{NEER(d)} = {( -\sum_{o1 \; \text{in} \; \href{#orig}{orig}} { \left(\href{#eer_weight}{eer\_weight(d,o1)} *{(\href{#EXCH}{EXCH(o1)}-\href{#EXCH}{EXCH(d)})}\right) })} \]

Equation 158: REER
For d in dest (2 total):

\[ \href{#REER}{REER(d)} = {( -\sum_{o1 \; \text{in} \; \href{#orig}{orig}} { \left(\href{#eer_weight}{eer\_weight(d,o1)} *{(\href{#REXN}{REXN(o1)}-\href{#REXN}{REXN(d)})}\right) })} \]

Equation 159: ABUY
For o2 in owner (2 total):

\[ \href{#ABUY}{ABUY(o2)} = \sum_{a \; \text{in} \; \href{#abroad}{abroad}} { \left(\href{#ainv}{ainv(o2,a)}*\href{#CURR}{CURR(a)}\right) } \]

Equation 160: ASSE
For c in currency, o2 in owner (4 total):

\[ lead({\href{#ASSE}{ASSE(c,o2)}}) = \href{#ASSE}{ASSE(c,o2)}*{(1-\href{#labgrow}{labgrow(o2)})} +\frac{{(\href{#ashr}{ashr(c,o2)}*\href{#ABUY}{ABUY(o2)} +\href{#aeye}{aeye(c,o2)} *{(\href{#CURR}{CURR(o2)}-\href{#ABUY}{ABUY(o2)})})}}{exp{ \left(\href{#REXN}{REXN(c)}\right) }} \]

Equation 161: ASSE
For c in currency, o2 in owner (4 total):

\[ \href{#ASSE}{ASSE(c,o2)} = \frac{{(\frac{{(\href{#ashr}{ashr(c,o2)}*\href{#ABUY}{ABUY(o2)})}}{\href{#labgrow}{labgrow(o2)}} +\frac{{(\href{#aeye}{aeye(c,o2)} *{(\href{#CURR}{CURR(o2)}-\href{#ABUY}{ABUY(o2)})})}}{\href{#labgrow}{labgrow(o2)}})}}{exp{ \left(\href{#REXN}{REXN(c)}\right) }} \]

Equation 162: ASSU
For o2 in owner (2 total):

\[ \href{#ASSU}{ASSU(o2)} = \sum_{c \; \text{in} \; \href{#currency}{currency}} { \left(exp{ \left(\href{#REXN}{REXN(c)}\right) } *\href{#ASSE}{ASSE(c,o2)}\right) } \]

Equation 163: EN
For g1 in goods_e, r in regions, s in sec_std (4 total):

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

Equation 164: OI
For g2 in goods_m, r in regions, s in sec_std (4 total):

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

Equation 165: PRE
For r in regions, s in sec_std (4 total):

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

Equation 166: POI
For r in regions, s in sec_std (4 total):

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

Equation 167: TAXC
For r in regions (2 total):

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

Equation 168: TAXL
For r in regions (2 total):

\[ \href{#TAXL}{TAXL(r)} = \href{#INTR}{INTR(r)}*\href{#BOND}{BOND(r)} \]

G-Cubed model_2R_170logv7