French quaterly national accounts : Input-Output Tables methodology and indicators Fabrice Lenglart

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French quaterly national accounts :
Input-Output Tables methodology and indicators
Fabrice Lenglart
national account department
November, 7th 2006
IO tables methodology and indicators
Programme
› Calculation of the GDP: the 3 approaches to VA
› Calculation of the Intermediate Consumption
› The IOT-SUT synthesis: an iterative process
› Calibrating and fitting
› Indicators used
› Link with institutional sector accounts
F. Lenglartt
Input-Output tables
November 7th , 2006
Globally speaking, « TES », is an integrated
presentation of IO tables and SU tables
RESOURCES
BY
PRODUCTS
INTERMEDIATE CONSUMPTION
TABLE BY
PRODUCTS x INDUSTRIES
FINAL USES
BY
PRODUCTS
SUT
PRODUCTION ACCOUNTS
BY
INDUSTRIES
GENERATION OF INCOME
ACCOUNTS…
SECTOR ACCOUNTS
F. Lenglartt
Input-Output tables
November 7th , 2006
« Industries »
P
r
o
d
u
c
t
s
P
-
Resources =
IC
=
VA
F. Lenglartt
+
P
-
P
-
IC
+ IC
=
VA
=
VA
Input-Output tables
+ final uses
November 7th , 2006
Calculation of the GDP
the 3 approaches to VA
› GDP = Σ VA
+ Taxes on products (T)
- Subsidies on products (S)
› 3 approaches to VA…
–output approach = “by industry" approach (Supply and
Use table SUT and Input-Output table IOT) : VA = P1 – P2
–expenditure approach = “by product” approach (supply
and use balances) from the use side
–income approach : generation of income accounts by
industries and sector accounts
F. Lenglartt
Input-Output tables
November 7th , 2006
Calculation of the GDP
from one approach to the two others
› We start with the "by industry" approach
GDP = Σ output – IC + Taxes on products (T) - Subsidies
on products (S)
› Then, using the SUT / IOT relationships between
industries and products (supply and use balances)
Output + T-S + M +T&TM = IU + FU
and
Σ IU = Σ IC
› we obtain the two other approaches:
–expenditure approach = “by product” approach (supply
and use balances)  all products but administration
–income approach = generation of income accounts by
branches and sector accounts  administration industry
F. Lenglartt
Input-Output tables
November 7th , 2006
Calculation of the GDP
the two expenditure approaches
› Among which we choose two
–“By product” approach on the supply side for “goods”
VA = Outputg – IUg + Tg-Sg
Agriculture & fishery + all manufacturing goods + oil + transportation
–“By product” approach on the use side for “services”
VAs = FUs
water & gas & electricity + construction + market services
–income approach
VAa + ICa
administration industry
F. Lenglartt
Input-Output tables
November 7th , 2006
Calculation of the GDP
structure of the SUT and IOT
› “Goods” on the supply side because the supply and use
balances are balanced by the change in inventories
(part of FU)
› “Services” on the use side because the supply and use
balances are balanced by the output
› We don’t want the GDP to include discrepancies
between supply and uses in the SUT.
F. Lenglartt
Input-Output tables
November 7th , 2006
Calculation of the intermediate consumptions
› IC are calculated in the QNA similarly to their annual
equivalent
› For the branch b and the product p:
ICb(p) = b(p) Pb
›  (technical coefficients) are based on the forecasting of
the present year, using the information from the past
(level and trends), assuming that there is no sudden
major change in the technology of production
F. Lenglartt
Input-Output tables
November 7th , 2006
Before starting the IOT-SUT synthesis
Final uses
emplois
finals
Conso, stocks
FBCF,
Export
Ch.
Inventories
Transport marg.
RESSOURCES
EMPLOIS
Ressources
Uses
Taxes on
Trade Marg. MT Imp Emplois
Intermed.
uses
Prod
surproducts
produits Sub MC
intermédiaires
out Impôts
d212
sur EF sur EI
EA-EF
FG2 EJ EH EM BUF,
put TVAVAT
ER ER
sur
FG1 EK EL
FN4 FP2
onEF sur
onEI d214
on
on
FQB
FN1 FN2 FP3 FQ1
FU
IU
FU IU
FN3 FP1 FQA
Agric.
Manuf
EA-EF
oil,
transp FG1 EK
FQB
FG2 EJ
EL FN1
WGE, FN1 FN2
services FN3 FP1
Transp., EH EM
constr., FN4 FP2
FP3 FQ1
trade
FQA
ER ER
BUF,
F. Lenglartt
Input-Output tables
November 7th , 2006
First calculation of ICs
Final uses
emplois
finals
Conso, stocks
FBCF,
Export
Ch.
Inventories
Transport marg.
RESSOURCES
EMPLOIS
Ressources
Uses
Taxes on
Trade Marg. MT Imp Emplois
Intermed.
uses
Prod
surproducts
produits Sub MC
intermédiaires
out Impôts
d212
sur EF sur EI
EA-EF
FG2 EJ EH EM BUF,
put TVAVAT
ER ER
sur
FG1 EK EL
FN4 FP2
onEF sur
onEI d214
on
on
FQB
FN1 FN2 FP3 FQ1
FU
IU
FU IU
FN3 FP1 FQA
Agric.
Manuf
EA-EF
oil,
transp FG1 EK
FQB
FG2 EJ
EL FN1
WGE, FN1 FN2
services FN3 FP1
Transp., EH EM
constr., FN4 FP2
trade FP3 FQ1
FQA
ER ER
BUF,
F. Lenglartt
Input-Output tables
November 7th , 2006
First partial balancing
Final uses
emplois
finals
Conso, stocks
FBCF,
Export
Ch.
Inventories
Transport marg.
RESSOURCES
EMPLOIS
Ressources
Uses
Taxes on
Trade Marg. MT Imp Emplois
Intermed.
uses
Prod
surproducts
produits Sub MC
intermédiaires
out Impôts
d212
sur EF sur EI
EA-EF
FG2 EJ EH EM BUF,
put TVAVAT
ER ER
sur
FG1 EK EL
FN4 FP2
onEF sur
onEI d214
on
on
FQB
FN1 FN2 FP3 FQ1
FU
IU
FU IU
FN3 FP1 FQA
Agric.
Manuf
EA-EF
oil,
transp FG1 EK
FQB
FG2 EJ
EL FN1
WGE, FN1 FN2
services FN3 FP1
Transp., EH EM
constr., FN4 FP2
trade FP3 FQ1
FQA
ER ER
BUF,
F. Lenglartt
Input-Output tables
November 7th , 2006
Second calculation of ICs
Final uses
emplois
finals
Conso, stocks
FBCF,
Export
Ch.
Inventories
Transport marg.
RESSOURCES
EMPLOIS
Ressources
Uses
Taxes on
Trade Marg. MT Imp Emplois
Intermed.
uses
Prod
surproducts
produits Sub MC
intermédiaires
out Impôts
d212
sur EF sur EI
EA-EF
FG2 EJ EH EM BUF,
put TVAVAT
ER ER
sur
FG1 EK EL
FN4 FP2
onEF sur
onEI d214
on
on
FQB
FN1 FN2 FP3 FQ1
FU
IU
FU IU
FN3 FP1 FQA
Agric.
Manuf
EA-EF
oil,
transp FG1 EK
FQB
FG2 EJ
EL FN1
WGE, FN1 FN2
services FN3 FP1
Transp., EH EM
constr., FN4 FP2
trade FP3 FQ1
FQA
ER ER
BUF,
F. Lenglartt
Input-Output tables
November 7th , 2006
Calculation of TMs = “MC” on IUs & First
calculation of VAT on IUs
Final uses
emplois
finals
Conso, stocks
FBCF,
Export
Ch.
Inventories
Transport marg.
RESSOURCES
EMPLOIS
Ressources
Uses
Taxes on
Trade Marg. MT Imp Emplois
Intermed.
uses
Prod
surproducts
produits Sub MC
intermédiaires
out Impôts
d212
sur EF sur EI
EA-EF
FG2 EJ EH EM BUF,
put TVAVAT
ER ER
sur
FG1 EK EL
FN4 FP2
onEF sur
onEI d214
on
on
FQB
FN1 FN2 FP3 FQ1
FU
IU
FU IU
FN3 FP1 FQA
Agric.
Manuf
EA-EF
oil,
transp FG1 EK
FQB
FG2 EJ
EL FN1
WGE, FN1 FN2
services FN3 FP1
Transp., EH EM
constr., FN4 FP2
trade FP3 FQ1
FQA
ER ER
BUF,
F. Lenglartt
Input-Output tables
November 7th , 2006
Second partial balancing
Final uses
emplois
finals
Conso, stocks
FBCF,
Export
Ch.
Inventories
Transport marg.
RESSOURCES
EMPLOIS
Ressources
Uses
Taxes on
Trade Marg. MT Imp Emplois
Intermed.
uses
Prod
surproducts
produits Sub MC
intermédiaires
out Impôts
d212
sur EF sur EI
EA-EF
FG2 EJ EH EM BUF,
put TVAVAT
ER ER
sur
FG1 EK EL
FN4 FP2
onEF sur
onEI d214
on
on
FQB
FN1 FN2 FP3 FQ1
FU
IU
FU IU
FN3 FP1 FQA
Agric.
Manuf
EA-EF
oil,
transp FG1 EK
FQB
FG2 EJ
EL FN1
WGE, FN1 FN2
services FN3 FP1
Transp., EH EM
constr., FN4 FP2
trade FP3 FQ1
FQA
ER ER
BUF,
F. Lenglartt
Input-Output tables
November 7th , 2006
Third calculation of ICs
Final uses
emplois
finals
Conso, stocks
FBCF,
Export
Ch.
Inventories
Transport marg.
RESSOURCES
EMPLOIS
Ressources
Uses
Taxes on
Trade Marg. MT Imp Emplois
Intermed.
uses
Prod
surproducts
produits Sub MC
intermédiaires
out Impôts
d212
sur EF sur EI
EA-EF
FG2 EJ EH EM BUF,
put TVAVAT
ER ER
sur
FG1 EK EL
FN4 FP2
onEF sur
onEI d214
on
on
FQB
FN1 FN2 FP3 FQ1
FU
IU
FU IU
FN3 FP1 FQA
Agric.
Manuf
EA-EF
oil,
transp FG1 EK
FQB
FG2 EJ
EL FN1
WGE, FN1 FN2
services FN3 FP1
Transp., EH EM
constr., FN4 FP2
trade FP3 FQ1
FQA
ER ER
BUF,
F. Lenglartt
Input-Output tables
November 7th , 2006
Last calculation of VAT on IUs and TMs
Final uses
emplois
finals
Conso, stocks
FBCF,
Export
Ch.
Inventories
Transport marg.
RESSOURCES
EMPLOIS
Ressources
Uses
Taxes on
Trade Marg. MT Imp Emplois
Intermed.
uses
Prod
surproducts
produits Sub MC
intermédiaires
out Impôts
d212
sur EF sur EI
EA-EF
FG2 EJ EH EM BUF,
put TVAVAT
ER ER
sur
FG1 EK EL
FN4 FP2
onEF sur
onEI d214
on
on
FQB
FN1 FN2 FP3 FQ1
FU
IU
FU IU
FN3 FP1 FQA
Agric.
Manuf
EA-EF
oil,
transp FG1 EK
FQB
FG2 EJ
EL FN1
WGE, FN1 FN2
services FN3 FP1
Transp., EH EM
constr., FN4 FP2
trade FP3 FQ1
FQA
ER ER
BUF,
F. Lenglartt
Input-Output tables
November 7th , 2006
Balancing the SUT
Final uses
emplois
finals
Conso, stocks
FBCF,
Export
Ch.
Inventories
Transport marg.
RESSOURCES
EMPLOIS
Ressources
Uses
Taxes on
Trade Marg. MT Imp Emplois
Intermed.
uses
Prod
surproducts
produits Sub MC
intermédiaires
out Impôts
d212
sur EF sur EI
EA-EF
FG2 EJ EH EM BUF,
put TVAVAT
ER ER
sur
FG1 EK EL
FN4 FP2
onEF sur
onEI d214
on
on
FQB
FN1 FN2 FP3 FQ1
FU
IU
FU IU
FN3 FP1 FQA
Agric.
Manuf
EA-EF
oil,
transp FG1 EK
FQB
FG2 EJ
EL FN1
WGE, FN1 FN2
services FN3 FP1
Transp., EH EM
constr., FN4 FP2
trade FP3 FQ1
FQA
ER ER
BUF,
F. Lenglartt
Input-Output tables
November 7th , 2006
Calibrating and fitting
Available data:
› Annual account series based on comprehensive sources
– Ex :Household consumption of cars
› Quarterly partial data: indicators
– Vehicle registration
› Under constraint the quarterly accounts add up to annual ones
Solution=calibration/fitting
F. Lenglartt
Input-Output tables
November 7th , 2006
Calibrating and fitting
Calibrating
› Estimation of an annual relationship between annual accounts and
annualised indicator :
A y  α  βI y  ε y
›Use of the relationship on quarterly series
α̂
Âq   β̂Iq  ε̂ q
4
F. Lenglartt
Input-Output tables
November 7th , 2006
Calibrating and fitting
Fitting
 Â y,q  A y
q

ε y  A y   Â y,q
q

where
α̂
A y,q 
 β̂I y,q  ε̂ y,q
4
(ε y,q ) solves
min  (ε y ,q - ε y ,q -1 ) 2
uc
 ε y,q  ε̂ y
q
F. Lenglartt
Input-Output tables
November 7th , 2006
Indicators and sources
› Output
–Volume indicators
‐ IPEA (INSEE) for agricultural products
‐ IPI (INSEE) for all industrial products (but FE3, FC4)
‐ Indexes from professional committees (oil, cars…)
–Value indicators
‐ VAT turnover index (INSEE)
–Price deflators
‐ PPI (IPPAP, IPVI INSEE)
F. Lenglartt
Input-Output tables
November 7th , 2006
Indicators and sources
› External trade
–Value indicators
‐ Customs for goods
‐ Balance of Payments (CB) for services
–Price deflators
‐ Unit Value Index (goods)
‐ Internal market prices (services)
–CIF-FOB correction in order to measure FOB imports and
thus FOB-FOB accounts
F. Lenglartt
Input-Output tables
November 7th , 2006
Indicators and sources
› Final Consumption
–Volume indicators = goods
‐ Numerous specific indicators (levels 100 and 300 of the classification)
for goods: food industry (meat, milk, bred, tobacco…), manufacturing
goods (cars = vehicle registration records, furniture, books,
clothing&shoes, medicines…), energetic products (Oil, gas,
electricity), water supply…
–Value indicators = services
‐ Specific indicators (transports, telecommunications, health sector =
national health-insurance fund)
‐ VAT turnover index for other products (hotels & restaurants…)
–Price deflators
‐ CPI (INSEE)
F. Lenglartt
Input-Output tables
November 7th , 2006
Indicators and sources
› GFCF
–Volume indicators
‐ Specific products (airplanes = Airbus fine tracking, cars = vehicle
registration records)
‐ Buildings (Buildings starts records, buildings modification index,
housing stocks)
‐ Public works
–Value indicators
‐ VAT turnover in wholesale of Manufacturing goods (machinery,
electronics)
–Price deflators
‐ Buildings: Building Cost Index, cost of public works
F. Lenglartt
Input-Output tables
November 7th , 2006
Link with institutional sectors accounts
› The value added and the intermediate consumption by
industry come from the input/output table

Value added by institutional sector
Intermediate consumption by institutional sector

Output by institutional sector
F. Lenglartt
Input-Output tables
November 7th , 2006
Link with institutional sectors accounts
Value added by institutional sector
› Non market value added
–computed by the factors’ costs for GG, HHs and NPISHs
› Market value added by institutional sector
–Indicator of market value added of FCs, GG, HHs and
NIEs
= sum of VA of specific industries weighted by fixed
coefficients
› Balance of the total Value added compiled in the IOT on
the total VA of NFCs
F. Lenglartt
Input-Output tables
November 7th , 2006
Link with institutional sectors accounts
Output by institutional sector
› Intermediate consumptions by industry also come from
the Input/Output table
Intermediate consumption by sector
› Balancing on output
F. Lenglartt
Input-Output tables
November 7th , 2006
French quaterly national accounts :
Input-Output Tables methodology and indicators
Fabrice Lenglart
national account department
November, 7th 2006
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