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EUROPEAN COMMISSION EUROSTAT Directorate C: National Accounts; prices and key indicators Unit C-2: National and Regional Accounts – Production. Balance of Payments
27 March 2014
BP/14/14
BALANCE OF PAYMENTS
WORKING GROUP
9-10 APRIL 2014
Ampere Room, BECH Building
Kirchberg, Luxembourg
Starting: 9 April 2014 at 9.30
Ending: 10 April 2014 at 15.45
FIRST RELEASE OF EU28 SEASONALLY
ADJUSTED BOP DATA
Item 14 on the agenda
Documents are available on CIRCABC here (user must be logged in)
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1. Introduction
Seasonally and working day adjusted data related to the EU28 were for the first time
disseminated by Eurostat on 23 January 2014, together with non-seasonally quarterly balance
of payments data.
The seasonally adjusted BoP data related to the EU28 include the total current account and its
main sub-items (i.e. goods, services, income and current transfers) and start from reference
quarter 1999Q1.
This note describes how seasonal adjustment is performed and presents the results for the EU
quarterly balance of payments data.
The seasonally adjusted series are obtained by removing any significant seasonal and
calendar effects from the raw series by TRAMO-SEATS method.
Because of calendar effect adjustment, the sum of the seasonally adjusted quarterly data does
not fully match the published non-seasonally adjusted annual aggregates. Quality of annual
totals was checked and evaluated as “good”. Discrepancies have been insignificant for all
credit and debit series (the highest for services, credits – 0.07%), as well as for net results,
being only more substantial for income. It was decided not to force equality over the year
between the seasonally adjusted data and the raw data, as it could result in the bias in adjusted
figures.
The original modelling of the times series was carried out with the raw series data for
quarters from 1999Q1 until 2013Q3.1 Following the approach used for Euro Area seasonally
adjusted data compiled by the ECB, a direct approach was chosen also for the most
important EU aggregates. This means that the adjustments are made directly for the EU
aggregates, instead of adjusting the underlying country contributions and aggregating them
afterwards.
Out of the fifteen seasonally adjusted series to be published, eight series are produced using
“direct adjustments”, i.e. the EU aggregates for goods, income, services and current transfers
are adjusted separately for credits and debits. Indirect seasonal adjustement approach is
performed for the remaining seven series, credits and debits for the total current account, as
well as all five net flows series, i.e. the seasonally adjusted data for these series are computed
using the seasonally adjusted series of their components.
The seasonal adjustment revision policy follows "Partial concurrent adjustment" when raw
data series are revised backwards and "Controlled current adjustment" in those calculation
rounds when only a new observation is added to the previously existing series.2 In a review
1 The modelling results shown later in this paper include one new observation, 2013Q4, after the actual
modelling period. At the time of the modelling period all the residual tests showed good results. Following ESS
guidelines, the models are rechecked only once a year. 2 Partial concurrent adjustment refers to a seasonal adjustment revision policy, in which the model, filters,
outliers and calendar regressors are re-identified once a year and the respective parameters and factors re-
estimated every time a new or revised data becomes available. Controlled current adjustment means that
forecasted seasonal and calendar factors derived from a (previous) current adjustment are used to seasonally
adjust the new data. See ESS Guidelines on Seasonal Adjustment, Eurostat, 2009, KS-RA-09-006-EN-N, p. 23.
http://epp.eurostat.ec.europa.eu/cache/ITY_OFFPUB/KS-RA-09-006/EN/KS-RA-09-006-EN.PDF
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period, mainly once a year, the ARIMA modelling and the pre-adjustment factors are
carefully re-examined.
2. Pre-treatment of the series
Both seasonal and calendar factors may have effect on balance of payments time series.
Therefore, seasonal and working day adjustment was applied. The latest series to adjust
include 60 quarters of BoP raw data (from 1999Q1 until 2013Q4). A detailed graphical
analysis was carried out on all the time series. Seasonality for each individual BoP item was
similar in all analysed years.
The range of statistical and non-statistical tests used to assess the “model fit” and “quality” of
the seasonal adjustments were taken from the recommendations provided in the “ESS
Guidelines on Seasonal Adjustment” 3
. The two statistical tests on a normal distribution and
independent ARIMA model residuals were applied to the model residuals, with statements
“Good” shown in the summary outputs.
The quality of the seasonal adjustment process was assessed through examining residual
effects, and decomposition properties.
The following tests have been applied:
Normality - Doornik-Hansen test (which combines skweness and kurtosis tests),
Independence - Ljung-Box test (testing the non-autocorrelation of the residuals),
Spectral tests - tests based on the periodogram of the residuals, for the trading days’
frequencies and for the seasonal frequencies,
Residual seasonality - the F-Test on stable seasonality,
Seats diagnostics - diagnostic on the seasonal variance (expressed in terms of
innovation variance).
3. Detailed description of the results of the seasonal adjustment
Next, the test results on the time series modelling as well as the seasonally adjusted
results for all seasonally adjusted series will be reviewed. It is worth noticing that the
statistical tests on the model fit refer to the situation one period after the actual
modelling round.
3.1. Goods
For non-seasonally adjusted series values for goods, credits are normally the lowest in the
first quarter of the years (smaller number of working days, lower economic activity at the
beginning of the year) and the highest in the fourth quarters, while for goods, debits
seasonality is smaller and with the same pattern as for credits. This results in differences
between adjusted and non-adjusted being highest for both credits and debits in first and fourth
quarters of the year (from 2% to 4% for credits and from 0% to 3% for debits) and being less
significant for other quarters (between 0% and 1%).
Below are described the main results of the diagnostics:
Credits:
Summary:
Good - In general, good quality seasonal adjustment means that an adequate model of
decomposition was chosen
3 ESS Guidelines on Seasonal Adjustment, Eurostat, 2009, KS-RA-09-006-EN-N, page 25.
http://epp.eurostat.ec.europa.eu/cache/ITY_OFFPUB/KS-RA-09-006/EN/KS-RA-09-006-EN.PDF
4
Basic checks - The annual totals of the original series and the seasonally adjusted series
match.
definition: Good (0.000)
annual totals: Good (0.001)
Visual spectral analysis - In the original series seasonal and working days peaks are
visually present.
spectral seas peaks: Bad
spectral td peaks: Good
Regarima residuals - Residuals are distributed randomly and independently. There are
no seasonal effects in residuals.
normality: Good (0.821)
independence: Uncertain (0.099)
spectral td peaks: Uncertain (0.002)
spectral seas peaks: Good (0.705)
Residual seasonality - There are no seasonal effects in the seasonally adjusted series,
during the last 3 years, as well in the irregular components series. There are no
indications of residual seasonal fluctuations in the entire series.
on sa: Good (0.607)
on sa (last 3 years): Good (0.524)
on irregular: Good (0.622)
Outliers – three pre-specified outliers - two level-shift (2008Q4 and 2009Q1), and one
additive outlier (2005Q1).
number of outliers: Uncertain (0.050)
Seats - Trend, seasonal and irregular components are independent (uncorrelated).
seas variance: Good (0.214)
irregular variance: Good (0.575)
seas/irr cross-correlation: Good (0.674)
Debits:
Summary
Good - In general, good quality seasonal adjustment means that an adequate model of
decomposition was chosen.
Basic checks - The annual totals of the original series and the seasonally adjusted series
match.
definition: Good (0.000)
annual totals: Good (0.001)
Visual spectral analysis - In the original series seasonal and working days peaks are
visually present.
spectral seas peaks: Good
spectral td peaks: Good
Regarima residuals - Residuals are distributed randomly and independently. There are
no seasonal effects, while there is possibility of trading days’ effects in the residuals.
normality: Uncertain (0.037)
independence: Good (0.263)
spectral td peaks: Uncertain (0.016)
spectral seas peaks: Good (0.603)
Residual seasonality - There are no seasonal effects in the seasonally adjusted series,
during the last 3 years, as well in the irregular components series. There are no
indications of residual seasonal fluctuations in the entire series.
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on sa: Good (0.989)
on sa (last 3 years): Good (0.222)
on irregular: Good (1.000)
Outliers – There are no outliers.
number of outliers: Good (0.000)
Seats - Trend, seasonal and irregular components are independent (uncorrelated).
seas variance: Good (0.254)
irregular variance: Good (0.397)
seas/irr cross-correlation: Good (0.353) Chart 1: Non-seasonally adjusted and seasonally adjusted values for goods, credit
0
50000
100000
150000
200000
250000
300000
350000
400000
450000
Goods, credits
Goods, credits-SA
Chart 2: Non-seasonally adjusted and seasonally adjusted values for goods, debit
0
50000
100000
150000
200000
250000
300000
350000
400000
450000
Goods, debits
Goods, debits-SA
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Chart 3: Non-seasonally adjusted and seasonally adjusted values for goods, net
-80000
-70000
-60000
-50000
-40000
-30000
-20000
-10000
0
10000
20000
Goods, net Goods, net-SA
3.2. Services
Trade in services has higher seasonality than trade in goods. For non-seasonally adjusted
series credits’ values, as for goods, are the lowest in the first quarters of the year, being the
highest in the third (influenced mainly by transactions in travel) and fourth quarters (financial
and other business services). The similar pattern may be observed also for debits where,
however, peak values for the year always have occurred in the third quarters. Differences
between adjusted and non-adjusted credit series were the highest for the first quarters (8%),
being around 0% for second quarters, 5% in the third quarters and 2% in the fourth quarters.
For debits differences were more evenly distributed among quarters, being highest in first and
third quarters (4%).
Below the main results of the diagnostics:
Credits:
Summary:
Good - In general, good quality seasonal adjustment means that an adequate model of
decomposition was chosen.
Basic checks - The annual totals of the original series and the seasonally adjusted series
match.
definition: Good (0.000)
annual totals: Good (0.002)
Visual spectral analysis - In the original series seasonal and working days peaks are
visually present.
spectral seas peaks: Good
spectral td peaks: Good
Regarima residuals Residuals are distributed randomly and independently. There are
no seasonal effects, while there is possibility of trading days’ effects in the residuals.
normality: Good (0.231)
independence: Good (0.881)
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spectral td peaks: Uncertain (0.023)
spectral seas peaks: Uncertain (0.082)
Residual seasonality - There are no seasonal effects in the seasonally adjusted series,
during the last 3 years, as well in the irregular components series. There are no
indications of residual seasonal fluctuations in the entire series.
on sa: Good (0.984)
on sa (last 3 years): Good (0.990)
on irregular: Good (1.000)
Outliers - There are no outliers
number of outliers: Good (0.000)
Seats - Trend, seasonal and irregular component are independent (uncorrelated). seas variance: Good (0.496)
irregular variance: Good (0.675)
seas/irr cross-correlation: Good (0.593)
Debits:
Summary:
Good - In general, good quality seasonal adjustment means that an adequate model of
decomposition was chosen.
Basic checks - The annual totals of the original series and the seasonally adjusted series
match.
definition: Good (0.000)
annual totals: Good (0.001)
Visual spectral analysis - In the original series seasonal and working days peaks are
visually present.
spectral seas peaks: Good
spectral td peaks: Good
Regarima residuals - Residuals are distributed normally, randomly and independently.
The uncertainty of the visual assessment of spectral seasonal peaks and peaks of trading
days in residuals means that there can be a possibility of seasonal and trading days’
effects in residuals.
normality: Good (0.617)
independence: Good (0.936)
spectral td peaks: Uncertain (0.017)
spectral seas peaks: Good (0.207)
Residual seasonality - There are no seasonal effects in the seasonally adjusted series,
during the last 3 years, as well in the irregular components series. There are no
indications of residual seasonal fluctuations in the entire series.
on sa: Good (0.930)
on sa (last 3 years): Good (0.544)
on irregular: Good (1.000)
Outliers - one pre-specified outlier of level-shift type (2009Q1).
number of outliers: Good (0.017)
Seats - Trend, seasonal and irregular component are independent (uncorrelated). seas variance: Good (0.419)
irregular variance: Good (0.602)
seas/irr cross-correlation: Good (0.905)
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Chart 4: Non-seasonally adjusted and seasonally adjusted values for services, credit
0
10000
20000
30000
40000
50000
60000
70000
80000
90000
100000
110000
120000
130000
140000
150000
160000
170000
180000
Services, credits
Services, credits-SA
Chart 5: Non-seasonally adjusted and seasonally adjusted values for services, debit
0
10000
20000
30000
40000
50000
60000
70000
80000
90000
100000
110000
120000
130000
140000
Services, debits
Services, debits-SA
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Chart 6: Non-seasonally adjusted and seasonally adjusted values for services, net
0
5000
10000
15000
20000
25000
30000
35000
40000
45000Services, net Services, net-SA
3.3. Income
While income credit series does not characterize with high seasonality, for debit series values
are the highest in the second quarters (because of portfolio investment and to lesser extent
direct investment income, as the dividends are customarily paid by European companies to
the foreign investors in this quarter). For credits differences between adjusted and non-
adjusted values range between 2% and 5% in the first half of the year and between 1% and
2% in the second half. For debits in the second quarters they reach 16-19%, being between
1% and 10% in the remaining quarters.
Below the main results of the diagnostics:
Credits:
Summary:
Good - In general, good quality seasonal adjustment means that an adequate model of
decomposition was chosen.
Basic checks - The annual totals of the original series and the seasonally adjusted series
match.
definition: Good (0.000)
annual totals: Good (0.001)
Visual spectral analysis - In the original series seasonal and working days peaks are
visually present.
spectral seas peaks: Good
spectral td peaks: Good
Regarima residuals - Residuals are distributed normally, randomly and independently.
There are no seasonal effects in residuals.
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normality: Good (0.598)
independence: Good (0.259)
spectral td peaks: Bad (0.002)
spectral seas peaks: Good (0.285)
Residual seasonality - There are no seasonal effects in the seasonally adjusted series,
during the last 3 years, as well in the irregular components series. There are no
indications of residual seasonal fluctuations in the entire series.
on sa: Good (0.999)
on sa (last 3 years): Good (0.871)
on irregular: Good (1.000)
Outliers - There are no outliers
number of outliers: Good (0.000)
Seats - Trend, seasonal and irregular component are independent (uncorrelated). seas variance: Good (0.679)
irregular variance: Good (0.599)
seas/irr cross-correlation: Good (0.445)
Debits:
Summary:
Good - In general, good quality seasonal adjustment means that an adequate model of
decomposition was chosen.
Basic checks – The annual totals of the original series and the seasonally adjusted series
match. definition: Good (0.000)
annual totals: Uncertain (0.012)
Visual spectral analysis - In the original series seasonal and working days peaks are
visually present.
spectral seas peaks: Good
spectral td peaks: Good
Regarima residuals - Residuals are distributed normally, randomly and independently.
There are no seasonal effects in residuals.
normality: Bad (0.000)
independence: Good (0.105)
spectral td peaks: Uncertain (0.013)
spectral seas peaks: Good (0.640)
Residual seasonality - There are no seasonal effects in the seasonally adjusted series,
during the last 3 years, as well in the irregular components series. There are no
indications of residual seasonal fluctuations in the entire series.
on sa: Good (0.490)
on sa (last 3 years): Good (0.980)
on irregular: Good (0.442)
Outliers – two pre-specified outliers - one level-shift (2009Q1), one additive
outlier(2002Q2).
number of outliers: Uncertain (0.033)
Seats - Trend, seasonal and irregular component are independent (uncorrelated). seas variance: Good (0.448)
irregular variance: Good (0.412)
seas/irr cross-correlation: Good (0.439)
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Chart 7: Non-seasonally adjusted and seasonally adjusted values for income, credit
0
10000
20000
30000
40000
50000
60000
70000
80000
90000
100000
110000
120000
130000
140000
150000
160000
170000
180000
Income, credits
Income, credits-SA
Chart 8: Non-seasonally adjusted and seasonally adjusted values for income, debit
0
10000
20000
30000
40000
50000
60000
70000
80000
90000
100000
110000
120000
130000
140000
150000
160000
170000
180000
190000
200000
Income, debits
Income, debits-SA
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Chart 9: Non-seasonally adjusted and seasonally adjusted values for income, net
-35000
-30000
-25000
-20000
-15000
-10000
-5000
0
5000
10000
15000
20000
25000
Income, net Income, net-SA
3.4. Current transfers
For current transfers credit figures are normally the highest in the second quarters, which
results in differences between normal and SA series being between 10% and 14% for these
quarters and more distributed (from 1% to 8%) in the other quarters. For debits seasonality is
less visible with differences between NSA and SA peaking at 7% and highest values
observed normally in the fourth quarters of the year.
Below the main results of the diagnostics:
Credits:
Summary:
Good - In general, good quality seasonal adjustment means that an adequate model of
decomposition was chosen.
Basic checks - The annual totals of the original series and the seasonally adjusted series
match.
definition: Good (0.000)
annual totals: Good (0.005)
Visual spectral analysis - In the original series seasonal peaks are visually present, with
working days peaks being less visible.
spectral seas peaks: Good
spectral td peaks: Good
Regarima residuals - Residuals are distributed normally, randomly and independently.
There are no seasonal effects in residuals.
normality: Good (0.947)
independence: Good (0.308)
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spectral td peaks: Uncertain (0.028)
spectral seas peaks: Good (0.227)
Residual seasonality - There are no seasonal effects in the seasonally adjusted series,
during the last 3 years, as well in the irregular components series. There are no
indications of residual seasonal fluctuations in the entire series.
on sa: Good (0.281)
on sa (last 3 years): Good (0.907)
on irregular: Good (0.200)
Outliers – three pre-specified outliers – two additive outliers (2001Q3 and 2005Q3) and one
of level-shift type (2008Q1).
number of outliers: Uncertain (0.050)
Seats - Trend, seasonal and irregular component are independent (uncorrelated). seas variance: Good (0.627)
irregular variance: Good (0.614)
seas/irr cross-correlation: Good (0.462)
Debits:
Summary:
Good - In general, good quality seasonal adjustment means that an adequate model of
decomposition was chosen.
Basic checks - The annual totals of the original series and the seasonally adjusted series
match.
definition: Good (0.000)
annual totals: Good (0.003)
Visual spectral analysis - analysis - In the original series seasonal and working days
peaks are visually present.
spectral seas peaks: Good
spectral td peaks: Good
Regarima residuals - Residuals are distributed randomly and independently. There are
no seasonal effects in residuals.
normality: Bad (0.000)
independence: Good (0.984)
spectral td peaks: Uncertain (0.022)
spectral seas peaks: Good (0.483)
Residual seasonality- There are no seasonal effects in the seasonally adjusted series,
during the last 3 years, as well in the irregular components series. There are no
indications of residual seasonal fluctuations in the entire series.
on sa: Good (0.309)
on sa (last 3 years): Good (0.550)
on irregular: Good (0.308)
Outliers – two pre-specified additive outliers (2001Q3 and 2005Q3).
number of outliers: Uncertain (0.033)
Seats - Trend, seasonal and irregular component are independent (uncorrelated.
seas variance: Good (0.482)
irregular variance: Good (0.333)
seas/irr cross-correlation: Good (0.440)
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Chart 10: Non-seasonally adjusted and seasonally adjusted values for current transfers,
credit
0
1000
2000
3000
4000
5000
6000
7000
8000
9000
10000
11000
12000
13000
14000
15000
16000
17000
Current transfers, credits
Current transfers, credits-SA
Chart 11: Non-seasonally adjusted and seasonally adjusted values for current transfers,
debit
0
5000
10000
15000
20000
25000
30000
35000
Current transfers, debits
Current transfers, debits-SA
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Chart 12: Non-seasonally adjusted and seasonally adjusted values for current transfers,
net
-25000
-20000
-15000
-10000
-5000
0
Current transfers, net Current transfers, net-SA
3.5. Current account
Total current account is less affected by seasonality than some of the main components with
differences between seasonally and non-seasonally adjusted data ranging from 0% to 4% for
both credits and debits. Seasonally adjusted net current account confirms main finding of
non-seasonally adjusted data, with the highest deficit recorded in 2008Q3, move from current
account deficit to surplus in 2011Q4 (the first surplus since 2002Q3), as well as consistent
surpluses shown from the second quarter of 2012 onwards.
Chart 13: Non-seasonally adjusted and seasonally adjusted values for current account,
credit
0
100000
200000
300000
400000
500000
600000
700000
800000
Current account, credits
Current account, credits-SA
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Chart 14: Non-seasonally adjusted and seasonally adjusted values for current account,
debit
0
100000
200000
300000
400000
500000
600000
700000
800000
Current account, debits
Current account, debits-SA
Chart 15: Non-seasonally adjusted and seasonally adjusted values for current account,
net
-90000
-80000
-70000
-60000
-50000
-40000
-30000
-20000
-10000
0
10000
20000
30000
40000
50000
60000
Current account, net Current account, net-SA
Table 2: Monthly growth rates: direct versus indirect approach:
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4. Conclusions
The method applied to seasonally adjust BoP data was approved by Eurostat staff responsible
for seasonal adjustment, which considered it being in line with the ESS Guidelines on
seasonal adjustment. Therefore, Eurostat started the dissemination of seasonally adjusted
EU28 BoP data in January 2014, while the latest release took place on 7 March, 2014, with
the first estimate of 2013Q4 results.