measuring the crisis-related economic uncertainty with...
TRANSCRIPT
EU WORKSHOP ON BUSINESS AND CONSUMER SURVEYS – Brussels, 14-15 November 2016
Measuring the crisis-related economic uncertainty with Italian survey
data
October, 2016
Luciana Crosilla*, Solange Leproux*
Abstract
The recent literature, taking into account the advantages of data stemmed from the monthly
business and consumer surveys (in particular, their high frequency and their coming directly from
agents who make consumption and investment decisions), proposes some survey-based indicators
to proxy the economic uncertainty. In line with these approaches, in this work we use data coming
from the business surveys carried out by ISTAT to calculate three uncertainty measures for each
Italian productive sector (manufacturing, construction, services and retail trade). More specifically,
we calculate a first uncertainty measure based on the Bachmann’s formula (Bachmann et al., 2010),
a second uncertainty indicator applying a version modified of the Bachmann’s formula (Friz, 2016),
and, finally, a third uncertainty indicator using the Theil’s entropy formula (European Commission,
2013a). This application has had the aim to verify what kind of relation the so-obtained uncertainty
measures present with respect to the positive or negative evolution – with special attention to the
recent economic crisis - of the Italian economy. Although the interpretation of the results obtained
is not straightforward, the analysis seem to suggest that uncertainty measures obtained applying the
Bachmann’s formula and the Theil’s entropy formula on service and retail trade survey data are,
among all, the ones characterized by a higher level of symmetry.
______________________________________________________________________________
* Istat - Short Term Business Statistics Division – Rome, Italy.
The opinions expressed in this paper are solely the responsibility of the authors and should not be interpreted as
reflecting the views of ISTAT or its staff.
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Contents
1. Introduction
2. The theoretical measurement of uncertainty using survey data
3. The Italian survey data used to quantify uncertainty in the country
4. How uncertainty has evolved in the Italian economic sectors: the empirical results
5. Concluding remarks
6. References
Appendix A
1. Introduction
Already in 1979, George Katona, father of the application of psychological principles to
macroeconomics and of the Consumer Confidence Indicator, asked whether survey data could asses
if the consumer really was uncertain and to what degree. As a matter of fact, Katona originally
considered his Confidence Indicator an all-comprehensive measure of the optimism or pessimism,
but also of the certainty or uncertainty that was attached to the expectations of the respondents1. To
recognize this dualism, Katona defined the dimension of consumer confidence as ranging from
optimism and confidence to pessimism and uncertainty2. The perspective that defines uncertainty
as the variability of opinion, but distinct from the overall survey measures of confidence was early
proposed by Lazarsfeld, Berelson and Gaudet3. The authors wrote that “if the [ period-to-period
survey response] turnover is large, it indicates that the opinion or behaviour is unstable. We know
that people feel uncertain”.
Hence, it is so long that the literature has linked the possibility to measure uncertainty to the
use of the survey data as well as the uncertainty concept to the one of opinion variability.
Regarding this, both survey-based and variability-based measures of uncertainty have been
defined in the recent literature. In this work, leaving aside the criticism and the doubts that have
been recently raised about the possibility of using the dispersion as measure of uncertainty4, we
1 “At a time when almost everybody in a representative sample expresses optimistic expectations, or almost everybody
expresses pessimistic expectations, we may say that the people are optimistic or pessimistic. On the other hand, when a
substantial proportion is optimistic and a similar proportion is pessimistic, the people as a whole may be viewed as
uncertain in their expectations about future developments. Thus the smaller the difference between expecting good or
better times and expecting bad or worse times, the greater the uncertainty on the aggregate or macro level. This measure
[is] constructed irrespective of whether optimists or pessimists are more frequent…It indicates not only…that growing
optimism dispels uncertainty but also that growing pessimism dispels uncertainty.” Drawn from “Towards a
Macropsychology”, G. Katona. American Psychologist, February, 1979, p. 122. 2 See “Changing Sources of Economic Uncertainty”. R. Curtin. Paper presented at 26
th CIRET Conference, Taipei,
October 2002. 3 “The People’s Choice”. P. Lazarsfeld, et al. Columbia University Press, New York, 1948
4 Part of the most recent literature about the issue, argues that heterogeneity among firms can invalidate the reliability of
uncertainty measures based on the reply dispersion. Nevertheless, other analysis have shown that the heterogeneity of
3
apply a few of these formulas to verify whether the uncertainty measures based on Italian data
present a symmetric relation with respect to positive or negative economic evolution of the country,
or whether they display an asymmetric behaviour, confirming the results already highlighted by
previous studies.
More specifically, we calculate an uncertainty measure proposed by Bachmann et al. (2010),
where the indicator is defined as the cross-sectional standard deviation of the responses. Since in
this measure the "unchanged" replies are not taken into account, following the latest studies, a
modified Bachmann’s formula measure has been also calculated in which the responses to the
"Unchanged" category are equally distributed among the positive and negative shares. Finally,
according to the European Commission, we have calculated a third measure of Italian economic
uncertainty, using the Theil’s entropy formula.
Moreover, the empirical evolution of the so-obtained indicators is examined in the
manufacturing, services, retail trade and construction sectors of the national economy during the
period 2003Q1-2016Q2. To verify what kind of relation exists between the evolution of uncertainty
among Italian managers and the national economic developments, the sector-level indicators are
analysed against the respective quantitative reference series (year on year Industrial Production
Index, Value Added and Private Final Consumption growth). From this point of view, the period
taken into account appears particularly suitable to the analysis because it includes the 2008 financial
crisis which had a strong, deteriorating effect on the fragile Italian economy.
In basis of the results obtained, we can conclude that the uncertainty measures derived from the
Italian business survey data are generally characterized by unclear behaviors compared to economic
evolution of the country. In particular, the uncertainty indicator obtained applying the Bachmann’s
formula seems not to respect entirely the principle of symmetry of uncertainty: it, in fact, tends to
decrease when the economic evolution is negative, but not when the latter is positive. Moreover,
contrary to what would be expected, the signals are still unclear also when the indicators are based
on the modified Bachmann’s formula and on the Theil’s entropy formula: they only occasionally
show a symmetric behaviour in respect to the respective reference series.
However, summarizing the main results obtained, the measures based on the Bachmann’s
formula and on the Theil’s entropy formula applied to service and to retail trade survey data seem to
be, among all, the ones more in line with the principle of symmetry of uncertainty.
The widespread lack of symmetry of the uncertainty measures here presented, especially during
abrupt economic fluctuations (e.g. recent economic crisis), may be a signal that Italian managers,
not recognizing immediately the economic worsening/recovery, show expectations discordant.
2. The theoretical measurement of uncertainty using survey data
The indicators presented in this analysis are calculated following, in particular, two approaches that
are well-known in the up-to-date literature: the formula of Bachmann et al.(2010) and the formula
of Theil’s entropy5. Moreover, taking into consideration the lack of symmetry in uncertainty
respondents is not so empirically important. Bachmann (2010) has shown that an alternative uncertainty measure, which
conceptually excludes the effect of (e.g. structural or informative) heterogeneity, delivers results similar to the ones
obtained using an uncertainty measure based on dispersion. 5 Formula used in the Quarterly report on the Euro Area, European Commission (2013a).
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changes that has been recently pointed out by certain analysis6, another measure has been used.
More specifically, we have employed the modified Bachmann’s formula in which the “Unchanged”
replies are not ignored, but, on the contrary, are equally distributed among the positive and negative
shares7.
The first measure applied is the Bachmann’s formula. It, in particular, defines uncertainty as:
Ut = √(𝐹𝑟𝑎𝑐𝑡(+) + 𝐹𝑟𝑎𝑐𝑡(−) − (𝐹𝑟𝑎𝑐𝑡(+) − 𝐹𝑟𝑎𝑐𝑡(−))2)
where the expression “Fract” indicates the fraction of positive (+) and negative (-) responses to
the survey question , at time t.
The second method to measure uncertainty that we propose is based on the “corrected” version of
Bachmann’s formula. In the latter, as above mentioned, the “Unchanged” replies are divided
equally among the positive and negative shares in order to simplify the interpretation of the
uncertainty changes. We know, in fact, that the increase or decrease of uncertainty can be really due
to the movement of balance values (e.g. the rising or falling dominance of “increase” over
“decrease” replies, or vice versa), but also to the movement of the share of “Unchanged” replies.
The higher the “Unchanged” fraction, the lower the uncertainty. Thus, changes in uncertainty are
particularly difficult to interpret in particularly when the changes in the “Unchanged” share are
important and frequent.
The modified formula of Bachmann, undoing the effect of the intermediate share, makes the
interpretation of the measure easier.
The corrected positive and negative fractions of the modified Bachmann’s formula are defined as:
Fract*(+) = Fract(+) + 0.5* Fract(=)
Fract*(-) = Fract(-) + 0.5* Fract(=)
Thus the Uncertainty modified indicator will be:
Ut*= √(𝐹𝑟𝑎𝑐𝑡
∗(+) + 𝐹𝑟𝑎𝑐𝑡∗(−) – (𝐹𝑟𝑎𝑐𝑡
∗(+) – 𝐹𝑟𝑎𝑐𝑡∗(−))2)
Finally, to account for all three response options, we also have looked at the Theil’s entropy
formula. The latter has been used as follows:
Te = - Σi(αi Log(αi))/3 i = 1,2,3
6 You can see, for example, European Commission (2013b).
7 R. Friz (2016), Paper presented at the 33rd CIRET Conference in Copenhagen.
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Where αi represents the share of responses to each of the three possible categories of reply
(“Increase”; “Remain Unchanged”; “Decrease”) .
3. The Italian survey data used to quantify uncertainty in the country
This section begins with a description of data used to quantify uncertainty. Following the latest
literature, the replies of managers to the questions about their economic expectations, may be more
or less concordant in their views, depending on the degree of uncertainty about the economic
scenario.
At this aim, the following questions have been investigated:
- for the manufacturing sector, EC question 5:
“How do you expect your production to develop over the next 3 months?”
- for the services sector, EC question 3:
“How do you expect the demand (turnover) for your company’s services to change over the
next 3 months?”
- for the retail trade sector, EC question 4:
“How do you expect your business activity (sales) to change over the next 3 months?”
- for the construction sector, EC question 4:
“How do you expect your firm's total employment to change over the next 3 months?”
The answers to these questions fall into three main qualitative categories: Increase, Decrease and
Unchanged category. All the survey data are available for the period 2003M1 – 2016M8. To assess the
empirical evolution of our survey-based uncertainty indicators, we compare them to the
developments in year-on-year growth of the quantitative reference series for each sector. Indeed, for
manufacturing and construction sector we use monthly Industrial Production Index and Production
Index in construction, respectively; Value Added is used for services and Private Final
Consumption for retail trade sector. All the uncertainty indicators were become quarterly8, which
facilitated the comparison with the reference series. All in all, the time span analyzed is 2003Q1-
2016Q2.
4. How uncertainty has evolved in the Italian economic sectors: the empirical results
In this section, we examine the empirical evolution of the uncertainty indicators calculated
employing both the Bachmann’ formulas (the original as well as the modified one) and the Theil’s
entropy formula.
In particular, we wonder whether the uncertainty measures based on Italian data present a
symmetric relation with respect to positive or negative news on the economic developments of the
8 In order to improve graphic comparison, uncertainty indicators and reference series were become quarterly for
manufacturing and construction sectors, too.
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country, or whether they display an asymmetric behaviour, confirming the results already
highlighted by the previous studies9.
Starting from the uncertainty indicator derived from the manufacturing survey data, Graph.1
shows the uncertainty measure obtained using the Bachmann’s formula, plotted against the annual
growth rate of the Italian Industrial Production Index in Manufacturing. The empirical results seem
to confirm the ones already obtained, for the same economic sector, by the European Commission
at the Euro area level10. In fact, apart from the first period of observation during which the indicator
wigwags up and down (until 2005Q2), the measure tends to decline when the Italian IPI in
Manufacturing shows an upward trend (more specifically, between 2005Q3-2007Q1, more
markedly from 2009Q2 to 2010Q2), but increases when the reference series highlights a
deterioration of the economic environment (2008Q2-2009Q1). However, apart from the local peak
in 2013Q4 (that corresponds to a local trough in the “Unchanged” replies11), the measure seems to
be characterized by a more respectful behaviour of the principle of symmetry of uncertainty over
the final period of observation (mid2010-mid2016).
Source: Our calculations on ISTAT Manufacturing survey-data
To show the net relationship between the uncertainty and its reference series nullifying the impact
on the measure calculation of the “Unchanged” replies, in Graph 2 the development of the indicator
obtained using the modified Bachmann’s formula12
is plotted.
At first sight, the new measure appears to swing more compared to the previous one, in particular,
until the beginning of 2008. The “corrected” indicator seems to mirror very clearly the net effect of
the changes in the “Increase” or “Decrease” fractions occurred over these first years13
. However, the
signals are not entirely clear. In fact, focusing attention on the period between 2008Q3-2009Q4, the
modified indicator decreases in conjunction with the deteriorating of the reference series (that
9 One can see European Commission (2013b).
10 European Commission (2013b).
11 That can be observed in Graph 1, Appendix A.
12 Graphs in Appendix A show, for every sector, the impact of the changes in “Unchanged” share on the uncertainty
measure obtained applying the Bachmann’s formula. 13
It is interesting to note that, just in correspondence of that period, the share of “Unchanged” replies is quite low
(between 60% and 67%). See Appendix for the “Unchanged” replies graphs.
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Graph 1: Manufacturing - Uncertainty Indicator (Bachmann's formula) and Industrial Production Index (year-on-year growth). 2003Q1-2016Q2
Uncertainty Indicator in Manufacturing Industrial Production in Manufacturing (rhs)
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reaches its lowest levels at 2009Q2), then improves, reaching its highest levels (2009Q4), exactly
while the reference series is increasing. Afterwards, it reaches a new local trough at the beginning
of 2011, in correspondence with a downward evolution of the Industrial Production Index, and then
increases again and remains broadly stable until the end of the period taken into consideration.
Overall, we can say that also the uncertainty indicator obtained applying the modified Bachmann’s
formula seems not to respect entirely the principle of symmetry of uncertainty, in particular,
between 2008Q3 and 2009Q4. In fact, it decreases when the economic evolution is negative, but not
when the latter is positive.
Source: Our calculations on ISTAT Manufacturing survey-data
As it is immediately apparent in Graph 3, the uncertainty measure based on Theil’s entropy formula
exhibits a very similar path in respect to that obtained by applying the Bachmann's formula. In fact,
it presents the same asymmetric behaviour, showing a decreasing uncertainty when the situation is
clearly improving (2009Q1-2010Q2) and then an increasing when economic developments are
markedly worsening (2008Q2-2009Q1). After that, first the measure worsens until 2011Q3 and then
increases again reaching a new local peak at 2013Q4. Since then, while the IPI has already entered
in a slight upward trend, it shows a coherent and marked downward evolution.
Source: Our calculations on ISTAT Manufacturing survey-data
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Graph 2: Manufacturing - Uncertainty Indicator (modified Bachmann's formula) and and Industrial Production Index. 2003Q1-2016Q2
Modified Uncertainty Indicator in Manufacturing Industrial Production in Manufacturing (rhs)
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Graph 3: Manufacturing - Uncertainty Indicator (Theil's entropy formula) and Industrial Production Index. 2003Q1-2016Q2
Uncertainty Indicator in Manufacturing Industrial Production in Manufacturing (rhs)
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A similar asymmetric relation emerges also for managers’ expectations which are part of panel of
the construction survey. Graph 4 presents the evolution of the uncertainty indicator based on the
Bachmann’s formula and the Industrial Production in Construction (which is the reference series the
survey is supposed to track). Until the beginning of 2005, the indicator presents an up and down
trend. Afterwards, the measure first decreases, while the economic situation is improving and then
enters in an upward evolution just while the reference series, on the contrary, is worsening
(2007Q3-2009Q1). Starting from mid-2010, the measure fluctuates, remaining broadly stable on
values quite high. Thus, to conclude, also in this case one can note an asymmetric reaction of the
measure: it, in fact, decreases when economic developments are improving, but does not decrease
when they are worsening. That is observable, in particular, in the first part of the time span taken
into consideration.
Source: Our calculations on ISTAT Construction survey-data
In Graph 5, the line of the indicator obtained using the modified Bachmann’s formula appears
higher in the first part of the graph compared to the previous one. It reflects the large share of
“unchanged” replies that characterizes the survey results, in particular, until 2007Q314
. Overall, also
in this case the relation between the indicator and the Production Index in construction seems not to
be in line with the principle of symmetry of uncertainty: after a first period of substantial stability,
from 2003Q1 to 2006Q4, the indicator enters in a downward path (2007Q1-2009Q1) when the
economic situation worsens. After that, the measure increases when the economic outlook becomes
more positive. Starting from the beginning of 2011, the uncertainty indicator appears more
fluctuating and enters in a downward path until the local trough at 2014Q4. That happens while the
economic situation is improving, in particular from 2013Q1.
14
Graph 2 in Appendix A.
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Graph 4: Construction - Uncertainty Indicator (Bachmann's formula) and Industrial Production in Construction. 2003Q1-2016Q2
Uncertainty Indicator in Construction Industrial Production in Construction (year-on-year growth), rhs
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Source: Our calculations on ISTAT Construction survey-data
As Graph 6 shows, with the Theil’s formula the empirical results obtained confirm the asymmetric
relation that has been just observed in the previous graphics. Moreover, one can see that the
measure swings but remains broadly stable starting mid-2011 until the end of the time span
observed.
Source: Our calculations on ISTAT Construction survey-data
A slightly different picture is observable when the uncertainty indicator is based on the service
survey data (Graph 7). When the measure is elaborated using the Bachmann’s formula, the
dispersion among managers’ replies does not increase in worsening periods (between the end of
2007 and the beginning of 2009) and confirms its negative trend, finding itself at a minimum just
when the Value Added in Services reaches its maximum (2011Q1). However, again the respondents
become more discordant in their opinions about the future demand when the Value Added in the
sector shows an economic improvement (2012Q3-2013Q4). Finally, the measure returns to decrease
when the reference series enters in the final rather stable trend.
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Graph 5: Construction - Uncertainty Indicator (modified Bachmann's formula) and Industrial Production in Construction. 2003Q1-2016Q2
Uncertainty Indicator in Construction Industrial Production in Construction (year-on-year growth), rhs
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Graph 6: Construction - Uncertainty Indicator (Theil's formula) and Industrial Production in Construction. 2003Q1-2016Q2
Uncertainty Indicator in Construction Industrial Production in Construction (year-on-year growth), rhs
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Source: Our calculations on ISTAT Service survey-data
* Net of financial services and inclusive of the wholesale and retail trade, repair of motor vehicles and motorcycles
Graph 8 shows the uncertainty measures for the services using the modified Bachmann’s formula.
Overall, also in this case the relation between the indicator and the Value Added in services appears
different. Showing a coherent behaviour, the indicator touches its minimums (2006Q2 and 2007Q2)
when the Value Added reaches its highest levels. However, starting from 2008Q3, it remains
broadly stable on high levels independently of the movements upwards and then downwards of the
Value Added. Apparently, the managers of this sector show themselves continuously discordant in
their opinions both when the economic evolution is negative, but also when it is positive.
Source: Our calculations on ISTAT Service survey-data
* Net of financial services and inclusive of the wholesale and retail trade, repair of motor vehicles and motorcycles
To conclude with the service sector, in Graph 9 the empirical results obtained employing the Theil’s
formula to work out the uncertainty measure are shown. All in all, they appear very similar to the
ones obtained using the Bachmann’s formula (Graph n° 7). Also in this case, in fact, the measure
doesn’t increase when the Value Added decreases and it goes down even while the reference series
is improving (2009Q1-2011Q1). Nevertheless, between 2012Q3 and 2014Q1, the uncertainty
measure based on the Theil’s entropy formula increases when the economic signals improve. The
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Graph 7: Services - Uncertainty Indicator (Bachmann's formula) and Value Added. 2003Q1-2016Q2
Uncertainty Indicator in Services Value added in Services* (year-on-year growth), rhs
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Graph 8: Services - Uncertainty Indicator (modified Bachmann's formula) and Value Added. 2003Q1-2016Q2
Uncertainty Indicator in Services Value added in Services* (year-on-year growth), rhs
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indicator regains a symmetrical behaviour between mid-2014 and mid-2016 showing a negative
trend when a more positive economic evolution seems to become stable .
Source: Our calculations on ISTAT Service survey-data * Net of financial services and inclusive of the wholesale and retail trade, repair of motor vehicles and motorcycles
Looking at the uncertainty measure obtained applying the Bachmann’s formula on the retail trade
survey data (Graph 10), the disagreement among the retailers intensifies in the worsening period
and reaches its peak when the Final Consumption Expenditure reaches its minimum (end
2008/beginning 2009). Then, it remains broadly stable in conjunction with the improvement of the
Final Consumption Expenditure and, starting from 2011Q4, enters in an downward path. In this
period, it points out a more coherent behaviour: the indicator, in fact, does not exhibit the increase
in the uncertainty that should have been observed when the reference series started to decline
(during 2011Q3-2012Q3) and continues to decrease when the Final Consumption Expenditure goes
back to increasing (2012Q3-2016Q1).
Source: Our calculations on ISTAT Retail Trade survey-data
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Graph 9: Services - Uncertainty Indicator (Theil's formula) and Value Added. 2003Q1-2016Q2
Uncertainty Indicator in Services Value added in Services* (year-on-year growth), rhs
-5.0
-4.0
-3.0
-2.0
-1.0
0.0
1.0
2.0
3.0
50
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Graph 10: Retail Trade - Uncertainty Indicator (Bachmann's formula) and Final Consumption Expenditure. 2003Q1-2016Q2
Uncertainty Indicator in Retail Trade Final consumption expenditure (year-on-year growth), rhs
12
A slightly different relation between the retailers’ uncertainty and Final Consumption Expenditure
is pointed out by the measure based on the modified Bachmann’s formula. In Graph 11 the indicator
presents ups and downs between the end of 2006 and the end of 2008, as in the previous picture,
however, later tends not to increase too much when the Final Consumption Expenditure decreases
and remains broadly stable, even if on high levels, showing even falls when the reference series
improves (in 2010Q4 and in 2015Q4).
Source: Our calculations on ISTAT Retail Trade survey-data
Finally, in Graph 12 the indicator elaborated using the Theil’s formula presents an upward trend
until 2009Q1, independently of the reference series movements. After that, it remains rather stable
between 2009Q3 and 2011Q3. Starting from 2011Q4, the indicator seems to respect the principle
of symmetry of uncertainty: it shows a downward trend until the end of the period taken into
consideration in conjunction with the ups and downs of the reference series.
Source: Our calculations on ISTAT Retail Trade survey-data
-5.0
-4.0
-3.0
-2.0
-1.0
0.0
1.0
2.0
3.0
92
94
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100
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Graph 11: Retail Trade - Uncertainty Indicator (modified Bachmann's formula) and Final Consumption Expenditure. 2003Q1-2016Q2
Uncertainty Indicator in Retail Trade Final consumption expenditure (year-on-year growth), rhs
-5.0
-4.0
-3.0
-2.0
-1.0
0.0
1.0
2.0
3.0
-2
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Graph 12: Retail Trade - Uncertainty Indicator (Theil's formula) and Final Consumption Expenditure. 2003Q1-2016Q2
Uncertainty Indicator in Retail Trade Final consumption expenditure (year-on-year growth), rhs
13
5. Concluding remarks
This work involves the calculation of three uncertainty indicators based on Italian survey data.
The measures at sector level are evaluated against the developments of the respective reference
series, using in particular the Industrial Production Index growth for manufacturing sector, the
Production Index growth for construction sector, the Value Added growth for services and, finally,
the Final Consumption Expenditure growth for retail trade sector.
With regard to the characteristics of symmetry of the three measures, our main findings are that
the uncertainty indicator, obtained applying the Bachmann’s formula, seems not to respect entirely
the principle of symmetry of uncertainty: it tends to decrease when the economic evolution is
negative, but not when the latter is positive. However, even the modified Bachmann’s formula and
the Theil’s entropy formula provide results not completely clear. In theory, they would be more
reliable, but the empirical results actually underline behaviours irregular and only occasionally
respectful of the principle of symmetry.
Moreover, some uncertainty measures obtained seem to assume different behaviours in the
course of the period taken into consideration showing themselves more fluctuating in the first part
of the time span and more stable in the second one. This is the case, for example, of the uncertainty
measures obtained using the modified Bachmann’s formula on data of manufacturing and service
surveys (Graph 2 and Graph 8).
As for the behaviour of the uncertainty measures across Italian economic sectors, all in all, the
empirical analysis carried out on data of manufacturing, construction, service and retail trade
surveys shows rather homogeneous behaviours of the three indicators (they do not respect entirely
the principle of symmetry of uncertainty). On the base of the results, we could argue that abrupt
economic fluctuations make the Italian managers unprepared and make their views more discordant.
As a consequence, in conjunction with marked worsening and improvement economic evolutions
the uncertainty indicators present in all the economic sectors considered trends that are generally
hard to reconcile with a symmetric reaction pattern.
However, among the sectors analysed, the ones of services and of retail trade seem to present
the uncertainty indicators more respectful of the principle of symmetry of uncertainty. In particular,
the measures based on the Bachmann’s formula and on the Theil’s entropy formula seem to be the
more coherent. As regards the service sector, the measure shows a symmetric reaction in respect
with the evolution of the Value Added (which is the reference series the survey is supposed to
track) in particular between the end of 2007 and the beginning of 2011. Finally, as regards the retail
trade, the results show a good level of symmetry of uncertainty from the end of 2011 to the end of
the period taken into consideration.
14
6. References
Bachmann, R., Elstner, S. and E. R., Sims (2010), “Uncertainty and Economic Activity: Evidence
from Business Survey Data”, National Bureau of Economic Research, Working Paper No. 16143,
June. (2010, 2012 o 2013?)
Curtin, R., (2002),“Changing Sources of Economic Uncertainty”, Paper presented at 26th
CIRET
Conference, Taipei, October .
European Commission, DG ECFIN (2013a), "Assessing the impact of uncertainty on consumption
and investment", Quarterly Report on the Euro Area, Volume 12 No. 2, 7 -16.
European Commission, DG ECFIN (2013b), "Using survey data for measuring uncertainty",
European Business Cycle indicators, 3rd
quarter, ISSN: 1831 – 5704.
Friz, R. (2016), “Using survey data for measuring uncertainty. Which measure better captures
disagreement in expectations? “, presented at 33rd CIRET Conference, Copenaghen, September .
Fuss, C. and P. Vermeulen, (2004), “Firms’ investment decisions in response to demand and price
uncertainty”, European Central Bank, Working Paper Series No.347, April.
Katona, G. (1979), “Towards a Macropsychology”, American Psychologist, February, p. 122.
Lazarsfeld, P., Berelson,B. and H. Gaudet, (1948), “The People’s Choice”, Columbia University
Press, New York.
Monthly Bulletin (2013), European Central Bank, October, box No.4.
15
APPENDIX A
Source: Our calculations on ISTAT Manufacturing survey-data
Source: Our calculations on ISTAT Construction survey-data
50
55
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70
75
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Graph 1: Manufacturing - Uncertainty Indicator based on the Bachmann's formula and "Unchanged" share. 2003Q1-2016Q2
Manufacturing - Expectations on production - Unchanged (frequence of reply)
Uncertainty Indicator in Manufacturing (Bachmann's formula)
30
40
50
60
70
80
90
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Graph 2: Construction - Uncertainty Indicator based on Bachmann's formula and "Unchenged" share. 2003Q1-2016Q2
Construction - Expectations on employment - Unchanged (frequence of reply)
Uncertainty Indicator in Construction (Bachmann's formula)
16
Source: Our calculations on ISTAT Service survey-data
Source: Our calculations on ISTAT Retail Trade survey-data
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Graph 3: Services - Uncertainty Indicator based on Bachmann's formula and "Unchanged" share. 2003Q1-2016Q2
Services - Expectations on demand - Unchanged (frequence of reply)
Uncertainty Indicator in Services (Bachmann's formula)
35
40
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Graph 4: Retail Trade- Uncertainty Indicator based on Bachmann's formula and "Unchanged" share. 203Q1-2016Q2
Retail Trade - Expectations on business trend - Unchanged (frequence of reply)
Bachmann's formula Uncertainty Indicator in Retail Trade