Master's thesis - Student Positive Awards
Master's thesis - Student Positive Awards
Master's thesis - Student Positive Awards
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Master’s <strong>thesis</strong><br />
The impact of the Belgian political crisis<br />
on Belgian company results:<br />
evidence from stock market reaction<br />
Supervisor: Pr Dr Gani Aldashev<br />
Reader: Pr Dr Bertrand Candelon<br />
Thesis presented by Thomas Jeegers<br />
in order to obtain the titles of<br />
Master 120 en Sciences Economiques<br />
Orientation Générale - Finalité spécialisée<br />
and<br />
Master’s 60 in International Economics Studies<br />
ACADEMIC YEAR 2011-2012<br />
Economics School of Louvain/UCL · Place Montesquieu 3 · 1348 Louvain-la-Neuve<br />
Economics School of Louvain/FUNDP · Rempart de la Vierge 8 · 5000 Namur<br />
School of Business and Economics/UM · P.O. Box 616 · 6200 MD Maastricht
Acknowledgements<br />
It is a sincere pleasure to thank all those who made this <strong>thesis</strong> possible.<br />
First and foremost, I would like to thank Professor Gani Aldashev, my <strong>thesis</strong> supervisor,<br />
for his expert advice on the different topics covered in the coming pages. His support during<br />
the months needed to write this <strong>thesis</strong>, his encouraging comments and his suggestions were<br />
of priceless value. I would also like to thank Professor Bertrand Candelon, not only as the<br />
reader of this <strong>thesis</strong>, but also as my former Professor at Maastricht University, for having given<br />
me the burning desire to analyse further many macroeconomic issues. With regard to this<br />
<strong>thesis</strong>, his sharp understanding of the macroeconomic processes at work and his suggestions for<br />
improvement provided me with expert guidance and enabled me to reach this level of precision<br />
for the different econometric regressions.<br />
In addition, I am grateful to Professor Pierre Giot for his helpful advice concerning the<br />
financial aspects of the analysis driving this <strong>thesis</strong> and to Professor Paul Wynants for his detailed<br />
and clear scrutiny of the Belgian political crisis and without whose help this work would not<br />
have reached such relevancy. Their recommendations certainly contributed significantly to the<br />
completion of this <strong>thesis</strong> and to the insights that were able to be drawn from it.<br />
Moreover, I would like to thank my friends for their comments, for the time they spent on<br />
reading the previous versions of this <strong>thesis</strong> and for their unflinching motivation in the many<br />
projects we undertook together. Their contributions were so varied that I could not rank them,<br />
so I will simply list them in alphabetical order. Grateful thanks to Bastien, Joris, Julien, Kevin,<br />
Maxime, Stéphane, Xavier and last but not least, to Stefanie, my endless source of inspiration.<br />
In addition to that, special thanks to my parents for daily challenging my perspectives for<br />
the future and for their unconditional support over so many years.<br />
Finally, I would like to thank all the people I have met during my travels around the world,<br />
for having broadened my mind on global issues. It gave me the opportunity to take a step back<br />
and think about the Belgian political difficulties from a different angle. I owe them intellectually<br />
much more than I could possibly acknowledge. I hope that I will meet them again and be able<br />
to bring them as much as they brought me.<br />
Thomas Jeegers<br />
ii
Abstract<br />
In 2010-2011, Belgium experienced the longest political crisis of recent history. But how did the<br />
Belgian stock market react to this crisis? Theory suggests that, under the assumption of market<br />
efficiency, any political event should be anticipated and should have no impact on stock prices.<br />
But are the markets really efficient in a period of crisis? Or do they respond to political events<br />
once these events have actually occurred? These are the questions that we will be investigating<br />
in the coming pages.<br />
The Belgian 2010-2011 political crisis 1 gives us a unique opportunity to analyse the economic<br />
impacts of political events in the context of a crisis. This analysis consists of an event study<br />
built upon the Belgian political occurrences relevant to the outcome of the crisis. Unlike some<br />
other similar approaches, we do not analyse the impact of isolated individual events. Instead, we<br />
take advantage of the uninterrupted sequence of events that have shaken the Belgian political<br />
scene by investigating how a series of political events impacts the main indicator of the stock<br />
market of Belgium: the BEL20.<br />
As was underlined by MacKinlay (1997), event studies are particularly useful for such kinds<br />
of dissection of a period, since they reflect the impact of different types of events immediately in<br />
stock and security prices. Abnormal stock returns are, therefore, usually central to most event<br />
studies. However, it is not our purpose to focus on abnormal returns. The objective, instead, is<br />
put on the process of building a relevant political indicator of the Belgian political crisis and on<br />
the analysis of its effect on the daily returns of the BEL20 index, in a well-specified model, free<br />
of endogeneity, of anticipatory movements and robust to heteroskedastic residuals.<br />
Evidence of significant and robust results is provided. Methodical and punctilious, we<br />
tried as much as we could to provide a thorough analysis reflecting the complex reality of the<br />
political world. We place the Belgian political crisis of 2010-2011 in context, give details about<br />
the selection of the events necessary to build the political indicator and justify why we take<br />
particular events into account if their inclusion may be considered subjective. With regard to<br />
the econometric regressions, intermediate steps and results are provided, most of the common<br />
problems for least squares regressions are tested and corrected if necessary and different tests of<br />
robustness are conducted. Finally, we extend the analysis to more sophisticated models in order<br />
to fit the reality of the stock market as closely as possible.<br />
Keywords: financial economics, political crisis, stock market reaction, BEL20, event study.<br />
1 And still on-going at the time this <strong>thesis</strong> was begun.<br />
iii
Contents<br />
Acknowledgements . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ii<br />
Abstract . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . iii<br />
Contents . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . iv<br />
List of tables . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . vi<br />
List of figures . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . viii<br />
List of abbreviations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ix<br />
Introduction 1<br />
1 Literature review 4<br />
2 The Belgian context 8<br />
2.1 Political aspects . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8<br />
2.1.1 Insights into the Belgian political system . . . . . . . . . . . . . . . . . . 8<br />
2.1.2 Brief review of Belgian political history . . . . . . . . . . . . . . . . . . . 9<br />
2.1.3 Political risk . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11<br />
2.2 Economic aspects . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11<br />
2.2.1 Brief review of recent Belgian economic history . . . . . . . . . . . . . . . 12<br />
2.2.2 Macroeconomic situation: some key features . . . . . . . . . . . . . . . . . 13<br />
2.2.3 The BEL20 index . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14<br />
2.3 Insights into the 2010-2011 crisis . . . . . . . . . . . . . . . . . . . . . . . . . . . 15<br />
3 Setting up the indicator 16<br />
3.1 Methodology . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16<br />
3.2 Timespan . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17<br />
3.3 The different political indicators . . . . . . . . . . . . . . . . . . . . . . . . . . . 18<br />
3.4 Computing the returns . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20<br />
4 Significant events 23<br />
4.1 Politically significant events . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23<br />
4.2 Rating agencies’ outlooks and downgrades . . . . . . . . . . . . . . . . . . . . . . 28<br />
4.2.1 Standard & Poor’s . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 28<br />
4.2.2 Moody’s . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 28<br />
4.2.3 Fitch Ratings . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 29<br />
4.2.4 Conclusion about the ratings . . . . . . . . . . . . . . . . . . . . . . . . . 29<br />
4.3 Summary of the events . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 29<br />
iv
v<br />
5 Impact of political events on the Brussels stock market 31<br />
5.1 Theoretical background . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 31<br />
5.1.1 Efficient market hypo<strong>thesis</strong> . . . . . . . . . . . . . . . . . . . . . . . . . . 32<br />
5.1.2 Capital asset pricing model . . . . . . . . . . . . . . . . . . . . . . . . . . 32<br />
5.1.3 Arbitrage pricing theory . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33<br />
5.2 Multiple regression analysis . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 34<br />
5.2.1 Simplistic return-analysis model . . . . . . . . . . . . . . . . . . . . . . . 34<br />
5.2.2 Adding the main political indicator, free of endogeneity, to the model . . 36<br />
5.2.3 Adding the control variables to the model . . . . . . . . . . . . . . . . . . 38<br />
5.2.4 Heteroskedasticity: verification and correction . . . . . . . . . . . . . . . . 46<br />
5.2.5 Autocorrelation: verification for both the returns and the residuals . . . . 48<br />
5.2.6 Anticipation and late reaction effects . . . . . . . . . . . . . . . . . . . . . 49<br />
5.2.7 Robustness of the political indicator: dropping the events, each in turn . 50<br />
5.2.8 Robustness of the political indicator: alternative indicators . . . . . . . . 51<br />
5.2.9 Robustness of the rating dummy: alternative indicator . . . . . . . . . . . 53<br />
5.2.10 Summary of the main model . . . . . . . . . . . . . . . . . . . . . . . . . 54<br />
5.3 Extensions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 56<br />
5.3.1 Testing for unit root . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 56<br />
5.3.2 Error correction model . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 57<br />
5.3.3 Generalised autoregressive conditional heteroskedasticity model . . . . . . 60<br />
5.3.4 Exponential generalised autoregressive conditional heteroskedasticity model 63<br />
6 Discussion 65<br />
7 Conclusion 70<br />
Appendices 73<br />
Bibliography 84<br />
Books . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 84<br />
Articles in journals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 86<br />
Online newspapers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 92<br />
Databases . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 97<br />
Others . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 98
List of Tables<br />
5.1 Regression of the BEL20 daily returns, controlling for interdependence with the<br />
European stock market index Euro Stoxx 50. . . . . . . . . . . . . . . . . . . . . 35<br />
5.2 Instrumental variables (2SLS) regression of the BEL20 daily returns, using an ad<br />
hoc estimator of the political indicator as the instrument. . . . . . . . . . . . . . 38<br />
5.3 Regression of the BEL20 daily returns, adding the square of the daily returns of<br />
the Euro Stoxx 50 index as a regressor. . . . . . . . . . . . . . . . . . . . . . . . 39<br />
5.4 Regression of the BEL20 daily returns, adding an indicator of rating agencies’<br />
modifications in outlook and downgrades as a regressor. . . . . . . . . . . . . . . 40<br />
5.5 Regression of the BEL20 daily returns, adding as a regressor the daily change in<br />
the yield of Belgian government bonds on the secondary market, with one-year<br />
maturity. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 41<br />
5.6 Regression of the BEL20 daily returns, adding the predictability of the political<br />
events as a regressor, measured as a three-day lagged estimation of the variance. 42<br />
5.7 Regression of the BEL20 daily returns, adding the change in the interbank interest<br />
rate (one-year maturity Euribor) as a regressor. . . . . . . . . . . . . . . . . . . . 43<br />
5.8 Regression of the BEL20 daily returns, adding as a regressor the monthly growth<br />
of M3 (free of endogeneity) as an estimator for inflation. . . . . . . . . . . . . . . 44<br />
5.9 Regression of the BEL20 daily returns, on all selected control variables and adding<br />
the squared residuals as a regressor for an heteroskedasticity check. . . . . . . . . 47<br />
5.10 Regression of the BEL20 daily returns, on all selected control variables, with the<br />
residuals robust to heteroskedasticity. . . . . . . . . . . . . . . . . . . . . . . . . 47<br />
5.11 Regression of the BEL20 daily returns, using a one-day lagged version of the main<br />
political indicator as a regressor. . . . . . . . . . . . . . . . . . . . . . . . . . . . 49<br />
5.12 Regression of the BEL20 daily returns, using a one-day anticipated version of the<br />
main political indicator as a regressor. . . . . . . . . . . . . . . . . . . . . . . . . 50<br />
5.13 Regression of the BEL20 daily returns, on all selected control variables, with the<br />
residuals robust to heteroskedasticity and with separate indicators for positive<br />
and negative events. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 51<br />
5.14 Regression of the BEL20 daily returns, on all selected control variables, robust to<br />
heteroskedasticity, using more political events in the political indicator. . . . . . 52<br />
5.15 Regression of the BEL20 daily returns, on all selected control variables, with the<br />
residuals robust to heteroskedasticity and using the “main political indicator 2”<br />
purged from endogeneity. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 53<br />
5.16 Regression of the BEL20 daily returns on all selected control variables, with<br />
the political indicator purged from endogeneity and the residuals robust to<br />
heteroskedasticity, replacing the rating dummy by a more sophisticated indicator. 54<br />
5.17 Vector error correction model, with the residuals corrected for heteroskedasticity. 59<br />
5.18 Generalised autoregressive conditional heteroskedasticity regression. . . . . . . . 62<br />
5.19 Exponential generalised autoregressive conditional heteroskedasticity regression. . 64<br />
vi
A.1 Final results of the main model, corrected for endogeneity and heteroskedasticity:<br />
2SLS regression, using a generated instrumental variable for the political indicator. 83<br />
A.2 Final results of the main model, corrected only for heteroskedasticity: basic OLS<br />
regression, robust to an arbitrary form of heteroskedasticity. . . . . . . . . . . . . 83<br />
vii
List of Figures<br />
2.1 Belgian Public Debt (1981 - 2010). . . . . . . . . . . . . . . . . . . . . . . . . . . 13<br />
4.1 Main Belgian political events against the BEL20 and Euro Stoxx 50 indices daily<br />
returns, April 19, 2010 - December 31, 2010 . . . . . . . . . . . . . . . . . . . . . 30<br />
4.2 Main Belgian political events against the BEL20 and Euro Stoxx 50 indices daily<br />
returns, January 01, 2011 - December 13, 2011 . . . . . . . . . . . . . . . . . . . 30<br />
A.1 Constituency Brussels-Halle-Vilvoorde. . . . . . . . . . . . . . . . . . . . . . . . . 81<br />
A.2 Frequency distribution of the daily returns of the BEL20 over the period: April<br />
19, 2010 - December 13, 2011. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 82<br />
viii
List of abbreviations<br />
2SLS:<br />
Two-stage least squares<br />
APT:<br />
Arbitrage pricing theory<br />
ARCH:<br />
Autoregressive conditional heteroskedasticity<br />
BHV:<br />
Brussels-Halle-Vilvoorde<br />
CAPM:<br />
Capital asset pricing model<br />
CD&V:<br />
Christen-Democratisch en Vlaams<br />
cdH:<br />
Centre Démocrate Humaniste<br />
CRSP:<br />
Center for Research in Security Prices<br />
CVP:<br />
Christelijke Volkspartij<br />
DF-GLS: Dickey–Fuller generalised least squares<br />
DW:<br />
Durbin-Watson<br />
ECM:<br />
Error correction model<br />
EGARCH: Exponential generalised autoregressive conditional heteroskedasticity<br />
EMH:<br />
Efficient market hypo<strong>thesis</strong><br />
Eonia:<br />
Euro overnight index average<br />
Euribor: Euro interbank offered rate<br />
FDF: Front Démocratique des Francophones (before January 2010)<br />
FDF: Fédéralistes Démocrates Francophones (since January 2010)<br />
FFR:<br />
Federal fund rate<br />
GARCH: Generalised autoregressive conditional heteroskedasticity<br />
IID:<br />
Independent and identically distributed<br />
IV:<br />
Instrumental variable<br />
Libor:<br />
London interbank offered rate<br />
MR:<br />
Mouvement Réformateur<br />
MLE:<br />
Maximum likelihood estimate<br />
N-VA:<br />
Nieuw-Vlaamse Alliantie<br />
OLS:<br />
Ordinary least squares<br />
Open Vld: Open Vlaamse Liberalen en Democraten<br />
PS:<br />
Parti Socialiste<br />
RW:<br />
Rassemblement Wallon<br />
S&P:<br />
Standard & Poor’s<br />
sp.a:<br />
Socialistische Partij Anders<br />
Std. Err.: Standard error<br />
VB: Vlaams Block (before November 2004)<br />
VB: Vlaams Belang (since November 2004)<br />
VECM:<br />
Vector error correction model<br />
WLS:<br />
Weighted least squares<br />
ix
Introduction<br />
“The goal in the end is not to win elections. The goal is to change society.”<br />
Paul Krugman, 2012<br />
In 2011, Belgium became “world champion” as the country with the most extended political<br />
crisis, when it took from Iraq the record of the longest period in times of peace without a<br />
federal government. From April 26, 2010, the resignation date of the Leterme II government,<br />
to December 6, 2011, when Elio Di Rupo took the oath as the new Prime Minister, the 589<br />
days 2 during which Belgium lacked a government made of this period a unique, harmful and<br />
interesting political crisis to analyse.<br />
The behaviour of stock markets in difficult political periods or times of war has received a lot<br />
of attention in economic and financial literature over the past 20 years. As identified by Fama<br />
(1990) and evidenced over a longer period by Schwert (1990), more than 40% of the variations<br />
in price on the stock market cannot be explained by real economic activity. Many authors have,<br />
therefore, tried to identify the other variables that can explain the variations in stock prices,<br />
within which the political events are a substantial part. In this paper, we add to this literature<br />
by covering an issue which, to the best of our knowledge, has not been analysed before, i.e. the<br />
impact of the Belgian political crisis (2010-2011) on the Brussels stock exchange main index;<br />
the BEL20.<br />
A stock market approach to the behaviour of a government concedes that the policies it<br />
implements are essential in determining the environment in which investors will conduct their<br />
transactions. These transactions will in turn collectively influence the price, and thus the return,<br />
of a firm’s stock. In the Belgian case, a temporary government was in place during the 2010-2011<br />
crisis, but its purpose was to take care of current and urgent affairs and it was not supposed<br />
to deal with important topics that had been stalemated while the previous government was in<br />
power. Therefore, the environment for investors was, at best, unstable and likely to provoke<br />
uncertainties. Empirical results confirm this instability since we find evidence for significant<br />
reaction in the stock prices concurrent to major political events, during the crisis.<br />
The logic behind event studies 3 is often based on the efficient market hypo<strong>thesis</strong> (EMH),<br />
according to which all available information and expectations are reflected by the prices of the<br />
market 4 . A political event study consists of analysing the reaction of the market (typically the<br />
stock market) after one or several political events that are likely to have an impact on stock<br />
prices. These reactions are typically evaluated through the analysis of abnormal returns within<br />
the period of interest. A literature review on the topic seems to indicate that political event<br />
studies reach more significant results when the political environment is unstable (i.e. during<br />
2 If we consider the federal election of June 13, 2010 as the starting date, as many sources do, then the length<br />
of the crisis amounts to 541 days.<br />
3 See Wells (2004).<br />
4 For further information, see section 5.1.1 or Fama (1970).<br />
1
2<br />
political crises, in highly politically risky environments or in emerging markets). However,<br />
depending on the periods and the markets analysed, evidence is found for both significant effects<br />
of political events on the stock markets and non-significant effects.<br />
The “event window”, as defined by MacKinlay (1997) for an event study, is “the period<br />
over which the security prices of the firms involved [...] will be examined”. In our case, the<br />
key beginning and ending dates are April 26, 2010 and December 6, 2011, as this is the period<br />
characterised by the absence of a government in Belgium. As pointed out by Zach (2003),<br />
not much literature shows direct evidence of a link between political events and stock market<br />
fluctuations. Nevertheless, this is mainly due to the fact that it is typically hard to quantify<br />
political change. This literature, though, can be split up into short-window event studies and<br />
long-horizon studies. Our analysis falls within the first of these groups. Further categorising<br />
our approach, we build an ad hoc political indicator, slightly more sophisticated than a dummy<br />
variable. This approach has not been extensively covered in literature but seems to fit the case<br />
at hand very well.<br />
The aim of this <strong>thesis</strong> is dual. On the one hand, we want to make the <strong>thesis</strong> conclusions<br />
useful for any possible future political crisis. On the other hand, the procedure can be reiterated<br />
for another country, in order to evaluate to what extent the stock market depends on the political<br />
situation. Such information is particularly interesting for potential investors since, as mentioned<br />
in the literature review, some countries are more subject than others to strong variations in<br />
stock returns after significant political events.<br />
The procedure consists of a multi-factor least squares approach, fitting a regression of the<br />
daily returns 5 of the BEL20 index on an indicator of political events. We use several control<br />
variables in the process, in order to explain a bigger proportion of the BEL20 fluctuations and,<br />
therefore, to decrease the variance of the political indicator. We find interesting and somewhat<br />
counterintuitive results. The negative political events (not in favour of the formation of a<br />
government) have a positive impact on the stock market, on the day of the event, and the<br />
positive events have a negative impact. These results are robust to the specification of the<br />
model and remain valid even when we drop some of the political events. Our results show a high<br />
level of significance (within a 2% threshold) and are relatively free of endogeneity, anticipatory<br />
movements and heteroskedasticity.<br />
An empirical work in financial econometrics is never easy to conduct. Every econometric<br />
model has some drawbacks and some weaknesses. While simple models have the benefits of clarity,<br />
which led to their extensive use in literature, their limitations have often been reported. It made<br />
econometricians establish more sophisticated models, which are an interesting complement to the<br />
basic approaches, but they often need many assumptions to fit the complex reality of the political<br />
and financial worlds. In addition, econometrics is a discipline in which a causal relationship can<br />
never be found. We can only draw conclusions on causal inference, that is, a likelihood that<br />
a causal relationship between two or more variables exist. However, these weaknesses do not<br />
discard the econometric approach, as techniques exist to release the implausible assumptions, to<br />
correct for possible bias and ultimately to adequately fit reality.<br />
The source of the data for stock prices is Datastream (2012); the different indicators that we<br />
use as control variables come from the National Bank of Belgium (2012) or from Datastream<br />
(2012); the source of the data for the political events is Faniel (2011), completed by personal<br />
researches and with the help and supervision of Professor Paul Wynants, who teaches Belgian<br />
5 We decided to restrict our attention to an analysis of the daily returns of this index, in order to keep the<br />
focus on one single idea and to conduct a proper investigation into it. We initially also investigated parallel topics,<br />
such as the impact of the political events on the volatility of the BEL20 or on the daily volume of transactions.<br />
But we finally disregarded these additions, because they are of little added value while excluding them allowed us<br />
to keep the light shed on one key aspect of the financial market.
3<br />
Politics at the University of Namur (Belgium).<br />
In chapter 1, we start off by reviewing the state of the art concerning political event studies<br />
and dummy variable event studies, whose combination is the methodology used in this <strong>thesis</strong>.<br />
Chapter 2 provides the reader with the necessary background knowledge about Belgium and its<br />
political system and history, leading to a better understanding of the crisis, of the events that<br />
precipitated it and ultimately of the reason why their impact on the stock market is significant.<br />
In chapter 3, the methodological and practical aspects of the procedure are covered. The detailed<br />
analysis of the political events to be investigated is done in chapter 4. Finally, the econometrical<br />
work is performed in chapter 5. This chapter covers the theoretical foundations of stock return<br />
analyses for the model that we investigate and also covers some extensions to this model. The<br />
complexity of the econometric work is progressive: we start with an overly simplistic model that<br />
gets more and more sophisticated as we go along. We add one by one seven control variables<br />
and justify their addition to the model. We correct for endogeneity of the political indicator<br />
and for heteroskedasticity of the residuals. We also test the robustness of our results according<br />
to different approaches. Finally, the extensions include the application of an error correction<br />
model and of autoregressive conditional heteroskedasticity models. We finish the <strong>thesis</strong> with<br />
a discussion about the relevancy of our methodology. This is done through a series of short<br />
reviews, each concerning a particular topic raised in this study and by establishing the basis for<br />
possible further extensions of the current work.
Chapter 1<br />
Literature review<br />
Event studies are a common procedure in economic, accounting and finance literature, measuring<br />
the impact of an event of interest on some economic variables. The first event study that can be<br />
found in literature probably dates back to the interwar period with Dolley (1933), analysing the<br />
effect of stock splits on stock prices. Over the following three decades, the procedure of event<br />
studies became slightly more sophisticated, including control variables in the analyses. The event<br />
study literature during this period was characterised by authors such as Myers and Bakay (1948),<br />
Barker (1958) and Ashley (1962) 6 . In the late 1960s, event studies started to be commonly used<br />
in relevant literature, with Fama et al. (1969) 7 sparking this habit (Pynnönen (2005)). In the<br />
following few years, the aim of this kind of studies was focused on the fluctuations of security<br />
prices (Binder (1998)). Later, other variables of interest were used in this type of literature,<br />
such as the exchange or interest rates. Event studies were often used to measure the effect of<br />
corporate events on wealth or to test the efficient market hypo<strong>thesis</strong> 8 and they blossomed in<br />
such literature, with at least 565 papers in relevant finance journals between 1974 and 2000<br />
(Aktas et al. (2007)). The results of previous event studies have shown that stock prices respond<br />
to news about corporate control and about policies and macroeconomic conditions that are<br />
likely to affect fundamentals of the economy.<br />
The link between political events (exclusively) and share prices was left aside in literature<br />
until the late 1980s. In the same period, other fields started to be analysed by event studies,<br />
such as insurance literature (Henderson (1990)). Some of the political event studies have been<br />
performed with positive results, under some circumstances and during certain periods. In<br />
this chapter, we review some intriguing papers considering political event studies (mainly the<br />
short-window ones), since this is the procedure that we follow in the remainder of the paper.<br />
Other authors, their procedure and their results will also be introduced in further chapters<br />
(especially in chapter 5) of this <strong>thesis</strong>, where we investigate sharper financial and econometrical<br />
models 9 . Some papers in the coming list are not strictly restricted to political events, but all of<br />
6 Cited by MacKinlay (1997), page 14 and by Campbell et al. (1997), page 150.<br />
7 Fama et al. (1969) used the term “event study” for the first time, describing a new methodology for measuring<br />
the adjustment process of stock prices. Their methodology is very similar to contemporary event studies and<br />
their paper was cited more than 500 times in the following 25 years, showing that their trailblazing approach was<br />
the basis behind the many following event studies.<br />
8 They are called “market efficiency studies” and evaluate the rapidity and accuracy of market reactions to new<br />
information. The EMH states that all available information and expectations are reflected by market prices, and<br />
that any news is integrated without delay into these prices. We investigate the EMH into more details in section<br />
5.1.1.<br />
9 This choice was made for two reasons; firstly it allows us to keep the focus on the link between politics and<br />
the stock market throughout the first four chapters, rather than entering financial and econometrical models<br />
before alluding to the context or explaining our procedure. Secondly it enables the reader to link theory with<br />
empirical evidence of the case under scrutiny, in chapter 5.<br />
4
5<br />
them include at least political events as a potential cause for stock price fluctuations. Moreover,<br />
some studies are not directly applicable to Belgium, as they focus on the impact on the stock<br />
market of elections and of the party holding the power. We will not cover that kind of analysis in<br />
this <strong>thesis</strong>, because Belgium is a particracy (see section 2.1.1 for further details), which implies<br />
that no party fully controls the political scene. Therefore, the approach of using either the<br />
impact of elections or the changes in the main party in the country makes less sense in the<br />
case of Belgium, since the impact is likely to be more limited in a country with this political<br />
structure. However, the results of this literature are worth mentioning, since they evidence the<br />
existence of a relationship between politics and the stock markets. As political event studies<br />
do not show a strong tendency of being cumulative 10 , we cannot build a proper “history” of<br />
this art, i.e. how the procedure evolved over the years. However, most papers rely on the basic<br />
approach of Fama et al. (1969), which has become the most accepted standard in event studies.<br />
Since the cumulative approach is not possible for this topic, we present the existing papers on<br />
the topic in a chronological way.<br />
Niederhoffer (1971) analyses how world events, including some political events, affect the<br />
movements of the stocks in the S&P 500 index. These events are selected according to the<br />
magnitude of their headlines in the New York Times, measured according to the number of<br />
columns in the newspaper. His results show that on days following world events, the returns are<br />
more extreme than on other days. It evidences that the selected events have an impact on the<br />
fluctuations of the stocks included in the S&P 500.<br />
Huang (1985) shows that the party affiliation of the U.S. president yields a difference of<br />
annual rates of return on stocks, concluding that those returns are higher under Democratic<br />
presidents over the period 1929-1980. He also discovered a pattern of four-year cycles in stock<br />
returns in the United States, corresponding to the presidential terms. His result was confirmed<br />
over the period 1888-2001 by Siegel (2002) 11 .<br />
Cutler et al. (1989) investigate the impact of political and world events on the Dow Jones<br />
stock index, using monthly stock returns from 1926 to 1985. They discovered a small and<br />
non-significant impact of main events on stock returns, but their results show a higher volatility<br />
of the returns on days characterised by a major event, on average, than on other days.<br />
Kim and Mei (1994) measure the impact of political risk on asset prices in Hong Kong, over<br />
the period from 1989 to 1993. They show that adding a political risk dummy “significantly<br />
increases the explanatory power of return regressions” and that China’s political policy has an<br />
effect on the stock market of Hong Kong. They also model the fluctuations in volatility as a<br />
function of political events.<br />
Chan and Wei (1996) investigate further this work, focusing on the impact of occurences<br />
of political events on the stock market of Hong Kong. They find an impact on the volatility<br />
of the stocks of several indices. The impact on the returns of the stocks is not significant for<br />
all indices, however. For the index for which they find significance, the direction of the shock<br />
after political events is opposed to what we found for Belgium: they find a positive impact after<br />
favourable events and negative impacts after unfavourable events.<br />
Pantzalis et al. (2000) analyse, from 1974 to 1995 and through an event study, how the<br />
stock market reacts before and after political election dates. Using indices of 33 countries, they<br />
conclude that the stock returns in the weeks preceding the political elections are abnormally<br />
higher than usual. They also find more significant results for countries for which the press has<br />
less freedom.<br />
10 “Cumulativeness” in literature is the fact that each author can rely upon his predecessors and build his<br />
work upon existing literature. Hedges (1987) argues, for example, that literature in physical science is usually<br />
cumulative, while the cumulativeness in social sciences is usually much smaller.<br />
11 Cited in Jones and Banning (2009).
6<br />
Zach (2003) finds evidence that in Israel, returns on stocks are more extreme on days that<br />
follow political events than on days that do not. The fact that Israeli stocks traded only in the<br />
United States do not show such extreme returns make it even more likely that it is indeed the<br />
political events that are the cause of the extreme stock returns movements in Israel.<br />
Abadie and Gardeazabal (2003) try to measure the economic cost of political conflicts<br />
(terrorist attacks) in the Basque country, notably through the stock market. They find significant<br />
and robust evidence that the stocks of the Basque country comparatively underperform during<br />
unstable periods, while they outperformed the non-Basque stocks during the cease-fire period of<br />
1998-1999.<br />
Leblang and Mukherjee (2004) refer to the financial impact of electoral systems, elections,<br />
partisanship and political uncertainty. They analyse how the stock market responds to public<br />
signals. Another point of their argumentation is the fact that when an electoral victory of a<br />
left-wing party is anticipated, then the volatility of stock prices increases 12 .<br />
Aquino (2004) reviews the impact of major events in the Philippines during the period from<br />
July 1987 to May 2004. His results confirm that the stock market is influenced by political and<br />
economic events, and even by natural phenomena.<br />
Chen et al. (2005) analyse further emerging markets, with the case of Taiwan. Using simple<br />
least squares models to analyse the impact of political events on the stock market, they find<br />
significant abnormal returns following these events but using a multivariate regression model,<br />
this evidence is attenuated (except for some important events).<br />
Jensen and Schmith (2005) study the effect of the election of a politician on the stock market<br />
in Brasil. One result they find, which is an expected one, is that electoral uncertainty increases<br />
stock market volatility.<br />
Aktas and Oncu (2006) test the efficient market hypo<strong>thesis</strong>. Their test consists of measuring<br />
the returns of different portfolios of the Turkish stock market after main events in Turkey,<br />
including political events. Their results clearly show no overreaction or underreaction from the<br />
investors. The assumptions of the EMH are, therefore, not violated with this study.<br />
Romero-Meza et al. (2007) investigate the cause of the nonlinearities in the stock market<br />
index in Chili. They call it a “reverse form of event study”, since they search for economic<br />
and political events explaining the stock market index fluctuations. They find that the events<br />
explaining the abnormal fluctuations are mainly regulatory changes and international events.<br />
Benton (2008), along the same lines as Jensen and Schmith (2005), analyse the impact of<br />
campaign commitments on the stock market in Mexico. They find that investors react negatively<br />
to electoral uncertainty, while no significant move is found after electoral commitments of the<br />
candidates.<br />
Ali et al. (2010) assess the short-run stock overreaction in Malaysia. They use political events<br />
to represent domestic events because of the strong political involvement in Malaysia, implying<br />
interconnections between business and politics. Their findings confirm that the Malaysian stock<br />
market overreacts significantly to economic events, which is coherent with the results of Bilson<br />
et al. (2002), showing that, in emerging markets, political risk is an important explanatory factor<br />
in the returns’ fluctuations.<br />
Milyo (2012) summarises previous event studies on possible political corruption, finding<br />
evidence that firms located in the neighbourhood of powerful political actors in the US are<br />
subject to favoritism and are, therefore, more likely to show abnormal returns.<br />
Junqué de Fortuny et al. (2012) conduct a different type of event study. They analyse the link<br />
between political events and political news during the Belgian political crisis 2010-2011. Their<br />
approach is based on an analysis of the opinions contained within the articles of the Flemish<br />
12 Established notably by Herron (2000), Cohen (1993), Alesina et al. (1997), Freeman et al. (2000) and Gemmill<br />
and Saflekos (2000).
newspapers, over the 541 days of the crisis (June 13, 2010 - December 6, 2011). Detecting<br />
the sentiments of 68 000 articles through fully computerised “opinion mining”, they find that<br />
newspapers show peaks of negative or positive opinion, during the hottest moments of the<br />
negotiations. Their approach is thus very different from ours, but their conclusions somehow<br />
complement ours, since they find a correlation between newspapers opinions and the key moments<br />
of the crisis. Since we mainly use newspapers as references for the establishment of a political<br />
indicator (see chapter 4), the work of Junqué de Fortuny et al. (2012) seems to confirm that<br />
newspapers are indeed a reasonably good reflection of the political process in progress.<br />
As one can notice, most of these analyses concern politically unstable or emerging countries.<br />
It is worth mentioning it, since the political instability of the Belgian political scene might cast<br />
doubts on the efficiency of its stock market. Now that we have reviewed the results of authors<br />
on the existing relationship between politics and the stock market, we will dig into the details<br />
of the Belgian structure, both economically and politically. Investigating the particularities of<br />
Belgium will enable the reader to recognise the importance of this relationship for the Belgian<br />
case.<br />
7
Chapter 2<br />
The Belgian context<br />
“There are in Belgium, the Walloon and the Flemish; there are no Belgians.” 13<br />
Jules Destrée (1963)<br />
To gain an understanding of the events of the Belgian political crisis, some background<br />
knowledge about this particular country is needed. In this chapter, we review in turn the political<br />
background in which the longest governmental crisis of history emerged, some key fundamentals<br />
of the Belgian economy and finally, some insights into the political stalemate of 2010-2011.<br />
2.1 Political aspects<br />
In order to correctly understand the political crisis that shook Belgium from April 2010 to<br />
December 2011, one needs to understand how Belgium is ruled and especially, the particular<br />
history of the country. This section is heavily based on Delwit et al. (1999) and Deschouwer<br />
(2009), which are two of the few references giving the opportunity to understand how the Belgian<br />
political system has been forged over the years. We first briefly review the Belgian political<br />
system, then we draw attention to some milestones in the political history of Belgium. In no<br />
way do we claim to be exhaustive about any of the topics raised in this section; the objective is<br />
rather to provide the reader with the necessary background knowledge about Belgian politics to<br />
fully understand the extent and the interpretation of the analysis at hand.<br />
2.1.1 Insights into the Belgian political system<br />
“In Belgium, the political system reflects, as elsewhere, the social complexity.”<br />
Pascal Delwit et al. (1999)<br />
Understanding the underlying reasons for the political crisis in Belgium is a tough task if one<br />
does not know how complicated the Belgian political structure is. Based on a federal parliamentary<br />
democracy and under a constitutional monarchy, Belgium has one central government in<br />
addition to which there are three regions, each with a government responsible for many essential<br />
matters, such as education, environment or public health. These regions are the Walloon Region,<br />
the Flemish Region and the Region of Brussels-Capital. A federal state is based on the rule of<br />
equity. In Belgium, this rule of equity exists, but only within each community or each region<br />
(Delwit et al. (1999)).<br />
13 Originally in French: “Il y a en Belgique, des Wallons et des Flamands; il n’y a pas de Belges.”<br />
8
9<br />
There are three communities; Flemish, French and German-speaking (one for each of the three<br />
national languages; Dutch, French and German), but in each of these communities, municipalities<br />
offering their public services also in some or all of the other national languages exist. To be<br />
exact, 25 municipalities benefit from these language facilities 14 . In addition to the three regions<br />
and the three communities, Belgium is also divided into four language areas; the Dutch language<br />
area, the French one, the German one and Brussels, which is bilingual (French/Dutch).<br />
The form of government in Belgium is based on group representation, a typical form for very<br />
divided societies, called “consociationalism” (Deschouwer (2009)). This scheme is designed to<br />
avoid conflicts and requires the parties involved to agree or to face a standstill for the matters<br />
concerning them all. Yet, the parties are usually given a large autonomy. Belgian federalism can<br />
be termed confrontational federalism 15 . Indeed, the two big linguistic communities make it hard<br />
to manage the equilibrium. Belgium is, therefore, subject to continuous identity and community<br />
crises.<br />
The proportional representation characterising the Belgian political scene has led to a<br />
“particracy” system, a government where different parties have a significant influence on the<br />
political process. In Belgium, the parties are the most influential political actors (Deschouwer<br />
(2009)). Finally, three historical political pillars exist; Social Christian, Socialist and Liberal 16 .<br />
2.1.2 Brief review of Belgian political history<br />
“When Belgian independence was declared, language reflected social-class differences more than a<br />
cultural cleavage.”<br />
Robert Mnookin (2007)<br />
Since its foundation, Belgium had a composite population. Built as a buffer between different<br />
rival countries and not according to a nationalistic movement as was the case for Italy or Germany,<br />
it has long been considered as divided between the Flemish and the Walloons. Belgium has a<br />
long history of internal conflicts, however these never became violent.<br />
Broadly speaking, during the first century of its existence, the elite in Belgium were all<br />
French-speaking, no matter whether they were Flemish, Walloon or inhabitants of Brussels.<br />
During the 20 th century however, the Flemish grew in importance, as Flanders rose. In 1970,<br />
the federalisation of the State took place with the first State reform, establishing cultural<br />
communities, at the behest of the Flemish.<br />
The political dualisation of Belgian society dates from the late 19 th century 17 , when two<br />
political structures developed; one Catholic, the other socialist. It was only in 1954 that a party,<br />
the Christelijke Vlaamse Volksunie (fast abandoning the Christian denomination), was built<br />
around a federalist structure. They revendicated a two-sided federal State, with Brussels as<br />
federal district. Its growth was important in the 1960s and the early 1970s while another party<br />
grew in parallel; the Front démocratique des Bruxellois (later renamed Front démocratique des<br />
Francophones (FDF), then Fédéralistes Démocrates Francophones in January 2010), fighting for<br />
the rights of the French speakers in Brussels. The third regional party to rise during this period<br />
(in addition to the VU, in Flanders, and to the FDF, in Brussels) is the Rassemblement Wallon<br />
(RW), in Wallonia. The RW was established in 1965 to protect the interests of a declining<br />
Wallonia, but this party no longer exists today. There was a turning point in the late 1960s,<br />
14 Figure A.1 on page 81 illustrates the proportion of native French-speakers in the Brussels-Halle-Vilvoorde<br />
(BHV) constituency. One can notice on this figure how diverse the population in the area around Brussels is.<br />
15 Originally “fédéralisme de confrontation” by Delwit et al. (1999), p.57.<br />
16 The parties representing these pillars notably established together the consociational logic ruling the country,<br />
after World War I (Deschouwer (2009)).<br />
17 The coming paragraph is based on Delwit et al. (1999), pages 113 to 153.
10<br />
when the decline of the historical parties started, leaving room for another type of dualisation on<br />
the Belgian political scene. The Christian Social Party 18 was the first one to break up because<br />
of internal disagreements between the Flemish and French-speaking sides. The move of the<br />
French-speaking section of the Catholic University of Louvain from Flanders to Wallonia, in<br />
1968, was major evidence of the split. The political environment of the 1970s saw another<br />
important change; the existence of a different dominant party in each of the three regions (the<br />
Socialist Party in Wallonia, the FDF in Brussels and the CVP in Flanders).<br />
In the early 1980s, two ecologist parties were founded in Belgium; Agalev (today known<br />
as Groen!) and Ecolo. In addition to these new ones, at about the same period, Belgium<br />
also saw the establishment of far-right parties. In Flanders, in 1979, it was the Vlaams Block<br />
(VB), built from a cartel between two Flemish parties; the Vlaams Nationale Partij and the<br />
Vlaamse Volkspartij. Distinguishing features of the Vlaams Block were notably an elitism based<br />
on nationality and a strong Flemish patriotism. This party quickly rose in Antwerp, then in the<br />
whole of Flanders. In the French-speaking Community, the Front National is another far-right<br />
party, founded during the same period. It grew over the following few years, but it never held a<br />
substantial share of the government.<br />
The 1990s, and in particular the elections of 1991, fragmented the Belgian political scene.<br />
Many small parties rose, while the three historical Belgian political families lost a significant<br />
share of their voters. This fragmentation increases all along the decade (Delwit mentions,<br />
in Jaumain (1997), a record number of candidates for the elections of 1995) and reaches its<br />
maximum at the turn of the century (Delwit (2003)). The years 1996-1997 know a deep evolution<br />
of the Belgian structure, as a consequence to the shocks and traumatisms of Belgian society<br />
during this period (Mabille (2000)). A new era begins for the country, implying a different way<br />
to look at the political scene.<br />
The tensions between the French-speaking and Flemish Communities did not decrease in<br />
the 2000s. In October 2001, a new centre-right Flemish nationalist party, the Nieuw-Vlaamse<br />
Alliantie (N-VA), was replaced from its predecessor, the Volksunie. The N-VA craves an<br />
independent Flanders, which would be part of the European Union. In 2004, the Vlaams Block<br />
renamed itself Vlaams Belang (Erk (2005)). Together, the VB and the N-VA form the main<br />
secessionist right-wing Flemish parties, wishing for Flanders to be directly represented in the<br />
European Union (Rochtus (2010)). With the rise of the N-VA, a new page has been turned,<br />
since a democratic Flemish-nationalist party enjoys success based on its secessionist objectives,<br />
as Rochtus (2010) states, “contrary to the Vlaams Belang which is assumed to thank its previous<br />
successes to its xenophobic slogans”. The leading role of the N-VA on the political scene in the<br />
late 2000s is largely attributed to its main charismatic figure and leader: Bart De Wever. He<br />
also played, as we will see, a meaningful role in the 2010-2011 Belgian political crisis.<br />
Since its establishment, the country has undergone six State reforms, each of which took place<br />
within the last 42 years; in 1970, 1980, 1988-1989, 1993, 2001 and 2011. Let us briefly overview<br />
the main modifications resulting from each of these reforms 19 . In 1970, the three “Cultural<br />
Communities” were established, corresponding to the current Communities of the country.<br />
The National Parliament was divided into two language groups and a French-speaking/Dutchspeaking<br />
parity was imposed on the Council of Ministers (with the exception of the Prime<br />
Minister). Each language group could also, from this reform on, resort to an “alarm bell” if<br />
a proposed law would hurt its interest or disturb the good functioning of the country 20 . In<br />
1980, the power of the two main regions was enhanced, allowing their decrees to have the same<br />
18 “Christelijke Volkspartij” (CVP) and “Parti Social Chrétien”, respectively in Dutch and in French.<br />
19 We are mainly based on Rochtus (2010) for this part of the historical analysis.<br />
20 In april 2010, this procedure was used three days after the fall of the government (see section 4.1 for more<br />
details).
11<br />
value as federal law. The “Cultural” denomination of the Communities was abandoned, as their<br />
competences increased. In 1993, the Constitution was amended, giving more freedom to the<br />
Regions and Communities. The reforms of 2001 and 2011 gave even more power to these Regions<br />
and Communities and the recent reform also established the split of the BHV constituency.<br />
From 1991 to 2007, four governments reached the term of their four-years mandate, testifying<br />
to a relative political stability (Deschouwer (2009)). From June 2007 to December 2007, the<br />
country was shaken by another political crisis. This one was based on the question of whether,<br />
and to which extent, another State reform was necessary. The two opposing views on the topic<br />
were held by the Flemish, on the one hand, claiming that reforming the State would lead to a<br />
better governance of the country, and the French-speaking parties, on the other hand, fearing an<br />
eventual split of the country (Rochtus (2010)). The years following this period were characterised<br />
by political instability, as several governments (including some “interim governments”) were<br />
in place: Verhofstadt III, Leterme I, Van Rompuy I, Leterme II. Doubts have been expressed<br />
about the relevancy of Belgian federalism, notably because of the series of state reforms and the<br />
continuous Belgian political instability. It is beyond our scope to analyse whether these doubts<br />
are justified. Instead, we will investigate the impact of this political instability on the stock<br />
market. But before doing so, we investigate Belgium’s political risk and economic background,<br />
to which we now turn.<br />
2.1.3 Political risk<br />
Though this complex structure and wavering history might darken the functioning of the country,<br />
the political risk associated with the country is actually in the same category as other West-<br />
European countries. According to the PRS Group (2011), establishing yearly country reports<br />
for a hundred countries all over the world, the political risk of Belgium is not especially high. In<br />
particular, in 2010, Belgium had the twentieth lowest political risk in the world, halfway between<br />
its neighbours the Netherlands and France (respectively the world’s 5 th and 34 th lowest), and<br />
equivalent to the one of Germany. The PRS Group forecasts the risk of turmoil in international<br />
business, which is based on probable regime scenarios and on types of government interventions<br />
and it has estimated Belgium as a “low risk” country.<br />
Rating agencies play a large role in estimating a country’s risk. Those agencies are of even<br />
greater interest for the purpose of this <strong>thesis</strong>, since agencies’ notations have a direct impact<br />
on the price of a country’s company stocks. The three main rating agencies are Standard and<br />
Poor’s, Moody’s and Fitch. As an example, in mid-December 2010, Standard & Poor’s warned<br />
the Belgian interim regime that it might downgrade Belgium if the setting up of a government<br />
continued to be delayed (L’Echo (May 7, 2011)). This threat remained pending for almost a<br />
year but was finally executed at the end of November 2011; Belgium was downgraded from<br />
“AA+” to “AA” in S&P’s notation (L’Echo (November 26, 2011)). Such kind of events will be<br />
included in our analyses of the stock market (see section 4.2 for further details).<br />
2.2 Economic aspects<br />
In this section, we review some macroeconomic indicators of the state of the Belgian economy,<br />
at the beginning of the crisis (2010). We also introduce some background about the economic<br />
history of the country, in order to better appraise the current situation.
12<br />
2.2.1 Brief review of recent Belgian economic history<br />
The context leading to the multiple crises and reforms of the past few decades in Belgium is<br />
intrinsically linked with the economic background of the country. Let us briefly review some of<br />
the main features of it, with a focus on the regional development of Belgium.<br />
Generally speaking 21 , after World War II, Belgium experienced thirty years of growth with<br />
low employment. This rise suddenly stopped at the end of the 1970s, as a consequence of<br />
the oil crisis and the increase in prices. The change was also characterised by the end of the<br />
Bretton-Woods era, and therefore the end of the convertibility of the American dollar into gold<br />
(August 15, 1971). The oil crisis led to a situation of stagflation in Belgium during the mid-1970s,<br />
notably because of its foreign dependence in the energy sector. This crisis significantly shook the<br />
Belgian economy, and is a considerable break in its history. In the 1980s, a social era began in<br />
Belgium, bringing with it higher wage demands and therefore inflation. In face of this rampant<br />
inflation, a minimum level of unemployment was used by companies, as a way to cap wage<br />
demands. Unemployment rose from 2% to 11% from 1970 to 1982. In 1982 and 1984, different<br />
mechanisms were used to help the economy to bounce back, including a devaluation of the<br />
Belgian franc. As a result, Belgium recovered some competitiveness but the imposed austerity<br />
resulted in an increase of the public-sector debt while investment fell. The drop in investment<br />
was also due to the sudden rise of interest rates, giving incentives to the owners of capital<br />
not to invest in the real economy but in monetary markets. In the 1980s, as a consequence<br />
to the baby-boom, a strong intensification of unemployment arose. The following years are<br />
characterised by a Europeanisation process and more generally by globalisation, allowing the<br />
country’s economy to bounce back. With regard to Belgian monetary policy, it was relinquished<br />
to the European System on June 1, 1998 and the Euro was adopted on January 1, 1999.<br />
If we turn to the picture within the country 22 , we can notice that Wallonia was dominant (in<br />
terms of regional GDP) until the 1960. In this period, simultaneously Flanders caught up with<br />
Wallonia and the industrial sector, mostly constituted of coal mining and the metal industry<br />
and mainly present in Wallonia, started declining. This fall, affecting most industrial regions of<br />
the European Union, brought about many job losses. Flemish politicians were claiming more<br />
autonomy for the Regions, in order for Flanders to stop subventionning Wallonia. From the<br />
mid-1980s to the mid-1990s, the growth of Flanders was higher than that of Wallonia and it<br />
resulted in a much higher GDP in the northern part of the country. This period represented a<br />
significant modification in the development of the country; in particular, Flanders previous to<br />
the 1950s was known to be mostly agrarian, while Wallonia was already more industrialised.<br />
From the end of the 1990s to the end of the 2000s, the growth rate of both regions did not<br />
differ widely, but their share in the Belgian GDP showed a steady gap. Over the same period,<br />
the share of Wallonia in the Belgian GDP fluctuated from 23% to 24%, while that of Flanders<br />
was between 57% and about 58% 23 . For the year 2005, if we normalise the EU27 PIB/capita<br />
average at 100, Flanders lies at 120.1 while Wallonia reaches only 87.5 24 . Finally, Quevit (2010)<br />
concludes that the regional transfers and the opinion of Wallonia firmly established in Flanders<br />
are largely exaggerated and do not correctly reflect the reality.<br />
21 The coming paragraph mainly relies on Savage (2004) and Maes (2010).<br />
22 The coming paragraph mainly relies on Quevit (2010) and Rochtus (2010).<br />
23 Source: own computation based on Eurostat database (European Commission (2012)).<br />
24 Source: Eurostat 2007, cited in Quevit (2010).
13<br />
2.2.2 Macroeconomic situation: some key features<br />
Globally speaking, the Belgian economy performs well, but different negative trends imply<br />
potential risks for Belgium (European Commission (2012)). Let us investigate some key macroeconomic<br />
features of the country, that are of interest to help us comprehend the situation of<br />
Belgium for the coming analysis. We review first the public-sector debt of the country, which is<br />
key to understanding the reasons behind the downgrades of the main rating agencies. Then, we<br />
turn to a problem that might cast some doubts on the future growth of Belgium: its decreasing<br />
competitiveness due to its labour market. Finally, we review an important element of Belgium’s<br />
international positioning: its trade openness. As for the section about the political system<br />
of the country, we do not aim to be exhaustive, but just to briefly cover some aspects of its<br />
macroeconomic position, in order to be able to grasp the in-depth analysis of the following<br />
chapters.<br />
Considerable public-sector debt<br />
Peeking at the 2010 financial situation of Belgium, one will notice a public-sector debt burden<br />
problem. The European Commission identifies it as the main source of internal imbalances for<br />
Belgium (European Commission (2012)). The IMF remind us that at the beginning of 2011,<br />
Belgium had the third largest public debt-to-GDP ratio in the Eurozone, just after Greece and<br />
Italy (International Monetary Fund (2011)). At the end of the year it became the fifth largest<br />
(with Ireland and Portugal coming ahead) (European Commission (2012)). The Belgian public<br />
debt has lain above 88% of GDP for 30 years (with the exception of 2007).<br />
Figure 2.1: Belgian Public Debt (1981 - 2010).<br />
Source: own computation based on National Bank of Belgium data.<br />
We can see on figure 2.1 that public debt reached its peak at 137.8% of GDP in 1993 and<br />
decreased regularly from then until 2007, when the tendency was inverted. It then climbed back<br />
to reach 95.9% in 2010 (and 98.2% in 2011). It is also worth noting that only 3% of this debt is<br />
denominated in foreign currencies and that the largest share (about 90%) of this burden is held<br />
by the federal government (International Monetary Fund (2011)).<br />
Even though its public sector debt is considerable, Belgium was well rated by the main<br />
rating agencies, before the 2010-2011 crisis: just one grade under the top AAA-rating. As we<br />
will see, this grade was reviewed by all three rating agencies in 2011 and 2012.
14<br />
Weaknesses in its external competitiveness<br />
Over the decade before the financial crisis of the late 2000s, Belgium progressively lost an<br />
important share of its external competitiveness (European Commission (2012)). In 2011-2012,<br />
Belgium is ranked 15 th out of 142 by the Global Competitiveness Index, but has some weaknesses<br />
with regards to its labour market efficiency. In particular, it is ranked 129 th for its flexibility<br />
of wage determination and 131 th for its hiring and firing practices (World Economic Forum<br />
(2011)). The European Commission reports that these weaknesses are due to the restrictive<br />
labour regulation of Belgium: a rigid labour market, combined with a “highly structured wage<br />
bargaining system” (European Commission (2012)). The IMF testifies that Belgium has lost,<br />
like other developed countries, market share (due to its lack of competitiveness), but this is not<br />
particular to the Belgian case (International Monetary Fund (2011)). However, the IMF also<br />
establishes that the loss of Belgian competitiveness was caused by high labour costs.<br />
Trade openness<br />
After World War II, Belgium greatly expanded its trade relations beyond the national border<br />
(Maes (2010)) and became a largely open economy. It explains why “[t]he Belgian economy was<br />
harder hit by the international economic crisis than some other countries (Buyst et al. (2005),<br />
p.216)” 25 . It is worth mentioning, though, that the Belgian share in total exports have been<br />
globally declining for the past few decades, in line with trends in many Eurozone’s countries<br />
(International Monetary Fund (2011)), but it does not change its status of open economy.<br />
Since a substantial part of the activity of the BEL20 companies is pursued cross-border, the<br />
political crisis is not supposed to have a significant impact on their results.<br />
2.2.3 The BEL20 index<br />
The BEL20 is a real-time index, constituted of 20 leading firms in Belgium, i.e. (at the beginning<br />
of the crisis) AB Inbev, Ackermans & van Haaren, Ageas (formerly known as Fortis), Befimmo-<br />
Sicafi, Bekaert, Belgacom, Cofinimmo-Sicafi, Colruyt, Delhaize Group, Dexia, GBL, GDF Suez,<br />
KBC, Mobistar, Nyrstar, Omega Pharma, Solvay, Telenet Group, UCB and Umicore 26 . According<br />
to Euronext, these are the most liquid Belgian shares on Brussels stock market. The firms in<br />
this index must never be more than 20 in number. They have a different weight in the value of<br />
the BEL20, but none of them can weigh more than 15% of the total.<br />
The original value of the index was 1000, on December 30, 1990. It was 2665.34 on April 26,<br />
2010 (date retained as the beginning of the political crisis) and 2086.05 on December 6, 2011<br />
(date retained as the end of the political crisis).<br />
25 Cited by Maes (2010).<br />
26 It is worth noting that this constitution of the BEL20 is different from the current one, as since March 19,<br />
2012, Dexia and Omega Pharma left the main Belgian stock index and they were replaced by Elia and D’Ieteren.
15<br />
2.3 Insights into the 2010-2011 crisis<br />
“It is one of the key precepts of the ‘political economy of reform’ that every crisis is an opportunity<br />
to be exploited to drive reform forward.”<br />
Paul Cammack (2009)<br />
We will now review some principles that ruled the 2010-2011 political crisis and that can help us<br />
better understand why the crisis took place and how it could last so long.<br />
Before the crisis even began, a reform had already been envisaged by some, including Kris<br />
Peeters, Minister President of Flanders. He clearly stated that he was looking forward to more<br />
competences relinquished from the federal state to the regions (Quevit (2010)). The Flemish<br />
objective was not exclusively a split of Belgium, as Professor Bruno De Wever states (cited by<br />
Quevit (2010)), but if the Flemish leaders had to choose between the state interests or their<br />
linguistic community’s interest, the community would prevail.<br />
In early 2010, the lack of consensus concerning the Brussels-Halle-Vilvoorde constituency 27<br />
prompted the Open Flemish Liberal and Democrats party (Open Vld) to quit the government<br />
on April 22, 2010. Immediately afterwards, the Prime Minister Yves Leterme handed in his<br />
resignation to King Albert II, but it took effect only four days later. The electorate was then<br />
invited to elect new members to the House of Representatives and the Senate. The previous<br />
election at the time had been held on June 10, 2007. The Belgian political crisis of 2010-2011<br />
thus began after the resignation of the government on April 26 and was confirmed by the Belgian<br />
legislative federal elections on June 13, 2010. From April 26, 2010 to December 6, 2011, a<br />
caretaker government was in charge of dealing with the day-to-day business of state.<br />
Since Belgium is a particracy, there was a large number of different negotiating parties. Their<br />
opposing interests were not easy to conciliate. In total, nine parties took part in the negotiations<br />
but, unable to find a solution, some were removed from the negotiation table. Another feature<br />
that played a crucial role in the problem of setting up a government was the fact that when a<br />
party is offered a first suggestion and accepts it, then it is hard for it to accept a subsequent less<br />
favourable one. The large number of mediators (eight in total) implied that many suggestions<br />
were made and, therefore, the likelihood of finding one that would be accepted by everybody<br />
was low.<br />
In 2011, at the end of the crisis, even more competencies were transferred to the regions and<br />
the BHV constituency was split 28 .<br />
27 In the appendices, figure A.1 illustrates how plurilinguistic this constituency is, which gives an idea of why<br />
finding a solution suiting both the minority of French speakers on Flemish soil (which are the majority in some of<br />
the municipalities concerned) and the Flemish was an uphill struggle.<br />
28 To be exact, the split only came into effect in 2012, whereas the agreement was made in 2011.
Chapter 3<br />
Setting up the indicator<br />
“If a business does well, the stock eventually follows.”<br />
Warren Buffett<br />
The impact of significant political events in times of political crisis on the stocks of Belgium’s<br />
main stock index can be measured in different ways. The most conventional procedure in event<br />
studies consist of analysing the abnormal returns, after a computation of what the “normal”<br />
returns should be (see Brown and Warner (1985), Campbell et al. (1997) or Binder (1998) for a<br />
detailed analysis of classical procedures). However, as Henderson (1990) explains, event studies<br />
exist under different forms and it is not exceptional to see authors using a combination of several<br />
approaches. We believe that the procedure that we use, and that is presented in this chapter, is<br />
the most adapted for the case of analysis and we will strive to justify it as we go along, with<br />
every choice we make.<br />
This chapter starts with a description of our methodology, then lists the different procedures<br />
that we investigate in order to set up the political indicator. We also weigh their respective<br />
strengths and weaknesses, as well as their interests and limitations for the case at hand. This<br />
should, therefore, legitimise why we proceed to a particular regression for a particular analysis<br />
in the chapter 5.<br />
3.1 Methodology<br />
The dummy-variable regression model for event studies is the procedure on which we base our<br />
approach. This model is opposed to classical event studies, more frequently found in literature,<br />
consisting of (i) computing the event window, (ii) measuring the normal returns of a stock<br />
(index) though an “estimation window”, (iii) computing abnormal returns and finally (iv) testing<br />
significance 29 . We chose not to strictly follow the conventional models because the Belgian<br />
political crisis is a unique period and, therefore, the use of an out-of-sample estimation window,<br />
as is the case in most conventional event studies, may not be appropriate. Indeed, we believe that<br />
the political uncertainty due to the absence of a government had an impact on the determination<br />
of the stock prices. Therefore, the estimation of the “normal returns” of the BEL20 index, during<br />
the political crisis, cannot be correctly measured by an estimation window prior to April 2010.<br />
The dummy-variable regression model for event studies was first introduced by Karafiath<br />
(1988), then re-used by other authors (notably Aktas et al. (2007)). Basically, this model is<br />
applied in two steps. Primarily, a dummy variable is built, taking value 1 for days belonging to<br />
29 The most detailed procedure of a classical event studies that we found is available in Campbell et al. (1997),<br />
chapter 4.<br />
16
17<br />
the event window (i.e. either solely the days of the event, or some days before and after the<br />
event as well, depending on the context) and taking value 0 otherwise. For our analysis, we<br />
explain how we build the indicator in section 3.3 and how we select the events in chapter 4.<br />
Once we have built the dummy variable, the second step consists of measuring the impact of this<br />
variable on the returns of a firm, free of the movements of a previously selected market-portfolio.<br />
Formally, we regress the following equation:<br />
where<br />
• R i,t is the return of firm i, at time t,<br />
• R m,t is the return of the market-portfolio m at time t,<br />
• D t is the dummy variable,<br />
R i,t = α i + β i R m,t + γ i D t + ɛ i,t (3.1)<br />
• α i , β i and γ i are the coefficients estimated by the model to fit the regression and<br />
• ɛ i,t is the residual of the regression, for firm i and at each point in time.<br />
As Aktas et al. (2007) establish when they present the same model, γ i can be used as a measure<br />
of “abnormal returns”. This model usually sets as standard assumptions the independence and<br />
identical distribution of the disturbance ɛ i,t . We verify this assumption in section 5.2.5.<br />
For our analysis, we slightly adapt this method, taking the returns of an index (the BEL20)<br />
instead of the returns of a firm as the dependent variable. And as equivalent to the market<br />
portfolio, we take the returns of another index (the Euro Stoxx 50).<br />
As Brown and Warner (1985) state, the model does not need further consideration. In<br />
particular, they establish that “[d]aily data generally present few difficulties for event studies.<br />
Standard procedures are typically well-specified even when special daily data characteristics are<br />
ignored”. However, over the past 27 years (since the publication of Brown and Warner (1985)),<br />
advances have been made on the topic. We will, therefore, add several control variables and<br />
apply procedures to the model in order to correct for endogeneity and heteroskedasticity. We<br />
will also use autoregressive models in order to obtain the best possible fit to our data.<br />
3.2 Timespan<br />
There are 589 days separating April 26, 2010 and December 6, 2011, respectively the fall of<br />
Leterme II’s government and the establishment of Di Rupo I’s government. If we add one week<br />
before this period and one week after this period, in order to take these two important events<br />
into account, the starting and ending dates are April 19, 2010 and December 13, 2011. This is<br />
our “event-window”. We arbitrarily chose one week, because we believe that taking a longer<br />
period would “drown” the political events in a long series 30 and taking a shorter period might<br />
not let us have had enough flexibility when we lag a variable of several days. One week seemed<br />
to be a good compromise between the two.<br />
However, the stock market is open only five days a week and was closed during Easter<br />
Monday and Easter Friday 2011. These two days and the week-ends were the only closed days<br />
30 In other words, a longer period would have meant even more “normal” days for only few days with a significant<br />
political event.
18<br />
over the period of analysis 31 . Subtracting these stock-market free days, we obtain 430 days<br />
relevant to our analysis.<br />
If an event happened when the stock market was closed, we chose to attribute the event to<br />
the next open day. This choice was made in order to correctly assign the impact of the event to<br />
the first moment when the stock market was able react to this event. The same applies if an<br />
event occurred during the night between two days (as was the case for the agreements on BHV).<br />
It is worth noting that we do not take into account a period before the event window as most<br />
of the event studies do. It is not the only approach that differs from conventional event studies.<br />
The justification for this is that we are analysing a period of crisis. Taking a pre-event-window<br />
for computing the “normal return” of the market (frequently used procedure in event studies)<br />
would be an arguable decision. Indeed, it seems possible that the returns in times of political<br />
crisis are different than in times of political stability. We, therefore, chose to use only the period<br />
of consideration (no pre- or post event window period) as we believe that using another approach<br />
could bias the results.<br />
3.3 The different political indicators<br />
In this section, we explain how we build the different political indicators that we will use to<br />
assess the impact of the political events on Brussels stock market. In particular, we will primarily<br />
use (in chapter 5) one main indicator, and then we will test our results with seven alternative<br />
versions of this indicator. In order to better understand the procedure used for the construction<br />
of the different versions of the indicators, refer to the appendices which list the selected dates<br />
day by day and the corresponding value of each indicator.<br />
The easiest way to understand how we built the different indicators is to start with the two<br />
most simple ones. In order to understand the impact of the selected political events on the<br />
BEL20 returns, we would like to differentiate between the events with a negative connotation<br />
for the stability of the country (i.e. events that are likely to push the stock market downward),<br />
from events with a positive connotation (i.e. events that are likely to pull the market upward).<br />
The two basic dummy variables are:<br />
1. “Significant positive event” takes value 1 every time a significantly positive event takes<br />
place (e.g. Johan Vande Lanotte is designated as mediator, the CD&V agrees to start<br />
negotiating without the N-VA, a collective agreement on BHV is reached). Otherwise, the<br />
variable takes value 0.<br />
2. “Significant negative event” is a variable taking value 1 every time a significantly<br />
negative event takes place (e.g. Alexander de Croo leaves the government, the official<br />
resignation of the government, Johan Vande Lanotte resigns from his mission of forming a<br />
government). Otherwise, the variable takes value 0.<br />
These two variables are meant to be used together in the econometric regressions, as they are<br />
complementary. There are 10 days for which significant positive event takes value 1 and 13 days<br />
for which significant negative event does. Therefore, it is respectively 2.33% and 3.02% of the<br />
period we analyse (430 days).<br />
The indicator that we will use the most in our analysis is:<br />
3. “Main political indicator”. This indicator is a combination of significant positive event<br />
and significant negative event. In particular, it takes value 1 when significant positive event<br />
31 Apart from these days, the BEL20 index fluctuated on every day of the period, including on the national day<br />
and for Christmas.
19<br />
has value 1 and takes value −1 when significant negative event has value 1. It takes value<br />
0 when neither of them is positive. Formally:<br />
Main political indicator =<br />
Significant positive event − Significant negative event (3.2)<br />
Since no positive and negative event took place on the same day, over the period we<br />
analysed, this variable has 5.35% of non-zero values.<br />
It is worth justifying the choice of building an indicator that can take only three values<br />
for the analysis at hand. More sophisticated indicators can be easily thought of, such as<br />
indicators that would measure on a scale (from −4 to 4 for example) how good or how<br />
bad a political event is, for the stability of the country. An indicator able to measure<br />
the relative importance of the political events of the crisis would be very interesting, but<br />
extremely arbitrary as well and therefore subject to easy manipulations. In order to limit<br />
as much as possible the “arbitrary” component in the selection of the events, we have used<br />
an indicator that distinguishes only between “significant positive”, “significant negative”<br />
or “non-significant”.<br />
Another interesting indicator would consist of verifying if the significant political events,<br />
regardless whether they are positive or negative, have an impact on the stock market. For this<br />
reason, we computed the indicator:<br />
4. “Significant event dummy”. This indicator is another type of combination of significant<br />
positive event and significant negative event. In particular, it takes value 1 whenever<br />
significant positive event or significant negative event has value 1. It takes value 0 when<br />
neither of them is positive. In other words, it is the absolute value of the main political<br />
indicator. Formally:<br />
Significant event dummy =<br />
Significant positive event + Significant negative event (3.3)<br />
Just as for the main political indicator, this variable has 5.35% of non-zero values.<br />
In order to verify if our arbitrary selection of events (see chapter 4 for more details about it)<br />
is justified, we created a larger version of main political indicator:<br />
5. “All political events”. This indicator includes more events than just those that are very<br />
significant. Instead of having 23 events, we therefore have 40, which corresponds to 9.30%<br />
of non-zero values.<br />
Making inference when the event date is uncertain may be a source of trouble to our analysis.<br />
By uncertain, we mean that newspapers release a piece of information at time t, but the<br />
event might have been known by some investors holding private information at time t − 1.<br />
Fortunately, a procedure exists to solve this problem, as presented by Campbell et al. (1997).<br />
This procedure consists of enlarging the event window, so that it covers two days (day 0 and<br />
day 1). This procedure is double-edged since on the one hand the risk of missing events is<br />
reduced, while on the other hand, the significance may decrease because many days included in<br />
the event window do not correspond to any political events. This procedure has been analysed<br />
by Ball and Torous (1988), who compare it with more sophisticated models including maximum<br />
likelihood estimations. They find that the simple process of enlarging the event window yields<br />
approximately the same results as more sophisticated models. The approach, therefore, seems<br />
worth trying. Following this procedure, we created the following three indicators:
20<br />
6. “Main political indicator 2 ” takes value 1 or −1 when the main political indicator<br />
has this value. But, in addition, main political indicator 2 takes the same value the day<br />
following the event considered.<br />
7. “Significant event dummy 2 ” takes value 1 when the significant event dummy has this<br />
value. But, in addition, significant event dummy 2 takes the same value the day following<br />
the event considered.<br />
8. “All political events 2 ” takes value 1 or −1, as all political events does. But, in addition,<br />
all political events 2 takes the same value the day following the event considered 32 .<br />
Thanks to these different variables, we have relevant building blocks for the analyses of<br />
chapter 5. Some variables, such as significant positive event and significant negative event, share<br />
the qualities of simplicity and clarity, while other variables, slightly less simple, such as main<br />
political indicator 2 avoid the problem of having too few non-zero-valued entries and, therefore,<br />
will not be drowned among too large a number of zero-valued dates.<br />
Let us note, finally, that the different tests that we performed, as a way to “explore” the<br />
topic, included some other variables, which were combinations or slight modifications of the<br />
aforementioned possibilities. We have decided to mention here only the most relevant variables<br />
and to leave aside the recurrent results and the non-informative ones.<br />
As previously mentioned, a summary of the indicators presented in this chapter, and of the<br />
value they take for each of the selected political event, is available in the appendices, at the end<br />
of this <strong>thesis</strong>.<br />
3.4 Computing the returns<br />
As Campbell et al. (1997) put it, focusing on the returns in finance-related topics is justified<br />
since “the return is a complete and scale-free summary of the investment opportunity”. However,<br />
the return on stock prices can be computed according to different processes. The process<br />
chosen for such computation is important because the results of the analysis will depend on<br />
it 33 . Ultsch (2009) summarises three processes used for computing daily returns, and points out<br />
the advantages and the weaknesses of each of them. The simplest one is the arithmetic return<br />
rate. The most used one in recent literature is the logarithm of the ratio of successive prices<br />
or logarithmic return rate. Finally, Ultsch (2009) establishes that these first two ratios have<br />
weaknesses, in particular with regards to series taking occasionally extreme values (compared<br />
to the rest of the series). He, therefore, sets up an alternative way to compute the returns,<br />
called the relative difference, which does not bear the same weaknesses as the other previously<br />
mentioned ratios. This is particularly useful when extreme values are identified in the series.<br />
Let us have a deeper look at each of them.<br />
32 Two precisions are required for the arbitrary computation of this variable. Firstly, when two events follow<br />
each other, e.g. a positive event at time t 1 and another positive event at time t 2, then the indicator will take<br />
value 1 for the time t 1,2,3. In particular, in time t 2, the value of the indicator is only 1 (and not 2 as some might<br />
have thought). However, as there are only four cases like this, for the 40 events selected, the implication of this<br />
choice is not drastic. Secondly, when a negative event (at time t 1) is followed by a positive event (at time t 2), the<br />
values of the indicator are the following: t 1 = −1, t 2 = 1 and t 3 = 1.<br />
33 Even if, as we will see, the difference is negligible for our data.
21<br />
Arithmetic return rate<br />
This first measurement of ratios is done by following the formula:<br />
Arithmetic return t = P t − P t−1<br />
P t−1<br />
(3.4)<br />
Where P t is the closing value of the stock index, on day t. The choice of taking the closing<br />
value, rather than the mean value or the opening one, is done simply to stick to the standard in<br />
financial literature.<br />
This return is also called “simple net return” by Campbell et al. (1997), as opposed to the<br />
“simple gross return” which is the simple net return to which we add 1.<br />
Logarithmic return rate<br />
The most common measure in literature is computed by the following formula:<br />
( ) Pt<br />
Logarithmic return t = ln<br />
P t−1<br />
The logarithmic return is an approximation of the arithmetic one. They do not differ much<br />
from each other for small values. However, when the return is large (i.e. tens of percents, in<br />
absolute value), then using the logarithmic approach allows us to restrain the value of the return.<br />
Moreover, as Cootner (1964) 34 evidenced, the logarithmic return for a stock price follows a<br />
random walk.<br />
Relative difference<br />
The relative difference consists of comparing the price difference from one day to another to the<br />
average of these prices. The exact formula is the following:<br />
Relative difference t =<br />
It can also be expressed more simply, as follows.<br />
1<br />
2<br />
(3.5)<br />
P t − P t−1<br />
( ) (3.6)<br />
Pt + P t−1<br />
Relative difference t = 2 × P t − P t−1<br />
P t + P t−1<br />
(3.7)<br />
The returns computed by their relative difference have the desirable property that they are<br />
contained within a finite range: [−200%, 200%].<br />
Abnormal returns<br />
“Abnormal returns” is a concept that occurs over and over again in literature about event studies<br />
regarding stock returns. Probably one of most influential papers on this topic was the one of<br />
MacKinlay (1997) in which he defines what abnormal returns are and how to calculate them.<br />
Basically, he explains a statistical procedure consisting of defining a market model to measure<br />
the normal returns calculated out of the sample (calculated just before the sample begins for<br />
example). Then, the abnormal return is the disturbance term of this market model when we<br />
apply it to the sample. Formally, the model is set as the following equation:<br />
Abnormal return t = return t − ̂α − ̂β return mt (3.8)<br />
34 Cited in Parkinson (1980).
22<br />
Where<br />
• return t is the return of the stock within the sample,<br />
• return mt is the return of the stock according to the market model,<br />
• ̂α and ̂β are the coefficients estimated by the model.<br />
As Pynnönen (2005) shows, “the traditional event study with non-overlapping event windows<br />
is equivalent to estimating dummy variable regressions over the combined sample and event<br />
windows” and continues “[t]he dummy variable coefficients corresponds to the abnormal returns”.<br />
We will not conduct an exhaustive analysis of abnormal returns for two reasons. Firstly because,<br />
as just mentioned, it is equivalent to our dummy variable approach. Secondly, because doing<br />
this analysis in parallel and comparing it with the dummy variable methodology exceeds the<br />
scope of this <strong>thesis</strong>, but such a work is a possible extension of our work.<br />
Conclusion about the computation of the return<br />
For the coming analyses, we use the logarithmic return as a reference, since it is widely accepted<br />
as the standard in event studies. Moreover, it is worth mentioning that the weaknesses that<br />
it bears (and that the relative difference addresses) are not crucial for the case at hand, since<br />
no value of the BEL20 index can be considered as “extreme” (no value exceeds 10% return<br />
in absolute value on a day-to-day basis and only three values exceed 5% return in absolute<br />
value and on the same basis 35 ). The logarithmic approach, therefore, seems the most suitable<br />
approach.<br />
Let us now digress from finance and econometry for one chapter and investigate in more<br />
detail what the milestones of the Belgian political crisis were.<br />
35 These three values are May 10, 2010 (8.9550%), August 12, 2011 (5.3539%) and September 22, 2011 (−5.4925%).<br />
And even for these values, the relative difference method ends up with very similar results: 8.9490%, 5.3526% and<br />
5.4911% respectively, for each of these three dates.
Chapter 4<br />
Significant events<br />
“One thing is sure. We have to do something. We have to do the best we know how at the moment.<br />
If it doesn’t turn out right, we can modify it as we go along.”<br />
Franklin D. Roosevelt<br />
We will now review all politically significant events that have come up since the beginning of<br />
the Belgian political crisis. The chapter is divided into different sections, within which the events<br />
are classified chronologically. We briefly investigate in turn the events related to the formation<br />
of government then the downgrades of the rating agencies. The dates that will be retained as<br />
a basis for forming our main political indicator of the Belgian political crisis (established in<br />
section 3) are indicated in bold. The selection of these "significant" dates among the elements<br />
listed hereunder has been done according to the importance of the events and under the advice<br />
and supervision of Pr P. Wynants 36 , based on Faniel (2011). In the appendices, each event and<br />
its impact on each of our different political indicators is summarised.<br />
For each event mentioned, we ascribe a relevant source, to which the interested reader can<br />
refer. These references are exclusively quality newspapers (or official sources), a choice made<br />
because newspapers convey one of the main building blocks of public opinion 37 and therefore<br />
are one of the bases for stock investors’ reaction. In order to be as politically-neutral as possible,<br />
we chose Belgian reference newspapers both in French and in Dutch 38 and also added some<br />
international newspapers to complete the analysis. The newspapers are also an interesting source<br />
for the period of analysis since, as Junqué de Fortuny et al. (2012) put it, “Belgium has seen a<br />
unique governmental crisis in 2007-2010 during which both political parties and politicians have<br />
had wide media coverage”.<br />
4.1 Politically significant events<br />
During the major part of the crisis, seven parties were negotiating the formation of the government<br />
(politically from left to right, French-speaking/Dutch-speaking); PS/sp.a, Ecolo/Groen!,<br />
cdH/CD&V, N-VA, i.e. three French-speaking and four Dutch-speaking parties.<br />
From the beginning of the crisis and up to December 6, 2011 eight mediators were<br />
mandated by the King with the ultimate aim of forming a permanent government. Specific titles<br />
36 Teacher of Belgian politics at the University of Namur.<br />
37 It has been established, notably by Savigny (2002), that mass media, and especially the Internet, play a<br />
crucial role in the formation of public opinion. Let us also remember that Junqué de Fortuny et al. (2012) have<br />
found that the Flemish newspaper articles show peaks of positive or negative public opinions concomitantly with<br />
the milestones of the Belgian political crisis 2010-2011.<br />
38 In the same proportion.<br />
23
24<br />
were given to them, in the following order; Bart De Wever as informateur 39 , Elio di Rupo as<br />
préformateur, Danny Pieters and André Flahaut as mediators, Bart De Wever as clarifier, Johan<br />
Vande Lanotte as mediator, Didier Reynders as informateur, Wouter Beke as negotiator, Elio di<br />
Rupo as formateur (La Libre (May 17, 2011)). Various other events in the political arena had a<br />
significant influence and were thus added between these milestones of the Belgian political crisis<br />
of 2010-2011. We also include some less meaningful events, in order to provide a comprehensive<br />
analysis of the progress of the negotiations.<br />
Open Vld’s departure from government<br />
On April 22, 2010, Alexander de Croo, leader of the Flemish liberal party Open Vld, decides<br />
to leave the government after months of unsuccessful negotiations on the BHV issue (Le Soir<br />
(April 22, 2010)). Two days earlier, Jean-Luc Dehaene (Belgian Prime Minister from 1992 to<br />
1999), considers his mission finished, handing in recommendations which could have been the<br />
basis for an agreement between the different parties (Le Soir (April 20, 2010)). Five months<br />
earlier, he had been tasked by the King Albert II, to make a suggestion on the institutional<br />
problems of Belgium, with a particular focus on BHV. In the days following the event, Didier<br />
Reynders is put in charge of finding a solution while the French newspaper Le Monde (April 23,<br />
2010) carries the headline “La Belgique est morte le 22 avril 2010”, “Belgium died on April 22,<br />
2010”.<br />
Fall of the government<br />
On April 26, 2010, the King accepts the government’s resignation (De Standaard (April 26,<br />
2011)). Leterme II’s government had been in charge since November 25, 2009 (Service Public<br />
Fédéral Belge (November 25, 2009)) and now becomes a caretaker government, in charge of<br />
dealing with the day-to-day business of the state but not empowered to do major reforms (The<br />
Guardian (April 26, 2010)).<br />
Massive reaction on the legislative proposal about BHV<br />
On April 29, 2010, almost all French-speaking members of Parliament file a motion triggering<br />
the alarm on the legislative proposal about the splitting of BHV (De Standaard (April 29, 2010)).<br />
Federal legislative elections<br />
The Federal legislative elections take place on June 13, 2010 40 .<br />
Bart De Wever as informateur<br />
On June 17, 2010, the winner of the elections Bart De Wever, leader of the New Flemish<br />
Alliance 41 , is mandated by the King to identify the different possible coalitions (De Tijd (June<br />
18, 2011)).<br />
39 His title, “informateur”, is written in French in most articles about the topic written in English; similarly for<br />
the other titles written in French, such as “pré-formateur” or “formateur”.<br />
40 The results are available at Federal Public Service Home Affairs (June 13, 2010).<br />
41 Originally in Dutch: Nieuw-Vlaamse Alliancie (N-VA)
25<br />
Elio di Rupo as préformateur<br />
On July 8, 2010, after the period given to Bart De Wever for gauging the temperature, Elio<br />
di Rupo is put in charge of forming a government. His main tasks concern notably the public<br />
finances and the extent of the State reform, including the BHV file (Le Soir (July 9, 2010)).<br />
Officially, he truly believes that a solution is possible until September 3, when he will openly<br />
accept his failure (L’Echo (May 18, 2011)).<br />
Refusal of di Rupo’s resignation by the King<br />
On August 29, 2010, the King refuses di Rupo’s resignation (De Morgen (August 29, 2010)).<br />
Danny Pieters and André Flahaut as mediators<br />
On September 4, 2010, King Albert II finally accepts di Rupo’s resignation and mandates<br />
André Flahaut (president of the Chamber of Representatives) and Danny Pieters (president of<br />
the Senate) as mediators (La Libre (September 4, 2010)).<br />
Bart De Wever as clarifier<br />
On October 4, the N-VA holds a conference in which it unilaterally interrupts the negotiations<br />
with seven parties (De Morgen (December 10, 2011)). The next day, the King relieves Flahaut<br />
and Pieters of their mission (De Standaard (October 5, 2010)).<br />
On October 8, 2010, Albert II puts Bart De Wever in charge of the different files. Now<br />
being clarifier, De Wever has ten days to hand in a report based on meetings with the seven<br />
negotiating parties and with the ultimate objective of bridging the differences between each<br />
perspective (Le Soir (October 9, 2010)).<br />
On October 18, 2010, the leader of the N-VA declares "Fabula acta est", literally "the<br />
story is over", quoting the Roman emperor Augustus during his very last days. He expresses a<br />
strong disappointment about the reaction of the three French-speaking parties. On the same<br />
day, the King agrees to relieve him from his mission (BBC News (October 18, 2010)).<br />
Johan Vande Lanotte as mediator<br />
Designated on October 21, 2010, Johan Vande Lanotte gives great hope to the country, as he<br />
is more likely to reach an agreement than the previous mediators (De Tijd (October 21, 2010)).<br />
Unfortunately, he resigns for the first time on January 6 (La Libre (January 6, 2011)) but<br />
finally accepts, under the pressure of the King, to make one more attempt, before definitely<br />
resigning on January 26, 2011 (De Morgen (January 26, 2011)).<br />
Belgian record of the longest political crisis<br />
On December 25, 2010, Belgium beats its own record for the longest duration without any<br />
federal government: 194 days (2007) (La Libre (December 23, 2010)).<br />
European record of the longest political crisis<br />
On January 8, 2011, the European record, previously held by the Netherlands (1977), is taken<br />
by Belgium: 208 days without a government (L’Echo (January 7, 2011)).
26<br />
Empowerment of the temporary government<br />
On February 2, 2011, the King asks Yves Leterme, Prime Minister, to present the budget<br />
guidelines and estimates for 2011, and to take any necessary measure to respond to the European<br />
requests with regard to budgetary policies and structural reforms (De Morgen (February 2,<br />
2011)).<br />
Didier Reynders as informateur<br />
On February 2, 2011, Didier Reynders, former Finance Minister, is named informateur by the<br />
King and has two weeks to report to the King whether there is a possibility of reaching an<br />
agreement (La Libre (February 2, 2011)). A month after his nomination he hands the file over<br />
to his successor Wouter Beke (Le Monde (March 2, 2011)).<br />
Wouter Beke as negotiator<br />
On March 2, 2011, Wouter Beke is entrusted with the mission of negotiating the agreement<br />
on the State reform (Le Soir (March 2, 2011)). Even though he has no official deadline, the<br />
N-VA want to impose one, end of April, but the other Flemish parties are opposed to it (De<br />
Standaard (March 5, 2011)). Some weeks later, on May 12, 2011, he hands in his “note” and<br />
waits for the next person that will be in charge: most likely Bart De Wever or Elio Di Rupo (De<br />
Standaard (May 12, 2011)).<br />
World record of the longest political crisis<br />
On March 30, 2011, after 294 days, Belgium now holds the world’s record for the longest<br />
period without a federal government in times of peace (previously held by Iraq (2009)). The<br />
Flemish newspaper De Tijd contradicts it, claiming that Cambodia holds this record (De Tijd<br />
(March 30, 2011)) even though it has been widely recognised and even attested by the Guinness<br />
World Record Book (De Morgen (April 19, 2011)).<br />
Elio di Rupo as formateur<br />
On May 16, 2011, the King accepts the note of Wouter Beke and his request to relieve him. In<br />
an eighth attempt, the King tasks Elio Di Rupo with forming a government (De Standaard (May<br />
16, 2011)). On July 4, the French-speaking socialist president hands in a 111-page long note,<br />
based on his contacts with the nine parties (in addition to the seven parties implied, he had<br />
contacts with the French-speaking and Dutch-speaking liberals, MR and Open Vld respectively,<br />
which now also have a seat at the table of negotiation). Three days later, the N-VA refuses to<br />
start negotiating on the basis of this note (De Morgen (July 7, 2011)). The CD&V asks for<br />
some modifications to the note, while the other seven parties agree to start the negotiation (De<br />
Morgen (July 19, 2011)).<br />
Eight parties around the table<br />
On July 21, 2011, the CD&V finally agrees to start negotiating without the presence of the<br />
N-VA, which is a new start, unblocking the situation (Le Soir (July 22, 2011)).<br />
First agreement on BHV<br />
During the night between September 14 and 15, 2011, an agreement of the eight parties on<br />
the electoral district BHV is reached (De Tijd (September 15, 2011)).
27<br />
Agreement on the financing law<br />
On September 24, 2011, a second agreement is reached. This one concerns the law about the<br />
financing of the Regions and the Communities, about fiscal autonomy and about the refinancing<br />
of Brussels (De Tijd (September 26, 2011)).<br />
Second agreement on BHV<br />
During the night preceding October 5, 2011, a similar agreement is reached concerning the<br />
judiciary district BHV (De Standaard (October 5, 2011)).<br />
Global agreement<br />
On October 8, 2011, a global agreement on the whole constitutional file is reached, after<br />
530 days of crisis (482 days since the elections). The entire agreement is published in Le Soir<br />
(December 2, 2011).<br />
Sixth reform of the State<br />
On October 11, 2011, the sixth reform of the State is designed and agreed upon by the parties.<br />
The reform includes the decisions reached in the previous recent agreements (Le Soir (October<br />
11, 2011)).<br />
Six parties left<br />
On October 13, 2011, the ecologist parties, Ecolo and Groen!, are forced to quit the negotiating<br />
table. Six parties are left (De Standaard (October 13, 2011)).<br />
Political agreement on the budget<br />
On November 26, 2011, after 18 hours of negotiations, the budget for 2012 is agreed (Le Soir<br />
(November 26, 2011)). The downgrade of Belgium by S&P the day before created a pressure<br />
from the markets, which was probably a decisive variable in this agreement (The New York<br />
Times (December 14, 2011)).<br />
Conclusion of the governmental agreement<br />
On November 30, 2011, an agreement is reached on the formation of a government which<br />
would be led by Elio Di Rupo (Washington Times (November 30, 2011)). He would be the first<br />
French-speaking Prime Minister for more than three decades and the first socialist to hold that<br />
position since 1974 (BBC News (December 6, 2011)).<br />
Formation of a government<br />
On December 6, 2011, Elio di Rupo takes the oath and becomes Prime Minister of the new<br />
government. The government is constituted of the Social Democrats (PS/sp.a), the Christian<br />
Democrats (cdH/CD&V) and the Liberals (MR/Open Vld), but excludes the N-VA (Le Soir<br />
(December 5, 2011)). This date marks the end of the world’s longest political crisis.
28<br />
4.2 Rating agencies’ outlooks and downgrades<br />
We now move on to another kind of event which has an impact on the stock market. As for<br />
the previous section (4.1), we bold the dates that are important and that we will use in the<br />
econometric regressions in the next chapter. We list hereunder the different events related to<br />
the main rating agencies (Standard & Poor’s, Moody’s and Fitch). As evidenced by data, the<br />
threat of downgrading the rating of Belgium by the agencies or the actual downgrade of this<br />
rating have an impact on the daily returns of the BEL20 index. We, therefore, need to take<br />
these parameters into account, in order for our political indicator to be more accurate. In other<br />
words, if a movement in the stock market is due to an announcement of a rating agency and<br />
not to a political event taking place at the same moment, and if we do not take into account<br />
the rating agencies’ impact, then an ordinary econometric regression will wrongly attribute this<br />
movement to the political event. In order to avoid this kind of inaccuracies, we will create a new<br />
dummy variable, called “Rating”, taking value 1 when a rating agency announces that it starts<br />
reviewing Belgium for a potential downgrade or when this downgrade takes place. Let us now<br />
go through each of the three major rating agencies one by one.<br />
4.2.1 Standard & Poor’s<br />
Negative outlook<br />
On December 14, 2010, S&P threatens Belgium with a potential downgrade. Their outlook<br />
for Belgian debt turns to “negative”, as one of the Eurozone’s most indebted countries might<br />
encounter higher borrowing costs (Reuters (December 14, 2010)). Quoting Reuters; “[i]f the<br />
country’s inability to form a government threatened deficit- and debt-reduction goals, S&P<br />
said Belgium’s AA+ rating could be downgraded within six months”. Let us note that “AA+”<br />
corresponds to the second best grade, in S&P’s ranking, out of a list of 22 grades.<br />
S&P’s downgrade<br />
On November 25, 2011, Standard & Poor’s decides to apply its one-year-old threat of<br />
downgrading Belgium. The Belgian grade thus goes down from “AA+” to “AA” (third best<br />
grade), and “negative perspectives” were bound to this new grade. According to the economic<br />
newspaper L’Echo (November 26, 2011), this will have an unquestionable impact on the real<br />
economy. The decision was motivated by a pressure on financing and market risk, increasing the<br />
likelihood for complementary state support. In the same article, a relevant question for this<br />
<strong>thesis</strong> is addressed to Alexandre De Groote (CEO of Petercam Institutional Bonds); “should we<br />
fear a sudden rise of the returns after this downgrade?” He believes that the market fluctuation<br />
already incorporated this information. Data however are less clear about it: the BEL20 index<br />
did not decrease on that day, it even increased slightly but much less than the Euro Stoxx 50<br />
index. Therefore, it seems that this event was not totally forecast and incorporated by the<br />
market.<br />
4.2.2 Moody’s<br />
Moody’s reviews Belgium’s “Aa1”<br />
On October 07, 2011, the high level of Belgian debt combined with the “long-term funding<br />
risk on the euro-area sovereign” encouraged Moody’s to review Belgium for a possible downgrade<br />
in the future (Moody’s (October 7, 2011)).
29<br />
Moody’s downgrade<br />
On December 16, 2011, Belgium’s credit rating is downgraded by Moody’s from Aa1 to Aa3<br />
(from second best to fourth best grade, in a list of 21 different grades), which corresponds to a<br />
“negative outlook” (Moody’s (December 16, 2011)). However, this event happens after the end<br />
of the period we analyse here. We cannot, therefore, take it into account.<br />
4.2.3 Fitch Ratings<br />
Negative outlook<br />
On May 23, 2011, the outlook of Fitch on the sovereign rating of Belgium changes from “stable”<br />
to “negative”.<br />
Rating watch and downgrade<br />
On December 16, 2011, as Moody’s downgrades Belgium, the rating watch of Fitch turns to<br />
negative. The actual downgrade from Fitch takes place on January 27, 2012 (Fitch Ratings<br />
(2012)).<br />
4.2.4 Conclusion about the ratings<br />
Even if only four relevant rating-related events are highlighted during the political crisis 2010-<br />
2011, using this data enables us to capture some fluctuations of the BEL20 daily returns. It<br />
frees our political indicator of some possible inaccuracies.<br />
4.3 Summary of the events<br />
In order to provide a global view of the Belgian crisis to the reader, we established a timeline<br />
(on page 30), summarising the aforementioned events. The previous analysis appears to provide<br />
23 key dates relating to the Belgian political crisis 2010-2011, and 17 less important dates. With<br />
regard to the “rating dummy”, we identified four key events. We include the most important<br />
events chronologically on the following timeline, which is split into two parts; the first one for<br />
2010 and the second one for 2011. We also added to this summary the value of the BEL20 and<br />
the Euro Stoxx 50, as a percentage compared to their value on April 19, 2010 (just before the<br />
resignation of Leterme II’s government). As these figures show, it is hard, if at all possible, to<br />
notice an impact of the political events on the daily return of the BEL20. However, we can<br />
clearly identify that the BEL20 and the Euro Stoxx 50 move closely together and respond to<br />
the same shocks.
Figure 4.1: Main Belgian political events against the BEL20 and Euro Stoxx 50 indices<br />
daily returns, April 19, 2010 - December 31, 2010<br />
30<br />
Figure 4.2: Main Belgian political events against the BEL20 and Euro Stoxx 50 indices<br />
daily returns, January 01, 2011 - December 13, 2011
Chapter 5<br />
Impact of political events on the<br />
Brussels stock market<br />
“As we realise that more and more things have global impact, I think we’re going to get people<br />
increasingly wanting to get away from a purely national interest.”<br />
Peter Singer 42 .<br />
As the literature review has shown, the stock market is closely linked with political conditions,<br />
and in particular with political events. We have seen that it was especially the case when we<br />
considered emerging markets and politically unstable countries. Belgium, during the 2010-<br />
2011 political crisis, might be considered to fall into this second category. We investigate,<br />
in this chapter, the impact of the politically significant events highlighted in the previous<br />
chapter on the evolution of the return of the BEL20 index. Significant results are found,<br />
evidencing the connection between the political and economic worlds in Belgium. We first start<br />
by reviewing some basics of financial econometrics; we then introduce a simple static model that<br />
we progressively sophisticate as we go along. In the extensions, we end with an error correction<br />
model and with autoregressive conditional heteroskedasticity models. Some topics with regard<br />
to our approach for this chapter are raised in the next chapter - Discussion - as they do not<br />
concern one subsection in particular.<br />
5.1 Theoretical background<br />
Two main theoretical models are of interest for our analysis. The first one is the capital asset<br />
pricing model (CAPM), introduced by the Nobel laureate William Sharpe (1964) and by Lintner<br />
(1965). This is probably the most widely used model for the evaluation and management of<br />
financial portfolios. Even though the CAPM was a theoretical success, empirical evidence seems<br />
not to validate it (Fama and French (2004)). The second model of interest is the arbitrage pricing<br />
theory (APT), established by Ross (1976), determining the expected return of a stock (or more<br />
generally of an asset) as a function of multiple factors. The CAPM was the standard in event<br />
studies during the 1970s (Campbell et al. (1997)) but later studies preferred using multi-factor<br />
models derived from the APT because it prevents one from using incorrect assumptions on the<br />
expected returns.<br />
In this section, we review the efficient market hypo<strong>thesis</strong> (EMH) at the basis of these two<br />
models, then we briefly introduce the foundation of each of them.<br />
42 Australian Inspiration (2010)<br />
31
32<br />
5.1.1 Efficient market hypo<strong>thesis</strong><br />
Financial econometrics is based on the uncertainty faced by investors (Campbell et al. (1997)).<br />
Anticipation and expectations are, therefore, key to understand how the stock markets react.<br />
Since Samuelson (1965), who proved that “properly anticipated prices fluctuate randomly”, the<br />
EMH (summarised by Fama (1970)) has often been challenged in literature. Basically, it states<br />
that stock markets are supposed to “fully reflect” all available information, or at least to reflect<br />
correctly the relevant stock-related information. The EMH has a direct implication, which is<br />
unfortunate for greedy investors: that stock returns must be random. It should thus not be<br />
possible for an investor to make profit based on the available information.<br />
Having perfect market efficiency is unlikely, not only because the expectations are not<br />
always rational, but also because some of the relevant information comes at a price. However,<br />
challenging the hypo<strong>thesis</strong> of efficiency of the markets is always tricky. Indeed, if the hypo<strong>thesis</strong><br />
is rejected, it can mean either that the market is inefficient or that the model that has been<br />
used is not properly defined (Campbell et al. (1997)).<br />
For these reasons, the debate about the EMH remains open in the context of the capital<br />
asset pricing model and the arbitrage pricing theory. We now turn to the rationale of these<br />
models.<br />
5.1.2 Capital asset pricing model<br />
The CAPM establishes what the optimal point between the risk and the return of a portfolio<br />
is. One that lies on this point is called “mean-variance efficient” (Campbell et al. (1997)). The<br />
CAPM is formulated as follows:<br />
(<br />
)<br />
E(R i ) = R f + β im E(R m ) − R f (5.1)<br />
where<br />
• E(x) is the expected value of x,<br />
• R i is the return on an asset i,<br />
• R f is the return of a risk-free asset (the model assumes that there is such asset),<br />
• R m is the return of the market portfolio and<br />
• β im is a measure of the risk of an asset. This measure can be defined as follows:<br />
β im = Cov(R i, R m )<br />
V ar(R m )<br />
(5.2)<br />
where<br />
• Cov(R i , R m ) is the covariance of the respective returns of the asset i and the market<br />
portfolio and<br />
• V ar(R m ) is the variance of the market portfolio.<br />
Putting words on formula 5.2, one of the main findings of the CAPM is that a stock’s<br />
expected return is a linear function of its covariance with the market.<br />
The CAPM is sometimes used to measure the expected return of a stock in event studies. It<br />
is worth noting that several weaknesses and inaccuracies have been debated in the literature
33<br />
about the CAPM. In particular, Campbell et al. (1997) mention that some CAPM frameworks<br />
consider that it holds only conditionally: only period per period or only conditionally to the<br />
state of the economy, for example. Other reasons for this debate include statistical evidence (in<br />
the US market) against the CAPM, or the fact that the CAPM should be replaced by other<br />
sources of risk.<br />
5.1.3 Arbitrage pricing theory<br />
The APT, introduced by Ross (1976), is a general theory about the pricing of assets, stating<br />
that the return on an asset is a linear function of the expected return on that asset and of a set<br />
of relevant variables. Formally, it is expressed as follows:<br />
where<br />
• r i is the return on asset i,<br />
• E i is the expected return on asset i,<br />
r i = E i + β i1 X 1 + ... + β ik X k + ɛ i (5.3)<br />
• the X k are the k zero-mean factors termed X, whose subscript goes from 1 to k,<br />
• to each factor, is joined a coefficient β, measuring the sensitivity of asset i to the factor in<br />
consideration,<br />
• the n different assets are identified by their subscript i, going from 1 to n and finally,<br />
• ɛ i is the residual (also called “noise” or “disturbance” 43 ) of the asset i.<br />
Basic assumptions are made, notably (i) that ɛ i is an unsystematic idiosyncratic risk<br />
component such that E(ɛ i |X j ) = 0, (ii) monotonicity and (iii) concavity. It follows the same<br />
intuition as the CAPM (Roll and Ross (1980)), since it also considers a linear process for<br />
estimating the return. One distinction between these two models is the fact that the APT does<br />
not rely on any market portfolio 44 . Another major difference resides in the fact that the APT<br />
allows the expected return to be a function of several other variables. Literature evidencing the<br />
fact that several factors are likely to affect the process of return generating can be found in<br />
Rosenberg and Marathe (1975).<br />
Shanken (1982) claims that the APT is more likely to be validated empirically than the<br />
CAPM, but no clear-cut answer has been found as to which of these models better reflects reality.<br />
As he presents it (based on the argumentation of Roll (1977)), testing the CAPM is tricky since<br />
it relies on an assumption hardly ever met: the existence of an efficient market portfolio, which<br />
should be used in the test of the CAPM.<br />
In the coming analyses, we mainly follow the intuition of the APT, building a model explaining<br />
the fluctuations of the BEL20 index by the fluctuations of several other variables. However,<br />
we also keep the “market” trend approach of the CAPM, since we use the Euro Stoxx 50 as a<br />
regressor in our model. The Euro Stoxx 50 can indeed be considered as the equivalent to the<br />
market portfolio for the BEL20 index. As we mention in the following paragraphs, the strong<br />
correlation between the BEL20 index and the Euro Stoxx 50 as well as the significance of the<br />
different control variables analysed confirm that our approach is justified.<br />
43 In the coming pages, we will indifferently use any of these denominations.<br />
44 As Roll and Ross (1980) put it: “[i]n general, the market portfolio plays no special role whatsoever in the<br />
APT, unlike its pivotal role in the CAPM”.
34<br />
5.2 Multiple regression analysis<br />
In this section, we start by adopting a simplistic model, that gets more and more sophisticated as<br />
we go along. We do not extensively interpret the results before the end of the section, since the<br />
coefficients of the different variables used and their significance change as the model gets better<br />
specified. Section 5.2.10 brings together the conclusions of each subsection of the main model.<br />
It is a useful summary for the reader who does not feel confortable with the econometric details<br />
presented hereunder. However, the reader may be interested to observe how the coefficients of<br />
the various regressors evolve, as we sharpen the analysis.<br />
5.2.1 Simplistic return-analysis model<br />
The basic estimation of the impact of political events, taken all together, on the BEL20 index<br />
returns is:<br />
where<br />
{BEL20 return} t = β 0 + β 1 {P olitical indicator} t + β 2 X t + ɛ t (5.4)<br />
• {BEL20 return} t is the return of the BEL20’s index, on day t,<br />
• {P olitical indicator} t is the value of the main political indicator built in section 3.3, on<br />
day t,<br />
• X t is a vector of exogenous variables 45 ,<br />
• the βs are the coefficients estimated by the model for each regressor and for the intercept<br />
(β 0 ). They capture the sensitivity of their respective regressor with regards to the dependent<br />
variable 46 . And<br />
• ɛ t is the residual, or disturbance, of the regression for the observation t 46 .<br />
With ordinary least squares (OLS) regressions, several assumptions have to be made. In<br />
particular, we assume that the residuals ɛ t :<br />
1. are normally distributed: ɛ t ∼ N(·, ·),<br />
2. have a zero mean: ɛ t ∼ N(0, ·),<br />
3. have a constant variance: ɛ t ∼ N(0, σ 2 ),<br />
4. are not serially correlated and<br />
5. are not correlated with the explanatory variables.<br />
These assumptions can be considered as strong ones because usually: “security returns are<br />
not normally distributed, [...] [t]here is evidence of slight serial correlation in security returns,<br />
[...][t]here is evidence that variance shifts sometimes are associated with financial events” and<br />
“[t]here is evidence that the residuals are correlated with values of the independent variable[s]”<br />
(Henderson (1990)). Techniques exist to deal with these problems in event studies. We will,<br />
45 Here, as in the following equations, we indicate vectors by bolded letters.<br />
46 In the remainder of the <strong>thesis</strong>, we will not explicitly state what these β coefficients are, or whichever Greek<br />
letter we attribute to them. The same applies to the disturbances ɛ.
35<br />
therefore, release some of these assumptions in further sections. In particular, we will deal with<br />
endogeneity of some regressors, with the heteroskedasticity of the residuals and analyse the<br />
serial correlation present within these residuals.<br />
The null hypo<strong>thesis</strong> associated with this model is that the stock market is efficient, anticipates<br />
every political move and, therefore, does not react to political events. Significance for the political<br />
indicator means that the null hypo<strong>thesis</strong> is rejected (using a two-sided t-test). In other words,<br />
that the coefficient is statistically different from zero. The significance is accompanied by a<br />
threshold value 47 , measuring how certain it is that the null hypo<strong>thesis</strong> is rejected. As a way to<br />
put it simply, we will often just refer to the threshold value to describe the level of significance<br />
of an estimated coefficient 48 .<br />
Interdependence on other stock markets<br />
Forbes and Rigobon (2002) show that major events in stock markets can have a significant<br />
impact on other stock markets across the globe, even if these markets differ in size and in<br />
structure. With regard to our analysis, the period that we investigate is characterised, at best,<br />
by instability of the different stock markets around the world, due to the financial crisis. Using a<br />
more global stock index as a control variable, we are able to free the BEL20 from the fluctuations<br />
due to global shocks 49 . Two such indices seem to be particularly appropriate for our analysis;<br />
the Euro Stoxx 50 and the S&P 500. The Euro Stoxx 50 is the index covering the leading<br />
companies in the main sectors of the Eurozone. The S&P 500 is the most commonly used index<br />
for American companies; it includes 500 U.S. leading companies within the main industries in<br />
the American economy.<br />
We use the European index Euro Stoxx 50 instead of the S&P 500, because the European<br />
index responds to some events and variables that the American one does not consider. In<br />
particular, it considers all monetary-policy related events and variables, because the Eurozone<br />
has a unique and common monetary policy whose impact will be obviously much bigger on<br />
the Euro Stoxx 50 than on the S&P 500. Putting numbers to this intuition: ordinary least<br />
squares (OLS) regressions show that the fraction of the fluctuations in the BEL20 returns that<br />
is explained by the S&P 500 returns is 45.90%, while if we use the Euro Stoxx 50, we reach<br />
89.05% 50 . In other words, the European index fluctuations explain about twice as much as the<br />
American one. We consider this as a sufficient reason for using the Euro Stoxx 50.<br />
As Table 5.1 shows 51 , this control variable is highly significant, which means that the Belgian<br />
stock market largely fluctuates in tandem with the European one. It confirms the trend that we<br />
already saw in figure 4.1.<br />
Table 5.1: Regression of the BEL20 daily returns, controlling<br />
for interdependence with the European stock<br />
market index Euro Stoxx 50.<br />
Variable Coefficient (Std. Err.)<br />
Euro Stoxx 50 return 0.811 ∗∗ (0.014)<br />
Intercept -0.014 (0.024)<br />
Significance levels: † : 10% ∗ : 5% ∗∗ : 1%<br />
47 This threshold depends on the p-value for the test of the null hypo<strong>thesis</strong>.<br />
48 The lower the threshold, the more significant the coefficient is.<br />
49 It will also integrate seasonality effects, such as the “January effect” and the “week-end effect”, well known in<br />
financial time series.<br />
50 The data comes from Datastream (2012).<br />
51 In this table, as in the following ones, we indicate the latest added regressor in bold.
36<br />
It should be noted, however, that the BEL20 index is part of the Euro Stoxx 50 index and<br />
therefore, it is not surprising that they are, to some extent, correlated. Though, it should be<br />
noted that the European index is principally constituted of French companies (36.2%) and<br />
German ones (31.5%) while Belgium has a very weak weight in it (3.4%) 52 . Therefore, using<br />
this index does not seem inappropriate.<br />
The Euro Stoxx 50 explains the major part of the fluctuations of the BEL20 index. However,<br />
we will add several other macroeconomic variables in order to have a model as well-specified as<br />
possible. This approach seems justified, as Campbell et al. (1997) explain about the procedure<br />
to be used in event studies, since “in principle, [...] increases in R 2 could be achieved by using a<br />
multi-factor model”. But it is worth mentioning that “[i]n practice, however, the gains in R 2<br />
from adding additional factors are usually small”, which is confirmed with our data.<br />
The positivity of the coefficient is a coherent result, since we expected these two indices<br />
to move in tandem. We believe that a similar correlation can be expected for the volatilities<br />
of these stocks. Indeed, as Black (1976) 53 mentions while talking about the correspondence<br />
between a stock and its market portfolio: “[i]n general, it seems fair to say that when stock<br />
volatilities change they all tend to change in the same direction”.<br />
5.2.2 Adding the main political indicator, free of endogeneity, to the model<br />
Endogeneity is a serious problem. If our regressions are subject to endogeneity for the political<br />
indicator, i.e. if both the returns have an effect on political events and political events have an<br />
effect on the returns, then one of the most basic assumptions made in our OLS regressions is<br />
broken. This assumption is that errors are not correlated with any of the dependent variables.<br />
Endogeneity can result in biased and inconsistent estimators. We, therefore, have to check it for<br />
the political indicator, because it is likely that we observe some endogeneity, which would bias<br />
our interpretations. The addition of the main political indicator to the model, after having freed<br />
it of endogeneity with the BEL20 index return, is the purpose of this subsection.<br />
Dealing with endogeneity: building the instrumental variable<br />
We follow a procedure that has been extensively used previously in literature to control for<br />
possible endogeneity between stock market returns and political actions: the instrumental<br />
variable approach 54 .<br />
As investigated by Rigobon and Sack (2001) and pointed out by D’Amico and Farka (2002),<br />
“[f]or the majority of cases [...], the stock market is allowed to instrument itself through its<br />
own lagged values”. However, since the stock market is likely to anticipate political events, the<br />
bidirectional causal relationship may remain, implying that the lagged values of the stock market<br />
are not a valid instrument. It is also hard to conceive instruments totally independent from<br />
political events but determining stock market fluctuations. As a solution to this problem, we<br />
can construct our own instrument, based on the BEL20 return and on the indicator of political<br />
events. This choice may cause a problem of generated regressor, investigated further in this<br />
section, but seems appropriate since the resulting instrument would bear the desirable properties<br />
of a good instrument. This simple approach is based on the work of D’Amico and Farka (2002)<br />
but is highly intuitive.<br />
52 Source: Stoxx Limited (June 29, 2012).<br />
53 Cited by Schwert (1990).<br />
54 As cited by Angrist and Pischke (2009), the first author to use this method is Wright (1928), while the term<br />
“instrumental variable” is due to Reiersøl (1941). For a good summary of the theory about this method, refer to<br />
Wooldridge (2009).
37<br />
We start by establishing a system that on the one hand is likely to characterise the stock<br />
return function and on the other hand shows some possibility for political events to be influenced<br />
by the stock market.<br />
where<br />
• RBel is the daily return on the BEL20 index,<br />
• P OL is the political indicator,<br />
• X is the set of different control variables and<br />
• the ε are the residuals for each equations.<br />
RBel t = βP OL t + θX t + ε RBel<br />
t (5.5)<br />
P OL t = αRBel t + δX t + ε P OL<br />
t (5.6)<br />
We will now build a proper instrumental variable, addressing the possible endogeneity<br />
problem by eliminating the correlation between the residuals of the Belgian stock market daily<br />
returns (ε RBel<br />
t ) and the indicator of political events (P OL t ).<br />
The construction of the instrument is done by regressing our political indicator on the returns<br />
of the BEL20 index, then using the resulting residuals as the new political indicator in the<br />
initial equation (equation (5.4)). Similar procedures using a generated regressor as instrumental<br />
variable have been used by several authors in literature, notably Barro (1977), Barro (1979) and<br />
Pagan (1984). Oxley and McAleer (1993) provide a summary of the danger of using generated<br />
regressors if one does not correct the standard errors. Fortunately, using a two-stage least<br />
squares (2SLS) approach, as we do, corrects these standard errors and seems thus perfectly<br />
appropriate. Murphy and Topel (1985) are usually seen as a reference for two-step econometric<br />
models, yielding asymptotically correct standard errors.<br />
With regard to our case, we proceed to:<br />
By construction, the residuals of equation (5.7):<br />
P OL t = γ 0 + γ 1 RBel t + e IV<br />
t (5.7)<br />
ê IV = P OL t − ̂P OL t (5.8)<br />
ê IV = P OL t − (̂γ 0 + ̂γ 1 RBel t ) (5.9)<br />
are the share of P OL t that is not correlated with ε RBel<br />
t , because êIV contains all the information<br />
of the political indicator that is not explained by the Belgian stock market main index.<br />
These residuals bear two attributes of interest: first, they are highly correlated 55 with our<br />
initial political indicator P OL t ; second, they are not correlated 56 with the returns of the BEL20<br />
index RBel t . We can, therefore, use these residuals as a valid instrument for the political<br />
indicator. Since this indicator is now purged from ε RBel<br />
t , we have eliminated any possible<br />
endogeneity.<br />
55 To be exact, the correlation is 99.43%.<br />
56 Correlation of 0.00%.
38<br />
Testing the results, free of endogeneity<br />
Proceeding to this methodology and replacing the political indicator by êIV in equation 5.4,<br />
we obtain the results of table 5.2. As expected, the model defined by equation 5.4 showed<br />
endogeneity between the political indicator and the daily returns of the BEL20 57 .<br />
Table 5.2: Instrumental variables (2SLS) regression of the<br />
BEL20 daily returns, using an ad hoc estimator of the<br />
political indicator as the instrument.<br />
Variable Coefficient (Std. Err.)<br />
Main political indicator -0.206 ∗ (0.104)<br />
Euro Stoxx 50 return 0.814 ∗∗ (0.014)<br />
Intercept -0.015 (0.024)<br />
Significance levels: † : 10% ∗ : 5% ∗∗ : 1%<br />
As the table shows, all regressors are significant. In particular, for êIV , referred to as “main<br />
political indicator” in table 5.2, the significance threshold for the test of the null hypo<strong>thesis</strong> that<br />
political events do not cause fluctuations in the return of the BEL20 index is 4.7% 58 .<br />
Its coefficient suggests that for every positive political event, on the day of the event, the<br />
return of the BEL20 decreases by 0.2 percentage points 59 , and for every negative event, it<br />
increases by the same amount, on average.<br />
However, both the coefficient and the significance of the regressors of the above regression<br />
can be inexact because of missing control variables. Fortunately, extensive literature about<br />
the variables that can have an impact on the stock market exists. Adding the correct missing<br />
independent variables to the model will give us a coefficient that is more accurate for the political<br />
indicator. Now, let us turn to the explanatory variables that should be included in the X t of<br />
equation 5.4, i.e. the variables that would help us better specify our model.<br />
5.2.3 Adding the control variables to the model<br />
Several other variables may have an impact on stock prices and therefore on stock market returns.<br />
Not including them in our regression might result in what is called “an omitted variable bias”.<br />
To be more precise, we have to distinguish between equation 5.4 and equation 5.10:<br />
{BEL20 return} t = β 0 + β 1 {P olitical indicator} t + ɛ t (5.10)<br />
Indeed, if a control variable included in equation 5.4 and not in equation 5.10 is correlated<br />
with the political indicator, then the coefficient β 1 will be biased in equation 5.10 (Angrist and<br />
Pischke (2009)). The procedure of adding control variables will therefore yield a more precise<br />
estimate of the effect of the political indicator on the fluctuations of the BEL20 index daily<br />
return. Angrist and Pischke (2009) also establish that “a longer regression - one with controls<br />
[...] - has a causal interpretation while a shorter regression does not”. Since establishing if such<br />
a causal relationship exists is exactly what we are looking for, adding control variables seems<br />
the best procedure to follow.<br />
57 In the appendices, we indicate the results of our final model if we do not control for endogeneity, which<br />
evidences that the main political indicator in the initial model was indeed endogenous.<br />
58 For the sake of clarity, in the following paragraphs we will loosely express it as “the significance threshold is<br />
x%”.<br />
59 This coefficient is only approximate, so far, since we still need to add the control variables.
39<br />
This section therefore explains in detail which variable we add to our regression and how the<br />
results are affected by the addition of each of these variables 60 . We also provide the reader with<br />
some theoretical background about the use of each of them, by briefly reviewing some of key<br />
literature about the topic. In particular, potential control variables might be the changes in<br />
rating from rating agencies, the change in the interest rate of the government bonds, the change<br />
in the inter-bank overnight interest rate (Eonia), the monetary growth, but also the change in<br />
the sovereign debt risk, the fluctuations in the price of other assets (such as gold) or the state of<br />
the economy. These variables, if they can be correctly measured, if regularly released data can<br />
be obtained and if they participate in the explanation of the fluctuations of the BEL20 index,<br />
should be used as control variables. This is done in order to purge our analysis from possible<br />
over- or under-estimations due to variations wrongly attributed to political events, instead of<br />
attributing them to these neglected macroeconomic variables. In this section, we briefly mention<br />
the authors who have analysed these variables, their results and explain why we believe that<br />
including them in our regression is relevant for the analysis at hand.<br />
We will review possible control variables one by one and keep the ones that increase the<br />
fraction of the BEL20 which is explained by the regressors (econometrically speaking, it is the<br />
coefficient of multiple determination or “adjusted R 2 ” 61 ). In other words, we will keep the ones<br />
that are significant or close to being significant, i.e. the variables with which the model is better<br />
specified.<br />
Quadratic interdependence on other stock markets<br />
Several tests with the data reveal that the BEL20 index and the Euro Stoxx 50 may not be<br />
solely correlated linearly. The square of the daily returns of the Euro Stoxx 50 should be used as<br />
well as a control variable, because in addition to a linear correlation, the Belgian stock market<br />
seems to react quadratically to this index. As table 5.3 indicates, using these squared returns<br />
is not only a significant control variable, but it also improves the significance of the political<br />
indicator 62 . The coefficient of the square of the Euro Stoxx 50 return is not large, but it is<br />
significant at a 5% threshold, evidencing that it captures some part of the BEL20 fluctuations.<br />
Table 5.3: Regression of the BEL20 daily returns, adding<br />
the square of the daily returns of the Euro Stoxx 50 index<br />
as a regressor.<br />
Variable Coefficient (Std. Err.)<br />
Main political indicator -0.234 ∗ (0.104)<br />
Euro Stoxx 50 return 0.813 ∗∗ (0.014)<br />
Euro Stoxx 50 return 2 0.008 ∗ (0.003)<br />
Intercept -0.040 (0.026)<br />
Significance levels: † : 10% ∗ : 5% ∗∗ : 1%<br />
60 Some of the data is not available daily but only monthly or quarterly. In order to solve the missing data<br />
problem due to different frequencies in the publication of data, we considered that every day between two valued<br />
dates (e.g. between the first of each month, for monthly data) take the same value as the previously valued date.<br />
Similarly for the return, we considered that it remained the same for every day of these non-valued periods.<br />
61 The adjusted R 2 , contrary to the R 2 , takes into account the number of independent variables in the specification<br />
of the regression. In other words, while the R 2 can only increase if a regressor is added to a regression, the<br />
adjusted R 2 can also decrease if this regressor does not significantly improve the specification of the equation.<br />
62 Its coefficient now reaches the 2.4% threshold.
40<br />
Rating dummy<br />
The changes in the outlook or in the rating given to a country by the main rating agencies are<br />
likely to have an impact on the Belgian stock market. Indeed, Kaminsky and Schmukler (2002)<br />
found that ratings have an impact on stock returns, and also have a spillover effect across the<br />
financial markets. Their analysis goes even further; “[i]nterestingly, rating changes trigger more<br />
widespread market instability during times of turmoil, suggesting that rating changes may act<br />
like a wake-up call or a signal that coordinates investors towards a bad equilibrium”. It seems,<br />
therefore, particularly relevant to add this variable for our analysis.<br />
Through adding the dummy variable about the changes in the outlook or in the rating of a<br />
country by the main rating agencies 63 , we obtain the results reported in table 5.4. In particular,<br />
when an outlook is modified to “negative” or when Belgium is downgraded by one of the three<br />
main rating agencies, then the daily return on the BEL20 index seems to decrease.<br />
Table 5.4: Regression of the BEL20 daily returns, adding<br />
an indicator of rating agencies’ modifications in outlook<br />
and downgrades as a regressor.<br />
Variable Coefficient (Std. Err.)<br />
Main political indicator -0.232 ∗ (0.103)<br />
Euro Stoxx 50 return 0.813 ∗∗ (0.014)<br />
Euro Stoxx 50 return 2 0.008 ∗ (0.003)<br />
Rating dummy -0.511 ∗ (0.245)<br />
Intercept -0.035 (0.026)<br />
Significance levels: † : 10% ∗ : 5% ∗∗ : 1%<br />
One can notice that with this specification of the model, our rating dummy is significant at<br />
a 5% threshold. The significance of the political indicator remains unchanged compared to the<br />
regression with only the Euro Stoxx 50 daily returns and their square as control variables.<br />
In section 5.2.9, we test the robustness of this “rating” indicator, by replacing it by an<br />
alternative measure of it.<br />
Changes in the yield of Belgian government bonds on the secondary market<br />
As Bernhard and Leblang (2006) conclude, the interest rate on government bonds is likely to have<br />
an impact on political outcomes. Should this rate be high, it will be harder for a government to<br />
manage fiscal policy (implementation of new programmes or tax cuts for example). It, therefore,<br />
seems to be a relevant control variable for our analyses.<br />
In line with the predictions of Bernhard and Leblang (2006) about the potential impact<br />
of a change in the yield of a country’s government bonds on the stock market, we find almost<br />
significant results evidencing this link. For our data, we used the one-year maturity yield of<br />
Belgian government bonds, exchanged on the secondary market 64 . Our results show a negative<br />
link between this variable and the BEL20 daily returns, even if this link is rather small. In<br />
particular, when the yield increases, then the return of the BEL20 seems to slightly decrease, on<br />
average 65 .<br />
63 This is the dummy variable that we built in section 4.2.<br />
64 The data comes from the National Bank of Belgium (2012).<br />
65 This control variable has a significance threshold of 11.1%, and very slightly affects the measure of the political<br />
indicator, whose coefficient (in absolute value) increases and standard error decreases. The significance is therefore<br />
bigger.
41<br />
Table 5.5: Regression of the BEL20 daily returns, adding as a<br />
regressor the daily change in the yield of Belgian government<br />
bonds on the secondary market, with one-year maturity.<br />
Variable Coefficient (Std. Err.)<br />
Main political indicator -0.237 ∗ (0.103)<br />
Euro Stoxx 50 return 0.813 ∗∗ (0.014)<br />
Euro Stoxx 50 return 2 0.008 ∗ (0.003)<br />
Rating dummy -0.491 ∗ (0.244)<br />
Government bonds yield -0.008 (0.005)<br />
Intercept -0.031 (0.026)<br />
Significance levels: † : 10% ∗ : 5% ∗∗ : 1%<br />
It is worth mentioning that over the period of interest in this analysis, there are 13 dates<br />
missing with respect to the stock market days, i.e. there are 13 days for which there is a value<br />
for the stock market, but no value for the interest rate on government bonds. These dates are in<br />
2010: May 13, May 14, May 24, July 21, November 1 and November 11, and in 2011: June 2,<br />
June 3, June 13, July 21, August 15, November 1 and November 11. We considered that the<br />
return for these days is simply zero, because the value of the stock remains the same as for the<br />
previous day.<br />
We also tried a similar regression, using the yield on Belgian bonds as control variable, with<br />
every different maturity for which the National Bank of Belgium (2012) gives the data, i.e. two<br />
years, three years, four years, five years and “six years and more”. The results are that the<br />
“government bonds yield” indicator is not even close to being significant for the other maturities.<br />
Contrary to the one-year maturity yield, they do not improve the explanation of the BEL20’s<br />
fluctuations. We will therefore keep only the one-year maturity yield in further regressions.<br />
Predictability<br />
The predictability of political events should have a strong impact on our results. Indeed the<br />
more predictable an event is, the less strong the impact on stock prices will be, and vice versa.<br />
Predictability includes not only the outcome of similar past events, but also the opinion given in<br />
the main newspapers about the likelihood that the event will end up with a successful outcome.<br />
According to Bernhard and Leblang (2006), this predictability may be evaluated by the volatility<br />
of the stock market before the event; indeed the higher the volatility, the less certain stock price<br />
forecasts are.<br />
As a way to measure the volatility, we refer to the most cited source on the topic, which is<br />
Parkinson (1980) who provides a good estimate of the variance for stock prices. This estimation<br />
is easily computed as:<br />
( ) Hight<br />
Est t = ln<br />
Low t<br />
(5.11)<br />
where<br />
• Est t is the estimation of the variance at time t,<br />
• High t is the highest price reached by the stock, over the period of consideration, here the<br />
day t, and
42<br />
• Low t is the lowest price reached by the stock, for the same period.<br />
We, therefore, compute this estimated variance for each day of the period of interest. Then,<br />
we lag the results from one, two, three, four or five periods in order to fit the estimator of<br />
predictability established by Bernhard and Leblang (2006). Adding each of these lags of the<br />
estimated variance separately to our regression shows that the resulting variable is the most<br />
significant when we use a three-day lag on the estimator of the variance. The results of this<br />
addition can be seen in table 5.6.<br />
Table 5.6: Regression of the BEL20 daily returns, adding the<br />
predictability of the political events as a regressor, measured<br />
as a three-day lagged estimation of the variance.<br />
Variable Coefficient (Std. Err.)<br />
Main political indicator -0.244 ∗ (0.103)<br />
Euro Stoxx 50 return 0.813 ∗∗ (0.014)<br />
Euro Stoxx 50 return 2 0.006 † (0.004)<br />
Rating dummy -0.493 ∗ (0.243)<br />
Government bonds yield -0.008 (0.005)<br />
Predictability indicator 0.057 ∗ (0.024)<br />
Intercept -0.116 ∗ (0.045)<br />
Significance levels: † : 10% ∗ : 5% ∗∗ : 1%<br />
One can see on this table that this estimator of predictability is largely significant (1.9%<br />
threshold) and that some other regressors are impacted as well. In particular, firstly, the change<br />
in the yield of Belgian government bonds on the secondary market and the square of the return<br />
of the Euro Stoxx 50 are both less significant than before 66 . Secondly, the political indicator’s<br />
significance is also impacted but positively 67 .<br />
Therefore, it is important to consider the predictability, as we see that there is an anticipatory<br />
movement of the market prior to political events. This movement is significant for all three days<br />
preceding the event and is the most significant in t − 3, meaning that on average, it is three<br />
days before a political event happens that the market fluctuates the most.<br />
Changes in the Eonia and in the Euribor<br />
Bernanke and Kuttner (2005) find that an unexpected 25-basis-point rate cut of the federal<br />
funds rate (FFR) would typically imply an increase of about 1% in stock prices of the CRSP<br />
value-weighted index 68 . Even if the context is different, the approach brings some pieces of<br />
interesting information about a possible control variable that could have an impact on stock<br />
prices: the federal fund rate.<br />
However, this rate is a good control variable for the American market; indeed Bernanke and<br />
Kuttner (2005) worked with an American index. For Europe, fortunately, there is an equivalent<br />
short-maturity rate to the FFR, which is the Eonia 69 and which is the average rate at which<br />
European banks lend to each other overnight.<br />
66 Their thresholds are 9.5% and 12.4% respectively (instead of 2.8% and 11.1%), so they are still worth<br />
consideration.<br />
67 It is now at the 1.8% threshold, with a coefficient that is larger in absolute value.<br />
68 The CRSP (Center for Research in Security Prices) indices are considered as a benchmark for both academic<br />
research and investment. They are based on the NYSE, Amex, NASDAQ and Arca markets and are, therefore,<br />
an alternative to the S&P 500.<br />
69 Euro OverNight Index Average
43<br />
There also exists another European benchmark, very similar to the Eonia, which is the<br />
Euribor 70 , the Eurozone-equivalent of the Libor 71 (Euribor-rates.eu (2012)).<br />
Using the change in the Eonia does not show any significance, but using that of the Euribor<br />
(one-year maturity) does. It lies within the 10% significance upper bound and contributes to the<br />
explanation of the BEL20 index fluctuations, we will, therefore, keep it as a control variable. Its<br />
inclusion gives us table 5.7.<br />
Table 5.7: Regression of the BEL20 daily returns, adding<br />
the change in the interbank interest rate (one-year maturity<br />
Euribor) as a regressor.<br />
Variable Coefficient (Std. Err.)<br />
Main political indicator -0.244 ∗ (0.103)<br />
Euro Stoxx 50 return 0.811 ∗∗ (0.014)<br />
Euro Stoxx 50 return 2 0.007 † (0.004)<br />
Rating dummy -0.490 ∗ (0.243)<br />
Government bonds yield -0.008 (0.005)<br />
Predictability indicator 0.060 ∗ (0.024)<br />
Euribor change 0.074 † (0.044)<br />
Intercept -0.131 ∗∗ (0.046)<br />
Significance levels: † : 10% ∗ : 5% ∗∗ : 1%<br />
National inflation and money growth<br />
Feldstein (1980) shows that for the U.S. market, increased inflation had an adverse effect on<br />
stock prices. What is of particular interest to us is that national inflation can have an impact<br />
on the stock market. Similarly, monetary growth has been identified by Rozeff (1974) to be<br />
in favour of an increase in stock returns. The paper of Thorbecke (1997) about the effects of<br />
monetary policy on stock market returns backs up the view of Rozeff, at least in the short term.<br />
His findings support the hypo<strong>thesis</strong> that the causality is due to firms’ access to credit. It seems<br />
thus that national inflation is an interesting variable, worth including in our model.<br />
Testing for this relationship, our first approach is to use the monthly change in the Consumer<br />
Price Index in Belgium 72 as an estimator for inflation. Adding it as a regressor shows that this<br />
variable is not significant. Worse, it reduces the adjusted R 2 of the model. Therefore, we cannot<br />
use it.<br />
As alternative measures of inflation, we verify the relevancy of the change in M1, then M2<br />
then M3 73 . These three measures estimate the quantity of money in the Belgian economy going<br />
from the most liquid money (M1, principally constituted of demand deposit accounts), then M2<br />
(constituted of M1, plus saving deposits and slightly less liquid assets) and finally M3 (including<br />
longer-time deposits as well). When we use M1 or M2, the result does not show any closeness to<br />
significance. However, the control variable M3 is close to being significant and improves the<br />
adjusted R 2 . To be precise, the significance threshold reached by this variable is 16.6%. In<br />
literature, M3, or the sum of the liabilities of the financial intermediaries, was found by King and<br />
Levine (1993) to have an impact on economic growth. Therefore, it confirms that its inclusion<br />
in our model makes sense.<br />
70 EURo InterBank Offered Rate.<br />
71 London InterBank Offered Rate.<br />
72 Computed by the Belgian National Institute of Statistics.<br />
73 The data comes from Datastream and has one-month interval.
44<br />
However, several authors show that some problems arise if we want to use this variable, as it<br />
is identified as being largely subject to endogeneity. As was extensively established in previous<br />
literature, the causality effect goes in both ways between stock market returns and monetary<br />
growth. In particular, the link between the two has been investigated by Boudoukh et al. (1994),<br />
Bernanke and Gertler (2000), and D’Amico and Farka (2002), through analyses of monetary<br />
policies. D’Amico and Farka state that “[s]tock market fluctuations are likely to be an important<br />
determinant of monetary policy decisions because of their potential impact on macroeconomy”.<br />
Bernanke and Gertler (2000) mention that stock returns should be included as a regressor to<br />
estimate the impact of asset price volatility on monetary policy, because monetary policy could<br />
be pursuing other objectives, besides stabilisation of output and expected inflation 74 .<br />
These discussions brought us to verify a possible endogeneity between monetary growth and<br />
the return of the BEL20 index over the period of interest. We find that these variables are<br />
indeed endogenous. After correcting this endogeneity, as we did for the political indicator in<br />
section 5.2.2, we obtain the results reported in table 5.8.<br />
Table 5.8: Regression of the BEL20 daily returns, adding as<br />
a regressor the monthly growth of M3 (free of endogeneity)<br />
as an estimator for inflation.<br />
Variable Coefficient (Std. Err.)<br />
Main political indicator -0.240 ∗ (0.102)<br />
Euro Stoxx 50 return 0.812 ∗∗ (0.014)<br />
Euro Stoxx 50 return 2 0.007 † (0.004)<br />
Rating dummy -0.515 ∗ (0.242)<br />
Government bonds yield -0.009 † (0.005)<br />
Predictability indicator 0.058 ∗ (0.024)<br />
Euribor change 0.084 † (0.044)<br />
Money growth -0.030 † (0.016)<br />
Intercept -0.128 ∗∗ (0.045)<br />
Significance levels: † : 10% ∗ : 5% ∗∗ : 1%<br />
We can see from this table that money growth, when corrected for endogeneity, is significant<br />
(6.4% threshold) and that including it in the model increases the absolute value of the yield on<br />
Belgian government bonds, making it significant at a 10% threshold.<br />
One might wonder if using more than one instrumented variables is relevant, since it is not<br />
common in literature 75 . Wooldridge (2001), seen as a reference in econometrics 76 , uses several<br />
instrumented variables (with as many instruments) for estimating the impact of education and<br />
skin colour on wages. We therefore believe that it is relevant to apply a similar procedure:<br />
correcting more than one variable for endogeneity by using several instrumented variables and<br />
several instruments.<br />
State of the economy<br />
Romer and Romer (2007) use interesting control variables, not only to free the regressions from<br />
endogeneity and anticipatory movements, but also to evaluate the robustness of their paper.<br />
74 It is worth mentioning that some authors, such as Boudoukh et al. (1994), do not completely agree with this<br />
possible endogeneity, considering that the potential causal effects between monetary growth and the real economy<br />
are a question that is still open.<br />
75 To the best of our knowledge.<br />
76 Many thousands of sources cite his books and papers.
45<br />
Notably, they use the state of the economy, as measured by the lagged GDP growth (quarterly<br />
data). Some major differences remain, however, between their analyses and ours: i.e. firstly the<br />
topic varies greatly since they evaluate the macroeconomic effects of tax changes; secondly, the<br />
timeframe is substantially different since their analysis is made over half a century.<br />
GDP data is available for Belgium 77 , but only as quarterly data. We tried to add the<br />
lagged GDP of Belgium to our regression, and found that the lagged GDP is significant at a 5%<br />
threshold if we lag it of 30 to 55 days and even at the 1% level if we lag it of 55 days to 65 days.<br />
To be precise, it is 60-trading days (thus 12 weeks), which corresponds to about three months,<br />
and therefore the lag corresponds to a quarter.<br />
However, we will not include this lagged GDP growth as a regressor in the coming regressions<br />
for multiple reasons. First and foremost, since our timeframe is not even two years long, using<br />
this variable as a control would not be relevant for the analysis at hand, because only seven<br />
different measures can be made (because we have only quarterly data). Another reason, which<br />
should be sufficient for this decision not to include the lagged GDP growth, is that its addition<br />
seriously reduces the adjusted R 2 . It implies that if we add it, then a bigger fraction of the<br />
BEL20 daily returns is not explained by the model, even though the coefficient is significant.<br />
This variable seems, therefore, inappropriate for the specification of our model.<br />
Output<br />
As Blanchard (1981) mentions, “the effect of output on the stock market is ambiguous”, but he<br />
does not discard the possibility that output has an impact on the stock market. We therefore<br />
verify if including this variable as a regressor is relevant in our analysis.<br />
Using measures of the output such as the unemployment rate 78 or the net exports 79 show<br />
that for Belgium and over the period of interest, the output has no significant impact on the<br />
variations of the BEL20 index. The inclusion of these variables actually worsens the model,<br />
given the number of regressors. We, therefore, consider the output as irrelevant for the case at<br />
hand and we do not include it in the model.<br />
The reasons for this non-significance is likely to be that the Euro Stoxx 50 already captures<br />
the change in output. Indeed, as Belgium is such an open country (see section 2.2.2), its output<br />
is largely correlated with the output of other countries.<br />
Fluctuations in gold price<br />
Gold is often considered as a refuge currency against inflation. It seems therefore possible that<br />
in difficult times, more investors turn to gold instead of to the stock market. The return on gold<br />
is thus likely to affect the stock market.<br />
However, proceeding to the addition of the daily return on gold as a regressor 80 shows that<br />
this variable is not significant in our analysis. Thus, we will not take it into account.<br />
Sovereign debt risk<br />
The report about financial stability of the National Bank of Belgium (2011) mentions an<br />
intensification of market concerns with regard to the sovereign debt risk (these concerns were<br />
already present in 2010). The same report underlines that an increase of this risk has strong<br />
77 The data comes from the National Bank of Belgium (2012).<br />
78 The data comes from Datastream and were verified with the data coming from the National Bank of Belgium<br />
(2012) (monthly data).<br />
79 The data comes from Datastream (monthly data).<br />
80 The data comes from the National Bank of Belgium (2012).
46<br />
negative consequences for a country, since it would increase the financing cost of that country.<br />
An indicator of this risk would be useful for our analysis, since a stock market full of concerns<br />
seems less likely to generate positive returns than an optimistic stock market.<br />
Unable to find such an indicator for Belgium, we use an estimator of sovereign debt risk:<br />
the amount of the government’s debt itself 81 . We tried both for central government’s debt and<br />
for general government’s debt and the results are similar: non-significance. Thus, the debt of<br />
the Belgian government does not explain the fluctuations in the BEL20 index over the period<br />
of analysis. The reason behind it may be the same as for the state of the economy: that the<br />
data about the debt are only available quarterly, while our event-window is relatively short.<br />
Alternatively, it could simply be that the amount of the debt has no direct 82 impact on the<br />
stock market. Finally, it is also possible that the “rating” variable captures part of the sovereign<br />
debt risk, since the rating agencies use this risk to determine the countries rating. In any case,<br />
we will not use an explicit measure of the sovereign debt risk for our analysis.<br />
Conclusion about the control variables<br />
To summarise this section, the formal expression of our regression, with the control variables<br />
that we use, is the following:<br />
{BEL20 return} t = β 0 + β 1 {Main P olitical indicator} t<br />
+ β 2 {Euro Stoxx 50 return} t<br />
+ β 3 {Euro Stoxx 50 return} 2 t<br />
+ β 4 {Rating dummy} t<br />
+ β 5 {Y ield on government bonds} t<br />
+ β 6 {P redictability indicator} t<br />
+ β 7 {Euribor change} t<br />
+ β 8 {Money growth} t + u t (5.12)<br />
The results of this regression are contained in table 5.8, on page 44. However, this model<br />
may suffer from a weakness that we are about to verify: its residuals may not be constant over<br />
time. This common problem for financial econometrics is called heteroskedasticity. We cannot<br />
interpret the data before verifying if our model is subject to it.<br />
5.2.4 Heteroskedasticity: verification and correction<br />
A possible problem in least squares regressions is heteroskedasticity. We are in presence of<br />
heteroskedasticity when the residuals of a regression are not constant over time. Such a problem<br />
would result in a biased variance of the estimators, thereby directly affecting the standard errors<br />
and resulting in biased confidence intervals and significance thresholds.<br />
Harrington and Schrider (2002) deal with the problem of heteroskedasticity in event studies.<br />
They finish by advising to complete the OLS regressions with a Weighted Least Squares (WLS)<br />
approach, robust to arbitrary forms of heteroskedasticity. In this section, we start by verifying<br />
that we are in presence of heteroskedasticity, then we follow the procedure advised by Harrington<br />
and Schrider.<br />
81 The data comes from Datastream.<br />
82 We have seen that it has an indirect impact: a high debt drives the rating agencies to downgrade a country,<br />
which has a significant impact on the stock market.
47<br />
In order to check if the residuals of our model are heteroskedastic, we conduct a Breusch-<br />
Pagan test. First, we compute the residuals of equation 5.12, then we add the square of these<br />
residuals as a regressor in the model, which gives us the results of table 5.9.<br />
Table 5.9: Regression of the BEL20 daily returns, on all selected<br />
control variables and adding the squared residuals as a regressor for an<br />
heteroskedasticity check.<br />
Variable Coefficient (Std. Err.)<br />
Main political indicator -0.231 ∗ (0.101)<br />
Squared residuals of equation 5.12 0.185 ∗∗ (0.054)<br />
Euro Stoxx 50 return 0.815 ∗∗ (0.014)<br />
Euro Stoxx 50 return 2 0.006 † (0.003)<br />
Rating dummy -0.516 ∗ (0.239)<br />
Government bonds yield -0.008 (0.005)<br />
Predictability indicator 0.034 (0.025)<br />
Euribor change 0.090 ∗ (0.043)<br />
Money growth -0.030 † (0.016)<br />
Intercept -0.130 ∗∗ (0.450)<br />
Significance levels: † : 10% ∗ : 5% ∗∗ : 1%<br />
As one can notice, our regression is largely subject to heteroskedasticity (even at a 1%<br />
threshold, as the variable “squared residuals of equation 5.12” shows). We must, therefore,<br />
correct it before being able to draw any conclusion from the results. Easily-computed methods<br />
exist to correct heteroskedasticity. The one we use is based on a WLS approach, giving a<br />
different weight to observations depending on how well they behave (i.e., the “robust” tool of<br />
Stata). This yields standard errors that are asymptotically exact (Angrist and Pischke (2009)).<br />
The results of our model, robust to heteroskedasticity, are contained in table 5.10.<br />
Table 5.10: Regression of the BEL20 daily returns, on<br />
all selected control variables, with the residuals robust<br />
to heteroskedasticity.<br />
Variable Coefficient (Std. Err.)<br />
Main political indicator -0.240 ∗ (0.098)<br />
Euro Stoxx 50 return 0.812 ∗∗ (0.018)<br />
Euro Stoxx 50 return 2 0.007 (0.005)<br />
Rating dummy -0.515 ∗ (0.232)<br />
Government bonds yield -0.009 ∗ (0.004)<br />
Predictability indicator 0.058 (0.039)<br />
Euribor change 0.084 ∗ (0.040)<br />
Money growth -0.030 † (0.016)<br />
Intercept -0.128 ∗ (0.058)<br />
Significance levels: † : 10% ∗ : 5% ∗∗ : 1%<br />
As table 5.10 contains the final results of our model, we interpret it in section 5.2.10. What<br />
we can already notice, as a comparison with our non-robust model, is that the standard error<br />
of the square of the returns of the Euro Stoxx 50 and the standard error of the estimator for<br />
the predictability have increased. Their respective coefficients do not lie in the 10% significance<br />
area anymore.
48<br />
5.2.5 Autocorrelation: verification for both the returns and the residuals<br />
Another possible problem with financial time series is that the returns are autocorrelated. In<br />
other words, the return in time t is influenced by the return in time t − 1. Autocorrelation is a<br />
problem because it would contradict one of the assumptions of the least squares models: that<br />
the returns are independent and identically distributed (IID). We start with a verification of a<br />
simple linear form of autocorrelation of the returns, then also verify if the disturbances of the<br />
model are serially correlated.<br />
Autocorrelation: verification for the BEL20 daily returns<br />
The simple linear form is formally expressed as follows:<br />
where<br />
• r t is the return considered at time t and<br />
r t = α + βr t−1 + ɛ t (5.13)<br />
• α, β and ɛ are respectively the intercept, the coefficient of the lagged returns and the<br />
residuals of the model.<br />
Fitting equation 5.13 to the BEL20 daily returns, no evidence of autocorrelation is found.<br />
The BEL20 index returns are therefore IID. We also find that, as predicted by the theory, they<br />
have a zero-mean.<br />
This test of autocorrelation corresponds to the simplest approach to testing for unit root, i.e.<br />
testing that after a shock the series has a tendency to come back to the trend. Testing for unit<br />
root can be better specified, by using a dynamically complete model. We do it in the extensions:<br />
section 5.3.1.<br />
Autocorrelation: verification for the disturbances of the model<br />
In our regression model, not only do we have to verify a possible autocorrelation of the returns<br />
but we must also consider whether the disturbances of the model are serially correlated, i.e.<br />
if they are not IID. Probably the most well-known test of serial correlation, constructed with<br />
the residuals, is the Durbin-Watson (DW) statistics, based on Durbin and Watson (1950) and<br />
Durbin and Watson (1951). The statistic is computed as follows:<br />
DW =<br />
∑ Tt=2<br />
(û t − û t−1 ) 2<br />
∑ Tt=1 û 2 t<br />
(5.14)<br />
where<br />
• û t is the disturbance of the least squares regression at time t.<br />
The DW statistic lies within the [0, 4] interval and if it differs significantly from value 2, then<br />
we can assume that the residuals of the least squares regression are autocorrelated. With our<br />
model, the DW statistic yields a value of 0, indicating that the residuals are certainly not IID.<br />
In order to correctly fit the model, given this result, we need to use an autoregressive process.<br />
We proceed to such process in further sections (5.3.3 and 5.3.4), however since it requires a<br />
significantly more advanced knowledge of econometrics, we introduced it as an extension.<br />
The fortunate thing, however, is that even though the residuals are serially correlated, it<br />
does not imply bias of the least squares estimators computed above. The coefficients previously<br />
presented are therefore still consistent.
49<br />
5.2.6 Anticipation and late reaction effects<br />
Glascock et al. (1987) find that daily stock prices react significantly to anouncements of Moody’s,<br />
but this adjustment is lagged. This result convinces us that it is possible that the effect of the<br />
political events on the stock market is lagged, i.e. that a fraction of the investors have a delayed<br />
reaction to the events. The other way round, we believe that it is possible that the market<br />
anticipates events. These two verifications are the purpose of this section. For each, we proceed<br />
to an analysis of the results with a lag or an anticipation of one, two or three days. We do not<br />
go further than three days, because it is unlikely that the market needs more than three days to<br />
adjust or that it significantly anticipates more than three days in advance 83 .<br />
Late reaction: lagging the indicator<br />
In order to have a well-specified model for the lagged indicator analysis, we have to re-consider<br />
an assumption that we made: endogeneity. Previously, we believed that political events have<br />
an impact on the stock market and that the stock market has an impact on the occurence of<br />
the political events. Now that we lag the indicator, we have to envisage that it might not be<br />
endogenous anymore. It is indeed likely that political events have an impact on the stock market<br />
on the days following the events. However, it is not possible that the returns of the BEL20 index<br />
on the days following a political event have an impact on the occurence of this event. In other<br />
words, an event cannot possibly be influenced by the daily return of a future date. Therefore,<br />
no endogeneity should be assumed for this section.<br />
The results of the regressions using a lagged version of the main political indicator 84 are<br />
clear: there is no “late reaction effect”, as the lagged indicator is not significant in the model.<br />
We present the results of a one-day lagged version of the main political indicator in table 5.11.<br />
We can see on this table that the coefficients, standard errors and significances of all other<br />
regressors are not very different than previously, evidencing robustness of the model.<br />
Table 5.11: Regression of the BEL20 daily returns, using a one-day lagged<br />
version of the main political indicator as a regressor.<br />
Variable Coefficient (Std. Err.)<br />
Main political indicator, lagged of one day -0.023 (0.101)<br />
Euro Stoxx 50 return 0.807 ∗∗ (0.014)<br />
Euro Stoxx 50 return 2 0.006 † (0.004)<br />
Rating dummy -0.519 ∗ (0.243)<br />
Government bonds yield -0.008 † (0.005)<br />
Predictability indicator 0.056 ∗ (0.025)<br />
Euribor change 0.084 † (0.044)<br />
Money growth -0.030 † (0.016)<br />
Intercept -0.122 ∗∗ (0.046)<br />
Significance levels: † : 10% ∗ : 5% ∗∗ : 1%<br />
The hypo<strong>thesis</strong> that the coefficient of the one-day lagged version of the main political<br />
indicator is different from zero cannot be rejected. The result is similar for the different lags<br />
83 Except for one particular event: if a piece of news makes the occurence of the event very likely, then the<br />
market could shift abruptly, several days in advance. However, as we consider an indicator made of a set of<br />
multiple events, our assumption seems reasonable.<br />
84 To be more precise, we keep the same control variables as for our main model, we do not correct for endogeneity<br />
of the lagged political indicator and the results do not vary whether we correct for heteroskedasticity or not.
50<br />
that we used, the entire reaction of the stock market to the political events seems therefore to<br />
occur no later than on the day of the events.<br />
Anticipating the events<br />
As for the lagged-indicator analysis, we have to consider if the presence of endogeneity is likely<br />
or not for this new specification of the model. With an “anticipation analysis”, firstly, we wonder<br />
if the stock market a few days before the political event has an impact on the occurence of this<br />
event. We believe that it is indeed likely that events are somehow a response to good or bad<br />
conditions in the stock market. Secondly, we wonder if a political event might have an influence<br />
on the stock market a few days before this event. Since it is likely that investors anticipate<br />
political events, we believe that this influence indeed exists. This two-way causality relationship<br />
convince us to use an endogeneity-corrected anticipated indicator for this section.<br />
As for the lagged-indicator analysis, the results that we find by advancing the political<br />
indicator by one or more days show non-significance, no matter how many days of anticipation<br />
we use. In particular, table 5.12 show the results with a one-day anticipation of the main political<br />
indicator.<br />
Table 5.12: Regression of the BEL20 daily returns, using a one-day anticipated<br />
version of the main political indicator as a regressor.<br />
Variable Coefficient (Std. Err.)<br />
Main political indicator, advanced by one day 0.052 (0.106)<br />
Euro Stoxx 50 return 0.807 ∗∗ (0.014)<br />
Euro Stoxx 50 return 2 0.006 † (0.004)<br />
Rating dummy -0.545 ∗ (0.249)<br />
Government bonds yield -0.008 † (0.005)<br />
Predictability indicator 0.053 ∗ (0.025)<br />
Euribor change 0.083 † (0.044)<br />
Money growth -0.030 † (0.016)<br />
Intercept -0.118 ∗ (0.046)<br />
Significance levels: † : 10% ∗ : 5% ∗∗ : 1%<br />
One can notice, however, that even if the coefficient of the advanced political indicator is<br />
insignificant, there seems to be a slight positive tendency. We believe that it is possible that the<br />
market anticipates an event, even over-anticipates it, then adjusts (in the opposite direction) on<br />
the day of the event (as we will argue in the conclusions of the model). This positive tendency for<br />
the one-day advanced political indicator seems in line with this possibility. But, let us mention<br />
it one more time, since the coefficient is insignificant, we cannot build a strong theory on it.<br />
5.2.7 Robustness of the political indicator: dropping the events, each in turn<br />
To verify that our results are robust, one possible check consists of dropping key events one by<br />
one, and verifying if the coefficient of the indicator is unwavering or if it fluctuates significantly.<br />
If the coefficient remains steady, then it proves that the political indicator is robust, since it is<br />
not a particular event that biasses the whole indicator. This is the first robustness check that<br />
we investigate.<br />
Fitting 23 new least squares regressions, each time dropping a significant event, for each of<br />
the 23 non-zero values of the main political indicator, we find that the indicator is robust to a<br />
certain degree. In particular, the coefficient of the political indicator fluctuates between −0.2020
51<br />
and −0.2688. The gap is relatively important, but this result does not fundamentally change<br />
the conclusions previously reached: even at its least significant value, the political indicator still<br />
lies within the 3% significance threshold, testifying to its robustness.<br />
If we compute the mean of these coefficients, we obtain −0.23990, while the coefficient of<br />
the regression with all events is −0.23988. The fact that these two values are so close evidences<br />
robustness of our main political indicator.<br />
5.2.8 Robustness of the political indicator: alternative indicators<br />
The second robustness check consists of replacing the main political indicator that we have used<br />
so far by the other versions of the indicator, that we introduced in section 3.3. We use the same<br />
control variables as previously and follow the same approach with regard to endogeneity and<br />
heteroskedasticity. That is, we fit equation 5.12, just replacing the main political indicator by<br />
each alternative version in turn, using endogeneity-corrected indicators and residuals robust to<br />
an arbitrary form of heteroskedasticity.<br />
Regressing with these other versions of the political indicator is very useful, as it confirms<br />
the intuitive conclusions that we could draw from previous regressions and it gives even more<br />
information about the impact of political events on the returns of the BEL20 index. Let us<br />
now investigate one by one each of these alternative versions of the political indicator that we<br />
established.<br />
Separate indicators for positive and negative events<br />
The main political indicator that we used so far was built on the combination of a dummy<br />
variable for the events favourable to the formation of a government and of another dummy<br />
variable for the events unfavourable to the formation of a government. Our results with the<br />
main political indicator (see table 5.10) indicated a negative coefficient and therefore, on average<br />
a positive reaction of the market after negative events and reversely, a negative reaction of the<br />
market after positive events. The estimated coefficient was about −0.24. We will now be able to<br />
verify if the reactions to negative and to positive events are indeed in the reverse directions and<br />
if one of the two types of event drives the coefficient of the main political indicator or if both<br />
are significant.<br />
Table 5.13: Regression of the BEL20 daily returns, on all selected<br />
control variables, with the residuals robust to heteroskedasticity and<br />
with separate indicators for positive and negative events.<br />
Variable Coefficient (Std. Err.)<br />
Significant positive event dummy -0.402 ∗ (0.162)<br />
Significant negative event dummy 0.118 (0.123)<br />
Euro Stoxx 50 return 0.808 ∗∗ (0.018)<br />
Euro Stoxx 50 return 2 0.007 (0.005)<br />
Rating dummy -0.519 ∗ (0.232)<br />
Government bonds yield -0.008 † (0.004)<br />
Predictability indicator 0.056 (0.039)<br />
Euribor change 0.083 ∗ (0.039)<br />
Money growth -0.030 † (0.016)<br />
Intercept -0.125 ∗ (0.058)<br />
Significance levels: † : 10% ∗ : 5% ∗∗ : 1%
52<br />
As table 5.13 shows, our intuition for the sign of the coefficients was correct. However several<br />
comments are worth mentioning. Firstly, the absolute value of the coefficient of the significant<br />
positive event dummy is much bigger than that of the significant negative event dummy (0.402<br />
versus 0.118). It seems, therefore, that the market reacts much more to positive events than<br />
to negative events. Secondly, the standard errors of both coefficients are bigger than for the<br />
main political indicator. It is likely to be due to the smaller number of non-zero values for<br />
each of these two indicators. Thirdly, as the consequence of the smaller coefficient and larger<br />
standard errors, the significance of the negative event dummy has plummeted, such that we<br />
can no longer reject the hypo<strong>thesis</strong> that its coefficient is equal to zero. However, we can still<br />
observe a positive tendency. With regards to the significance of the positive event dummy, it<br />
almost reaches the 1% threshold and is even more significant than the main political indicator<br />
presented earlier. Finally, the coefficients and standard errors of the other variables have not<br />
meaningfully changed, evidencing their robustness in this model.<br />
Significant event dummy<br />
With the results we have found so far, mixing positive and negative events in one indicator taking<br />
only value 1 or 0, no matter what kind of event occurs, is highly unlikely to give significant<br />
results. Proceeding to a regression with the significant event dummy instead of the main political<br />
indicator confirms this intuition: evidence of non-significance is found. We do not include the<br />
related table, since it does not contain any other relevant new information.<br />
All political events<br />
The next alternative indicator consists of selecting not only the most significant political events,<br />
but also the less significant ones (the appendices show the detail of which event is selected). The<br />
results yielded by the regression with this indicator are summarised in table 5.14<br />
Table 5.14: Regression of the BEL20 daily returns, on all selected<br />
control variables, robust to heteroskedasticity, using more<br />
political events in the political indicator.<br />
Variable Coefficient (Std. Err.)<br />
All political events indicator -0.138 † (0.079)<br />
Euro Stoxx 50 return 0.810 ∗∗ (0.018)<br />
Euro Stoxx 50 return 2 0.006 (0.005)<br />
Rating dummy -0.516 ∗ (0.232)<br />
Government bonds yield -0.008 † (0.004)<br />
Predictability indicator 0.059 (0.040)<br />
Euribor change 0.086 ∗ (0.039)<br />
Money growth -0.030 † (0.016)<br />
Intercept -0.129 ∗ (0.059)<br />
Significance levels: † : 10% ∗ : 5% ∗∗ : 1%<br />
As we can see, the indicator’s significance is smaller than the significance of the main political<br />
indicator. It shows that the stock market reacts less (if at all) to the less meaningful political<br />
events. The standard error of the new indicator is also smaller, which allows the coefficient to<br />
be still significant at the 10% threshold.
53<br />
Main political indicator 2<br />
Using the indicator taking value 1 or −1 not only on the day of the most important political<br />
events, but also on the days following these events, i.e. the indicator that we called “main<br />
political indicator 2”, we obtain the results reported in table 5.15.<br />
Table 5.15: Regression of the BEL20 daily returns, on all<br />
selected control variables, with the residuals robust to heteroskedasticity<br />
and using the “main political indicator 2”<br />
purged from endogeneity.<br />
Variable Coefficient (Std. Err.)<br />
Main political indicator 2 -0.153 ∗ (0.067)<br />
Euro Stoxx 50 return 0.811 ∗∗ (0.018)<br />
Euro Stoxx 50 return 2 0.007 (0.005)<br />
Rating dummy -0.514 ∗ (0.233)<br />
Government bonds yield -0.009 ∗ (0.004)<br />
Predictability indicator 0.059 (0.040)<br />
Euribor change 0.084 ∗ (0.040)<br />
Money growth -0.030 † (0.016)<br />
Intercept -0.131 ∗ (0.059)<br />
Significance levels: † : 10% ∗ : 5% ∗∗ : 1%<br />
As the table shows, the coefficient of the political indicator has dropped by 0.09 percentage<br />
point, compared to table 5.10. Even though the standard errors are smaller as well, the indicator<br />
is less significant than before, but still lies within the 5% threshold. This loss of significance<br />
indicates that the effect of an event happens mainly on the day of the event and not on the day<br />
following the event. This result confirms what we found when investigating the late reaction<br />
effect of the stock market, in section 5.2.6.<br />
Significant event dummy 2<br />
As we found no significance for the variable “significant event dummy” and a decrease in the<br />
significance of the main political indicator when we add value 1 on the days following the events<br />
as well, we do not have great expectations of significance for the variable “significant event<br />
dummy 2”. The data confirms this intuition.<br />
All political events 2<br />
As for the variable “all political events”, the negative tendency of the indicator “all political<br />
events 2” is still present, but the statistic test cannot significantly reject the hypo<strong>thesis</strong> that the<br />
coefficient is equal to zero. Its coefficient drops to −0.067 with a standard error of 0.055.<br />
5.2.9 Robustness of the rating dummy: alternative indicator<br />
Finally, we verify the robustness of our “rating dummy” as well, by replacing this dummy by<br />
another indicator, built upon the same events but taking an incremental value for each event. In<br />
particular, instead of using a dummy variable taking value 1 only on the day of the modification<br />
to a negative outlook or the day of the downgrade, we can build a variable whose value increases<br />
for each of these dates. This approach makes sense from an economic point of view, since a
54<br />
downgrade is not an event that is likely to affect the BEL20 during one period only, but that is<br />
likely to affect it continuously (i.e. it is a persistent shock).<br />
We have, therefore, built this indicator, standardised for our period and thus starting at<br />
value 0 at the beginning of the period of interest. We increment this variable on four dates; on<br />
December 14, 2010, on May 23, 2011, on October 7, 2011 and on November 25, 2011 (section<br />
4.2 gives more detail about these particular events).<br />
If we replace the previously used rating dummy by this “rating indicator”, we obtain the<br />
results summarised in table 5.16.<br />
Table 5.16: Regression of the BEL20 daily returns on<br />
all selected control variables, with the political indicator<br />
purged from endogeneity and the residuals robust<br />
to heteroskedasticity, replacing the rating dummy by<br />
a more sophisticated indicator.<br />
Variable Coefficient (Std. Err.)<br />
Main political indicator -0.218 ∗ (0.092)<br />
Euro Stoxx 50 return 0.812 ∗∗ (0.018)<br />
Euro Stoxx 50 return 2 0.007 (0.005)<br />
Rating indicator -0.048 ∗ (0.023)<br />
Government bonds yield -0.009 ∗ (0.004)<br />
Predictability indicator 0.070 † (0.040)<br />
Euribor change 0.070 (0.045)<br />
Money growth -0.025 (0.016)<br />
Intercept -0.101 † (0.060)<br />
Significance levels: † : 10% ∗ : 5% ∗∗ : 1%<br />
The coefficient of the new indicator is much smaller than that of the previously used dummy,<br />
but its significance is similar. We could expect such change in the coefficient, since many more<br />
observations are now non-zero valued and the value of some is also bigger. We can interpret these<br />
results as follows: when one of the main rating companies downgrades Belgium or places it under<br />
a negative outlook, then the daily returns of the BEL20 index is significantly and continuously<br />
negatively affected. In other words, it does not just cause a one-day fall then bounces back<br />
and fully recovers, it is, instead, a persistent shock. However, it is worth remembering, as the<br />
previously used rating dummy showed, that the impact on the day of the event is much bigger,<br />
which makes sense since this change might appear as unexpected for some investors.<br />
5.2.10 Summary of the main model<br />
Let us briefly summarise the results reached in this section about the impact of political events<br />
on the daily returns of the BEL20 index.<br />
First and foremost, the results of the main model are reported on page 47, in table 5.10,<br />
which puts together the results of the analysis after correcting for both endogeneity of the<br />
political indicator and heteroskedasticity of the residuals. This model uses as control variables<br />
the daily returns of the Euro Stoxx 50, their square, an indicator for the changes in rating, the<br />
changes in the yield on Belgian government bonds, an indicator of the predictability, the changes<br />
in the Euribor and the growth of money. The two control variables that do not reach the 10%<br />
threshold in this model are not far from being significant, as they are only a few percents above<br />
this threshold. Each control variable used is useful, since dropping any of them decreases the<br />
coefficient of determination (the adjusted R 2 ), i.e. the share of the fluctuations of the BEL20
55<br />
index daily returns that is explained by the regressors 85 . One can observe that the political<br />
indicator is almost significant at a 1% threshold 86 , meaning that the political events that we<br />
identified have had a meaningful effect on the BEL20 index returns. To be more precise, the<br />
coefficient indicates that, all other things being equal, when a positive event took place, the<br />
BEL20 index daily return decreased on average. And when a negative event happened, the<br />
daily return increased, on average. These movements are significant on the particular day of<br />
the event and the average fluctuation has an absolute value of about 0.24 percentage points.<br />
The negative sign leads us to believe that the Belgian stock market anticipates events and even<br />
over-anticipates their effect, then readjusts when the event actually takes place.<br />
Secondly, even though we expected that the market would partially anticipate the outcome<br />
of the events and would partially react with a lag to these events, no such evidence can be found.<br />
It seems therefore that if there is some anticipation of the outcome of political events, this<br />
anticipation is slightly absorbed by the market over several days, such that there is no sudden<br />
fluctuation due to this event before the day when the event actually takes place. Similarly, the<br />
market seems to have fully absorbed the news on this particular day, such that no significant<br />
lagged reaction can be found. Though, even if the anticipation is not significant, there seems<br />
to be a positive tendency on the day before the event (the stock market yields higher returns<br />
before positive events and smaller before negative event). This tendency backs up our theory of<br />
over-anticipation of the market.<br />
Thirdly, we also identified that we face a relative robustness of the political indicator.<br />
Dropping some events may change the coefficient of this indicator, dropping to about −0.20,<br />
but even in this case, the political indicator is still significant at a 3% threshold, testifying from<br />
robustness.<br />
Fourthly, we found that positive events have on average a bigger (negative) net impact on<br />
the BEL20 than negative events (positive impact). The impact of positive events is about −0.40<br />
percentage point and is very significant, while that of negative events is about 0.12 percentage<br />
point but this result is not significant at a 10% threshold.<br />
Fifthly, data shows that the market reacts to a lesser extent to less important political events<br />
than to the most meaningful ones.<br />
Sixthly, the rating dummy used in the analysis is robust as well, since replacing it by an<br />
alternative indicator does not fundamentally change its significance, nor does it substantially<br />
affect the coefficient of the other regressors of the model.<br />
Last but not least, we find that the BEL20 index daily return over the period of analysis<br />
bears the properties of financial time series found in similar previous literature. In particular,<br />
(i) the daily returns are independent and identically distributed with a zero-mean and (ii) the<br />
disturbance of the simple least squares models used show significant serial correlation, which<br />
implies that an autoregressive process would better fit the data. We now turn to the extensions,<br />
where we use such a process to model the volatility of the BEL20 daily returns.<br />
85 Let us remember that the adjusted R 2 , contrary to the R 2 , takes into account the number of regressors. In<br />
other words, if an independent variable added as a regressor does not significantly improve the explanation of the<br />
fluctuations of the dependent variable, then the adusted R 2 would decrease (while the R 2 can only increase).<br />
86 The significance threshold of this indicator is 1.4%.
56<br />
5.3 Extensions<br />
“A politician needs the ability to foretell what is going to happen tomorrow, next week, next month,<br />
and next year. And to have the ability afterwards to explain why it didn’t happen.”<br />
Winston Churchill, 1965<br />
This section enlarges the scope of the <strong>thesis</strong> in different respects. We analyse topics that<br />
are more advanced than the simple previous regressions, which mainly consisted of using the<br />
basic econometric tools through a dummy variable event study. This section is an interesting<br />
complement to the analysis conducted so far, as it reaches slightly different conclusions, by<br />
using more sophisticated tools. We start by verifying if our data has a unit root, a necessary<br />
step before being able to investigate the three models of interest for these extensions. These<br />
models, that we review in turn, are the error correction model, and two augmented versions of<br />
the autoregressive conditional heteroskedasticity model: one linear in its parameters and the<br />
other logarithmic, allowing thereby more flexibility of the fit.<br />
5.3.1 Testing for unit root<br />
In section 5.2.5, we briefly mentioned the rationale for unit root testing. Let us investigate it<br />
here in more detail. We first introduce the necessary concepts for a complete understanding of<br />
the model; then we proceed to an augmented version of a Dickey-Fuller (DF) test.<br />
Stationarity, for a time series, is the attribute of remaining constant over time. In econometrics,<br />
a time series is stationary if its mean, its variance and its autocorrelation do not change<br />
when they are shifted in time.<br />
If a time series is not stationary, then it can be differentiated until it is made approximately<br />
stationary. The degree of integration (introduced by Granger (1981)) can be understood as follows;<br />
if a time series needs to be differentiated d times to be made approximately stationary, then its<br />
degree of integration is d. In order to check for cointegration and to apply an autoregressive<br />
conditional heteroskedasticity model, it first needs to be verified that our data is stationary or if<br />
it needs to be integrated.<br />
Testing for unit root consists of testing if a shock at time t has an impact not only at time t,<br />
but also in the following periods. In other words, it tests if the series takes some time to adjust<br />
(if it ever does). For example, the daily closing price of the BEL20 index over the period we<br />
analyse in this <strong>thesis</strong> is found to have a unit root 87 , in other words, the price of the index is<br />
largely dependent on its value the day before and does not bounce back after a shock, which<br />
seems very intuitive.<br />
A series has a unit root if and only if β = 1 in equation 5.13 (page 48). We have already seen<br />
that under the simple specification of equation 5.13, the return on the BEL20 index does not<br />
have a unit root. However, this model was not dynamically complete, since it did not take into<br />
account the values of every previous return in the series. A dynamically complete model would<br />
follow a Dickey-Fuller distribution and unit root for this distribution can be tested through a<br />
Dickey-Fuller test, as established by Dickey and Fuller (1979).<br />
We proceed to a more recent version of this test, called an augmented DF-GLS 88 test, a<br />
model that was suggested by Elliott et al. (1996). The DF-GLS test is applied with 1 to k<br />
lags, where k is selected by the Schwert Criterion (see Schwert (1989)). This test consists of<br />
estimating a regression of the following equation:<br />
∆y t = α + βy t−1 + δt + ζ 1 ∆y t−1 + ... + ζ k ∆y t−k + u t (5.15)<br />
87 To be exact, we cannot reject the hypo<strong>thesis</strong> of the presence of a unit root.<br />
88 Acronym for “Dickey–Fuller Generalised Least Squares”.
57<br />
where ∆ represents the change from one period to the next and y is the variable whose unit root<br />
we want to test. Then, we test the null hypo<strong>thesis</strong> that y t has a unit root against the alternative<br />
hypo<strong>thesis</strong> that β = δ = ζ 1 = ... = ζ k = 0, in other words, that y t follows a random walk.<br />
Proceeding to this test with our data shows that the results are highly significant (1%<br />
threshold) for each of the 1 to 17 lags selected by the Schwert criterion, which means that the<br />
null hypo<strong>thesis</strong> is rejected. Therefore, even a dynamically complete model evidences that the<br />
daily return on the BEL20 index does not have a unit root. In other words, it follows a random<br />
walk.<br />
This absence of a unit root confirms that the data do not need to be differentiated before<br />
applying the autoregressive models of the coming sections. Understanding stationarity is also<br />
key for the application of the error correction model, to which we now turn.<br />
5.3.2 Error correction model<br />
An error correction model allows us to identify both the long-term and the short-term trends of<br />
a time series. As a complement to the analysis of section 5.2, it would be interesting to have<br />
statistical evidence suggesting whether the impact of political events has a long-term effect or if<br />
it is only short-term. The model of this section was first established for two time series that are<br />
cointegrated, but it can also be applied to stationary time series (according to authors that we<br />
will cite), and to more than two series. In this section, we review in turn the original model of<br />
error correction, then argue why it can be applied for stationary data and finally, we present an<br />
augmented version of the model: the vector error correction model (VECM), which consists of<br />
using more than one independent variable. Ultimately we are able to gain some insights into the<br />
short-term/long-term components of our independent variables.<br />
Error correction model for cointegrated time series (original model)<br />
As Engle and Granger (1987) established, for two or more time series x t , if it is possible to find<br />
a linear combination α ′ x t that is stationary, then “the time series x t are said to be cointegrated<br />
with cointegrating vector α”. In other words, if these series have a degree of integration 1<br />
(i.e. they are “first-order integrated”) while there exists a vector of coefficents that can form<br />
a stationary linear combination of them, then the series are cointegrated. And cointegration<br />
implies, in short-term dynamics, the need to use an error correction model.<br />
In their paper, Engle and Granger (1987) suggested a model of error correction for cointegrated<br />
time series. This Engle-Granger model is defined in two steps and needs all data to be previously<br />
made stationary. The first step consists of a simple regression of the control variable (denoted<br />
X in the following equations), for which we isolate the residuals:<br />
The residuals are given by:<br />
Y t = α + βX t + ɛ t (5.16)<br />
ɛ t = Y t − βX t − α (5.17)<br />
The second step consists of a regression of the change in Y on the lagged change in X and the<br />
lagged errors:<br />
where<br />
∆Y t = β 0 + β 1 ∆X t−1 − γɛ t−1 + u t (5.18)
58<br />
• β 1 captures the short-term effect of X t−1 on Y t . In other words, the short term effect of<br />
the regressor one period before t on the dependent variable in period t.<br />
• γ captures the rate of adjustment of the system, in response to a shock. Since it measures<br />
how fast the errors of the model are corrected over time (which gave its name to the<br />
model), it can thus be understood as the “speed of error correction”.<br />
• u t are the disturbances of the model.<br />
Error correction model for stationary data<br />
Econometricians using stationary data may want to know what the short-term and long-term<br />
effects of their independent variables are and therefore they may want to use an error correction<br />
model for stationary data (and not just for integrated data). Whether the error correction<br />
model can be applied to stationary data has been at the core of many debates (see Beck (1992),<br />
Beck (1993) and Durr (1993) 89 ). Keele and De Boef (2005) 90 devote particular attention to the<br />
topic and find empirical evidence that this model remains valid even for stationary data. We<br />
follow his approach: we proceed to an error correction model with our data and assume that<br />
the results of this model are correct, even though the current debate on the topic is not clear<br />
whether this approach is justified.<br />
Vector error correction model<br />
The vector error correction model (VECM) is based on the approach of Engle and Granger<br />
(1987), but uses a vector of independent variables instead of only one regressor. This approach<br />
has one main drawback; since there is only one long-term coefficient, this coefficient reflects<br />
the long-term effect of all independent variables taken together. The long-term coefficient<br />
can therefore not always be interpreted properly. However, the significance of the short-term<br />
coefficient of each independent variable indicates if the corresponding variable has any significant<br />
short-term effect or not on the dependent variable. If it does not, then we can assume that the<br />
impact of the regressor is mainly long-term. If it does, then we can assume that it has some<br />
effect in the short-term but we cannot say anything about its long-term effect.<br />
Adapting the approach of Engle and Granger (1987), the first step (equation 5.16) needs<br />
only to be adjusted for a vector:<br />
where<br />
Y t = α + βX t + ɛ t (5.19)<br />
ɛ t = Y t − βX t − α (5.20)<br />
• X t represents the vector of all the independent variables of the model.<br />
For our analysis, we first isolate the residuals of equation 5.12 (page 46).<br />
89 It is worth mentioning that all of these papers have been published in the same journal: Political Analysis.<br />
90 It is worth mentioning that this reference is a working paper and has, therefore, never been published.
59<br />
where<br />
The second step, using our independent variables, is formalised as follows:<br />
∆{BEL20 return} t = β 0 +β 1 ∆{Main P olitical indicator} t−1<br />
+β 2 ∆{Euro Stoxx 50 return} t−1<br />
+β 3 ∆{Euro Stoxx 50 return} 2 t−1<br />
+β 4 ∆{Rating dummy} t−1<br />
+β 5 ∆{Y ield on government bonds} t−1<br />
+β 6 ∆{P redictability indicator} t−1<br />
+β 7 ∆{Euribor change} t−1<br />
+β 8 ∆{Money growth} t−1<br />
+γɛ t−1 + u t (5.21)<br />
• β i captures the short-term effect of the corresponding i’s regressor.<br />
• γ captures the long-term effect of all regressors combined.<br />
The results of equation 5.21 are reported in table 5.17 91 .<br />
Table 5.17: Vector error correction model, with the residuals corrected for heteroskedasticity.<br />
Variable Coefficient (Std. Err.)<br />
∆{Main P olitical indicator} t−1 0.512 ∗ (0.233)<br />
∆{Euro Stoxx 50 return} t−1 -0.312 ∗∗ (0.054)<br />
∆{Euro Stoxx 50 return} 2 t−1 -0.013 (0.018)<br />
∆{Rating dummy} t−1 1.458 ∗ (0.633)<br />
∆{Y ield on government bonds} t−1 0.042 ∗∗ (0.015)<br />
∆{P redictabilityindicator} t−1 -0.038 (0.124)<br />
∆{Euribor change} t−1 0.028 (0.129)<br />
∆{Money growth} t−1 0.063 (0.216)<br />
Lagged residuals of equation 5.19 -1.366 ∗∗ (0.261)<br />
Intercept -0.004 (0.087)<br />
Significance levels: † : 10% ∗ : 5% ∗∗ : 1%<br />
What table 5.17 suggests is primarily that some of the regressors have long-term effects<br />
(since the coefficient for the lagged residuals is highly significant). Secondly, it also indicates that<br />
the square of the Euro Stoxx 50 daily returns, the estimator of the predictability, the changes in<br />
the Euribor and the growth of M3 seem not to have significant short-term effects. Finally, it<br />
suggests that political events, the returns of the Euro Stoxx 50, the change in rating of the main<br />
rating companies and the changes in the yield on government bonds have short-term effects on<br />
the return of the BEL20. It does not, however, erradicate the possibility that these variables<br />
also have a long-term effect: we just cannot draw any conclusions about it from this model.<br />
91 This regression, initially largely subject to heteroskedasticity of the residuals, has been corrected and is robust<br />
to any arbitrary form of heteroskedasticity.
60<br />
5.3.3 Generalised autoregressive conditional heteroskedasticity model<br />
Variance is a measure of volatility. As Engle (1982) mentions, “[i]n financial theory, the variance<br />
as well as the mean of the rate of return are determinants of portfolio decisions”. Moreover, if<br />
the disturbances of a standard regression at time t are found to be correlated with those at time<br />
t − 1, then we are in a situation of autocorrelation. In such a case, the standard errors (and<br />
thus the variance as well) are likely to be biased downward, thus affecting the significance of the<br />
results. Correctly identifying the variance is, therefore, crucial.<br />
Rationale of the GARCH model<br />
Traditional econometric models, such as those we have used above (ordinary least squares and<br />
two-stage least squares) assume that the disturbances are independent and identically distributed<br />
(IID). It implies that the variance of the regression is constant over time (i.e. the residuals<br />
are homoskedastic). However, this assumption was found to be “very strongly” rejected by<br />
Hsieh (1991) for stock returns. In the 1980s, models releasing this IID implausible assumption<br />
were established. In particular the autoregressive conditional heteroskedasticity model (ARCH),<br />
introduced by Engle (1982), enables a fraction of the variance to change over time, as a function<br />
of its past disturbances. This fraction is called the conditional variance. The rest of the variance,<br />
the unconditional variance, remains constant. With an ARCH model, the variance can, therefore,<br />
learn from its history and adjust over time 92 . Bollerslev (1986) generalised the approach of<br />
Engle (introducing the generalised ARCH or GARCH model), by allowing the variance to be<br />
not only a function of the past disturbances, but also a function of its own past values.<br />
We believe that it is likely that our data are subject to conditional heteroskedasticity because,<br />
several authors find evidence of such heteroskedasticity in daily asset price returns (notably<br />
Bollerslev (1986) and Hsieh (1991) but also 93 Theodossiou (1994), Koutmos and Theodossiou<br />
(1994) and Lobo and Tufte (1998)). In addition, Pynnönen (2005) establishes that ARCH-like<br />
models (in particular the GARCH model) are a better approach to represent the volatility of<br />
stock returns 94 . Indeed, these models are white noise processes, implying non-autocorrelated<br />
residuals (E(ɛ t |ɛ t−1 ) = 0).<br />
It seems also worth mentioning two other interesting qualities of ARCH processes for our<br />
analysis. Firstly, the daily returns of stocks are often subject to leptokurtic distributions (see<br />
the frequence distribution of the daily BEL20 returns over the period of analysis on figure A.2,<br />
page 82), i.e. fat-tailed data, common for stock returns, that an ARCH-like process can correct<br />
(Hsieh (1991)). Secondly, ARCH-like models also capture the effects of variables that would<br />
have been omitted in the estimated model.<br />
In this section, we apply a GARCH model to our results in order to have a relevant measure<br />
of the volatility.<br />
Application of a GARCH model<br />
As we saw previously, if the returns are stationary, then a GARCH process correctly generates<br />
data. We know, since section 5.3.1, that the daily returns of the BEL20 index is stationary. We<br />
can therefore apply the GARCH model without further consideration. This model will reveal if<br />
the variance of the residuals of the models used in section 5.2 were correctly specified. Let us<br />
92 This model, therefore, solves the problem of volatility clustering found in financial data by Mandelbrot (1963).<br />
As he claimed: “large changes tend to be followed by large changes, of either sign, and small changes tend to be<br />
followed by small changes”.<br />
93 The following authors are cited by Bernhard and Leblang (2006), page 185.<br />
94 However, the model also has limitations. As Gregory and Reeves (2010) note, ARCH models do not<br />
appropriately capture extreme movements of data, such as crashes of the stock market.
61<br />
start with a definition of autoregressive models and the theoretical specification of the model<br />
before applying it.<br />
Box and Jenkins (1970) define an autoregressive model in the following way: it is the<br />
expression of the value of a process at time t as a linear function of its previous values and of a<br />
shock. Formally, it can be expressed as:<br />
where<br />
ỹ t = φ 1 ỹ t−1 + φ 2 ỹ t−2 + ... + φ p ỹ t−p + a t (5.22)<br />
• ỹ is the deviation of the dependent variable y from its mean µ: ỹ = y − µ,<br />
• a t is an exogenous shock happening at time t,<br />
• φ v is the estimated coefficient attributed to the lagged deviation of the dependent variable<br />
at time t − v.<br />
The basic generalised autoregressive conditional heteroskedasticity model estimates the<br />
following equation:<br />
Where<br />
{BEL20 return} t = βX t + ɛ t (5.23)<br />
V ar(ɛ t ) = σ 2 t = γ 0 + A(σ t , ɛ t ) + B(σ t , ɛ t ) 2 (5.24)<br />
• βX t is the vector of control variables and their respective coefficient,<br />
• γ 0 is a constant in the model of the residuals’ variance,<br />
• A() and B() are functions that are added to an OLS regression 95 and that depend on σ t<br />
and ɛ t ,<br />
• ɛ t is the vector of residuals of equation 5.23 and<br />
• σ t is the vector of the standard deviations of the residuals ɛ t , at time t.<br />
This regression on our data gives us the results reported in table 5.18. The upper part of the<br />
table is the estimation of the impact of each regressor on the BEL20 index return. It corresponds<br />
to the analysis we made in 5.2, but using a different measure of the volatility. This volatility<br />
is given by the last three lines of the table, which fit the conditional variance estimate, as a<br />
function of its own lag and of a lag of the disturbance. It can be summarised as the following<br />
formula:<br />
where<br />
• ω is the intercept,<br />
• q is the order of the ARCH term ɛ 2 ,<br />
q∑<br />
p∑<br />
σt 2 = ω + α i ɛ 2 t−1 + β i σt−1 2 (5.25)<br />
i=1<br />
i=1<br />
• α i is the coefficient of the lagged squared disturbance of equation 5.23, which corresponds<br />
to L.arch in table 5.18,<br />
95 If A() = B() = 0, then the model is a simple linear regression.
62<br />
• p is the order of the GARCH term σ 2 and<br />
• β i is the coefficient of the lagged variance, which corresponds to L.garch in table 5.18.<br />
“GARCH(1,1) [i.e. the model used here] has been found to capture adequately stock return<br />
volatility” (Pynnönen (2005)).<br />
Table 5.18: Generalised autoregressive conditional heteroskedasticity regression.<br />
Variable Coefficient (Std. Err.)<br />
Equation 1 : BEL20 return<br />
Main political indicator -0.153 (0.117)<br />
Euro Stoxx 50 return 0.799 ∗∗ (0.012)<br />
Euro Stoxx 50 return 2 0.002 (0.003)<br />
Rating variable -0.497 ∗ (0.243)<br />
Government bonds yield -0.009 † (0.005)<br />
Predictability indicator 0.040 † (0.021)<br />
Euribor change 0.074 † (0.039)<br />
Money growth -0.020 (0.014)<br />
Intercept -0.076 † (0.041)<br />
Equation 2 : ARCH<br />
L.arch 0.243 ∗∗ (0.063)<br />
L.garch 0.442 ∗∗ (0.133)<br />
Intercept 0.072 ∗∗ (0.024)<br />
Significance levels: † : 10% ∗ : 5% ∗∗ : 1%<br />
The results of table 5.18 can be interpreted as follows. The conditional variance is given by<br />
equation 5.26, whose estimated coefficients (given by the second equation), the intercept, the<br />
ARCH term and the GARCH term, have been added to the theoretical equation 5.25.<br />
σ 2 t = 0.072 + 0.243ɛ 2 t−1 + 0.442σ 2 t−1 (5.26)<br />
All three coefficients of this equation are highly significant, as table 5.18 shows. The<br />
conditional variance therefore increases with time, which evidences that our previous models (the<br />
simple OLS and 2SLS used in section 5.2) were too simplistic. In these previously used models,<br />
the variance was incorrectly specified, which implies that the significance of the coefficient might<br />
have been exaggerated.<br />
Now that we let the residuals change over time, the coefficients of the regressors (in the upper<br />
part of table 5.18) have changed. In particular, the impact of political events on the BEL20<br />
index is smaller, in absolute value, than before, while its standard error has increased. As a<br />
consequence, the significance of the indicator has decreased. The sign of the coefficient remains<br />
the same, indicating that, even though our previous analyses are likely to have overestimated<br />
the impact of political events on the BEL20 returns, the qualitative conclusion that we drew<br />
remains valid.<br />
Even though the flexibility allowed by this model can enhance the relevancy of the analysis, it<br />
is worth noting that the GARCH model suffers from some drawbacks. As Nelson (1991) presents,<br />
the GARCH model’s assumptions are sometimes violated and analysing the long-term effect of<br />
shocks with this model is not easy, since the usual measures of persistence do not agree. We will<br />
now turn to a non-linear model that, according to Nelson (1991), “meets these objections”.
5.3.4 Exponential generalised autoregressive conditional heteroskedasticity<br />
model<br />
Hsieh (1991) investigates why stock market returns are found not to follow independent,<br />
identically distributed processes. After reviewing exogenous changes in the environment and<br />
chaotic dynamics, he finds that the reason behind this rejection is conditional heteroskedasticity.<br />
However, even though we proceeded to a GARCH model on our data, it seems not to be enough<br />
to fully capture the non-linearity of stock returns. Hsieh (1991) uses a model more flexible than<br />
the ARCH or GARCH models and which accommodates the nonlinearity of stock returns better:<br />
the exponential generalised autoregressive conditional heteroskedasticity model (or EGARCH).<br />
Rationale of the EGARCH<br />
This model is attributed to Nelson (1991) 96 , who replaced the linear dependence of the GARCH<br />
model by a logarithmic dependence. Doing so, the EGARCH allows to better fit asymmetric<br />
responses of the variance of stock returns to the direction of the dependent variable. Simply put,<br />
it allows the variance to be bigger when the return is negative than when the return is positive.<br />
This is the reason why the EGARCH model is sometimes called a “leverage” or “asymmetric”<br />
volatility model (Engle and Viktor (1993)).<br />
Formally, the conditional variance estimated by the GARCH model (equation 5.25) is now<br />
modified to fit:<br />
q∑<br />
p∑<br />
log(σt 2 ) = ω + α i ɛ 2 t−1 + β i log(σt−1) 2 (5.27)<br />
i=1<br />
where the only modification to equation 5.25 is the logarithmic fit of the variance σ 2 and of its<br />
lagged value.<br />
Using an EGARCH model seems therefore an even more flexible solution than the GARCH<br />
that we used above. This intuition is confirmed by the comparison “GARCH vs. EGARCH” of<br />
Lee and Brorsen (1997). However, Engle and Viktor (1993) find evidence that the variability of<br />
the conditional variance might be overly high when using the EGARCH model. It is not clear<br />
whether the GARCH or the EGARCH model would better reflect the reality of the Belgian stock<br />
market during the 2010-2011 political crisis. Thereafter, we present the results of an EGARCH<br />
model, using the same specifications as for the previous model.<br />
Application of an EGARCH model<br />
Table 5.19 reports the result of the application of an EGARCH model.<br />
The estimation of the volatility, according to the EGARCH model, results in this equation<br />
for the logarithmic variance of the model:<br />
i=1<br />
log(σ 2 t ) = 0.785 + 0.539ɛ 2 t−1 + 0.576log(σ 2 t−1) (5.28)<br />
As we can see, only little difference is found between the GARCH and EGARCH models,<br />
respectively table 5.18 and table 5.19. The coefficients and standard errors of the regressors are<br />
not drastically different. However, we can observe that the political indicator is now slightly more<br />
significant than with the GARCH model (it now reaches the 11% threshold), as the coefficient<br />
is bigger in absolute value and the standard error smaller. Another difference resides in the<br />
indicator of predictability 97 , which is now bigger and more significant than before.<br />
96 Nelson mentions, however, that authors before him (Pantula and Geweke) used similar models, called<br />
log-GARCH models.<br />
97 Which is a three-day lagged estimation of the variance, computed according to Parkinson (1980).<br />
63
64<br />
Table 5.19: Exponential generalised autoregressive conditional heteroskedasticity regression.<br />
Variable Coefficient (Std. Err.)<br />
Equation 1 : BEL20 return<br />
Main political indicator -0.174 (0.109)<br />
Euro Stoxx 50 return 0.801 ∗∗ (0.012)<br />
Euro Stoxx 50 return 2 0.002 (0.003)<br />
Rating variable -0.508 ∗ (0.242)<br />
Government bonds yield -0.008 (0.005)<br />
Predictability indicator 0.053 ∗ (0.021)<br />
Euribor change 0.066 † (0.037)<br />
Money growth -0.019 (0.014)<br />
Intercept -0.096 ∗ (0.043)<br />
Equation 2 : ARCH<br />
L.arch 0.539 ∗∗ (0.162)<br />
L.egarch 0.576 ∗∗ (0.135)<br />
Intercept -0.785 ∗∗ (0.239)<br />
Significance levels: † : 10% ∗ : 5% ∗∗ : 1%<br />
Before summarising the results of the different models and tests investigated so far and<br />
establishing our conclusions, let us turn to some discussion about related topics that are worth<br />
mentioning and investigate some aspects that have not been raised so far.
Chapter 6<br />
Discussion<br />
In this chapter, we investigate various topics that did not belong to any of the previous sections<br />
of this paper. We dig slightly further with regard to our analysis; we give the basis for possible<br />
further investigations of our work and we invite the reader to establish his or her own critical<br />
assessment of our conclusions.<br />
Rationale for the selection of daily data<br />
One choice that we have not discussed so far is the time interval between two consecutive<br />
observations in our procedure. We chose to use daily data, but this is not the shortest interval<br />
that can be used. Indeed, Barclay and Litzenberger (1988) use intradaily observations for event<br />
studies and discuss the relevancy of using such intervals. They find that using intradaily data<br />
increases the power of statistic tests 98 . However they highlight that several methodological<br />
questions should be raised by such an approach. Campbell et al. (1997) conclude that it remains<br />
unclear whether using intradaily data is beneficial. The relevancy of our choice of using daily<br />
data therefore seems untouched.<br />
Possible bias due to uneven intervals between observations<br />
The source data that we selected is the closing price of the daily BEL20 index. The closing<br />
price of a stock reflects the price at which the last transaction of this stock was traded on a<br />
particular day. As Campbell et al. (1997) remind us, it is a common mistake to consider that<br />
the series derived from the closing price has observations that are evenly spaced (24-hour gap).<br />
In fact, if it is not the case (most of the time), then we observe a “nonsynchronous trading<br />
effect”, which results in a bias for the computation of the returns. This effect has been heavily<br />
reviewed in literature 99 but mostly concerns the analysis of one stock at a time. In the case<br />
at hand, however, the possibility for nonsynchronous trading effect is much less likely than<br />
in this literature, because we consider an index instead of a stock. The BEL20 is a real-time<br />
index, computed every 15 seconds, and including the change in the price of any of the 20 stocks<br />
composing it. Given this high regularity, it is most unlikely that our analysis suffers from a<br />
significant bias due to nonsynchronous trading effect.<br />
98 Which means that it increases the probability of rejecting the null hypo<strong>thesis</strong> if this hypo<strong>thesis</strong> is indeed<br />
wrong.<br />
99 See Campbell et al. (1997), page 85, for relevant literature about the topic. Box and Jenkins (1970) insist on<br />
this equal spacing in time condition for the GARCH model notably.<br />
65
66<br />
The normality assumption<br />
The analyses in section 5.2 are based on a model assuming that the returns are jointly normally<br />
distributed (the APT). This assumption may not be empirically verified 100 , which would imply<br />
that the results of the analysis are only asymptotic. However, as Brown and Warner (1985)<br />
discuss, in most cases, this is not considered as an issue since the statistic tests converge rapidly<br />
to their asymptotic distribution. Therefore, our results remain relevant even when we release<br />
the implausible normality assumption.<br />
The same issue has also been raised by Brown and Warner (1985) and by Berry et al. (1990),<br />
but they provide another reason why we should not be worried about it: even if the daily returns<br />
are most of the time not normally distributed, the residuals usually are. And even when the<br />
null hypo<strong>thesis</strong> of normality has to be rejected, they do not find any gain in power of using test<br />
statistics that are distribution-free.<br />
Cross-sectional dependence due to clustered events<br />
One of the possible problems of event studies is cross-sectional dependence, i.e. when events<br />
are “clustered” (issue analysed by Brown and Warner (1980)) 101 . This dependency problem<br />
disappears when events happen randomly within the event-window (Binder (1998)). In our<br />
analysis, one can see (on figure 4.2 or in the appendices) that, during the last quarter of the<br />
period of analysis, the events seem to be somehow clustered. Indeed, the agreements were<br />
reached one after the other during this period. At the same time, Moody’s placed the Belgian<br />
grade under review and S&P downgraded the country. As Brown and Warner (1980) mention,<br />
this clustering 102 affects the randomness in the selection of securities performing well. However,<br />
this is something very different to what we are doing (since we do not rely on our data to select<br />
particular securities) and therefore it does not challenge the relevancy of our approach. We<br />
considered that it was worth mentioning, though.<br />
Inconsistent coefficient estimates due to a model driven by the choices of agents<br />
The paper of Acharya (1993) about latent information in event studies mentions that “coefficient<br />
estimators in a dummy variable model are inconsistent when data on the dependent variable<br />
(stock return) are limited by the choices of agents (decision rules that trigger events)”. It seems,<br />
therefore, natural to consider whether our analysis suffers from inconsistency of the coefficient<br />
estimates, because political events may be somehow driven by the choices of the political actors.<br />
We believe that it is not the case for two reasons. Firstly, Acharya focuses on the returns of<br />
particular firms, after company-specific events, such as the announcement of a dividend. In this<br />
case, the event is indeed a choice, while for our analysis, the events that we consider are more the<br />
consequence of a process (attempts to the formation of a government). Secondly, the example of<br />
Acharya concerns one or few agents (the board of the company), while in our case, there is a<br />
multitude of agents commonly responsible for the occurence of the events. In particular there<br />
are at least the nine parties which had a role in the negotiations during the political crisis, as<br />
well as the King, the rating agencies and most likely many other institutions with an influence<br />
on the political scene. Therefore, as for the previous potential problems considered, our analysis<br />
seems not to suffer from this weakness.<br />
100 Even though, as figure A.2 (in the appendices) shows, the returns of the BEL20 index over the period of<br />
consideration seem to show an approximately normal distribution. However, one can also notice that kurtosis<br />
seem to be present in the data.<br />
101 The clustering problem is also sometimes called “Moulton problem” (Angrist and Pischke (2009)).<br />
102 Called “calendar clustering” or “event clustering” by Henderson (1990).
67<br />
Bias of the instrumental variables<br />
As Angrist and Pischke (2009) remind us, instrumental variables can sometimes be a source<br />
of bias, especially in small samples, which would imply that the estimated coefficients are<br />
not correct. The source of this common bias in empirical studies using 2SLS is due to weak<br />
instruments, that is, instruments that are not very correlated with the parameter they estimate.<br />
However, we should not worry about such a bias in our case since, as we presented earlier, the<br />
correlation between the instrumental variable and the instrumented variable is above 99%. The<br />
resulting coefficient of the regression can, therefore, be assumed to be consistent.<br />
Another way to verify the validity of our instrumental variable is to proceed to a Sargan test.<br />
It consists of testing the overidentifying restrictions, or in other words to testing if the instruments<br />
are correlated to the residuals and therefore if we can rely on them as good instruments. To<br />
proceed to this test, we (i) isolate the residuals ɛ t of equation 5.12, (ii) fit the same regression<br />
but replacing BEL20 return t by ɛ t and (iii) verify if any of the regressors are significant.<br />
Doing so indicates that no regressor significantly explains the residuals. It therefore suggests<br />
that our instruments are correct and thus that the estimated coefficients are unbiased.<br />
Possible endogeneity of the rating variable with other regressors<br />
One problem we have not raised so far is the possibility that the rating variable has an influence<br />
on the other independent variables of the model. In other words, this dummy variable may be<br />
endogenous with the other regressors. The implication of this possibility would be that the<br />
coefficient of the dummy and of the regressors with which it is endogenous would be biased.<br />
However, as long as the rating variable is not endogenous with the political indicator, it is<br />
not a major problem for our analysis. What is of interest to us is to measure the impact of<br />
the political indicator on the fluctuations of the BEL20 daily returns, not the impact of the<br />
other variables on it, therefore, the presence of a bias due to endogeneity between two control<br />
variables should not change the conclusions of our model. After verification, the rating dummy<br />
variable is not a significant explanatory variable of the variations in our political indicator. We<br />
can, therefore, consider that the inclusion of the rating dummy variable is perfectly justified and<br />
does not bias our conclusions.<br />
Not unique maximum likelihood estimate (MLE) of the coefficient, due to the<br />
presence of dummy variables<br />
Doornik and Ooms (2008) have investigated GARCH and EGARCH models using dummy<br />
variables and find that this procedure might result in a “multimodality problem”. In such a case,<br />
the coefficient of the dummy variable, as computed by the MLE, might not be unique.<br />
What can be done to solve that problem is to simplify the specification of the problem,<br />
eliminating (at least some of) the dummy variables and to re-estimate the model. Following this<br />
procedure, we fitted other GARCH and EGARCH models, according to the same specification<br />
as in the extensions of this <strong>thesis</strong>, but without the rating dummy variable. Doing so, we may<br />
lose some accuracy (since a relevant control variable is omitted), but according to Doornik and<br />
Ooms (2008), at least our indicators would be convergent. The results obtained are interesting:<br />
the coefficient of the political indicator (β 1 ) increases and its standard error decreases, making it<br />
more significant for both the GARCH and the EGARCH model. The coefficient of the political<br />
indicator becomes 0.172 and 0.184, respectively for each of these models, and is even significant<br />
at the 10% threshold for the EGARCH model.<br />
One can notice that following this procedure yields results that are closer to the conventional<br />
least squares model. However, since we could not find many authors applying this relatively
68<br />
recent procedure, we simply indicated these results as a discussion and we did not replace the<br />
models used in the extensions. Further investigations of the paper of Doornik and Ooms (2008)<br />
are probably necessary to provide a proper summary of the relevancy of this procedure.<br />
Alternative versions of the EGARCH model<br />
The original EGARCH model established by Nelson (1991), and used in section 5.3.4, can<br />
be modified in several respects, in order to better accommodate the possible asymmetries of<br />
exogenous shocks. In particular, separate coefficients can be used for small and for large shocks.<br />
This procedure has been investigated by Wu and Xiao (2002), who use seven different versions<br />
of the EGARCH model to find the best possible fit for the conditional volatility of returns<br />
subject to shocks. Their results show that, indeed, doing so enabled them to better capture<br />
the asymmetric effect of shocks on returns. Reaching such level of precision for the conditional<br />
volatility of our model is beyond the scope of this <strong>thesis</strong> but a more advanced study of the topic<br />
could investigate these alternative EGARCH models. As we found that the impact of positive<br />
and negative political events are different from each other, the volatility is likely to respond<br />
differently as well. This approach constitutes, therefore, a possible continuation to our work.<br />
Let us now turn to other possibilities of extension of this analysis.<br />
Possible further work<br />
The simple model of this paper (section 5.2) seems rather exhaustive, since it takes into account<br />
(to the best of our knowledge) most important control variables, it corrects the weaknesses of the<br />
data and its robustness is tested in several respects. However, further work could complete this<br />
<strong>thesis</strong>. Firstly, our models do not take into account the news about the future macroeconomic<br />
situation that is known by the public but not contained within the variables used at the time<br />
of the analysis. Analysing that kind of events was not our purpose, but their inclusion in the<br />
analysis is clearly a first possible broadening of our work.<br />
Secondly, we introduced relevant extensions to this simple model, but the analysis that we<br />
provided in section 5.3, extensions, is not exhaustive. Indeed, other models (even if we believe<br />
that they are less relevant than those we used) could provide a complementary analysis of the<br />
topic. Verifying whether their results are in line with what we found would be another way to<br />
evaluate the robustness of our conclusions.<br />
Thirdly, as we have mentioned in the literature review, most papers finding significant results<br />
about the topic were done in periods of political instability. As another way to check the<br />
robustness of this paper, it would be interesting to see how much political events affect the stock<br />
market in periods of political stability. Such additional work would allow us to derive conclusions<br />
about whether the causality relationship between political events and the stock market was<br />
affected by the fact that the country had no federal government during the period of analysis.<br />
Fourthly, the robustness of our findings could also be tested further by analysing other<br />
political crises in Belgium. Fortunately for the researcher interested in the topic, Belgium<br />
provides many other political crises to analyse, even though they are not as long as the 2010-2011<br />
one. In particular, in 2007, 194 days were necessary to form a government in Belgium. Proceeding<br />
to a similar analysis, but over this period, would be a good way to confirm (or not) the relevance<br />
of our results.<br />
Fifthly, as Pynnönen (2005) showed, an “abnormal return” analysis is equivalent to a dummy<br />
variable event study, under certain conditions (non-overlapping event windows). Analysing the<br />
Belgian political crisis of 2010-2011 following the classical abnormal return analysis could be<br />
interesting to test further the robustness of our analysis and to verify if the two methods are<br />
indeed similar, as Pynnönen (2005) claims theoretically.
As a final word about these possible further works, we would like to mention that even<br />
though some more results could certainly be found from these extensions, it is likely that they<br />
would be of only little added-value compared to the conclusions that we reached in this <strong>thesis</strong>.<br />
Let us now present them.<br />
69
Chapter 7<br />
Conclusion<br />
The political history of Belgium has shown how two very different communities could be<br />
held together, by means of agreements and reforms. As Flanders prospered, the claims of its<br />
inhabitants became increasingly more constraining, requiring successive governments to modify<br />
the political structure of Belgium, which eventually became exceedingly complex. Craving more<br />
independence over the past decades and taking advantage of its recently acquired economic<br />
prosperity, Flanders successfully obtained larger competences, draining the power from the<br />
federal state to the regional level. At the same time, the Europeanisation process weakened the<br />
Belgian federal state as other competences were relinquished to the supranational level. The<br />
national issues grew in importance, casting doubts on the existence of a Belgian identity for the<br />
inhabitants. The governments stalemated one after the other on the increasingly problematic<br />
community disagreements. It is against this background that the Belgian political crisis 2010-2011<br />
took place. Eventually, Belgium endured the world’s longest period in recent history as a state<br />
without a federal government. It was our purpose to analyse this period through a stock market<br />
approach.<br />
Our political event study was based on multiple models, very common in financial econometrics,<br />
which showed interesting and significant causal relationships between the political<br />
events which drove the Belgian political crisis and the fluctuations of the stock market over this<br />
period. We detailed each model and provided the results of intermediary steps, so as to let the<br />
reader evaluate the relevancy of each component of it. We started with a basic ordinary least<br />
squares model, which we corrected for endogeneity of the political indicator, therefore applying<br />
a two-stage least squares procedure. Once augmented with relevant macroeconomic variables 103 ,<br />
the model was corrected for the heteroskedasticity of its residuals. Different robustness tests<br />
were performed in order to challenge the relevancy of the significant results found. Then, we<br />
extended the procedure to more sophisticated models, including error correction and autoregressive<br />
conditional heteroskedasticity models 104 . The plurality of models within the analysis was<br />
interesting as it let us take some distance with the topic by analysing different views of the same<br />
data. Hereafter, we summarise our conclusions, but we remain open to the possibility of further<br />
improvement of the models used and therefore of the results. Let us also remember that these<br />
conclusions are context-specific. We do not claim that they are applicable to any political crisis<br />
situation, even though we believe, given the robustness of the indicators, that similar contexts<br />
are likely to yield, to some extent, similar results.<br />
In our main model, using a two-stage least squares procedure, we gave robust evidence that<br />
103 The problem of the presence of an economic crisis simultaneously with the political crisis was solved through<br />
the addition of these variables to the model.<br />
104 In particular, we proceed to a VECM, to a GARCH model and to an EGARCH model.<br />
70
71<br />
the main political events had a highly significant impact 105 on the fluctuations of the main<br />
Belgian stock index, the BEL20. This result is relatively free of endogeneity, of anticipatory<br />
movements and of heteroskedasticity of the residuals. As we extensively argued, every control<br />
variable used seems relevant to the analysis, therefore enhancing the accuracy of the political<br />
indicator. The political indicator shows a negative relationship between the political events and<br />
the stock market fluctuations: it reacts positively to negative events and negatively to positive<br />
events. By “positive event”, we mean events that are favourable to the establishment of a fully<br />
empowered government and therefore to the end of the political crisis. Similarly, by “negative<br />
event”, we mean events that are unfavourable to it. The average reaction of the stock market<br />
to a meaningful political event is about 0.24 percentage points, but the reaction is different<br />
depending on the type of event. For positive events, the average (negative) reaction amounts<br />
about 0.40 percentage points while for negative events, the (positive) reaction reaches only about<br />
0.12 percentage points and is therefore much less significant.<br />
Further specifications of the model showed that dropping some of the key-events of the<br />
crisis did not make the indicator lose its high significance, which testified to its robustness.<br />
We also found that the market seemed to fully react to a political event on the exact date of<br />
the event: no significant anticipatory or lagged movement could be found. In addition, we<br />
provided evidence that the market reacts more importantly to more meaningful political events<br />
than to less meaningful ones. As an extension to our main model, we investigated a vector<br />
error correction model which seemed to indicate that the events had a significant short-term<br />
impact on the Belgian stock returns, but we cannot eliminate the possibility that part of the<br />
impact has long-term consequences. As the time series of the BEL20 daily returns seemed to<br />
be characterised by the same shape and features as usual financial time series, we used models<br />
designed to better fit such series. The autoregressive conditional heteroskedasticity models used<br />
showed that the coefficient and significance of our indicator might have been exagerated by the<br />
more conventional models, but the direction of the shocks (the negative sign) was validated.<br />
Finally, let us now suggest a possible interpretation of these results. Based on the evidence<br />
we found, we believe that the stock market progressively and smoothly anticipates the political<br />
events, and even overanticipates them. Then, on the day of the event, the market adjustment is<br />
negative, as a response to the overanticipation. The results of the many tests and regressions to<br />
which we proceeded are in line with this interpretation. However, despite the significance and<br />
robustness of the results reached, we cannot argue that these conclusions apply to countries other<br />
than Belgium. As we saw in the literature review, authors find different results for other parts<br />
of the world and during different periods. The Belgian case seems, therefore, very particular, if<br />
not unique.<br />
A topic such as this one can never be fully investigated. Further work is always possible to<br />
understand it more completely. However, we believe that we have provided a relevant analysis,<br />
addressing the main problems of the subject matter and using appropriated approaches to model<br />
it. We have sketched some ideas for possible further investigations, in the discussions of this<br />
<strong>thesis</strong>.<br />
Political event studies are, unfortunately, underexploited in econometric literature. “Standing<br />
on the shoulders of giant” is only possible to a limited extent in this field, because these studies<br />
do not seem to be built on one another, but only on a restrained set of papers. We believe,<br />
though, in the high potential value of political event studies, as it can help investors to refine<br />
their expectations of the financial markets.<br />
We would like to end with a word about the political crisis. As Gordon Brown puts it when<br />
referring to the recent financial crisis: “[s]ometimes it’s a crisis that forces change. The world<br />
105 The coefficient of our political indicator reaches almost the 1% threshold, implying that the hypo<strong>thesis</strong> that<br />
the coefficient is equal to zero is strongly rejected.
72<br />
that emerges out of the economic and financial crisis of 2007-2010 won’t be the same. The<br />
banking and finance system will be based on sounder principles. There is a huge opportunity<br />
over the next 10 or 20 years (to improve things)” 106 . We believe that a similar school of thought<br />
applies to the Belgian political crisis. The reform resulting from the crisis has certainly given<br />
more power to the federated entities of Belgium. But the objective is not holding a bigger share<br />
of power, the objective is to efficientely share it, in order to have a country “based on sounder<br />
principles”. The 2010-2011 crisis was far from being the first political crisis of Belgium and it<br />
will probably not be the last. However, we hope that this crisis raised awareness for all Belgians,<br />
about the common outlook for the future that they all share.<br />
106 Cited in Benedikter (2011).
Appendices<br />
73
Number of non-zero observations: 4 10 13 23 23 40 46 46 75<br />
Proportion of non-zero observations: 0.93% 2.33% 3.02% 5.35% 5.35% 9.30% 10.70% 10.70% 17.44%<br />
74<br />
Day<br />
Event<br />
Value<br />
Mon 19 Apr 10 1 0 0 0 0 0 0 0 0 0<br />
Tue 20 Apr 10 April 20: J.-L. Dehaene considers his mission finished. 2 0 0 0 0 0 -1 0 0 -1<br />
Wed 21 Apr 10 3 0 0 0 0 0 0 0 0 -1<br />
April 22: Alexander de Croo ( Open VLD) leaves the<br />
Thu 22 Apr 10<br />
government.<br />
4 0 0 1 -1 1 -1 -1 1 -1<br />
Fri 23 Apr 10 5 0 0 0 0 0 0 -1 1 -1<br />
April 26: the King Albert II accepts the government's<br />
Mon 26 Apr 10<br />
resignation.<br />
6 0 0 1 -1 1 -1 -1 1 -1<br />
Tue 27 Apr 10 7 0 0 0 0 0 0 -1 1 -1<br />
Wed 28 Apr 10 8 0 0 0 0 0 0 0 0 0<br />
April 29: the Flemish parties start examining BHV. A<br />
Thu 29 Apr 10 motion is filed by French-speaking parties, triggering 9 0 0 1 -1 1 -1 -1 1 -1<br />
the alarm.<br />
Fri 30 Apr 10 10 0 0 0 0 0 0 -1 1 -1<br />
Mon 3 May 10 11 0 0 0 0 0 0 0 0 0<br />
Tue 4 May 10 12 0 0 0 0 0 0 0 0 0<br />
Wed 5 May 10 13 0 0 0 0 0 0 0 0 0<br />
Thu 6 May 10 14 0 0 0 0 0 0 0 0 0<br />
Fri 7 May 10 15 0 0 0 0 0 0 0 0 0<br />
Mon 10 May 10 16 0 0 0 0 0 0 0 0 0<br />
Tue 11 May 10 17 0 0 0 0 0 0 0 0 0<br />
Wed 12 May 10 18 0 0 0 0 0 0 0 0 0<br />
Thu 13 May 10 19 0 0 0 0 0 0 0 0 0<br />
Fri 14 May 10 20 0 0 0 0 0 0 0 0 0<br />
Mon 17 May 10 21 0 0 0 0 0 0 0 0 0<br />
Tue 18 May 10 22 0 0 0 0 0 0 0 0 0<br />
Wed 19 May 10 23 0 0 0 0 0 0 0 0 0<br />
Thu 20 May 10 24 0 0 0 0 0 0 0 0 0<br />
Fri 21 May 10 25 0 0 0 0 0 0 0 0 0<br />
Mon 24 May 10 26 0 0 0 0 0 0 0 0 0<br />
Tue 25 May 10 27 0 0 0 0 0 0 0 0 0<br />
Wed 26 May 10 28 0 0 0 0 0 0 0 0 0<br />
Thu 27 May 10 29 0 0 0 0 0 0 0 0 0<br />
Fri 28 May 10 30 0 0 0 0 0 0 0 0 0<br />
Mon 31 May 10 31 0 0 0 0 0 0 0 0 0<br />
Tue 1 Jun 10 32 0 0 0 0 0 0 0 0 0<br />
Wed 2 Jun 10 33 0 0 0 0 0 0 0 0 0<br />
Thu 3 Jun 10 34 0 0 0 0 0 0 0 0 0<br />
Fri 4 Jun 10 35 0 0 0 0 0 0 0 0 0<br />
Mon 7 Jun 10 36 0 0 0 0 0 0 0 0 0<br />
Tue 8 Jun 10 37 0 0 0 0 0 0 0 0 0<br />
Wed 9 Jun 10 38 0 0 0 0 0 0 0 0 0<br />
Thu 10 Jun 10 39 0 0 0 0 0 0 0 0 0<br />
Fri 11 Jun 10 40 0 0 0 0 0 0 0 0 0<br />
Mon 14 Jun 10 June 13: federal legislative elections. 41 0 0 1 -1 1 -1 -1 1 -1<br />
Tue 15 Jun 10 42 0 0 0 0 0 0 -1 1 -1<br />
Wed 16 Jun 10 43 0 0 0 0 0 0 0 0 0<br />
June 17: Bart De Wever wins the elections. He is<br />
Thu 17 Jun 10<br />
appointed as informateur.<br />
44 0 0 0 0 0 -1 0 0 -1<br />
Fri 18 Jun 10 45 0 0 0 0 0 0 0 0 -1<br />
Mon 21 Jun 10 46 0 0 0 0 0 0 0 0 0<br />
Tue 22 Jun 10 47 0 0 0 0 0 0 0 0 0<br />
Wed 23 Jun 10 48 0 0 0 0 0 0 0 0 0<br />
Thu 24 Jun 10 49 0 0 0 0 0 0 0 0 0<br />
Fri 25 Jun 10 50 0 0 0 0 0 0 0 0 0<br />
Mon 28 Jun 10 51 0 0 0 0 0 0 0 0 0<br />
Tue 29 Jun 10 52 0 0 0 0 0 0 0 0 0<br />
Wed 30 Jun 10 53 0 0 0 0 0 0 0 0 0<br />
Rating dummy<br />
Significant positive event<br />
Significant negative event<br />
Main political indicator<br />
Significant event dummy<br />
All political events<br />
Main political indicator 2<br />
Significant event dummy 2<br />
All political events 2
75<br />
Thu 1 Jul 10 54 0 0 0 0 0 0 0 0 0<br />
Fri 2 Jul 10 55 0 0 0 0 0 0 0 0 0<br />
Mon 5 Jul 10 56 0 0 0 0 0 0 0 0 0<br />
Tue 6 Jul 10 57 0 0 0 0 0 0 0 0 0<br />
Wed 7 Jul 10 58 0 0 0 0 0 0 0 0 0<br />
July 8: Bart De Wever gives up. Elio Di Rupo is put in<br />
Thu 8 Jul 10<br />
charge of forming a government.<br />
59 0 0 0 0 0 1 0 0 1<br />
Fri 9 Jul 10 60 0 0 0 0 0 0 0 0 1<br />
Mon 12 Jul 10 61 0 0 0 0 0 0 0 0 0<br />
Tue 13 Jul 10 62 0 0 0 0 0 0 0 0 0<br />
Wed 14 Jul 10 63 0 0 0 0 0 0 0 0 0<br />
Thu 15 Jul 10 64 0 0 0 0 0 0 0 0 0<br />
Fri 16 Jul 10 65 0 0 0 0 0 0 0 0 0<br />
Mon 19 Jul 10 66 0 0 0 0 0 0 0 0 0<br />
Tue 20 Jul 10 67 0 0 0 0 0 0 0 0 0<br />
Wed 21 Jul 10 68 0 0 0 0 0 0 0 0 0<br />
Thu 22 Jul 10 69 0 0 0 0 0 0 0 0 0<br />
Fri 23 Jul 10 70 0 0 0 0 0 0 0 0 0<br />
Mon 26 Jul 10 71 0 0 0 0 0 0 0 0 0<br />
Tue 27 Jul 10 72 0 0 0 0 0 0 0 0 0<br />
Wed 28 Jul 10 73 0 0 0 0 0 0 0 0 0<br />
Thu 29 Jul 10 74 0 0 0 0 0 0 0 0 0<br />
Fri 30 Jul 10 75 0 0 0 0 0 0 0 0 0<br />
Mon 2 Aug 10 76 0 0 0 0 0 0 0 0 0<br />
Tue 3 Aug 10 77 0 0 0 0 0 0 0 0 0<br />
Wed 4 Aug 10 78 0 0 0 0 0 0 0 0 0<br />
Thu 5 Aug 10 79 0 0 0 0 0 0 0 0 0<br />
Fri 6 Aug 10 80 0 0 0 0 0 0 0 0 0<br />
Mon 9 Aug 10 81 0 0 0 0 0 0 0 0 0<br />
Tue 10 Aug 10 82 0 0 0 0 0 0 0 0 0<br />
Wed 11 Aug 10 83 0 0 0 0 0 0 0 0 0<br />
Thu 12 Aug 10 84 0 0 0 0 0 0 0 0 0<br />
Fri 13 Aug 10 85 0 0 0 0 0 0 0 0 0<br />
Mon 16 Aug 10 86 0 0 0 0 0 0 0 0 0<br />
Tue 17 Aug 10 87 0 0 0 0 0 0 0 0 0<br />
Wed 18 Aug 10 88 0 0 0 0 0 0 0 0 0<br />
Thu 19 Aug 10 89 0 0 0 0 0 0 0 0 0<br />
Fri 20 Aug 10 90 0 0 0 0 0 0 0 0 0<br />
Mon 23 Aug 10 91 0 0 0 0 0 0 0 0 0<br />
Tue 24 Aug 10 92 0 0 0 0 0 0 0 0 0<br />
Wed 25 Aug 10 93 0 0 0 0 0 0 0 0 0<br />
Thu 26 Aug 10 94 0 0 0 0 0 0 0 0 0<br />
Fri 27 Aug 10 95 0 0 0 0 0 0 0 0 0<br />
August 29: refusal of Di Rupo's resignation by the<br />
Mon 30 Aug 10<br />
King.<br />
96 0 0 1 -1 1 -1 -1 1 -1<br />
Tue 31 Aug 10 97 0 0 0 0 0 0 -1 1 -1<br />
Wed 1 Sep 10 98 0 0 0 0 0 0 0 0 0<br />
Thu 2 Sep 10 99 0 0 0 0 0 0 0 0 0<br />
Fri 3 Sep 10 September 3: Di Rupo openly accepts his failure. 100 0 0 0 0 0 -1 0 0 -1<br />
September 4: the King accepts Di Rupo's<br />
Mon 6 Sep 10 101 0 0 1 -1 1 -1 -1 1 -1<br />
resignation. Pieters and Flahaut are put in charge.<br />
Tue 7 Sep 10 102 0 0 0 0 0 0 -1 1 -1<br />
Wed 8 Sep 10 103 0 0 0 0 0 0 0 0 0<br />
Thu 9 Sep 10 104 0 0 0 0 0 0 0 0 0<br />
Fri 10 Sep 10 105 0 0 0 0 0 0 0 0 0<br />
Mon 13 Sep 10 106 0 0 0 0 0 0 0 0 0<br />
Tue 14 Sep 10 107 0 0 0 0 0 0 0 0 0<br />
Wed 15 Sep 10 108 0 0 0 0 0 0 0 0 0<br />
Thu 16 Sep 10 109 0 0 0 0 0 0 0 0 0<br />
Fri 17 Sep 10 110 0 0 0 0 0 0 0 0 0<br />
Mon 20 Sep 10 111 0 0 0 0 0 0 0 0 0<br />
Tue 21 Sep 10 112 0 0 0 0 0 0 0 0 0<br />
Wed 22 Sep 10 113 0 0 0 0 0 0 0 0 0<br />
Thu 23 Sep 10 114 0 0 0 0 0 0 0 0 0<br />
Fri 24 Sep 10 115 0 0 0 0 0 0 0 0 0<br />
Mon 27 Sep 10 116 0 0 0 0 0 0 0 0 0<br />
Tue 28 Sep 10 117 0 0 0 0 0 0 0 0 0<br />
Wed 29 Sep 10 118 0 0 0 0 0 0 0 0 0<br />
Thu 30 Sep 10 119 0 0 0 0 0 0 0 0 0
Fri 1 Oct 10 120 0 0 0 0 0 0 0 0 0<br />
October 4: press conference of the N-VA, unilaterally<br />
Mon 4 Oct 10 121 0 0 0 0 0 -1 0 0 -1<br />
interrupting the negotiations with seven parties.<br />
October 5: the King relieves Flahaut and Pieters from<br />
Tue 5 Oct 10<br />
their mission.<br />
122 0 0 0 0 0 0 0 0 -1<br />
Wed 6 Oct 10 123 0 0 0 0 0 0 0 0 0<br />
Thu 7 Oct 10 124 0 0 0 0 0 0 0 0 0<br />
Fri 8 Oct 10 October 8: De Wever becomes clarifier.<br />
125 0 0 0 0 0 0 0 0 0<br />
Mon 11 Oct 10 126 0 0 0 0 0 0 0 0 0<br />
Tue 12 Oct 10 127 0 0 0 0 0 0 0 0 0<br />
Wed 13 Oct 10 128 0 0 0 0 0 0 0 0 0<br />
Thu 14 Oct 10 129 0 0 0 0 0 0 0 0 0<br />
Fri 15 Oct 10 130 0 0 0 0 0 0 0 0 0<br />
Mon 18 Oct 10 October 18: Bart De Wever: “fabula acta est”. 131 0 0 1 -1 1 -1 -1 1 -1<br />
Tue 19 Oct 10 132 0 0 0 0 0 0 -1 1 -1<br />
Wed 20 Oct 10 133 0 0 0 0 0 0 0 0 0<br />
October 21: Johan Vande Lanotte is designated as<br />
Thu 21 Oct 10<br />
mediator.<br />
134 0 1 0 1 1 1 1 1 1<br />
Fri 22 Oct 10 135 0 0 0 0 0 0 1 1 1<br />
Mon 25 Oct 10 136 0 0 0 0 0 0 0 0 0<br />
Tue 26 Oct 10 137 0 0 0 0 0 0 0 0 0<br />
Wed 27 Oct 10 138 0 0 0 0 0 0 0 0 0<br />
Thu 28 Oct 10 139 0 0 0 0 0 0 0 0 0<br />
Fri 29 Oct 10 140 0 0 0 0 0 0 0 0 0<br />
Mon 1 Nov 10 141 0 0 0 0 0 0 0 0 0<br />
Tue 2 Nov 10 142 0 0 0 0 0 0 0 0 0<br />
Wed 3 Nov 10 143 0 0 0 0 0 0 0 0 0<br />
Thu 4 Nov 10 144 0 0 0 0 0 0 0 0 0<br />
Fri 5 Nov 10 145 0 0 0 0 0 0 0 0 0<br />
Mon 8 Nov 10 146 0 0 0 0 0 0 0 0 0<br />
Tue 9 Nov 10 147 0 0 0 0 0 0 0 0 0<br />
Wed 10 Nov 10 148 0 0 0 0 0 0 0 0 0<br />
Thu 11 Nov 10 149 0 0 0 0 0 0 0 0 0<br />
Fri 12 Nov 10 150 0 0 0 0 0 0 0 0 0<br />
Mon 15 Nov 10 151 0 0 0 0 0 0 0 0 0<br />
Tue 16 Nov 10 152 0 0 0 0 0 0 0 0 0<br />
Wed 17 Nov 10 153 0 0 0 0 0 0 0 0 0<br />
Thu 18 Nov 10 154 0 0 0 0 0 0 0 0 0<br />
Fri 19 Nov 10 155 0 0 0 0 0 0 0 0 0<br />
Mon 22 Nov 10 156 0 0 0 0 0 0 0 0 0<br />
Tue 23 Nov 10 157 0 0 0 0 0 0 0 0 0<br />
Wed 24 Nov 10 158 0 0 0 0 0 0 0 0 0<br />
Thu 25 Nov 10 159 0 0 0 0 0 0 0 0 0<br />
Fri 26 Nov 10 160 0 0 0 0 0 0 0 0 0<br />
Mon 29 Nov 10 161 0 0 0 0 0 0 0 0 0<br />
Tue 30 Nov 10 162 0 0 0 0 0 0 0 0 0<br />
Wed 1 Dec 10 163 0 0 0 0 0 0 0 0 0<br />
Thu 2 Dec 10 164 0 0 0 0 0 0 0 0 0<br />
Fri 3 Dec 10 165 0 0 0 0 0 0 0 0 0<br />
Mon 6 Dec 10 166 0 0 0 0 0 0 0 0 0<br />
Tue 7 Dec 10 167 0 0 0 0 0 0 0 0 0<br />
Wed 8 Dec 10 168 0 0 0 0 0 0 0 0 0<br />
Thu 9 Dec 10 169 0 0 0 0 0 0 0 0 0<br />
Fri 10 Dec 10 170 0 0 0 0 0 0 0 0 0<br />
Mon 13 Dec 10 171 0 0 0 0 0 0 0 0 0<br />
December 14: S&P place Belgium under negative<br />
Tue 14 Dec 10<br />
outlook and threaten it with a downgrade.<br />
172 1 0 0 0 0 0 0 0 0<br />
Wed 15 Dec 10 173 0 0 0 0 0 0 0 0 0<br />
Thu 16 Dec 10 174 0 0 0 0 0 0 0 0 0<br />
Fri 17 Dec 10 175 0 0 0 0 0 0 0 0 0<br />
Mon 20 Dec 10 176 0 0 0 0 0 0 0 0 0<br />
Tue 21 Dec 10 177 0 0 0 0 0 0 0 0 0<br />
Wed 22 Dec 10 178 0 0 0 0 0 0 0 0 0<br />
Thu 23 Dec 10 179 0 0 0 0 0 0 0 0 0<br />
Fri 24 Dec 10 180 0 0 0 0 0 0 0 0 0<br />
December 25: Belgian record of the longest political<br />
Mon 27 Dec 10<br />
crisis.<br />
181 0 0 1 -1 1 -1 -1 1 -1<br />
Tue 28 Dec 10 182 0 0 0 0 0 0 -1 1 -1<br />
Wed 29 Dec 10 183 0 0 0 0 0 0 0 0 0<br />
Thu 30 Dec 10 184 0 0 0 0 0 0 0 0 0<br />
Fri 31 Dec 10 185 0 0 0 0 0 0 0 0 0<br />
76
Mon 3 Jan 11 186 0 0 0 0 0 0 0 0 0<br />
Tue 4 Jan 11 187 0 0 0 0 0 0 0 0 0<br />
Wed 5 Jan 11 188 0 0 0 0 0 0 0 0 0<br />
Thu 6 Jan 11 January 6: Vande Lanotte resigns.<br />
189 0 0 1 -1 1 -1 -1 1 -1<br />
Fri 7 Jan 11 190 0 0 0 0 0 0 -1 1 -1<br />
January 8: European record of the longest political<br />
Mon 10 Jan 11<br />
crisis.<br />
191 0 0 1 -1 1 -1 -1 1 -1<br />
January 11: the King refuses the resignation of Johan<br />
Tue 11 Jan 11<br />
Vande Lanotte.<br />
192 0 0 0 0 0 -1 -1 1 -1<br />
Wed 12 Jan 11 193 0 0 0 0 0 0 0 0 -1<br />
Thu 13 Jan 11 194 0 0 0 0 0 0 0 0 0<br />
Fri 14 Jan 11 195 0 0 0 0 0 0 0 0 0<br />
Mon 17 Jan 11 196 0 0 0 0 0 0 0 0 0<br />
Tue 18 Jan 11 197 0 0 0 0 0 0 0 0 0<br />
Wed 19 Jan 11 198 0 0 0 0 0 0 0 0 0<br />
Thu 20 Jan 11 199 0 0 0 0 0 0 0 0 0<br />
Fri 21 Jan 11 200 0 0 0 0 0 0 0 0 0<br />
Mon 24 Jan 11 201 0 0 0 0 0 0 0 0 0<br />
Tue 25 Jan 11 202 0 0 0 0 0 0 0 0 0<br />
January 26: Vande Lanotte definitely resigns. The<br />
Wed 26 Jan 11<br />
King accepts his resignation.<br />
203 0 0 1 -1 1 -1 -1 1 -1<br />
Thu 27 Jan 11 204 0 0 0 0 0 0 -1 1 -1<br />
Fri 28 Jan 11 205 0 0 0 0 0 0 0 0 0<br />
Mon 31 Jan 11 206 0 0 0 0 0 0 0 0 0<br />
Tue 1 Feb 11 207 0 0 0 0 0 0 0 0 0<br />
February 2: the King increases the power of the<br />
Wed 2 Feb 11 caretaker government. Didier Reynders is named 208 0 0 0 0 0 1 0 0 1<br />
informateur.<br />
Thu 3 Feb 11 209 0 0 0 0 0 0 0 0 1<br />
Fri 4 Feb 11 210 0 0 0 0 0 0 0 0 0<br />
Mon 7 Feb 11 211 0 0 0 0 0 0 0 0 0<br />
Tue 8 Feb 11 212 0 0 0 0 0 0 0 0 0<br />
Wed 9 Feb 11 213 0 0 0 0 0 0 0 0 0<br />
Thu 10 Feb 11 214 0 0 0 0 0 0 0 0 0<br />
Fri 11 Feb 11 215 0 0 0 0 0 0 0 0 0<br />
Mon 14 Feb 11 216 0 0 0 0 0 0 0 0 0<br />
Tue 15 Feb 11 217 0 0 0 0 0 0 0 0 0<br />
February 16: the King increases the length of Reynders'<br />
Wed 16 Feb 11 218 0 0 0 0 0 1 0 0 1<br />
mission, allowing him to hand in a more detailed report.<br />
Thu 17 Feb 11 219 0 0 0 0 0 0 0 0 1<br />
Fri 18 Feb 11 220 0 0 0 0 0 0 0 0 0<br />
Mon 21 Feb 11 221 0 0 0 0 0 0 0 0 0<br />
Tue 22 Feb 11 222 0 0 0 0 0 0 0 0 0<br />
Wed 23 Feb 11 223 0 0 0 0 0 0 0 0 0<br />
Thu 24 Feb 11 224 0 0 0 0 0 0 0 0 0<br />
Fri 25 Feb 11 225 0 0 0 0 0 0 0 0 0<br />
Mon 28 Feb 11 226 0 0 0 0 0 0 0 0 0<br />
Tue 1 Mar 11 March 1: Reynders is relieved from his mission<br />
227 0 0 0 0 0 -1 0 0 -1<br />
Wed 2 Mar 11 March 2: Wouter Beke is designated as negotiator. 228 0 0 0 0 0 1 0 0 1<br />
Thu 3 Mar 11 229 0 0 0 0 0 0 0 0 1<br />
Fri 4 Mar 11 230 0 0 0 0 0 0 0 0 0<br />
Mon 7 Mar 11 231 0 0 0 0 0 0 0 0 0<br />
Tue 8 Mar 11 232 0 0 0 0 0 0 0 0 0<br />
Wed 9 Mar 11 233 0 0 0 0 0 0 0 0 0<br />
Thu 10 Mar 11 234 0 0 0 0 0 0 0 0 0<br />
Fri 11 Mar 11 235 0 0 0 0 0 0 0 0 0<br />
Mon 14 Mar 11 236 0 0 0 0 0 0 0 0 0<br />
Tue 15 Mar 11 237 0 0 0 0 0 0 0 0 0<br />
Wed 16 Mar 11 238 0 0 0 0 0 0 0 0 0<br />
Thu 17 Mar 11 239 0 0 0 0 0 0 0 0 0<br />
Fri 18 Mar 11 240 0 0 0 0 0 0 0 0 0<br />
Mon 21 Mar 11 241 0 0 0 0 0 0 0 0 0<br />
Tue 22 Mar 11 242 0 0 0 0 0 0 0 0 0<br />
Wed 23 Mar 11 243 0 0 0 0 0 0 0 0 0<br />
Thu 24 Mar 11 244 0 0 0 0 0 0 0 0 0<br />
Fri 25 Mar 11 245 0 0 0 0 0 0 0 0 0<br />
Mon 28 Mar 11 246 0 0 0 0 0 0 0 0 0<br />
Tue 29 Mar 11 247 0 0 0 0 0 0 0 0 0<br />
Wed 30 Mar 11 March 30: world record of the longest political crisis. 248 0 0 1 -1 1 -1 -1 1 -1<br />
Thu 31 Mar 11 249 0 0 0 0 0 0 -1 1 -1<br />
77
78<br />
Fri 1 Apr 11 250 0 0 0 0 0 0 0 0 0<br />
Mon 4 Apr 11 251 0 0 0 0 0 0 0 0 0<br />
Tue 5 Apr 11 252 0 0 0 0 0 0 0 0 0<br />
Wed 6 Apr 11 253 0 0 0 0 0 0 0 0 0<br />
Thu 7 Apr 11 254 0 0 0 0 0 0 0 0 0<br />
Fri 8 Apr 11 255 0 0 0 0 0 0 0 0 0<br />
Mon 11 Apr 11 256 0 0 0 0 0 0 0 0 0<br />
Tue 12 Apr 11 257 0 0 0 0 0 0 0 0 0<br />
Wed 13 Apr 11 258 0 0 0 0 0 0 0 0 0<br />
Thu 14 Apr 11 259 0 0 0 0 0 0 0 0 0<br />
Fri 15 Apr 11 260 0 0 0 0 0 0 0 0 0<br />
Mon 18 Apr 11 261 0 0 0 0 0 0 0 0 0<br />
Tue 19 Apr 11 262 0 0 0 0 0 0 0 0 0<br />
Wed 20 Apr 11 263 0 0 0 0 0 0 0 0 0<br />
Thu 21 Apr 11 264 0 0 0 0 0 0 0 0 0<br />
April 22: anniversary of the fall of Leterme II's<br />
Tue 26 Apr 11 government. April 26: one year without a fully<br />
265 0 0 0 0 0 -1 0 0 -1<br />
empowered government.<br />
Wed 27 Apr 11 266 0 0 0 0 0 0 0 0 -1<br />
Thu 28 Apr 11 267 0 0 0 0 0 0 0 0 0<br />
Fri 29 Apr 11 268 0 0 0 0 0 0 0 0 0<br />
Mon 2 May 11 269 0 0 0 0 0 0 0 0 0<br />
Tue 3 May 11 270 0 0 0 0 0 0 0 0 0<br />
Wed 4 May 11 271 0 0 0 0 0 0 0 0 0<br />
Thu 5 May 11 272 0 0 0 0 0 0 0 0 0<br />
Fri 6 May 11 273 0 0 0 0 0 0 0 0 0<br />
Mon 9 May 11 274 0 0 0 0 0 0 0 0 0<br />
Tue 10 May 11 275 0 0 0 0 0 0 0 0 0<br />
Wed 11 May 11 276 0 0 0 0 0 0 0 0 0<br />
May 12: Wouter Beke asks the King to relieve him from<br />
Thu 12 May 11<br />
his duties.<br />
277 0 0 1 -1 1 -1 -1 1 -1<br />
Fri 13 May 11 278 0 0 0 0 0 0 -1 1 -1<br />
May 16: the King accepts the request of Wouter Beke,<br />
after having consulted all nine parties. Di Rupo is tasked<br />
Mon 16 May 11<br />
to be formateur with the request to take any necessary<br />
279 0 1 0 1 1 1 1 1 1<br />
measures.<br />
Tue 17 May 11 280 0 0 0 0 0 0 1 1 1<br />
Wed 18 May 11 281 0 0 0 0 0 0 0 0 0<br />
Thu 19 May 11 282 0 0 0 0 0 0 0 0 0<br />
Fri 20 May 11 283 0 0 0 0 0 0 0 0 0<br />
May 23: Fitch's outlook changes from “stable” to<br />
Mon 23 May 11<br />
“negative”.<br />
284 1 0 0 0 0 0 0 0 0<br />
Tue 24 May 11 285 0 0 0 0 0 0 0 0 0<br />
Wed 25 May 11 286 0 0 0 0 0 0 0 0 0<br />
Thu 26 May 11 287 0 0 0 0 0 0 0 0 0<br />
Fri 27 May 11 288 0 0 0 0 0 0 0 0 0<br />
Mon 30 May 11 289 0 0 0 0 0 0 0 0 0<br />
Tue 31 May 11 290 0 0 0 0 0 0 0 0 0<br />
Wed 1 Jun 11 291 0 0 0 0 0 0 0 0 0<br />
Thu 2 Jun 11 292 0 0 0 0 0 0 0 0 0<br />
Fri 3 Jun 11 293 0 0 0 0 0 0 0 0 0<br />
Mon 6 Jun 11 294 0 0 0 0 0 0 0 0 0<br />
Tue 7 Jun 11 295 0 0 0 0 0 0 0 0 0<br />
Wed 8 Jun 11 296 0 0 0 0 0 0 0 0 0<br />
Thu 9 Jun 11 297 0 0 0 0 0 0 0 0 0<br />
Fri 10 Jun 11 298 0 0 0 0 0 0 0 0 0<br />
Mon 13 Jun 11 June 13: Belgium voted a year ago. 299 0 0 0 0 0 -1 0 0 -1<br />
Tue 14 Jun 11 300 0 0 0 0 0 0 0 0 -1<br />
Wed 15 Jun 11 301 0 0 0 0 0 0 0 0 0<br />
Thu 16 Jun 11 302 0 0 0 0 0 0 0 0 0<br />
Fri 17 Jun 11 303 0 0 0 0 0 0 0 0 0<br />
Mon 20 Jun 11 304 0 0 0 0 0 0 0 0 0<br />
Tue 21 Jun 11 305 0 0 0 0 0 0 0 0 0<br />
Wed 22 Jun 11 306 0 0 0 0 0 0 0 0 0<br />
Thu 23 Jun 11 307 0 0 0 0 0 0 0 0 0<br />
Fri 24 Jun 11 308 0 0 0 0 0 0 0 0 0<br />
Mon 27 Jun 11 309 0 0 0 0 0 0 0 0 0<br />
Tue 28 Jun 11 310 0 0 0 0 0 0 0 0 0<br />
Wed 29 Jun 11 311 0 0 0 0 0 0 0 0 0<br />
Thu 30 Jun 11 312 0 0 0 0 0 0 0 0 0
79<br />
Fri 1 Jul 11 313 0 0 0 0 0 0 0 0 0<br />
July 4: Di Rupo hands in a 111-page long note, based on<br />
Mon 4 Jul 11 314<br />
his meetings with all nine parties.<br />
0 0 0 0 0 1 0 0 1<br />
Tue 5 Jul 11 315 0 0 0 0 0 0 0 0 1<br />
Wed 6 Jul 11 316 0 0 0 0 0 0 0 0 0<br />
Thu 7 Jul 11 July 7: N-VA refuses to start negotiating from this note. 317 0 0 0 0 0 -1 0 0 -1<br />
July 8: In reply to this refusal, Di Rupo asks the King for<br />
Fri 8 Jul 11<br />
permission to resign.<br />
318 0 0 0 0 0 -1 0 0 -1<br />
Mon 11 Jul 11 319 0 0 0 0 0 0 0 0 -1<br />
Tue 12 Jul 11 320 0 0 0 0 0 0 0 0 0<br />
Wed 13 Jul 11 321 0 0 0 0 0 0 0 0 0<br />
Thu 14 Jul 11 322 0 0 0 0 0 0 0 0 0<br />
Fri 15 Jul 11 323 0 0 0 0 0 0 0 0 0<br />
Mon 18 Jul 11 324 0 0 0 0 0 0 0 0 0<br />
Tue 19 Jul 11 325 0 0 0 0 0 0 0 0 0<br />
Wed 20 Jul 11 326 0 0 0 0 0 0 0 0 0<br />
July 21: The CD&V agrees to start negotiating<br />
Thu 21 Jul 11<br />
without the N-VA.<br />
327 0 1 0 1 1 1 1 1 1<br />
Fri 22 Jul 11 328 0 0 0 0 0 0 1 1 1<br />
Mon 25 Jul 11 329 0 0 0 0 0 0 0 0 0<br />
Tue 26 Jul 11 330 0 0 0 0 0 0 0 0 0<br />
Wed 27 Jul 11 331 0 0 0 0 0 0 0 0 0<br />
Thu 28 Jul 11 332 0 0 0 0 0 0 0 0 0<br />
Fri 29 Jul 11 333 0 0 0 0 0 0 0 0 0<br />
Mon 1 Aug 11 334 0 0 0 0 0 0 0 0 0<br />
Tue 2 Aug 11 335 0 0 0 0 0 0 0 0 0<br />
Wed 3 Aug 11 336 0 0 0 0 0 0 0 0 0<br />
Thu 4 Aug 11 337 0 0 0 0 0 0 0 0 0<br />
Fri 5 Aug 11 338 0 0 0 0 0 0 0 0 0<br />
Mon 8 Aug 11 339 0 0 0 0 0 0 0 0 0<br />
Tue 9 Aug 11 340 0 0 0 0 0 0 0 0 0<br />
Wed 10 Aug 11 341 0 0 0 0 0 0 0 0 0<br />
Thu 11 Aug 11 342 0 0 0 0 0 0 0 0 0<br />
Fri 12 Aug 11 343 0 0 0 0 0 0 0 0 0<br />
Mon 15 Aug 11 344 0 0 0 0 0 0 0 0 0<br />
Tue 16 Aug 11 345 0 0 0 0 0 0 0 0 0<br />
Wed 17 Aug 11 346 0 0 0 0 0 0 0 0 0<br />
Thu 18 Aug 11 347 0 0 0 0 0 0 0 0 0<br />
Fri 19 Aug 11 348 0 0 0 0 0 0 0 0 0<br />
Mon 22 Aug 11 349 0 0 0 0 0 0 0 0 0<br />
Tue 23 Aug 11 350 0 0 0 0 0 0 0 0 0<br />
Wed 24 Aug 11 351 0 0 0 0 0 0 0 0 0<br />
Thu 25 Aug 11 352 0 0 0 0 0 0 0 0 0<br />
Fri 26 Aug 11 353 0 0 0 0 0 0 0 0 0<br />
Mon 29 Aug 11 354 0 0 0 0 0 0 0 0 0<br />
Tue 30 Aug 11 355 0 0 0 0 0 0 0 0 0<br />
Wed 31 Aug 11 356 0 0 0 0 0 0 0 0 0<br />
Thu 1 Sep 11 357 0 0 0 0 0 0 0 0 0<br />
Fri 2 Sep 11 358 0 0 0 0 0 0 0 0 0<br />
Mon 5 Sep 11 359 0 0 0 0 0 0 0 0 0<br />
Tue 6 Sep 11 360 0 0 0 0 0 0 0 0 0<br />
Wed 7 Sep 11 361 0 0 0 0 0 0 0 0 0<br />
Thu 8 Sep 11 362 0 0 0 0 0 0 0 0 0<br />
Fri 9 Sep 11 363 0 0 0 0 0 0 0 0 0<br />
Mon 12 Sep 11 364 0 0 0 0 0 0 0 0 0<br />
Tue 13 Sep 11 365 0 0 0 0 0 0 0 0 0<br />
Wed 14 Sep 11 366 0 0 0 0 0 0 0 0 0<br />
Night 14-15: agreement on the electoral district of<br />
Thu 15 Sep 11<br />
BHV.<br />
367 0 1 0 1 1 1 1 1 1<br />
Fri 16 Sep 11 368 0 0 0 0 0 0 1 1 1<br />
Mon 19 Sep 11 369 0 0 0 0 0 0 0 0 0<br />
Tue 20 Sep 11 370 0 0 0 0 0 0 0 0 0<br />
Wed 21 Sep 11 371 0 0 0 0 0 0 0 0 0<br />
Thu 22 Sep 11 372 0 0 0 0 0 0 0 0 0<br />
Fri 23 Sep 11 373 0 0 0 0 0 0 0 0 0<br />
Mon 26 Sep 11 September 24: agreement on the financing law. 374 0 1 0 1 1 1 1 1 1<br />
Tue 27 Sep 11 375 0 0 0 0 0 0 1 1 1<br />
Wed 28 Sep 11 376 0 0 0 0 0 0 0 0 0<br />
Thu 29 Sep 11 377 0 0 0 0 0 0 0 0 0<br />
Fri 30 Sep 11 378 0 0 0 0 0 0 0 0 0
80<br />
Mon 3 Oct 11 379 0 0 0 0 0 0 0 0 0<br />
Tue 4 Oct 11 380 0 0 0 0 0 0 0 0 0<br />
October 5: agreement on the judiciary district of<br />
Wed 5 Oct 11<br />
BHV.<br />
381 0 1 0 1 1 1 1 1 1<br />
Thu 6 Oct 11 382 0 0 0 0 0 0 1 1 1<br />
October 7: Moody's decision to place Belgium's Aa1<br />
Fri 7 Oct 11<br />
rating on review for possible downgrade.<br />
383 1 0 0 0 0 0 0 0 0<br />
Mon 10 Oct 11 October 8: global agreement. 384 0 1 0 1 1 1 1 1 1<br />
Tue 11 Oct 11 October 11: the sixth reform of the state is done. 385 0 0 0 0 0 1 1 1 1<br />
Wed 12 Oct 11 386 0 0 0 0 0 0 0 0 1<br />
October 13: Ecolo and Groen! are removed from the<br />
Thu 13 Oct 11 387 0 0 0 0 0 1 0 0 1<br />
negotiating table. Six parties are left to negotiate.<br />
Fri 14 Oct 11 388 0 0 0 0 0 0 0 0 1<br />
Mon 17 Oct 11 389 0 0 0 0 0 0 0 0 0<br />
Tue 18 Oct 11 390 0 0 0 0 0 0 0 0 0<br />
Wed 19 Oct 11 391 0 0 0 0 0 0 0 0 0<br />
Thu 20 Oct 11 392 0 0 0 0 0 0 0 0 0<br />
Fri 21 Oct 11 393 0 0 0 0 0 0 0 0 0<br />
Mon 24 Oct 11 394 0 0 0 0 0 0 0 0 0<br />
Tue 25 Oct 11 395 0 0 0 0 0 0 0 0 0<br />
Wed 26 Oct 11 396 0 0 0 0 0 0 0 0 0<br />
Thu 27 Oct 11 397 0 0 0 0 0 0 0 0 0<br />
Fri 28 Oct 11 398 0 0 0 0 0 0 0 0 0<br />
Mon 31 Oct 11 399 0 0 0 0 0 0 0 0 0<br />
Tue 1 Nov 11 400 0 0 0 0 0 0 0 0 0<br />
Wed 2 Nov 11 401 0 0 0 0 0 0 0 0 0<br />
Thu 3 Nov 11 402 0 0 0 0 0 0 0 0 0<br />
Fri 4 Nov 11 403 0 0 0 0 0 0 0 0 0<br />
Mon 7 Nov 11 404 0 0 0 0 0 0 0 0 0<br />
Tue 8 Nov 11 405 0 0 0 0 0 0 0 0 0<br />
Wed 9 Nov 11 406 0 0 0 0 0 0 0 0 0<br />
Thu 10 Nov 11 407 0 0 0 0 0 0 0 0 0<br />
Fri 11 Nov 11 408 0 0 0 0 0 0 0 0 0<br />
Mon 14 Nov 11 409 0 0 0 0 0 0 0 0 0<br />
Tue 15 Nov 11 410 0 0 0 0 0 0 0 0 0<br />
Wed 16 Nov 11 411 0 0 0 0 0 0 0 0 0<br />
Thu 17 Nov 11 412 0 0 0 0 0 0 0 0 0<br />
Fri 18 Nov 11 413 0 0 0 0 0 0 0 0 0<br />
Mon 21 Nov 11 414 0 0 0 0 0 0 0 0 0<br />
Tue 22 Nov 11 415 0 0 0 0 0 0 0 0 0<br />
Wed 23 Nov 11 416 0 0 0 0 0 0 0 0 0<br />
Thu 24 Nov 11 417 0 0 0 0 0 0 0 0 0<br />
Fri 25 Nov 11 November 25: S&P downgrade Belgium. 418 1 0 0 0 0 0 0 0 0<br />
Mon 28 Nov 11 November 26: political agreement on the budget. 419 0 1 0 1 1 1 1 1 1<br />
Tue 29 Nov 11 420 0 0 0 0 0 0 1 1 1<br />
November 30: conclusion of the governmental<br />
Wed 30 Nov 11<br />
agreement.<br />
421 0 1 0 1 1 1 1 1 1<br />
Thu 1 Dec 11 422 0 0 0 0 0 0 1 1 1<br />
Fri 2 Dec 11 423 0 0 0 0 0 0 0 0 0<br />
Mon 5 Dec 11 424 0 0 0 0 0 0 0 0 0<br />
Tue 6 Dec 11 December 6: Elio Di Rupo takes the oath.<br />
425 0 1 0 1 1 1 1 1 1<br />
Wed 7 Dec 11 426 0 0 0 0 0 0 1 1 1<br />
Thu 8 Dec 11 427 0 0 0 0 0 0 0 0 0<br />
Fri 9 Dec 11 428 0 0 0 0 0 0 0 0 0<br />
Mon 12 Dec 11 429 0 0 0 0 0 0 0 0 0<br />
Tue 13 Dec 11 430 0 0 0 0 0 0 0 0 0
Figure A.1: Constituency Brussels-Halle-Vilvoorde.<br />
Source: La Libre Belgique (in de Coorebyter (2011)).
82<br />
Figure A.2: Frequency distribution of the daily returns of the BEL20<br />
over the period: April 19, 2010 - December 13, 2011.<br />
Source: own computation, based on Datastream data.<br />
The returns on financial assets usually do not follow a normal distribution. Akgiray<br />
and Booth (1987) investigated the topic in more detail 107 , reporting that stock returns,<br />
as other financial assets, are leptokurtic (higher peaks around the mean and larger tails).<br />
Similar results can be found in Mandelbrot (1963) and Fama (1965). This kurtosis<br />
problem can be partially solved by ARCH-like processes, as Hsieh (1991) develops, which<br />
explains why these models represent better financial time series.<br />
107 Cited in Cheung and Lai (1993).
83<br />
Table A.1: Final results of the main model, corrected for endogeneity and<br />
heteroskedasticity: 2SLS regression, using a generated instrumental variable for<br />
the political indicator.<br />
Variable Coefficient (Std. Err.)<br />
Main political indicator, free of endogeneity -0.240 ∗ (0.098)<br />
Euro Stoxx 50 return 0.812 ∗∗ (0.018)<br />
Euro Stoxx 50 return 2 0.007 (0.005)<br />
Rating dummy -0.515 ∗ (0.232)<br />
Government bonds yield -0.009 ∗ (0.004)<br />
Predictability indicator 0.058 (0.039)<br />
Euribor change 0.084 ∗ (0.040)<br />
Money growth -0.030 † (0.016)<br />
Intercept -0.128 ∗ (0.058)<br />
Significance levels: † : 10% ∗ : 5% ∗∗ : 1%<br />
Table A.2: Final results of the main model, corrected only for heteroskedasticity:<br />
basic OLS regression, robust to an arbitrary form of<br />
heteroskedasticity.<br />
Variable Coefficient (Std. Err.)<br />
Main political indicator, endogeneous -0.163 † (0.095)<br />
Euro Stoxx 50 return 0.810 ∗∗ (0.018)<br />
Euro Stoxx 50 return 2 0.007 (0.005)<br />
Rating dummy -0.516 ∗ (0.231)<br />
Government bonds yield -0.008 † (0.004)<br />
Predictability indicator 0.057 (0.039)<br />
Euribor change 0.084 ∗ (0.040)<br />
Money growth -0.030 † (0.016)<br />
Intercept -0.126 ∗ (0.058)<br />
Significance levels: † : 10% ∗ : 5% ∗∗ : 1%<br />
The absence of correction for endogeneity of the political indicator substantially<br />
modifies its significance, as the comparison between tables A.1 and A.2 shows. The<br />
coefficients, standard errors and significance of the other regressors remain almost<br />
unchanged.
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