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WORKINGPAPERWORKINGPAPERWORKINGPAPERWORKINGPAPERISSN: 1109-6691

Georgios Moratis Plutarchos Sakellaris

Measuring the systemic importance of banks

2 DECEMBER 2017WORKINGPAPERWORKINGPAPERWORKINGPAPERWORKINGPAPERWORKINGPAPER

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MEASURING THE SYSTEMIC IMPORTANCE OF BANKS

Georgios Moratis Athens University of Economics and Business

Plutarchos Sakellaris

Athens University of Economics and Business

Abstract

We measure the systemic importance of all banks that issue publicly traded CDS

contracts among the world’s biggest 150. Systemic importance is captured by the

intensity of spillovers of daily CDS movements. Our new empirical tool uses Bayesian

VAR to address the dimensionality problem and identifies banks that may trigger

instability in the global financial system. For the period January 2008 to June 2017,

we find the following: A bank’s systemic importance is not adequately captured by

its size. European banks have been the main source of global systemic risk with

strong interconnections to US banks. For the global system, we identify periods of

increased interconnections among banks, during which systemic and idiosyncratic

shocks are propagated more intensely via the network. Using principal components

analysis, we identify a single dominant factor associated with fluctuations in CDS

spreads. Individual banks’ exposure to this factor is related to their government’s

ability to support them and to their retail orientation but not to their size.

JEL classification: E30, E50, E58, E60, G15 Keywords: Macroprudential Policy, Systemic Risk, Financial Markets Acknowledgements: We would like to thank Heather Gibson, Tryphon Kollintzas, Dimitris Korobilis, Dimitris Malliaropoulos, Petros Mygiakis, Frank Smets and seminar participants at Bank of Greece, University of Crete, University of Birmingham and Athens University of Economics and Business for useful comments. This research was conducted when Georgios Moratis was visiting Bank of Greece on the Bank’s programme of cooperation with universities. Correspondence: Georgios Moratis Athens University of Economics and Business 76, Patission Str., 10434, Athens email: [email protected]

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1. Introduction

Macroprudential policy entails bank supervision from a system-wide perspective,

rather than that of the individual institution. The objective is to limit the risk of

system-wide financial crisis as well as to contain the costs to the real economy, if a

crisis erupts. In order to ensure that each institution pays for the externality it

imposes on the global system, the measures applied to each bank should be

calibrated to the systemic importance of each bank. In this paper, we provide a

measure of systemic importance of all banks that issue publicly traded CDS contracts

among the world’s biggest 150 banks, for the period January 2008 to June 2017. We

capture systemic importance by the intensity of spillovers of daily CDS movements.

This measure captures institutional externalities such as “too big to fail”, or “too

correlated to fail.”

We obtain some strong and, in some respects, surprising results. A bank’s

systemic importance is not adequately captured by its size. In addition, a

considerable number of banks officially designated as GSIBs are not ranked high in

terms of our novel measure of systemic importance.1 Throughout the examined

period, European banks have been the main source of global systemic risk with

strong interconnections to US banks. Looking at the time dimension for global

systemic risk, we identify periods of increased interconnections among banks, during

which systemic and idiosyncratic shocks are propagated more intensely via the

network. In a complementary but separate approach, we use principal components

analysis in order to identify a single dominant factor associated with fluctuations in

banks’ CDS spreads. Individual banks’ exposure to this factor is related to their

government’s ability to support them and to their retail orientation but not to their

size. In particular, regarding the bank-sovereign nexus, our evidence is consistent

with fiscally strong sovereigns insulating their large banks from this dominant factor

throughout this period.

Our novel measure of bank systemic importance identifies separately the degree

of externalities originating in a bank from its vulnerability to the system.

1 See FSB (2013) for a description of the methodology for assessing the systemic importance of global systemically important banks (GSIBs) and the higher loss absorbency requirements imposed on them.

4

Externalities are captured by the degree to which a shock experienced by a bank is

propagated to each individual bank in the global bank system. Vulnerability is

captured by the shocks it receives from each bank in the global system. In particular,

we find that more systemically important banks display relatively higher externalities

than vulnerability to the global system. This decomposition better allows the

macroprudential supervisor to differentiate the “cure” according to the individual

bank’s systemic “disease”. The “cure” usually consists of a combination of capital

requirements, quantitative restrictions, and supervisory review actions. Arguably,

our decomposition facilitates an improved approach to safeguarding financial

stability.

Our methodology is based on two pillars. First, we use market information

incorporated in CDS spreads as a reduced-form measure of the linkages among

banks.2 CDS spreads are a better measure of credit risk than bond spreads, equity

returns or other market variables. Second, we use Bayesian VAR to confront the

high dimensionality of bank networks. Past work on this topic had to limit attention

to a subset of global banks because of the dimensionality problem.3 The closest to

our approach is Alter and Beyer (2013), which builds upon the framework of Diebold

and Yilmaz (2009, 2011). We deviate from common practice in the literature by

removing any market-wide shocks through the inclusion of a set of common external

systemic variables. Thus, we allow each bank to become a source of systemic risk

after idiosyncratic shocks through spillovers.

The remainder of this document is structured as follows. Section 2 presents the

existing literature and section 3 describes the process of measuring systemic risk, the

existing frameworks and the motivation. Section 4 presents the methodology and

the data, while section 5 presents the results and section 6 concludes.

2 These linkages may arise from correlated exposures, counterparty relationships or other structural channels. 3 There are two exceptions that address the dimensionality problem using LASSO methods applied to stock return data: Demirer et al. (2017) for the global bank system and Basu et al. (2016) for the U.S. financial system.

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2. Relevant literature

Our paper is closely related to four literature strands. First, it is related to

studies concerning macroprudential policy. The aim of macroprudential policy is to

increase the resilience of individual financial institutions and of the financial system

as a whole, by limiting the build-up of vulnerabilities in order to mitigate systemic

risk (ECB, 2016). It is also used to smooth-out the financial cycle, driven by

fluctuations in credit, leverage and asset prices, which may otherwise result in a

pattern of boom and bust (Dell’Ariccia et al., 2013; Elliot et al., 2013; Cerutti et al.,

2015). Appropriate policies should be designed toward limiting the ex ante

externalities that lead to an excessive build-up of systemic risk, and the ex post

externalities that can generate inefficient failures of otherwise sound institutions in a

crisis. All in all, macroprudential policy is the usage of primarily prudential tools to

limit systemic risk (Crockett, 2000; FSB/IMF/BIS, 2011; IMF 2013).

The literature on macroprudential policy is growing at a fast pace but is still at

an early stage and historical experience is thin. The most relevant part of the

literature aims at assessing the systemic importance of GSIBs. The most important

framework is the one developed by Basel Committee on Banking Supervision (BCBS).

The framework compares each bank’s activity over twelve indicators and finally

assigns a score to each bank. The indicators include the size, the interconnectedness,

the substitutability, the complexity and the cross-jurisdictional activity of each bank.

The BCBS methodology has also been used by Financial Stability Board for the

identification of GSIBs. This methodology has been transposed in the EU regulatory

framework (see Article 131 of the Capital Requirements Directive IV (CRDIV)), which

defines global systemically important institutions or G-SIIs. The BCBS/FSB framework

for determining systemic risk has some deficiencies. It assigns primal importance to

size, as all bank characteristics considered are directly related to size. However, the

premise that the biggest banks are the most dangerous ones for financial stability is

not necessarily backed by empirical evidence. In addition, the weights assigned to

the characteristics are arbitrary. Finally, it does not provide any information on the

degree of externalities between a particular systemically important bank and any

other one in the system. Our contribution is to use direct observations on credit risk

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to measure externalities between any two banks in the global system. In this way,

we quantify the degree of danger that any bank may pose to the financial system or

parts of it. Our methodology flexibly updates the classification dynamically as new

information is obtained.

The second relevant field of literature entails alternative systemic risk rankings

for financial institutions. There are many methodologies for calculating the exposure

of financial institutions to changes in current economic conditions, how

concentrated the risks are among the financial institutions and how closely linked

they are with each other. One grouping of methodologies employs price-based

systemic risk rankings such as banks’ VaR (Adams, Fuss, and Gropp, 2014; White,

Kim, and Manganelli, 2015), ∆CoVaR (Adrian and Brunnermeier, 2014; Castro and

Ferrari, 2014) and MES (Acharya, Pedersen, Philippon, and Richardson, 2010). These

measure the VaR or MES of financial institutions conditional on the entire set of

institutions performing poorly.

A second grouping of such metrics incorporates book values as well and includes

SRISK (Acharya, Engle, and Richardson, 2012; Brownlees and Engle, 2015), leverage

ratio (Fostel and Geanakoplos, 2008; IMF, 2009; Geanakoplos and Pedersen, 2014),

and CAPM beta times market capitalization (Benoit, Colliard, Hurlin, and Perignon,

2015). Finally, the distressed insurance premium (DIP) by Huang et al. (2011)

measures the insurance premium required to cover distressed losses in the banking

system.

These closely related approaches have a key weakness, which is that they do not

provide information on the pairwise directional connectedness. In other words, they

do not describe externalities between any two banks in the global system. In

response to this shortcoming, some papers (see Billio et al, 2012) use Granger

causality as a tool to uncover directionality. However, Granger causality is unable to

consider contemporaneous movements, control for exogenous variables, quantify

intensities of effects, or consider multi-dimensional networks. All these aspects are

enabled by our methodology and measure.

A third group of relevant papers deals with the estimation of high-dimensional

VAR models. Our approach is closely related to the approach developed by Alter and

7

Beyer (2013), which is based on the framework of Diebold and Yilmaz (2009, 2011).

The high-dimensionality problem had forced research on global bank connectedness

to limit analysis to small samples of banks. Needless to say, this is not appropriate

when considering bank importance for the global system. A relevant methodology

has been recently suggested by Demirer, Diebold, Liu and Yilmaz (2017), who use

LASSO methods to shrink, select and estimate the high-dimensional network linking

the publicly-traded subset of global banks. In a similar vein, Basu et al. (2017) use

Lasso penalized Vector Autoregressive model to estimate a model that leverages a

system-wide approach to identify systemically important financial institutions in the

U.S. Our distinct approach is to use Bayesian VAR in order to resolve the

dimensionality problem.

Finally, our paper relates to studies that apply principal components methods to

analyze systemic risk. Billio et al. (2010) suggested that an important symptom of

systemic risk is the presence of sudden regime shifts. Giglio et al. (2015) proposed

dimension-reduction estimators for constructing systemic risk indexes from the cross

section of measures and prove their consistency in a factor model setting. We differ

by examining individual bank loadings on the dominant factor associated with

fluctuations in bank CDS spreads and determining which observable characteristics

are related to these. This approach provides solid empirical basis for using relevant

characteristics as indicators to measure systemic importance indirectly.

3. Definition of systemic importance

Systemic risk may originate in an endogenous build-up of financial imbalances

possibly associated with a booming financial cycle; large aggregate shocks hitting the

economy or the financial system; or contagion effects across markets, intermediaries

or infrastructures. Our study focuses on contagion among banks and measures the

systemic importance of a bank by the amount of spillovers it receives from and sends

to the rest of the banking system. According to Allen et al. (2012) contagion refers to

the risk that the failure of one financial institution leads to the default of others

through a domino effect in the interbank market, the payment system, or through

asset prices. We adopt the “pure-contagion” (Gomez-Puig and Sosvilla Rivero, 2014)

8

definition by controlling only for external common factors through the inclusion of a

set of common external systemic risk factors, and assume that each bank could

become itself a source of systemic risk as a result of an idiosyncratic shock.

The following example illustrates how we measure the systemic importance of

banks (see Figure 1). Assume that there exist three banks. Focusing on bank A as the

source of shocks, figure 1 presents the potential impact of an idiosyncratic shock on

bank A to bank B and to bank C, separately. Bank A sends a ten-unit shock to B and a

seventeen-unit shock to C, a total of 27. Next, we focus on the shocks received by

bank A from the other banks in the system. Bank A receives a twenty-one-unit shock

from bank B and a five-unit shock from bank C, a total of 26. If we sum the shocks

that bank A sends to and receives from the system, we obtain an estimate of the

degree of connectedness for bank A. This is a valid measure of bank A’s systemic

importance. This procedure is repeated in order to calculate the systemic

importance of bank B and bank C.

[Figure 1 here]

[Table 1 here]

Table 1 presents the entire picture for all three banks in the system. Shocks

emanate from row banks to column banks. Each row shows the contagion effects of

an equal-sized impulse to the relevant bank in the first column. In the last column,

we aggregate the total externality effects of each row bank. The columns provide the

picture of vulnerability of each bank to shocks in different banks. The second to last

row is a measure of total vulnerability of a bank to all other banks in the system. It

contains the answer to the question: “If all other banks in the system experienced

simultaneously an idiosyncratic shock of 100 basis points, what would be the impact

on bank X?” In the bottom row, we aggregate the total externality effect and the

total vulnerability effect of each bank. In other words, we lump together shocks sent

and received by an individual bank as a measure of total individual bank

connectedness. In calculating a bank’s systemic importance, we assign equal

weights to shocks it sends as to shocks it receives, as we are agnostic as to whether

one source of systemic instability is more dangerous than the other.

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There are two aspects of financial contagion due to a bank’s participation in a

banking system that are of relevance to regulators: externalities emanating from a

bank’s failure and individual bank vulnerability to financial contagion. Both

components are important for regulators but their importance may not be equal. If

they are of equal importance, then the regulator would consider the sum of these

two. However, the clear decomposition in Table 1, as well as in our econometric

method, allows the regulator to assign different weights in order to capture the

appropriate measure of systemic importance.

4. Data and methodology

4.1 Data

We study 77 banks from 19 developed and 7 emerging economies. Our selection

procedure is as follows. We started with the list of the world’s top 150 banks, in

terms of total assets in Q4:2016. Using bank names, we matched 77 banks to CDS

prices from Thomson-Reuters Datastream and Bloomberg. CDS spreads cover the

period from January 2008 to June 2017 and are at daily frequency. The sample

contains all banks that are designated as “global systemically important banks”

(“GSIB’s”) by the Basel Committee on Banking Supervision, except for three Chinese

banks (Agricultural Bank of China, Bank of China, and Industrial and Commercial

Bank of China) and one French bank (Group BPCE). Table 2a (in the Appendix)

classifies banks by assets and provides detail on the 77 banks in the sample, such as

home-country and total assets, while table 2b (in the Appendix) classifies banks by

home-country. We note that 40 out of the 77 banks (52%) in the sample are from

Europe while 28 of them (34%) are headquartered in Eurozone members. Tables 3a

and 3b (in the Appendix) provide the regional characteristics of the sample.

[Tables 2a, 2b, 3a, 3b here]

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4.1.1 Systemic risk factor

We allow for the presence of a global systemic risk factor. This permits us to

interpret robustly the results obtained from our model. Longstaff et al. (2011), for

instance, has argued that credit risk appears related to global rather than country-

specific factors, while Aizenman et al. (2013) has established the importance of

international economic factors in the pricing of credit risk. The variables we chose to

employ in order to capture global financial risk conditions have been widely used in

related studies as control variables (see, among others, De Santis, 2012; Aizenman et

al., 2013; Ang and Longstaff, 2011). The global default risk conditions are

represented by: the CDX, which is the family of CDS indices covering North America,

the VIX volatility index which captures the global capital markets’ “fear” condition,

and the global liquidity conditions, which is represented by the US 3-month treasury

bills. The systemic factor is assumed to affect the endogenous variables

contemporaneously. Table 4 contains the variable definitions and Table 5 provides

descriptive statistics.

[Tables 4, 5 here]

4.1.2 Bank-specific characteristics

A variety of bank- and country-specific variables are used for identifying the

determinants of systemic risk fluctuation over time. The first bank-specific variable is

bank size expressed as each bank’s total assets (in log). According to BIS (2011a) the

larger a bank is, the more likely it is to receive a bailout package. In this sense, we

also take into consideration the “too-big-to-fail” (TBTF) issue (Acharya et al., 2013).

The second bank-specific variable is the loan-to-asset ratio, which provides

information on the bank’s retail orientation. Ayadi et al. (2011) and Köhler (2013)

suggest that retail-orientated banks appeared to be less risky than other banks

during the recent financial crisis. Also, according to Altunbas et al. (2011) the non-

interest income over total revenue is considered to be a measure of each bank’s

diversification, since the less a bank relies on interest income, the less exposed the

11

bank is to a negative shock. Finally, we include each bank’s nonperforming loans

over total loans (see Tables 4 and 5).

4.1.3 Country-specific characteristics

It is important to include country-specific factors, since the impact of

macroprudential policy might differ depending on the underlying economic

conditions of each bank’s home country. For example, the impact of shocks may be

different for economies that were under stress and hence rely more on rescue

packages and foreign financing (IMF 2015a). These economies would not have the

same ability to support effectively their banking systems in times of distress. We

investigate the role of sovereigns through a bank’s home-country GDP growth, the

primary surplus over GDP, and public debt over GDP.

4.1 Connectedness matrix

We estimate a VARX model with two lags (p=2) for the endogenous variables and

contemporaneous exogenous variables (q=0).

The vector of endogenous variables (y) consists of log differences of daily CDS

spreads for the 77 banks. By including the exogenous variables, we account for

common factors that affect at the same time all bank CDS spreads (Bekaert et al.,

2005).

4.2.1 Bayesian VAR

The suggested model has many more parameters than observations, and as a

consequence could perform poorly. Researchers working in the relevant literature

typically use prior shrinkage on the parameters to overcome such over-

parametrization concerns. Most flexible Bayesian priors that result in shrinkage of

high-dimensional parameter spaces rely on computationally intensive Markov Chain

Monte Carlo (MCMC) methods. Their application to recursive forecasting exercises

ttttt uXBYAYAaY   122110

12

can, as a consequence, be prohibitive or even infeasible. The only exception is the

traditional “Minnesota prior”, an empirical-Bayes prior which is due to Littermann

(1979) and co-authors (see, e.g. Doan, Litterman, and Sims, 1984) and still dominates

many applications of VAR models in economics.

The “Minnesota prior” is based on the natural conjugate prior, an idea that has

recently been exploited by Banbura, Giannone and Reichlin (2010) and Giannone,

Lenza and Primiceri (2012), among others. While this prior allows for an analytical

formula for the posterior, there is a cost in terms of flexibility in that a priori all VAR

equations are treated in the same manner; see Koop and Korobilis (2010) for a

further discussion of this aspect of the natural conjugate prior. For computational

simplicity we restrict the model to use conjugate prior is (whose posterior has the

same distributional family as the prior distribution). This restriction allows for

analytical calculation of the Bayesian VAR, rather than simulation-based estimation

(e.g. the MCMC method). It is also worth noting that the choice of priors does not

imply the need for different Bayesian techniques of estimation. Disagreement over

the priors may be addressed by post-estimation sensitivity analysis evaluating the

robustness of posterior quantities of interest to different prior specifications.

We estimate the coefficients of a VARX(2) for 77 banks using the log differences

of each bank’s CDS. As we explained above, a key concern of users of Bayesian

statistics, and criticism by critics, is the dependence of the posterior distribution on

one’s prior and for this reason we specify hyperparameters for the prior.

The Bayesian VARX(p,s) model can be written as:

𝑦𝑡 = 𝑎0 +∑𝐴𝑗𝑦𝑡−𝑗 +∑𝛩𝑖 ∗𝑥𝑡−𝑖 + 𝜀𝑡

𝑠

𝑖=0

𝑝

𝑗=1

where yt for t = 1,..., T is an M x 1 vector containing observations on M time series

variables, εt is an M x 1 vector of errors, α0 is an M x 1 vector of intercepts and Aj is

an M x M matrix of coefficients. We assume εt to be i.i.d. N (0, Σ). The prior means

for the exogenous coefficients are set to zero.

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4.2.2 The connectedness matrix framework

The construction of the diagnostic tool is based on a medium-size Bayesian

vector autoregressive model with exogenous variables (Bayesian VARX) that

accounts for common global and regional trends, and is able to include even bank-

specific characteristics. Then, similar to the framework described by Diebold and

Yilmaz (2009, 2012) and the one described by Alter and Beyer (2013), we construct

the spillover matrix in order to capture any potential spillovers among banks. This

methodology relies on Generalized Forecast Error Variance Decomposition (GFEVD)

or on Generalized Impulse Response Functions (GIRF), obtained as shown in Pesaran

and Shin (1998). Therefore, we derive Generalized Impulse Response Functions as

functions of residuals together with the interdependent coefficients. According to

Alter and Beyer (2012), it is of low importance which methodology we select, since

they produce qualitatively similar results.

[Table 6 here]

In table 6, each row variable is an origin of unexpected shock. Column variables

are the respondents that receive the contagion effects. The bottom right cell

represents the total systemic risk index that is defined as the average response per

bank in the connectedness matrix and is calculated as the sum of all non-diagonal

cells divided by the total number of entities. The expression of total systemic risk as

an index makes the overall risk independent of the number of banks in the sample,

making comparison between different samples more precise. The potential

contagion effects from and to each bank are aggregated on each line and column

and represent measures of externalities (To Others) and vulnerability (From Others).

The main diagonal values represent the effect of a variable’s shock on itself, and they

are excluded from any calculations. The possible contagion effects answer the

question “How would bank B evolve in the following period if bank A CDS increased

by one unit shock?”

We use accumulated Impulse Response functions over a 10-step horizon (10-

days). Not all the banks respond to the shocks within the same period but the

majority of the shocks are absorbed within 10 days. Nevertheless, the framework is

flexible and it easily adapts to the needs of the study.

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5. Empirical results

5.1 Individual bank connectedness

We estimate the connectedness matrix as described in section 4.2.2 for the

whole sample period, 1 January 2008 to 31 June 2017, and estimate individual bank

connectedness. A striking result in Table 7 is that systemic importance of a bank

cannot be adequately captured by its size. According to table 7, the bank that

creates the most systemic risk in the system is Intesa Sanpaolo, a medium-sized

European bank that is ranked 27th in terms of total assets.

[Table 7 here]

Intesa Sanpaolo has total contagion effects of 1.056, which may be further

decomposed into a 0.505 vulnerability score and a 0.551 externalities score. Intesa

Sanpaolo’s externalities score of 0.551, implies that a one-unit shock to Intesa

Sanpaolo’s CDS spreads will have an impact of 55.1% to the system. The 0.505

vulnerability score means that simultaneous one-unit shocks to all other banks in the

system will affect Intesa Sanpaolo by 50.5%. Among the top 20 most connected

banks, we find other smaller banks like BBVA (3rd), Credit Lyonnais (10th), Banca

Monte dei Paschi (16th) and Mediobanca (20th). The largest bank in the sample (Bank

of China) is ranked 50th in terms of systemic importance.

The existing literature suggests that during crises, large banks behave differently

than small or medium-sized banks (e.g. Laeven et al., 2014). This phenomenon could

be partially attributed to some common characteristics shared by large banks that

are associated with higher levels of risk, namely increased portion of market-based

activities, reduced capital adequacy, less stable funding and higher organizational

complexity. This literature does not identify a threshold of bank size above which

systemic importance kicks in. A major contribution of our paper is to categorize large

banks directly for the first time on the basis of their systemic importance.

Table 8 confirms that bank size, while relevant, is by no means adequate in

describing a bank’s systemic importance. When banks are ranked by our measure of

systemic importance, the first quartile comprises 34% of total assets in the system.

15

However, when the sample is ranked by bank assets, the first quartile comprises 62%

of total assets in the system. It is also indicative that only half of GSIBS are classified

in the first quartile when ranked by our measure of systemic importance. Clearly,

there are bank characteristics other than size that influence bank systemic

importance.

The existing frameworks used by regulators and policy makers, such as the

BCBS/FSB one, rely heavily on size, either through size-related indicators or size per

se, to determine systemic importance. Our results suggest that this may lead to

inefficient policies.

[Table 8 here]

Next, we calculate the systemic contribution of each bank in the system as the

ratio between the total individual contagion effects and the total contagion in the

system:

100 TSR

Score onContributi i

i

y

y

Contribution is the individual systemic contribution, Score is the total individual

contagion effects (externalities and vulnerability) and TSR is the total systemic risk in

the system. The bank with the highest ranking, Intesa Sanpaolo, contributes 2.25% of

the total systemic risk, while the bank at the bottom of the list, Turkiye is bankasi,

has almost zero contribution (see Table 9). This transformation of the initial table

allows one to compare rankings among samples that contain a different number of

banks.

[Table 9 here]

We define each bank’s directional connectedness as the ratio between the

individual externalities and the total individual contagion (score):

100

i

i

i

y

y

y Score

iesExternalit lityDirectiona , or

16

When directionality is larger than 50%, the bank’s systemic importance is

externalities-driven. The separation of banks according to the directionality of shocks

allows the supervisor to treat them differently in the context of financial stability.

This is important, as externalities and vulnerabilities may have different

determinants, different impact on financial stability and may require different

macroprudential regulation measures. The results in Table 7 show that the larger

banks in the sample emit to the system larger shocks than those they receive, being

more extrovert than smaller banks..

Table 10 shows that banks with higher systemic importance tend to have

higher externalities ratios. In particular, banks in the first quartile have average

individual directionality of 54%, whereas banks in the last quartile average 30%.

[Table 10 here]

5.2 Regional network connectedness

A stark result in Table 7 is that all banks ranked in the first quartile in terms of

systemic importance are European. Table 11a displays the geographic distribution of

all quartiles. There seems to be strong regional clustering in the different quartiles.

For example, the first quartile of systemic importance comprises almost half the

European banks in the sample (see Table 11b). It is also noteworthy that 75% of the

banks ranked in the first quartile in terms of systemic importance are headquartered

in the Eurozone.

[Table 11a here]

[Table 11ab here]

Our methodology provides estimates of CDS spillovers between any pair of

banks in the system. This allows us to explore further regional effects unveiled by

our estimates. We now investigate the flows of contagion between different

regions. This will provide a deeper understanding of the degree of connectedness

among the different regions (see Table 12).

17

We focus on four regions, Europe, North America, Asia and Africa. Table 12a

presents the externalities of region X to each other region as a percentage of region

X’s total externalities. The largest portion of shocks generated in the European

banking system remains within the region. Of course, European banks are not

immune to the banks outside the European Union, but throughout the examined

period they have been more vulnerable to shocks that emanated from within. This is

consistent with the eurozone crisis being of primal importance. European banks

seem to be also the favorite target of shocks emanating from all other world regions.

It seems that over the period Jan. 2008 – Jun. 2017 European banks absorbed the

majority of shocks that were being transmitted in the global banking system, being

by far the most vulnerable banking block. Table 12b displays evidence that 64% of

the aggregate shocks that are received by U.S. banks are generated in Europe. Thus,

we conclude that the European and U.S. banking sectors have been strongly

interconnected and severely exposed to each other.

[Table 12 here]

The highly interconnected banking system, the feedback loop among sovereigns

and banks, and the high transmission of contagion effects from one country to the

other, put the European banking system in the eye of the storm throughout the

examined period.

5.3 National banking system importance

We turn to examining the systemic importance at the national bank level. We

calculate the average bank systemic risk for each country in the sample (see Figure

2). The eight leading countries are all in Europe, amplifying the evidence that the

majority of turmoil during 2008 – 2017 stemmed from the interior of the European

Union and, in particular, from the eurozone.

[Figure 2 here]

French banks suffered from their exposure to the sovereign debt of peripheral

euro-area countries and the withdrawal of funds by U.S. money market mutual. Italy

and Spain, both of which suffered from banking systems in distress, contributed

18

heavily as well. This verifies the concerns regarding the systemic importance of

relatively smaller banks and their potential effects on the global financial stability.

Banks in non-eurozone countries, i.e. Swiss and UK banks are also of great systemic

importance. The average systemic importance of German banks places them almost

in the middle of the league. Finally, both the Portuguese and especially the Greek

banking system appeared to be isolated from the global banking system, while

shocks emanating from these banks remained largely within the boundaries of their

national banking system.

5.3 Rolling window analysis

5.3.1 Individual Banks

In order to better understand the evolution of systemic risk and how this

fluctuated over the whole period we apply rolling-window Bayesian VAR analysis.

The length of the window is 340 days and the step is 150 days. Figure 3 presents the

evolution of bank systemic importance over the examined period indicating strong

co-movement and interconnections among banks.

There are periods where the cluster of systemic importance lines shrinks in spread.

These are periods when systemic risk becomes more homogeneous across banks.

[Figure 3 here]

We introduce a new metric, which we call systemic risk range, defined as the

difference between the highest and the lowest systemic importance score in the

system (see Figure 4). A lower range signifies more homogeneous systemic

importance scores in the global banking system. It is interesting to note that this

metric attains its lowest value in the period just after the collapse of Lehman

Brothers.

[Figure 4 here]

19

5.3.2 Global banking system

We move on to analyzing aggregate contagion effects. Total Systemic risk (TSR)

is defined as the total sum of the off-diagonal entries in the connectedness matrix,

or as the sum of the “from” column or “to” row measures total connectedness.

  

N

ij ji

H

ij

H IRTSR 1,

A slightly different but more interpretable and inclusive way of presenting total

systemic risk is the Total Systemic Risk index (TSRI) which is defined as the average

response per bank in the connectedness matrix and is calculated as the sum of all

non-diagonal cells divided by the total number of entities:

    N

i j yy ji IR

N TSRI

1 1

1

Since cumulative IRs lie in the interval [0,1], the index will be bound between 0 and

100. A higher contagion index implies a tightening of the nexus among banks (see

Figure 5).

[Figure 5 here]

Total connectedness reached its peak after the collapse of Lehman Brothers.

Another important period was associated with the developments in the European

banking and sovereign debt markets that shocked some EU member countries until

mid-2012. The Greek crisis and then, in early 2011, the inclusion of Italy and Spain to

the countries with stressed banking systems pushed total systemic connectedness

upwards. After early 2012, the actions taken by the ECB contained system-wide

contagion. However, after mid 2015 market concerns about euro area banks’

longer-term profitability prospects as well as higher political uncertainty regarding

UK membership in the EU and the US election, contributed to the sharp increase in

20

the index. Another major concern for global markets was the crisis in Deutsche Bank

as the bank had deep connections to global financial institutions. However, since

early 2017 total systemic connectedness has been decreasing substantially.

5.3.3 Rolling window – regional systemic contribution

In this subsection, we concentrate on the European and U.S. banking systems.

We track the evolution of the systemic importance of the two regions calculated as

the ratio of aggregated systemic importance scores of banks in a region over those in

the complete sample. Figure 6 compares the systemic contribution of these regions.

The share of systemic risk due to European banks increased dramatically after 2014,

while the contribution of U.S. banks started dropping after late 2011 and has

remained lower since. The difference between the systemic contribution of

European and US banks fluctuates between 40% and 55%. The fact that the share of

a region’s systemic contribution increases does not necessarily mean that total

systemic risk increases as well. The sharp increase in European banking sector’s

systemic importance starting in early 2014 is probably related to the persistent

accumulation of non-performing loans and contagion effects from the Deutsche

bank crisis.

[Figure 6 here]

5.4 Principal components analysis

So far in this paper, we used an impulse response methodology to study how one

bank’s risk contaminates another’s. In this section, we depart from these novel

measures of systemic importance for banks. Instead, we study contemporaneous

comovements in the CDS spreads of banks. We identify factors that make banks

move together and observable characteristics that are related to them. We use

principal components analysis (PCA), in which movements banks’ CDS spreads are

decomposed into movements of orthogonal factors of decreasing explanatory power

(see Muirhead, 1982 for an exposition of PCA).

21

PCA produces the decomposition of the variance-covariance matrix of CDS

spreads of the 77 banks contained in the sample into the orthogonal matrix of

loadings (eigenvector of the correlation matrix of CDS spreads) and the diagonal

matrix of eigenvalues. We focus on the first three eigenvalues as they explain most

of the variation in the system. When bank CDS spreads co-move more intensely

together, these three eigenvalues should explain a larger portion of the total

volatility in the system. Therefore, periods, when the first three factors account for

larger share of total volatility suggest increased interconnection among banks.

We apply rolling window PCA, where the length of the window is 200 days and

the step is 100 days, over the period January 2008 to December 2016 (see Figure 7).

The first component accounts for between 30% and 40% of total variance in the

observed variables while component 2 and 3 seem to have limited explanatory

power and limited variation in that. Consequently, we focus our analysis on the first

component. The identification of a single dominant component that determines the

fluctuations of CDS spreads is in line with the evidence in Fontana and Scheicher

(2010). According to Billio et al. (2012), during periods of distress, fewer

components explain a larger part of the volatility in CDS spreads, thus revealing

increased systemic risk.

[Figure 7 here]

We now ask the question: Which observable bank and country characteristics are

related to the exposure of a bank’s CDS movements to the dominant common

factor? We run the following cross-sectional regression each year over the period

2008-2016:

ii

iiiiiii

Debt

SurplusGDPNIINPLsLoansAssetsay







7

654321

yi is bank i’s loading on the first component.

22

[Table 9 here]

The observable bank-specific characteristics we explore are: total value of bank

assets (in logs), its retail orientation (total loans/total assets in levels), NPLs/ total

loans, and non-interest income / total revenue. We also relate the following home-

country characteristics: GDP growth, primary surplus/GDP, public debt/GDP). The

sub-sample used in this regression contains 47 banks that have been matched to

bank-specific characteristics.

Table 13 contains the results. Throughout the examined period, retail

orientation affects strongly and negatively the banks’ loadings in the first

component. This indicates that retail-orientated banks have been less exposed to

secular movements in the dominant common factor over the decade examined in

this paper. Surprisingly, non-performing loans, diversification as well as bank size

seem to have an insignificant effect on bank exposure to systemic movements.

Regarding country-specific characteristics, a strong result is that the home country’s

GDP affects strongly and negatively the exposure of banks to systemic risk. This is

evidence that, in cases of a distressed sovereign, home banks are less exposed to the

common factor. The opposite holds where the sovereign is strongly solvent. In

addition, Debt/GDP is negatively and significantly associated with the exposure to

systemic risk and it seems that banks with weaker sovereigns have less reliance on

the interbank market and are, thus, less affected by global shocks.

[Table 13 here]

6 Conclusions

Macroprudential policy is still in its infancy. Much work is still needed on

developing good and timely analysis, effective policy instrument tools, and effective

implementation. Our paper makes a contribution on the dimension of analysis and

measurement. The key aim of macroprudential policy is to address externalities and

spillovers among financial institutions in an effort to safeguard financial stability.

These interactions are complex. We provide a tool that clarifies and quantifies

these interactions expressing them in a single score. Our measure can guide

appropriate macroprudential policies that aim to internalize these externalities. A

23

key conclusion from our study is that a focus on size does not adequately address

the systemic importance of banks.

24

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28

APPENDIX

Table 1: Directional connectedness matrix

Shock/Response Bank A Bank B Bank C To Others

(Externalities)

Bank A - 10 17 27

Bank B 21 - 28 49

Bank C 5 19 - 24

From Others (Vulnerability) 26 29 45 100

Score 53 78 69

Note: Variables in the first column are the impulse origin, while variables on the top row are the respondents to the shock.

29

Table 2a: Banks ordered by Total Assets (in US $ billion)

Rank Bank Name Country Total assets,

US$B

1 Bank of China China 2,613 2 Mitsubishi UFJ Financial Group Japan 2,597 3 JPMorgan Chase & Co USA 2,490 4 HSBC Holdings UK 2,374 5 BNP Paribas France 2,196

6 Bank of America USA 2,187 7 Wells Fargo USA 1,930 8 China Development Bank China 1,904 9 Credit Agricole Group France 1,821 10 Citigroup USA 1,792

11 Mizuho Financial Group Japan 1,757 12 Deutsche Bank Germany 1,682 13 Sumitomo Mitsui Financial Group Japan 1,654 14 Barclays PLC UK 1,490 15 Societe Generale France 1,461

16 Banco Santander Spain 1,416 17 Lloyds Banking Group UK 1,004 18 Norinchukin Bank Japan 984 19 Royal Bank of Scotland Group UK 981 20 UBS Group AG Switzerland 919

21 Unicredit S.p.A. Italy 908 22 ING Groep NV Netherlands 893 23 Goldman Sachs Group USA 860 24 Morgan Stanley USA 814 25 Credit Suisse Group Switzerland 806

26 BBVA Spain 773 27 Intesa Sanpaolo Italy 766 28 Commonwealth Bank of Australia Australia 703 29 Rabobank Group Netherlands 700 30 Australia & New Zealand Banking Group Australia 661

31 Nordea Sweden 651 32 Standard Chartered Plc UK 646 33 Westpac Banking Corp Australia 607 34 National Australia Bank Australia 562 35 Commerzbank Germany 549

36 Danske Denmark 495 37 State bank of India India 492 38 U.S. Bancorp USA 445 39 The Export-Import Bank of China China 427 40 Sberbank of Russia Russia 420

41 Resona Japan 412 42 Sumitomo Mitsui T.H. Japan 406 43 Nomura Holdings Japan 370 44 PNC Financial Services USA 366 45 Capital One Financial Corporation USA 357

46 DBS Group Holdings Singapore 332 47 Shinhan Financial Group South Korea 328 48 KBC Group NV Belgium 291 49 Svenska Handelsbanken Sweden 289 50 Skandinaviska Enskilda Banken Sweden 289

51 Hana Financial Group South Korea 288 52 Nationwide Building Society UK 276 53 Korea Development Bank South Korea 268

30

Table 2a – Continued from previous page

54 Woori Bank South Korea 257 55 Landesbank Baden-Wurttemberg Germany 257

56 Cathay Financial Holding Taiwan 252 57 Swedbank Sweden 237 58 United Overseas Bank (UOB) Singapore 235 59 Dexia Belgium 225 60 Banco Sabadell Spain 224

61 Bayerische Landesbank Germany 224 62 Erste Group Bank AG Austria 220 63 Banco Popular Espanol Spain 204 64 Industrial Bank of Korea South Korea 196 65 Bank of Ireland Ireland 182

66 Malayan Malaysia 161 67 Standard Bank Group South Africa 161 68 Banca Monte dei Paschi di Siena Italy 161 69 American Express USA 158 70 National Bank of Greece Greece 153 71 Macquarie USA 143

72 Credit Lyonnais France 120 73 Comercial Portuguese Portuguese 113 74 Banco Espirito Santo Portugal 112 75 Turkiye is bankasi Turkey 112 76 Mediobanca Italy 95

77 Landesbank Hessen Germany 92

31

Table 2b: Banks ordered by Country

Rank Bank Country Total assets,

US$B

1 Commonwealth Bank of Australia Australia 703 2 Australia & New Zealand Banking Group Australia 661 3 Westpac Banking Corp Australia 607 4 National Australia Bank Australia 562

5 Erste Group Bank AG Austria 220

6 KBC Group NV Belgium 291 7 Dexia Belgium 225

8 Bank of China China 2,613 9 China Development Bank China 1,904

10 The Export-Import Bank of China China 427

11 Danske Denmark 495

12 BNP Paribas France 2,196 13 Credit Agricole Group France 1,821 14 Societe Generale France 1,461 15 Credit Lyonnais France 120

16 Deutsche Bank Germany 1,682 17 Commerzbank Germany 549 18 Landesbank Baden-Wurttemberg Germany 257 19 Bayerische Landesbank Germany 224 20 Landesbank Hessen Germany 92

21 National Bank of Greece Greece 153

22 State bank of India India 492

23 Bank of Ireland Ireland 182

24 Unicredit S.p.A. Italy 908 25 Intesa Sanpaolo Italy 766 26 Banca Monte dei Paschi di Siena Italy 161 27 Mediobanca Italy 95

28 Mitsubishi UFJ Financial Group Japan 2,597 29 Mizuho Financial Group Japan 1,757 30 Sumitomo Mitsui Financial Group Japan 1,654 31 Norinchukin Bank Japan 984 32 Resona Japan 412 33 Sumitomo Mitsui T.H. Japan 406 34 Nomura Holdings Japan 370 35 Yamaguchi Financial Group Japan 93

36 ING Groep NV Netherlands 893 37 Rabobank Group Netherlands 700

38 Banco Espirito Santo Portugal 111

39 Sberbank of Russia Russia 420

40 DBS Group Holdings Singapore 332 41 United Overseas Bank (UOB) Singapore 235 42 Standard Bank Group South Africa 161

43 Shinhan Financial Group South Korea 328 44 Hana Financial Group South Korea 288 45 Korea Development Bank South Korea 268 46 Woori Bank South Korea 257 47 Industrial Bank of Korea South Korea 196

48 Banco Santander Spain 1,416 49 BBVA Spain 773 50 Banco Sabadell Spain 224 51 Banco Popular Espanol Spain 204

32

Table 2b – Continued from previous page

53 Nordea Sweden 651 54 Svenska Handelsbanken Sweden 289 55 Skandinaviska Enskilda Banken Sweden 289 56 Swedbank Sweden 237

57 UBS Group AG Switzerland 919 58 Credit Suisse Group Switzerland 806

59 Cathay Financial Holding Taiwan 252

60 Turkiye is bankasi Turkey 112

61 HSBC Holdings UK 2,374 62 Barclays PLC UK 1,490 63 Lloyds Banking Group UK 1,004 64 Royal Bank of Scotland Group UK 981 65 Standard Chartered Plc UK 646 66 Nationwide Building Society UK 276

68 JPMorgan Chase & Co USA 2,490 69 Bank of America USA 2,187 70 Wells Fargo USA 1,930 71 Citigroup USA 1,792 72 Goldman Sachs Group USA 860 73 Morgan Stanley USA 814 74 U.S. Bancorp USA 445 75 PNC Financial Services USA 366 76 Capital One Financial Corporation USA 357 77 American Express USA 158 78 Macquarie USA 143

33

Table 3a: Banks’ home-countries ordered by the sum of total bank assets

Developed Total Assets Developing Total Assets

USA 11547 China 4944 Japan 7867 India 492 UK 6936 Russia 420 France 5599 Taiwan 252 Germany 2994 South Africa 161 Spain 2617 Turkey 112

Australia 2534 Italy 1933

Switzerland 1725

Netherlands 1584 Sweden 1467 South Korea 1340 Singapore 568 Belgium 516 Denmark 495 Ireland 344 Austria 220 Greece 153 Portugal 111 Total Assets of banks that are headquartered in:

Developed 50553.66 Emerging 6382.3 % of total assets 88,8% % of total assets 11,2%

Table 3b: Regional details

Region Number of Banks Total bank

assets % of total

assets

Europe 40 26696,73 47,3

Asia 21 15576,58 27,5

N. America 11 11547,24 20,4

Oceania 4 2534 4,5

Africa 1 161 0,3

34

B. Data Definitions and Descriptive Statistics

Table 4: Data Definitions

Variable Description

Endogenous CDS CDS 5-year spread

Exogenous Systemic risk

CDX The family of CDS indeces covering North America

VIX The volatiliy index of S&P 500

US 3-month T Bill The short-term obligation backed by the Treasury Dept. of the U.S. goverment

Bank-specific Size Total assets

Retail orientation Total Loans / Total assets

Diversification Non-interest income / Total revenues

NPLs Non-performing loans / Total Loans

Country-specific

GDP Each bank’s home-country GDP growth

Budget Balance Current Account/GDP

Public Debt Public Debt/GDP

35

Table 5: Descriptive statistics

Panel A: Systemic risk factor

CDX VIX TED

Mean 2.69E-06 -0.000123 -0.00121 Median 0.000 -0.001 0.000 Maximum 0.020 0.176 0.250 Minimum -0.009 -0.152 -0.750

Std. Dev. 0.001 0.031 0.033 Skewness 4.689 0.689 -17.326

Kurtosis 106.047 6.789 377.496 Jarque-Bera 1105896 1679.364 14610377 Probability 0.000 0.000 0.000

Sum 0.007 -0.304 -3.000 Sum Sq. Dev. 0.003 2.427 2.746

Note: CDX and VIX are in log differences. TED spread is in first differences.

Panel B: Bank specific

Assets Loans_to_Assets Non_Interest_Inc. NPLs

Mean 732.382 55.596 24.42 4.601

Median 458009 59.921 23.78 2.411

Maximum 3030645 86.64 86.40 35.217

Minimum 43543,87 9.070 -59.62 0.1082

Std. Dev. 746001.3 17.017 14.81 5.612

Skewness 1.081 -0.641 -0.694 2.376

Kurtosis 30.129 2.584 6.193 9.630

Jarque-Bera 7.023 272.888 1821.17 9995.01

Probability 0.000 0.000 0.000 0.000

Sum 2.64E+09 200370.2 88037.46 16584.30 Sum Sq. Dev. 2.01E+15 1043392. 790803.6 113486.7

Note: Data are in levels

36

Table 6: Contagion/connectedness matrix

Note: Variables in the first column are the impulse origin, while variables on the top row are the respondents to the shock. The impact is bound between 0 and 1. A value of 0.3 means that the response variable would be impacted in the same direction with an intensity of 30% the initial unexpected shock in the impulse variable. The last column presents the aggregated impact sent (To Others) by each row variable and on the bottom row the aggregated spillover received (From Others) by each column variable.

37

Part B – Global Sample

Table 7: Individual systemic importance

Panel A – Ranked by total score Rank by score

Rank by bank assets Bank Name

Home- Country Region

Assets (billion

US $) Score

From others (Aggr.)

To others (Aggr.)

1 27 Intesa Sanpaolo Italy Europe 766 1.056 0.505 0.551

2 16 Banco Santander Spain Europe 1416 1.038 0.464 0.574

3 26 BBVA Spain Europe 773 0.987 0.454 0.533

4 5 BNP Paribas France Europe 2196 0.982 0.445 0.537

5 21 Unicredit S.p.A. Italy Europe 908 0.975 0.489 0.485

6 14 Barclays PLC UK Europe 1490 0.961 0.454 0.507

7 12 Deutsche Bank Germany Europe 1682 0.954 0.428 0.526

8 9 Credit Agricole Group France Europe 1821 0.942 0.424 0.518

9 15 Societe Generale France Europe 1461 0.940 0.427 0.512

10 72 Credit Lyonnais France Europe 120 0.938 0.445 0.493

11 17 Lloyds Banking Group UK Europe 1004 0.925 0.438 0.487

12 25 Credit Suisse Group Switz. Europe 806 0.907 0.376 0.531

13 35 Commerzbank Germany Europe 549 0.904 0.410 0.494

14 20 UBS Group AG Switz. Europe 919 0.890 0.387 0.503

15 32 Standard Chartered Plc UK Europe 646 0.870 0.419 0.451

16 68 Banca Monte dei Paschi Italy Europe 161 0.861 0.429 0.433

17 19

Royal Bank of Scotland Group

UK Europe 981 0.845 0.423 0.423

18 29 Rabobank Group Netherl. Europe 700 0.841 0.376 0.465

19 22 ING Groep NV Netherl. Europe 893 0.823 0.374 0.449

20 76 Mediobanca Italy Europe 95 0.821 0.389 0.433

21 24 Morgan Stanley USA N. Amer. 814 0.752 0.315 0.437

22 69 American Express USA N. Amer. 158 0.736 0.332 0.404

23 6 Bank of America USA N. Amer. 2187 0.716 0.318 0.398

24 23 Goldman Sachs Group USA N. Amer. 860 0.711 0.302 0.410

25 10 Citigroup USA N. Amer. 1792 0.706 0.313 0.393

26 4 HSBC Holdings UK Europe 2374 0.695 0.372 0.323

27 62 Erste Group Bank AG Austria Europe 220 0.688 0.314 0.375

28 49 Svenska Handelsbanken Sweden Europe 289 0.678 0.281 0.397

29 53 Korea Development Bank S. Korea Asia 268 0.677 0.393 0.284

30 60 Banco Sabadell Spain Europe 224 0.670 0.295 0.375

31 36 Danske Denmark Europe 495 0.663 0.296 0.367

32 45

Capital One Financial Corp.

USA N. Amer. 357 0.662 0.260 0.401

33 3 JPMorgan Chase & Co USA N. Amer. 2490 0.658 0.257 0.401

34 7 Wells Fargo USA N. Amer. 1930 0.653 0.259 0.394

35 34 National Australia Bank Australia Oceania 562 0.622 0.376 0.247

Table continued on next page

38

Table 7 - Panel A continued from previous page

36 2 Mitsubishi UFJ Financial Japan Asia 2597 0.621 0.223 0.398

37 47 Shinhan Financial Group S. Korea Asia 328 0.615 0.331 0.283

38 54 Woori Bank S. Korea Asia 257 0.612 0.333 0.278

39 64 Industrial Bank of Korea S. Korea Asia 196 0.603 0.341 0.261

40 28 Commonwealth Bank Australia Oceania 703 0.599 0.388 0.211

41 40 Sberbank of Russia Russia Europe 420 0.598 0.294 0.305

42 30 Australia & N. Zealand Australia Oceania 661 0.597 0.383 0.214

43 50 Skandinaviska Enskilda Sweden Europe 289 0.578 0.262 0.316

44 31 Nordea Sweden Europe 651 0.574 0.289 0.285

45 71 Macquarie USA N. Amer. 143 0.572 0.321 0.251

46 48 KBC Group NV Belgium Europe 291 0.568 0.241 0.327

47 63 Banco Popular Espanol Spain Europe 204 0.558 0.297 0.261

48 61 Bayerische Landesbank Germany Europe 224 0.552 0.249 0.303

49 39 The Export-Import Bank China Asia 427 0.548 0.284 0.264

50 1 Bank of China China Asia 2613 0.548 0.276 0.272

51 66 Malayan Malaysia Asia 171 0.543 0.321 0.223

52 33 Westpac Banking Corp Australia Oceania 606 0.540 0.374 0.166

53 37 State bank of India India Asia 492 0.530 0.238 0.291

54 51 Hana Financial Group S. Korea Asia 288 0.518 0.290 0.227

55 57 Swedbank Sweden Europe 237 0.486 0.253 0.233

56 8 China Development Bank China Asia 1904 0.468 0.260 0.208

57 52 Nationwide Building Society UK Europe 276 0.463 0.217 0.246

58 59 Dexia Belgium Europe 225 0.409 0.197 0.212

59 46 DBS Group Holdings Singapore Asia 332 0.397 0.212 0.186

60 65 Bank of Ireland Ireland Europe 182 0.379 0.197 0.182

61 58 United Overseas Bank Singapore Asia 235 0.373 0.214 0.159

62 11 Mizuho Financial Group Japan Asia 1757 0.367 0.271 0.096

63 67 Standard Bank Group S. Africa Africa 161 0.365 0.123 0.242

64 74 Espirito Santos Portugal Europe 112 0.362 0.186 0.176

65 41 Resona Japan Asia 412 0.357 0.263 0.094

66 13 Sumitomo Mitsui Financial Japan Asia 1654 0.355 0.250 0.104

67 38 U.S. Bancorp USA N. Amer. 445 0.353 0.188 0.165

68 55 Landesbank Baden-Wurtt. Germany Europe 257 0.340 0.170 0.171

69 42 Sumitomo Mitsui T.H. Japan Asia 406 0.323 0.273 0.050

70 56 Cathay Financial Holding Taiwan Asia 252 0.298 0.189 0.109

71 73 Comercial Portuguese Portugal Europe 113 0.279 0.268 0.011

72 70 National Bank of Greece Greece Europe 153 0.220 0.176 0.044

73 18 Norinchukin Bank Japan Asia 984 0.215 0.164 0.050

74 43 Nomura Holdings Japan Asia 370 0.197 0.161 0.035

75 77 Landesbank Hessen Germany Europe 92 0.159 0.089 0.071

76 44 PNC Financial Services USA N. Amer. 366 0.078 0.034 0.043

77 75 Turkiye is bankasi Turkey Europe 112 0.037 0.030 0.007

Note: Results concern the period January 2008 – June 2017 and are of daily frequency

39

Table 8: Distribution of assets when banks ranked by systemic importance and by assets

Banks ranked by:

Quartile Systemic Importance

Assets

1st 34% 62%

2nd 33% 22,4%

3rd 18% 10,5%

4th 14% 5,1%

Note: The systemic importance column shows the distribution by quartile of total bank system assets when banks are ranked in terms of systemic importance. The assets column shows the distribution by quartile of total bank system assets when banks are ranked in terms of assets.

40

Table 9: Systemic contribution per bank (January 2008 – June 2017)

R. Bank Name SC R. Bank Name SC R. Bank Name SC R. Bank Name SC

1 Intesa Sanpaolo

2,25 21 Morgan Stanley 1,60 41 Sberbank of Russia

1,28 61 United Overseas

0,80

2 Banco Santander

2,21 22 American Express

1,57 42 Australia & N. Zealand

1,27 62 Mizuho Financial

0,78

3 BBVA 2,10 23 Bank of America

1,53 43 Skandinaviska Enskilda

1,23 63 Standard Bank Group

0,78

4 BNP Paribas 2,09 24 Goldman Sachs Group

1,52 44 Nordea 1,22 64 Espirito Santos

0,77

5 Unicredit S.p.A.

2,08 25 Citigroup 1,51 45 Macquarie 1,22 65 Resona 0,76

6 Barclays PLC 2,05 26 HSBC Holdings 1,48 46 KBC Group NV 1,21 66 Sumitomo Mitsui

0,76

7 Deutsche Bank

2,03 27 Erste Group 1,47 47 Banco Popular 1,19 67 U.S. Bancorp 0,75

8 Credit Agricole

2,01 28 Svenska 1,45 48 Bayerische Landesbank

1,18 68 Landesbank. 0,72

9 Societe Generale

2,00 29 Korea Development

1,44 49 The Export- Import

1,17 69 Sumitomo Mitsui T.H.

0,69

10 Credit Lyonnais

2,00 30 Banco Sabadell 1,43 50 Bank of China 1,17 70 Cathay Financial

0,64

11 Lloyds Banking

1,97 31 Danske 1,41 51 Malayan 1,16 71 Comercial Portuguese

0,59

12 Credit Suisse Group

1,93 32 Capital One Financial Corp.

1,41 52 Westpac Banking Corp

1,15 72 NBG 0,47

13 Commerzbank 1,93 33 JPMorgan Chase & Co

1,40 53 State bank of India

1,13 73 Norinchukin Bank

0,46

14 UBS Group AG 1,90 34 Wells Fargo 1,39 54 Hana Financial 1,10 74 Nomura Holdings

0,42

15 Standard Chartered

1,86 35 National Australia

1,33 55 Swedbank 1,04 75 Landesbank Hessen

0,34

16 Banca Monte dei Paschi

1,84 36 Mitsubishi UFJ Financial

1,32 56 China Development

1,00 76 PNC Financial Services

0,17

17 RBS 1,80 37 Shinhan Financial

1,31 57 Nationwide Building

0,99 77 Turkiye is bankasi

0,08

18 Rabobank Group

1,79 38 Woori Bank 1,30 58 Dexia 0,87

19 ING Groep NV 1,75 39 Industrial Bank of Korea

1,29 59 DBS Group Holdings

0,85

20 Mediobanca 1,75 40 Commonwealth Bank

1,28 60 Bank of Ireland 0,81

Note: Table presents the systemic contribution of each bank in the system as the ratio between the total individual contagion effects and the total contagion in the system

41

Table 10: Directionality of Bank Systemic Importance

Quartile Directionality

1st 54%

2nd 53%

3rd 47%

4th 30%

Note: Table presents the average directionality for banks in each quartile, when ranked by systemic importance. Directionality is the ratio between the individual externalities and the total individual contagion.

Table 11a: Concentration of banks per region

Quartile Europe N. America Asia Oceania Africa

1st 100% - - - -

2nd 25% 40% 25% 10% -

3rd 50% 10% 30% 10% -

4th 35% 12% 48% - 5%

Note: Table presents the regional concentration of banks for each quartile of systemic importance. Banks are ranked by their systemic importance.

Table 11b: Regional concentration as a percentage of total banks per region

Quartile Europe N. America Asia Oceania Africa

1st 47% - - - - 2nd 12% 73% 25% 25% - 3rd 21% 9% 35% 75% - 4th 16% 18% 40% - 100%

Note: The table presents the concentration of banks as a percentage of the total number of banks for each region for each quartile of systemic importance. For instance, 47% of the European banks can be found in the first quartile of systemic importance.

42

Table 12: Regional Bank Network

Panel A – Externalities of a region as a % of this region’s total externalities

Asia Europe N.America Oceania Sum

Asia 41% 41% 9% 9% 100%

Europe 16% 69% 9.6% 5.4% 100%

N.America 19.5% 58% 16% 6.5% 100%

Oceania 33% 44.5% 9.5% 12% 100%

Panel B - Vulnerabilities of a region as a % of this region’s total vulnerabilities

Asia Europe N.America Oceania

Asia 28% 10% 13% 21%

Europe 54% 75% 64% 59%

N.America 12% 12% 20% 13%

Oceania 6% 3% 3% 7%

Sum 100% 100% 100% 100%

Note: Panel A presents the externalities of region X to each other region as a percentage of region X’s total externalities. Panel B presents the vulnerability of region X to each other region as a percentage of region X’s total vulnerability.

43

Table 13: Determinants of each bank’s loadings in the first component over the nine periods

2008 2009 2010 2011 2012 2013 2014 2015 2016

Size -0.012 -0.002 -0.007 -0.012** 0.001 0.004 0.001 -0.002 -0.003

(0.008) (0.007) (0.006) (0.006) (0.007) (0.006) (0.010) (0.008) (0.009)

Loan-to- assets -0.048 -0.142*** -0.113*** -0.136*** -0.135*** -0.114*** -0.212*** -0.210*** -0.239***

(0.043) (0.051) (0.051) (0.051) (0.054) (0.051) (0.078) (0.069) (0.074)

NPLs 0.844*** 0.414 0.352** 0.035 0.004 -0.097 0.333 0.304*** 0.194

(0.349) (0.253) (0.187) (0.183) (0.054) (0.139) (0.187) (0.147) (0.174)

Non-interest- income 0.000 0.000 0.001** 0.000 0.001 0.000 0.001 0.000 0.000

(0.000) (0.000) (0.006) (0.006) (0.000) (0.000) (0.000) (0.000) (0.000)

GDP -0.004 -0.003 -0.006*** -0.003 -0.009*** -0.009*** -0.011*** -0.004*** -0.007

(0.004) (0.002) (0.001) (0.003) (0.054) (0.003) (0.005) (0.001) (0.006)

Primary Surplus/GDP 0.000 -0.002 0.002 0.000 -0.002 -0.004 -0.009*** -0.014*** -0.012***

(0.002) (0.001) (0.001) (0.170) (0.054) (0.003) (0.004) (0.004) (0.005)

Debt/GDP -0.001*** -0.0005*** -0.0006*** -0.001*** -0.0007*** -0.0005*** -0.0005*** 0.000 -0.000***

(0.000) (0.000) (0.000) (0.000) (0.054) (0.000) (0.000) (0.000) (0.000)

_cons 0.300 0.235 0.297 0.372 0.248 0.229 0.252 0.283 0.323

(0.080) (0.076) (0.068) (0.078) (0.054) (0.072) (0.111) (0.094) (0.107)

Note: ***1%, **5%,*10%. Bank size is each bank’s total assets (log). The loan-to-asset ratio (levels) stands for each bank’s retail orientation. The non-interest income (levels) over total revenue is considered to be a measure of each bank’s diversification. The role of sovereigns is examined through a bank’s home-country GDP growth, the primary surplus over GDP (levels), and public debt over GDP (levels).

44

Figure 1: Example of pairwise directional connectedness

Figure 2: Average systemic risk per bank – Own shocks are excluded

Note: Results cover the period January 2008-June 2017.

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45

Figure 3: Evolution of Bank Systemic Importance

Note: Each line depicts the total systemic risk (externalities + vulnerability) for each bank in the sample. The length of the rolling window is 340 days and the step is 150 days.

Figure 4: Systemic risk range

Note: Systemic risk range is defined as the difference between the highest and the lowest systemic importance score in the system. The length of the window is 340 days and the step is 150 days.

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46

Figure 5: Total Systemic Risk Index (TSRI)

Note: TSRI is defined as the average response per bank in the connectedness matrix. The length of the window is 340 days and the step is 150 days.

Figure 6: European, US and Euro-area banks’ contribution to total systemic risk

Note: Figure presents the ratio of aggregated systemic importance scores of banks in Europe, Eurozone and the U.S. over those in the total sample. US banks’ contribution is measured on the right axis.

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47

Figure 7: Rolling Principal Components analysis

Note: Figure presents the first three eigenvalues that explain most of the variation in the system over the period 2008-2016. The length of the window is 200 days and the step is 100 days

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48

BANK OF GREECE WORKING PAPERS

225. Hondroyiannis G. and D. Papaoikonomou, “The Effect of Card Payments on VAT Revenue in Greece”, May 2017.

226. Mamatzakis E.C. and A.N. Vu, “The interplay between quantitative easing and risk: the case of the Japanese banking”, May 2017.

227. Kosma, T., E. Papapetrou, G. Pavlou, C. Tsochatzi and P. Zioutou, “Labour Market Adjustments and Reforms in Greece During the Crisis: Microeconomic Evidence from the Third Wave of the Wage Dynamics Survey”, June 2017.

228. Gibson D.H, and G. Pavlou, “Exporting and Performance: Evidence from Greek Firms”, June 2017.

229. Papaspyrou S. T. “A New Approach to Governance and Integration in EMU for an Optimal Use of Economic Policy Framework - Priority to Financial Union”, June 2017.

230. Kasimati, E. and N. Veraros, “Is there accuracy of forward freight agreements in forecasting future freight rates? An empirical investigation, June 2017.

231. Rompolis, L., “The effectiveness of unconventional monetary policy on risk aversion and uncertainty”, June 2017.

232. Mamatzakis, C. E., and A. Kalyvas, “Do creditor rights and information sharing affect the performance of foreign banks?”, July 2017.

233. Izquierdo M., J. F. Jimeno, T. Kosma, A. Lamo, S. Millard, T. Rõõm, E. Viviano, “Labour market adjustment in Europe during the crisis: microeconomic evidence from the wage dynamics network survey”, September 2017.

234. Economides, G., D. Papageorgiou, and A. Philippopoulos, “The Greek Great Depression: a General Equilibrium Study of its Drivers”, September 2017.

235. Dellas, H., D. Malliaropulos, D. Papageorgiou, E. Vourvachaki, “Fiscal Policy with an Informal Sector”, October 2017.

236. Dellas, H., G.S., Tavlas, “Milton Friedman and the case for flexible exchange rates and monetary rules”, October 2017.

237. Avramidis, P., I. Asimakopoulos, D., Malliaropulos, and N.G. Travlos. “Group affiliation in periods of credit contraction and bank’s reaction: evidence from the Greek crisis”, December 2017.

238. Karadimitropoulou, A., “Advanced Economies and Emerging Markets: Dissecting the Drivers of Business Cycle Synchronization”, December 2017.

239. Bussiere, M., A. Karadimitropoulou, and M. A. León-Ledesma, “Current Account Dynamics and the Real Exchange Rate: Disentangling the Evidence”, December 2017.