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Article

Modelling Systemically Important Banks vis-à-vis the Basel Prudential Guidelines

1
Financial Services Authority, Jakarta 12710, Indonesia
2
School of Business, Western Sydney University, Penrith, NSW 2151, Australia
*
Author to whom correspondence should be addressed.
J. Risk Financial Manag. 2021, 14(7), 295; https://0-doi-org.brum.beds.ac.uk/10.3390/jrfm14070295
Submission received: 24 May 2021 / Revised: 20 June 2021 / Accepted: 21 June 2021 / Published: 26 June 2021
(This article belongs to the Special Issue Economic Forecasting)

Abstract

:
Our paper investigates Indonesia’s systemically important banks (SIBs) using theoretical approaches—CoVaR, marginal expected shortfall (MES), and SRISK—to compare with the Basel guidelines as benchmark. We use Indonesian banks’ market and supervisory data over the 2008–2019 period. The research aims to seek intertheoretical model interaction and SIB ranking in concordance with the Basel guidelines as applied by a bank supervisor. The findings show that SRISK produced a more consistent ranking compared with CoVaR and MES. CoVaR and MES had higher intermodel correlation converted to 59% similarity in rankings. Further, all theoretical models are in line with the Basel guidelines, where the closest approximation is at 47%. The results indicate that policy makers could use scholarly models as validation tools and help improve supervision decision to identify systemically important institutions.
JEL:
G21; G210; G28; G280

1. Introduction

Banking crises are known to be one of the triggers of further financial instability and downturns in economic activity across countries. Research by the Basel Committee on Banking Supervision (BCBS 2010) revealed that, on average, banking crises occur once every 20–25 years, with the exception of the period after the end of the Second World War until the early 1970s–1980s. According to Reinhart and Rogoff (2008), there have been 34 banking crises over the last 25 years among BCBS member countries. Another study, by Laeven and Valencia (2013), found a similar result, with 24 banking crises experienced by BCBS member countries from 1985 to 2009.
Efforts to identify the number of systemically important banks (SIBs) and their systemic risk impact especially after the 2007–2008 global financial crisis have experienced significant growth. Despite the rising number of banks identified as SIBs, factors such as structures, activities, and degree of risks vary significantly across SIBs (BCBS 2018). Strenuous attempts from scholarly research summarized by Bisias et al. (2012) have analyzed supervisory scope, research methodology, and data perspectives, along with attempts to measure risk. A pioneering work by Allen and Gale (2000) published in several papers discusses the vulnerability of the financial system network to spillover effects. Adrian and Brunnermeier (2016) proposed conditional value at risk (CoVaR) to calculate the VaR of banks and its risk effect on other banks when the financial system is under stress. Acharya et al. (2012) proposed systemic expected shortfall using the stock price and credit default swap spread. Brownlees and Engle (2017) introduced the systemic risk measure (SRISK) method to predict the rankings of financial institutions at various stages of the 2008 financial crisis.
From the regulatory side, the first official guideline on SIBs issued by BIS appeared in November 2011 in response to the 2007–2008 global financial crisis (BCBS 2011). Standards were revised in July 2013 and further updated in July 2018 (BCBS 2013, 2018). Based on the current methodology, the global systemically important bank (G-SIB) score is calculated over selected indicators, which are grouped into categories of systemic importance. The score calculation is relatively simple, employing the weight proportion divided into indicators from the data, which are compiled at the micro level or from bank balance sheet data. For assessment down to country-level jurisdiction, BIS allows the local authority to make a discretionary adjustment of the principles with the purpose of capturing the country’s banking characteristics and negative externalities of the local economy (BCBS 2012).
However, none of the above research papers empirically examine a systemic financial institution using the theoretical model devised by BCBS. Several reasons for this can be posited, including limitations of data sources in order to perform the calculation, research scope, and technical issues involved in compiling both market and prudential data. This paper aims to fill this gap by comparing three representative models widely cited by academics to identify SIBs vis-à-vis the Basel-indicator-based methodology. This research approach contributes to the extant research by employing the BCBS methodology, which Basel claims is more robust than the approaches that rely on market variables (BCBS 2018). Our approach uses datasets from Indonesia, considered to be the largest economy in the Southeast Asian region and one of the G20 member countries. The Indonesian banking topography is diverse and attractive for exploration, with 115 commercial banks employed in the modelling. The outcomes of this research will be useful for academics in order to improve the estimation of models and provide policy makers with tools to improve supervisory activities.
Our research methodology is built on three widely cited models, namely, conditional value at risk (CoVaR; Adrian and Brunnermeier 2016), marginal expected shortfall (MES; Acharya et al. 2012), and systemic risk measure (SRISK; Brownlees and Engle 2017). The empirical evidence identified by each model is then compared with the Basel SIB list as benchmark. The study employs two different data sources: market or publicly available data and the balance sheet or prudential supervisory data submitted by the banks to the regulator. The observations use Indonesian commercial banks’ market and balance sheet data reported to the regulator during the period of 2008–2019.
The results suggest that regarding SIB ranking stability, SRISK outperforms CoVaR and MES over the sample period. Regarding intermodel correlation, CoVaR and MES have higher positive correlation that is converted to around 58% similarity in rankings. In addition, all three theoretical approaches have positive Kendall’s tau, where the highest association with Basel is counted at 47%. The number indicates that the scholar theoretical models’ SIB list would be similar to some extent to that of policy makers, where the Basel methodology is employed.

2. Literature Review

2.1. Theoretical Approaches on Systemically Important Banks

Studies on systemic risk encompass many aspects, and its immense dimension reflects on the definition stated by the regulator. Policy makers’ definition of systemic risk commonly does not explicitly point out specific variables as trigger, with examples such as FSB et al. (2009) defining systemic risk as a risk of disruption to financial services that causes an impairment of all or parts of the financial system and has the potential to have serious negative consequences on the real economy. ECB (2009) defines systemic risk as the risk of financial instability that impairs the functioning of a financial system where economic growth and welfare suffer significantly. Bank Indonesia (2014), as the macroprudential regulator of Indonesia, defines systemic risk as the potential for instability of a financial system as a result of exaggerated procyclical actions taken by financial institutions. The absence of specific factors in the definition of systemic risk implicitly shows the complexities of identifying, measuring, and mitigating risk itself.
The existing definition of systemic risk is mostly related to the research scope of work, data used, and methods. An example of such papers is that of De Bandt and Hartmann (2000), who define systemic risk as a systemic event that affects a considerable number of financial institutions or markets in a strong sense, thereby severely impairing the general functioning of the financial system. Others define systemic risk as arising from implications of imbalances (Caballero 2010) and correlated exposures (Acharya et al. 2017) to any set of circumstances that threatens the stability of public confidence in the financial system (Billio et al. 2012). Shortly, various indicators should simultaneously be considered by regulators and researchers to assess the complexity of systemic risk (Bengtsson et al. 2013).
Based on some studies, research studies on SIBs and systemic risk are classified according to statistical measures, methodologies, variables, and financial institution network interactions. Bisias et al. (2012) summarized research based on the supervisory scope, research methodology, and data perspectives in the main text and presented concise definitions of each risk measurement to include required inputs, expected outputs, and data requirements. They classified systemic risk research into five major categories: The first is probability distribution. An example under this is multivariate density function used by Segoviano and Goodhart (2009). Adrian and Brunnermeier (2016) proposed CoVaR to calculate the VaR of banks and its risk effect on other banks when the financial system is under stress. Others such Acharya et al. (2012, 2017) were calculated using marginal and systemic expected shortfall with the purpose of measuring financial institutions’ expected losses when the market falls below some predefined threshold over a given time horizon. Second, contingent claims and default and liquidity measure the likelihood of default of each institution and their link to the financial system through joint distribution. Example papers under this category are those of Jobst and Gray (2013) and Jobst (2014). Third, the network analysis method measures the connectedness between banks and failure’s impact on other banks and the financial system. Examples under this category are the papers of Allen and Gale (2000), Eisenberg and Noe (2001), Gai and Kapadia (2010), Gai et al. (2011), Krause and Giansante (2012), and Elsinger et al. (2006a, 2006b). Others, such as the paper of Brownlees and Engle (2017), introduced systemic risk measure (SRISK) to capture the expected capital shortage of a firm given its degree of leverage and marginal expected shortfall (MES) as the expected loss that an equity investor in a financial firm would experience if the overall market declines substantially. There are also alternatives using extreme value theory (EVT) to investigate contagion risk, such as the papers of Rocco (2014), Dias (2014), and Akhter and Daly (2017). Moreover, for comparison among models, Benoit et al. (2011) tried to compare the theoretical systemic risk measures, and others, such as Brämer and Gischer (2013), identified the domestic systemically important banks (D-SIBs) in the Australian context using a modified Basel-indicator-based guideline.
In contrast, despite Indonesia’s economic size and number of banking institutions, only a few studies have found Indonesia’s banking systemic risk. Some of the papers are those of Ayomi and Hermanto (2013), who applied the Merton model to identify the probability of default in over 30 banks in Indonesia during the period of 2002–2013; Fadhlan (2015), who used Granger causality analysis to investigate 37 listed banks in the Indonesia Stock Exchange; Muharam and Erwin (2017), who estimated the conditional value at risk (CoVaR) of the 9 biggest banks in Indonesia through quantile regression; Zebua (2011), who investigated Indonesian systemic risk using CAMELS ratios and the CoVaR concept of Adrian and Brunnermeier (2016), and Wibowo (2017) who used the Merton distance to default to measure the systemic risk.
Although efforts have been put by scholars on studying systemic risk, no paper directly compares the theoretical models’ results with Basel as benchmark to list SIBs or systemically important financial institutions (SIFIs) and the correlation among the outcomes. This absence could be postulated on the data sources to perform calculation, determine research scope, and identify technical issues to source both market and prudential data. This paper aims to bridge the gap by employing CoVaR (Adrian and Brunnermeier 2016), MES (Acharya et al. 2012), and SRISK (Brownlees and Engle 2017) with Basel (BCBS 2018). The results will be useful to see how close the scholars’ result is to predict the SIBs where market data are used with the policy makers’ outcome using prudential microdata.

2.2. Standards Guideline

The Basel Committee on Banking Supervision, for the first time in 2011, issued the standard for the regulator’s assessment of global systemically important banks (BCBS 2011).1 The rationale for adopting additional policy measures for G-SIBs is based on the “negative externalities” (i.e., bankruptcies, unemployment, economic crises, output losses) created by SIBs that current regulatory policies do not adequately address (BCBS 2012). Although BCBS admitted that the indicators do not measure precisely specific attributes of SIBs, the proxies are designed to identify the central aspect of SIB status, and Basel claims that it is more robust than the currently available model-based measurement approaches and methodologies that rely on only a small set of indicators or market variables (BCBS 2018). The Basel G-SIB guideline framework categorizes bank activities into five main groups, which in total consist of 13 indicators. The newest updated standard, among others, introduces a trading volume indicator, a modification of weights in the substitutability category, and an extension of the scope of consolidation to insurance subsidiaries (BCBS 2018). To bring the G-SIB context to the country-level jurisdiction, BIS allows the local authority to make a discretionary adjustment of the principles for the purpose of capturing the country’s banking characteristics and the negative externalities of the local economy (BCBS 2012).
Cascading down to the country level, Indonesian banking, where we apply estimation models and gather datasets, is divided into two mainstreams, which are commercial banks and rural banks. As of December 2018, there are 115 commercial banks and 1760 rural banks, where both numbers reflect the sums of the country’s conventional and sharia banks. Commercial banks are the key players in the Indonesian banking system, accounting for more than 98% market share in terms of total assets, sources of funds, and distributed fund. The Indonesian banking topography is mainly concentrated on the 30 biggest commercial banks. The main players hold more than 88% of the total country banking assets, third-party funds, and loans disbursed. For our research purposes, we analyzed all of the commercial banks listed with the Indonesia Stock Exchange for the theoretical model since the assumption and variables are available as market data. On the other hand, for the Basel methodology we analyzed all commercial banks in Indonesia (listed and not listed) using bank data reported to the banking regulator.
In the context of our research, we constructed SIB preliminary assessment based on the Basel guideline and adjusted it accordingly using bank balance sheet data submitted by the banks to Indonesia’s Financial Services Authority (OJK). OJK, as Indonesia’s banking regulator, issued POJK No. 2/POJK.03/2018, which serves as the guideline for SIB supervision and capital surcharge absorbency to safeguard the negative externalities of SIBs.

3. Data and Methodology

3.1. Source of Data

We grouped two separate datasets of samples for CoVaR, MES, and SRISK to cover all of the commercial banks listed with the Indonesia Stock Exchange in the period of 2008–2019. For the model calculation, the number of samples was 33 banks, which was then reduced to 27 banks after discarding some because of incomplete data or inactive trading. We sourced the market data on Indonesian banks from the Eikon Thomson Reuters databases.
On the other hand, for the Basel framework calculation, the micro or balance sheet data were sourced from monthly reports submitted to OJK. The sample covers all the 115–120 Indonesian commercial banks. The number of banks varies over time because of mergers and acquisition during the observation window. To test the theoretical approaches’ results, we compared them with the Basel outcome as benchmark. The comparison was made for 2015–2018, where the observation windows were assessed twice a year in June and December. The chosen time frame is in line with the Indonesian SIB regulations issued by OJK (OJK 2015), and it is also more current and improves the information made available to the regulator.

3.2. Model Estimation

The theoretical approaches for estimating and analyzing the network model use Adrian and Brunnermeier (2016):
  • Conditional Value at Risk (CoVaR)
VaR is the most that the bank loses with a confidence level of 1 − α; the parameter of α is 1% or 5%, Pr(R < −VaRα) = α.
CoVaR corresponds to the VaR of the market return conditions for certain events C ( R t i ) of firms i.
P r ( R m t C o V a R t m | r i t   |   C r i t ) = α
X t i = α q i + γ q i M t 1 + ε q , t i
X t s y s l i = a q s y s | i + γ q s y s I i M t 1 + β q s y s | i x t i + ε q , t s y s | i
predict   the   value   of   the   regression   to   obtain
V a R q , t i = α q i + γ q i M t 1
C o V a R q , t s y s l i = a q s y s | i + γ q s y s I i M t 1 + β q s y s | i x t i . V a R q , t i
CoVaR is the difference of the financial system’s VaR condition of firm i during financial distress and the financial system’s VaR when firm i is in median state. CoVaR represents the systemic risk contribution of firm i to the financial system.
Δ C o V a R q , t i = C o V a R q , t i + C o V a R 50 , t i
2.
Marginal Expected Shortfall (MES)
This model was proposed by Acharya et al. (2012), who used two standards to measure firm-level risk: value at risk (VaR) and expected shortfall (ES). VaR is the most that the bank loses with a confidence level of 1 − α; the parameter of α is 1% or 5%.
Pr(R < −VaRα) = α
The ES is the expected loss conditional on the loss, which is greater than the VaR or the average of returns on days when the portfolio’s loss exceeds its VaR limit.
ESα = −E[R/R ≤ −VaRα]
Acharya et al. (2017) focused on ES rather than VaR since it is not robust in the sense that a negative payoff below a threshold of 1% or 5% is not captured, and the sum of two portfolio VaRs could be higher than the sum of individual VaRs.
Further, to calculate the contribution of bankwide losses to groups or the trading desk contribution, the next step is to decompose the bank return R into the sum of each group’s return r i , that is,
R = ∑i = yi ri
where y i is the weight of group i in the total portfolio. Then,
ES = −∑i yi E(ri|R ≤ −VaR)
The sensitivity of the overall risk to exposure y i to each group i
δ E S a δ y i = E ( r i | R     V a R )     M E S a i
where M E S i is group i’s losses or marginal expected shortfall when the firm as a whole is doing poorly.
3.
Systemic Risk Measure (SRISK)
Following the study of Acharya et al. (2012), Brownlees and Engle (2017) develop the risk contribution of a financial firm to the systemic risk as a function of its size, leverage, and risk. Using the balance sheet and market data, they calculate the expected capital shortfall over a longer period of market decline called long-run marginal expected shortfall (LRMES). SRISK is counted to take into account not only the equity volatility, return distribution, and correlation but also the size and leverage level of the firms. The systemically important financial institutions are ranked according to the highest SRISK, and the total is the undercapitalization of the whole financial system.
SRISKi,t = Et−1 (Capital shortfalli|Crisis)
The estimation of capital shortfall uses bivariate daily equity returns of firms and the market index, where volatilities follow asymmetric GARCH and DCC correlation processes. To simulate the crisis, the market index is assumed to fall by 40% over a 6-month projection, and volatilities and correlation change over time in order to calculate the tail dependence.
CSi,t = kAi,tWi,t
CSi,t = k(Di,t + Wi,t) − Wi,t
where
  • Wi,t = market value of equity;
  • Di,t = book value of debt;
  • Ai,t = book value of assets;
  • k = prudential capital fraction, which is set to 8%.
Based on the formula, when the capital shortfall is negative, the firms have a positive or surplus working capital and can operate normally, but when the capital shortfall is positive, the firms are under distress. The firm capital shortfall causes negative externalities only if it occurs when the whole system is already under distress, the multiperiod market return of the periods t + 1 and t + h is Rmt+1:t+h, and the systemic event is reported when Rmt+1:t+h < C, where C is the market decline threshold.
SRISKi,t = Et (CSit+h|Rmt+1:t+h < C)
           = k Et (Di,t+h|Rmt+1:t+h < C) − (1 − k)Et(Wit+h|Rmt+1:t+h < C)
A further assumption made by Brownlees and Engle (2017) is that debtors are unable to renegotiate their debts during the crisis:
SRISKi,t = kDit − (1 − k) Wit (1 − LRMES)
= Wi,t [kLVGit + (1 − k) LRMESit − 1]
where LVG = leverage ratio (Dit + Wit)/Wit;
LRMES = average of firm equity returns approximated as 1 − exp (−18 × MES) to represent the expected loss over a 6-month period conditional on 40% of market fall.
The contribution or systemic share of firm i SRISK is calculated as:
S R I S K % i , t = S R I S K i , t S j Î J   S R I S K j , t
where J = firms with positive SRISK.
4.
Basel-Indicator-Based Approach
The BCBS (2018) indicator-based approach values the institution size, interconnectedness, substitutability, global cross-jurisdictional activity, and complexity. Basel allows departure from the guideline asserted by BCBS (2012) with the purpose of better capturing specific domestic systemically important bank (D-SIB) characters and country externalities. For our dataset, we adjusted the formula composition and rearranged the indicators following OJK (2018). The SIB assessment indicators after country adjustment shown in Table 1, hence, are as follows:
To get the score value for a given indicator, we followed BCBS (2014), where the bank’s value is divided by the total of the banking system, where the results are conveyed in basis points (bps).
B a n k   i n d i c a t o r S a m p l e   t o t a l   ×   10,000 =   I n d i c a t o r   s c o r e   ( b p s )
In order for us to get the scores for all three categories, the scores for the indicators under each category are averaged. As a sample, the interconnectedness score is the average of intrafinancial assets, intrafinancial liabilities, and securities outstanding.

4. Results

To validate the data’s integrity and calculation, data were grouped into several Excel worksheets: share price, market capitalization, total assets, total equity, state variables, and sample groups. Share prices, market capitalization, and state variables (7D repo rate, T-bill delta, credit spread, liquidity spread, yield spread, JSX LQ45 excess return, JSX financial sector excess return, and JSX VIX) were provided on a daily basis. Others, such as total assets and total equity, were on a quarterly basis. The datasets presented in Table 2 were 27 actively traded banks listed with the Jakarta Stock Exchange (JSX) during the period of 2008–2019. We classified the banks following OJK (2016a), where the regulation grouped commercial banks into four classes of BUKU based on the core capital. The classes determined allowed a business network and activities, where the most complex bank activities were licensed for banks under the BUKU 4 category, while BUKU 1 banks were only permitted to offer basic banking services. The sample banks for the theoretical approaches are in the table below:
In total, there were 2971 daily observations for each variable range from 2008 to 2019. However, there were some missing data for a 3-month T-bill, and to counter this, we used Stata multiple imputations with 669 verified results before going forward to the next step for model estimation using Matlab R2019b coding developed by Belluzzo (2020). Table 3 shows statistical summary of the results is as follows:
Figure 1 plotting the systemic averages across three estimated models in the line graph, the VaR averages were higher than the MES, CoVaR, and SRISK results. This reflects the amount of bank capital shortfall that should be injected to mitigate bank failure and trigger systemic risk. However, using VaR is misleading in the sense that a negative payoff below the threshold is not captured (Acharya et al. 2017). The different outcomes become a dilemma for policy makers since they determine the magnitude of higher loss absorbency requirement as required by Basel through the bucket approach (BCBS 2018).

4.1. CoVaR

A CoVaR systemic risk measure was introduced by Adrian and Brunnermeier (2016) rooted in the value at risk (VaR) concept stemming from the study of Jorion (2007), which measures the most investors can lose over a certain investment horizon. CoVaR measures individual bank contribution to the whole financial system’s systemic risk. CoVaR also puts into account the financial distress that seems relevant during the financial crisis compared with the Basel normal standard scenario. Based on model calculation as shown in Table 4, CoVaR SIB rankings over the sample window time are mostly dominated by big Indonesian banks classified as tier 4 commercial banks (BUKU 4) with a total equity of more than Rp 30 trillion and tier 3 commercial banks (BUKU 3) with a total equity in the range of Rp 5–30 trillion. For example, BBCA is one of the most systemic banks in the Indonesian banking system, which contributed 19.75%–20.55% in the last 3 years. The almost nonexistence of small and medium banks in the SIB list could give a false alarm to the bank supervisor. Network model proponents, such as Allen and Gale (2000), Gai et al. (2011), provide evidence of interbank placement creating a web of networks vital for a systemic risk study, which could also stem from nonbig banks. In terms of CoVaR outcome similarity to Basel, the highest is at 0.33 in 2015–2016.

4.2. Marginal Expected Shortfall (MES)

Using the model proposed by Acharya et al. (2017) with a confidence level of 95%, bank rankings based on their systemic contribution are shown in the Table 5.
The scenario of the MES base model originates from when crises hit the shareholders, who experience decline in their asset returns and market value of equity. To resemble the crisis scenario, the assumption made follows what was used by Acharya et al. (2017), where the index fell more than 40% over the next 6 months calculated as long-run marginal expected shortfall (LRMES). The MES model in application could supplement the bank regulator for the Basel required capital surcharge.
The MES model results in Table 5 shortlisted more banks in the list than CoVaR. It also noticeably shortlisted unstable bank rankings compared with CoVaR over the same sample window time. Using the MES framework, in the 2008 financial crisis the most systemic bank in Indonesia was BBRI with a 16.51% systemic risk contribution. Although BBRI’s systemic share contribution has been volatile over time, it is still one of the country’s SIBs. The ranking volatility is one of the MES model’s disadvantages compared with other theoretical models. The bank supervisor will have difficulty imposing the systemic capital charge since the capital shortage injection by the shareholders usually takes time to approve.
Additionally, the appearance of few relatively small banks or tier 2 commercial banks (BUKU 2), such as BVIC and AGRO, reflects the vulnerability of undercapitalization in case of crisis, and the possible capital injection will be done by the controlling shareholders. Further, for ranking correlation with Basel, the best approximation was in 2015 with 0.47.

4.2.1. Systemic Risk Measure (SRISK)

Brownlees and Engle (2017) offered the SRISK concept to measure systemic risk by combining the market and balance sheet data. The mixture of data used in the model balance of what Basel offers depends only on micro or bank data. SRISK integrates and complements other systemic estimation models by using bank size and degree of leverage. The total aggregate SRISK resembles the total amount of capital in relation to party or government need to rise from the financial crisis. SRISK = 0 means that the firms do not need to be injected with capital in case financial distress hits the economy based on severity assumptions, and negative SRISK shows that the firms have excess capital to counter and sustain during crisis. Table 6 exhibit SRISK estimation results are as follows:
The results exhibit the most stable ranking list compared with CoVaR and MES over the sampling period. The systemic share contribution also arguably concentrated on four banks with exception in 2015, where it was distributed to eight banks. Remember that SRISK = 0 means that the banks have enough capital even during crisis, where there is 40% market decline and the prudential capital regulation (CAR) is assumed to be 8%. The SRISK model is based on a correlation test that could predict up to 33% of Basel rankings in 2018. These results also show that Indonesian banks, based on the SRISK model, are mostly in a sound state with zero SRISK even in the face of financial distress. This could also be because of OJK conservatism as the banks’ regulatory institutions in Indonesia required banks to have 8%–11% minimum CAR depending on their risk profiles. OJK (2016b) also mandated all commercial banks in Indonesia to provide 2.5% capital conservation buffer plus 0%–2.5% countercyclical buffer, and banks in the D-SIB list have another mandatory extra 1%–2.5% capital surcharge.
To step further, we tested the ranking stability and similarity among CoVaR, MES, and SRISK using Kendall’s tau. Kendall’s value of agreement when W = 1 indicates high agreement, and when W = 0, the opposite is true. The results are in line with and confirm our findings where the ranking stability, from most to least stable, is as follows: SRISK with 0.9674, CoVaR with 0.8045, and MES with 0.7983. Ranking stability is the key point used by the regulator to measure the SIB magnitude in the whole system. It is also a basis for requiring capital surcharge buffer as required by Basel (BCBS 2018).
Figure 2 plotting and exploring the model and variables in a ranking concordance matrix gives us a more detailed insight into where the highest agreement is, which is in MES and Beta with 0.65, followed by ΔCoVaR and CoVaR with 0.64. The findings point out that if we use simple Beta to rank the SIBs, then around 65% of the banks appearing in the list will be the same with MES. For intermodel ranking similarity, all models have a positive correlation with the highest being that of CoVaR –MES with 0.59, followed by SRISK–MES with 0.50, and SRISK–CoVaR with 0.46.

4.2.2. Basel-Indicator-Based Approach

To contrast the Basel SIBs with the theoretical approaches applied by scholars, we tested the correlation at four check points in 2015–2018. Considering the confidential data submitted to the regulator, we coded the firms using certain IDs but kept them traceable in order to make a comparison with the results of the theoretical approaches, CoVaR, MES, and SRISK. Results for the Basel-indicator-based approach shown in Table 7 are as follows:
Using Kendall’s tau nonparametric correlation test, it can be seen in Table 8 that the correlation of theoretical approaches with the Basel-indicator-based approach is positive at three out of four check points. However, the association number is quite low, ranging from 0 to 0.47. This number represents instances when academicians use a theoretical model to shortlist SIBs, whose results are similar to what policy makers have on their desks to a certain extent. The strongest association with a Basel ranking list was observed in 2015 using MES at 0.47. Further, Kendall’s correlation was highest at 0.33 in 2016 when using CoVaR and in 2018 when using SRISK. The results also indicate that policy makers could use the theoretical models to validate the Basel-indicator-based ranking to improve the supervision framework.
To validate Kendall’s tau, we ran a robustness test using Spearman rho correlation in Stata, and the outputs are in line with numbers that tend to be higher when we use Spearman rho. The strength and direction of the ranked banks were highest in 2015 when the scholars used MES at 0.60, followed by CoVaR at 0.40. SRISK ranking in the same year was contrary to the Basel shortlist at −1.00. In 2016, CoVaR was closest to Basel at 0.40, while in 2018 it was SRISK at 0.50 (see Appendix A).

4.2.3. Strengths and Weaknesses

The Basel-indicator-based guideline puts emphasis on the size of the institution magnitude in proportion to the whole industry. For instance, the interconnectedness subindicators reflect a bank share of interbank assets and liabilities in the system rather than pointing out how the distress of one institution is contagious to the others through interbank placement transactions. The logical thinking of the Basel methodology is daunting, whether researchers could simply shortlist banks and rank them simply utilizing the numbers in the published financial statements. The secrecy of prudential data is also a major handicap for scholars in exploring and giving inputs to improve the methodology. However, the Basel indicator approach is simple to use once all the supervisory data are collected and comparable among country jurisdictions.
On the other hand, theoretical models have a limited choice of publicly available data. Most models use market data, such as stock price, index, and global institution data (e.g., total assets, total equity, total debt). Market efficiency and transparency are also different among countries, and the stock price is a random walk where sometimes not all information is converted to the correct share price. Interconnectedness among financial institutions is also based on simple assumptions and not direct as the implication of global data used in the methodology. This condition could cause interference and make the models’ results biased. However, accessible public data could make many contribute to a discussion to come up with a better model and improve the results.
The current disruption caused by COVID-19 is also relevant to the systemic risk study, which is not covered in this paper’s data window. The pandemic not only causes problems in the health system but also poses threats to many countries’ economy and financial stability because of the spillover effect (Huang et al. 2009; Rizwan et al. 2020). Early responses show that policy makers are making policy mix intervention through both micro- and macroprudential regulations to contain the risks.

5. Conclusions and Policy Recommendation

This paper investigates how three widely cited theoretical approaches of estimation could mimic the Basel prudential methodology used by the regulator to shortlist SIBs. Using the Indonesian banking data over the period of 2008–2019, we ran CoVaR (Adrian and Brunnermeier 2016), MES (Acharya et al. 2012), and SRISK (Brownlees and Engle (2017) to shortlist Indonesian SIBs and compared them with the prudential Basel ranking list. The findings show that each theoretical model used by scholars displays specific characteristics and advantages for policy makers. CoVaR results could mislead the bank supervisor because it counts more based on bank size factor, where some studies, such as those of Allen and Gale (2000), Gai et al. (2011) proved that it is not always the case. On the other hand, MES shows more banks in the list under a certain constant scenario that might not be true over the forecast time.
In terms of SIB ranking stability, SRISK outperforms CoVaR and MES in an orderly manner. All three theoretical approaches have positive Kendall’s association with Basel as benchmark, where the in-line results recorded vary at 0–0.47. In other words, the scholar model’s SIB ranking result is similar to the Basel guideline outcome used by the bank supervisor by up to 47%. The results are also in line with the Spearman rho correlation in the robustness test. Policy makers can also use theoretical models to validate the Basel result in order to improve their monitoring tools’ framework.

Author Contributions

Conceptualization, M.Z.S. and K.D.; methodology, M.Z.S.; software, M.Z.S.; validation, M.Z.S.; formal analysis, M.Z.S. and K.D.; resources, M.Z.S. and K.D.; data curation, M.Z.S.; supervision, K.D.; writing-original draft, M.Z.S.; writing-review & editing, M.Z.S. and K.D.; project administration, M.Z.S. and K.D.; funding acquisition, M.Z.S. and K.D. All authors have read and agreed to the published version of the manuscript.

Funding

M.Z.S. acknowledges support from Australia government as the sponsor of Australia Awards scholarship ID No. 17/1126.

Institutional Review Board Statement

Not applicable.

Informed Consent Statement

Not applicable.

Data Availability Statement

Market data is from Eikon Thomson Reuters and prudential balance sheet data is from Indonesia Financial Services Authority.

Acknowledgments

This paper presents the authors’ views and will not be thought of as those of Indonesia’s Financial Services Authority. We would like to thank Qiongbing Wu (Western Sydney University) for the valuable discussion during the writing of this paper.

Conflicts of Interest

The authors declare no conflict of interest.

Appendix A. Robustness Test

1. 
Impute 3-month T-bill data
. summ
VariableObsMeanStd. Dev.MinMax
Date297119,749.431269.31317,533 21913
MOLIBOR29711.0246510.95362910.222854.81875
MOTBILL23026.0843131.4740083.72111.55471
YRTBOND29718.1888542.0289285.04720.955
INDOJIBON29715.6089551.3734783.2086111.97222
JIBOR1W29715.9446261.3498113.804410.50028
JIBOR1MO29716.5904631.4432733.971611.79167
JIBOR3MO29716.9861211.4700884.1912.59722
JIBOR6MO29717.2914131.5031864.419613.44444
JIBOR12MO29717.539491.5304144.8214.25
. mi misstable summarize, all
Obs<.
VariableObs=.Obs>.Obs<.Unique
Values
MinMax
Date 2971>50017,53321,913
MOLIBOR 2971>50022,2854.8187
MOTBILL669 2302>5003.72111.5547
YRTBOND 2971>500504720.955
INDOJIBON 2971>5003.208611.9722
JIBOR1W 2971>5003.804410.5002
JIBOR1MO 2971>5003.971611.7916
JIBOR3MO 2971>5004.1912.5972
JIBOR6MO 2971>5004.419613.4444
JIBOR12MO 2971>5004.8214.25
. mi impute regress MOTBILL JIBOR1W JIBOR1MO JIBOR3MO JIBOR6MO, add(660) rseed(1234)
Univariate imputationImputations =660
Linear regressionadded =660
Imputed: m = 1 through m = 660updated =0
VariableObservations per m
CompleteIncompleteImputedTotal
MOTBILL23026696692971
(Complete + incomplete = total; imputed is the minimum across m of the number of filled-in observations).
2. 
Basel-indicator-based approach
Illustration—interconnectedness (securities outstanding)
Jrfm 14 00295 i001
Bank A’s securities outstanding score is the result of each component compared with the whole banking system in the country:
Secured debt (2000) + Senior unsecured (4000) + Subordinated (1000) + Equity market cap (2500)/Total in banking wide (127,500) = 745
Domestic Indicators
Jrfm 14 00295 i002
Jrfm 14 00295 i003
Systemic Score
BankSizeInterconnectednessComplexityTotal
Systemic
Score
33.3%33.3%33.3%
A17329377051125
B1030341273548
…..…..…..…..…..
…..…..…..…..…..
Z217532398
Total system10,00010,00010,00010,000
Bank A final systemic score is derived from:
Size (1732 × 33.3%) + interconnectedness (937 × 33.3%) + complexity (705 × 33.3%) = 1125
3. 
Spearman rho correlation
CoVaR15CoVaR16CoVaR17CoVaR18Mes15Mes16Mes17Mes18Srisk15Srisk16Srisk17Srisk18Bsl15Bsl16Bsl17Bsl18
CoVaR151.0000
CoVaR16−0.08571.0000
CoVaR170.7714−0.20001.0000
CoVaR180.82860.08570.94291.0000
Mes15−1.0000−1.0000−0.8000−0.80001.0000
Mes16−0.6000−0.7000−0.2000−0.60000.40001.0000
Mes17−0.8000−0.8000−0.6000−0.6000−0.10000.80001.0000
Mes18−0.5000−0.5000−0.60000.50000.70000.65710.50001.0000
Srisk15−1.0000−1.00000.5000−1.00000.00000.80001.00001.00001.0000
Srisk160.00000.00000.00000.00000.00000.50001.00000.5000−0.40001.0000
Srisk170.00000.00000.00000.00000.0000−1.0000−1.0000−1.0000−1.0000−1.0001.0000
Srisk180.00000.00000.00000.00000.00001.00001.00001.0000−0.20000.8000−1.00001.0000
Bsl150.40000.40000.00000.00000.6000−0.8000−0.37140.5000−1.00001.00000.00001.00001.0000
Bsl160.40000.40000.00000.00000.6000−0.7000−0.90000.02860.5000−0.50000.00000.50000.98331.0000
Bsl170.40000.40000.00000.00000.6000−0.7000−0.90000.25710.5000−0.50000.00000.50000.95000.95151.0000
Bsl180.40000.40000.00000.00000.6000−0.7000−0.90000.25710.5000−0.50000.00000.50000.95000.95151.00001.0000

Note

1
The Basel Committee on Banking Supervision agreed to review the framework every 3 years. As a result, the standard was revised in July 2013, and the latest update was issued in July 2018.

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Figure 1. Systemic risk averages.
Figure 1. Systemic risk averages.
Jrfm 14 00295 g001
Figure 2. Kendall’s W rankings.
Figure 2. Kendall’s W rankings.
Jrfm 14 00295 g002
Table 1. Basel Adjusted Indicators.
Table 1. Basel Adjusted Indicators.
Category and WeightingBCBS
G-SIB
Indicator WeightingCategory
Weighting
Adjusted Indicators
D-SIB
Indicator Weighting
Size (20%)Total exposures20%Size (33.3%)Total exposures100%
Interconnectedness (20%)Intrafinancial system assets6.67%Interconnectedness (33.3%)Intrafinancial system assets33.3%
Intrafinancial system liabilities6.67%Intrafinancial system liabilities33.3%
Securities outstanding6.67%Securities outstanding33.3%
Complexity (20%)Notional amount of over-the-counter (OTC) derivatives6.67%Complexity (33.3%)Notional amount of over-the-counter (OTC) derivatives25%
Level 3 assets6.67%Trading and available-for-sale securities25%
Trading and available-for-sale securities6.67%Domestic indicators25%
Substitutability (payment system and custodian)25%
Substitutability
(20%)
Assets under custody6.67%
Payment activity6.67%
Underwritten transactions in debt and equity markets3.33%
Trading volume3.33%
Cross-jurisdictional activity (20%)Cross-jurisdictional claims10%
Cross-jurisdictional liabilities10%
Table 2. Sample banks.
Table 2. Sample banks.
No.TICKERBANKBUKU
1BBCAPT. Bank Central Asia Tbk.4
2BBRIPT. Bank Rakyat Indonesia (Persero) Tbk.4
3BMRIPT. Bank Mandiri (Persero) Tbk.4
4BBNIPT. Bank Negara Indonesia (Persero) Tbk.4
5MEGAPT. Bank Mega Tbk.3
6MAYAPT. Bank Mayapada Internasional Tbk.3
7BNLIPT. Bank Permata Tbk.3
8BDMNPT. Bank Danamon Indonesia Tbk.3
9PNBNPT. Bank Pan Indonesia Tbk.3
10NISPPT. Bank OCBC NISP Tbk.3
11BNGAPT. Bank CIMB Niaga Tbk.4
12BTPNPT. Bank BTPN Tbk.3
13BNIIPT. Bank Maybank Indonesia Tbk.3
14BJBRPT. Bank Pembangunan Daerah Jawa Barat Tbk.3
15BBTNPT. Bank Tabungan Negara (Persero) Tbk.3
16BSIMPT. Bank Sinarmas Tbk.2
17BJTMPT. Bank Pembangunan Daerah Jawa Timur Tbk.3
18SDRAPT. Bank Woori Saudara Indonesia Tbk.2
19BACAPT. Bank Capital Indonesia Tbk.2
20AGROPT. BRI Agroniaga Tbk.2
21CCBIPT. Bank China Construction Indonesia Tbk.2
22BBKPPT. Bank Bukopin Tbk.3
23BABPPT. Bank MNC Internasional Tbk.2
24BKSWPT. Bank QNB Indonesia Tbk.2
25INPCPT. Bank Artha Graha Internasional Tbk.2
26BNBAPT. Bank Bumi Arta Tbk.2
27BVICPT. Bank Victoria Internasional Tbk.2
Table 3. Descriptive statistics of systemic risk.
Table 3. Descriptive statistics of systemic risk.
StatsBetaVaRESCoVaRΔCoVaRMESSRISK
mean1.1298543.45 × 1078.06 × 1077,689,775948.84522.67 × 107459,073.1
max1.687717.60 × 1072.33 × 1086.73 × 1072200.0846.82 × 1072,894,598
min0.42213941.18 × 1072.51 × 107−195,820260.89467,327,3410
sd0.19318841.24 × 1072.65 × 1077,948,986409.06131.10 × 107585,642.8
variance0.03732171.54 × 10147.04 × 10146.32 × 1013167,331.21.20 × 10143.43 × 1011
se(mean)0.0035461227,512.5486,926.4145,908.27.508557201,388.510,749.81
cv0.17098530.35948990.32904851.0337090.43111490.41148641.275707
skewness−0.65438760.58952520.26602782.2605260.58945640.50570551.402021
Table 4. CoVaR.
Table 4. CoVaR.
Banks200820092010201120122013
% to sysRank% to sysRank% to sysRank% to sysRank% to sysRank% to sysRank
BCA30.0%225.4%126.6%121.7%230.9%125.1%1
BRI15.8%39.0%49.7%410.1%56.4%610.7%3
BMRI30.9%117.0%219.7%222.4%116.9%222.5%2
BNI6.1%49.2%38.5%510.2%48.1%48.7%4
MEGA1.1% 8.0%51.8% 2.0% 2.1% 1.7%
BDMN1.5% 1.6% 2.0% 1.7% 1.4% 2.1%
PNBN0.9% 1.2% 1.0% 1.5% 1.1% 1.1%
BJBR3.5% 5.7%610.5%310.3%311.4%37.3%5
BTN0.0% 1.2% 3.0% 2.2% 2.3% 3.1%
BSIM0.4% 0.6% 5.0%63.2% 1.2% 0.8%
BJTM0.1% 0.1% 0.1% 0.2% 7.1%56.2%6
SDRA1.4% 2.9% 2.1% 2.9% 2.4% 2.3%
BACA2.1% 3.6% 3.5% 4.1% 2.6% 2.5%
AGRO0.2% 1.1% 0.5% 0.5% 0.5% 0.6%
CCBI1.5% 4.4% 0.7% 0.4% 0.3% 0.7%
BBKP1.7% 2.2% 2.1% 3.2% 2.0% 2.2%
MNC1.2% 4.3% 1.7% 2.1% 1.8% 1.0%
Others—10 banks1.5% 2.5% 1.3% 1.3% 1.3% 1.5%
Banks201420152016201720182019
% to sysRank% to sysRank% to sysRank% to sysRank% to sysRank% to sysRank
BCA19.0%224.7%114.9%320.1%120.6%119.7%1
BRI9.9%411.3%37.0%59.3%57.9%57.5%5
BMRI19.4%120.9%214.0%416.9%218.9%215.2%3
BNI11.4%38.6%56.7%610.5%310.2%49.6%4
MEGA2.2% 1.6% 1.3% 3.2% 2.4% 1.9%
BDMN2.0% 1.9% 1.3% 3.7% 1.8% 1.8%
PNBN1.4% 1.1% 0.9% 1.3% 1.6% 1.4%
BJBR9.7%58.9%423.5%19.4%411.9%316.9%2
BTN2.9% 1.4% 2.6% 2.2% 3.2% 2.5%
BSIM1.5% 1.4% 0.8% 5.0% 2.5% 2.6%
BJTM7.9%66.3%617.2%26.5%67.0%66.0%6
SDRA2.8% 2.2% 1.7% 2.6% 3.3% 5.7%7
BACA3.4% 3.2% 1.9% 2.8% 3.4% 2.5%
BBKP2.3% 1.8% 2.3% 2.6% 2.5% 2.7%
MNC1.3% 1.2% 1.1% 1.0% 0.8% 0.8%
Others—12 banks2.9% 3.5% 2.6% 2.8% 2.2% 3.1%
Table 5. Marginal expected shortfall (MES).
Table 5. Marginal expected shortfall (MES).
Banks200820092010201120122013
% to sysRank% to sysRank% to sysRank% to sysRank% to sysRank% to sysRank
BCA10.77%38.00%47.12%55.29%89.79%16.77%6
BRI16.51%16.99%68.00%26.52%65.62%78.45%2
BMRI15.55%27.50%58.33%17.06%57.76%37.75%3
BNI9.88%413.02%16.89%610.18%11.20% 10.51%1
BDMN6.67%66.77%77.75%34.56% 6.50%56.93%4
PNBN8.37%56.60%96.74%78.01%29.74%26.91%5
BTPN1.20% 5.10%113.31% 5.77%74.05% 4.23%
Maybank1.38% 5.01%123.61% 4.16% 3.34% 2.56%
BJBR0.64% 0.95% 6.42%84.99% 5.80%63.14%
BTN0.09% 2.92% 7.63%44.65% 4.28% 5.77%7
BSIM0.19% 0.28% −0.45% 7.63%32.57% 0.71%
SDRA4.41% 5.81%104.56% 5.28%93.80% 3.89%
AGRO2.83% 6.79%73.41% 2.41% 3.92% 2.18%
BBKP5.66%76.77%85.32%97.17%47.00%45.22%8
MNC2.44% 9.24%21.19% 0.07% 3.45% 3.78%
BAG0.98% 4.98% 3.59% 5.16%101.78% 2.08%
BNBA3.94% 3.47% 2.11% 2.27% 2.25% 1.65%
BVIC3.47% 8.75%33.38% 3.88% 4.45% 4.00%
Others—9 banks8.92% −5.51% 13.17% 7.22% 13.43% 12.30%
Banks201420152016201720182019
% to sysRank% to sysRank% to sysRank% to sysRank% to sysRank% to sysRank
BCA5.27%77.49%44.07% 6.27%44.45% 5.21%9
BRI7.90%29.89%26.01%68.14%36.36%65.77%7
BMRI7.02%38.72%35.58%85.83%67.33%35.50%8
BNI12.10%110.80%18.33%112.23%211.22%110.36%2
MEGA1.93% 1.39% 0.48% 6.16%53.07% 2.04%
BDMN6.75%46.69%56.03%517.08%16.83%56.05%5
PNBN6.54%55.14%84.94% 1.81% 5.99%76.88%4
BTPN3.84% 2.63% 1.97% 3.96% 3.70% 3.91%
BJBR4.68% 4.75% 5.10%9−0.61% 2.61% −0.28%
BTN6.43%63.10% 7.27%33.04% 8.08%25.21%10
BJTM2.57% 3.19% 7.01%40.73% 1.91% 1.79%
SDRA4.12% 2.65% 2.03% 2.79% 1.97% 3.92%
BACA1.62% 5.18%74.12% 2.38% 2.55% 2.17%
BNGA2.55% 1.67% 3.20% 2.26% 3.69% 3.95%
AGRO3.25% 3.16% 7.94%23.85% 3.46% 8.88%3
BBKP4.96% 4.13% 5.78%75.06%75.95%85.82%6
MNC3.73% 5.65%64.15% 2.55% 1.31% 1.35%
BVIC2.10% 4.04% 2.92% 3.89% 6.96%412.75%1
Others—9 banks12.64% 9.71% 13.06% 12.60% 12.56% 8.70%
Table 6. SRISK.
Table 6. SRISK.
Banks200820092010201120122013
% to sysRank% to sysRank% to sysRank% to sysRank% to sysRank% to sysRank
BMRI31.14%10.00% 0.00% 0.00% 0.00% 0.00%
BNI29.17%216.13%30.00% 7.43%30.00% 39.87%1
BNLI11.30%424.24%231.85%227.93%20.00% 0.00%
PNBN0.00% 0.00% 0.00% 2.47% 70.17%122.02%3
BNGA24.61%344.70%167.64%149.54%10.00% 0.00%
BJBR0.00% 13.67%40.00% 0.00% 3.83% 0.00%
BTN0.00% 0.00% 0.00% 0.00% 0.00% 26.72%2
BJTM0.00% 0.00% 0.00% 5.75%40.00% 0.00%
BBKP2.81% 0.00% 0.00% 4.04% 18.48%24.55%
BAG0.88% 1.26% 0.51% 2.45% 1.95% 2.56%
BVIC0.00% 0.00% 0.00% 0.39% 5.57%34.29%
OTHERS—16 BANKS0.00% 0.00% 0.00% 0.00% 0.00% 0.00%
Banks201420152016201720182019
% to sysRank% to sysRank% to sysRank% to sysRank% to sysRank% to sysRank
BNI0.00% 23.91%226.65%226.11%240.78%149.14%1
BNGA19.62%226.94%112.77%40.00% 11.45%410.52%4
BTPN0.00% 0.00% 0.00% 0.00% 0.00% 1.97%
Maybank0.00% 7.52%50.00% 0.00% 0.26% 1.44%
BJBR16.16%310.77%40.00% 0.00% 0.00% 0.00%
BTN43.27%113.48%328.09%10.00% 28.55%220.15%2
BBKP1.84% 6.62%613.36%352.75%113.36%310.94%3
BAG9.18%45.30%73.81% 14.51%32.38% 1.79%
BNBA0.93% 0.32% 0.46% 0.00% 0.00% 0.00%
BVIC8.19%55.13%84.37% 6.63%43.22% 3.35%
BACA0.81% 0.00% 0.58% 0.00% 0.00% 0.00%
AGRO0.00% 0.00% 0.00% 0.00% 0.00% 0.70%
PNBN0.00% 0.00% 9.90% 0.00% 0.00% 0.00%
OTHERS—14 BANKS0.00% 0.00% 0.00% 0.00% 0.00% 0.00%
Table 7. Basel-indicator-based approach (top 25 banks).
Table 7. Basel-indicator-based approach (top 25 banks).
Jun-15Dec-15Jun-16Dec-16Jun-17Dec-17Jun-18Dec-18
NameSystemic ScoreNameSystemic ScoreNameSystemic ScoreNameSystemic ScoreNameSystemic ScoreNameSystemic ScoreNameSystemic ScoreNameSystemic Score
BANK 21408BANK 21321BANK 21242BANK 21248BANK 21224BANK 21219BANK 21222BANK 21219
BANK 11100BANK 11155BANK 11158BANK 11115BANK 11126BANK 11158BANK 11153BANK 11158
BANK 6957BANK 6960BANK 61040BANK 61084BANK 61105BANK 61079BANK 61116BANK 61079
BANK 3564BANK 3670BANK 3694BANK 3750BANK 3733BANK 3759BANK 3798BANK 3759
BANK 9376BANK 9399BANK 9379BANK 9355BANK 9347BANK 9372BANK 9364BANK 9372
BANK 4309BANK 19327BANK 19316BANK 19333BANK 19328BANK 19316BANK 19330BANK 19316
BANK 18301BANK 24279BANK 24279BANK 4267BANK 73268BANK 4266BANK 73274BANK 4266
BANK 24296BANK 4274BANK 4275BANK 24261BANK 4255BANK 73266BANK 4248BANK 73266
BANK 19285BANK 8268BANK 8274BANK 8250BANK 8254BANK 8247BANK 32232BANK 8247
BANK 5273BANK 18252BANK 5242BANK 73236BANK 24250BANK 24219BANK 11230BANK 24219
BANK 29246BANK 79251BANK 7226BANK 7229BANK 7226BANK 7218BANK 12219BANK 7218
BANK 8243BANK 5239BANK 73224BANK 11214BANK 32224BANK 11218BANK 7213BANK 11218
BANK 11224BANK 29216BANK 29221BANK 12207BANK 12215BANK 32209BANK 24211BANK 32209
BANK 12223BANK 12209BANK 18215BANK 18203BANK 11213BANK 12205BANK 8200BANK 12205
BANK 73207BANK 11205BANK 11210BANK 5200BANK 29194BANK 29185BANK 5187BANK 29185
BANK 7193BANK 7201BANK 12193BANK 29185BANK 5173BANK 5180BANK 29184BANK 5180
BANK 79171BANK 73194BANK 79186BANK 79185BANK 81165BANK 79172BANK 20165BANK 79172
BANK 37146BANK 37144BANK 21142BANK 37162BANK 79158BANK 37171BANK 21161BANK 37171
BANK 21132BANK 21134BANK 37142BANK 20152BANK 20153BANK 20165BANK 79150BANK 20165
BANK 81129BANK 20123BANK 20127BANK 81147BANK 37151BANK 21146BANK 37147BANK 21146
BANK 10113BANK 10110BANK 10109BANK 21138BANK 21140BANK 81144BANK 10105BANK 81144
BANK 20113BANK 13105BANK 13107BANK 10106BANK 10103BANK 10105BANK 75100BANK 10105
Table 8. Kendall’s correlation of the theoretical and Basel models.
Table 8. Kendall’s correlation of the theoretical and Basel models.
CoVaR15CoVaR16CoVaR17CoVaR18Mes15Mes16Mes17Mes18Srisk15Srisk16Srisk17Srisk18
CoVaR151.0000
CoVaR160.06671.0000
CoVaR170.6000−0.06671.0000
CoVaR180.73330.06670.86671.0000
Mes15−1.0000−1.0000−0.6667−0.66671.0000
Mes16−0.4000−0.6000−0.2000−0.40000.33331.0000
Mes17−0.6667−0.6667−0.3333−0.33330.00000.60001.0000
Mes18−0.3333−0.33330.33330.33330.60000.60000.40001.0000
Srisk15.....0.6667.1.00001.0000
Srisk16.....0.3333.0.3333−0.33331.0000
Srisk17..........1.0000
Srisk18.....1.0000.1.00000.00000.6667.1.0000
Bsl150.33330.33330.00000.00000.4667−0.6667−0.33330.4000....
Bsl160.33330.33330.00000.00000.4667−0.6000−0.80000.06670.3333−0.3333.0.3333
Bsl170.33330.33330.00000.00000.4667−0.6000−0.80000.20000.3333−0.3333.0.3333
Bsl180.33330.33330.00000.00000.4667−0.6000−0.80000.20000.3333−0.3333.0.3333
Bsl15Bsl16Bsl17Bsl18
Bsl151.0000
Bsl160.94441.0000
Bsl170.88890.86671.0000
Bsl180.88890.86671.00001.0000
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Salim, M.Z.; Daly, K. Modelling Systemically Important Banks vis-à-vis the Basel Prudential Guidelines. J. Risk Financial Manag. 2021, 14, 295. https://0-doi-org.brum.beds.ac.uk/10.3390/jrfm14070295

AMA Style

Salim MZ, Daly K. Modelling Systemically Important Banks vis-à-vis the Basel Prudential Guidelines. Journal of Risk and Financial Management. 2021; 14(7):295. https://0-doi-org.brum.beds.ac.uk/10.3390/jrfm14070295

Chicago/Turabian Style

Salim, M. Zulkifli, and Kevin Daly. 2021. "Modelling Systemically Important Banks vis-à-vis the Basel Prudential Guidelines" Journal of Risk and Financial Management 14, no. 7: 295. https://0-doi-org.brum.beds.ac.uk/10.3390/jrfm14070295

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