CEO chairman controversy: evidence from the post financial crisis period

Regulators generally discourage bank CEOs also holding the role of board Chairman, as this governance structure can hinder independent decision-making and effective risk oversight. This study examines the issue of CEO Duality, identifying a positive relation to greater risk-taking across a battery of sensitivity tests. In further analysis, the study controls for differences in supervisory monitoring levels to examine its impact. Banks led by CEO Chairmen which are subject to lower levels of supervision continue to report a robust association to risk-taking, as before. However, this association dissipates for banks which are subject to heightened supervisory monitoring. These findings indicate that agency costs related to Duality may be moderated by greater regulation. This paper weighs-in on the controversy relating to a single contentious governance structure (i.e., CEO Duality), thus informing boards, regulators and researchers of the need to consider the overall interplay of monitoring mechanisms.


Introduction
Corporate governance failures contributed to the severity of the financial crisis. While poorly structured incentive schemes, high leverage levels and complex financial products played their role, all too often powerful bank Chief Executive Officers (CEOs) became the recognized face of excessive risk-taking gone wrong. Bank CEOs are well-placed to encourage excessive risk-taking (Fortin et al. 2010;Lu and Boateng 2018). This study examines the potential for agency conflicts in the boardroom which may drive excessive risk-taking. It seeks to contribute to the debate on boardroom structures and their interaction with CEO power (Srivastav and Hagendorff 2016, p 340). It also responds to those 1 3 who call for greater monitoring mechanisms in the context of CEO Duality to curb bank risk-taking (Lu and Boateng 2018).
Governance structure matters (Fama and Jensen 1983;Mehran et al. 2011). Moreover, bank board structure matters relative to non-bank boards because their failure can impose great costs upon society (Pathan 2009). As a result, banks are subject to regulatory oversight (Flannery 1998;Clarke 2004;Macey and O'Hara 2016). Unrestrained CEO power restricts the board's access to risk-based information, reducing independent decision-making (Fama and Jensen 1983). A bank's board retains substantial authority for risk-management (Basel 2015;Macey and O'Hara 2016). Duality (where the CEO also is Chairman) can impede independent monitoring (Jensen 1993;Lasfer 2006). The board also plays a lead role in establishing the bank's risk appetite levels, monitoring capital and liquidity risks, and reviewing CEO performance (Basel 2015). In this study, approximately half of the US Bank Holding Company (BHC) leaders hold both the CEO and Chairman title, thereby carrying responsibility for day-to-day operations and at the same time assuming responsibility for its corporate governance activities.
After the post financial crisis period, a number of changes impacted the governance structures of financial institutions (Dewatripont and Freixas 2012;Dermine 2013;Gontarek 2016). Regulators have introduced a suite of structural changes relating to liquidity, leverage and resolution (Claessens 2014, Tanda 2015. Banks also came under fire from activists, institutional investors, proxy advisory firms and regulators seeking improved corporate governance practices, including the separation of the CEO and Chairman roles (Tonello 2011;FRC 2010;Abels and Martelli 2013). For example, banks were required to explain Duality in their proxy materials in addition to other supervisory measures (Akhigbe et al. 2015).
This paper tests the proposition that agency conflicts (such as weakened board monitoring and informational dissymmetry arising with Duality) results in excessive risk-taking, following Lu and Boateng (2018). Next, the role of regulation is considered more thoroughly by examining the sample for different levels of regulatory intensity. The Dodd-Frank Act (2010) designated certain BHCs as Systemically Important Financial Institutions (e.g., "SIFIs"), resulting in varying intensity levels of external and internal monitoring (Gao et al. 2013). Since both SIFI and non-SIFI are included in this BHC sample, a unique window exists to observe the impact of Duality upon risk-taking given the varying degrees of regulation. In further analysis, the research reveals that risk-taking continues as before for BHCs not subject to heightened regulation. However, a different picture emerges for BHCs that are subject to intense external monitoring, where now an insignificant relation is reported between Duality and risk-taking.
This reveals an important finding. Both sets of BHCs practise Duality and face incentives for greater agency conflicts. As noted by Lu and Boateng (2018), Duality may lead to a failure of internal control systems and reduce board monitoring effectiveness. However, BHCs that also are subject to intensive external monitoring appear to successfully curb harmful impacts of agency conflicts leading to excessive BHC risk-taking.
These results underscore the potential for the substitution of monitoring mechanisms to moderate agency costs. The existence of Duality itself may hinder effective board monitoring, but where enhanced monitoring mechanisms are effectively adopted, the impact to risk-taking is no longer significant. Internal and external monitoring mechanisms thus appear to interact (Hardwick et al. 2011;Kim and Lu 2011). Under governance substitution theory, other monitoring features can be substituted to control Duality and thus mitigate harmful agency costs (Rediker and Seth 1995;Krause et al. 2014;Wang et al. 2019). This study is one of the few studies to empirically examine these issues in the post crisis setting (Rediker and Seth 1995;Krause et al. 2014).

Literature review
Corporate governance measures such as Duality and board composition are important indicators of overall governance quality (Tosun and Senbet 2019;Francis et al. 2012;Linck et al. 2008). The bank CEO is a powerful role both in and outside the bank. Among top executives, the bank CEO is endowed to make major decisions (Pi and Timme 1993). The existence of Duality confers the dominance of the CEO as the most senior member of top management (Bai and Elyasiani 2013). Combining the CEO Chairman role may be seen as a reward for corporate performance, exceptional contribution, and serve as a retention tool.
At the same time, the board of directors is the primary governance and executive oversight forum (Cornett et al. 2010;Adams 2012). The appointment or dismissal of the CEO is in practice arguably the single most important function of a board. In extreme, it may fire a CEO in cases of misconduct (Fama and Jensen 1983;Charkham 2003). The effectiveness of the board's monitoring role is related to its independence (Finkelstein et al. 2009;Hayes 2013). Applying an agency theory lens, Duality may compromise the efficacy of internal monitoring (Pi and Timme 1993;Chen and Al-Najjar 2012;Tang 2016). Effectively, Duality may usurp the power of the board and diminish its monitoring agenda (Lu and Boateng 2018).

Arguments and evidence for and against duality
There are well argued positions for and against Duality. Arguments in favour of Duality fall under the banner of "benefits of unity of command" hypothesis (Finkelstein and D'Aveni 1994). This position resonates with organizational theory based paradigms such as resource dependence theory (Boyd 1995) and stewardship theory (Donaldson and Davis 1991). These arguments recognise the benefits of prompt implementation of board level decision-making (Jensen and Meckling 1995;Yang and Zhou 2014). Consolidation of power promotes improved managerial coordination (Tang 2016). According to this narrative, the independence of the CEO and Chairman roles is artificial. It duplicates leadership and leads to internal confusion, especially in times of crisis (Larcker and Tayan 2016). As far as boardroom dynamics, influence over the selection of directors by powerful CEO Chairmen can result in fewer conflicts between management and the board. In this framework, Duality can result in improved coordination and even responsive risk management (Smith and Stulz 1985).

3
In terms of empirical literature, Byrd et al. (2012) examine governance structures, including Duality, for 130 US savings and loan institutions during the 1980s. They find that firms with non-Duality are significantly more likely to fail than those exhibiting Duality. Berger et al. (2016) and Simpson and Gleason (1999) report a greater incidence of bank failure for US BHCs that separate these two key roles. Pathan (2009) reports evidence of lower risk-taking for a proxy of CEOs power. Mollah and Liljeblom (2016) also construct a similar CEO power index to find a positive impact upon bank quality and performance during the sovereign debt crisis. Grove et al. (2011) find no relation with Duality and loan quality.
Alternatively, there is well-reasoned literature arguing against Duality. One of the primary roles of the board of directors is to monitor the CEO (Li and Roberts 2018). The separation of Chairman and CEO roles is seen as an indicator of good governance, alleviating agency costs and increasing monitoring effectiveness (de Haan and Vlahu 2015;Larcker and Tayan 2016;Allam 2018). The bank Chairman is expected to commit a substantial portion of time on issues facing the bank, promoting informed and critical debate on issues relating to strategy, risk appetite, CEO evaluation and executive remuneration (Walker 2009). Not all good CEOs are necessarily up to this task. Walker (2009) recommends that Chairmen must devote substantial time on board business, facilitating the board's decision-making on executive compensation, succession planning, and the recruitment of new directors. If the role of bank boards is to advise and monitor, then scrutinizing managerial actions for signs of excessive risk-taking is a key governance task (Linck et al. 2008;Lu and Boateng 2018).
The opacity of financial institutions can intensify agency costs (Grove et al. 2011;Sora and Natale 2004). Unfettered CEO power can restrict the board's access to riskbased information, diminishing independent decision-making (de Haan and Vlahu 2015;Pathan 2009;Srivastav and Hagendorff 2016). As such, Duality may curtail monitoring effectiveness (Pathan 2009). Cornett et al. (2009) note that boards relaxed their monitoring as the financial crisis approached, including greater Duality. Given the unique features of banks (Adams and Mehran 2003;John et al. 2016), Duality may result in greater agency conflict, leading to excessive risk-taking (Carty and Weiss 2012). These arguments sit under the banner of "agency costs" hypothesis (Florackis 2008), reflecting agency conflicts associated with greater risk-taking or reduced efficiency.
Empirical evidence also supports the "agency costs" argument. Faleye and Krishnan (2010) find that lending to higher risk customers tends to rise with Duality. Chen and Lin (2016) examine an international sample to find Duality is associated with greater liquidity risks. More recent evidence is reported from Chen and Ebrahim (2018) who examine US banks in the pre-crisis period and find that Duality (along with CEO tenure) is positively related to CEO risk-taking behaviour. Grove et al. (2011) report that Duality is negatively associated with accounting performance measures, consistent to Bhagat et al. (2008). Carty and Weiss (2012) interview US regulators on Duality and observe that supervisors appear to accept the practice but expect other governance mechanisms to curtail agency costs related to Duality. Lewellyn and Muller-Kahle (2012) find a robust relation for CEO power and risk-taking in US firms whereas DeBoskey et al. (2019) find that that Duality is associated with more positive earnings tone announcements. Lu and Boateng (2018) find Duality has a significant impact upon greater bank credit risk levels, proxied by higher Non-Performing Loans (NPLs) and greater Loan Loss Reserves in their UK bank sample. These authors argue Duality and incentives are a major determinant for bank risk-taking.

A public policy issue
Certain jurisdictions discourage Duality. The Financial Reporting Council in the UK sets out its views: "There should be a clear division of responsibilities at the head of the company between the running of the board and the executive responsibility for the running of the company's business. No one individual should have unfettered powers of decision" (FRC 2010). The Canadian regulator is un-ambiguous with respect to Duality: "The role of the Chair should be separated from the CEO as this is critical for maintaining the Board's independence, as well as its ability to execute its mandate effectively" (OSFI 2018). Likewise, the view is equally clear for Irish and Australian regulated financial institutions (Central Bank of Ireland 2015; APRA 2018). Few banks in Europe exercise Duality (Andersson and Nestor 2018). The European Banking Association (EBA) indicated that the CEO and Chairman should not be the same person unless the board determines it is in the best interests of the enterprise (European Banking Association 2011).
In the US, the Securities and Exchange Commission (SEC) considered the role that Duality may have had in the driving financial crisis (Abels and Martelli 2013). Investors sought to split the joint CEO Chairman role at a number of US BHCs, in an effort to reduce conflicts of interest (Krause et al. 2014). Investors and their advisors such as ISS argued for a split of the CEO and Chairman role at JP Morgan Chase & Co., indicating "Unchecked risk-taking and oversight failures have cost J.P. Morgan & Co. more than $6 billion in losses" (AFSCME Pension Fund 2013). US firms that received federal assistance under the 2008 Troubled Asset Relief Program (TARP) were at first required to separate the CEO and Chairman roles (Yang and Zhou 2014). The Dodd-Frank Act of 2010 however relaxed this approach, requiring firms to only comply or explain (Brown 2010).
While adopting the same zero tolerance of Duality followed in Europe and Canada, US supervisors indicate: "When the board chair and the CEO are different individuals, having the separate roles may help insure a more appropriate balance of power between board and management" (OCC Bank Director Handbook 2016). Notwithstanding this debate, empirical evidence on the impact of board level features upon bank risk-taking remains unsettled (Srivastav and Hagendorff 2016;Lu and Boateng 2018).

The data
Panel data employed in this study, combining both time-series and cross-sectional data (Minton et al. 2014;Adams and Jiang 2015). The data is comprised of slowly changing Duality, corporate governance and ownership data, suggesting the use of pooled ordinary least squares (Zhou 2001). For convenience, "Appendix 1" provides the empirical definition of all variables used in this study.

Sample selection
The sample consists of the 140 largest BHCs found on the Federal Reserve's website. 1 Data availability on US BHCs makes this a prime sample to study governance and regulatory issues (Huang et al. 2017). The sample represents some 70% of US banking assets for a notional sum of $11 trillion. The sample reports for the period 2012 to 2017, inclusive for US BHCs (not operations of foreign banks based outside the USA). The list of BHCs is found in "Appendix 2".

Dependent variables
This study's dependent variables include typical bank risk-taking measures Non-Performing Loans (NPLs), Tier 1 Capital, Tail-Risk and the Z-score. The Efficiency Ratio is also included as a dependent variable, as noted below. The corporate governance data comes from BoardEx (BoardEx 2016) whereas BHC financial data is collected from Bloomberg, or as otherwise noted. Table 1 details these variable definitions.
Following Ellul and Yerramilli (2013), NPLs and Tail Risk are used as outcome variables. NPLs are an overall indicator of credit portfolio quality (OCC Director's Handbook 2016; Keffala 2017). Lu and Boateng (2018) argue that NPLs are a proxy for the effectiveness of bank credit risk management. Higher NPL rates reflect riskier lending practices (Nakano and Nguyen 2012). BHC Tail Risk (Ellul and Yerramilli 2013;Kanas and Zervopoulos 2019) is the negative of the average return on the BHC's stock over the 5% worst return days annually. BHCs with an independent and effective risk management function should have lower enterprise-wide tail risk (Kashyap et al. 2008). Improved management of Tail Risk can mitigate the risk of large unexpected losses and mitigate systemic risks (SSG 2008(SSG , 2009Ellul and Yerramilli 2013). Tail Risk is closely related to the Marginal Expected Shortfall Measure (MES) used elsewhere in the literature to proxy the propensity to experience a capital shortfall in stress conditions (Acharya et al. 2011;Iqbal and Vähämaa 2018). (Kanas and Zervopoulos 2019) describe this measure as a systemic fragility metric. Capital ratios are an important predictor of bank risk (Hogan et al. 2017). 2 Capital serves as a buffer for risks that may otherwise cause distress and even failure (Beltratti and Stulz 2012). Well capitalized banks improve the prospects of survival (Swamy 2018). Capital is particularly important for crisis periods to compensate for large, unexpected losses (Berger and Bouwman 2013). Tier 1 Capital is used in this study (Minton et al. 2014;Fahlenbrach and Stulz 2011). As noted by Iqbal and Vähämaa (2018), capital is the main variable of interest to regulatory authorities. Next, the Z-score (Altman 1968) is also used in this study, following Laeven and Levine (2009), (Radic et al. 2012), and Nakano and Nguyen (2012).
Bank efficiency may be related to risk-taking incentives (Silva et al. 2016). This line of reasoning is that inefficient banks face profit pressures, thus more exposed to excessive risk-taking incentives to achieve short-term revenue targets (Lu and Boateng 2018). Inefficient banks also face incentives for greater risk-taking (Fiordelisi et al. 2011). The Efficiency Ratio is a practical measure used in everyday banking, essentially indicating the fraction of one dollar required to produce one dollar of revenue excluding funding costs, so lower ratio values indicate more efficient banks.

Key explanatory variables
CEO characteristics are next discussed. Duality is measured as a dummy variable of 1 if the same person holds the title of BHC CEO and Chairman in a given year, following Zagorchev and Gao (2015). Next, CEO Tenure is measured as the number of years that the CEO is on the board of directors. New board members may feel intimidated by an established CEO (Bebchuk et al. 2002;Byrd and Cooperman 2010). The explanatory variables also cater for CEO incentives. Bank CEOs can generate significant wealth in holding shares or experience wealth losses (Fahlenbrach and Stulz 2011). CEO Ownership is calculated as the log of total USD holdings of BHC equity held by the CEO for each year. This explanatory variable reflects important incentives to bank CEOs to limit the bank's risk exposures, following Chung and Pruitt (1995) and Onali et al. (2016). Chung and Pruitt (1996), Bai and Elyasiani (2013), Onali et al. (2016) and Bouwens and Verriest (2014). 3 According to Aebi et al. (2012) who similarly measure CEO Ownership, this explanatory variable serves as a proxy for incentives relating bank CEOs to maximize value and limit the bank's risk exposures.
The governance variables relate to the strength of the monitoring function (Spong and Sullivan 2007). Board Size is measured by the number of total directors on the BHC board of 2 See Beltratti & Paladino (2015) for an empirical analysis of this subject who argue that in fact banks with greater capital levels enjoy a higher residual income, higher return on capital and a lower cost of capital. 3 This measure of the USD amount of BHC equity held for each year is used versus the alternative of the percentage of total share measure because banks with larger percentage ownership are in general smaller banks with smaller capitalizations, and thus smaller dollar amounts are actually at risk. Conversely, when a manager of a larger BHC owns only a small percent of shares, the corresponding dollar amount may be very high for BHCs with higher capitalization levels exhibiting a strong alignment of interest and incentives as noted by Bouwens and Verriest (2014) page 24 and Aebi et al. (2012) page 3217. Thanks to Gabriele Sabato for his input relating to the specification of this variable. directors, following de Andres and Vallelado (2008). While large boards can draw from a vast pool of expertise, others argue that they may face free-rider or other practical challenges (Jensen 1993). Key differences in BHC business models are catered for with control variables. BHC Size is employed in this study following Akhigbe et al. (2016) and Zagorchev and Gao (2015). The size of a bank denotes the potential scale, breadth of products and complexity. BHC Size is calculated as the log value of BHC assets as collected from the US Federal Reserve website. 4 The amount of total loans (Total Loans) is measured as the ratio of total-loans to total-assets (Switzer and Wang 2013;Kupeic and Lee (2012). The extent of loans can vary depending upon business model differences. Banks mainly use deposits to finance loan growth (Mamun and Hassan 2016;Egly et al. 2018). The ratio of deposits-to-total assets (Deposits) reflects the extent to which secure funding may originate from depositors (Minton et al. 2014). Lastly, the receipt of bailout funds indicates greater moral hazard incentives related to government support (Black and Hazelwood 2012). Duchin and Sosyura (2014) report that bailed out banks originated riskier loans and securities after receiving government funding. Participation in the Troubled Asset Relief Plan (TARP) is included as a control variable.
The $700 billion of TARP funds issued were used to purchase preferred stock and stock warrants across a total of 707 financial institutions including commercial banks Gangopadhyay et al. (2018). The USD amount of TARP funds received by each BHC is collected from the ProPublica website following Shah et al. (2017); (Minton et al. 2014). 5

Descriptive statistics
Summary statistics for the key risk and explanatory variables used in the sample are presented in Table 1. Starting with the dependent variables, the Efficiency Ratio is reported at 64%, versus 66% reported in Radic et al. (2012) and Mamatzakis and Bermpei (2015) and 71% in Lu and Boateng (2018) for their UK sample. Non-performing loans (NPLTLs) are reported at 0.87. Goetz (2018) reports a bank NPL ratio of 1.51 for the 1976 to 2006 period. Non-performing loans are reported by Akhigbe et al. (2015) at 1.73 in their small bank sample. Tier 1 capital levels are reported at 13.5% in this study, versus 12.4% in Leventis and Dimitropoulos (2012) and 12.7% in Iqbal and Vähämaa (2018). Tail Risk is reported at-19.9 versus 4.9 in Ellul and Yerramilli (2013) for the pre-crisis period and 14.3 reported in Lingel and Sheedy (2012). The mean value of the Z-score is 0.83.
In terms of CEO related explanatory variables used, Duality is reported at 50%, compared to 48.6% in Cornett et al. (2016) and 61% in Faleye et al. (2017). The mean value of the market value of CEO shareholding (log) is $16.1 million, compared to $26.0 million in Bai and Elyasiani (2013). Board size in the full sample is 11.6, versus 8.5 in Yang and Zhao (2014). Next, business level variables are examined. BHC Size is $75.5 billion (log value $9.6 billion), versus log values of $10.1 in Shah et al. (2017), $7.9 billion in  and $8.28 billion in Kozubovska (2017). The mean value of Total Loans is 65%, versus 62% in Iqbal and Vähämaa (2018). The mean value of Deposits is 74.6%, compared to 73.9% in Aebi et al. (2012) and 66.97% in Akhigbe et al. (2015).
Governance variables are next reported. CRO Tenure, the number of years a CRO holds this position, is reported at 8.6-years. Risk committees report a mean value of 69%, compared to 59.6% in Iselin (2016). Following Dupire and Slagmulder (2018), Risk Committee Charters are collected in this study (on-line) to note the adoption of a risk appetite framework. BHCs which formally approve Risk Appetite arrangements are assigned a dummy value of one, following Gontarek and Belghitar (2018). In this study, Risk Appetite is adopted across 25% of the sample, versus 46% in Dupire and Slagmulder (2018). The mean value of the CRO Centrality variable in this study is 24.3%, versus 31.3% reported in Ellul and Yerramilli (2013). Table 2 reports the pairwise correlation analysis for the variables used in the baseline analysis. Turning attention first to BHC outcomes, the Efficiency Ratio is positively related and significantly correlated to NPLs and Tier 1, consistent with the extant literature. NPLs are negatively related to CEO Ownership and CEO Tenure. Tier 1 capital exhibits a significant negative relation to BHC Size, as reported in Ellul and Yerramilli (2013) and Battaglia and Gallo (2015). Tail Risk is negatively significantly related to Duality, CEO Ownership, and CEO Tenure suggesting here an inverse relationship. Duality is positively related and significant with CEO Ownership and CEO Tenure, as expected. Duality is positively correlated with the Efficiency Ratio, consistent with Lu and Boateng (2018). Table 3 shows the baseline determinants of BHC risk-taking. The initial examination begins by estimating a series of pooled ordinary least squares (OLS) panel regressions. The results are presented in each column headed by the relevant dependent variable, for both contemporaneous and lagged examinations.

Multi-variate estimations-baseline analysis
Turning to the first model in Table 3 to observe the determinants of NPLs, the coefficient for Duality is positive and records a value of.178, indicating on average banks with the combined CEO Chairman role experience.178 higher in NPLs. The statistical significance of this relation is one per cent, compared to the ten per cent significant positive relation between Duality and NPLs observed in Lu and Boateng (2018). Duality is one per cent positively related to Tier 1 levels in column 2, with a coefficient value suggesting on average BHCs with dual governance structures of CEO and the Chairman carries a further 59 basis points of capital. Table 3 column 3 reports the determinants of Tail Risk. A positive and ten per cent significant relation of Duality is reported. In the next column for the Z-score, Duality reports an insignificant coefficient value.
Lastly, the analysis turns to the Efficiency Ratio. Duality is positively related to the Efficiency Ratio, indicating BHCs with dual CEO Chairman roles are less efficient, on average. Recalling the bad management hypothesis noted in Fiordelisi et al. (2011), we note that lower level of bank efficiency can drive greater bank risk-taking incentives, over time. Lu and Boateng (2018) note that greater bank efficiency levels have a positive influence relative to overall credit risk levels.
Next, a series of lagged examinations of the same baseline model is recorded. The primary purpose of lagged examinations is to investigate the influence of the Duality upon subsequent BHC risk-taking (Li 2016;Faleye et al. 2011). Table 3 columns 6-10 records   Table 3 Baseline estimations. BHC Risk-taking determinants: contemporaneous and lagged examination

Note
The regressions are estimated using pooled OLS. Heteroskedasticity is corrected using robust standard errors. Estimations include year-dummies, unreported. t statistics in parentheses* p < 0.10, ** p < 0.05, *** p < 0.01. Columns 1-5 are the contemporaneous estimations while columns 6-10 are the lagged estimations   (2015) and Li and Roberts (2018) who employ this technique to reduce endogeneity and simultaneity biases.
Staring with Model 6, the impact of Duality upon NPLs is observed and continues to exhibit a positive and five per cent significant relationship. Next, the results for the determinants of Tier 1 are examined. Duality remains positively related and significant in Model 7 of Table 3 to Tier 1. The lagged determinants of Tail Risk are next reported in Table 3 column 8. Model 8 reports a ten per cent significant positive association here, indicating that BHCs with Duality as a governance structure exhibit positive Tail Risk. The Z-score is not significant in any of these examinations but reports a negative coefficient value. Efficiency is reviewed next in Table 3, Model 10. Duality is again one per cent positively related to the Efficiency Ratio for both models, indicating that BHCs managed with this governance structure are less efficient. In both contemporaneous and lagged examinations, Duality is associated with greater NPLs, positive Tail Risk, carry greater levels of capital to support risk-taking and are less efficient.

Sensitivity analysis
In this section a range of sensitivity checks are conducted on the determinants of risk-taking measures to ensure the validity of the foregoing results. First, the issue of endogeneity is addressed (Chen et al. 2008). Second, an alternative measure of CEO power based on an index is employed. Third, the impact of enhanced monitoring is examined by splitting the sample into BHCs subject to greater and lower levels of monitoring. Finally, to further mitigate the issue of omitted variable bias, a further suite of governance mechanisms is added to the baseline regressions.

Endogeneity
It is generally held that endogeneity can plague corporate governance studies, leading to bias and inconsistent results (Hermalin and Weisbach 2003;Berger et al. 2016). There are two possible causes of endogeneity: reverse causality (simultaneity) and omitted variables. Turning first to reverse causality, there is a possibility that the choice of governance structure (in this case Duality) is determined by excessive BHC risk-taking levels. A plausible explanation is therefore that higher risk-taking activity could drive boards to consolidate power in the hands of one individual in order to realise the benefits of coordination and improved communication (Tang 2016). While the earlier lagged analysis may somewhat mitigate these concerns, it is acknowledged that Duality and the risk measures may still be endogenously determined.
To address the issue of endogeneity emanating from reverse causality, further analyses is carried out on the sample and reported in Tables 4, 5 and 6. First, inspired by Faleye et al. (2011) and Coles et al. (2008), a new series of estimations are conducted with Duality measured years earlier than the sample time period (in this case on the first day of 2008). This approach brings two advantages. It somewhat mitigates some of the effects of reverse causality by measuring the variable of interest years before the study period and also captures this governance practice before the global financial crisis  (Larcker and Rusticus 2009;Lee et al. 2016a, b). As noted by Adams and Mehran (2012), the instrument used in this analysis should correlate with Duality but be uncorrelated with risk-taking except through variables already in the regression. Identifying valid instruments are never an easy task (Antonakis et al. 2010).
Fortunately, the literature guides the choice of instrument for Duality. Following Yang and Zhou (2014) who also examine Duality, the choice of instrument employed in this study is the natural logarithm of CEO Age. As noted, Linck et al. (2008), the combined CEO Chairman role is significantly and robustly related to CEO Age. However, it is not obvious that CEO Age is related to the dependent variables used in this study. Skala and Weill (2015) examine CEO Age versus outcome variables bank Tier 1 capital ratio and NPLs (as used in this study), finding little relation to these measures. Ho et al. (2016) use CEO Age as an instrument for CEO overconfidence but should have no relation upon bank lending and leverage/Tier 1. CEO Age has also been employed as an instrument by Cornett et al. (2009), Palia (2001 and Brick et al. (2006) in other bank corporate governance research. Table 4 reports the results based 2SLS across the first 5 dependent variables. A test is initially carried out to determine whether the estimated variable Duality is endogenous. Except for the dependent variable Z score, the Hausman test provides significant evidence of an endogeneity bias at the 5% level between all other bank risk measures and Duality, suggesting the latter requires instrumentation. The Anderson Canon test is significant and indicates that the equation is identified. The Cragg-Donald F-statistic is greater than the critical value provided by Stock and Yogo (2005), suggesting that the null hypothesis of CEO age as a weak instrument can be rejected. Table 4 adopts the instrumental variable reporting set-up used by Berger et al. (2016) for ease of reporting, including the initial OLS results reported earlier before presenting stage one and stage two results of the 2SLS estimation across Model (1) and Model (2). In Model (1) of Table 4, the first stage results of the 2SLS estimation is presented, indicating that the instrument, CEO Age, is positively and significantly related to Duality at the one per cent level. The second stage of the 2SLS analysis validate the earlier findings observed -Duality is positively and significantly related with higher risk-taking as before. Duality is positive and one-per cent significantly related to NPLs, Tier 1, and the Efficiency Ratio. Duality is also positive and five-per cent significantly related to Tail Risk in the second stage of the 2SLS estimations, recalling that Tail Risk is a particularly potent form of risk profile for BHCs, and difficult to observe by regulators with potentially disastrous consequences (Ellul 2015).
Moreover, the instrumental variable coefficient values in columns 2-6 are also consistently larger than the previously reported values in the OLS coefficient estimates from Table 3. Larger coefficient values observed in the instrumental variables estimations validates a more powerful prediction models when compared to the earlier un-instrumented analysis (Larcker and Rusticus 2010;Berger et al. 2016;Elamer et al. 2018). The second stage regression indicates that Duality is significantly related with greater risk-taking, consistent with the earlier examinations reported in this study, providing further evidence of the robustness of this relationship.
In addition to reporting results based on single equation instrumental variable estimation, the relation between bank risk-taking measures and Duality in a simultaneous equation is now modelled, using three-stage least squares (3SLS), where the disturbance terms The estimator is three-stage least squares. All t-statistics noted in parentheses. Heteroskedasticity is corrected using robust standard errors. Estimations include year-dummies, unreported. Significance levels: * p < 0.10, ** p < 0.05, *** p < 0 are assumed to be contemporaneously correlated. The results are reported in Table 5.
The results are consistent with the results based on 2SLS. Duality has positive and significant impact on bank risk measures, except Z score. This suggests that Duality is a key As mentioned earlier, a second possible cause of endogeneity is omitted variables bias (Lee et al. 2016a, b). As such, results are presented based on panel data analysis, where bank fixed effects are controlled for in the estimations. In particular, the baseline regression is augmented by including the lagged dependent variable of risk measures, leading to dynamic panel data setting specification. 6 In this specification, the lagged risk dependent variable is allowed to be correlated with unobserved heterogeneity. This suggests the use of an instrumental variables methodology to estimate the augmented baseline regression, where the lagged dependent bank risk measures and Duality are instrumented. The preferred estimator for this specification is the Generalised Method of Moments (GMM) system estimator (Arellano and Bover 1995;Blundell and Bond 1998). This is an instrumental-variables procedure that not only controls for firm fixed effects but also provides consistent and efficient coefficient estimates in the presence of a lagged dependent variable. 7 Table 6 presents the results of this dynamic panel data analysis for further robustness checks following Wang (2011). The Sargan test of over-identifying restrictions is not significant, indicating that the instruments used in the estimation are less likely to be correlated with the error term (i.e. valid instruments). The AR(1) and AR(2) tests confirm the existence of serial correlation of order one, but not of order two for NPLs, Tier 1, Tail Risk, and the Efficiency Ratio. The results suggest that the dynamic nature of bank risk measures is not rejected for the models based on Non-Performing Loans, Tail Risk, and the Efficiency Ratio. But for the models based on Tier 1 and Z score there is no evidence for dynamic setting. With regard to the effect of Duality on bank risk measures, the dynamic setting estimation shows that Duality has a positive effect on NPLs, Z score and the Efficiency Ratio, and the effect is significant at the 5% level. While for Tier 1 model, it is only significant at the 10% level. Overall, the dynamic setting specification results confirm the baseline regression findings.

Alternative measure of CEO power
So far, Duality is used as a proxy for CEO power. The authors acknowledge that other CEO-related characteristics other than Duality could contribute to CEO power. For example, the CEO may exhibit educational, board power industry networking skills or remuneration-based characteristics that may drive BHC outcomes (Custodio and Metzger 2014;King et al. 2016). This section of this paper describes how an index has been created to proxy CEO power as an alternative determinant of BHC risk-taking. Principal Component Analysis (PCA) is a multivariate technique that extracts information from data to display patterns of similarity and has been applied in bank risk governance research (Ellul and Yerramilli 2013). The advantage of PCA is that it facilitates the construction of a CEO power proxy without assigning arbitrary weightings for each individual variable (Tetlock 2007).
Four new variables relating to the CEO Power index are collected and reported in "Appendix 3", namely CEO Recruited Inside, CEO Busyness, CEO Education and CEO Total Annual Compensation mix, for the new CEO Power Index. This analysis continues with the CEO Power Index variable added to the baseline model (which includes Duality) as a robustness check. These estimations (reported in Table 7) validate Duality as a powerful determinant of risk-taking as before relative to the new variable proxied by CEO Power. 8 Duality remains one or five per cent significant and positively related to NPLs, Tier 1, Tail Risk and the Efficiency Ratio, as before. In no scenario reported is the CEO Power index significantly related to BHC outcome measures. 9 The evidence continues to support the initial findings that Duality as a governance structure is robustly associated with BHC risk-taking. 10,11

What is the impact of enhanced monitoring on BHC risk-taking?
As noted above, the Dodd-Frank Act (2010) designated certain banks as SIFIs. 12 Akhigbe et al. (2015) show that US financial institutions experience a reduction in discretionary risk-taking after the adoption of this act. Using data from Barth and Sau (2015) to identify US BHCs which are SIFIs, this study now delimits SIFIs from non-SIFIs and estimates a horserace regression between the two subgroups of BHCs. SIFIs are different from non-SIFIs in that they are subject to greater supervisory scrutiny and board-level arrangements, such as stress tests and the adoption of a Risk Committee, Risk Appetite and CRO related requirements (Federal Register 2014a and b, Barth 2015; Gontarek and Belghitar 2018). Table 8 reports the results of this analysis, reporting ten columns of output, five models for those BHCs designated as SIFIs and five models for those BHCs designated as non-SIFIs. Now the study results begin to diverge. Only now does Duality exhibit an nonsignificant statistical relationship to risk-taking in Models 1-5 (which are BHCs subject to greater monitoring intensity). This indicates that the relationship between Duality and risk-taking measures dissipates where BHCs are subject to greater supervision. However, for the non-SIFI BHCs reported in Models 6-10 of Table 8, Duality continues to report the same positive (and at times significant) relation with NPLs, Tier 1, and Tail Risk (but not the Z-score and the Efficiency Ratio). This analysis provides some evidence that the enhanced monitoring associated with SIFIs (versus non-SIFIs) may be an effective substitute for mitigating agency costs stemming from Duality. 8 CEO Total Annual Compensation Mix is also added to the baseline model with the results unchanged as before with respect to the relation of Duality and the suite of Dependent Variables, whereas CEO Total Annual Compensation Mix itself is not significant at the five or one per cent level in this further unreported finding. 9 All explanatory variables are lagged in this battery of tests as in Table 3 Models 6-10. 10 In further robustness testing, the CEO Power index was again used in the baseline estimations, this time while removing Duality from the model. So, CEO Power now replaces Duality as the independent variable of interest in these estimations. In this round of analysis, CEO power does not provide an effective prediction of BHC risk-taking and validating the primacy of the role of Duality over CEO Power. 11 In order to further validate the primacy of Duality over other measures of CEO Power noted within the literature, a further test was conducted. First, each of the aforementioned variables used to construct the CEO Power index were added as control variables to the baseline regressions. In this battery of tests, Duality continued to demonstrate qualitatively similar results in its relation to BHC risk-taking measures. 12 SIFIs or Systemically Important Financial Institutions are designated with a * in "Appendix 2".

Inclusion of enhanced governance practices and mitigation of omitted variables
In the next set of estimations, further governance mechanisms added to the previous SIFI related model to further mitigate omitted variable bias (Black and Kim 2012). This new governance data is reported in Table 1. Beginning with governance variables, board independence in considered. Vallascas et al. (2017) show that an increase in board independence leads to more prudent risk-taking. External directors without strong inside connections can moderate agency conflicts (de Andres and Vallelado 2008;Switzer and Wang 2013). The percentage of Non-Inside Directors on the board is thus used in the next estimations. Risk management is central to the business of banking (Stulz 2015;Custódio and Metzger 2018). Regulators published guidelines for improved risk governance, including the importance of the risk committee, the use of risk appetite frameworks and experienced and independent CROs (FSB 2013, OCC 2014, Federal Register Federal Register. 2014a, b and Basel 2015. The impact of monitoring is incorporated by adding these governance variables. The existence of a board-level Risk Committee provides a nexus of risk-based communication (Hines and Peters 2015;Holmquist 2014). Risk Committee is measured as one (or zero) dummy upon the existence of this forum (Hines and Peters 2015). Establishing firm-wide risk appetite levels is an important role of the Risk Committee (Sabato 2009;Gontarek and Bender 2018). Bank Director reports that 94% of US banks with assets greater than $10 billion validate that establishing risk appetite is a key aim of the risk committee. The adoption of board level Risk Appetite frameworks is collected from Risk Committee charters, generating a one (or zero) dummy variable. Gontarek and Belghitar (2018) find a robust relationship for risk governance mechanisms and lower risk-taking.
The final two risk governance variables relate to the strength of the Chief Risk Office (CRO) to pursue a risk oversight agenda. The Federal Register (2014a and b) define the need for covered US BHCs to name a CRO to provide independent monitoring of risk profiles. 13 Two new CRO-related variables are thus introduced. CRO Centrality is measured as the ratio of the CRO's total compensation to the CEO's total compensation in order to measure the relative power of the CRO (Ellul and Yerramilli 2013). The final risk governance variable is CRO Tenure, measured as the number of years the CRO worked for the BHC. The Federal Register (2014b, p. 17289) indicates that the CRO shall have experience in identifying, assessing, and managing risk exposures of large complex firms and tenure is one means to proxy this standard.
Once more, the same SIFI and non-SIFI sub-samples are examined to ascertain the role that varying intensity levels of monitoring may play in curtailing the agency costs associated with Duality. While the SIFI and non-SIFI sub-samples each exhibit Duality, they surprisingly exhibit different levels of risk governance adoption.
The baseline regressions are now re-estimated with the above new governance-related controls in Table 9, following the same model set-up used above. 14 Models 1-5 report the findings for Duality in more regulated BHCs in Table 9. Duality for all models in this suite of regressions is statistically non-significant to risk-taking, save Tier 1. The results for Tier 1 may be driven by greater regulatory capital requirements demanded by regulators. 13 A covered BHC for the purpose of heightened risk governance is a BHC with assets of $50 billion or more (Federal Register 2014a and b). 14 If these variables are added instead to the full sample and re-estimated, Duality once again is robustly related to BHC risk-taking, with a 5% relation to NPLs, Tier 1, and the Z-score and one per cent related to Tail Risk in un-reported results to conserve space. Duality records a ten per cent relation to lower levels of BHC efficiency in this case as well.

Table 8
Baseline estimations. bhc risk-taking determinants: horserace examination (SIFI vs non-SIFI)-Baseline Model   Table 9 also reports the same analysis for non-SIFIs across Models 6-10. As before, the coefficients for Duality remain positive and significant in Panel B for NPLs, Tier 1, Tail Risk and the Efficiency Ratio. A further interesting observation in Panel B is that lesser levels of certain risk governance mechanisms (i.e., Risk Appetite and CRO Centrality, for example) are significant and significantly related to risk-taking measures, as evidenced by their negative co-efficient values. Table 9 presents further evidence of the substitution effect of internal monitoring in curtailing excessive risk-taking, even when Duality is observed in Panel A. BHCs that are subject to greater levels of monitoring intensity no longer exhibit a significant relationship with NPLs, Tail-Risk and Efficiency measures. These results are consistent with Vallascas et al. (2017) who analyse growing board independence levels for an international sample of banks and note that banks under heavier regulation opt for greater risk-oversight and report lower risk-taking measures. It is noteworthy in Table 9 that BHCs that are subject to relatively lower levels of monitoring intensity continue to report a similar positive robust relation between Duality and risk-taking, as before. This is a significant finding which resonates with governance substitution theory noted in the literature (Krause et al. 2014;Wang et al. 2019;Rediker and Seth 1995), indicating that robust board governance structures can provide effective oversight even if Duality is employed as a governance structure.

Conclusion and discussion
A controversial issue commonly debated is whether or not a bank CEO should also hold the title of Chairman (Larcker and Tayan 2016). US BHCs are an important industry sector to assess this issue given its systemic risk considerations and the practice of this governance structure, unlike certain other jurisdictions around the world. Theory argues that the separation of the CEO and Chairman roles results in limited monitoring (Grove et al. 2011). An independent board Chairman constructively challenges the CEO (Tonello 2011) and strengthens governance checks and balances (Basel 2015). Consistent with Vallascas et al. (2017), Li and Roberts (2018) and Elamer et al. (2018), this study presents evidence that boardroom structure matters to risk-taking in financial institutions.
This research reports a robust positive relation between Duality and risk-taking across a battery of tests. It also examines this governance structure to find a consistent relation with lower efficiency; that it, BHCs managed by CEO Chairman appear on average, to be less efficient, thus potentially generating a feedback loop with adverse risk-taking incentives (Fiordelisi et al. 2011). Notwithstanding its predictive power for NPLs, Tier 1 capital, Tail Risk and efficiency, Duality is not a predictor for the Z-score, possibly as this measure does not observe weakening earnings or capital trends following the significant TARP and support programs instituted by authorities (Chiaramonte et al. 2016).
Is Duality bad for effective corporate governance of banks? The answer may be it depends in part on the strength of interactions of other monitoring mechanisms in place.
Across this study, Duality is associated with a greater risk-taking as noted in baseline and lagged estimations, 2SLS, 3SLS, dynamic panel data and other empirical settings. Consistent with Chen and Lin (2016), Tang (2016) and Lu and Boateng (2018), when Duality exists, an important balancing tool to curb agency conflicts is removed and board independence may be jeopardized which can lead to greater risk-taking incentives. As noted by de Haan and Vlahu (2015) and Hardwick et al. (2011), one possible explanation Table 9 BHC risk-taking determinants: horserace examination (SIFI vs non-SIFI)-extended model  for these findings is that Duality may impact boardroom communication and disrupt freeflow of information, impacting effective risk oversight.
This research extends its findings to also present evidence that a balance for effective risk-taking appears to be restored by the imposition of other monitoring activities. Specifically, this study next delimits BHCs that are subject to lighter regulation intensity from those BHCs which are subject to greater monitoring intensity. In this round of examinations, the earlier positive relation between Duality and risk-taking continues as before for BHCs with lower monitoring standards. However, the robust association between the CEO Chairman role and risk-taking measures completely dissipates for BHCs that embrace heightened monitoring. These results are consistent with Akhigbe et al. (2015) who examine larger financial institutions (which are often subject to greater regulation) and experience lower degrees of discretionary risk-taking. This evidence indicates that agency costs related to Duality may be offset by other effective internal and external monitoring mechanisms, which correct imbalances which may otherwise occur (Misangyi and Acharya 2014).
The contrasting view presented by Pi and Timme (1993, page 529) indicates "for those banks where the CEO is also Chairman of the board, internal monitoring devices may not be as effective as envisioned in the literature. Consequently, Chairman-CEOs may be less inhibited from engaging in non-value maximizing behaviour".
However, the evidence presented in this research setting suggests otherwise. Regulators require firms to adopt effective corporate governance structures in order to promote safety and soundness. Non-value maximizing and excessive risk-taking behaviours may be curbed by regulatory initiatives as well as enhanced internal monitoring. As noted by Lu and Boateng (2018), the board's monitoring responsibility is to scrutinize managerial actions to reduce harmful behaviours, including excessive risk-taking. The evidence presented in this paper indicates that BHCs managed by a CEO Chairman that embrace other forms of intense monitoring can realise the best of unity of command (originating from Duality) without unwanted agency costs that might otherwise plague such governance structures. This is a contribution to the debate on corporate governance of banks.
Several limitations exist with respect to these findings. As much of this analysis relies on a cross-sectional design, caution should be taken before inferring any causal relations between the variables, notwithstanding the series of robustness tests undertaken herein. Being US focused, the findings may not be generalizable in other jurisdictional contexts; further international samples could be collected to examine this issue. In terms of further research, examining the impact of Duality and a broader set of BHC performance (rather than risk variables) and a related channels analysis would contribute to the literature domain for bank corporate governance. Also, examining the risk cultures of banks that are driven by governance structures such as Duality would be highly useful to practitioners who are now focused on conduct risks (Sheedy and Griffin 2017). Lastly, considering the role of the lead or senior independent director as a means to mitigate agency cost incentives would be interesting given a number of BHCs that have adopted this role including JP Morgan Chase and Co and Goldman Sachs Inc. (Krause et al. 2014).
For fellow researchers, this study contributes to literature regarding the effects of corporate governance mechanisms and their substitutability to control excessive risk-taking. It provides evidence of the determinants of risk-taking and contributes to an emerging literature domain that argues that overall robust governance arrangements can overcome agency costs associated with a dummy variable defining Duality (Wang et al. 2019;Krause et al. 2014). These findings are consistent with Hardwick et al. (2011) who argue that corporate governance is best evaluated in its entirety given possible interactions between different monitoring features. While the combined CEO Chairman role is believed to restrict riskbased information flows and result in greater agency costs (de Haan and Vlahu 2015), the application of effective risk governance arrangements can realign risk-taking to more tolerable levels.
For practitioners including bank CEOs, board members and bank regulators, this research adds timely new evidence with respect to the on-going debate about optimal board structure and monitoring trade-offs. Regulators encourage firms to adapt their corporate governance arrangements to mitigate agency costs (Schäuble 2019). Practically, to the extent that governance mechanisms are costly, they can be partially substituted for one another ( (Duru etal. 2016;Enache and Hussainey 2019). This study also raises questions as to the appropriateness of relaxing US bank asset thresholds just as regulators are now refining their supervisory approach (Congressional Research Service 2017;FDIC 2018, NYT 2019. From a policy perspective, these results suggest that no single variable such as Duality can capture an issue as complex as financial institutions governance profiles (Byrd et al. 2012). Instead, the overall bundle of governance arrangements and external supervision or monitoring appears to be far more relevant to fully appreciate the trade-off of monitoring choices available to board directors (Rediker and Seth 1995). As noted by Misangyi and Acharya (2014;page 1702), no single monitoring mechanism can serve as a "silver bullet" in matters of corporate governance.
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Efficiency ratio
Measured as non-interest expense divided by revenues, following Lu and Boateng (2018), Akhigbe and Stevenson (2010) and Jacewitz and Kupiec (2012). This data is collected via Bloomberg. The Efficiency Ratio is a practical measure used in everyday banking, indicating the fraction of one dollar required to produce one dollar of revenue excluding funding costs, so lower values indicate more efficient banks.
NPLs % Non-performing loans (NPLs) is the annual USD amount of non-performing loans scaled by Total Loans in USD, following Ellul and Yerramilli (2013) and Zagorchev and Gao (2015). NPLs are an overall indicator of BHC quality and credit portfolio quality (OCC Director's Handbook 2016; Keffala 2017). Data collected via Bloomberg.

Dependent variables Definition and source
Tail risk Tail Risk is defined as the negative of the average return on the firm's stock over the five per cent worst days in a given year, following Ellul and Yerramilli (2013), Kashyap et al. 2008). The need to mitigate tail risk rises from excessive risktaking which is unresponsive to supervision and market discipline (Ellul 2015). Tail Risks can be the outcome of a failure of effective risk management systems at banks (SSG 2008(SSG , 2009). Tier 1 capital Tier 1 capital is the ratio of Tier 1 capital to a BHC's risk weighted assets. It is a measure of regulatory capital held against risk and is collected from Bloomberg, following Minton et al. (2014), and Beltratti and Stulz (2012). Z-score log And CAR Following Laeven andLevine (2009), Radic et al. (2012) and Vallascas et al. (2017), the Z-score for banks is defined as the sum of the mean value of the annual ROA plus the mean value of the Capital Asset Ratio or "CAR", divided by the standard deviation of annual ROA over the preceding three years. Following Belghitar and Clark (2012) Palia (2001) and Brick et al. (2006). This variable is used as an instrument in 2SLS regression following Yang and Zhou (2014). Skala and Weill (2015) and Ho et al. (2016) also employ CEO age to examine the determinants of NPLs, Tier 1 and the Z-score as also employed in this study. Collected via Bloomberg. CEO tenure Measures the tenure in years that a CEO has sat on the BHC board of directors, either as a CEO or in any other role (such as an independent board member). These variable proxies the CEOs comfort and influence at the board. Li and Roberts (2018) evaluate CEO board membership and firm outcomes to find it a predictor for greater performance, notably in complex firms. Landier, Sauvagnat, Sraer and Thesmar (2013) measure a director's independence if they have been appointed before the current CEO. This data is collected via BoardEx. Duality A dummy variable with a value of one (or zero) if the CEO also is Chairman, following Hagendorff and Vallascas (2011); Yang and Zhao (2014) and Tang (2016).

CEO ownership
The total USD holding of BHC shares held by the CEO each year, whether awarded as part of a long-term incentive scheme or purchased voluntarily, following Aebi et al. (2012); Chung and Pruitt (1995) and Onali et al. (2016). CEO Ownership is collected from Bloomberg. The log value is used in all estimations.

Dependent variables Definition and source
CEO power index CEO Power is an index created by applying Principal Component Analysis (PCA) to four underlying CEO power variables and noted: CEO Recruited Inside is a dummy variable assigned 1 (otherwise 0) if the CEO directly preceding role was within the BHC (or not), following Pathan (2009). CEO Busyness is a variable the measures the number of total board memberships (including the BHC) held by the CEO, following Cooper and Uzun (2012). CEO Busyness can portray "endorsement benefits" as noted by Nguyen et al. (2015). CEO Education is dummy variable assigned a value of 1 (otherwise 0) if the CEO's educational credentials meets those defined by Güner et al. (2008). CEO Total Annual Compensation Mix (Larcker and Tayan 2017) is the total USD compensation reported for the CEO from salary, stock and other benefits as reported by Morningstar. All data collected via BoardEx unless otherwise noted. CRO centrality CRO Centrality is defined as the ratio of the CRO's total compensation, excluding stock and options, to the CEO's total compensation, following Ellul and Yerramilli (2013); Keys et al. (2009) and Bushman et al. (2018). CRO and CEO total compensation is collected using Morningstar. CRO tenure Measures the number of years a CRO has worked in that role at the BHC following Amoozegar et al. (2017). Tenure is used in governance studies for directors, CEOs and other executives to proxy experience (Tanda 2015;Booth et al. 2002 andSwizter andSahut 2015). Deposits % Measured as total deposits divided by total assets as collected from Bloomberg. Risk appetite % Existence of risk appetite arrangements at the BHC board levels is hand-collected from BHC risk committee charters collected on-line, following Gontarek and Belghitar (2018). This variable assigns a dummy one (zero) if the board must explicitly approve BHC risk appetite. Risk committee % This dummy is defined as the existence of a BHC board-level risk committee, as reported in BoardEx.

Appendix 3
Principal Component Analysis (PCA) 15 and CEO Power as an Alternative Specification This table reports the supplementary material associated with the creation of a CEO Power, a new variable which seeks to proxy the strength of the CEO as an alternative specification to in the baseline results to Duality. Four new variables 16 are collected and 15 PCA produces a new variable called CEO Power, which is made up of the components of the index. The newly formed variables, called principal components, are by construction orthogonally related and the first linear combination that explains the maximum variation in the variables (Lingel and Sheedy 2012). The above value of 0.3059 is noted for this measure. The first eigenvector defines the relevant weightings. The index that results facilitates the reduction in variables used to one measure. The weighting assigned to each index component is determined by the eigenvector. The benefit of PCA is it facilitates construction of the new CEO proxy variable without having to arbitrarily assign weightings to each variable. 16 CEO Power is an index created by applying Principal Component Analysis (PCA) to underlying CEO power variables, namely CEO Recruited Inside, CEO Busyness, CEO Education, and CEO Total Annual Compensation Mix. CEO Recruited Inside is a dummy variable assigned 1 (otherwise 0) if the CEO directly preceding role was within the BHC (or not). CEO Busyness is a variable the measures the number of total board memberships (including the BHC) held by the CEO. CEO Education is dummy variable assigned a value of 1 (otherwise 0) if the CEO's educational credentials meets those defined by Güner et al. (2008). CEO Total Compensation Mix is the total USD compensation reported for the CEO from salary, bonus, stock and other benefits including benefits as reported by Morningstar and discussed in Larcker and Tayan (2017). measured to produce the CEO Power variable, namely CEO Recruited Inside reflecting the strength of networks developed over time (Pathan 2009), CEO Busyness illustrating endorsement benefits as noted by Nguyen et al. (2015) and Cooper and Uzun (2012), CEO Education (Güner et al. 2008) and CEO Total Annual Compensation Mix (Larcker and Tayan 2017). All variables have been collected via BoardEx other than the final variable which was collected via Morningstar. The log value of this variable is employed in the model and all explanatory variables are lagged in this model as in the baseline model reported in Table 3