Accounting and Finance The effects of board gender diversity on a firm’s risk strategies Linda H. Chena , Jeffrey Gramlichb, Kimberly A. Houserb a Department of Accounting, College of Business and Economics, University of Idaho, Moscow, Idaho, Idaho, USA b Department of Accounting, Carson College of Business, Washington State University, Pullman, WA, USA Abstract We study whether board gender diversity (BGD) affects corporate risk strategies. Specifically, we investigate the association between BGD and firms’ reputation risk and financial risk. Using S&P data from 1997 to 2013, we find that BGD is negatively associated with tax avoidance, suggesting firms with gender-diverse boards are more cautious about potential reputation risks associated with aggressive tax strategies. However, we find that BGD is positively associated with firms’ financial risk. The combined findings illustrate that BGD aligns a firm’s risk exposure closer to risk-neutral shareholders’ preferences by reducing reputation risk exposure while enabling necessary financial risk exposure. Key words: Board composition; Gender diversity; Reputation management; Tax avoidance; Financial risk JEL classification: G12, G30, G32, G34 doi: 10.1111/acfi.12283 We thank Beau Barnes, Jennifer Brown, Marc Cussatt, Katharine Drake, Leslie Eldenburg, Lillian Mills, Debra Sanders, Andrey Simonov, participants in the 2016 AAA Annual Meeting, the 2016 AAA Western Regional Meeting, and the 2017 Forum for Economists International’s 9th Global Conference, participants in the University of Groningen Research Seminar, Washington State University Summer Accounting Research Camp, and University of Arizona Taxation Reading Group for their comments. © 2017 AFAANZ 2 L. H. Chen et al./Accounting and Finance 1. Introduction Gender-diverse groups now constitute a majority of the boardrooms of public companies in the United States and globally.1 When boards include female members, overall meeting attendance rates are higher, discussions consider a broader range of alternatives, deliberations are more inquisitive and apolitical, directors receive more equity-based pay, earnings are higher in quality and more conservative, and management oversight is stronger.2 Given these findings, researchers have compared the profitability, stock returns and firm values of firms overseen by mixed-gender and all-male boards, with mixed results.3 Focus on current financial performance, however, may be missing the point: an important role of the board is to encourage management to take appropriate risks while also to avoid risks that are unlikely to pay off for shareholders. In this respect, Hutchinson et al. (2015) document Australian evidence that board gender diversity (BGD) increases the association between total stock risk and return on assets. Thus, their evidence suggests that BGD is positively related to awareness of the risk/return relationship involved in many board decisions. The relationship between board gender diversity and risk is important to shareholders because shareholders bear the residual effects on investment value that result from management’s risky decisions. However, reputation and financing risks are also important to a broad set of stakeholders outside the realm of equity investors. Employees stake their livelihoods on the future of a firm, and board decisions pertaining to reputation and financing risks have profound effects on a firm’s employees. Unlike shareholders, employees cannot diversify their investments across a broad spectrum of firms. Like employees, customers and suppliers depend on a firm’s stability. We study whether gender differences in risk-taking affect corporate risk strategies by investigating the association between board gender diversity (BGD) and firms’ reputation risk and financial risk. If a gender-diverse board improves board monitoring and accountability (Adams and Ferreira, 2009; 1 Lee et al. (2015) report that in 2015 73.5 percent of 4,218 global firms in the MSCI Global Director Universe database have at least one woman the board, yet only 20.1 percent of boards have at least female board members. 2 Studies supporting these assertions, and others involving improved board work effectiveness related to BGD, include Abbott et al. (2012), Adams and Ferreira (2009), Bart and McQueen (2013), Daily and Dalton (2003), Francis et al. (2015), Gul et al. (2011), Larcker and Tayan (2013), Simpson et al. (2010), Singh (2008), Srinidhi et al. (2011). 3 See Carter et al. (2003, 2010), Adams and Ferreira (2009), and Erhardt et al. (2003). Low et al. (2015) provide further elaboration. SEC Commissioner Mary Jo White cited some of these findings in a November 2015 speech espousing the benefits of genderdiverse boards (White, 2015). © 2017 AFAANZ L. H. Chen et al./Accounting and Finance 3 Simpson et al., 2010; and Post and Byron, 2015), mitigates the tendency towards groupthinking (Larcker and Tayan, 2013), incorporates a broader scope of perspectives into decision-making processes (Watson et al., 1993; Williams and O’Reilly, 1998; and Daily and Dalton, 2003), and results in higher levels of complex moral reasoning by incorporating ethical, environmental and societal responsibilities (Lamsa et al., 2008), then we expect to find a negative association between BGD and firms’ reputation risk. A good reputation permits a company ‘to attract resources, enhance its performance, and build competitive advantage’ while a bad reputation can alienate a range of stakeholders (Ditlev-Simonsen and Midttun, 2011).4 A firm loses its good reputation when it fails to meet stakeholders’ reasonable expectations of performance and behaviour. The possibility of such failure is referred to as reputational risk (Atkins et al., 2006). Loss of reputation can destroy brand confidence among customers, invite closer scrutiny from regulators, impair financial metrics such as revenue and earnings (Deloitte, 2014) and cut a firm’s share price (Atkins et al., 2006).5 Given these costs to a range of stakeholders, a key role of the board of directors is to monitor and manage its reputational risk. Accordingly, the composition of a firm’s board is critical to fulfilling this role. Survey evidence indicates that managers are concerned about their firms’ reputation risk, defined as ‘the range of possible gains and losses in reputational capital’ (Fombrun et al., 2000). Among large-firm corporate executives, 87 percent indicate that reputation risk is more important than any other strategic risk, and 88 percent of them report that their firms explicitly manage reputation risk (Deloitte 2014). If managing reputation risk is important, then leadership in the boardroom, where the tone is set, should be imperative. Our study builds upon previous findings in the following ways. Reputation risk encompasses a wide range of normative expectations such as corporations’ image, standing, prestige and goodwill that stakeholders hold their firms accountable for (Shenkar and Yuchtman-Yaar, 1997). Prior studies have established that BGD improves corporate reputation by documenting a positive association between BGD and corporate citizenship (Bernardi and Threadgill, 2010; and Zhang et al., 2013). While taking into consideration overall corporate citizenship scores as one type of comprehensive corporate reputation measure, we add to existing studies of reputation risk by 4 According to Deloitte (2014), “. . .a company’s reputation should be managed like a priceless asset and protected as if it’s a matter of life and death, because from a business and career perspective, that’s exactly what it is.” 5 More than 25 percent of the collective value of S&P 500 firms is attributed to reputation (Cole, 2012). Thus, a firm’s reputation is an economically important asset. Loss of customer trust can result in decreased sale; loss of employee trust can lead to poor morale and impaired product or service quality; loss of investor trust can result in reduced share prices and a higher cost of equity (Atkins et al., 2006). © 2017 AFAANZ 4 L. H. Chen et al./Accounting and Finance investigating a special type of reputation consideration, namely tax planning strategies, to avoid/reduce tax liability. Prior research also demonstrates that firms do not take advantage of all of the tax planning strategies that would allow them to reduce tax liability (Desai and Dharmapala, 2006; Blaylock, 2016; and Goh et al., 2016). Shackelford and Shevlin (2001) and Weisbach (2002) were among the first to question why firms do not take full advantage of the tax planning strategies available to them, which Graham and Tucker (2006) refer to as the ‘undersheltering puzzle’. The reason for the ‘undersheltering puzzle’ is evidenced by Graham et al. (2014), which reveals that 72 percent of tax executives of publicly traded firms cite reputational concerns as important constraints to the extent they engage in aggressive tax planning strategies. We are therefore convinced that a better understanding of the effect of BGD on firms’ tax planning/avoidance strategies can help us better understand firms’ reputation risk management. In particular, if both corporate citizenship and tax planning strategies are forms of corporate reputation risk management, then what is the incremental effect of each? We measure reputation risk using three measures of tax avoidance: effective tax rate, effective current tax rate and effective cash tax rate (Dyreng et al., 2008). Dyreng et al. (2016) note that the term ‘tax avoidance’ encompasses a wide scope of tax reduction activities, ranging from benign strategies such as taking advantage of the accelerated depreciation expense deduction, which is allowed by IRS code, to aggressive tax planning strategies such as using tax shelters, which under certain circumstances, might not be upheld under the court of law. Using effective tax rates as reputation measures, we are able to use an inclusive sample without limiting the sample to certain specific types of aggressive tax strategies. Next, we study whether gender differences in risk-taking affect firms’ financial risk. Financial risk is defined as a combination of long-term and shortterm liquidity and insolvency risks that are unrelated to current operating performance.6 These risks reflect board decisions about how to provide the capital needed to support the firm’s investments and operations. We find that financial distress scores (Altman, 1968; Ohlson, 1980; and Zmijewski, 1984) are the measures that most closely resemble the financial risk we intend to capture. However, financial distress scores encompass weights not only on short-term and long-term liquidity and solvency measures, but also include profitability (loss) measures. We therefore construct financial risk measures by putting zero weights on profitability measures from initial financial distress scores (Altman, 1968; Ohlson, 1980; and Zmijewski, 1984).7 6 Coles et al. (2006) also allude to other firms’ strategic risks such as R&D and longterm investments. We control for these strategic risks exposure in our analyses. 7 If we use original financial distress scores based on Altman (1968), Ohlson (1980), and Zmijewski (1984), our results remain the same, but modified scores better reflect financial risk than original scores. While using the modified scores in our analyses, we also control for profitability. © 2017 AFAANZ L. H. Chen et al./Accounting and Finance 5 We examine S&P firm data for the period of 1997–2013 while controlling for known determinants of reputation risk8 (i.e. tax avoidance) and financial risk (i.e. modified bankruptcy risk). We use three alternative measures to capture BGD, namely a female board presence dummy variable, the proportion of female board members and the proportion of female key committee members. We find that BGD is negatively associated with reputation risk and positively linked with financial risk. We deem this as evidence supporting the view that firms with gender-diverse boards are more concerned with potential reputation loss caused by aggressive tax avoidance strategies than all-male boards are. On the other hand, our evidence shows that BGD is positively linked to financial risk, consistent with the notion that gender-diverse boards better align the interests of managers and shareholders. Together, we view the results as consistent with gender-diverse boards being more aware of the various risks that a firm faces. Next, we address possible endogeneity concerns. First, we want to estimate the impact of BGD on both tax avoidance and financial risk. It is likely, however, that the two estimations may affect each other. We address this concern using a two-stage least-squares estimation approach, that is estimating the two regressions as a combined system. More importantly, as BGD is likely to be endogenously determined and associated with firm characteristics, we explicitly treat the BGD variable as an endogenous variable and identify possible determinants of BGD as instrumental variables. Following prior literature, we use corporate citizenship (Bernardi and Threadgill, 2010; and Zhang et al., 2013), size, investment opportunity set (Gaver and Gaver, 1993; Baber et al., 1996; and McGuire et al., 2014) and market pressure (Myers et al., 2007; and McGuire et al., 2014) as likely determinants of BGD. We find that the results from two-stage least-squares estimation while treating BGD as endogenous are consistent with our baseline results: BGD is negatively associated with tax avoidance and positively associated with financial risk. Our findings help resolve concerns with tokenism, as we demonstrate that BGD has real impact on firms’ risk strategies by reducing firms’ reputation risk exposure while increasing firms’ financial risk exposure. In addition, we show that female risk aversion itself does not necessarily translate to overall firms’ risk reduction. On the contrary, our results suggest that as not all risk exposures are the same, BGD helps align firms’ risk exposure to shareholders’ preferences along different risk dimensions. Better corporate governance is attained via BGD by improving risk preference alignment between a firm and its shareholders. To further address the possible endogeneity concerns caused by a loop of causality, we investigate how current period change of BGD is associated with future period change of tax avoidance and financial risk. The results from the 8 While controlling for alternative reputation risk measure, namely corporate citizenship score. © 2017 AFAANZ 6 L. H. Chen et al./Accounting and Finance two-stage least-squares estimation while treating change of BGD as an endogenous variable is consistent with prior findings: the increase in female board presence during the current period is negatively associated with next period change of tax avoidance but positively associated with next period change of firm financial risk exposure. We acknowledge that we are not able to rule out the possibility that our findings are consistent with the notion that female board members are seasoned corporate professionals. In addition to their business knowledge, experience and expertise, female board members may not be as risk averse as the average female population. However, this plausible explanation for our findings does not compromise our key conclusion that BGD improves corporate governance, which is desirable on any front. The remainder of this paper is organised as follows: Section 2 provides literature background and hypotheses development; Section 3 explains models, variable construction and data sources; Section 4 discusses results and interprets findings; Section 5 summarises our conclusions. 2. Literature review and hypotheses development 2.1. The effect of board gender diversity on corporate governance Prior research has alluded to the possible impact of BGD on corporate governance, and, as follows, on decision-making processes by suggesting that (i) gender-diverse boards serve as better monitors of management, (ii) BGD improves decision making processes and outcomes, and (iii) women board members are generally more concerned with ethics than men are. BGD can improve board monitoring and accountability. Women directors are more likely than men to be independent-minded. Simpson et al. (2010) argue that women board members are more likely to be non-employees, are less likely to have gained their director position because of their background as managers and are therefore less likely to be beholden to management. Further evidence suggests that female directors exercise their independence through their service on audit, governance and nominating committees by promoting better meeting attendance and holding managers accountable for their performance (Adams and Ferreira, 2009; and Post and Byron, 2015). Earnings better reflect economic performance when boards are genderdiverse. Specifically, BGD is positively related to earnings quality (Srinidhi et al., 2011) and analyst forecast accuracy (Gul et al., 2013). The relationship between earnings and stock prices is stronger when gender-diverse boards oversee them (Gul et al., 2011). Abbott et al. (2012) find that firms with gender-diverse boards are 38 percent less likely to restate financial statements. Evidence also suggests that female executives apply accounting methods that are more conservative and produce higher quality accruals (Barua et al., 2010). © 2017 AFAANZ L. H. Chen et al./Accounting and Finance 7 2.1.1. BGD and the quality of board decisions Diverse groups tend to make better decisions because they counter the chance of the groupthink phenomenon that can occur among homogenous groups (Daily and Dalton, 2003; and Larcker and Tayan, 2013). Groupthink is particularly problematic in boardrooms because they are often filled with likeminded board members (Matsa and Miller, 2013), and diversity of opinion is especially important for board’s monitoring of management on behalf of shareholders (Aguilera et al., 2008). Corroborative data further support this view (Jehn et al., 1999). In decision-making, women tend to provide a more detailed critical analysis of the issues presented (Milliken and Martins, 1996). More specifically, women generally balance multiple factors in their decisions and consider a wider variety of stakeholders’ interests (Konrad and Kramer, 2006). This diversity in perspective leads to improved decision-making processes (Watson et al., 1993; and Daily and Dalton, 2003), and to superior decisions (Williams and O’Reilly, 1998). 2.1.2. BGD and ethical decisions BGD likely leads to board decisions that reflect strong consideration of ethical implications, resulting from significantly higher levels of complex moral reasoning among women directors (Bart and McQueen, 2013). This result is consistent with findings that, relative to males, females generally (i) exhibit higher ethical standards than males do (for examples, see Peterson et al., 2010; Roxas and Stoneback, 2004; Weeks et al., 1999), (ii) show greater ethical sensitivity (Simga-Mugan et al., 2005), (iii) place more weight on ethical, environmental and societal responsibilities (Lamsa et al., 2008), (iv) make more altruistic decisions (Andreoni and Versterlund, 2001) and (v) avoid engaging in unethical behaviour when faced with organisational pressures to do so (Wahn, 2003). Franke et al. (1997) use meta-analysis to document that women generally are more likely than men to perceive hypothetical business practices as unethical. In summary, prior literature on corporate governance, business ethics and management has shed light on why board diversity in general, and BGD, in particular, can improve corporate governance and board accountability. Next, we focus on two areas of firms’ strategies, namely tax avoidance and financial risk, and elaborate on how BGD is likely to affect both types of strategies. 2.2. Gender-diverse boards and tax avoidance A firm’s positive reputation is a valuable economic asset (Shapiro, 1983). More specifically, Karpoff (2010) defines business reputation as: The present value of the improvement in net cash flow and lower cost of capital that arises when the firm’s counterparties trust that the firm will uphold its explicit and implicit contracts, and will not act opportunistically to their detriment. © 2017 AFAANZ 8 L. H. Chen et al./Accounting and Finance Like other assets, reputation can be invested in and developed in order to command higher prices in the product market. Roberts and Dowling (2002) show that these higher prices are able to produce sustained superior financial performance. The rewards of higher prices lead firms to develop performance assurance efforts that, circularly, build even stronger reputations (Klein and Leffler, 1981). Unlike other assets, however, a positive reputation is strategic in the sense that competitors cannot easily imitate it (Sim~ oes and Dibb, 2008). In the financial arena, positive reputations lead to lower costs of equity capital (Cao et al., 2015) and debt (Anginer et al., 2015). Firms are concerned about reputation risk (i.e., possible impairments to the value of their reputation). Among large-firm corporate executives, 87 percent report that reputation risk is more important than any other strategic risk, and 88 percent report that their firms explicitly manage reputation risk (Deloitte, 2014). If managing reputation risk is important, then leadership in the boardroom, where the basis for corporate governance is established, should be imperative. As BGD is positively linked to greater board focus on ethics, to better decision-making processes, and to improved monitoring of management, firms with gender-diverse boards exhibit characteristics consistent with reducing reputation risk. When a board exerts more effort addressing ethical issues (Bart and McQueen, 2013), ethical firm behaviour is a likely result. Generally, a firm’s reputation is enhanced by actions that reflect moral principles such as honesty, fairness and individual rights. Beyond a greater ethical focus, BGD is associated with better decision-making processes, which then increases the likelihood that the board will respond with nuance to ethical issues (Bart and McQueen, 2013). Finally, because gender-diverse boards serve as better monitors of management, management under the guidance of a gender-diverse board is more likely to result in the execution of the board’s decisions (Daily and Dalton, 2003; Aguilera et al., 2008; and Larcker and Tayan, 2013). Academia recommends different forms of protection against corporate reputation risk. For example, Atkins et al. (2006, p. 58) argue that firms should be committed to social responsibility as protection against reputation risk. Following this logic, a firm that expends relatively greater resources on CSR activity should face less reputation impairment loss when key stakeholders are alienated (Fombrun, 1996). Alternatively, Murray (2004) recommends that firms appoint non-executive directors with the active and independent role of guarding the firm’s reputation. These forms of protection reveal management’s concern about reputation risk but may not reflect its underlying attitude towards the causes of reputation risk. This view is supported by Davis et al. (2016) who find the existence of a substitution effect between corporate social responsibility and corporate tax payments. To address the question of whether BGD affects reputation risk, we examine the effects of BGD on tax avoidance. We choose tax avoidance to measure reputation risk because it provides insight into the trade-off that boards make © 2017 AFAANZ L. H. Chen et al./Accounting and Finance 9 between the benefits of saving cash taxes (and higher earnings per share) versus the downside of reputation impairment. As mentioned earlier, 72 percent of tax executives of publicly held companies cite reputation concerns as constraints to aggressive tax planning strategies (Graham et al., 2014) that would otherwise be available. Further, firms staffed by reputation-concerned tax executives indicate higher cash effective tax rates than firms that have reputation-unconcerned tax executives (Graham et al., 2014). Executive concern about the reputation effects of low tax payments is well founded. Hanlon and Slemrod (2009) demonstrate that stock prices decline upon the release of news about a firm’s involvement in tax shelters; moreover, the stock price decline is greater when the firm’s cash effective tax rate is perceived as low, which suggests a penalty for firms that are not paying their ‘fair share’ of tax. Because of concern for costly reputation risk associated with tax avoidance, and because women are able to consider multiple ethical issues simultaneously and improve board governance, we expect firms with gender-diverse boards to have higher tax rates. Signalling theory provides an alternative view for how positive reputations can be applied to board selection. It argues that firms with underlying reputation risks are more likely to appoint a woman to the board (Fombrun and Shanley, 1990; Basdeo et al., 2006). The notion is that placing a woman on the board evidences the firm’s concern for risk issues, such as accounting quality, tax aggressiveness and corporate citizenship, all of which could impair firm reputation. Under the signalling hypothesis, the woman board member represents meaningless tokenism that should have no bearing on board decisions (Kanter, 1977). If women on boards are merely appointed to offset reputation risks, we would expect their firms to exhibit higher, not lower, underlying reputation risks. Indeed, to the extent that a firm believes it is ‘protected’ by having a woman on the board, the firm may engage in even riskier behaviour typical of the type of moral hazard ramification. Therefore, the direction in which BGD affects firm reputation risk is not clear. Empirically, Gallemore et al. (2014) find no evidence that firms or executives incur reputation costs when they are accused of involvement with tax shelters. Thus, we offer the following null hypothesis: H10: There is no relationship between the presence of BGD and the extent of tax avoidance. 2.3. Board gender diversity and financial risk Managers are likely to be risk-averse in order to protect their firm-specific human capital (Smith and Stulz, 1985) and maintain their consumption of perquisites (Williams, 1987). On the other hand, diversified stock investors facing limited liability are likely to prefer more risky endeavours at the firm level, especially when investors are protected against wealth-extracting © 2017 AFAANZ 10 L. H. Chen et al./Accounting and Finance managers (Himmelberg and Quadrini, 2002; Himmelberg et al., 2002; Shleifer and Wolfenzon, 2002; and Castro et al., 2004). As a result, managers may choose to avoid high-risk positive net present value projects while their investors would want their firm to take on these projects (Coles et al., 2006). To address these mismatched risk preferences, finance theorists argue that managers should be given payoff structures that provide managers with incentives to accept additional firm risk (Jensen and Meckling, 1976; Leuz et al., 2003; and John et al., 2008). Indeed, bonus and stock-based compensation schemes now in widespread use provide incentives for managers to accept greater firm-level risks than they would otherwise choose. Some evidence suggests that BGD may help align the risk preferences of shareholders and managers. Adams and Ferreira (2009) show that gender-diverse boards receive a larger proportion of equity-based compensation than genderhomogenous boards do. Perhaps more important are the boardroom dynamics and decisions that result when women are on the board. For example, an examination of the boards of subprime lenders led Muller-Kahle and Lewellyn (2011) to observe that, because gender diversity increases the range of viewpoints and modes of decision-making, gender diversity is especially beneficial when risky strategic choices are being evaluated. Firm-level gender diversity is also positively associated with the likelihood of undertaking innovation (Østergaard et al., 2011), and innovation is known to be inherently risky (Treacy, 2004). Finally, gender-diverse banks appear to take more risks than non-gender-diverse banks (Adams and Ragunathan, 2013; and Berger et al., 2014). Taken together, these findings suggest that BGD can help align the preferences of inherently risk-averse managers with shareholders who seek riskier projects. On the other hand, there are legitimate reasons why gender-diverse boards may not exhibit better alignment between the risk preferences of investors and managers. First, BGD could lead to more dysfunctional boards (Groysberg and Bell, 2013; and Triana et al., 2014). Second, some academics argue that women can only be effective on boards when sufficient numbers of women are present because having only one or two women on a board can result in tokenism (Torchia et al., 2011). Thus, in cases where there are only one or two women on board, effective board control could become concentrated within a smaller, homogenous group of males—a result that is not expected to support risk alignment. Finally, psychological and sociological research indicate that women are known to be, on average, slightly more risk averse than men (Croson and Gneezy, 2009; and Francis et al., 2014). Therefore, based only on the mean of individual board member risk tolerances, gender-diverse boards may be more risk averse than male-only boards. If individual risk preferences, and not the ethics or monitoring effects of gender diversity, determine board decisions, then it is possible that the dispersion between investor and manager risk tolerance levels is greater among firms with gender-diverse boards. Therefore, it is not clear in which direction BGD affects firm financial distress risk. As follows, we offer the following null hypothesis: © 2017 AFAANZ L. H. Chen et al./Accounting and Finance 11 H20: Firms with gender-diverse boards exhibit no difference in financial risk than do firms with gender-homogenous boards. 3. Models, variable construction and data 3.1. Models and variable construction We use the following model to test H1, or whether BGD is associated with tax avoidance: Tax Avoidancei;t ¼ a þ b1 BGDi;t þ b2 CSRi;t þ b3 Cashi;t þ b4 ROAi;t þ b5 Sizei;t þ b6 Leveragei;t þ b7 NOLi;t þ b8 DNOLi;t þ b9 FIi;t þ b10 EqInci;t þ b11 PPEi;t þ b12 Intangiblesi;t þ b13 R&Di;t þ b14 DiscAccruali;t þ b15 M=Bi;t þ b16 iOWNi;it þ ei;t ; ð1Þ for each year t and firm i, including year and industry indicator (2-digit SIC codes) variables. Standard errors are clustered by firm in order to address the problem of correlated residuals (Petersen, 2009). Three alternative measures are used to proxy for Tax Avoidance, namely effective tax rate, current effective tax rate and cash effective tax rate. Effective tax rate (ETR) is the sum of total tax expense (TXT) divided by the sum of pretax income (PI) over a 5-year rolling period from t-4 to t, akin to the approach used by Dyreng et al. (2008). Current effective tax rate (CurETR) is measured by the sum of current tax expense divided by the sum of pretax income (PI) from t-4 to t, where current tax expense is total tax expense (TXT) net of deferred income tax (TXDI). Cash effective tax rate (CETR) is the sum of income tax paid (TXPD) divided by the sum of pretax income (PI) over the years t-4 to t. For consistent direction interpretation, we use AvoidETR, AvoidCurETR and AvoidCETR as determinant variables which are (1)*ETR, (1)*CurETR and (1)*CETR respectively. To operationalise the measures of BGD, we use three alternative proxies, namely FemaleDummy, FemaleRatio and FemaleKeyboard, respectively. FemaleDummy is a dummy variable set to 1 if there are female board members in a given year, and 0 otherwise. FemaleRatio is the ratio of total female board members over total board members. FemaleKeyboard is the total count of key board positions occupied by female board members; key board positions include Corporate Governance Committee, Compensation Committee, Audit Committee and Nomination Committee. Because we are using Tax Avoidance as a measure for reputation risk, we need to include another variable that can also be used as alternative corporate reputation measure. Zhang et al. (2013) has established the link between BGD and corporate citizenship. We include CSR as an alternative measure of © 2017 AFAANZ 12 L. H. Chen et al./Accounting and Finance corporate reputation. CSR is a corporate social responsibility score that reflects total strengths minus total weaknesses across KLD’s six social rating categories. The measurement construct is similar to prior studies by Chatterji et al. (2009), Kim et al. (2012) and Hoi et al. (2013). The six social rating categories are corporate governance, community, diversity, employee relations, environment and product. Variables that are considered to be associated with firm tax avoidance (Hoi et al., 2013; and Francis et al., 2014) are included in our analysis. Specifically, NOL is net operating loss carryforward (TLCF) scaled by beginning balance total assets (AT).9 Change of net operating loss carryforward (DNOL) is the change of net operating loss carryforward (TLCF) scaled by beginning balance total assets (AT). FI is foreign income (PIFO) scaled by beginning-of-year total assets. We use EqInc, PPE, Intangibles, and R&D to capture equity income (ESUB), total net property, plant and equipment (PPENT), intangible assets (INTAN) and research and development expense (XRD), respectively, all scaled by beginning-of-year total assets (AT). In addition, we also include liquidity, profitability, size, leverage, earnings quality and growth opportunity measures. Liquidity measure Cash is the sum of cash and marketable securities (CHE) scaled by beginning total assets (AT). The profitability measure ROA is income before extraordinary items (IB) scaled by beginning balance total assets (AT). Size is the natural log of equity market value determined by multiplying the fiscal year end price of common stock (PRCC_F) by common share outstanding (SCHO). Leverage is total long-term debt (DLTT) scaled by beginning balance total assets (AT). To capture earnings quality, we use DiscAccrual, the estimated residual value of the performance-adjusted accruals model (Kothari et al., 2005). Growth expectation is measured by M/B, which is the equity market value defined above scaled by equity book value (CEQ). iOWN is the percentage of institutional holding of common shares outstanding. We use iOWN as a raw proxy for corporate governance. We consider the following model to test H2, whether BGD is associated with financial risk: Financial Riski;t ¼ a þ b1 BGDi;t þ b2 CSRi;t þ b3 Cashi;t þ b4 ROAi;t þ b5 Sizei;t þ b6 Leveragei;t þ b7 NOLi;t þ b8 DNOLi;t þ b9 FIi;t þ b10 EqInci;t þ b11 PPEi;t þ b12 Intangiblesi;t þ b13 R&Di;t þ b14 DiscAccruali;t þ b15 M=Bi;t þ b16 iOWNi;it þ ei;t ; ð2Þ for each year t and firm i, including year and industry indicator (2 digit SIC codes) variables. Again, standard errors are clustered by firm in order to address the problem of correlated residuals (Petersen, 2009). 9 Compustat variable names are shown in parentheses. © 2017 AFAANZ L. H. Chen et al./Accounting and Finance 13 As mentioned before, we refer to financial risk as both long-term and shortterm liquidity and insolvency risk. Therefore, financial risk is different from other strategic risk exposures such as R&D and other long-term investments (Coles et al., 2006). Although financial distress scores closely resemble the financial risk that we want to capture, the financial distress score models estimated by Altman (1968), Ohlson (1980) and Zmijewski (1984) capture two types of business risk, the first type is operational risk which is estimated by profitability and efficiency and the second type is financial risk which is estimated by both short-term and long-term liquidity and solvency. Therefore, in order to focus on pure financial risk, we need to eliminate the effect of operational risk from the original financial distress scores. As a result, Financial RiskA, Financial RiskO and Financial RiskZ are calculated based on the original coefficients in models of Altman (1968), Ohlson (1980) and Zmijewski (1984), respectively, which are measures of both short-term and long-term liquidity and solvency, but operational risk measures are excluded.10 As a result, we are able to use proxies for financial risk using the established yet-modified business risk measures. In order to maintain consistency with respect to results interpretation, we flip the signs of the original Altman (1968) model, hence, the higher the Financial RiskA, Financial RiskO and Financial RiskZ, the higher the financial risk. 3.2. Data We obtain board member data from RiskMetrics for the sample period available, 1997 to 2013. Financial reporting data are obtained from Compustat Annual Fundamental data. Corporate social responsibility data are obtained from MSCI, formerly known as KLD Research & Analytics and henceforth referred to as ‘KLD data’. Institutional holding data are obtained from the Thomson Reuters Institutional Holdings (13F) database. The price level index used to calculate the original Ohlson Score (Ohlson, 1980) is obtained from the Federal Reserve Bank of St. Louis website. All continuous variables used in regression analyses are winsorised at the top and bottom 1 percent levels of their cross-sectional distributions. Table 1 Panel A reports board member composition between 1997 and 2013. Overall, the ratio of female board members to male board members is roughly 1 to 9, but female board member presence has gradually increased during the sample period from 8.63 percent in 1997 to 14.46 percent in 2013. Thus, American corporate boardrooms remain dominated by male directors. Table 1 panel B reports board member composition across different firm sizes. Large firms tend to have higher proportions of female board members than smaller 10 We also use the original bankruptcy scores (Altman, 1968; Ohlson, 1980; and Zmijewski, 1984) in our analyses. The empirical results are consistent with modified measures. © 2017 AFAANZ L. H. Chen et al./Accounting and Finance 14 Table 1 Summary of board gender composition (1997–2013) Male Year Female % N N % 722 821 999 1,087 1,196 1,235 1,379 1,496 1,539 1,591 1,590 1,691 1,705 1,761 1,801 1,917 2,054 8.63 8.31 9.20 9.48 9.67 10.27 10.54 10.99 11.33 11.90 11.92 12.29 12.34 12.71 13.13 13.70 14.46 Panel A: Board gender composition by sample year 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 7,641 9,060 9,863 10,378 11,173 10,790 11,704 12,114 12,043 11,781 11,748 12,063 12,110 12,094 11,912 12,075 12,150 91.37 91.69 90.80 90.52 90.33 89.73 89.46 89.01 88.67 88.10 88.08 87.71 87.66 87.29 86.87 86.30 85.54 Male N Female % N % 11,927 5,106 6,025 1,526 14.54 11.63 8.53 8.15 Panel B: Board gender composition S&P size classifications S&P Large Cap 500 S&P Mid Cap 400 S&P Small Cap 600 Other 70,085 38,790 64,626 17,203 85.46 88.37 91.47 91.85 firms. For S&P Large Cap 500 firms, S&P Mid Cap 400 firms and S&P Small Cap 600 firms, female board membership levels are 14.54, 11.63 and 8.53 percent, respectively. However, the reasons behind greater gender diversity in large firms are undetermined at this point. Table 2 reports summary statistics beginning with distributional characteristics of tax avoidance measures, financial risk measures, BGD measures and control variables. Mean values for ETR, CurETR and CETR range from 0.362 to 0.370, although the medians are slightly lower for all three effective tax rate measures, indicating positive skewness for tax rates that may be due to small denominators for relatively few firms. The mean (median) Financial RiskA, Financial RiskO and Financial RiskZ are 3.500 (1.939), 1.439 (1.433) and 1.359 (1.316), respectively, suggesting a skewed distribution of the modified © 2017 AFAANZ Tax avoidance measures ETR CUR_ETR CETR Financial risk measures Financial RiskA Financial RiskO Financial RiskZ BGD measures FemaleDummy FemaleRatio FemaleKeyBoard Control variables CSR Cash ROA Size Leverage NOL FI EqInc PPE Intangible © 2017 AFAANZ 6.184 1.407 1.280 3.500 1.439 1.359 0.652 0.102 0.907 0.075 0.180 0.052 7.420 0.206 0.064 0.022 0.001 0.291 0.197 19,228 19,586 19,585 23,464 23,464 23,464 17,506 17,083 17,118 17,074 17,052 17,146 17,072 17,072 17,088 17,072 2.794 0.254 0.140 1.545 0.223 0.281 0.040 0.009 0.251 0.237 0.476 0.095 0.938 0.408 0.439 0.527 r 0.362 0.356 0.370 Mean 17,069 17,069 16,828 N Table 2 Summary statistics (1997–2013) 0.000 0.000 0.000 3.000 0.011 0.037 5.549 0.000 0.000 0.000 0.000 0.056 0.000 3.000 0.011 0.037 5.549 0.000 0.000 0.000 0.000 0.056 0.000 7.531 3.223 3.057 0.108 0.071 0.076 25% 0.000 0.000 0.000 7.531 3.223 3.057 0.108 0.071 0.076 10% 0.000 0.094 0.059 7.288 0.171 0.000 0.003 0.000 0.219 0.124 1.000 0.100 1.000 1.936 1.433 1.316 0.352 0.302 0.291 50% 1.000 0.244 0.102 8.429 0.306 0.032 0.034 0.000 0.386 0.298 1.000 0.167 1.000 1.000 0.615 0.540 0.391 0.365 0.373 75% (continued) 3.000 0.454 0.152 9.582 0.440 0.144 0.077 0.002 0.637 0.494 1.000 0.222 2.000 0.465 0.102 0.058 0.468 0.526 0.528 90% L. H. Chen et al./Accounting and Finance 15 © 2017 AFAANZ Mean 0.041 0.050 3.139 0.728 N 17,072 16,046 17,072 17,506 0.076 0.106 6.246 0.264 r 0.000 0.154 0.983 0.410 10% 0.000 0.154 0.983 0.410 25% 0.008 0.043 2.317 0.782 50% 0.054 0.002 3.709 0.899 75% 0.123 0.046 6.116 0.987 90% ETR is the sum of total tax expense (TXT) divided by the sum of pretax income (PI) over a 5-year rolling period from t4 to t. CUR_ETR is the sum of current tax expense divided by the sum of pretax income (PI) over the same 5-year rolling period, where current tax expense is total tax expense (TXT) net of deferred income tax (TXDI). CETR is the sum of income tax paid (TXPD) divided by the sum of pretax income (PI) over the 5-year rolling period from t4 to t. Financial RiskA, Financial RiskO and Financial RiskZ are calculated based on the original coefficients in models of Altman (1968), Ohlson (1980) and Zmijewski (1984), respectively, that are measures of both short-term and long-term liquidity and solvency, but excluding operational risk measures. FemaleDummy is a dummy variable set to 1 if there are female board members in a given year, and 0 otherwise. FemaleRatio is the ratio of total female board members over total board members. FemaleKeyboard is the total count of key board positions occupied by female board members whereas key board positions include Corporate Governance Committee, Compensation Committee, Audit Committee and Nomination Committee. CSR is the total strengths minus total concerns in KLD’s six social rating categories which are corporate governance, community, diversity, employee relations, environment and product, respectively. Female is a dummy variable which is set to 1 if there are female board members and 0 otherwise. ROA, NOL, DNOL, Cash, Leverage, FI and DSales, PPE, Intangible, EqInc and R&D are income before extraordinary items (IB), net operating loss carryforward (TLCF), change of net operating loss carryforward (TLCF), cash and marketable securities (CHE), and total long-term debt (DLTT), foreign income (PIFO), change of sales (SALE), total net property, plant and equipment (PPENT), intangible assets (INTAN), equity income (ESUB), and research and development expense (XRD), respectively, all of which are scaled by beginning balance total assets (AT). Size is the natural logarithm of equity market value – fiscal year end price (PRCC_F) multiplied by common share outstanding (SCHO). DiscAccrual is the estimated residual of the performance-adjusted accruals model (Kothari et al., 2005). M/B is the equity market value scaled by equity book value (CEQ). iOWN is the percentage of institutional holding of common shares outstanding. All continuous variables are winsorised at the top and bottom 1 percent of their cross-sectional distribution. R&D DiscAccrual M/B iOWN Table 2 (continued) 16 L. H. Chen et al./Accounting and Finance L. H. Chen et al./Accounting and Finance 17 Altman (1968) model and normal distribution for both modified Ohlson (1980) model and modified Zmijewski (1984) model. Among BGD measures, median of FemaleDummy is 1.000, indicating that at least fifty percent of the sample firm-years have at least one female board member. The mean of FemaleRatio is 10.20 percent, that is on average, with females making up 10.20 percent of boards. The mean of FemaleKeyBoard is 0.907; that is, on average, females occupy about one key board position per firm. Most importantly, there are sufficient variations with all three BGD measures. Mean (median) CSR is 0.075 (0.000), indicating that on average, a firm’s corporate social responsibility total strengths are more or less offset by total weaknesses across KLD’s six social rating. Table 3 reports univariate correlations between the variables. As expected, the three tax rate measures are positively correlated with each other, with correlation ranging from 0.581 to 0.800 (Pearson) and 0.502 to 0.697 (Spearman). The three financial risk measures are positively correlated, with correlation ranging from 0.474 to 0.925 (Pearson) and 0.748 to 0.906 (Spearman). Most importantly, the three BGD measures are highly correlated, with correlation ranging from 0.707 to 0.868 (Pearson) and 0.844 to 0.805 (Spearman). It is also worthwhile to note that CSR is positively correlated with all three BGD specifications (both Pearson and Spearman), which is consistent with the notion that gender diversity is positively correlated with corporate citizenship (Zhang et al., 2013). The correlations between control variables and variable of interest are mostly significant at 1 percent significance level, suggesting that it is necessary to include these control variables in regression analyses to avoid omitted variable concerns. Moreover, BGD measures are correlated with Cash, ROA, Size, Leverage, FI, Intangible, R&D and M/B, indicating that firm size, performance measures and firm financial characteristics are likely determinants of BGD. These variables should therefore be properly accounted for. 4. Results and discussion 4.1. Baseline results on BGD and tax avoidance Table 4 reports the base line results of H1, or whether BGD is associated with tax avoidance. For easier interpretation, we transform ETR, CurETR and CETR measures by multiplying each variable by (1) and label the transformed measures as AvoidETR, AvoidCurETR, and AvoidCETR respectively. Therefore, the higher AvoidETR, AvoidCurETR, and AvoidCETR, the higher tax avoidance is. The correlation coefficients of FemaleDummy, FemaleRatio and FemaleKeyBoard are all consistently negative and significant, providing preliminary evidence of the negative association between BGD and tax avoidance. Thus, H1 is rejected and a relationship between BGD and tax avoidance exists. The coefficients of CSR are not significant across three alternative tax avoidance measures, suggesting even if corporate citizenship is associated with tax avoidance, the results are subsumed by BGD measures in our analyses. In © 2017 AFAANZ © 2017 AFAANZ ETR (1) CUR_ETR (2) CETR (3) Financial RiskA (4) Financial RiskO (5) Financial RiskZ (6) FemaleDummy (7) FemaleRatio (8) FemaleKeyBoard (9) CSR (10) Cash (11) ROA (12) Size (13) Leverage (14) NOL (15) FI (16) EqInc (17) PPE (18) Intangible (19) R&D (20) DiscAccrual (21) M/B (22) iOWN (23) Table 3 Correlation matrices 0.624 0.581 0.037 0.068 0.073 .014 0.021 0.020 0.013 0.062 0.059 .027 .013 .059 .056 .015 .025 0.006 0.048 0.032 0.012 0.015 (1) 0.800 0.034 0.037 0.054 0.027 0.033 0.039 0.000 0.038 0.078 .010 .003 .051 .012 .022 .052 0.009 0.013 0.032 0.001 0.031 0.539 (2) 0.078 0.101 0.076 .007 0.008 .003 0.022 0.062 0.129 .138 .007 .029 .072 .007 .066 0.022 0.042 0.014 0.037 0.001 0.502 0.697 (3) 0.474 0.507 0.137 0.106 0.123 0.032 0.449 0.208 .109 .294 .050 .066 .025 .112 0.088 0.242 0.156 0.230 0.051 0.073 0.065 0.067 (4) 0.925 0.107 0.093 0.098 0.059 0.336 0.169 .210 .555 .127 .161 .006 .152 0.032 0.187 0.116 0.035 0.064 0.128 0.019 0.101 0.748 (5) 0.232 0.199 0.235 0.024 0.338 0.124 .095 .612 .081 .039 .023 .135 0.041 0.206 0.121 0.016 0.108 0.090 0.000 0.076 0.786 0.906 (6) 0.783 0.707 0.247 0.155 0.082 .340 .042 .043 .106 .020 .012 0.050 0.130 0.034 0.036 0.051 0.026 0.068 0.062 0.157 0.129 0.253 (7) 0.868 0.322 0.106 0.073 .295 .023 .030 .113 .003 .023 0.053 0.113 0.025 0.039 0.007 0.018 0.069 0.058 0.123 0.109 0.220 0.844 (8) 0.318 0.137 0.066 .369 .058 .040 .133 .015 .003 0.071 0.122 0.024 0.047 0.037 0.006 0.063 0.043 0.160 0.124 0.267 0.805 0.875 (9) .073 .002 .109 .111 .065 .069 .243 0.078 0.534 0.200 0.136 0.087 0.173 0.008 0.123 0.531 0.511 0.491 0.123 0.063 0.102 0.050 0.048 0.043 0.014 0.090 0.058 0.003 0.282 0.320 0.310 .016 0.065 .277 .024 .017 .159 .002 .080 0.006 0.103 0.096 0.070 0.051 (11) (10) .253 .125 .311 .248 .125 .041 0.057 0.329 0.076 0.120 0.085 0.028 0.001 0.098 0.538 0.258 0.234 0.049 0.050 0.043 0.085 0.184 (12) 18 L. H. Chen et al./Accounting and Finance © 2017 AFAANZ 0.023 0.048 .011 0.302 0.258 0.072 0.080 0.024 0.002 0.046 0.070 0.002 0.616 0.637 0.709 0.100 0.070 0.109 0.040 0.469 0.189 0.094 0.071 0.020 0.123 0.161 0.175 0.141 0.343 0.306 0.367 0.206 0.026 0.331 0.048 0.115 0.368 0.057 0.062 0.128 .011 0.107 0.197 0.084 (14) (13) 0.044 0.159 0.069 0.029 0.271 0.043 0.028 0.021 0.137 0.123 0.134 0.150 0.055 0.069 0.005 0.015 0.021 .011 0.086 0.189 .014 0.054 (15) 0.032 0.048 0.050 0.078 0.101 0.088 .013 0.195 0.018 0.075 0.132 0.134 0.008 0.129 0.118 0.146 0.132 0.107 0.273 0.360 0.024 0.085 (16) 0.031 0.007 0.071 0.015 0.009 0.013 0.022 0.001 .010 0.122 0.099 0.161 0.101 0.071 0.107 .018 0.132 0.049 0.161 0.114 0.006 0.118 (17) 0.248 0.214 0.129 0.022 0.051 0.039 0.065 0.021 0.166 0.202 0.185 0.061 0.028 0.044 0.027 0.379 0.069 0.062 0.285 0.143 0.074 0.103 (18) 0.037 0.134 .014 0.094 0.018 0.021 0.009 0.113 0.073 0.101 0.103 0.106 0.134 0.000 0.135 0.012 0.159 0.184 0.116 0.165 0.053 0.331 (19) 0.204 0.098 0.014 0.268 0.022 0.171 0.292 0.277 0.249 0.095 0.092 0.092 0.130 0.443 0.024 0.068 0.235 0.144 0.235 0.083 0.306 0.048 (20) 0.085 0.030 0.026 0.042 0.086 0.253 0.174 0.172 0.037 0.022 0.021 0.094 0.260 0.168 0.135 0.173 0.039 0.120 0.064 0.211 0.142 0.237 (21) 0.008 0.062 0.040 0.111 0.474 0.046 0.001 0.088 0.093 0.095 0.152 0.232 0.495 0.492 0.104 0.074 0.197 0.014 0.015 0.007 0.221 0.224 (22) 0.012 0.080 0.073 0.111 0.080 0.143 0.080 0.016 0.076 0.094 0.121 0.034 0.123 .001 0.079 0.022 0.066 0.140 0.109 0.058 0.035 0.075 (23) Pearson correlations appear below the diagonal and Spearman correlations appear above. Variable descriptions are the same as outlined in the paper and as appended to Table 2. All continuous variables are winsorised at the top and bottom 1 percent of their cross-sectional distributions. Correlations in bold are significant at 0.01 level (two tailed). ETR (1) CUR_ETR (2) CETR (3) Financial RiskA (4) Financial RiskO (5) Financial RiskZ (6) FemaleDummy (7) FemaleRatio (8) FemaleKeyBoard (9) CSR (10) Cash (11) ROA (12) Size (13) Leverage (14) NOL (15) FI (16) EqInc (17) PPE (18) Intangible (19) R&D (20) DiscAccrual (21) M/B (22) iOWN (23) Table 3 (continued) L. H. Chen et al./Accounting and Finance 19 © 2017 AFAANZ PPE EqInc FI D(NOL) NOL Leverage Size ROA Cash CSR FemaleKeyBoard FemaleRatio FemaleDummy Intercept 0.00 (0.71) 0.06* (1.79) 0.55*** (6.33) 0.00 (0.41) 0.00 (0.12) 0.10** (2.33) 5.43 (0.51) 0.27** (2.28) 1.33 (1.29) 0.07*** 0.00 (1.18) 0.06* (1.87) 0.55*** (6.33) 0.00 (0.48) 0.00 (0.16) 0.10** (2.34) 5.44 (0.51) 0.28** (2.33) 1.36 (1.31) 0.06*** 0.21*** (3.40) 0.02*** (3.17) 0.00 (1.12) 0.06* (1.74) 0.55*** (6.30) 0.00 (0.16) 0.01 (0.25) 0.10** (2.32) 5.47 (0.51) 0.28** (2.31) 1.36 (1.30) 0.06*** 0.34*** (5.99) 0.00 (0.80) 0.07* (1.85) 0.73*** (6.07) 0.00 (0.17) 0.01 (0.27) 0.15*** (4.22) 1.95 (0.20) 0.69*** (2.59) 2.11* (1.92) 0.04 0.35*** (5.39) 0.04*** (3.06) 0.33*** (5.77) 0.33*** (5.89) 0.03*** (2.65) ETR AvoidCur AvoidETR Table 4 The association between BGD and tax avoidance (H1) 0.00 (1.03) 0.07** (1.97) 0.72*** (6.07) 0.00 (0.11) 0.02 (0.29) 0.15*** (4.23) 1.94 (0.20) 0.69** (2.56) 2.15* (1.96) 0.04 0.24*** (3.22) 0.34*** (5.25) 0.03*** (3.50) 0.00 (1.09) 0.06* (1.73) 0.72*** (6.06) 0.00 (0.45) 0.02 (0.38) 0.15*** (4.20) 2.05 (0.21) 0.69** (2.57) 2.14* (1.96) 0.04 0.36*** (5.53) 0.00 (0.31) 0.13*** (3.56) 0.67*** (7.02) 0.04*** (7.56) 0.08** (2.48) 0.12*** (3.03) 1.35 (0.10) 0.13 (0.87) 2.48* (1.91) 0.18*** 0.79*** (12.28) 0.05*** (3.58) AvoidCETR 0.00 (0.27) 0.13*** (3.72) 0.67*** (7.01) 0.04*** (7.62) 0.08** (2.45) 0.12*** (3.06) 1.38 (0.11) 0.12 (0.82) 2.53* (1.95) 0.18*** 0.31*** (3.91) 0.78*** (12.12) (continued) 0.04*** (4.24) 0.00 (0.37) 0.12*** (3.44) 0.66*** (6.95) 0.05*** (7.79) 0.07** (2.24) 0.12*** (3.02) 1.31 (0.10) 0.12 (0.82) 2.53* (1.95) 0.18*** 0.80*** (12.35) 20 L. H. Chen et al./Accounting and Finance © 2017 AFAANZ 3.03% 3.11% 0.01 (0.32) 3.63% (0.82) 0.03 (0.80) 0.15 (0.87) 0.15** (2.84) 0.00 (1.24) 0.03 (0.90) (2.59) 0.03 (1.27) 0.27* (1.93) 0.23*** (3.62) 0.00 (2.69) 0.03 (1.33) 0.28** (2.01) 0.22*** (3.57) 0.00 (0.04) 0.01 (0.29) (2.64) 0.03 (1.30) 0.27* (1.92) 0.23*** (3.62) 0.00 (0.01) 0.01 (0.28) Yes Yes 11,600 3.12% AvoidCur AvoidETR ETR (0.80) 0.03 (0.79) 0.17 (0.94) 0.16*** (2.90) 0.00 (1.17) 0.03 (0.91) Yes Yes 11,600 3.71% 3.80% (0.75) 0.02 (0.73) 0.17 (0.98) 0.16*** (2.97) 0.00 (1.14) 0.03 (0.88) 5.61% (5.87) 0.13*** (4.48) 0.31** (2.43) 0.09 (1.55) 0.00 (0.75) 0.01 (0.31) AvoidCETR (5.82) 0.13*** (4.48) 0.29** (2.29) 0.09 (1.62) 0.00 (0.67) 0.01 (0.30) Yes Yes 11,539 5.71% 5.78% (5.71) 0.12*** (4.40) 0.29** (2.25) 0.10 (1.68) 0.00 (0.64) 0.01 (0.36) Variable descriptions are the same as outlined in Table 2. All continuous variables are winsorised at top and bottom 1 percent of their crosssectional distribution. *, **, *** denote statistical significance at 10, 5 and 1 percent levels, respectively. Industry Effect Fixed year effect N Adj. R2 iOWN M/B DiscAccrual R&D Intangible Table 4 (continued) L. H. Chen et al./Accounting and Finance 21 22 L. H. Chen et al./Accounting and Finance addition, tax avoidance is positively associated with firms’ profitability (ROA); this is intuitive, as profitable firms are faced with the need for tax avoidance. In addition, NOL is positively associated with tax avoidance, which is consistent with the fact that NOL will reduce contemporaneous tax liability. 4.2. Baseline results on BGD and financial risk Table 5 reports the baseline results of H2, or whether BGD is associated with firms’ financial risk. The correlation coefficients of FemaleDummy, FemaleRatio and FemaleKeyBoard are all consistently positive and significant across three financial risk measures, namely Financial RiskA, Financial RiskO and Financial RiskZ. This is preliminary evidence of the positive association between BGD and firm financial risk. Accordingly, H2 is rejected and a relationship between BGD and financial risk exists. The correlation coefficients of Cash are positive and significant across three alternative financial risk measures, which is consistent with the notion that firms’ liquidity reduces firms’ financial risk and firms with high financial risk do not have large portions of cash at hand. The former likely results from firms’ investment in assets such as working capital, long-term investments and current business expenses. In addition, financial risk measures are positively associated with Leverage, NOL and negatively associated with PPE, Intangible and R&D. The results are generally consistent with results documented in literature, namely that reduced liquidity, both short term and long term, will result in the increase of financial risk. All forms of long-term investment, such as PPE, Intangible and R&D, reduce financial risks. 4.3. Additional analyses 4.3.1. Simultaneous equations while treating BGD as an endogenous variable Taken together, the baseline models indicate that BGD is negatively associated with tax avoidance (Table 4) and positively associated with financial risk (Table 5). Our next step is to address possible endogeneity concerns. First of all, it is possible that the results reported in Tables 4 and 5 are due to the fact that there are potential determinants of BGD which are not correctly accounted for. Secondly, as we are estimating two Equations (1) and (2), which may potentially affect each other when estimated together. To address the endogeneity concern, the first step we take is to use two-stage least-squares method to estimate Equations (1) and (2) together while treating BGD measure as an endogenous variable. The instrumental variables we use are the following: CSR, Size, Investment Opportunity Set and Market Pressure. Both CSR and Size are both positively correlated with BGD measures (Table 3) and are included in Equations (1) and (2). To assure system identification, we also need variables that are not included in Equations (1) and (2). © 2017 AFAANZ © 2017 AFAANZ EqInc FI D(NOL) NOL Leverage Size ROA Cash CSR FemaleKeyBoard FemaleRatio FemaleDummy Intercept 0.01 (0.47) 8.04*** (10.04) 12.57*** (10.60) 0.16*** (2.74) 7.91*** (17.40) 1.32** (2.20) 23.05 (0.20) 5.41*** (2.70) 32.21*** (3.94) 0.01 (0.41) 8.23*** (10.24) 12.60*** (10.54) 0.13** (2.13) 7.97*** (17.26) 1.32** (2.19) 19.57 (0.17) 5.30*** (2.63) 32.56*** (3.93) 2.77*** (3.62) 0.36*** (4.76) 0.00 (0.21) 8.13*** (10.15) 12.52*** (10.50) 0.16*** (2.59) 7.92*** (17.24) 1.33** (2.20) 21.14 (0.18) 5.33*** (2.64) 32.52*** (3.93) 0.01 (0.72) 2.33*** (19.48) 0.11 (0.35) 0.18*** (10.45) 4.01*** (25.74) 0.47*** (3.29) 14.92 (1.21) 0.99** (1.97) 3.68 (1.36) 0.96*** (5.42) 0.32*** (8.72) 1.13 (1.61) 1.23* (1.77) 0.86*** (4.82) 1.28* (1.82) Financial RiskO Financial RiskA Table 5 The association between BGD and financial risk (H2) 0.01 (1.55) 2.36*** (19.80) 0.11 (0.35) 0.17*** (10.08) 4.01*** (25.87) 0.47*** (3.25) 15.19 (1.23) 1.03** (2.14) 3.90 (1.44) 1.65*** (7.62) 1.00*** (5.61) 0.19*** (8.43) 0.01* (1.69) 2.32*** (19.40) 0.15 (0.48) 0.18*** (10.81) 3.98*** (25.65) 0.48*** (3.21) 14.61 (1.19) 1.02** (2.13) 3.86 (1.44) 0.91*** 0.01 (1.22) 1.95*** (19.15) 0.80*** (3.24) 0.13*** (9.36) 4.16*** (32.11) 0.33** (2.57) 3.94 (0.23) 0.35 (0.88) 2.24 (0.95) 2.72*** (18.03) 0.30*** (9.62) Financial RiskZ 0.01** (2.10) 1.99*** (19.51) 0.80*** (3.21) 0.14*** (9.79) 4.17*** (32.20) 0.33** (2.53) 4.27 (0.25) 0.39 (1.01) 2.45 (1.03) 1.52*** (8.44) 2.77*** (18.05) (continued) 0.18*** (9.92) 0.01** (2.35) 1.95*** (19.11) 0.76*** (3.06) 0.12*** (8.66) 4.14*** (32.04) 0.33** (2.52) 3.64 (0.22) 0.38 (0.99) 2.42 (1.04) 2.68*** (17.61) L. H. Chen et al./Accounting and Finance 23 © 2017 AFAANZ 1.54*** (4.67) 1.42*** (3.55) 8.72*** (3.65) 3.06*** (4.09) 0.06*** (4.60) 0.40 (1.22) 40.67% 40.48% 51.76% 0.79*** (7.78) 1.22*** (11.14) 0.21 (0.51) 0.39** (1.98) 0.02*** (3.09) 0.03 (0.34) Yes Yes 11,323 51.95% 0.79*** (7.74) 1.22*** (11.06) 0.29 (0.69) 0.37* (1.91) 0.02*** (3.12) 0.04 (0.38) 1.58*** (4.80) 1.45*** (3.61) 8.80*** (3.69) 3.11*** (4.15) 0.06*** (4.57) 0.38 (1.18) Yes Yes 11,312 40.38% 1.54*** (4.70) 1.39*** (3.50) 8.78*** (3.70) 3.07*** (4.13) 0.06*** (4.61) 0.39 (1.19) 52.15% 0.77*** (7.58) 1.22*** (11.08) 0.19 (0.44) 0.41** (2.07) 0.02*** (3.08) 0.04 (0.43) 59.57% 1.23*** (13.36) 1.55*** (15.92) 0.96** (2.43) 0.03 (0.18) 0.01** (2.25) 0.00 (0.05) 1.23*** (13.46) 1.55*** (16.03) 0.90** (2.29) 0.02 (0.11) 0.01** (2.21) 0.01 (0.09) Yes Yes 11,323 59.69% Financial RiskZ 59.99% 1.21*** (13.22) 1.55*** (16.02) 0.86** (2.20) 0.00 (0.01) 0.01** (2.19) 0.00 (0.00) Variable descriptions are the same as outlined in Table 2. All continuous variables are winsorised at top and bottom 1 percent of their crosssectional distribution. *, **, *** denote statistical significance at 10, 5 and 1 percent levels, respectively. Industry Effect Fixed year effect N Adj. R2 iOWN M/B DiscAccrual R&D Intangible PPE Financial RiskO Financial RiskA Table 5 (continued) 24 L. H. Chen et al./Accounting and Finance L. H. Chen et al./Accounting and Finance 25 As noted in the discussion of correlation matrices, performance measures and firm financial characteristics such as Cash, ROA, Leverage, FI, Intangible, R&D and M/B are all correlated with BGD measures. Realising that we are not able to use all these variables as instrumental variables, we use Investment Opportunity Set and Market Pressure, both of which capture firms’ performance characteristics. Following Gaver and Gaver (1993), Baber et al. (1996), and McGuire et al. (2014), four different measures, namely investment intensity, growth in market value of assets, the market-to-book ratio and the ratio of scaled R&D expenditures, are incorporated into the measure of Investment Opportunity Set. Investment Opportunity Set is the first principal component score of the four measures where investment intensity is the sum of capital expenditures (AQC), research and development expense (XRD) and acquisitions (CAPXV) for the past 2 years scaled by the sum of depreciation expense (DP) over the same period. Growth in market value of assets is the geometric growth rate of market value of assets for the past 2/3 years for which data are available. The market-tobook ratio is the sum of market value of a firm’s assets to the book value of its assets. The ratio of scaled R&D expenditures is research and development expense (XRD) divided by total assets (AT).11 Market Pressure is based on the count of positive changes in quarterly earnings (Myers et al., 2007; and McGuire et al., 2014). Specifically, if splitadjusted quarterly earnings are greater than that of same quarter from previous year, the count is set to 1 (one positive string) and otherwise to 0. Therefore, the maximum number of positive string for a given year is 4. Market Pressure is 4 minus to total number of positive string for a given year. Therefore, the simultaneous equation system that we estimate is the following: Tax Avoidancei;t ¼ a þ b1 BGDi;t þ b2 CSRi;t þ b3 Cashi;t þ b4 ROAi;t þ b5 Sizei;t þ b6 Leveragei;t þ b7 NOLi;t þ b8 DNOLi;t þ b9 FIi;t þ b10 EqInci;t þ b11 PPEi;t þ b12 Intangiblesi;t þ b13 R&Di;t þ b14 DiscAccruali;t þ b15 M=Bi;t þ b16 iOWNi;it þ ei;t ; Financial Riski;t ¼ a þ b1 BGDi;t þ b2 CSRi;t þ b3 Cashi;t þ b4 ROAi;t ð1Þ þ b5 Sizei;t þ b6 Leveragei;t þ b7 NOLi;t þ b8 DNOLi;t þ b9 FIi;t þ b10 EqInci;t þ b11 PPEi;t þ b12 Intangiblesi;t þ b13 R&Di;t þ b14 DiscAccruali;t þ b15 M=Bi;t þ b16 iOWNi;it þ ei;t ; ð2Þ Endogenous variable: BGD, with alternative measures, FemaleDummy, FemaleRatio and FemaleKeyBoard, respectively. 11 The first principal component accounts for approximately 33 percent of the total variance. © 2017 AFAANZ 26 L. H. Chen et al./Accounting and Finance Instrumental variables: CSR, Size, Investment Opportunity Set and Market Pressure. As mentioned before, we use three alternative measures to proxy for Tax Avoidance, namely AvoidETR, AvoidCurETR and AvoidCETR, respectively. To streamline the reporting of regression results, instead of using RiskA, Financial RiskO and Financial RiskZ as measures of Financial Risk alternatively, we use the first principal component score of RiskA, Financial RiskO and Financial RiskZ as Financial Risk given the high correlation among these three measures (Table 3). Table 6 reports simultaneous regression results where BGD is treated as the endogenous variable. Tax Avoidance specification of AvoidETR, AvoidCurETR and AvoidCETR are reported in Panels A, B and C, respectively. Throughout the panels, the simultaneous regression results are consistent with prior results where BGD is negatively associated with Tax Avoidance and positively associated with Financial Risk. It is noted that the explanatory powers of the Financial Risk models are substantially larger than that of Tax Avoidance models, the former adj. R2s are consistently above 20 percent whereas the latter are only in the low single percentage points. Yet, the negative association between BGD and Tax Avoidance is not subsumed. Therefore, we are more confident that the observed association between BGD and Tax Avoidance and BGD and Financial Risk is not caused by possible omitted variables. 4.3.2. Simultaneous change equations while treating DBGD as an endogenous variable To further address the possible endogeneity concerns caused by loop of causality, we investigate how the current change of BGD is associated with future change of Tax Avoidance and Financial Risk by estimating the following simultaneous equation system: DTax Avoidancei;tþ1 ¼ a þ b1 DBGDi;t þ b2 CSRi; t þ b3 Cashi;t þ b4 ROAi;t þ b5 Sizei;t þ b6 Leveragei;t þ b7 NOLi;t þ b8 DNOLi;t þ b9 FIi;t þ b10 EqInci;t þ b11 PPEi;t þ b12 Intangiblesi;t þ b13 R&Di;t þ b14 DiscAccruali;t þ b15 M=Bi;t þ b16 iOWNi;it þ ei;t ; ð3Þ DFinancial Riski;tþ1 ¼ a þ b1 DBGDi;t þ b2 CSRi;t þ b3 Cashi;t þ b4 ROAi;t þ b5 Sizei;t þ b6 Leveragei;t þ b7 PPEi;t þ b8 Intangiblesi;t þ b9 R&Di;t þ b10 DiscAccruali;t þ b11 M=Bi;t þ b12 iOWNi;it þ ei;t ; ð4Þ © 2017 AFAANZ © 2017 AFAANZ Intercept FemaleDummy FemaleRatio FemaleKeyBoard CSR Cash ROA Size Leverage NOL D(NOL) FI EqInc PPE Intangible R&D DiscAccrual M/B iOWN Industry Effect Fixed year effect Adj. R2 (6.40) (1.79) (1.60) (3.25) (10.82) (0.89) (0.36) (4.59) (1.35) (2.90) (2.44) (4.17) (2.30) (0.83) (4.92) (0.15) (0.46) 0.31*** 0.15* 0.00 0.08*** 0.52*** 0.01 0.01 0.10*** 6.18 0.29*** 1.37** 0.08*** 0.04** 0.10 0.20*** 0.00 0.01 Yes Yes 2.83% (7.90) (27.83) (7.20) (8.46) (45.22) (7.16) (0.94) (0.16) (2.61) (14.03) (16.71) (3.89) (1.93) (2.62) (1.24) 0.01*** 0.24*** 0.13*** 0.03*** 0.38*** 0.06*** 1.61 0.01 0.55*** 0.10*** 0.12*** 0.17*** 0.03* 0.00*** 0.01 29.55% (14.21) (9.45) 0.26*** 0.30*** (2.05) (3.19) (10.74) (0.88) (0.36) (4.50) (1.40) (2.90) (2.42) (4.17) (2.32) (0.45) (4.90) (0.20) (0.48) (2.15) 0.96** 0.01** 0.08*** 0.52*** 0.01 0.01 0.10*** 6.46 0.29*** 1.37** 0.08*** 0.05** 0.05 0.20*** 0.00 0.01 Yes Yes 2.81% (5.91) 0.30*** t-stat Coef. t-stat Coef. Coef. AvoidETR (H1) Financial Risk (H2) AvoidETR (H1) t-stat Model 2 Model 1 Panel A Determinant variable AvoidETR and Financial Risk (N = 11,224) Table 6 Simultaneous regression analysis 26.02% 0.02*** 0.24*** 0.13*** 0.02*** 0.38*** 0.06*** 1.80 0.00 0.55** 0.10*** 0.12*** 0.20*** 0.03* 0.00** 0.01 1.64*** 0.28*** Coef. (8.28) (25.43) (6.68) (7.52) (41.42) (6.62) (0.96) (0.11) (2.38) (12.89) (15.37) (4.03) (1.75) (2.47) (1.16) (9.00) (13.74) t-stat Financial Risk (H2) 0.07* 0.01* 0.08*** 0.52*** 0.01 0.01 0.10*** 6.18 0.29*** 1.37** 0.08*** 0.04** 0.10 0.20*** 0.00 0.01 Yes Yes 2.86% 0.34*** Coef. (1.79) (1.66) (3.26) (10.86) (0.85) (0.36) (4.61) (1.36) (2.92) (2.45) (4.18) (2.31) (0.84) (4.94) (0.15) (0.46) (7.07) t-stat AvoidETR (H1) Model 3 0.14*** 0.01*** 0.24*** 0.13*** 0.02*** 0.38*** 0.06*** 1.60 0.01 0.55*** 0.10*** 0.12*** 0.17*** 0.03** 0.00*** 0.01 Yes Yes 33.75% 0.19*** Coef. (10.40) (9.12) (30.65) (7.93) (9.25) (49.80) (7.89) (1.03) (0.18) (2.87) (15.45) (18.40) (4.27) (2.12) (2.88) (1.36) (11.50) t-stat Financial Risk (H2) L. H. Chen et al./Accounting and Finance 27 © 2017 AFAANZ Intercept FemaleDummy FemaleRatio FemaleKeyBoard CSR Cash ROA Size Leverage NOL D(NOL) FI EqInc PPE Intangible R&D DiscAccrual M/B iOWN Industry Effect Fixed Year Effect Adj. R2 (5.03) (5.64) (5.53) (2.59) (11.17) (4.93) (1.46) (5.04) (0.94) (5.37) (3.14) (2.73) (1.60) (5.35) (2.67) (1.74) (0.78) 0.29*** 0.58*** 0.02*** 0.07*** 0.64*** 0.05*** 0.04 0.13*** 5.12 0.63*** 2.11*** 0.06*** 0.04 0.75*** 0.13*** 0.00* 0.02 Yes Yes 29.55% 2.75% (7.90) (27.83) (7.20) (8.46) (45.22) (7.16) (0.94) (0.16) (2.61) (14.03) (16.71) (3.89) (1.93) (2.62) (1.24) 0.01*** 0.24*** 0.13*** 0.03*** 0.38*** 0.06*** 1.61 0.01 0.55*** 0.10*** 0.12*** 0.17*** 0.03* 0.00*** 0.01 Yes Yes (14.21) (9.45) 0.26*** 0.30*** 2.57% Yes (5.87) (2.44) (10.79) (4.71) (1.40) (4.78) (0.99) (5.14) (3.01) (2.67) (1.59) (5.50) (2.58) (1.74) (0.72) (5.82) 3.20*** 0.03*** 0.07*** 0.64*** 0.04*** 0.04 0.13*** 5.61 0.63*** 2.10*** 0.06*** 0.04 0.83*** 0.13*** 0.00* 0.02 Yes (4.01) t-stat (H1) 0.25*** Coef. Coef. t-stat Coef. t-stat Avoid Financial Risk (H2) AvoidCurETR (H1) CurETR Model 2 Model 1 Panel B Determinant variable AvoidCurETR and Financial Risk (N = 11,224) Table 6 (continued) 26.02% Yes 0.02*** 0.24*** 0.13*** 0.02*** 0.38*** 0.06*** 1.80 0.00 0.55** 0.10*** 0.12*** 0.20*** 0.03* 0.00** 0.01 Yes 1.64*** 0.28*** Coef. (8.28) (25.43) (6.68) (7.52) (41.42) (6.62) (0.96) (0.11) (2.38) (12.89) (15.37) (4.03) (1.75) (2.47) (1.16) (9.00) (13.74) t-stat Financial Risk (H2) 2.99% Yes 0.26*** 0.02*** 0.07*** 0.64*** 0.04*** 0.04 0.13*** 5.11 0.63*** 2.11*** 0.06*** 0.04* 0.75*** 0.13*** 0.00* 0.02 Yes 0.42*** Coef. (5.85) (5.85) (2.69) (11.60) (5.07) (1.52) (5.24) (0.98) (5.58) (3.26) (2.84) (1.66) (5.55) (2.77) (1.81) (0.81) (7.44) t-stat AvoidCurETR (H1) Model 3 33.75% Yes 0.14*** 0.01*** 0.24*** 0.13*** 0.02*** 0.38*** 0.06*** 1.60 0.01 0.55*** 0.10*** 0.12*** 0.17*** 0.03** 0.00*** 0.01 Yes 0.19*** Coef. (10.40) (9.12) (30.65) (7.93) (9.25) (49.80) (7.89) (1.03) (0.18) (2.87) (15.45) (18.40) (4.27) (2.12) (2.88) (1.36) (11.50) t-stat Financial Risk (H2) 28 L. H. Chen et al./Accounting and Finance © 2017 AFAANZ Intercept FemaleDummy FemaleRatio FemaleKeyBoard CSR Cash ROA Size Leverage NOL D(NOL) FI EqInc PPE Intangible R&D t-stat Coef. t-stat Financial Risk (H2) Coef. t-stat AvoidCETR (H1) Model 3 Coef. t-stat Financial Risk (H2) (continued) 0.74*** (12.05) 0.27*** (13.23) 0.70*** (10.99) 0.29*** (12.93) 0.83*** (13.76) 0.19*** (10.47) 0.44*** (3.98) 0.35*** (9.55) 2.45*** (4.24) 1.83*** (9.11) 0.20*** (4.07) 0.15*** (10.68) 0.01*** (2.93) 0.01*** (8.03) 0.02*** (3.64) 0.02*** (8.39) 0.01*** (3.21) 0.01*** (9.39) 0.15*** (5.02) 0.24*** (24.90) 0.15*** (4.88) 0.24*** (22.85) 0.15*** (5.13) 0.24*** (27.80) 0.57*** (9.12) 0.11*** (5.45) 0.57*** (8.96) 0.11*** (5.10) 0.57*** (9.31) 0.11*** (6.09) 0.08*** (7.65) 0.03*** 8.52) 0.07*** (8.77) 0.02*** (7.57) 0.08*** (7.97) 0.03*** (9.45) 0.09*** (2.99) 0.38*** (40.20) 0.09*** (2.93) 0.38*** (37.00) 0.09*** (3.05) 0.38*** (44.89) 0.10*** (3.66) 0.06*** (6.81) 0.10*** (3.52) 0.06*** (6.33) 0.10*** (3.73) 0.06*** (7.61) 1.26 (0.22) 1.74 (0.92) 1.68 (0.28) 1.95 (0.94) 1.27 (0.22) 1.75 (1.03) 0.13 (1.02) 0.00 (0.10) 0.12 (0.98) 0.01 (0.13) 0.13 (1.04) 0.00 (0.12) 2.52*** (3.55) 0.56** (2.39) 2.52*** (3.47) 0.55 (2.19) 2.52*** (3.62) 0.56*** (2.67) 0.19*** (7.86) 0.10*** (12.81) 0.19*** (7.74) 0.10*** (11.82) 0.19*** (8.03) 0.10*** (14.30) 0.13*** (5.45) 0.12*** (14.99) 0.14*** (5.38) 0.12*** (13.86) 0.13*** (5.56) 0.12*** (16.74) 0.20 (1.29) 0.20*** (4.06) 0.26 (1.64) 0.23*** (4.18) 0.20 (1.34) 0.20*** (4.56) Coef. Coef. Coef. t-stat AvoidCETR (H1) Financial Risk (H2) AvoidCETR (H1) t-stat Model 2 Model 1 Panel C Determinant variable AvoidCETR and Financial Risk (N = 11,166) Table 6 (continued) L. H. Chen et al./Accounting and Finance 29 © 2017 AFAANZ 0.02 0.00*** 0.01 Yes Yes 25.53% (1.23) (1.24) (0.44) 0.06 0.00 0.01 Yes Yes 4.80% (1.39) 0.06 (2.68) 0.00 (1.37) 0.01 Yes Yes 4.64% (1.22) (1.27) (0.45) 0.02 0.00** 0.01 Yes Yes 22.50% Coef. Coef. (1.26) (1.26) (0.45) t-stat AvoidCETR (H1) (1.25) 0.06 (2.54) 0.00 (1.29) 0.01 Yes Yes 5.00% t-stat Financial Risk (H2) Model 3 0.02 0.00*** 0.01 Yes Yes 29.98% Coef. ð2Þ ð1Þ (1.55) (3.00) (1.53) t-stat Financial Risk (H2) Endogenous variable: BGD with FemaleDummy, FemaleRatio and FemaleKeyBoard alternatively. Instrumental variables: CSR, Size, Investment Opportunity Set and Market Pressure. Variable descriptions are the same as outlined in Table 2. All continuous variables are winsorised at top and bottom 1 percent of their crosssectional distribution. *, **, *** denote statistical significance at 10, 5 and 1 percent levels, respectively. þ b14 DiscAccruali;t þ b15 M=Bi;t þ b16 iOWNi;it þ ei;t ; þ b10 EqInci;t þ b11 PPEi;t þ b12 Intangiblesi;t þ b13 R&Di;t þ b5 Sizei;t þ b6 Leveragei;t þ b7 NOLi;t þ b8 DNOLi;t þ b9 FIi;t Financial Riski;t ¼ a þ b1 BGDi;t þ b2 CSRi;t þ b3 Cashi;t þ b4 ROAi;t þ b14 DiscAccruali;t þ b15 M=Bi;t þ b16 iOWNi;it þ ei;t ; þ b10 EqInci;t þ b11 PPEi;t þ b12 Intangiblesi;t þ b13 R&Di;t Tax Avoidancei;t ¼ a þ b1 BGDi;t þ b2 CSRi;t þ b3 Cashi;t þ b4 ROAi;t þ b5 Sizei;t þ b6 Leveragei;t þ b7 NOLi;t þ b8 DNOLi;t þ b9 FIi;t DiscAccrual M/B iOWN Industry Effect Fixed Year Effect Adj. R2 t-stat Coef. t-stat Coef. Coef. AvoidCETR (H1) Financial Risk (H2) AvoidCETR (H1) t-stat Model 2 Model 1 Panel C Determinant variable AvoidCETR and Financial Risk (N = 11,166) Table 6 (continued) 30 L. H. Chen et al./Accounting and Finance L. H. Chen et al./Accounting and Finance 31 Endogenous variable: DBGD, with alternative measures, DFemalecount, DFemaleRatio and DFemaleKeyBoard, respectively.12 Instrumental variables: CSR, Size, Investment Opportunity Set and Market Pressure. DFinancial Riski is the change of the first principal component score of RiskA, Financial RiskO and Financial RiskZ between period t and t1. Table 7 reports simultaneous regression results where DBGD is treated as the endogenous variable. DTax Avoidance specification of DAvoidETR, DAvoidCurETR and DAvoidCETR is reported in Panels A, B and C, respectively. First of all, the results on the association between DBGDt and DFinancial Riski,t+1 are very consistent with all DBGD specifications, namely DFemalecount, DFemaleRatio and DFemaleKeyBoard. However, the results on the association between DBGDt and DTax Avoidancei,t+1 depend on particular specification of DTax Avoidance. The association becomes insignificant when DAvoidETR is used, and weakly negatively significant when DAvoidCurETR is used, but remains negatively significant when DAvoidCETR is used. We interpret that the overall results remain consistent with the notion that BGD is negatively associated with Tax Avoidance and positively associated with Financial Risk. 4.4. Results summary We find evidence that BGD is negatively associated with reputation risk, measured by tax aggressiveness. The result is consistent with the notion that BGD helps preserve valuable intangible assets. We find evidence that BGD is positively associated with financial risk, consistent with the view that BGD likely helps reduce agency costs and motivate managers to take additional business risks. Our results support the notion that BGD, as opposed to gender homogeneity, leads to better alignment between management’s interests and incentives with long-term shareholder interests. Thus, it appears BGD has the effect of encouraging firms to engage in additional risk in valuable investment projects while at the same time lowering unnecessary reputation risk exposure. 5. Conclusion Prior archival research has focused on the effects of board gender diversity on accounting and stock returns. However, boards are responsible for overseeing the risk/return relationship that drives firm value and prior research has notably failed/neglected to address the risk aspect of this important trade-off. 12 DFemalecount is set to 1 if the female board member count for period t is greater than the count for period t1, and 0 otherwise. DFemaleRatio is set to 1 if FemaleRatio for period t is greater than FemaleRatio for period t1, and 0 otherwise. DFemaleKeyBoard is set to 1 if FemaleKeyBoard for period t is greater than FemaleKeyBoard for period t1, and 0 otherwise. © 2017 AFAANZ © 2017 AFAANZ Intercept DFemaleDummy DFemaleRatio DFemaleKeyBoard Reputation Cash ROA Size Leverage NOL D(NOL) FI EqInc PPE Intangible R&D DiscAccrual M/B iOWN Industry Effect Fixed Year Effect Adj. R2 (1.38) (1.30) (2.72) (2.92) (2.89) (1.28) (1.34) (2.09) (0.32) (0.62) (0.40) 0.00 0.02 0.08*** 0.01*** 0.04*** 0.01 0.02 0.10** 0.00 0.01 0.01 Yes Yes 0.57% 0.00 0.10*** 0.69*** 0.01 0.04 0.01 1.05 0.84*** 0.69 0.05* 0.09*** 0.36*** 0.00 0.00 0.59*** Yes Yes 4.75% (0.77) (2.68) (9.28) (0.76) (1.14) (0.22) (0.11) (6.20) (0.81) (1.96) (3.08) (3.14) (1.45) (0.19) (12.93) (0.40) (3.07) 0.59*** (12.93) 0.01 0.20 (0.40) 0.61*** t-stat Coef. Coef. t-stat DFinancial Risk (H2) DAvoidETR (H1) Model 1 0.00 0.09* 0.72*** 0.00 0.04 0.01 1.44 0.84*** 0.67 0.05* 0.09*** 0.28** 0.00 0.00 0.60*** Yes Yes 4.71% (0.12) (2.45) (9.47) (0.36) (1.21) (0.31) (0.14) (6.14) (0.78) (1.88) (3.22) (2.13) (1.39) (0.09) (12.90) 0.01*** 0.01*** 0.09*** 0.00 0.01** 0.01 Yes Yes 5.91% 0.00 0.02*** 0.08*** 0.01*** 0.04*** 0.11*** (0.98) 0.15 Coef. (12.90) 0.01 t-stat (3.40) (3.60) (5.14) (1.01) (2.08) (0.83) (0.91) (3.42) (8.25) (5.13) (8.33) (5.22) (0.83) t-stat DFinancial Risk (H2) 0.60*** Coef. DAvoidETR (H1) Model 2 Panel A Determinant Variable DAvoidETR and DFinancial Risk (N = 8,875) Table 7 Simultaneous regression analysis for changes 0.60 0.00 0.11*** 0.68*** 0.01* 0.04 0.01 1.28 0.84*** 0.69 0.06* 0.09*** 0.39*** 0.00 0.01 0.58*** Yes Yes 4.18% 0.58*** Coef. 0.00 Coef. (1.30) (1.26) (1.84) (0.33) (0.59) (0.11) (3.73) (1.85) (1.26) (2.90) (3.47) (2.94) (0.11) t-stat DFinancial Risk (H2) (1.47) 0.58*** (1.39) 0.00* (2.61) 0.02 (8.71) 0.08*** (1.65) 0.01*** (1.06) 0.04*** (0.20) (0.12) (5.82) (0.75) (1.89) 0.01 (2.84) 0.01 (3.31) 0.08* (1.39) 0.00 (0.25) 0.01 (11.68) 0.00 Yes Yes 0.61% (11.68) t-stat DAvoidETR (H1) Model 3 32 L. H. Chen et al./Accounting and Finance © 2017 AFAANZ Intercept DFemaleDummy DFemaleRatio DFemaleKeyBoard CSR Cash ROA Size Leverage NOL D(NOL) FI EqInc PPE Intangible R&D DiscAccrual M/B iOWN Industry Effect Fixed Year Effect Adj. R2 ETR Model 2 (10.71) (1.71) (2.20) (1.37) (6.48) (0.98) (1.84) (1.51) (0.50) (4.16) (0.23) (2.83) (1.10) (1.83) (0.48) (0.71) (10.71) 0.59*** 1.01* 0.01** 0.06 0.58*** 0.01 0.07* 0.05 6.01 0.68*** 0.24 0.10*** 0.04 0.25* 0.00 0.02 0.59*** Yes Yes 3.29% (1.38) (1.30) (2.72) (2.92) (2.89) (1.28) (1.34) (2.09) (0.32) (0.62) (0.40) 0.01 0.02 0.10** 0.00 0.01 0.01 Yes Yes 0.57% (0.40) (3.07) 0.01 0.61*** 0.00 0.02 0.08*** 0.01*** 0.04*** t-stat Coef. (1.37) (1.30) (8.07) (0.92) (2.05) (1.89) (0.56) (4.85) (0.25) (3.20) (1.05) (1.04) (0.48) (0.66) (12.62) (0.33) 0.05 t-stat (12.62) 0.00 0.05 0.62*** 0.01 0.07** 0.06* 5.70 0.67*** 0.22 0.09*** 0.03 0.14 0.00 0.02 0.60*** Yes Yes 4.71% Model 3 0.01*** 0.01*** 0.09*** 0.00 0.01** 0.01 Yes Yes 5.91% 0.00 0.02*** 0.08*** 0.01*** 0.04*** 0.11*** 0.01 Coef. (3.40) (3.60) (5.14) (1.01) (2.08) (0.83) (0.91) (3.42) (8.25) (5.13) (8.33) (5.22) (0.83) t-stat 1.42*** 0.01*** 0.07 0.57*** 0.02* 0.07 0.05 5.36 0.68*** 0.22 0.10** 0.04 0.26* 0.00 0.02 0.56*** Yes Yes 4.18% 0.56*** Coef. (H1) DFinancial Risk (H2) DAvoidCur 0.60*** Coef. ETR and DFinancial Risk (N = 8,875) (H1) DFinancial Risk (H2) DAvoidCur t-stat ETR Coef. DAvoidCur Model 1 Panel B Determinant Variable DAvoidCur Table 7 (continued) (2.64) (2.63) (1.25) (5.61) (1.83) (1.56) (1.33) (0.38) (3.58) (0.19) (2.49) (0.97) (1.70) (0.43) (0.68) (8.66) (8.66) 0.01 0.01 0.08* 0.00 0.01 0.00 Yes Yes 0.61% 0.58*** 0.00* 0.02 0.08*** 0.01*** 0.04*** 0.00 Coef. (1.30) (1.26) (1.84) (0.33) (0.59) (0.11) (3.73) (1.85) (1.26) (2.90) (3.47) (2.94) (0.11) t-stat (H1) DFinancial Risk (H2) t-stat ETR L. H. Chen et al./Accounting and Finance 33 © 2017 AFAANZ Intercept DFemaleDummy DFemaleRatio DFemaleKeyBoard CSR Cash ROA Size Leverage NOL D(NOL) FI EqInc PPE Intangible R&D DiscAccrual (1.28) (1.34) (2.09) (0.32) (1.38) (1.30) (2.72) (2.92) (2.89) 0.01** 0.08 0.18 0.04** 0.10 0.06 18.82 1.08*** 1.50 0.02 0.02 0.24 0.00 (2.21) 0.00 (1.00) 0.02 (1.12) 0.08*** (1.98) 0.01*** (1.33) 0.04*** (0.95) (0.86) (3.62) (0.80) (0.30) 0.01 (0.24) 0.02 (0.96) 0.10** (0.55) 0.00 (0.40) (3.07) 0.54*** (5.35) 0.01 3.04*** (2.81) 0.61*** t-stat Coef. Coef. t-stat DFinancial Risk (H2) DAvoidCETR (H1) Model 1 0.01** 0.07* 0.21** 0.01 0.10*** 0.06* 19.47* 1.07*** 1.51 0.01 0.01 0.21 0.00 Coef. (2.56) 0.00 (1.74) 0.02*** (2.55) 0.08*** (1.60) 0.01*** (2.58) 0.04*** (1.86) (1.75) (7.07) (1.59) (0.42) 0.01*** (0.30) 0.01*** (1.44) 0.09*** (1.14) 0.00 0.11*** (3.40) (3.60) (5.14) (1.01) (0.91) (3.42) (8.25) (5.13) (8.33) (5.22) (0.83) t-stat DFinancial Risk (H2) (10.18) 0.01 t-stat 0.53*** (3.09) 0.53*** Coef. DAvoidCETR (H1) Model 2 Panel C Determinant Variable DAgg_CETR and DFinancial Risk (N = 8,875) Table 7 (continued) 2.82*** 0.01*** 0.08 0.21 0.04** 0.09 0.07 17.34 1.07*** 1.44 0.02 0.01 0.16 0.00 0.49*** Coef. 0.00 Coef. (continued) (1.30) (1.26) (1.84) (0.33) (3.73) (1.85) (1.26) (2.90) (3.47) (2.94) (0.11) t-stat DFinancial Risk (H2) (3.39) 0.58*** (2.61) 0.00* (0.99) 0.02 (1.32) 0.08*** (2.44) 0.01*** (1.28) 0.04*** (1.03) (0.80) (3.65) (0.78) (0.33) 0.01 (0.17) 0.01 (0.67) 0.08 (0.57) 0.00 (4.87) t-stat DAvoidCETR (H1) Model 3 34 L. H. Chen et al./Accounting and Finance © 2017 AFAANZ (0.62) (0.40) t-stat Coef. t-stat Coef. ð4Þ ð3Þ (0.59) (0.11) t-stat DFinancial Risk (H2) 0.04 (0.66) 0.01 0.49*** (4.87) 0.00 Yes Yes Yes Yes 1.21% 0.61% Coef. DAvoidCETR (H1) Model 3 Endogenous variable: DBGD with DFemalecount, DFemaleRatio, and DFemaleKeyBoard alternatively. Instrumental variables: CSR, Size, Investment Opportunity Set and Market Pressure. Variable descriptions are the same as outlined in Table 2. All continuous variables are winsorised at top and bottom 1 percent of their crosssectional distribution. *, **, *** denote statistical significance at 10, 5 and 1 percent levels, respectively. þ b10 DiscAccruali;t þ b11 M=Bi;t þ b12 iOWNi;it þ ei;t ; þ b5 Sizei;t þ b6 Leveragei;t þ b7 PPEi;t þ b8 Intangiblesi;t þ b9 R&Di;t DFinancial Riski;tþ1 ¼ a þ b1 DBGDi;t þ b2 CSRi;t þ b3 Cashi; t þ b4 ROAi;t þ b14 DiscAccruali;t þ b15 M=Bi;t þ b16 iOWNi;it þ ei;t ; þ b10 EqInci;t þ b11 PPEi;t þ b12 Intangiblesi;t þ b13 R&Di;t þ b5 Sizei;t þ b6 Leveragei;t þ b7 NOLi;t þ b8 DNOLi;t þ b9 FIi;t (2.08) (0.83) t-stat DFinancial Risk (H2) 0.03 (1.06) 0.01** 0.53*** (10.18) 0.01 Yes Yes Yes Yes 4.93% 5.91% Coef. DAvoidCETR (H1) Model 2 DTax Avoidancei;tþ1 ¼ a þ b1 DBGDi;t þ b2 CSRi; t þ b3 Cashi;t þ b4 ROAi;t M/B 0.04 (0.64) 0.01 iOWN 0.54*** (5.35) 0.01 Industry Effect Yes Yes Fixed Year Effect Yes Yes 1.15% 0.57% Adj. R2 t-stat Coef. Coef. t-stat DFinancial Risk (H2) DAvoidCETR (H1) Model 1 Panel C Determinant Variable DAgg_CETR and DFinancial Risk (N = 8,875) Table 7 (continued) L. H. Chen et al./Accounting and Finance 35 36 L. H. Chen et al./Accounting and Finance To fill this gap, this paper focuses on the risk component of firm value. The evidence suggests that gender-diverse boards appear to be effective at encouraging managers to take financing risks that could increase value, while simultaneously discouraging those managers from accepting reputation risks that could impair value. Firm value is important to equity and debt investors. However, stability and continuity are likely to be relatively more important to a diverse group of stakeholders that includes employees, customers, suppliers and the community in which a firm operates. These stakeholders are, for example, usually less able than shareholders to diversify in order to reduce their risks. Many of them trust corporate boards’ decisions hoping they make wise decisions when assessing risks that could impair firm reputation or result in bankruptcy. Boards frequently trade-off risks and rewards for their stakeholders, and it is likely that not all corporate boards address these issues with equal capability. The evidence reported in this paper suggests that gender-diverse corporate boards are more risk-aware than firms with all-male boards. Our results supplement prior findings on the positive association between BGD and corporate citizenship (Bernardi and Threadgill, 2010; and Zhang et al., 2013) where corporate citizenship can be viewed as an alternative measure of firm reputation. Our results are also consistent with the findings by Francis et al. (2014) in which the authors document that female CFOs are less tax aggressive than their male counterparts. However, Francis et al. (2014) attribute their results to the risk aversion of female CFOs. In other words, female executives will impact firms’ risk strategies by reducing firm risk exposure simply because female CFOs are more risk averse then male CFOs. If that were the case with female executives, then female board presence also increases the overall corporate boards’ risk aversion and increases the gap between risk-neutral shareholders’ risk preference and firms’ risk strategies. To verify these results, we investigated the association between BGD and a firm’s financial risk while controlling for financial risk determinants and other firm characteristics and concluded that a gender-diverse board aligns a firm’s risk exposure closer to risk-neutral shareholders’ preferences by reducing reputation risk exposure while enabling necessary financial risk exposure. We maintain the assumption that from portfolio-diversified shareholders’ perspectives, a healthy exposure to financial risk is necessary in order to obtain a return on equity that would be higher than a risk-free rate of return. In addition to their business knowledge, experience and expertise, female board members may not be as risk averse as the average female population. We acknowledge that we are not able to rule out the possibility that our findings are consistent with the notion that female board members are seasoned corporate professionals. However, this plausible explanation for our findings does not compromise our key conclusion that BGD improves corporate governance, which is desirable on any front. © 2017 AFAANZ L. H. Chen et al./Accounting and Finance 37 References Abbott, L., S. Parker, and T. Presley, 2012, Female board presence and the likelihood of financial restatement, Accounting Horizons 26, 607–629. Adams, R., and D. 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