Journal of Banking & Finance 38 (2014) 64–77 Contents lists available at ScienceDirect Journal of Banking & Finance journal homepage: www.elsevier.com/locate/jbf Bank competition and financial stability in Asia Pacific Xiaoqing (Maggie) Fu a, Yongjia (Rebecca) Lin a, Philip Molyneux b,⇑,1 a b Faculty of Business Administration, University of Macau, Taipa, Macau Bangor Business School, Bangor University, UK a r t i c l e i n f o Article history: Received 21 May 2013 Accepted 20 September 2013 Available online 1 October 2013 JEL classification: G21 G28 Keywords: Bank competition Financial stability Regulation Banks in Asia Pacific a b s t r a c t Analysis of the tradeoff between competition and financial stability has been at the center of academic and policy debate for over two decades and especially since the 2007–2008 global financial crises. Here we use information on 14 Asia Pacific economies from 2003 to 2010 to investigate the influence of bank competition, concentration, regulation and national institutions on individual bank fragility as measured by the probability of bankruptcy and the bank’s Z-score. The results suggest that greater concentration fosters financial fragility and that lower pricing power also induces bank risk exposure after controlling for a variety of macroeconomic, bank-specific, regulatory and institutional factors. In terms of regulations and institutions, the results show that tougher entry restrictions may benefit bank stability, whereas stronger deposit insurance schemes are associated with greater bank fragility. Ó 2013 Elsevier B.V. All rights reserved. 1. Introduction The impact of bank competition on financial stability has been a focus of academic and policy debate over the last two decades and particularly since the 2007–2008 global financial crises (Beck, 2008; Carletti, 2008; Careletti, 2010; Acharya and Richardson, 2009; Beck et al., 2010; OECD, 2011). Under the traditional competition-fragility view, banks cannot earn monopoly rents in competitive markets and this results in lower profits, capital ratios and charter values. This makes banks less able to withstand demandor supply-side shocks and encourages excessive risk-taking (Marcus, 1984; Keeley, 1990). Alternatively, the competitionstability view suggests that competition leads to greater stability. A less competitive banking market may lead to more risk-taking if the big banks are deemed too important to fail and as such obtain implicit (or explicit) subsidies via government safety nets (Mishkin, 1999). In addition, banks with more market power tend to charge higher loan rates, which may induce borrowers to assume greater risk leading to greater default. In competitive banking ⇑ Corresponding author. Tel.: +44 1248382170. E-mail addresses: [email protected] (Xiaoqing (Maggie) Fu), [email protected] (Yongjia (Rebecca) Lin), [email protected] (P. Molyneux). 1 The authors are grateful for funding from the University of Macau. We highly appreciate the comments from the BOFIT Research Seminar, Australasian Finance & Banking Conference, Auckland Finance Meeting, and FMA Asian Conference Doctoral Student Consortium, especially those from Franklin Allen, Iikka Korhonen, Minghua Liu, Ronald Masulis and Yukihiro Yasuda. All errors are our responsibility. 0378-4266/$ - see front matter Ó 2013 Elsevier B.V. All rights reserved. http://dx.doi.org/10.1016/j.jbankfin.2013.09.012 markets loan rates are lower, Too-Big-To-Fail issues and safety net subsidies are smaller, and this results in a positive link between bank competition and stability (Boyd and De Nicoló, 2005). It could also be the case, as noted by Martinez-Miera and Repullo (2010) that bank competition and stability are linked in a non-linear manner, and in a similar vein Berger et al. (2009) argue that competition and concentration may coexist and can simultaneously induce stability or fragility. As noted above, recent studies on the causes of the credit crunch have highlighted deregulation and excessive competition as factors that led to financial sector meltdowns in the US and the UK (Llewellyn, 2007; Brunnermeier, 2009; Milne, 2009; OECD, 2011). Moreover, it is of interest to assess whether the relationship between banking competition and financial stability has been affected after the outbreak of the recent financial crisis. While a substantial literature has emerged addressing this critical issue,2 to our knowledge, the problem has been inadequately covered for banks operating across the Asia Pacific region.3 Against this backdrop our paper investigates the impact of bank competition on financial 2 Beck (2008) and Carletti (2008, 2010) provide excellent surveys of the literature. Soedarmon et al. (2011) and Liu et al. (2012) estimate the competition-stability nexus for banks in 12 Asian economies and four South East Asian countries, respectively. In addition, a small number of cross-country empirical studies include several Asia Pacific economies into their large sample sets in testing this relationship. See, for example, Beck et al. (2006a), Boyd et al. (2006), Evrensel (2008), Berger et al. (2009), Schaeck et al. (2009), Behr et al. (2010), Turk Ariss (2010), and Anginer et al. (2012). 3 Xiaoqing (Maggie) Fu et al. / Journal of Banking & Finance 38 (2014) 64–77 stability for 14 Asia Pacific economies over the period from 2003 to 2010 and extends the previous empirical literature in several respects.4 First, previous studies have focused on using Z-scores or evidence of a real bank crisis as measures of banking sector risk/stability. Here we extend the analysis by employing the probability of bankruptcy as an indicator of individual bank fragility.5 A real banking crisis can be an accurate indicator of banking sector stability, but its significance may be distorted for the following reasons: (1) banking crises are defined and announced differently across countries; (2) regulators may be less inclined to report bank insolvencies because they may imply regulatory failure; and finally (3) regulators are reluctant to announce the failures of banks that play a key role within the system because they wish to avoid contagion effects (Uhde and Heimeshoff, 2009). The probability of bankruptcy, computed using the Black and Scholes (1973) and Merton (1974) contingent claims approaches provide a more appealing alternative. Compared to the use of accounting-based models (e.g., Z-score), this market-based measure of stability has the following advantages: (1) in efficient markets, stock prices reflect all available information; (2) market variables are unlikely to be influenced by firm’s accounting policies; and (3) market prices reflect future expected cash flows and thus should be more appropriate for use for prediction purposes. Second, according to the structure-conduct-performance proposition, competition and concentration are inversely related; a more concentrated market will feature a lower degree of competition. However, criticisms of this view have led to a shift away from the presumption that structure is the most important determinant of the level of competition. Instead, proponents of what is now known as the New Industrial Organization (NIO) literature, such as Schmalensee (1982), argue that the strategies (conduct) of individual firms are equally, if not more, important than concentration, in explaining competitive conditions. Also, the related emergence of the theory of contestability (Baumol, 1982; Baumol et al., 1982) has spawned a variety of non-structural indicators of competition aimed at identifying firm conduct.6 In our study we include both structural and non-structural measures of competition to examine the concentration, competition and stability nexus in Asia Pacific banking.7 Thirdly, we incorporate both regulatory and institutional environmental factors in our models and also highlight the impact of the global turmoil on individual risk exposure in the region. Following Berger et al. (2009), we adopt an instrumental variable technique with a Generalized Method of Moments (GMM) estimator to address potential endogeneity problems between bank competition and risk. We also include a series of sensitivity analyses using different model specifications. 4 See, for example, De Nicoló et al. (2003), Beck et al. (2006a), Boyd et al. (2006), Yeyati and Micco (2007), Berger et al. (2009), Schaeck and Cihak (2008), Schaeck et al. (2009), Uhde and Heimeshoff (2009), Behr et al. (2010), Turk Ariss (2010), Agoraki et al. (2011), Soedarmon et al. (2011), and Liu et al. (2012). 5 The Z-score is also used in this study to determine the robustness of our results. 6 These include measures of competition between oligopolists such as Iwata (1974) and those that test for competitive behavior in contestable markets, Bresnahan (1982, 1989), Lau (1982) and Panzar and Rosse (1987). These indicators have been developed from (static) theory of the firm models under equilibrium conditions and mainly use some form of price mark-up over a competitive benchmark, such as price over marginal cost for the Lerner index and price over marginal revenue for the Bresnahan (1982) measure. The main exception is the Panzar and Rosse (1987) indicator that measures the relationship between changes in factor input prices and revenues earned by firms. See also Koetter et al. (2012) for recent studies using adjusted-Lerner indices to measure market power in banking. 7 The structural approach focuses on market structure measures such as market shares, concentration ratios for the largest sets of firms, and a Hirschman–Herfindahl index. Structural indicators measure actual market shares but do not allow inferences regarding the competitive behavior of banks. Non-structural measures are used to quantify bank pricing behavior. They include the Lerner index and the Panzar Rosse H-statistic (Berger et al., 2004). 65 Overall our results suggest that greater concentration fosters financial fragility, whereas lower pricing power also induces bank risk exposure after controlling for macroeconomic, bank-specific, regulatory and institutional factors. This finding supports the neutral view of the competition-stability relationship. It also implies that some banks in the region are able to attain greater discretion in price-setting to boost profits and reduce insolvency risk through channels other than increased concentration, such as product differentiation. Furthermore, there is evidence that larger banks are more likely to fail than their smaller counterparts. In addition, our results indicate that tougher entry restrictions may benefit bank stability, whereas stronger deposit insurance schemes appear to create greater bank fragility. The remainder of the paper is organized as follows. Section 2 provides a review of the literature on competition and stability in banking. Section 3 introduces the econometric methodology. Section 4 describes the data used in the econometric tests. Section 5 presents the empirical results and Section 6 are the conclusions. 2. Literature review Under the traditional competition-fragility hypothesis, competitive and/or less concentrated banking systems are more fragile. The ‘‘charter/franchise value’’ of banking, as modeled by Marcus (1984), and Keeley (1990), suggests that competition drives banks to undertake risk-taking strategies due to the contraction of the latter’s franchise value. These models show that a higher charter or franchise value arising from increased market power may deter excessive risk-taking by the bank’s management. Because higher franchise value results in greater opportunity costs during bankruptcy, bank managers and shareholders may become more reluctant to engage in risky activities improving bank asset quality. Diamond (1984), Ramakrishnan and Thakor (1984), Boyd and Prescott (1986), Williamson (1986), and others show that more concentrated banking systems are composed of larger banks and that larger banks can capitalize on economies of scale and scope and better diversify their portfolios. Smith (1984) argues that banking relationships may endure for longer periods in less competitive environments if the information on the probability distribution of depositors’ liquidity needs is private. Hence, greater concentration and less competition could reduce liability risk and lead to greater stability in banking. Boot and Greenbaum (1993) and Allen and Gale (2000, 2004) suggest that in a more competitive environment, banks earn less informational rent from their relationships with borrowers, which reduces their incentives to properly screen borrowers and increases the risk of fragility. Competition can impact stability through contagion. Using a model of financial contagion in the interbank market Allen and Gale (2000) suggest that under perfect competition, all banks are price takers and none have an incentive to provide liquidity to troubled banks. As a result, troubled banks eventually fail with negative repercussions for the entire sector. Similarly, Saez and Shi (2004) argue that banks can cooperate, act strategically and help other banks to cope with temporary liquidity shortages in a market characterized by imperfect competition. Allen and Gale (2000) also find that a concentrated banking system with a small number of large institutions is more stable because banks are easier to monitor, less burdened by supervision, and therefore more resilient to shocks. Boot and Thakor (2000) suggest that larger banks tend to engage in ‘‘credit reputation/rating’’ because making fewer high-quality credit investments can increase the return of individual investments and thereby encourage financial 66 Xiaoqing (Maggie) Fu et al. / Journal of Banking & Finance 38 (2014) 64–77 soundness. Additionally, larger banks are assumed to enjoy comparative advantages related to the provision of credit monitoring services. Allen and Gale (2004) claim that financial crises are more likely to occur in less concentrated banking systems due to the absence of powerful providers of financial products that could reap benefits from the high profits that thus serve as a buffer against asset quality deterioration. Similarly, Boyd et al. (2004) state that the presence larger (monopolistic) banks in concentrated banking systems might enhance profits and thus reduce financial fragility by providing higher ‘‘capital buffers’’ that protect these systems against external macroeconomic and liquidity shocks. A different argument among proponents of the competition-fragility hypothesis is that deposit insurance schemes can reduce fragility by preventing bank runs but also introduce moral hazard by providing incentives to banks to engage in riskier activities. Thus, in more competitive environments, more generous deposit insurance may undermine bank stability (Diamond and Dybvig, 1983; Matutes and Vives, 1996). In addition, Hellmann et al. (2000) suggest that deposit interest rate ceilings are still necessary to prevent banks from taking excessive risk in competitive markets, although minimum capital requirements can boost the charter value. Under the alternative competition-stability hypothesis, more competitive and/or less concentrated banking systems are more stable. The ‘‘too big to fail’’ doctrine (Mishkin, 1999, 2006; Barth et al., 2012b) indicates that policymakers are more concerned about bank failures when the number of banks in a concentrated banking system is low. Thus, these large banks are often more likely to receive public guarantees or subsidies, which may generate a moral hazard problem, encourage risk-taking behavior and intensify financial fragility (Kane, 2010; Rosenblum, 2011). Moreover, contagion risk may increase in a concentrated banking system with larger banks. Caminal and Matutes (2002) claim that lower competition can result in reduced credit rationing and larger loans, ultimately increasing the probability of bank failure. Boyd and De Nicoló (2005) argue that concentrated banking systems allow banks to charge higher loan rates, which may encourage borrowers to assume greater risk. Consequently, the volume of non-performing loans may increase, resulting in a higher probability of bank failure. However, Martinez-Miera and Repullo (2010) suggests that higher loan rates also produce higher interest revenues for banks. This dynamic might generate a U-shaped relationship between bank competition and stability. Beck et al. (2006a,b) suggest that bank size is positively correlated with organizational complexity; for example, monitoring a large bank is more difficult than monitoring a small bank. Accordingly, as firm size increases, transparency may decrease as a result of expansion across multiple geographic markets and business lines and the use of sophisticated financial instruments that facilitate the establishment of complex corporate organizations. These developments may reduce managerial efficiency and internal corporate control and may increase operational risk. Increasing organizational complexity can render both market discipline and regulatory action less effective in preventing excessive risk exposure (Cetorelli et al., 2007). However, as indicated in Berger et al. (2009), the two strands of the literature do not necessarily produce opposing predictions regarding the relationship between bank competition and financial stability. The aforementioned authors argue that bank risks may not increase even if market power encourages riskier asset portfolios because banks may protect their charter values by using other methods to offset the greater risk exposure. Such methods may include increasing equity capital, reducing interest rate risk, and selling credit derivatives. As noted earlier, market structure measures may not be good measures of competition and this (to some ex- tent) has been confirmed by Berger et al. (2004) and Beck (2008) who show that banking industry concentration can influence stability through channels other than competition. A substantial empirical literature has emerged testing for concentration, competition and banking stability relationships across countries. Yeyati and Micco (2007), for instance, use a sample of commercial banks from eight Latin American countries over the period 1993–2002 and find a positive link between bank risk (as measured by the Z-score) and competition (as captured by the Panzar and Rosse 1987, H-statistic), whereas the coefficient for bank concentration is not significant. This result lends support to the competition-fragility paradigm. Schaeck and Cihak (2008) analyze the relationship between bank competition and soundness using a sample of more than 3600 banks from ten European countries and more than 8900 US banks for the period from 1995 to 2005. They suggest that competition as measured by the Boone indicator increases bank soundness by increasing efficiency and that more concentrated banking markets benefit from financial stability. Using data from 31 systemic banking crises in 45 countries for the period from 1980 to 2005, Schaeck et al. (2009) show that competition (as captured by the Panzar Rosse H-statistic) reduces the likelihood of a crisis and increases the time to crisis, even after they control for banking system concentration, which is negatively related to financial fragility. In a similar study, Berger et al. (2009) use a sample of 8235 banks from 23 industrial countries over 1999–2005 and find that banks with market power (measured using the Lerner index) have less overall risk exposure, as captured by their Z-scores. These findings support the traditional competition-fragility view. On the other hand, they show that bank-level market power also results in riskier loan portfolios, as indicated by non-performing loan ratios. Berger et al. (2009) argue that banks can protect their charter value from higher loan risk by holding more equity capital. More recently, Anginer et al. (2012) examine the relationship between competition according to the Lerner index and systemic stability as captured by default risk under Merton’s (1974) contingent claim pricing framework. Using a sample of 1872 publicly traded banks from 63 countries between 1997 and 2009, they find a positive relationship between competition and systemic stability (and the results remain the same even when they conduct a robustness check using bank asset concentration as an alternative proxy for bank competition). Liu et al. (2012) introduce a variety of bank-specific risk indicators (the ratio of loan-loss provisions to total loans, loan-loss reserves to total loans, after-tax ROA volatility, and the natural logarithm of the Z-index) to investigate similar relationships for banks operating in South East Asia (Indonesia, Malaysia, the Philippines and Vietnam) between 1998 and 2008. They find that competition measured using the Panzar Rosse H-statistic is inversely and significantly related to most risk indicators except the natural logarithm of the Z-index, which suggests that competition does not erode bank stability. The researchers also find that concentration is negatively associated with bank risk, whereas regulatory restrictions positively influence bank fragility. Overall, cross-country evidence yields mixed results regarding the relationship between bank concentration, competition, and stability. Meanwhile, the findings do confirm that concentration and competition can coexist and may influence financial stability through different channels. 3. Methodology We test whether bank concentration and competition influence bank stability employing bank-level data from 14 Asia Pacific economies. To address potential endogeneity issues associated with 67 Xiaoqing (Maggie) Fu et al. / Journal of Banking & Finance 38 (2014) 64–77 Table 1 Variable definitions and sources. Variable Dependent variables Probability of bankruptcy Z-score Independent variables CR3 LERNER E-LERNER SIZE LLP NIM Entry restrictions Definition Data sources The bank-level probability of bankruptcy based on method of Bharath and Shumway (2008) The bank-level Z-score; a larger value means less overall bank risk and higher bank stability Bankscope, Datastream A country-level structural indicator of bank concentration, measured by the concentration of assets held by the three largest banks in each country, with higher value indicating greater market concentration A bank-level non-structural indicator of bank competition, measured by the Lerner index using fixed-effects method, with higher values indicating less competition in the banking sector A bank-level non-structural indicator of bank competition, measured by the efficiency-adjusted Lerner index using a stochastic frontier analysis approach, with higher values indicating less competition in the banking sector The natural logarithm of total assets in thousands of USD The ratio of loan loss provisions to total assets Bank’s net interest income as a share of its interest-bearing (total earning) assets Ratio of entry applications denied to applications received from domestic and foreign banks World Bank database on financial development structure and Bankscope Capital requirements Minimum regulatory capital-to-assets ratio per country Deposit insurance A dummy variable that takes a value of one if the country has deposit insurance, and zero otherwise RGDP CRISIS Rate of real GDP growth rate A dummy variable that takes a value of one for the years 2008–2009, and zero otherwise Instrumental variables Activity restrictions Financial freedom Property rights Index measure that indicates whether bank activities in the securities, insurance and real estate markets, ownership and control of non-financial firms are unrestricted, permitted, restricted or prohibited The aggregate indicator ranges from 1 to 4. A higher value indicates greater activity restrictions arising from legal requirements The indicator of the openness of the banking system is a composite index of whether government interference exists in the financial sector, such as regulation, financial products, allocation of credit, whether foreign banks are free to operate. Higher values indicate fewer restrictions on banking freedoms The Heritage Foundation property rights protection index. A higher value signifies weaker protection measures of market power, we use an instrumental variable technique with a GMM estimator.8 Our panel data model has the following general form: Bank Risk ¼ f ðConcentration; Competition; Bank Controls; Regulatory and Institutional Controls; Macro ControlsÞ ð1Þ Notes on our dependent, explanatory and instrumental variables as well as data sources are presented in Table 1. 3.1. Market-based risk measure Black and Scholes’s (1973) and Merton’s (1974) Distance to Default model is used to estimate the insolvency risk of listed banks. The model has been widely used in empirical research.9 However, there is only one paper employing this model in comparing the performance of market-based and accounting-based bankruptcy prediction models (Agarwal and Taffler, 2008). The Distance to Default 8 GMM is more efficient than 2SLS because it accounts for heteroskedasticity (Hall, 2005). 9 For example, see Hillegeist et al. (2004), Vassalou and Xing (2004), Gropp et al. (2004, 2006), Akhigbe et al. (2007), Chan-Lau and Sy (2007), Duffie et al. (2007), Bharath and Shumway (2008), and Campbell et al. (2008). Bankscope Bankscope Bankscope BankScope BankScope BankScope World Bank Survey of Bank Regulation and Supervision (for details see Barth et al., 2008, 2012a,b) World Bank Survey of Bank Regulation and Supervision (for details see Barth et al., 2008, 2012a,b) World Bank Survey of Bank Regulation and Supervision (for details see Barth et al., 2008, 2012a,b) World Economic Outlook Database, IMF Compiled by the authors World Bank Survey of Bank Regulation and Supervision (for details see Barth et al., 2008, 2012a,b) Heritage Foundation (2010) Heritage Foundation (2010) model views equity as a call option on the assets of a firm, with a strike price equal to the face value of the liabilities at time T when the liabilities mature. At time T, equity holders exercise their option and pay off the debt holders if the value of the firm’s assets is greater than the face value of its liabilities. Otherwise, if the value of the assets is insufficient to fully repay the firm’s debts, the call option becomes worthless, and equity holders let it expire. In this scenario, the firm files for bankruptcy, and ownership is assumed to be transferred to the debt holders at no cost, whereas the payoff for equity holders is zero. Estimates for the probability of bankruptcy are given by McDonald (2002). They are modified for dividends, and they reflect the fact that the stream of dividends paid by the firm accrues to the equity holders: 0 B ln P ¼ N @ V A D r2 1 þ u d 2A T C pffiffiffi A rA T ð2Þ where P is the probability of bankruptcy, N( ) is the cumulative normal density function, VA is the value of assets, D is the face value of debts proxied by total liabilities, u is the expected return, d is the dividend rate estimated as total dividends/(total liabilities + market value of equity), rA is the standard deviation of assets (asset volatility), and T is the time to expiration (taken to be 1-year). 68 Xiaoqing (Maggie) Fu et al. / Journal of Banking & Finance 38 (2014) 64–77 VA, u and rA are non-observable. This study uses the following method outlined by Bharath and Shumway (2008): VA ¼ VE þ D rA ¼ VE D rE þ rD VA VA ð3Þ ð4Þ rD ¼ 0:05 þ 0:25 rE : ð5Þ u ¼ r i;t1 : ð6Þ where VE is the market value of common equity, VA is the total value of assets, D is the face value of debts proxied by total liabilities, rA is the standard deviation of assets (asset volatility), rE is the standard deviation of daily stock returns multiplied by the square root of the average number of trading days in the year (set at 252 trading days), u is the expected return, and ri,t1 is the bank’s stock returns over the previous year.10 3.2. Accounting-based risk measure For our accounting based risk measure we use the Z-score which is widely used in the literature as a stability indicator (see, for instance, Boyd and Runkle, 1993; Lepetit et al., 2008; Laeven and Levine, 2009; Čihák and Hesse, 2010). Using accounting information on asset returns, its volatility and leverage, the Z-score is calculated as follows: Z it ¼ ROAit þ Eit =TAit rROAit competition, the Lerner index = 0; under a pure monopoly, the Lerner index = 1. A Lerner index < 0 implies pricing below the marginal cost and could result, for example, from non-optimal bank behavior. Algebraically, the Lerner index is calculated as follows: Lernerit ¼ ðPTAit MCTAit Þ=PTAit ð8Þ where PTAit is the price of total assets proxied by the ratio of total revenues (interest and non-interest income) to total assets for bank i at time t, and MCTAit is the marginal cost of total assets for bank i at time t. Following Fernández de Guevara et al. (2005) and Carbó-Valverde et al. (2009), we can calculate the output price (PTAit ) as the ratio of total revenues (interest and non-interest income) to total assets. Given the limited information on prices for loans and deposits,13 we use a single indicator of banking activity, namely total assets as a measure of bank output, as suggested by Shaffer (1993) and Berg and Kim (1994). Assuming that the heterogeneous flow of goods and services supplied by a bank is proportional to its total assets, the output price includes both interest income and non-interest income. Following Hasan and Marton (2003), Soedarmon et al. (2011), Sun and Chang (2011) and Jiang et al. (2013) we use a two input cost function specification that tends to be used in emerging market bank efficiency studies (due to data availability issues) to estimate marginal costs. We also cross check with a three-input cost function specification and also follow Koetter et al. (2008, and 2012) and estimate the efficiency-adjusted Lerner index using a stochastic frontier analysis approach for another robustness test.14 ð7Þ where ROA is the return on assets, E/TA is the equity to total assets ratio, and rROA is the standard deviation of return on assets. The Z-score is inversely related to the probability of a bank’s insolvency. A bank becomes insolvent when its asset value drops below its debt and the Z-score shows the number of standard deviations that a bank’s return has to fall below its expected value to deplete equity and make the bank insolvent. 3.3. Concentration and competition measures First, based on the structural approach, the degree of market concentration is used. Market concentration is measured as the ratio of the assets of the three largest banks to the total assets of the banking system in the country in question (CR3). Second, a nonstructural indicator, the Lerner index (LERNER), is used to measure the degree of competition. This indicator has been widely used in recent bank research.11 The Lerner index captures the capacity of price power by calculating the difference between price and marginal cost as a percentage of price.12 The degree of competition is given by the range 0 < Lerner index < 1. In the case of perfect 10 Hillegeist et al. (2004) use this approach to assess the probability of bankruptcy and they note that ‘‘since expected returns cannot be negative, we set the expected growth rate equal to the risk-free rate in these cases (p. 10)’’. Bharath and Shumway (2008) also use the risk-free rate to replace the expected return on assets as a robustness check (p. 1348). In our sample, the risk-free rates range between 0.20 and 5, whereas the expected returns are negative during the crisis period. Therefore, we follow these two studies and replace the expected return with the risk-free rate when the former is negative. 11 For example, see Claessens and Laeven (2004), Maudos and Fernández de Guevara (2004), Fernández de Guevara et al. (2005), Berger et al. (2009), and Maudos and Solís (2009). 12 The H-statistic, developed by Panzar and Rosse (1987), is an alternative tool for inferring the degree of competition in the banking industry. It is computed from reduced form revenue equations, and it measures the sum of the elasticities of a bank’s revenue with respect to the bank’s input prices (Claessens and Laeven, 2004). A critical feature of the Panzar Rosse H-statistic is that the test must be undertaken in long-run equilibrium. 3.4. Other control variables Following Schaeck and Cihak (2008), Laeven and Levine (2009) and Uhde and Heimeshoff (2009), we also include a range of bankspecific variables. A bank’s asset size (SIZE) is defined as the logarithm of its total assets. The ratio of loan-loss provisions to total assets (LLP) is used to measure output quality and the way in which managers invest in high risk assets. The net interest margin (NIM) is employed to track the profitability of a bank’s investing and lending activities. Beck et al. (2006a) argue that there are two reasons why crosscountry differences in bank regulatory policies and national institutions should be considered in assessing the relationship between bank competition and financial stability. First, this approach provides a simple robustness test for the competition-stability relationship. Second, it presents additional information about the links between bank regulations, national institutions, and financial stability. Hence, following previous studies (Beck et al. 2006a; Laeven and Levine 2009; Delis et al. 2011, and Goddard et al. 2011), we also control for bank regulations and institutional environments in investigating the effects of concentration and competition on bank stability. Deposit insurance is a dummy variable that takes a value of one if a country has explicit deposit insurance and a value of zero otherwise.15 Credible deposit insurance can enhance financial stability by decreasing the likelihood of depositor runs. Conversely, if the capital positions and risk-taking of insured institutions are not supervised carefully, insurers tend to accrue loss exposures that undermine bank stability over the long-run. Capital requirement indicates the minimum capital requirement (capital-to-assets ratio) per coun13 Loan revenue data do not separate earned income from fixed income investments, and the financial costs of deposits are included with those of other liability products. 14 Appendix A presents the translog cost function used to estimate bank marginal cost. 15 In our sample, five countries (Australia, China, Sri Lanka, Pakistan, and Thailand) do not have deposit insurance. 69 Xiaoqing (Maggie) Fu et al. / Journal of Banking & Finance 38 (2014) 64–77 Table 2 Descriptive statistics. Variable Probability of bankruptcy Z-score CR3 Conventional Lerner index (LERNER) Efficiency-adjusted Lerner index (E-LERNER) Bank size (SIZE) Loan loss provision% (LLP) Net interest margin% (NIM) Real GDP growth% (RGDP) Global financial crisis (CRISIS) Entry restrictions Capital requirements% Deposit insurance Activity restrictions Financial freedom Property rights Listed banks Listed and non-listed banks Obs. Mean Std. dev. Min Max Obs. Mean Std. dev. Min Max 1500 1500 1500 1500 1500 1500 1500 1500 1500 1500 1500 1500 1500 1500 1500 1500 0.18 40.86 0.44 0.31 0.26 16.22 1.80 2.79 3.96 0.28 0.13 8.42 0.86 10.84 44.85 57.56 0.18 32.69 0.11 0.14 0.14 1.60 4.27 1.56 3.88 0.45 0.25 0.69 0.35 1.97 14.43 18.84 0.54 2.69 0.26 1.26 1.32 10.11 0 1.49 6.29 0 0 8 0 4 30 20 0 196.64 0.99 0.68 0.65 21.05 149 11.04 14.47 1 0.92 10 1 16 90 90 4069 4069 4069 4069 4069 4069 4069 4069 4069 4069 4069 4069 4069 4069 4069 39.78 0.46 0.32 0.27 15.59 1.69 2.94 5.37 0.27 0.09 8.32 0.75 11.28 44 52.45 47.14 0.13 0.18 0.19 2 3.82 2.69 4.23 0.44 0.22 0.63 0.43 2.59 16.59 22.03 40.28 0.26 2.75 2.79 1.78 0 60.57 6.29 0 0 8 0 4 30 20 681.92 0.99 0.82 0.81 21.4 149 39.36 14.47 1 0.92 10 1 16 90 90 The probability of bankruptcy is a market-based bank-level measure of financial fragility that is calculated using the method developed by Bharath and Shumway (2008). The Z-score is an accounting-based bank-level indicator of financial stability. The conventional Lerner index (LERNER) is a bank-level indicator of bank competition that is calculated as the difference between price and marginal cost as a percentage of price using fixed effect regression. The efficiency-adjusted Lerner index (ELERNER) is a bank-level efficiency-adjusted indicator of bank competition calculated as the difference between price and marginal cost as a percentage of price using a stochastic frontier analysis approach. CR3 is a country-level structural indicator of bank concentration calculated as the fraction of assets held by the three largest banks in each country. SIZE is the natural logarithm of total assets in thousands of USD. LLP is the ratio of loan loss provisions to total assets. NIM is the ratio of net interest income to interest-bearing (total earning) assets. RGDP is the rate of real GDP growth. Entry restrictions is the ratio of entry applications denied to applications received from domestic and foreign banks. Global financial crisis is a dummy variable that takes a value of one for the years 2008–2009 and zero otherwise. Activity restrictions is an aggregate index measure that indicate whether bank activities in the securities, insurance and real estate markets and the ownership and control of non-financial firms are unrestricted, permitted, restricted or prohibited. The capital requirement is the minimum regulatory capital-to-assets ratio per country. Financial freedom is an indicator of the openness of the banking system; it functions as a composite index of government interference in the financial sector, including regulations on financial products, allocation of credit, whether foreign banks are free to operate and other factors. Deposit insurance is a dummy variable that takes a value of one if the country has deposit insurance and zero otherwise. Property rights are measured using the Heritage Foundation property rights protection index. try, which is interpreted as another entry barrier indicator. In addition, greater equity capital encourages prudent behavior. Hence, greater capital requirements are expected to indicate a more stable banking market. The variable entry restrictions is the ratio of the number of banking licence applications denied to the number of applications received from domestic and foreign entities. The effect of this control variable on bank stability is expected to be ambiguous because restricted entry may reduce competitive pressure and thereby increase domestic bank profits, but it may also induce market inefficiencies. The rate of real GDP growth (RGDP) is used as a proxy for the fluctuations in economic activity. CRISIS is a dummy variable that takes a value of one for the years 2008–2009 and zero otherwise. To deal with the potential presence of endogeneity and heteroskedasticity, following Berger et al. (2009), we employ a GMM panel data estimator using activity restrictions, financial freedom, and property rights as instruments. Activity restrictions are a key determinant of the scope of a bank’s ability to provide fee-paying services. This measure reflects the level of regulatory restrictiveness for bank participation in securities market, insurance activities, real estate activities, and the ownership of non-financial firms. Financial freedom is an indicator of the openness of a financial system. This measure indicates the extent of government involvement in the financial sector, considering regulation, financial products, and the allocation of credit; the freedom of foreign banks to operate; and the degree of regulation of financial market activities. Finally, the protection of property rights is an important pre-requisite for a well-functioning financial system. A higher value of the Heritage Foundation property rights protection index signifies weaker protection of property rights. 4. Data The sample data focus on commercial banks in 14 Asia Pacific economies over 2003 and 2010. Financial information and stock market information, converted to US dollars, are obtained from the Bankscope database by Bureau van Dijk and are supplemented by information from Datastream. Banking sector concentration ratios are obtained from the updated version of the World Bank database on financial development structures and supplemented by the Bankscope database; real GDP growth data are taken from the World Economic Outlook by the International Monetary Fund (IMF); and information on regulations and the institutional environment come from several sources, including the World Bank database on ‘‘Bank Regulation and Supervision’’ (developed by Barth et al., 2001 and updated by Barth et al., 2006, 2008 and Barth et al., 2012a) and the 2010 index of Economic Freedom, which was published by The Wall Street Journal and The Heritage Foundation.16 After excluding banks with (1) missing, negative or zero values for the cost function needed to calculate the Lerner index, (2) missing values for loan loss provisions, and (3) missing Z-score values, we obtain a final sample that includes unbalanced panel data for 14 Asia Pacific economies, with 4069 observations (see Appendix B). The subsample for listed banks includes 1500 observations (see Appendix C). All of the data are deflated by their corresponding year CPIs to the 2003 price level to control for inflation effects. Table 2 presents the descriptive statistics for all variables used in the study. All bank-level variables are averaged by bank for the period from 2003 to 2010, and the country-level variables are averaged by country for the same study period. Comparing listed banks with non-listed banks in the sample, Table 2 shows that on average listed sample banks enjoy a higher Z-score, lower loan loss provision ratio, and larger in size, whereas non-listed banks have a higher Lerner index and rely more on interest income. Moreover, markets with listed banks are less concentrated, subject to less activity restrictions, have a higher capital requirement ratio, and enjoy more financial freedom and better property rights protection. Listed banks join the deposit insurance scheme in the markets with more entry restrictions. 16 Please refer to Table 1 for details. 70 Xiaoqing (Maggie) Fu et al. / Journal of Banking & Finance 38 (2014) 64–77 Table 3 Concentration, Competition, and Stability measures. Listed banks Obs. Listed and non-listed banks CR3 LERNER E-LERNER Prob. of bankruptcy Obs. CR3 LERNER ELERNER Z-score Panel A: mean by year 2003 153 2004 167 2005 185 2006 188 2007 197 2008 203 2009 211 2010 196 0.4748 0.4305 0.4181 0.4175 0.4297 0.4472 0.4483 0.4550 0.3191 0.3351 0.3273 0.3116 0.3028 0.2585 0.3151 0.3336 0.2712 0.2885 0.2807 0.2637 0.2529 0.2056 0.2651 0.2828 0.2004 0.0940 0.0834 0.0799 0.1862 0.2561 0.3369 0.1523 423 460 519 549 565 552 534 467 0.4767 0.4596 0.4593 0.4624 0.4644 0.4661 0.4655 0.4647 0.3154 0.3363 0.3173 0.3076 0.3142 0.2826 0.3206 0.3545 0.2724 0.2943 0.2750 0.2645 0.2695 0.2351 0.2740 0.3072 39.2417 42.0883 40.778 40.2366 39.448 37.3431 39.9518 39.4407 Panel B: mean by country Australia 48 China 35 Hong Kong 32 India 226 Indonesia 134 Japan 597 Korea 31 Malaysia 24 Pakistan 98 Philippines 78 Singapore 16 Sri Lanka 55 Taiwan 62 Thailand 64 0.6827 0.5191 0.7064 0.3409 0.4562 0.4089 0.5057 0.4563 0.4376 0.5088 0.9156 0.6165 0.2719 0.4550 0.2954 0.4343 0.4268 0.3093 0.2653 0.3091 0.3486 0.4315 0.2671 0.3175 0.4889 0.2669 0.2753 0.3622 0.2291 0.3811 0.3823 0.2598 0.2270 0.2538 0.3009 0.3842 0.2316 0.2769 0.4410 0.2365 0.2236 0.3147 0.0820 0.1295 0.0447 0.1330 0.1265 0.2616 0.1872 0.0362 0.0936 0.1145 0.0670 0.1409 0.1974 0.1167 111 700 193 447 409 988 126 191 174 184 67 81 253 145 0.6577 0.5387 0.6971 0.3389 0.4583 0.4077 0.5033 0.4571 0.4404 0.4953 0.9145 0.6171 0.2712 0.4539 0.3206 0.3914 0.3683 0.3106 0.2991 0.3074 0.3380 0.3945 0.2129 0.2448 0.3315 0.2147 0.3126 0.2520 0.2740 0.3518 0.3281 0.2663 0.2661 0.2521 0.2866 0.3547 0.1766 0.2070 0.2856 0.1857 0.2646 0.2070 44.5649 40.6025 41.2276 42.8772 47.6483 39.9749 28.4216 47.0183 17.5765 40.8976 62.3927 34.9779 28.714 34.2761 The probability of bankruptcy is a market-based bank-level measure of financial fragility that is calculated using the method developed by Bharath and Shumway (2008). The Z-score is an accounting-based bank-level indicator of financial stability. LERNER is a bank-level indicator of bank competition calculated as the difference between price and marginal cost as a percentage of price using fixed effect regression. ELERNER is a bank-level efficiency-adjusted indicator of bank competition calculated as the difference between price and marginal cost as a percentage of price using a stochastic frontier analysis approach. CR3 is a country-level structural indicator of bank concentration calculated as the fraction of assets held by the three largest banks in each country. Table 3 presents a summary of our concentration, competition and bank stability measures from 2003 to 2010 for 14 Asia Pacific countries by year (panel A) and by country (panel B). The pattern derived from the sample of listed banks is quite similar to that from the whole sample. Thus, we focus on the sample of listed banks. Based on the market measure of bank stability, bank risk increased overall from 2007 to 2009. The results imply that bank performance was most affected over 2009, a finding also confirmed by the IMF (2009). Bank risk decreased dramatically in 2010, which implies that this region was initially hit hard by the global crisis but has rapidly rebounded. Comparing bank risk by country using the market-based measure indicates that on average, banks operating in Malaysia, Hong Kong, and Singapore are exposed to lower risk than those in other Asia Pacific economies. Meanwhile, Japanese, Taiwanese, and Korean banks are the most fragile. When the findings regarding market concentration and competition are compared by year, the structural and non-structural measures reveal different trends. The trend for the Lerner index (non-structural measure) is descending between 2005 and 2008 suggesting a decrease in pricing power, whereas industry concentration (structural measure) increases over the same period. The Lerner index exhibits varying degrees of market power across countries. Singapore has the highest efficiency-adjusted Lerner index value (0.44), whereas Taiwan has the lowest value (0.22). Concentration also varies across countries. The results suggest that concentration of assets held by the three largest banks in Singapore is 91.6%, indicating that the system is dominated by these banks. However, concentration in Taiwan is relatively low at 27.2%. 5. Empirical results Table 4 presents the main results that indicate the impact of bank concentration and competition on financial stability. Two different risk exposure indicators are used as the dependent variables that proxy for financial stability: the probability of bankruptcy for listed banks (specifications 1–4) and the Z-score for both listed and non- listed banks (specifications 5–8). We use the First Stage F-test and the Hansen’s J test to test for the relevance and validity of the instruments of the degree of market power, respectively. The Second Stage F-test is also used to test for goodness of fit for all regression models. The results support the use of the GMM panel data estimator. Based on market measures, Table 4 indicates the significantly negative correlation for the Lerner index used in regression (1), suggesting that increases in the degree of bank pricing power are positively related to individual bank stability in Asia Pacific. Meanwhile, the coefficient of bank concentration is significantly positive, indicating that banks in more concentrated markets face greater risk. The robustness of the results is verified using regression specifications (2)–(4). The findings lend support to the neutral view of the competition-stability nexus as both the competitionstability and competition-fragility views can be simultaneously valid. In this case, excessive concentration and lower pricing power simultaneously lead to bank fragility. Our findings vary from those of most previous studies which focus on banks operating in a specific geographic region such as Latin America,17 or a broader area.18 However, the results findings (we believe) are not surprising for banks operating in Asia Pacific. On the one hand, most countries in this region (developing countries in particular) have adopted ‘‘finance for growth’’ policies for a long period. The protected, larger banks in these concentrated banking systems 17 Yeyati and Micco (2007) use a sample of commercial banks from eight Latin American countries over the period 1993–2002 and find a positive link between bank risk (as measured by the Z-score) and competition (as captured by the Panzar and Rosse, 1987, H-statistic), whereas the coefficient of bank concentration is insignificant. 18 Using data from 31 systemic banking crises in 45 countries for the period from 1980 to 2005, Schaeck et al. (2009) show that competition reduces the likelihood of a crisis and increases the time to crisis and concentration is positively related to financial fragility. Anginer et al. (2012) use a sample of 1,872 publicly traded banks from 63 countries between 1997 and 2009 and find a positive relationship between competition and systemic stability and a negative relationship between concentration and systemic stability. 71 Xiaoqing (Maggie) Fu et al. / Journal of Banking & Finance 38 (2014) 64–77 Table 4 Concentration, competition, and financial stability. Dependent variable: prob. of bankruptcy LERNER CR3 SIZE LLP NIM RGDP CRISIS (1) (2) (3) (4) (5) (6) (7) (8) 1.3250** (0.5237) 2.2529*** (0.5459) 0.0700*** (0.0271) 0.5129 (0.8826) 0.0260 (0.0255) 0.0040 (0.0031) 0.0642** (0.0250) 1.0569** (0.5258) 2.5413*** (0.5498) 0.0623** (0.0269) 0.2709 (0.8516) 0.0195 (0.0239) 0.0015 (0.0031) 0.0822*** (0.0252) 0.1791*** (0.0623) 1.4570*** (0.5175) 2.2277*** (0.5612) 0.0641** (0.0286) 0.9785 (0.9875) 0.0277 (0.0266) 0.0038 (0.0032) 0.0622** (0.0257) 1.5704*** (0.5559) 2.1215*** (0.5727) 0.0671** (0.0282) 0.7478 (0.9410) 0.0296 (0.0275) 0.0052 (0.0033) 0.0480* (0.0272) 53.4755*** (18.1775) 46.3050*** (9.0731) 3.0907*** (0.9571) 23.1895 (33.3662) 0.2372 (0.1593) 0.0475 (0.0826) 1.1194 (0.6965) 50.0600*** (18.4541) 49.0417*** (9.5586) 3.1619*** (0.9242) 28.1637 (33.6761) 0.2588 (0.1590) 0.0707 (0.0813) 0.9282 (0.7283) 3.8920 (3.1427) 50.5653*** (17.0571) 46.6299*** (8.8796) 3.0507*** (0.9380) 27.5442 (34.3624) 0.2575* (0.1539) 0.0409 (0.0807) 1.0695 (0.6760) 57.0264*** (20.4786) 45.7716*** (9.4445) 3.0621*** (0.9675) 20.3329 (33.4386) 0.2111 (0.1730) 0.0456 (0.0841) 1.2774 (0.8057) Entry restrictions Capital Requirement 0.0587 (0.0435) Deposit Insurance First Stage F-test (LERNER) First Stage F-test (CR3) Hansen’s J v2 (P-value) Second Stage F-test No. of observations Dependent variable: Z-score 8.25*** 117.24*** 0.859 (0.3541) 66.85*** 1320 8.01*** 134.54*** 0.126 (0.7226) 69.60*** 1320 8.72*** 120.29*** 1.064 (0.3023) 54.38*** 1320 1.3472 (1.0743) 0.0618** (0.0309) 7.78*** 108.27*** 2.619 (0.1056) 51.07*** 1320 10.36*** 234.57*** 0.871 (0.3508) 16.51*** 3299 9.91*** 226.27*** 0.503 (0.4783) 15.49*** 3299 11.23*** 236.17*** 0.849 (0.3569) 15.21*** 3299 0.9649 (1.5376) 9.68*** 233.67*** 1.169 (0.2797) 14.14*** 3299 Results from GMM panel data estimations to explain the impacts of bank concentration and competition on financial stability. The first dependent variable (specifications 1– 4) is the probability of bankruptcy, which is a market-based bank-level measure of financial fragility that is calculated using the method developed by Bharath and Shumway (2008). The second dependent variable (specifications 4–8) is Z-score, which is an accounting-based bank-level indicator of financial soundness. LERNER is a bank-level indicator of bank competition calculated as the difference between price and marginal cost as a percentage of price using the stochastic frontier analysis approach. CR3 is a country-level structural indicator of bank concentration calculated as the fraction of assets held by the three largest banks in each country. SIZE is the natural logarithm of total assets in thousands of USD. NIM is the ratio of net interest income to interest-bearing (total earning) assets. LLP is the ratio of loan loss provisions to total assets. RGDP is the rate of real GDP growth. Crisis is a dummy variable that takes a value of one for the years 2008–2009 and zero otherwise. Deposit insurance is a dummy variable that takes a value of one if the country has deposit insurance and zero otherwise. Capital requirement is the minimum regulatory capital-to-assets ratio for each country. Entry restrictions is the ratio of entry applications denied to applications received from domestic and foreign banks. The instrumental variables include activity restrictions, financial freedom, and property rights. *** Indicate significance at the 1% levels, respectively. Robust standard errors are in parentheses. ** Indicate significance at the 5% levels, respectively. Robust standard errors are in parentheses. * Indicate significance at the 10% levels, respectively. Robust standard errors are in parentheses. channel resources to ‘‘priority sectors’’. Their borrowers become ‘‘too large to fail’’, and hence, banks lose their incentive to develop an appropriate credit culture and may find themselves faced with relatively high levels of non-performing loans. In addition, banks are the most important source of public savings in the majority of Asia Pacific economies, which also makes them ‘‘too-big or too-systemicallyimportant-to-fail’’ possibly leading to moral hazard problems (Sheng, 2009). On the other hand, according to Elzinga and Mills (2011), the Lerner index is a ‘‘better indicator of a firm’s price-setting discretion than its ability to sustain monopoly prices’’ (p. 1). Thus, the results may imply that banks in this region are able to obtain greater discretion in terms of price-setting to boost their profits and reduce their insolvency risk through channels other than increased concentration (product differentiation).19 In other words, greater 19 For example, as indicated in a survey report provided by the IDC Financial Insights Asia/Pacific division, banks across the Asia Pacific region are considering the uniquely Asian opportunities for sustainable growth that have been generated by governments identifying new priority industries such as aerospace and defense in Singapore, green technology in China, and high technology in Taiwan and China. Banks in this region have identified two strategic technology initiatives that they can use to expand their reach and profitability – risk management and channel efficiency. The focus on risk management has mainly been generated by the growing availability and sophistication of analytics technologies, whereas the emphasis on channel efficiency stems from the vast expansion of mobility across the region. As a result, there are a growing number of innovative strategic IT projects that drive business differentiation in Asia Pacific banks (IDC, 2012). pricing power enhances the ability of banks to generate higher ‘‘capital buffers’’ to protect them against external macroeconomic and liquidity shocks. Among other control variables, the significantly positive coefficient for bank size suggests that larger banks face greater risk. Laeven and Levine (2009) also find the same result. The crisis dummy is positively and significantly related to bank risk, which implies that banks are more fragile during financial turmoil. In considering regulatory and institutional environments, we find that entry restrictions are significantly and negatively associated with the probability of bankruptcy, which suggests that a lower level of competitive pressure induces greater fragility for listed banks. This result is consistent with the empirical findings of Uhde and Heimeshoff (2009), who find that restricted market entry is likely to enhance bank stability in Western European banking. Deposit insurance is significantly associated with a higher probability of bankruptcy, supporting the moral hazard argument regarding excessive risk-taking when a financial safety net is available. Again, the result is similar to the findings of Laeven and Levine (2009). Table 4 also examines the impact of bank concentration and competition on the soundness of both listed and non-listed banks using the Z-score as a proxy for financial stability. The results of regressions (5)–(8) show that the Lerner index is positively and significantly related to the Z-score, whereas the coefficient of concentration is significantly negative. The finding confirms that lower pricing power and excessive concentration may simulta- 72 Xiaoqing (Maggie) Fu et al. / Journal of Banking & Finance 38 (2014) 64–77 neously lead to bank fragility. Meanwhile, the coefficient on bank size is significantly negative, which is also consistent with our previous finding that larger banks face greater risk. We undertake a variety of robustness tests on our main models. First, following Koetter et al. (2008, 2012) and Turk Ariss (2010), we use the efficiency-adjusted Lerner index to replace the conventional Lerner index as a measure of banking market competition. Our main results are similar (see Appendix D). Second, following Berger et al. (2009), we also use a quadratic term for the Lerner index (namely, LERNER2) to capture a possible non-linear relationship between competition and stability. The coefficient of the quadratic term is significantly negative for the probability of bankruptcy model and positive for the Z-score model. Based on the inflection points calculated, the results remain unchanged and are reported in Appendix E. Third, we use Tobit regression models to estimate the competition-stability nexus for listed banks, because the probability of bankruptcy is between zero and one. The main results are maintained (see Appendix F). Fourth, we employ the Lerner index estimated using a three-input cost function specification replacing the one estimated using the twoinput specification. Overall, the key findings remain unchanged (see Appendix G). 6. Conclusions This study investigates the competition-stability nexus using cross-country data from 14 Asia Pacific countries for the period from 2003 to 2010. Both market-based and accounting-based risk measures are employed to measure individual bank fragility for the first time. Meanwhile, both concentration and competition indicators are included in the models to determine their impacts on bank stability. The initial results show a substantial shift in the average risk exposure of banks over the entire sample period, accompanied by gradual increases in concentration and competition. The main results not only highlight the significant negative association between the Lerner index and individual bank risk but also illustrate the significant positive relationship between the concentration ratio and bank fragility. In other words, the findings provide support for the neutral view of the competitionstability nexus, indicating that the competition-stability and competition-fragility theories can simultaneously apply to Asia Pacific banking markets. The results also confirm that bank concentration is an insufficient measure of bank competitiveness. Overall our findings hold when we control for an array of bank-specific, macroeconomic, regulatory and institutional factors. In addition, our analyses indicate that smaller bank size may improve financial soundness. In terms of regulations and institutions, the results show that tougher entry restrictions may enhance bank stability, whereas stronger deposit insurance schemes negatively influence financial soundness. Unsurprisingly, banks are found to be more fragile during the recent financial crisis. The findings highlight several important issues for policymakers in Asia Pacific economies. First, to prevent excessive concentration, regulators should adopt a more cautious approach to evaluating and approving merger and acquisitions at the national level. Policymakers should also seek to reduce policy lending by encouraging banks to develop stronger independent credit cultures. Second, to improve the efficiency of resource allocation within an economy, regulators should encourage financial innovation among banks based on the premise of effective risk management, which also enables banks to become more stable via product innovation. Third, a certain level of entry restriction is needed for both domestic and foreign entrants to maintain financial soundness. This suggests there should be greater scrutiny of foreign banks that seek to make acquisitions in Asia Pacific countries. Finally, deposit insurance schemes appear to foster moral hazard and risk shifting behavior so any policy moves to increase coverage should be treated with caution as this could have the unintended consequence of boosting risk as opposed to promoting stability. Appendix A. Translog cost function for estimating bank marginal cost To derive MCTAit , the following translog cost function is estimated while capturing bank specificities using bank fixed effects: ln TCit ¼ a0 þ 2 X a1 ln wjit þ j¼1 2 X 2 1X ajk ln wkit þ b1 ln TAit 2 j¼1 k¼1 2 X 1 1 2 j þ b2 ðlnTAit Þ þ b2j ln TAit lnwit þ c1t T c2t T2 2 2 j¼1 þ 2 X c3t T ln wjit þ c4t T ln TAit þ ei ð9Þ j¼1 MCTAit ¼ @TCit ¼ @TAit b1 þ b2 ln TAit þ ! 2 X TCit b2j ln wjit þ c4t T TA it j¼1 ð10Þ where TCi is the bank’s total costs, TAi is the total assets, wi is the price of the factors of production, defined as follows: w1 is the price of purchased funds: interest expenses/total deposits and short-term funding, w2 is the price of labor and physical capital: non-interest Table B1 Number of both listed and non-listed banks in sample. Source: BankScope (Bureau Van Dijk). 2003 2004 2005 2006 2007 2008 2009 2010 Total Australia China Hong Kong India Indonesia Japan Korea Malaysia Pakistan Philippines Singapore Sri Lanka Taiwan Thailand 8 46 11 58 48 130 17 22 16 14 4 9 24 16 9 54 25 57 51 129 17 23 17 22 6 10 24 16 13 71 30 56 56 126 19 25 22 28 9 10 36 18 17 98 29 58 55 124 18 24 24 27 10 11 35 19 19 117 28 58 56 127 16 24 25 23 10 9 33 20 18 110 26 56 55 127 15 24 26 24 9 9 33 20 14 107 24 54 52 122 15 25 23 24 10 11 34 19 13 97 20 50 36 103 9 24 21 22 9 12 34 17 111 700 193 447 409 988 126 191 174 184 67 81 253 145 Total 423 460 519 549 565 552 534 467 4069 73 Xiaoqing (Maggie) Fu et al. / Journal of Banking & Finance 38 (2014) 64–77 Table C1 Number of listed banks in sample. Source: BankScope (Bureau Van Dijk). Australia China Hong Kong India Indonesia Japan Korea Malaysia Pakistan Philippines Singapore Sri Lanka Taiwan Thailand Total 2003 2004 2005 2006 2007 2008 2009 2010 Total 6 2 4 14 12 74 4 3 7 8 2 5 4 8 6 2 4 22 14 74 4 3 8 10 2 6 4 8 6 3 4 26 17 75 4 3 11 10 2 7 9 8 6 3 4 27 18 75 4 3 12 10 2 7 9 8 6 4 4 31 18 76 4 3 15 10 2 7 9 8 6 5 4 35 20 75 4 3 15 10 2 7 9 8 6 9 4 36 20 77 4 3 15 10 2 8 9 8 6 7 4 35 15 71 3 3 15 10 2 8 9 8 48 35 32 226 134 597 31 24 98 78 16 55 62 64 153 167 185 188 197 203 211 196 1500 Table D1 Concentration, competition, and financial stability (using efficiency-adjusted Lerner index). Dependent variable: prob. of bankruptcy E-LERNER CR3 SIZE LLP NIM RGDP CRISIS (2) (3) (4) (5) (6) (7) (8) 1.2413** (0.4886) 2.2323*** (0.5494) 0.0610** (0.0252) 0.4634 (0.8652) 0.0246 (0.0249) 0.0041 (0.0031) 0.0638** (0.0250) 0.9908** (0.4899) 2.5235*** (0.5531) 0.0551** (0.0249) 0.2298 (0.8345) 0.0184 (0.0233) 0.0016 (0.0031) 0.0820*** (0.0252) 0.1804*** (0.0618) 1.3632*** (0.4824) 2.2064*** (0.5641) 0.0543** (0.0266) 0.9220 (0.9635) 0.0262 (0.0260) 0.0039 (0.0032) 0.0618** (0.0257) 1.4688*** (0.5183) 2.1004*** (0.5761) 0.0564** (0.0263) 0.6894 (0.9221) 0.0280 (0.0268) 0.0053 (0.0033) 0.0476* (0.0272) 50.3293*** (17.0441) 45.6700*** (9.1422) 2.6723*** (0.9133) 24.1559 (33.1960) 0.2416 (0.1571) 0.0466 (0.0824) 1.1244 (0.6966) 47.1489*** (17.2802) 48.4773*** (9.6322) 2.7750*** (0.8851) 29.0915 (33.4751) 0.2626* (0.1570) 0.0703 (0.0812) 0.9327 (0.7267) 3.9543 (3.0849) 47.6084*** (16.0116) 46.0288*** (8.9477) 2.6554*** (0.9002) 28.4276 (34.1855) 0.2615* (0.1521) 0.0401 (0.0806) 1.0746 (0.6764) 53.4184*** (19.1364) 45.1490*** (9.5238) 2.6184*** (0.9121) 21.5510 (33.2407) 0.2178 (0.1702) 0.0448 (0.0838) 1.2706 (0.8029) Entry restrictions Capital requirement 0.0582 (0.0428) 1.3380 (1.0507) ** Deposit insurance First Stage F-test (ELERNER) First Stage F-test (CR3) Hansen’s J v2 (P-value) Second Stage F-test No. of observations Dependent variable: Z-score (1) *** 8.52 117.24*** 0.856 (0.3547) 66.52*** 1320 *** 8.29 134.54*** 0.120 (0.7291) 69.41*** 1320 *** 9.02 120.29*** 1.061 (0.3029) 54.15*** 1320 0.0619 (0.0308) 8.05*** 108.27*** 2.631 (0.1048) 50.75*** 1320 *** 10.78 234.57*** 0.864 (0.3526) 16.59*** 3299 *** 10.34 226.27*** 0.492 (0.4828) 15.52*** 3299 *** 11.66 236.17*** 0.843 (0.3586) 15.26*** 3299 0.8995 (1.5083) 10.15*** 233.67*** 1.140 (0.2857) 14.26*** 3299 Results from GMM panel data estimations to explain the impacts of bank concentration and competition on financial stability. The first dependent variable (specifications 1– 4) is the probability of bankruptcy, which is a market-based bank-level measure of financial fragility that is calculated using the method developed by Bharath and Shumway (2008). The second dependent variable (specifications 4–8) is Z-score, which is an accounting-based bank-level indicator of financial soundness. ELERNER is a bank-level efficiency-adjusted indicator of bank competition calculated as the difference between price and marginal cost as a percentage of price using the stochastic frontier analysis approach. CR3 is a country-level structural indicator of bank concentration calculated as the fraction of assets held by the three largest banks in each country. SIZE is the natural logarithm of total assets in thousands of USD. NIM is the ratio of net interest income to interest-bearing (total earning) assets. LLP is the ratio of loan loss provisions to total assets. RGDP is the rate of real GDP growth. Crisis is a dummy variable that takes a value of one for the years 2008–2009 and zero otherwise. Deposit insurance is a dummy variable that takes a value of one if the country has deposit insurance and zero otherwise. Capital requirement is the minimum regulatory capital-to-assets ratio for each country. Entry restrictions is the ratio of entry applications denied to applications received from domestic and foreign banks. The instrumental variables include activity restrictions, financial freedom, and property rights. *** Indicate significance at the 1% levels, respectively. Robust standard errors are in parentheses. ** Indicate significance at the 5% levels, respectively. Robust standard errors are in parentheses. * Indicate significance at the 10% levels, respectively. Robust standard errors are in parentheses. expenses/fixed assets,20 T is the time trend that captures the influence of technological changes that lead to shifts in the cost function over time, and e is the error term. Following Hasan and Marton (2003), Soedarmon et al. (2011), Sun and Chang (2011) and Jiang et al. (2013) we use a two input cost function specification (we also re-estimate the translog cost function with three inputs – purchased funds, labor and physical capital – as a further robustness test to investigate market power and risk issues, the sample size falls but results are in-line with the two input specification, (see Appendix G). As usual,21 symmetry restrictions apply to this function (i.e. ajk = akj). Meanwhile, the total cost and input price terms are normalized by w2. This imposes linear 20 Because of the lack of labor data, non-interest expenses are used as a proxy for labor and physical capital costs. 21 See Claessens and Laeven (2004), Maudos and Fernández de Guevara (2004), Fernández de Guevara et al. (2005), Berger et al. (2009), and Maudos and Solís (2009). 74 Xiaoqing (Maggie) Fu et al. / Journal of Banking & Finance 38 (2014) 64–77 Table E1 Test for non-linear relationship. Dependent variable: probability of bankruptcy Dependent variable: Z-score (1) (3) (2) 1.8018** (0.8726) 4.3906* (2.3836) LERNER LERNER2 2.2149*** (0.7124) 4.0066* (2.2827) 0.0771* (0.0419) 0.8852 (2.2487) 0.0236 (0.0600) 0.0031 (0.0064) 0.0145 (0.0465) 0.275 8.52*** 1.70 0.151 (0.6980) 20.92*** 1320 ELERNER ELERNER2 SIZE LLP NIM RGDP CRISIS Inflection point First Stage F-test (LERNER/ELERNER/CR3) First Stage F-test (LERNER2/ELERNER2/CR32) Hansen’s J v2 (P-value) Second Stage F-test No. of observations (4) 51.6104 (37.2177) 143.7211*** (46.0858) 0.1088*** (0.0402) 1.1718 (2.2720) 0.0202 (0.0600) 0.0031 (0.0061) 0.0167 (0.0449) 0.205 8.25*** 2.35* 0.044 (0.8340) 22.25*** 1320 62.2878* (33.1187) 140.1059*** (47.1578) 1.3844 (1.1248) 60.9301 (55.7692) 0.0437 (0.2759) 0.1212 (0.1430) 2.4364** (1.1467) 0.222 10.36*** 9.99*** 0.137 (0.7108) 6.37*** 3299 2.0614 (1.2560) 60.9575 (54.9509) 0.0187 (0.2700) 0.1090 (0.1386) 2.3794** (1.1293) 0.180 10.78*** 7.53*** 0.058 (0.8097) 6.76*** 3299 Results from GMM panel data estimations to explain the impacts of bank concentration and competition on financial stability. The first dependent variable (specifications 1– 2) is the probability of bankruptcy, which is a market-based bank-level measure of financial fragility that is calculated using the method developed by Bharath and Shumway (2008). The second dependent variable (specifications 3–4) is Z-score, which is an accounting-based bank-level indicator of financial soundness. LERNER is a bank-level indicator of bank competition calculated as the difference between price and marginal cost as a percentage of price using the stochastic frontier analysis approach. ELERNER is a bank-level efficiency-adjusted indicator of bank competition calculated as the difference between price and marginal cost as a percentage of price using the stochastic frontier analysis approach. CR3 is a country-level structural indicator of bank concentration calculated as the fraction of assets held by the three largest banks in each country. SIZE is the natural logarithm of total assets in thousands of USD. NIM is the ratio of net interest income to interest-bearing (total earning) assets. LLP is the ratio of loan loss provisions to total assets. RGDP is the rate of real GDP growth. Crisis is a dummy variable that takes a value of one for the years 2008–2009 and zero otherwise. *** Indicate significance at the 1% levels, respectively. Robust standard errors are in parentheses. ** Indicate significance at the 5% levels, respectively. Robust standard errors are in parentheses. * Indicate significance at the 10% levels, respectively. Robust standard errors are in parentheses. Table F1 Concentration, competition, and probability of bankruptcy (Tobit regression). (1) LERNER ELERNER CR3 SIZE LLP NIM RGDP CRISIS Country effect Wald test No. of observations (2) 0.1880*** (0.0331) 0.4596*** (0.0748) 0.0025 (0.0037) 0.1758* (0.0898) 0.0090** (0.0041) 0.0028 (0.0021) 0.1454*** (0.0122) yes 1051.70*** 1500 0.1799*** (0.0310) 0.4588*** (0.0748) 0.0015 (0.0036) 0.1773** (0.0896) 0.0090** (0.0041) 0.0029 (0.0021) 0.1451*** (0.0122) yes 1055.12*** 1500 This table presents the results of Tobit regressions. The dependent variable is the probability of bankruptcy, which is a market-based bank-level measure of financial fragility calculated using the method developed by Bharath and Shumway (2008). LERNER is a bank-level indicator of bank competition calculated as the difference between price and marginal cost as a percentage of price using fixed effect regression. ELERNER is a bank-level efficiency-adjusted indicator of bank competition calculated as the difference between price and marginal cost as a percentage of price using a stochastic frontier analysis approach. CR3 is a country-level structural indicator of bank concentration calculated as the fraction of assets held by the three largest banks in each country. SIZE is the natural logarithm of total assets in thousands of USD. LLP is the ratio of loan loss provisions to total assets. NIM is the ratio of net interest income to interest-bearing (total earning) assets. RGDP is the rate of real GDP growth. Crisis is a dummy variable that takes a value of one for the years 2008–2009 and zero otherwise. *** Indicate significance at the 1% levels, respectively. Robust standard errors are in parentheses. ** Indicate significance at the 5% levels, respectively. Robust standard errors are in parentheses. * Indicate significance at the 10% levels, respectively. Robust standard errors are in parentheses. 75 Xiaoqing (Maggie) Fu et al. / Journal of Banking & Finance 38 (2014) 64–77 Table G1 Concentration, competition, and financial stability – LERNER estimated using a 3-input specification (robustness check). LERNER Dependent variable: Prob. of bankruptcy Dependent variable: Z-score (1) (3) SIZE LLP NIM CRISIS First Stage F-test First Stage F-test (CR3) Hansen’s J v2 Second Stage F-test No. of observations (4) 51.8100* (29.8397) 0.2389 (0.9480) 0.0059 (0.0198) 1.6558 (1.5140) 0.0415 (0.0435) 0.1262*** (0.0195) 1.5496** (0.7050) 0.2819 (0.9521) 0.0054 (0.0199) 1.6724 (1.5641) 0.0406 (0.0448) 0.1260*** (0.0198) 99.7069** (40.3922) 3.7235* (1.9838) 105.5617* (62.6924) 0.0438 (0.3333) 2.0772 (1.3357) 55.6842* (33.7837) 105.8960** (45.1951) 3.9748* (2.2412) 114.6456 (71.6090) 0.0029 (0.3784) 2.2418 (1.5081) 9.98*** 12.68*** 1.897 22.41*** 786 9.48*** 12.68*** 2.266 22.43*** 786 9.07*** 40.15*** 1.193 3.41*** 2120 8.77*** 40.15*** 0.699 2.92*** 2120 ELERNER CR3 (2) 1.5303** (0.6683) Using the three-input specification to derive LERNER measures the number of observations reduces from 3299 to 2120 for listed and non-listed banks, and from 1320 to 786 for listed banks. We have to drop RGDP in our GMM model to avoid multicollineary problems, because the correlation coefficient between RGDP and CRISIS is 0.4548 for listed banks and 0.4222 for listed and non-listed banks. Results from GMM panel data estimations explain the impact of bank concentration and competition on financial stability. The first dependent variable (specifications 1–2) is the probability of bankruptcy, which is a market-based bank-level measure of financial fragility calculated using the method developed by Bharath and Shumway (2008). The second dependent variable (specifications 3–4) is Z-score, which is an accounting-based bank-level indicator of financial soundness. LERNER is a bank-level indicator of bank competition calculated as the difference between price and marginal cost as a percentage of price using the stochastic frontier analysis approach. In this case the LERNER is calculated using a three input specification (purchased funds, labor and physical capital). CR3 is a countrylevel structural indicator of bank concentration calculated as the fraction of assets held by the three largest banks in each country. SIZE is the natural logarithm of total assets in thousands of USD. NIM is the ratio of net interest income to interest-bearing (total earning) assets. LLP is the ratio of loan loss provisions to total assets. Crisis is a dummy variable that takes a value of one for the years 2008–2009 and zero otherwise. The instrumental variables include activity restrictions, financial freedom, and property rights. Overall, the key findings remain unchanged. *** Indicate significance at the 1% levels, respectively. Robust standard errors are in parentheses. ** Indicate significance at the 5% levels, respectively. Robust standard errors are in parentheses. * Indicate significance at the 10% levels, respectively. Robust standard errors are in parentheses. homogeneity to ensure that the cost minimizing bundle does not change if all of the input prices are multiplied by the same positive scalar. Thus, only changes in the ratios of the input prices affect the allocation of inputs. Following Lozano-Vivas and Pasiouras (2010), we also include ln(equity) in the efficiency model to control for the effect of risk. We then use the system GMM model to test the link between market power and financial stability. The key results are reported in Appendix G and remain the same. In addition, following Koetter et al. (2008), we estimate Eq. (10) using a stochastic cost frontier approach and calculate marginal costs (MC SFA TAit ). Appendix B See Table B1. Appendix C See Table C1. Appendix D See Table D1. Appendix E See Table E1. Appendix F See Table F1. Appendix G See Table G1. References Acharya, V., Richardson, M. (Eds.), 2009. Restoring Financial Stability: How to Repair a Failed System? 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