AUDIT QUALITY AND THE MARKET VALUATION OF BANKS’ ALLOWANCE FOR LOAN LOSSES Kiridaran Kanagaretnam McMaster University and Nanyang Technological University E-mail: [email protected] Gopal V. Krishnan College of Business and Economics Lehigh University E-mail: [email protected] Gerald J. Lobo C. T. Bauer College of Business University of Houston E-mail: [email protected] Robert Mathieu School of Business and Economics Wilfrid Laurier University E-mail: [email protected] April 2009 Kanagaretnam, Lobo and Mathieu thank the Social Sciences and Humanities Research Council of Canada (SSHRC) for its financial support. AUDIT QUALITY AND THE MARKET VALUATION OF BANKS’ ALLOWANCE FOR LOAN LOSSES Abstract The recent banking crisis has led market participants to focus on the adequacy and quality of banks’ balance sheet items such as the allowance for loan losses. Beaver and Engel (1996) document that the capital market prices the nondiscretionary component of loan loss allowance negatively and the discretionary component less negatively. Using three measures of audit quality, auditor type (i.e., Big 5 vs non-Big 5), auditor industry specialization/expertise, and audit and nonaudit fees paid to auditors, we examine the effect of audit quality on the market valuation of the discretionary component of the allowance for loan losses. We find that, relative to the nondiscretionary component, the market valuation of the discretionary component of loan loss allowance is higher for banks audited by Big 5 auditors than for banks audited by non-Big 5 auditors. This result holds even after controlling for self-selection, i.e., the possibility that large banks and banks with more complex operations are more likely to hire Big 5 auditors. We also find that the relative market valuation of the discretionary component is increasing in auditor expertise. Our findings regarding the impact of fees paid to auditors indicate that banks paying higher audit fees have higher relative market valuation for the discretionary component of the allowance for loan losses, but banks that pay higher nonaudit fees do not. JEL classification: G14; G21; M41; M42 Key words: Banks; Auditor type; Auditor expertise; Audit Fees; Audit quality; Loan loss Allowance; Market valuation; Signaling AUDIT QUALITY AND THE MARKET VALUATION OF BANKS’ ALLOWANCE FOR LOAN LOSSES I. Introduction This study examines the effects of audit quality on the market valuation of the discretionary and nondiscretionary components of banks’ allowance for loan losses. Beaver and Engel (1996) document that the capital market prices the nondiscretionary component of the loan loss allowance negatively and the discretionary component less negatively. This evidence suggests that the discretionary component of the loan loss allowance conveys favorable information that is incrementally positively priced relative to the nondiscretionary component. The uncertainty associated with estimating the loan loss allowance and the manner in which it is defined under GAAP give management considerable discretion in reporting the allowance. How management uses that discretion has implications for the incremental market valuation of the discretionary allowance for loan losses. If management uses its discretion to communicate its private information, the discretionary loan loss allowance will likely include a relatively larger information component. Alternatively, if management uses its discretion opportunistically, then the discretionary loan loss allowance will likely include a relatively larger noninformation component. The higher the audit quality, the higher the proportion of the information component relative to the noninformation component of the discretionary loan loss allowance and, therefore, . the higher the market valuation of discretionary loan loss allowance relative to the market valuation of nondiscretionary loan loss allowance. The allowance for loan losses provides an appealing context for studying the impact of audit quality because it constitutes a significant percentage of stockholders’ equity (9.5% of book value of equity for our sample). In its May 2006 report on large firm Public Company Accounting Oversight Board (PCAOB) inspection deficiency analysis, the American Institute of Certified Public Accountant’s (AICPA 2006) Center for Public Company Audit Firms finds that banks’ loan loss allowance ranks number one among the various deficiencies found by inspectors. This finding indicates that auditing the loan loss allowance is a challenging task for auditors in general. This study extends the research on the stock market valuation of the allowance for loan losses by examining the role of auditing in enhancing the informational value of the discretionary component of the allowance. Audit quality is defined as the joint probability of detecting and reporting material financial statement errors (DeAngelo 1981). Specifically, this study examines three aspects of audit quality. First, it investigates the implications of auditor type (Big 5 vs. non-Big 5 auditors) for the market valuation of discretionary loan loss allowance. A large body of empirical research documents that higher audit quality is associated with Big 5 auditors.1 Relative to nonBig 5 auditors, Big 5 auditors have greater expertise, resources, and more importantly, market-based incentives (e.g., mitigating the risk of litigation and protecting the auditor’s reputation capital) to constrain the tendency of their audit clients to engage in aggressive reporting. Consequently, we predict that the discretionary component of allowance for loan losses will be more informative for banks audited by Big 5 auditors. Second, this study examines the effect of auditor industry expertise on the market valuation of discretionary loan loss allowance. Auditors who are specialists in the banking industry can better assess the adequacy of the loan loss allowance than nonspecialist auditors. Prior research documents that auditor industry specialization 1 We refer to the brand-name auditors as Big 5 (currently Big 4 after the demise of Arthur Andersen) auditors throughout the paper for simplicity. 3 enhances financial reporting quality and mitigates fraudulent financial reporting (Johnson et al. 1991; Carcello and Nagy 2003; Krishnan 2003b; and 2005). Third, this study examines the effects of audit and nonaudit fees on the market valuation of discretionary loan loss allowance. Audit fees are more likely to reflect effort since the audit market is closely regulated and opportunities to earn rents are limited (Srinidhi and Gul 2007). Therefore, higher audit fees should reduce estimation error in the allowance for loan losses and improve its decomposition into discretionary and nondiscretionary components. If audit fees enhance audit quality, then we should observe a higher market valuation of the discretionary loan loss allowance for firms with higher audit fees. Nonaudit services, on the other hand, are likely to impair auditor independence (Frankel et al. 2002; Srinidhi and Gul 2007). Therefore, we should observe a lower market valuation of the discretionary loan loss allowance for firms with higher nonaudit fees. An examination of whether and how auditing enhances the market valuation of the allowance for loan losses is important for several reasons. First, financial statements are a joint product of management’s representations and the auditor’s assurance to outsiders about the validity of those representations, including the adequacy of the allowance for loan losses. Yet, prior research has not directly addressed the role of auditing in the market valuation of the allowance for loan losses. The allowance for loan losses includes a nondiscretionary and a discretionary component. While the discretionary loan loss allowance could be driven by managerial opportunism, it could also be informative because it could communicate managers’ private, inside information to the capital markets. Since the discretionary loan loss allowance contains a noninformation component as well as an information component that are conditional on 4 managerial discretionary behavior, audit quality could enhance its informational value, and thus contribute to firm value (Krishnan 2003a). Second, an examination of the role of external monitoring mechanisms in the market’s valuation of the discretionary allowance for loan losses opens up a new layer in the linkages between a bank’s accounting information and valuation. Beaver and Engle (1996) in their concluding remarks state that “Establishment of the differential pricing of the components by the capital market provides a basis for future research to refine the estimates of the discretionary component and disentangle the bewildering arrays of motives, proxies, and functional forms, in a manner that is consistent with the observed differential pricing by the market.” Our study can be viewed as a response to Beaver and Engel’s (1996) call for additional research. It adds to the body of research on the stock market valuation of loan loss allowance by examining whether audit quality enhances the information value of discretionary loan loss allowance. By doing so, our study opens up a new layer in the linkages between a bank’s accounting information and firm valuation.2 Finally, a study of the valuation implications of audit quality is interesting in its own right in the wake of the many high-profile scandals that have undermined the credibility of the financial reporting system. Further, specific to the banking industry, the estimation and adequacy of balance sheet items such as the allowance for loan losses is under intense scrutiny following the recent, massive loan write-offs by banks around the world. This crisis has re-focused the attention of market participants on the quality and 2 Related research by Kanagaretnam et al. (2008) examines whether the market valuation of loan loss provisions is conditional on auditor reputation. Our study differs from that study in several important ways. First, we focus on loan loss allowance, a balance sheet item, instead of loan loss provisions. As discussed earlier, there is evidence that auditing loan loss allowance is a challenging task in general. Second, we use a broader definition of audit quality, includinges auditor type, auditor industry specialization and audit fees instead of the narrower audit specialist definition used by Kanagaretnam et al. (2008). Finally, our sample covers more recent periods and is more than twice their sample size. 5 strength of a bank’s balance sheet. In this regard, linking audit quality to the market valuation of the discretionary and nondiscretionary components of loan loss allowance is relevant to capital market participants. Our sample consists of 1,796 bank-year observations representing years 20002006. Following Beaver and Engel (1996), we estimate discretionary loan loss allowance as residuals from a regression of the allowance for loan losses on the reciprocal of book value of common equity, total loans outstanding, net loan write-offs, nonperforming loans, and other bank monitoring related variables. Next, we estimate a valuation model which includes allowance for loan losses, discretionary allowance for loan losses, and nonperforming loans, and permits the coefficients on allowance for loan losses and discretionary allowance for loan losses to differ across Big 5 and non-Big 5 auditors. Similar to Beaver and Engel (1996) we find that the nondiscretionary allowance for loan losses is negatively priced by the market and the discretionary allowance for loan losses is incrementally positively priced. More importantly, we find that the incremental positive pricing of the discretionary allowance is significantly greater for banks audited by Big 5 auditors than for banks audited by non-Big 5 auditors. We also consider the possibility that banks that hire a Big 5 auditor could systematically differ from banks that hire a non-Big 5 auditor (i.e., self-selection). Therefore, we employ the Heckman (1979) two-stage procedure to control for this potential self-selection bias. We find consistent results after controlling for self-selection; the incremental positive pricing of the discretionary allowance for loan losses is significantly greater for banks audited by Big 5 auditors than for banks audited by non-Big 5 auditors. We consider a classification of auditor industry expertise following GAO (2003). 6 The GAO analysis identifies KPMG and PwC as the top-two market leaders in the banking industry after 1997. 3 We find that the incremental positive pricing of the discretionary allowance for loan losses over the nondiscretionary loan loss allowance is greater for banks audited by KPMG/PwC relative to banks audited by other auditors. This result suggests that the market values KPMG/PwC’s leadership in the banking industry and therefore perceives the discretionary allowance of banks audited by KPMG/PwC to be of higher quality relative to the discretionary allowance of non-KPMG/PwC clients. We also investigate the impact of audit and nonaudit fees on the market valuation of the allowance for loan losses. First, we divide our sample firms into two groups each year based on whether their audit (nonaudit) fees are above or below the annual median fee, and examine whether the incremental market valuation of the discretionary component of the allowance is greater for the high-audit-fee (high-nonaudit-fee) group. Second, we adopt the methodology used by Fields et al. (2004) where we estimate abnormal fees and then use these abnormal fees to assess the incremental market valuation of the discretionary loan loss allowance conditional on abnormal audit and nonaudit fees. Our results indicate that the higher market valuation of the discretionary component of the allowance for loan losses relative to the nondiscretionary loan loss allowance is related to audit fees but not to nonaudit fees. Overall, our results indicate that the incremental market valuation of the discretionary allowance for loan losses over the nondiscretionary allowance is conditioned on audit quality, i.e., auditor type, auditor industry specialization and audit fees enhance the relative informativeness of the discretionary component of the allowance for loan losses. 3 According to GAO (2003), KPMG and PwC together had a market share based on total assets audited of 58% in 1997 and 71% in 2002. 7 The rest of this paper is organized as follows. The next section develops the hypotheses. Section three explains the empirical models used to estimate the discretionary component of the allowance for loan losses and the valuation model. Section four describes the sample selection, section five discusses the results, and section six contains the conclusions of the study. II. Hypotheses Using economic theory DeAngelo (1981) argues that auditor size (i.e., Big 5 auditors vs. non-Big 5 auditors) is a proxy for audit quality. She reasons that brand-name auditors (i.e., Big 5 auditors) have greater ability to detect material misstatements in financial statements (expertise) and greater willingness to report what they find (independence) than smaller auditors (i.e., non-Big 5 auditors). Higher expertise is associated with the Big 5 auditors because they not only have more resources but also devote more resources to specialized staff training, peer reviews, and investment in information technology relative to the non-Big 5 auditors (Dopuch and Simunic 1982; Craswell et al. 1995). Similarly, higher independence is associated with the Big 5 auditors because they have higher reputation capital (brand name) at stake relative to the non-Big 5 auditors. Loss of reputation, as Arthur Andersen learned the hard way, could put a Big 5 auditor out of business. Litigation risk also motivates Big 5 auditors to maintain a high level of independence.4 In short, higher audit quality is associated with the Big 5 auditors. Indeed, there is a large body of empirical research that documents that higher audit quality is associated with the Big 5 auditors. Teoh and Wong (1993) find that 4 In the wake of the Enron scandal, PricewaterhouseCoopers, Deloitte & Touche, and Ernst & Young have resigned from more than 1,200 clients to mitigate the risk of litigation (Hindo 2003). 8 earnings response coefficients are higher for clients of Big 5 auditors relative to the clients of non-Big 5 auditors, consistent with the notion that investors perceive earnings to be of higher quality when the auditor is a brand-name auditor. Becker et al. (1996) and Francis et al. (1999) find that earnings management is lower for clients of Big 5 auditors, and Krishnan (2003a) reports higher valuations for discretionary accruals of clients of Big 5 auditors than for non-Big 5 auditors’ clients. In other words, brand-name auditors appear to enhance the information value of discretionary accruals by constraining earnings management. Additionally, Basu et al. (2000) document higher levels of financial reporting conservatism, i.e., more timely reporting of bad news than good news, for clients of Big 5 auditors. Francis and Krishnan (1999) document that only brand-name auditors practice reporting conservatism, i.e., issuing qualified opinions for firms with high accruals. Since accruals are often used to manage earnings, brand-name auditors attempt to reduce the risk of audit failure by issuing modified reports. Though empirical evidence on audit quality in the banking industry is limited, the economic incentives to preserve reputation capital and mitigate the risk of litigation faced by the Big 5 auditors of banks are no different from the incentives they face in other industries. Adequacy of loan loss allowance is a key component of balance sheet quality. In fact, in its May 2006 report on large firm Public Company Accounting Oversight Board (PCAOB) inspection deficiency analysis, the American Institute of Certified Public Accountant’s (AICPA 2006) Center for Public Company Audit Firms indicates that banks’ loan loss allowance ranks number one among the various deficiencies found by inspectors. To the extent that Big 5 auditors provide higher audit quality, they should enhance the information component of the 9 discretionary allowance for loan losses. This line of reasoning leads to our first hypothesis: Hypothesis 1: The incremental stock market valuation of the discretionary component of the loan loss allowance over the nondiscretionary component of the loan loss allowance is greater when the auditor is a Big 5 auditor. Our next hypothesis relates to the linkage between auditor specialization in the banking industry and incremental valuation of discretionary loan loss allowance. While the Big 5/non-Big 5 dichotomy separates auditors in terms of audit quality, industry specialization is another dimension of audit quality. Although a Big 5 auditor may serve clients in multiple industries, the auditor may not have a competitive advantage in all industries the clients represent. One reason is that developing a competitive advantage is very costly or infeasible because of first-mover advantage enjoyed by other auditors, lack of economies of scale, limited human capital with industry expertise, and constrained economic resources. As a result, each Big 5 auditor tends to dominate a select few industries from among the industries in its client portfolio. Maletta and Wright (1996) observe that there are fundamental differences in characteristics of errors and methods of error detection across industries. Specialist auditors are also likely to develop databases comprising industry-specific best practices of accounting policies, risk and error characteristics, and peculiar transactions, all of which can contribute to overall audit effectiveness. Solomon et al. (1999) find that auditors who are specialists exhibit greater knowledge of non-error frequency relative to non-specialist auditors. The significance of this finding is that clients tend to propose non-error explanations for fluctuations in ratios and, therefore, accurate knowledge of 10 non-error frequency is vital in detecting misstatements in financial statements. A number of researchers have examined the benefits of auditor industry specialization or expertise on audit effectiveness. For example, Bedard and Biggs (1991) document that an auditor with experience in the manufacturing industries is better able to detect errors in a manufacturing client’s data than an auditor without experience in manufacturing. Similarly, Wright and Wright (1997) find that significant experience in the retailing industry contributes to increased detection of errors of retail industry clients. Prior research also documents other benefits of auditor industry specialization. Johnson et al. (1991) and Carcello and Nagy (2003) find that auditor industry expertise mitigates financial fraud. Krishnan (2003b) documents that for non-financial firms, discretionary accruals, a commonly used proxy for earnings management, are lower for clients of specialist auditors than for clients of non-specialist auditors. Krishnan (2005) finds that asymmetric timeliness of earnings, a fundamental characteristic of financial reporting is greater for clients of specialist Big 5 auditors compared to clients of non-specialist Big 5 auditors. There is also evidence that investors perceive earnings to be more informative when the auditor is a specialist auditor (Balsam et al. 2004). Audit clients also appear to value auditor industry expertise as indicated by premium pricing by specialist auditors (Francis et al. 2005). While the above evidence indicates an association between auditor industry specialization and the ability to detect material misstatements in financial statements, there also is evidence that specialist auditors attempt to protect their reputation capital through increased compliance with generally accepted auditing standards more than do non-specialist auditors (O’Keefe et al. 1994). In summary, the 11 collective evidence supports the notion that there are benefits to auditor industry specialization in terms of enhanced audit effectiveness and credibility of financial statements to investors and audit clients. Thus, our second hypothesis is:5 Hypothesis 2: The incremental stock market valuation of the discretionary component of the loan loss allowance over the nondiscretionary component of the loan loss allowance is greater when the auditor is a specialist in the banking industry. In the next two hypotheses, we examine the relationship between audit and nonaudit fees and the incremental valuation of discretionary loan loss allowance. Kinney and Libby (2002) argue that both audit and nonaudit fees could have an impact on the independence of auditors and cause economic bonding. However, audit and nonaudit fees could have different effects on audit quality. Audit fees are more likely to reflect effort since the audit market is closely regulated and opportunities to earn rents are limited (Srinidhi and Gul 2007). Therefore, higher audit fees should be associated with reduced opportunistic managerial discretion in the estimation of loan loss allowance and an increase in the information component of the discretionary allowance for loan losses. Accordingly, if audit fees enhance audit quality, we should observe a higher incremental market valuation of the discretionary loan loss allowance for firms with higher audit fees. Conversely, if nonaudit services impair auditor independence, then we should observe a lower or no incremental market valuation of the discretionary loan loss allowance for firms with high nonaudit fees. The SEC takes the position that nonaudit services impair auditor independence. The Sarbanes-Oxley Act (SOX) bans most nonaudit services. This is consistent with the notion that even the provision of an 5 We discuss how we operationalize auditor industry expertise in the banking industry in the next section. 12 immaterial amount of certain nonaudit services could potentially impair auditor independence. Brandon et al. (2004) examine the perception of the bond market to auditor-provided nonaudit services and find a negative relation between nonaudit services and clients’ bond ratings. Krishnan et al. (2005) investigate whether investors perceive auditor independence as being impaired when auditors supply nonaudit services. They find a negative relation between nonaudit fees and earnings response coefficients. The results of these studies are consistent with the notion that investors perceive nonaudit services as impairing auditor independence. Analysts also perceive nonaudit services as impairing auditor independence. Of the 970 financial analysts and other investment professionals who responded to an Association for Investment Management and Research (currently referred to as the CFA Institute) survey, the percentages who indicated such services would compromise auditor independence range from 37% for information technology related services to 65% for asset valuation and appraisal services (CFA Institute 2000). Further, Goff (2002) reports that 52% of some 50 asset managers and analysts surveyed believe that investors might have concerns about companies that purchase consulting services from their auditors, and a third of them expect that investors will, in fact, discount the share prices of such companies. Plitch (2003) provides some evidence that firms that rate companies’ corporate governance practices perceive nonaudit services as potentially compromising auditor independence. Finally, there are numerous cases of media coverage of the negative impact of nonaudit services on auditor independence (see Weil and Tannenbaum 2001 and Bryan-Low 2003). This leads to our final two hypotheses: Hypothesis 3: The incremental stock market valuation of the discretionary component of 13 the loan loss allowance over the nondiscretionary component of the loan loss allowance is higher for banks with higher audit fees. Hypothesis 4: The incremental stock market valuation of the discretionary component of the loan loss allowance over the nondiscretionary component of the loan loss allowance is lower for banks with higher nonaudit fees. III. Empirical Models Estimation of Discretionary Loan Loss Allowance Following Beaver and Engel (1996), we use a two-stage approach to test our hypotheses. We estimate the discretionary component of loan loss allowance in the first stage and then relate this component to the different measures of audit quality in the second stage. We adopt the methodology of Beaver and Engel (1996) for estimating discretionary loan loss allowance and its market valuation. We estimate the discretionary component of loan loss allowance (DALL) as the residuals from regressing the allowance for loan losses (ALL) on loan charge-offs, total loans, nonperforming loans, and other variables using the following model:6 ALLit = γ0 (1/GBV) + γ1COit + γ2 LOANit + γ3NPLit + γ4NIit + γ5BTCAPITALit + γ6SMALLit+ Year Controls + eit [1] We define the variables as follows: ALL = allowance for loan losses deflated by gross book value of common equity (book value of common equity plus total allowance for loan losses); GBV = gross book value of common equity; CO = loan charge-offs deflated by gross book value of common equity; 6 Beaver and Engel (1996) also include one-year-ahead change in non-performing loans as a control variable for the nondiscretionary component of loan loss allowance. Our sample size is reduced to 1,525 observations when we include this variable and the estimated coefficient on one-year-ahead change in nonperforming loans is 0.0000 (t = 0.02). Inclusion of one-year-ahead change in non-performing loans in model (1) does not alter any of our inferences. 14 LOAN = total loans deflated by gross book value of common equity; NPL = nonperforming loans deflated by gross book value of common equity; NI = earnings before loan loss provision scaled by gross book value of common equity; BTCAPITAL= total risk-adjusted capital ratio at the beginning of the year; and SMALL = an indicator variable that equals to 1 if beginning assets < $500 million. The residuals from model (1) become the abnormal or discretionary component of ALL, referred to as DALL, and the fitted values are the nondiscretionary component of ALL, referred to as NALL. Consistent with prior research, γ1, γ2, and γ3 are predicted to be positive. The amount of net loan charge-offs (CO) is related to ALL by construction. A higher level of nonperforming loans indicates problems with the loan portfolio (i.e., default risk) and requires a higher loan loss allowance. Therefore, the level of nonperforming loans (NPL) will be positively related to ALL. Nonperforming loans are not the sole source of default. The rest of the loan portfolio also has some default risk exposure; hence total loans will be positively related to ALL. We include earnings before loan loss provision (NI) to control for earnings management motives and total risk adjusted capital ratio at the beginning of the year (BTCAPITAL) to control for capital management motives. We expect a positive relation between earnings before loan loss provision and loan loss allowance. We do not have predictions on the relation of loan loss allowance to beginning total capital ratio. We expect a negative sign on SMALL since small banks have less regulatory scrutiny.7 7 The Federal Deposit Insurance Corporation Improvement Act of 1991 (FDICIA), which was passed in response to the savings and loan debacle of the 1980’s and became effective in 1992, imposed new auditing, corporate reporting, and governance requirements on each depository institution with assets exceeding $500 million. Banks with total assets less than $500 million were not subject to these increased 15 Market Valuation of Nondiscretionary and Discretionary Loan Loss Allowance Next, as in Beaver and Engel (1996), we test whether the capital market assigns the same or different valuations to NALL and DALL. We include the level of nonperforming loans (NPL) to control for any additional discount applied to nonperforming loans over the discount applied to the nondiscretionary component of ALL. We also include net income before subtraction of provision for loan losses as an additional control variable. When net income is omitted, a positive coefficient on DALL could be interpreted as simply reflecting the valuation relevance of net income (Beaver and Engel, 1996). Based on prior research (Barth et al. 1995; Beaver and Engel, 1996), we allow the coefficients for positive and negative net income to differ. Our basic valuation model is as follows: MVE = β0 + β1ALL + β2DALL + β3NPL + β4NI_POS + β5NI_NEG + Year Controls + ε [2] We define the variables as follows: MVE = market value of equity deflated by gross book value of common equity; ALL = allowance for loan loss deflated by gross book value of common equity; DALL NPL = estimated discretionary portion of the allowance from Equation [1]; = nonperforming loans deflated by gross book value of common equity; NI_POS = net income before total provision for loan losses for firms with positive net income deflated by gross book value of common equity; and NI_NEG = net income before total provision for loan losses for firms with negative net income deflated by gross book value of common equity. The allowance for loan losses, ALL, in equation [2] equals the sum of the regulations. 16 nondiscretionary allowance, NALL, and the discretionary allowance, DALL. The coefficient of DALL is (β1 + β2) and the coefficient of NALL is β1. Therefore, the incremental market valuation of DALL over NALL equals β2. Consistent with Beaver and Engel (1996), we predict a negative sign for β1 and a positive sign for β2. As discussed above, the coefficient on NPL may capture any incremental discount applied to NPL; we therefore predict a negative sign for β3. We expect β4 (β5) to be positive (negative) because positive (negative) income will increase (decrease) firm value. IV. SAMPLE SELECTION We select our sample from banks included in the 2007 Bank Compustat annual data files. We obtain data on fees paid to auditors for the years 2000-2006 from Audit Analytics. The intersection of the Audit Analytics data with the Bank Compustat data results in an initial sample of 2,044 bank-year observations. Our final sample includes 1,976 bank-year observations for which we have complete data and represents 304 banks.8 We hand-collect the data on non-performing loans for the period 1999-2006 from annual reports and obtain data on loan portfolio categories from the Federal Reserve Bank Holding Company Database (call reports). Panel A of Table 1 reports descriptive statistics for the scaled variables used in the regressions. The mean value of the allowance for loan losses represents 9.5% of the sample banks’ gross book value of common equity, while the discretionary component (the residual from estimating equation [1]) has a mean of 0 by construction. About 52% of the sample observations are audited by Big 5 auditors. As indicated by deflated net 8 To ensure that our results are not driven by outliers we delete the top 5 and bottom 5 values of our variables of interest. We also check for influential observations on our regressions using the R-Student procedure. 17 income before loan loss provisions (NI), firms are, on average, profitable. The average beginning total capital ratio of 13.58 exceeds the minimum required level. [Insert Table 1 About Here] Table 2 presents the correlations among the dependent, independent and control variables. The correlation between the market value of equity (MVE) and the discretionary component of the allowance for loan losses (DALL) is positive, consistent with expectations. Notice that MVE is also positively correlated with ALL, most likely because of its positive correlation with DALL. MVE is also positively related to whether the auditor is a Big 5 auditor (Big5) and to whether the auditor is a banking industry specialist (KPPwC). [Insert Table 2 About Here] V. RESULTS Basic Results Table 3 presents the results of estimating equations [1] and [2]. Panel A presents the results for the estimation of discretionary loan loss allowance (DALL). As expected, the coefficients on loan charge-offs (CO), loans (LOAN), non-performing loans (NPL), and earnings before loan loss provisions (NI) are positive and significant. Finally, the negative coefficient on the indicator variable SMALL suggests that smaller banks have lower allowance for loan losses. One reason for this is that smaller banks have lower regulatory scrutiny. [Insert Table 3 About Here] 18 The residual term of equation [1] is the discretionary portion of the allowance for loan losses (DALL) and is included in equation [2]. The estimation results presented in Panel B of Table 3 are consistent with those documented by Beaver and Engel (1996). The coefficient β1, which estimates the market valuation of the nondiscretionary portion of the allowance for loan losses, is significantly negative indicating that market value decreases with NALL. On the other hand, the estimated coefficient of DALL is positive and significant at the 1% level, consistent with the argument that discretionary loan loss allowance is incrementally positively valued.9 This is consistent with the conjecture that the discretionary allowance contains an information component that is valued by the market. The coefficient on non-performing loans (NPL), and the coefficients on positive (NI_POS) are significant and have the expected signs. In the next section, we test the importance of audit quality on the incremental market valuation of the discretionary component of the allowance for loan losses. Auditor Type and Market Valuation of DALL To investigate the impact of auditor type on the incremental market valuation of DALL, we modify equation [2] by adding the indicator variable, BIG5, which equals 1 if the auditor is a Big 5 auditor and 0 otherwise, and its interactions with the allowance for loan losses (BIG5*ALL) and the discretionary allowance for loan losses (BIG5*DALL). 9 Although the estimated coefficients on DALL and NALL are high, we note that they do not differ much from Beaver and Engel’s results for the second period. Beaver and Engel (1996, p. 194) state “The finding that they are both unusually large but of opposite sign, however, is consistent with the presence of a common error of opposite sign between the two components. As discussed earlier, without specifying the full covariance matrix among allowance variables measured without error, the nature of the error, and the other variables in the system, it is difficult to predict the effect of such error on the estimated coefficients in the second stage.” Our coefficient estimates on DALL and NALL are also subject to such measurement error. 19 This results in the following model: MVE = β0 + β1BIG5 + β2ALL + β3DALL + β4BIG5*ALL + β5BIG5*DALL + β6NPL + β7NI_POS + β8NI_NEG + Year Controls + ε [3] Equation [3] allows the market valuation coefficients on NALL and DALL to differ across banks audited by Big 5 and non-Big 5 auditors; therefore, we can use this model to test for a difference in the incremental market valuation of DALL over NALL between Big 5 and non-Big 5 audited banks. The coefficient β3 estimates the difference between the market valuation of DALL and NALL for non-Big 5 audited banks. If DALL contains an information component, we would expect this coefficient to be positive. Correspondingly, the coefficient β3 + β5 reflects the incremental difference between the market valuation of DALL and NALL for banks audited by Big 5 auditors. As with banks audited by non-Big 5 auditors, if DALL contains an information component, we would expect β3 + β5 to be positive. Hypothesis 1 posits that if Big 5 auditors enhance the information component of the discretionary loan loss allowance by providing higher audit quality, the difference in stock market valuation of DALL over NALL will be greater when the auditor is a Big 5 auditor. This hypothesis indicates that β5, the incremental difference between the market valuation of DALL over NALL for Big 5 and non-Big 5 audited banks, is positive. Furthermore, if auditor type enhances the informativeness of the discretionary component of loan loss allowance we would expect β4 + β5 (the difference in the coefficient of DALL between the Big 5 and non-Big 5 audited banks, i.e., (β2 + β3 + β4 + β5) – (β2 + β3)) to be positive. Conversely, if auditor type enhances the information conveyed by nondiscretionary loan loss allowance, we would expect β4 (the 20 difference in the coefficient of NALL between the Big 5 and non-Big 5 audited banks (i.e., (β2 + β4) – β2) to be negative. The results of the regression are presented in Panel A of Table 4. The positive and significant (p < 0.01) estimate of β5 indicates support for hypothesis 1 that the difference between the market valuation of DALL and NALL is greater for banks audited by Big 5 auditors than for non-Big 5 audited banks. Furthermore, β3 + β5 is significantly greater than zero, indicating a positive incremental market valuation of DALL over NALL for Big 5 audited banks. Our results also indicate that β4 is significantly negative, indicating greater informativeness of nondiscretionary allowance for banks audited by Big 5 auditors than for non-Big 5 audited banks. [Insert Table 4 About Here] Controlling for Self-Selection It is possible that audit clients systematically choose between Big 5 and non-Big 5 auditors. As a result of such self-selection, the observed differences in valuation coefficients between Big 5 and non-Big 5 auditors’ clients could simply reflect the fundamental differences between these client groups rather than the difference in audit quality. We employ the Heckman (1979) two-stage procedure to address this concern. We first estimate a probit model of auditor choice (Big 5 vs. non-Big 5) to derive the Inverse Mills Ratio (IMR). We are not aware of a model of auditor choice for banks. Therefore, we develop the following model that that relates auditor choice to bank performance, size, and risk: BIG5 = α0 + α1ROA + α2ROA*LOSS + α3LnLOAN + α4CHLOAN + α5TCAPITAL 21 + α6LOANRATIO + α7NPLRATIO + ε [4] We define the variables as follows: BIG5 = an indicator variable that equals 1 for Big 5 clients and 0 for nonBig 5 clients; ROA = net income over lagged total assets; LOSS = an indicator variable that equals 1 the firm has a loss and 0 otherwise; LnLOAN = natural log of total loans outstanding; CHLOAN = change in total loans outstanding; TCAPITAL = risk adjusted total capital ratio (at the year-end); LOANRATIO = total loans outstanding divided by total assets; and NPLRATIO nonperforming loans divided by total loans. = ROA captures performance and is expected to be positive. By including ROA*LOSS in the model, we allow the coefficient on ROA to differ across profit and loss firms. LnLOAN is a proxy for bank size. Since larger banks may prefer Big 5 auditors, we predict a positive coefficient for LnLOAN. We use several measures of risk, including CHLOAN, TCAPITAL, NPLRATIO and LOANRATIO. We predict positive coefficients for CHLOAN, LOANRATIO, and NPLRATIO as banks with greater actual or perceived risks may opt for a Big 5 auditor to enhance the credibility of their financial reports. We expect a negative sign for the coefficient of TCAPITAL since higher capital ratios likely indicate lower risk. Panel B of Table 4 presents the results of estimating equation [4]. The coefficients on LnLOAN, TCAPITAL, and NPLRATIO have the predicted signs and are significant at 22 the 5% level. Next, we re-estimate equation [3] after including the IMR obtained from equation [4] and report the results in Panel C of Table 4. Note that IMR is significant, indicating that self-selection bias may be driving some of the results reported in Panel A of Table 4. Nevertheless, the coefficient on BIG5*DALL is 11.2 and significant at the 1% level, indicating that discretionary loan loss allowance audited by Big 5 auditors is incrementally positively priced relative to discretionary loan loss allowance audited by non-Big 5 auditors. The results also indicate that the difference in the coefficient of DALL between the Big 5 and non-Big 5 audited banks, i.e., β3 + β5 is significantly positive. Furthermore, β4, the difference in the coefficient of NALL between the Big 5 and non-Big 5 audited banks is significantly less than zero, suggesting that auditor type enhances the information conveyed by nondiscretionary loan loss allowance. These results are similar to the results in Panel A and alleviate the concern that the results in Panel A are systematically biased because of self-selection.10 In summary, the results in Table 4 are consistent with hypothesis 1 that the incremental market valuation of discretionary loan loss allowance over nondiscretionary allowance for loan losses is conditioned on auditor type. Auditor Expertise and Market Valuation of DALL Hypothesis 2 predicts that the incremental market valuation of discretionary loan loss allowance is greater when the auditor is an expert in the banking industry. GAO (2003) identifies KPMG and PwC as the top-two market leaders in the banking industry after 1997. To test hypothesis 2, we add the following two indicator variables to equation 10 Francis and Lennox (2008) discuss the problems with operationalizing the Heckman (1979) two-stage procedure in an accounting context. Following their suggestion, we exclude several variables from the first stage model (for example LnLOAN and NPLRATIO) from our second stage valuation model. We also check for multicollinearity when including IMR in the second stage. The variance inflation factors do not indicate problems with multicollinearity. 23 [2]: OTHBIG5, which equals 1 for clients of Arthur Andersen, Deloitte and Touche and Ernst and Young, and 0 otherwise, and KPPwC which equals 1 if the auditor is KPMG or PwC and 0 otherwise. We also interact each indicator variable with ALL and DALL. The results are presented in Table 5. In model 1, we include an indicator variable for KPPwC and its interaction with ALL and DALL. The positive and significant (p < 0.05) coefficient on KPPwC*DALL supports our hypothesis 2. Furthermore, the market valuation of the discretionary (nondiscretionary) allowance is less (more) negative for banks audited by the Big 5 than for banks audited by the non-Big 5. [Insert Table 5 About Here] Next, we examine whether the difference in the incremental valuation of DALL over NALL between Big 5 audited and non-Big 5 audited banks is related to auditor type or auditor expertise or both, using the following model: MVE = β0 + β1OTHBIG5 + β2KPPwC + β3ALL + β4DALL + β5OTHBIG5*ALL + β6 OTHBIG5*DALL + β7KPPwC*ALL + β8KPPwC*DALL + β9NPL + β10NI_POS + β11NI_NEG + Year Controls + ε [5] This model includes the indicator variables OTHBIG5 (which equals 1 for clients of Arthur Andersen, Deloitte and Touche and Ernst and Young, and 0 otherwise) and KPPwC and their interactions with ALL and DALL. The results are presented as model 2 in Table 5. The coefficient β4 + β8 represents the incremental market valuation of discretionary loan loss allowance over nondiscretionary loan loss allowance for banks audited by industry leaders KPMG and PwC, while the coefficient β4 + β6 represents the 24 corresponding estimate for banks audited by Arthur Andersen, Deloitte and Touche and Ernst and Young. Thus, the difference, β8 - β6, is the incremental effect of having an industry audit specialist over another Big 5 auditor. This difference is significant at the [fill in] level, implying that the higher incremental market valuation of DALL over NALL reported in model 1 is primarily driven by auditor expertise. Audit Fess and NonAudit Fees and Market Valuation of DALL Our final two hypotheses relate audit and nonaudit fees to the incremental market valuation of DALL over NALL. Hypothesis 3 predicts a positive association between audit fees and the incremental market valuation of DALL. Hypothesis 4 predicts that the market valuation of DALL is negatively related to nonaudit fees. We employ two different methods to test these hypotheses. First, we divide our sample banks into two groups based on whether their audit fees (nonaudit fees) are above or below the annual median fee. Second, we adopt the methodology used by Fields et al. (2004), where we regress the natural logarithm of audit fees (nonaudit fees) on the determinants of normal fees to obtain abnormal fees. We then use abnormal fees to assess the incremental market valuation of DALL conditional on abnormal audit (nonaudit) fees. Column 3 in Panel A of Table 6 presents the results for audit fees classified above or below the median audit fee each year. This indicator variable, labeled FEE, is also interacted with ALL (FEE*ALL) and DALL (FEE*DALL). The results support our third hypothesis. That is, the coefficient of FEE is positive and significant at the 1% level, the coefficient of FEE*ALL is negative and significant and, consistent with hypothesis 3, the coefficient of FEE*DALL is positive and significant at the 1% level. 25 [Insert Table 6 About Here] Column 4 in Panel A of Table 6 presents the results for nonaudit fees classified above or below the median nonaudit fee each year. The coefficient of FEE*DALL is not significantly different from zero. Thus, we are unable to reject the null hypothesis that the incremental stock market valuation of the discretionary component of the loan loss allowance over the nondiscretionary allowance for loan losses is lower for banks with higher nonaudit fees. Prior research models auditor related fees as a function of a firm’s auditor choice, audit complexity, and audit risk, in addition to other variables (Firth 1997; Ashbaugh et al. 2003). Fields et al. (2004) examine the determinants of normal audit fees in the banking industry. Using the variables identified in Fields et al. (2004) as determinants of audit (nonaudit) fees, we estimate the unexpected portion of audit (nonaudit) fees. Audit (nonaudit) fees are likely to be higher when the auditor is a Big 5 auditor. Auditor size also proxies for client size. We include the natural log of total assets to capture firm size. The normal audit/nonaudit fee is modeled as a function of a bank’s credit risk and capital risk. We include NPL, LCO, COMM, CON and RESTATE as proxies for a bank’s credit risk and total capital ratio (TCAPITAL) to account for capital risk. We estimate the following model: FEE = α0 + α1 BIG5 + α2 LnASSETS + α3 NPL + α4 LOSS + α5 LCO+ α6 COMM + α7 CON + α8 RESTATE + α9 TCAPITAL + Year Controls + ε We define the variables as follows: FEE = natural log of audit or nonaudit fees; 26 [6] BIG5 = indicator variable set equal to 1 if audited by a Big 5 firm, and 0 otherwise; LnASSETS = natural log of total assets; NPL = nonperforming loans over lagged total loans; LOSS = an indicator variable that equals 1 the firm has a loss and 0 otherwise; LCO = net loan charge-offs over loan loss allowance; COMM = total commercial and agriculture loans over total loans; CON = total consumer loans over total loans; RESTATE = total real estate loans over total loans; and TCAPITAL = total risk-adjusted capital ratio (measured at year-end). Panel B of Table 6 presents the results of the regression of the natural logarithm of audit (nonaudit) fees on the determinants of normal fees. As expected, we find a positive relation between our two fee measures and BIG5, LnASSETS, NPL, LCO, LOSS and COMM. The signs of the coefficients are generally consistent with Fields et al. (2004). The adjusted R2 of 78.84% for audit fees indicates that the model explains a large percentage of the variation in audit fees. The adjusted R2 of 55.26% for the nonaudit fee model is also high. These R2 values are higher than the adjusted R2 values reported in Ashbaugh et al. (2003) for industrial firms and consistent with the R2 values reported in Fields et al. (2004). Column 3 in Panel C of Table 6 presents the results when we use abnormal audit fees, referred to as AFEE, to assess the incremental market valuation of discretionary loan loss allowance over nondiscretionary allowance for loan losses. The results are similar to those reported in Panel A where audit fees are measured as a dichotomous variable. More precisely, the coefficient for abnormal audit fees is positive, as expected, 27 and significant. Furthermore, consistent with hypothesis 3, the coefficient of AFEE*DALL is positive and significant at the 1% level. Column 4 in Panel C of Table 6 contains the results for abnormal nonaudit fees. The results are very similar to those reported in Column 4 of Panel A; the coefficient of AFEE*DALL is not significant at conventional levels, indicating that the abnormal nonaudit fee is unrelated to the incremental stock market valuation of the discretionary loan loss allowance over the nondiscretionary allowance for loan losses. Overall, the results in Table 6 indicate that the incremental market valuation of discretionary loan loss allowance over nondiscretionary allowance for loan losses is positively related to the size of the audit fee but unrelated to the size of the nonaudit fee. This result holds regardless of whether we use audit (nonaudit) fee or abnormal audit (nonaudit) fee. Additional Analysis We summarize the results of two additional tests in this section. First, we examine whether our results differ across smaller and larger banks. Audit quality is likely to play a more prominent role for smaller banks than for larger banks. Smaller banks may have weaker internal control systems than larger banks and therefore, auditor type and industry expertise may be particularly important for smaller banks. For example, the FDIC Improvement Act of 1992 imposed auditing, corporate reporting, and governance reforms on banks with assets exceeding $500 million (Altamuro and Beatty, 2008). When we estimate equation [3] separately for small banks (below $500 million in total assets) and large banks (above $500 million in total assets), we find that (results not tabulated) the 28 coefficient on the interaction variable, BIG5×DALL, is positive and significant at the 0.01 level for small banks and at the 0.05 level for large banks. Similarly, the coefficient on KPPwC×DALL is significant at the 0.01 level for small banks and at the 0.10 level for large banks. These results indicate that the interaction of the market valuation of DALL and auditor type and expertise varies with the size of the bank and in particular, the market attaches a higher incremental value to the discretionary loan loss allowance of small banks served by Big 5 auditors and industry audit experts. Second, we examine whether the incremental market valuation of DALL is conditional on the sign of DALL, i.e., whether positive DALL is valued more than negative DALL. Untabulated results indicate that the incremental effect of auditor type on the valuation of DALL holds for both positive and negative DALL. However, the incremental effect of auditor expertise on valuation of DALL holds only for positive DALL. This finding is consistent with investors viewing positive DALL as more conservative and of higher quality than negative DALL. VI. Conclusions The recent banking crisis has led market participants to focus on the adequacy and quality of banks’ balance sheet items, especially the allowance for loan losses. Beaver and Engel (1996) document that the capital market prices the nondiscretionary component of loan loss allowance negatively and the discretionary component less negatively. This evidence suggests that the discretionary component conveys favorable information that is incrementally positively priced relative to the nondiscretionary component. In this study, we examine whether and how audit quality enhances the incremental market valuation of the discretionary component of the allowance for loan 29 losses. We use auditor type (i.e., Big 5 versus non-Big 5), auditor industry expertise, and audit fees as different proxies for audit quality. Our results indicate that audit quality has a positive impact on the incremental market valuation of the discretionary component of the allowance for loan losses. More specifically, we find that the incremental positive pricing of the discretionary allowance for loan losses is significantly greater for banks audited by Big 5 auditors than for banks audited by non-Big 5 auditors. This result also holds after controlling for the possibility that large banks and banks with more complex operations are more likely to hire Big 5 auditors. The results regarding auditor expertise also support our predictions. That is, when we examine the effect of auditor expertise, the results indicate that audit specialization has a positive impact on the incremental market valuation of the discretionary loan loss allowance. Finally, we examine the effects of audit and nonaudit fees on the incremental market valuation of the discretionary loan loss allowance. Our findings indicate higher incremental market valuation of the discretionary component of the allowance for loan losses for banks paying higher audit fees, but not for banks paying higher nonaudit fees. 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Dev. 1st quartile Median 3rd quartile 0.0952 0.0358 0.0742 0.0915 0.1108 0.0000 0.0263 -0.0128 -0.0020 0.0110 2.7805 2.3348 1.6382 2.1678 3.1501 0.0114 0.0162 0.0030 0.0086 0.0159 0.0188 0.0272 0.0051 0.0123 0.0231 6.9250 1.8897 5.7810 6.7650 7.9650 0.0406 0.0441 0.0124 0.0293 0.0535 0.1345 0.0514 0.1091 0.1348 0.1598 13.5847 3.3981 10.0000 10.0000 10.0000 0.1976 0.3983 0.0000 0.0000 0.0000 0.5214 0.4997 0.0000 1.0000 1.0000 0.2938 0.4556 0.0000 0.0000 1.0000 12.2113 1.1637 11.4000 12.1000 12.8000 11.2140 1.5080 10.3000 11.1000 12.0000 = allowance for loan loss deflated by gross book value (net book value of common equity plus total allowance for loan losses); = estimated discretionary portion of the allowance from Equation (1); = market value of equity deflated by gross book value; = one over gross book value; = loan charge-offs deflated by gross book value; = total loans deflated by gross book value; = nonperforming loans deflated by gross book value; = earnings before loan loss provision scaled by gross book value; = capital ratio at the beginning of the year; = an indicator variable that equals to 1 if beginning assets < $500 million; =0 for non-Big 5 client banks, 1 for Big 5 client banks; =1 for KPMG and PwC and 0 for other auditors; =natural logarithm of audit fees; and =natural logarithm of nonaudit fees. 36 TABLE 2 Correlation Matrix and Pearson Coefficients (N=1,796) ALL DALL MVE DALL MVE 1/GBV CO LOAN NPL NI BTCAPITAL SMALL BIG5 KPPwC LAUDFEE LNONAUDFEE 0.6856 0.1180 0.1562 0.4532 0.5164 0.3300 0.0903 -0.3330 -0.0539 -0.0027 -0.0040 -0.0253 0.0610 <.0001 <.0001 <.0001 <.0001 <.0001 <.0001 0.0001 <.0001 0.0223 0.9098 0.8640 0.2840 0.0097 1.0000 0.0750 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0431 0.0589 0.0191 -0.0925 0.0015 1.000 1.000 1.000 1.000 1.000 1.000 1.000 0.0677 0.0125 0.4184 <.0001 1.0000 1/GBV 0.1269 -0.0437 0.1904 -0.0401 0.1785 -0.1489 0.1229 0.1352 0.1222 -0.0949 0.0494 <.0001 0.0641 <.0001 0.0894 <.0001 <.0001 <.0001 <.0001 <.0001 <.0001 0.0364 1.0000 -0.0091 0.2477 0.0120 -0.3194 0.0612 0.5206 -0.3053 -0.1389 -0.4262 -0.2986 0.7012 <.0001 0.6128 <.0001 0.0094 <.0001 <.0001 <.0001 <.0001 <.0001 1.0000 0.0426 0.4232 0.1789 -0.1370 -0.0665 0.0785 -0.0461 0.1073 0.1425 0.0711 <.0001 <.0001 <.0001 0.0048 0.0009 0.0506 <.0001 <.0001 1.0000 0.1235 0.1799 -0.4993 0.0169 -0.1019 -0.0402 -0.1331 -0.0908 <.0001 <.0001 <.0001 0.4739 <.0001 0.0886 <.0001 0.0001 1.0000 0.0897 -0.1358 -0.0110 -0.0198 -0.0332 -0.0298 -0.0266 0.0001 <.0001 0.6401 0.4026 0.1598 0.2068 0.2599 -0.2091 -0.1988 0.1611 0.0138 0.1168 0.1529 <.0001 <.0001 <.0001 0.5578 <.0001 <.0001 1.0000 0.1833 -0.1446 -0.0966 -0.1710 -0.1826 <.0001 <.0001 <.0001 <.0001 <.0001 1.0000 -0.3444 -0.1605 -0.4462 -0.3217 <.0001 <.0001 <.0001 <.0001 CO LOAN NPL NI BTCAPITAL SMALL BIG5 1.0000 KPPwC LAUDFEE 0.6180 0.4900 0.4112 <.0001 <.0001 <.0001 1.0000 0.2132 0.1598 <.0001 <.0001 1.0000 0.6130 <.0001 All variables are defined in Table 1. TABLE 3 Estimation and Market Valuation of Discretionary and Nondiscretionary Allowance for Loan Losses Panel A: Estimating Discretionary Loan Loss Allowance ALLit = γ0 (1/GBV) + γ1COit + γ2 LOANit + γ3NPLit + γ4NIit + γ5TCAPITALit + γ6SMALLit+ Year Controls + eit Variable Pred. Sign Coefficient t-statistic 1/GBV ? 0.1515 1.90* CO + 0.4761 19.47*** LOAN + 0.0104 33.46*** NPL + 0.1037 6.90*** NI + 0.0261 1.97** BTCAPITAL ? 0.0001 3.78*** SMALL - -0.0007 -3.30*** Year Controls Yes N 1796 F Value 3629.58 Adj. R2 93.38% Notes: 1. Variable Definitions: ALL 1/GBV CO LOAN NPL NI BTCAPITAL SMALL = allowance for loan loss deflated by gross book value (net book value of common equity plus total allowance for loan losses); = one over gross book value; = loan charge-offs deflated by gross book value; = total loans deflated by gross book value; = nonperforming loans deflated by gross book value; =earnings before loan loss provision scaled by gross book value; = capital ratio at the beginning of the year; and = an indicator variable that equals to 1 if beginning assets < $500 million. 2. *** significant at 0.01 level, ** significant at 0.05 level, * significant at 0.10 level. Significance levels are based on one-tailed tests when the coefficient sign is predicted and on two-tailed tests otherwise. TABLE 3 (cont.) Panel B: Market Valuation of Components of Loan Loss Allowance MVE = β0 + β1ALL + β2DALL + β3NPL + β4NI_POS + β5NI_NEG + Year Controls + ε Variable Pred. Sign Coefficient t-statistic Intercept ? 0.1175 7.56*** ALL - -3.7257 -2.14** DALL + 4.8220 2.36*** NPL - -2.2558 -2.92*** NI_POS + 8.1986 12.12*** NI_NEG + 1.3266 0.44 Year Controls Yes N 1796 F Value 57.21 Adj. R2 25.62% Notes: 1. Variable Definitions: MVE ALL DALL NPL NI_POS NI_NEG = market value of equity deflated by gross book value; = allowance for loan loss deflated by gross book value; = estimated discretionary portion of the allowance from Equation [1]; = nonperforming loans deflated by gross book value; = net income before total provision for loan losses for firms with positive net income deflated by gross book value; and = net income before total provision for loan losses for firms with negative net income deflated by gross book value. 2. *** significant at 0.01 level, ** significant at 0.05 level, * significant at 0.10 level. Significance levels are based on one-tailed tests when the coefficient sign is predicted and on two-tailed tests otherwise. 39 TABLE 4 Effect of Auditor Type on Market Valuation of Discretionary Allowance for Loan Losses Panel A: Valuation of Discretionary Allowance for Big5 vs. Non-Big5 MVE = β0 + β1BIG5 + β2ALL + β3DALL + β4BIG5*ALL + β5BIG5*DALL + β6NPL + β7NI_POS + β8NI_NEG + Year Controls + ε Variable Intercept BIG5 ALL DALL BIG5*ALL BIG5*DALL NPL NI_POS NI_NEG Year Controls Pred. Sign ? Coefficient 0.0641 t-statistic 2.96*** ? - 0.0918 1.7745 1.3735 -8.7944 10.5159 -2.5879 8.1103 1.3767 Yes 3.56*** 0.75 0.50 -3.14*** 2.94*** -3.34*** 11.86*** 0.45 + ? + + + 1796 46.38 26.14% N F Value Adj. R2 Notes: 1. Variable Definitions: BIG5 ALL DALL NPL NI_POS NI_NEG = 0 for non-Big 5 client banks, 1 for Big 5 client banks, = allowance for loan loss deflated by gross book value; = estimated discretionary portion of the allowance from Equation [1]; = nonperforming loans deflated by gross book value; = net income before total provision for loan losses for firms with positive net income deflated by gross book value; and = net income before total provision for loan losses for firms with negative net income deflated by gross book value. 2. *** significant at 0.01 level, ** significant at 0.05 level, * significant at 0.10 level. Significance levels are based on one-tailed tests when the coefficient sign is predicted and on two-tailed tests otherwise. 40 TABLE 4 (cont.) Panel B: BIG 5/non-Big 5 Self-selection Model BIG5 = α0 + α1ROA + α2ROA*LOSS + α3LnLOAN + α4CHLOAN + α3TCAPITAL + α4LOANRATIO + α5NPLRATIO + ε Variable Intercept ROA ROA*LOSS LnLOAN CHLOAN TCAPITAL LOANRATIO NPLRATIO N Log likelihood ratio Predicted Sign ? + ? + + + + Co-efficient -1.1263 17.5859 -30.3901 0.6412 -0.0000 -0.0697 -3.7174 0.0001 1784 -934.24 Pr > Chi Sq 0.026 0.049 0.109 0.001 0.9280 0.001 0.001 0.041 Notes: 1. Variable Definitions: BIG5 ROA LOSS LnLOAN CHLOAN TCAPITAL LOANRATIO NPLRATIO = = = = = = = = 0 for non-Big 5 client banks, 1 for Big 5 client banks, net income over lagged total assets; an indicator variable that equals 1 the firm has a loss and 0 otherwise ; natural log of total loans outstanding; change in total loans outstanding risk adjusted total capital ratio (measured at year-end); total loans outstanding divided by total assets; and nonperforming loans divided by total loans. TABLE 4 (cont.) Panel C: Valuation of Discretionary Allowance after Controlling for BIG 5/non-Big 5 Self-selection MVE = β0 + β1BIG5 + β2ALL + β3DALL + β4BIG5*ALL + β5BIG5*DALL + β6NPL + β7NI_POS + β8NI_NEG + β9IMR + Year Controls + ε Variable Intercept BIG5 Pred. Sign ? ? + ALL DALL BIG5*ALL BIG5*DALL NPL NI_POS NI_NEG IMR Year Controls + + + ? Coefficient 0.0973 0.0546 t-statistics 4.31*** 2.06** -0.1512 0.4078 -9.3792 11.2037 -2.4153 8.6861 1.3871 0.0358 -0.07 0.15 -3.34*** 3.13*** -3.12*** 12.53*** 0.46 4.80*** Yes 1784 45.04 27.02% N F Value Adj. R2 Notes: 1. Variable Definitions: MVE BIG5 ALL DALL NPL NI_POS NI_NEG IMR = market value of equity deflated by gross book value; = 0 for non-Big 5 client banks, 1 for Big 5 client banks, = allowance for loan loss deflated by gross book value; = estimated discretionary portion of the allowance from Equation [1]; = nonperforming loans deflated by gross book value; = net income before total provision for loan losses for firms with positive net income deflated by gross book value; = net income before total provision for loan losses for firms with negative net income deflated by gross book value; and = Inverse Mills Ratio. 2. *** significant at 0.01 level, ** significant at 0.05 level, * significant at 0.10 level. Significance levels are based on one-tailed tests when the coefficient sign is predicted and on two-tailed tests otherwise. 42 TABLE 5 Effect of Auditor Expertise on Valuation of Discretionary Allowance for Loan Losses MVE = β0 + β1OTHBIG5 + β2KPPwC + β3ALL + β4DALL + β5OTHBIG5*ALL + β6OTHBIG5*DALL + β7KPPwC*ALL + β8KPPwC*DALL + β9NPL + β10NI_POS + β11NI_NEG + Year Controls + ε Variable Pred. Sign Model 1 Coefficient 0.0942 Model 2 t-statistics 5.45*** Coefficient 0.0786 t-statistics 3.91*** 0.1031 3.54*** 0.0467 0.1187 1.44 3.85*** 0.27 -0.21 -1.30 1.74** -2.92*** 2.92*** -3.20*** 11.24*** 0.50 Intercept ? OTHBIG5 KPPwC ? ? ALL DALL OTHBIG5*ALL OTHBIG5*DALL KPPwC*ALL KPPwC*DALL NPL + ? + ? + - -0.9653 1.8936 -0.49 0.84 -8.2238 11.1010 -2.3880 -2.61*** 2.50*** -3.09*** 0.5873 -0.5311 -4.6913 7.8581 -9.6868 13.4483 -2.4716 NI_POS NI_NEG Year Controls N F Value Adj. R2 + + 7.7116 1.9641 11.29*** 0.65 7.7059 1.5428 Yes 1796 47.32 26.54% Yes 1796 39.21 26.57% Notes: 1. Variable Definitions: OTHBIG5 = 1 for Arthur Andersen or D&T or E&Y and 0 for other auditors; KPPwC =1 for KPMG or PwC and 0 for other auditors; ALL =allowance for loan loss deflated by gross book value; DALL = estimated discretionary portion of the allowance from Equation [1]; NPL = nonperforming loans deflated by gross book value; NI_POS = net income before total provision for loan losses for firms with positive net income deflated by gross book value; and NI_NEG = net income before total provision for loan losses for firms with negative net income deflated by gross book value. 2. *** significant at 0.01 level, ** significant at 0.05 level, * significant at 0.10 level. Significance levels are based on one-tailed tests when the coefficient sign is predicted and on two-tailed tests otherwise. 43 TABLE 6 Effect of Audit and Nonaudit Fees on Valuation of Discretionary Allowance for Loan Losses Panel A: Valuation of Discretionary Allowance for High/Low Audit/Nonaudit Fees MVE = β0 + β1FEE + β2ALL + β3DALL + β4ALL*FEE + β5DALL*FEE + β6NPL + β7NI_POS + β8NI_NEG + Year Controls + ε Variable Intercept FEE ALL DALL ALL*FEE DALL*FEE NPL NI_POS NI_NEG Year Controls N F Value Adj. R2 Pred. Sign Audit Fee Nonaudit Fee ? ? + ? +/+ Coefficient 0.0597 0.1027 2.7028 -0.3753 -11.2341 9.4840 -2.4482 8.0731 t-statistics 2.84*** 4.01*** 1.16 -0.14 -4.06*** 2.68*** -3.17*** 11.87*** Coefficient 0.0893 0.0509 -0.2298 1.4258 -6.4596 6.1432 -2.2559 8.2009 t-statistics 4.28*** 1.99** -0.10 0.48 -2.33** 1.51 -2.92*** 12.09*** + 2.6294 0.85 0.6744 0.22 Yes 1796 46.51 26.20% Yes 1796 45.58 25.80% Notes: 1. Variable Definitions: FEE =1 if audit fee or nonaudit fee is above median for a given year and zero otherwise ALL =allowance for loan loss deflated by gross book value; DALL = estimated discretionary portion of the allowance from Equation [1]; NPL = nonperforming loans deflated by gross book value; NI_POS = net income before total provision for loan losses for firms with positive net income deflated by gross book value; and NI_NEG = net income before total provision for loan losses for firms with negative net income deflated by gross book value. 2. *** significant at 0.01 level, ** significant at 0.05 level, * significant at 0.10 level. Significance levels are based on one-tailed tests when the coefficient sign is predicted and on two-tailed tests otherwise. 44 TABLE 6 (cont.) Panel B: Estimation of Unexpected (Abnormal) Audit/Nonaudit Fees FEE = α0 + α1 BIG5 + α2 LnASSETS + α3 NPL + α4 LOSS + α5 LCO+ α6 COMM + α7 CON + α8 RESTATE + α9 TCAPITAL + Year Controls + ε Variable Pred. Sign Intercept BIG5 ? + LnASSETS NPL LCO LOSS COMM CON RESTATE TCAPITAL Year Controls + + + + + + + + Audit Fees NonAudit Fee Coefficient 7.74817 0.34462 t-statistics 69.85*** 11.19*** Coefficient 5.2834 0.0249 t-statistics 25.28*** 0.43 0.59409 54.76*** 0.7337 35.90*** 11.2952 13.42251 0.20663 0.2258 -0.21973 -0.14387 0.00524 3.44*** 3.45*** 1.59* 4.52*** -1.72 -3.71*** 1.33* 20.6467 10.5107 0.2884 0.2856 -0.5277 -0.1034 -0.0218 3.34*** 1.43* 1.18 3.03*** -2.19 -1.41 -2.94*** N F-value Adj. R2 Yes Yes 1779 442.73 78.84% 1779 147.42 55.26% Notes: 1. t-values are presented in parentheses 2. Variable Definitions: FEE = natural log of audit or nonaudit fees; BIG5 = indicator variable set equal to 1 if audited by a Big 5 firm, and 0 otherwise; LnASSETS = natural log of total assets; NPL = nonperforming loans over lagged total loans; LOSS = an indicator variable that equals 1 the firm has a loss and 0 otherwise ; LCO = net loan charge-offs over loan loss allowance; COMM = total commercial and agriculture loans over total loans; CON = total consumer loans over total loans; RESTATE = total real estate loans over total loans; and TCAPITAL = total risk-adjusted capital ratio. 3. *** significant at 0.01 level, ** significant at 0.05 level, * significant at 0.10 level. Significance levels are based on one-tailed tests when the coefficient sign is predicted and on two-tailed tests otherwise. 45 TABLE 6 (cont.) Panel C: Valuation of Discretionary Allowance for High/Low Abnormal Audit/Nonaudit Fees MVE = β0 + β1AFEE + β2ALL + β3DALL + β4ALL*AFEE + β5DALL*AFEE + β6NPL + β7NI_POS + β8NI_NEG + Year Controls + ε Variable Pred. Sign ? ? Intercept AFEE ALL DALL ALL*AFEE DALL*AFEE NPL NI_POS NI_NEG Year Controls + ? +/+ - N F Value Adj. R2 Audit Fee NonAudit Fee Coefficient t-statistics 0.1185 7.70*** 0.0517 2.69*** -4.4122 -2.64*** 5.9967 3.08*** -4.8183 -2.38** 7.9008 2.97*** -2.9843 -4.04*** 8.8099 12.75*** 0.8827 0.29 Yes Coefficient t-statistics 0.1147 7.42*** -0.0112 -0.92 -3.4945 -2.07** 4.9331 2.54*** 0.8848 0.67 -0.6608 -0.35 -2.9737 -4.01*** 8.3782 12.08*** 1.2825 0.42 Yes 1779 46.21 26.25% 1779 45.30 25.86% Notes: 1. Variable Definitions: AFEE ALL DALL NPL NI_POS NI_NEG =abnormal audit or nonaudit fees; =allowance for loan loss deflated by gross book value; = estimated discretionary portion of the allowance from Equation [1]; = nonperforming loans deflated by gross book value; = net income before total provision for loan losses for firms with positive net income deflated by gross book value; and = net income before total provision for loan losses for firms with negative net income deflated by gross book value. 2. *** significant at 0.01 level, ** significant at 0.05 level, * significant at 0.10 level. Significance levels are based on one-tailed tests when the coefficient sign is predicted and on two-tailed tests otherwise. 46
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