Statistical methodology Directory UMM :Data Elmu:jurnal:I:International Review of Economics And Finance:Vol8.Issue3.Sep1999:

W.G. Simpson, A.E. Gleason International Review of Economics and Finance 8 1999 281–292 285 board and corporation. This would probably reduce the effectiveness of the control mechanisms of the governance structure. The issue of CEO duality has received considerable attention because the practice is commonly observed in many large corporations Kesner, Victor, Lamont, 1986. Supporters argue that CEO duality provides better strategic vision and leadership than an independent chairman. H A : The probability of financial distress is lower for a banking firm with a dual chairman of the board and CEO, ceteris paribus. 3.5. Hypothesis V: CEO equity ownership A major premise of Jensen 1993 is that the CEO should pursue the interests of the shareholders. The argument against a combination of the chairman of the board and the CEO is that the manager will be too powerful and not have interests aligned with shareholders. The fact that a CEO would be able to control other officers who were on the board follows the same line of reasoning. A parallel consideration is the equity ownership position of the CEO. The amount of equity a CEO holds should increase the alignment of the interests of the CEO with the interests of shareholders. H A : A banking firm where the CEO has a lower equity ownership position has a lower probability of financial distress, ceteris paribus.

4. Statistical methodology

4.1. Sample design and data sources The sample consisted of those banking firms listed in the SNL Quarterly Bank Digest SNL Securities, 1993, which also had proxy statements available for 1989. The sample included only banking firms that were publicly traded because these were the only firms with publicly available ownership data. The SNL Quarterly Bank Digest provides data on most publicly traded banking firms and includes approximately 375 firms. Only firms that did not have complete financial data or a proxy statement were omitted. The following ownership and board structure measures were taken from 1989 proxy statements: 1. the percentage equity ownership of all officers and directors as a group, 2. the number of directors on the board, 3. the percentage of insiders on the board, 4. the combination of the CEO and the chairman of the board into one position, and 5. the percentage equity ownership of the CEO. A surrogate for financial distress and the control variables were taken from the SNL Quarterly Bank Digest for the end of the year 1993. This procedure produced a sample of 287 banking firms with complete information. The time structure of the regression equations reflects the proposition that the 286 W.G. Simpson, A.E. Gleason International Review of Economics and Finance 8 1999 281–292 effect of ownership and board structure will not be observed immediately in bank performance but will take three to five years to present. The measures of ownership and board structure were taken as of the end of the first quarter 1989 because the proxy information was prepared at that time. The ownership and board structure in place at the beginning of 1989 was expected to influence the probability of financial distress at the end of 1993, approximately five years later. The regression equations are cross-sectional with one lagged independent variable, the measure of ownership or board structure. 4.2. Tests of hypotheses The hypothesized relationships were tested with the following ordered logistic equation: logit p 2 1 p 3 1 p 4 5 a 1 b GOV i 1 g9x i 1 e i where p 1 5 ProbY i 5 1 | GOV i , x i , p 2 5 ProbY i 5 2 | GOV i , x i , p 3 5 ProbY i 5 3 | GOV i , x i , p 4 5 ProbY i 5 4 | GOV i , x i , Y i 5 a variable representing the SNL rating of the ith banking firm 1 5 no risk of financial distress, 2 5 little risk of financial distress, 3 5 some risk of financial distress, and 4 5 strong risk of financial distress, GOV i 5 an indicator of ownership or board structure for the ith banking firm, x i 5 a vector of control variables that will impact the probability that Y i 5 n , b 5 a parameter to be estimated, g 9 5 a vector of parameters to be estimated, a 5 an intercept term, and e i 5 the error term. The term logitp 2 1 p 3 1 p 4 represents cumulative probabilities and the model predicts the probability of more financial distress with changes in the relevant effects variables. The logit term on the left hand side of the equation equals log{p 2 1 p 3 1 p 4 1 2 p 2 2 p 3 2 p 4 }, which is the log of the ratio of the cumulative probabilities that a particular banking firm will have a high level of risk to the cumulative probabilities that the firm will have no risk of financial distress. The estimation procedure assumed a common slope parameter associated with the relevant effects variables and used maximum likelihood regression. 2 The relevant effects vector x i is composed of the variables described in Table 1. The coefficient of primary interest is b . The hypothesized relationships between ownership and board structure and the probability of financial distress in terms of the regression coefficients are: H : H A : I. Management and board equity ownership b b . II. Board size b b , III. Insiders on the board b b , IV. CEO duality b b . V. CEO equity ownership b b . W.G. Simpson, A.E. Gleason International Review of Economics and Finance 8 1999 281–292 287 Table 1 Variable definitions and descriptive statistics Definition of the variable Mean Minimum Maximum SD Sign Y 5 SNL Safety Rating 1.321 1.000 4.000 0.777 GOV 1i 5 common shares 0.164 0.001 0.694 0.141 1 owned by directors and officerstotal common shares GOV 2i 5 number of directors 14.596 4.000 37.000 5.786 2 GOV 3i 5 number of insiders on 0.176 0.000 0.800 0.102 2 boardtotal board members GOV 4i 5 1 if CEO and COB 0.568 0.000 1.000 0.496 1 same person, 0 otherwise GOV 5i 5 common shares 0.0359 0.000 0.621 0.0685 1 owned by the CEOtotal common shares X 1i 5 book value total assets 1.714 bil 70.6 mil 187.6 bil 5.2 bil 2 X 2i 5 nonperforming assets 0.0190 0.0011 0.2010 0.0235 1 total assets X 3i 5 market value per share 1.465 2 18.750 3.629 1.304 2 book value per share X 4i 5 book value of total 0.082 0.013 0.145 0.018 2 equity capitaltotal assets Sign, the hypothesized sign of the regression coefficient in the estimated equations. SD, Standard Deviation of the variable. 4.3. Empirical variables One indicator that measures the potential for financial distress for banking firms is the CAMELS rating developed by federal regulators. Unfortunately, this indicator is not publicly available. However, SNL Securities calculates an indicator called the SNL Safety Rating , which is similar to a CAMELS rating. The SNL Safety Rating measures the risk of each banking firm based on capital adequacy, asset quality, the risk profile of the loan portfolio, earnings, and value assessed by the stock market. The SNL Safety Rating goes from A1 to D2, similar to a bond rating. The SNL Safety Rating was used to proxy the probability of financial distress as follows: A1, A, and A2 5 1 indicating no risk; B1, B, and B2 5 2 indicating little risk; C1, C, and C2 5 3 indicating some risk; and D1, D, and D2 indicating strong risk. The terminology no risk, little risk, some risk, and strong risk follows that used by SNL Securities. The SNL Safety Rating is highly correlated with the probability of default measure developed by Thomson 1992. 3 The financial distress indicator was hypothesized to be a function of the ownership and board structure variables in addition to the following control variables: 1. the size of the banking firm measured by total assets, 2. the default risk of the asset portfolio measured by the ratio of nonperforming assets to total assets, 288 W.G. Simpson, A.E. Gleason International Review of Economics and Finance 8 1999 281–292 3. the risk evaluation of the equity markets measured by the market valuebook value ratio, and 4. financial leverage measured by the book value of equity to book value of total assets ratio. The number of control variables was parsimonious by design but the equations show that most of the variables had high explanatory power. The calculation of the governance structure variables was straightforward except for the percentage of insiders on the board. A strict definition of insiders was applied which included current officers of the banking firm, former officers of the banking firm, and corporate counsel. Board members were considered insiders only if it was obvious from the proxy statements. Table 1 provides a list of all empirical variables with descriptive statistics and the expected sign of the regression coefficients. The banks with publicly traded stock are much larger than the average bank as indicated by the average total assets of 1.714 billion for the sample banking firms. All of the firms in the sample were bank holding companies.

5. Empirical results