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    Efficiency and the Determinants of Bank

    Profitability in MENA Countries

    Dennis Olson, Ph.D.

    Professor of Finance

    School of Business and Management

    American University of Sharjah

    Sharjah, United Arab Emirates

    and

    Taisier A. Zoubi, Ph.D, CMA, CFM

    Professor of Accounting

    School of Business and Management

    American University of Sharjah

    Sharjah, United Arab Emirates

    PRELIMINARY DRAFT

    Authors names are listed alphabetically. Dennis Olson and Taisier A. Zoubi

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    Efficiency and the Determinants of Bank

    Profitability in MENA Countries

    Abstract

    This study compares accounting-based and economic-based measures of efficiency and

    profitability of banks in Middle East and North Africa (MENA) countries. It considers

    differences between banks in GCC countries (oil-based economies) and other MENA

    countries, as well differences between Islamic and conventional banks. The data consist of

    cost, profit, and accounting ratios for all national banks in MENA countries for the period

    2000-2007. Accounting-based measures of performance are based on panel regressions

    using the ratiosreturn on assets, return on equity, net interest margin, and the net

    noninterest margin. Economic-based measures of bank performance are derived fromstochastic frontier analysis using cost and alternative profit functions. These functions are

    first approximated using the the same nonhomothetic translog expansion considered in

    many previous. Then the results are compared with those from three other functional

    forms: Generalized Leontief, minflex Laurent-Generalized Leontief, and minflex Laurent-

    translog. The minflex Laurent forms permit greater flexibility in the approximation

    function and a larger regular region than the translog approximation, while the

    Generalized Leontief form may be preferable to translog forms when there is low elasticity

    of substitution between inputs. These functional forms are used to derive estimates of (1)

    elasticities of substitution between the inputs deposits, labor, and fixed assets, (2) scale

    economies, and (3) cost-based and profit-based measures of the degree of efficiency or

    inefficiency for each bank. A comparison of the economic and accounting-based measuresof profitability is accomplished by second stage panel regressions using measures of

    efficiency as the dependent variable and the various accounting ratios as independent

    variables.

    Preliminary results show that GCC banks and Islamic banks are more profitable than

    other MENA banks using accounting based measures of performance. They are also more

    cost and profit efficient based on stochastic frontier analysis. The accounting and

    economic-based performance indicators provide somewhat consistent results among banks

    and countries. However, there are some differences between the estimates from the four

    different functional forms. There are also differences in results when cost and profit

    functions are estimated separately for GCC and non-GCC countries for Islamic and

    conventional banks, suggesting that there are considerable differences between the natureof the banking industry across countries.

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    1. Introduction

    During the last two decades the banking sector in the MNEA (Middle East and North

    Africa) region has experienced major transformations in its operating environment. Both external

    and domestic factors have affected its structure and performance. The role of banks remains

    central in financing economic activity and providing for sustained economic growth and

    development. Also, a sound and profitable banking is better able to withstand word-wide or

    regional financial shocks. Given the importance of the banking sector it is not surprising that a

    substantial body of academic now exists that examines cost efficiency and profitability in the

    banking sector. Since most of the literature has focused upon the banking sectors in North

    America and Europe, there is need for a more comprehensive examination of the determinants of

    profitability and efficiency in developing countries and for the MENA region, in particular

    The literature on profitability and efficiency in the banking industry can be classified into

    two groups of studieseconomics-based and accounting-based. The economics-based research

    uses using various mathematical models to measure the efficiency by which banks convert inputs

    into one or more bank outputs. Cost and/or profit efficiency is then calculated as the distance

    away from some ideal frontier measured relative to the lowest cost or highest profit firms in the

    sample. The accounting-based research uses more comprehensive information from financial

    statements to identify the determinants of bank profitability. Some studies focus upon the

    external factors determining bank profit, such as market share, inflation, business cycles, and

    industry return; while other work emphasizes the impact of bank-specific or internal factors of

    profitability such as size, revenue growth, business risk, credit risk, and expenses. With some

    notable exceptions, such as Grinyer, McKiernan, and Yasai-Ardekani, 1988; White, 1986; and

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    Lenz, 1981, most studies do not assess the joint impact of internal and external factors on bank

    profitability. Similarly, few studies [with the exception of Berger and Mester (1997)] have

    examined the relationship between cost or profit efficiency and the accounting-based

    determinants of bank profitability.

    The aim of this study is threefold. First, we examine the effect of bank-specific internal

    factors and external factors on banks profitability, using an empirical framework that

    incorporates the nonlinear relationship among the variables examined in this study. We apply

    nonlinear models to a panel of MENA banks for the period 2000-2007. Second, we estimate cost

    and profit efficiency for MENA banks based upon estimates from a parametric stochastic

    frontiers calculated from the translog and other functional forms. Third, we check for

    consistency between the results of the economics and accounting-based measures of bank

    efficiency and profitability.

    The focus on banking in the MENA region is important a number of reasons. It is a fast

    growing region in terms of both population and wealth. Recently, several countries from the

    Gulf Cooperation Council (GCC) have provided considerably liquidity for the world banking

    system. The banking sector in the MENA region is relatively young, with most banks only

    dating back to the 1950s and many being established in the 1970s and even more recently. The

    region is particularly interesting because it provides a mix of conventional and Islamic banks and

    because some economies are based on oil exports, while others are not.

    The remainder of the paper is organized as follows. Section 2 provides a review of the

    literature on bank efficiency, determinants of profitability, and studies of the MENA banking

    industry. Section 3 describes the data and Section 4 defines the variables used to examine bank

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    profitability. Section 5 presents the accounting-based determinants of profitability derived from

    panel estimates by fixed and random effects models. Section 6 presents the translog functional

    form which is used to estimate cost and profit efficiency for Islamic versus conventional banks

    and to identify efficiency differences for oil exporting nations versus other MENA economies.

    Section 7 compares the results for the translog approximation with those of the minflex Laurent-

    translog, Generalized Leontief, and the minflex Laurent-Generalized Leontief approximations for

    the cost and profit functions of MENA banks. Section 8 compares accounting and economic-

    based measures of efficiency by checking whether accounting ratios used in Section 5 explain

    cost and profit efficiency measured in section 6. Section 9 makes some concluding remarks.

    2. Literature ReviewSeveral studies have examined the effect of the internal and external factors on bank

    profitability [e.g., Berger et. al. (1987), Neely and Wheelock (1997), and Barajas et. al. (1999)].

    Internal variables utilized include various measures of size, capital, risk management and

    expense management. Molyneux and Thornton (1992), Bikker and Hu (2002), and Goddard et.

    al. (2004) contend that size is closely related to profitability of a bank since relatively large banks

    tend to raise less expensive capital and, hence, appear more profitable. Other studies, such as

    Amato and Wilder (1985) Grant et. al. (1988), and Ramanujam and Varadarjan (1989) have

    raised concerns that variables other than bank size have a major impact on profitability. For

    example, leverage was found to be important and usually negatively correlated with profitability

    as in Grant and Jammine (1988) and McDougall and Round (1984).

    External determinants of bank profitability examined in prior studies include inflation,

    interest rates, cyclical output, market concentration, industry size, and ownership status. For

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    example, Saunders and Schumacher (2000) showed that the degree of bank capitalization, bank

    market structure, and interest rate volatility affect profitability, as measured by interest rate

    margins, for banks in six European countries and the US over the period 1988-95. Brock and

    Suarez (2000) examined the performance of banks for seven Latin American countries during the

    1990s. They reported that bank spreads are influenced by liquidity and capital risk at the bank

    level, and by interest rate volatility, inflation, and GDP growth at the macroeconomic level.

    Previous research relevant to the MENA include Hakim and Neaime (2000) who

    examined the effect of liquidity, credit risk, and capital adequacy on profitability of banks in

    Egypt and Lebanon for the period 1993-1999. Return on equity was used as a measure of

    profitability. Their results show that lending activities have strong impact on profitability of

    banks in both countries, while the effect of capital adequacy on profitability was stronger for

    Lebanese banks than Egyptian banks. Liquidity was not an important factor in explaining bank

    profitability in either country.

    Ahmed and Khababa (1999) studied the effects of size, business risk, and market

    concentration on the profitability of eleven commercial banks in Saudi Arabia for the period

    1992-1997. They employed a regression model using three measures of profitability--return on

    assets, return on equity, and earnings per share. Their result showed that business risk and bank

    size explained bank profitability in Saudi Arabia.

    Essayyad and Madani (2003) examined the concentration, efficiency, and profitability of

    10 commercial banks in Saudi Arabia for the years 1989-2001. They showed that the Saudi

    Arabian banking industry is highly concentrated and has a four-firm concentration ratio ranging

    between 69% and 87%. Additionally, profitability rises with increases in bank efficiency and

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    that Saudi Arabian bank profits are positively related to oil revenues.

    Islam (2003) examined the development and performance of local and foreign banks in

    three GCC countries (Bahrain, Oman, and UAE) for the period 1996-2000. He calculated the

    return on average total assets of banks on those countries to measure the performance of the

    banking sectors on those countries. No attempt was made to examine empirically the

    determinants of bank profitability. He also examined the funding of commercial banks, deposit

    insurance schemes, assets quality, audits and reporting, and the offshore banking activities.

    Islams study can be characterized as descriptive of the economy and banking sectors in three

    GCC countries.

    Ben Nacer (2003) examined the effect of internal and external factors on the return on

    assets of ten Tunisian banks for the period 1980 through 2000 using regression analysis.

    Significant internal factors positively related to were the ratios of overhead expenses to total

    assets, loans to assets, and equity to assets, and bank size. Important external determinants of

    profitability included market concentration and the relative size of the banking sector in GDP,

    while traditional variables such as inflation and the percentage annual growth in GDP did not

    significantly affect profitability.

    Tarawneh (2006) studied the impact of bank size (total assets), assets utilization ratio

    (operational income divided by total assets) and operational efficiency (total operating expenses

    divided by net interest income) on profitability measured by return on assets and interest income

    for five Omani banks for the period 1999-2003. These three explanatory variables were

    statistically significant in explaining profitability of Omani banks.

    Ramanathan (2007) examined the performance of 55 GCC banks using Data

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    Envelopment Analysis (DEA) and Malmquist Productivity Index (MPI) for the period 2000-

    2004. He used two output factors: loans and other earning assets and four input factors: fixed

    assets, deposits, equity, and fixed assets. Only 15 banks in the GCC region were efficient,

    although the MPI results indicated that there was an improvement in productivity during the

    period 2000-2004 in four countries: Bahrain, Kuwait, Saudi Arabia, and UAE.

    Angbazo (1997) examined the effect of bank reserves, the leverage ratio (capital to

    assets), default risks (loan charge offs to total loans), efficiency (earning assets to total assets),

    and liquidity risk (liquid assets to total liabilities) on banks performance as measured by the net

    interest margin for US banks during the years 1988-1993. He found that leverage, efficiency, and

    liquidity risks were positively related to bank performance.

    Berger and Mester (1997) undertook a rather comprehensive analysis of cost and profit

    efficiency in U.S. banking and also examined accounting correlates of economic efficiency.

    Demirg-Kunt and Huizinga (1999) examined the internal and external determinants of

    profitability of banks in 80 countries for the period 1988-1995. Internal bank characteristics

    (such as size, percentage of foreign ownership, loan to assets ratio, equity to assets, overhead

    costs to total assets ratio, and non-interest earning assets), macroeconomic conditions (such as

    inflation and short term interest rates), and country-specific institutional features (such as explicit

    and implicit bank taxation,deposit insurance regulation, overall financial structure, and the

    underlying legal structure) all affect bank profitability.

    Brock and Rojas-Suazez (2000) utilized a two step procedure to examine bank interest

    rate spreads in five Latin American countries during the mid 1990s (Argentina, Bolivia,

    Colombia, Chile, and Peru). In the first stage, they regressed the bank interest spread against

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    variables such as non-performing loans, capital ratio, operating costs, liquidity and time

    dummies. They found positive coefficients for capital ratio, cost ratio, and the liquidity ratio;

    while the effect of nonperforming loans was mixed (positive for some countries and negative for

    others). In the second stage pure bank spreads were regressed against macroeconomic

    variables. This procedure showed that profitability, as measured by bank spreads, was positively

    related to interest rate volatility and inflation, but unaffected by the growth rate of GDP.

    Kosmidou, Pasiouras, and Tsaklanganos (2007) examined the determinants of

    profitability of Greek banks operating in 11 nations over the period 19952001 using regression

    analysis. Bank size, asset quality (loan loss provision divided by net interest income), liquidity

    (net loans divided by total assets), capital strength (equity divided by total assets), a cost variable

    (noninterest expense divided by average assets), a concentration variable (total assets of 5 largest

    banks divided by total assets of all banks), and market share (deposits of the bank divided by

    total deposits of all the banks) were important factors in explaining bank profitability..

    Valverde and Fernandez (2007) examined the determinants of bank margins for 19,322

    bank-years in seven European countries (Germany, Spain, France, the Netherlands, Italy, the

    United Kingdom and Sweden) for the period 19942001. The primary measure of bank

    performance was the loan to deposits rate spread, while accounting gross income and the Lerner

    Index provided a consistency check. Lagged values of the dependent bank margin variable,

    credit risk, liquidity risk, interest rate risk, ratio of deposits to total liabilities, totals for other

    earning assets and loan commitments, and operating inefficiency were positively correlated with

    bank margins. Loans to total assets, other earning assets to total assets, and GDP were

    negatively related to bank margins. (doesnt make sensereview paper)

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    (Review this on e too) Barros, Ferreira, and Williams (2007) estimated the probability of

    bank performance, measured by cost efficiency and profit efficiency using a stochastic frontier

    and Fourier flexible functional form for a sample of 1384 banks operating in 15 European

    countries for the period 1993-2001. Several factors were used to explain the performance of a

    bank using mixed logit. Explanatory variables are: national banking markets; the legal system of

    the banks country, location of the bank; the country of origin of foreign banks; the amount of

    loans, deposits, and assets of each bank; total assets of the bank to total assets of all the banks for

    over the period, total loans of a bank to total loans of all the banks, deposits of a bank to total

    deposits of all the banks. The results of this study indicate that better performer banks tend to be

    larger than their worst performing banks. Worst performing banks has less loans and less

    efficient in terms of cost and profit than best performing banks. However, the results indicated

    that the location of the bank and the country of origin of the bank were insignificant variables for

    best performing banks but significant for worst performing banks. Legal tradition is a significant

    variable in explaining bank performance.

    Kosmidou (2008) examined the effect of banks characteristics (internal factors) and the

    macroeconomic and financial structure (external factors) on profitability, measured by return on

    average total assets, of Greek banks for the period 1990-2002 using ordinary least squares. The

    study indicate that the equity to assets ratio, loan loss reserves to loans, bank size, annual change

    in GDP, inflation rates, ratio of banking system assets to GDP, ratio of market capitalization to

    banks assets and concentration ratios were statistical significant and had the expected signs in

    explaining profitability of banks. However, the money supply growth variable was not

    significant in explaining profitability of banks.

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    Other studies of relevance to the MENA area include Bennaceur and Goaied (2008) who

    investigated the profitability of Tunisian banks and Muharrami, Matthews, and Khabari (2006)

    who examined market structure in the Arab GCC banking system. Our study goes beyond

    previous work by considering the whole MENA region and we examine internal and external

    factors in an accounting-based study of profitability based on a panel regression model. Such

    results are compared with an economic-based study of cost and profit efficiency. The

    economics-based results are derived using both the traditional translog function form for the

    stochastic frontier as well as more flexible functional forms represented by various minflex

    Laurent models.

    3. Data

    In order to examine the factors that explain the profitability of banks in the MENA region, we

    collected data from the annual reports of banks in the MNEA region for the years 2000-2007.

    The income statement, statement ofchange in stockholders equity, balance sheet, statement of

    cash flows, and the notes to the financial statements were obtained from the annual report of each

    bank as reported on their individual websites. External variables affecting bank performance

    (e.g., inflation, GDP) were collected from International Monetary Fund (IMF).

    The period of analysis represents the years for which electronic data are available for the majority

    of banks in the MENA region. Foreign banks (such as Citibank, HSBC, ABN-Amro, etc.) have a

    significant presence in the region, but they are excluded from the sample because country-

    specific financial results are difficult to identify. Noting these caveats, we obtained data for 85

    different banks for the years 2000 to 2007, for a total 470 bank-year observations. The

    distribution of sample banks for the eleven Mena countries in our sample for the years 2000-2007

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    is shown in Table 1. Panel A indicates that the number of banks in the sample begins with 35 in

    2000 and peaks at 82 in 2005. Annual sample size varies primarily because electronic data for

    several banks in our sample were not available prior to 2002 and for some banks we could not

    obtain data before 2004. There are only 23 banks in the sample for 2007 because some banks

    only post annual reports with a considerable delay. Finally, the decline in the number of banks

    after 2005 is due to bank mergers.

    Looking at the data set by country, our sample ranges from 12 bank-years of data for Tunisian

    banks up to 76 bank-years of data for banks in the United Arab Emirates. Panel B shows that

    there are 308 bank-years of data for the oil producing countries of the GCC and 162 bank-years

    of data for the non-oil producing countries of the MENA region. The sample contains 109

    Islamic bank-years of data and 361 bank-years for conventional banks. Further subdivision

    reveals that there are 104 bank-years of data for GCC Islamic banks and 204 bank-years of data

    for conventional GCC banks. For the non-GCC region, there are only 5 bankyears of data for

    Islamic banks and 157 bank-years of data for conventional banks.

    3. Variables used in the studyThe ratios and variables used in this study are summarized in Table 2. Accounting-based

    studies of performance generally search for variables that explain differences in bank profitability

    and based upon the review of the literature four profitability ratios are considered in this study.

    The two most common measures of bank performance are return on assets (ROA), which is

    defined as net income divided by total assets and return on equity (ROE), which is net income

    divided by average shareholder equity. Two banking industry specific measures of performance

    are the net interest margin (NIM), which is interest income minus interest expense divided by

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    total assets, and the net non-interest margin (NNIM), which is noninterest income minus

    noninterest expense divided by total assets. In contrast, economics-based studies of cost and

    profit efficiency generally take input quantities (e.g., number of workers, total deposits, fixed

    assets) and aggregate costs for these categories of expenses (e.g. personnel expenses, interest

    expenses, other non-interest expenses) to estimate some ideal minimum cost function.

    Calculation of profit efficiency requires additional information about operating and interest

    income and adjustments to net income. Following Maudos et al (2002) and other studies, we

    measure profit efficiency using operating profit, which is defined as net income minus provisions

    for loan losses. The various internal and external variables used as determinants of bank

    profitability are described below.

    4.1 Internal bank characteristics

    Bank size (SIZE) is represented by the logarithm of total bank assets. In the banking

    literature, bank size is the single most analyzed aspect of banking industry structure and bank

    performance. Based on studies such as Hall and Weiss (1976), Grant, Jammine, and Thomas

    (1988), and Kosmidou, Pasiouras, and Tsaklanganos (2007) the log of total assets is the most

    frequently used measure of size. Generally, a positive relationship between profitability and

    SIZE is expected, but this single measure may be too simplistic if profitability depends upon

    relative size within a country, or if banks are subject to economies of scale up to a point and

    diseconomies of scale thereafter. However, such nonlinearities can be checked using squared

    and cubic terms in a separate test.

    The loan specialization ratio (LOANS) is defined as net loans divided by total assets. It is

    referred to as a liquidity ratio or an asset utilization ratio in some studies of the banking industry.

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    Loans generally provide the highest risk and highest return of any bank asset. Provided a bank is

    not taking on unacceptable risk, the relationship between LOANS and bank profitability should

    be positive.

    The security specialization ratio (SECUR) is the ratio of other earning assets to total

    assets. Other earning assets include all return-bearing assets other than loansmeaning various

    types of securities. As noted by Staikouras, Mamatzakis, and Koutsomanoli-Filippaki (2008),

    this ratio measures bank diversification and should be positively related to profitability.

    The deposit specialization ratio (DEPLIAB) shows the importance of customer deposits

    as a source of bank funds. It defined as total deposits divided by total liabilities and clearly

    similar to the ratio of deposits to total assets as used in some studies. Since deposits are the

    lowest cost source of funds, a positive relationship might be expected between DEPLIAB and

    profitability. However, deposits are the least stable source of funds, so that the profitability

    relationship may not be entirely clear. Valverde and Fernandez (2007) argue that the variable

    could be either positively or negatively related to profitability depending upon whether deposits

    are used as loss leaders to attract customers to other bank services and whether customers

    actually purchase other services.

    4.2 Internal measures of bank efficiency

    Operating Expenses to Income, or the Inefficiency Ratio (INEFF), is defined as operating

    expenses divided by gross income. Total bank costs can be separated into operating expenses

    plus income expenses, while gross income is the sum of interest income and operating income.

    Operating expenses are deemed to be under the control of management, so this expense ratio (or

    variants such as operating expenses to operating income, or operating expenses to total assets,

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    etc.) measures bank inefficiency. Valverde and Fernandez (2007) contend that higher noninterest

    expense relative to income implies lower efficiency (greater inefficiency)meaning that the

    inefficiency ratio is negatively related to bank profitability.

    The ratio of overhead, which is depreciation plus other expenses, to total assets (OVER)

    would seem to be a variable that bank managers would want to control. However, Bennaceur

    and Goaied (2008) discovered that overhead expenses were significantly positively related to the

    net interest margin, as well as to return on assets. They argued that overhead costs are apparently

    are passed on to depositors and lenders. Reasons for this relationship are not entirely clear, but

    these expenditures may reflect amenities and other services that bank customers want, even if

    costs are higher.

    Higher values of noninterest bearing assets as a fraction of total assets (NIBA), where

    non-earning assets include cash, fixed assets, and amounts due, should be negatively correlated

    with profitability. As expected, Bennaceur and Goaied (2008) found NIBA to be negatively

    related to profitability. Staikouras, Mamatzakis, and Koutsomanoli-Filippaki (2008) examined a

    similar ratio, the cash to assets ratio and determined that it also was negatively correlated with

    profitability.

    Our final efficiency variable is the labor cost to gross income ratio (LCI), which shows

    the efficiency of management in controlling labor cost relative to total revenue. Normally, higher

    ratios suggest inefficiencies and there should be a negative relationship between this variable and

    profitability. However, in the MENA region, wages and salaries are a lower part of total bank

    expenses than in other countries, so that higher numbers may suggest better utilization of a

    relatively less expensive input in production.

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    4.3 Internal measures of risk

    Default risk (RISK) is calculated by dividing total debt by total assets. As suggested by

    Vander Vennet (2002) and Altunbus et.al. (2001), this variable also indicates differences in risk

    preferences between banks. Generally, a negative relationship between profitability and risk of

    the bank is expected, although the two variables might be positively correlated a very low levels

    of bank debt.

    Credit risk (CRISK) is measured by the loan-loss provisions to loans ratio. Prior research

    suggests that increased exposure to credit risk is normally associated with decreased bank

    profitability. For example, Valverde and Fernandez (2007) found that the ratio of loan defaults

    to total loans is a forward looking measure that is a significant negative determinant of bank

    profitability. Kosmidou, Pasiouras, and Tsaklanganos (2007) use a similar ratio, the ratio of loss

    provisions to net interest income as a measure of asset quality and obtain similar results.

    Capital strength (CSTR) is defined as equity divided by total assets. It measures capital

    adequacy and higher ratios show better capitalized bank having lower leverage and lower risk.

    Many prior studies going back to Berger and Mester (1997) have found a positive relationship

    between profitability and capital strength. Nevertheless, since equity is such a high cost source

    of bank funds, and if a bank is already adequately capitalized or even over-capitalized, the impact

    on return of greater equity may be negative. Such results have been shown by Kosmidou,

    Pasiouras, and Tsaklanganos (2007) and Staikouras, Mamatzakis, and Koutsomanoli-Filippaki

    (2008).

    4.4 External explanatory variables

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    Change ingross domestic product (CGDP) is used a proxy for cyclical output. Prior

    studies contend that GDP growth has a major impact on banks profitability over the business

    cycle. For example, a cyclical downswing could reduce lending activities of banks, which in turn

    reduces reduce interest income. High economic growth, in contrast, leads to more bank deposits

    and more lending activity, which should increase bank profits.

    Inflation (IFL) has generally been found to negatively impact bank profits. For example,

    Boyd et al. (2001) find evidence of a strong negative correlation between inflation and lending

    activity, perhaps because banks to no want loans repaid in inflated dollars. Bank profitability

    ratios should be higher in countries with lower inflation rates.

    Concentration (CONC) is the ratio of total assets of one bank to the total assets of all

    banks in a country. Alternative measures of concentration, such as the deposits of a bank divided

    by country total deposits of all banks in the country, or the ratio of a banks loans to total bank

    loans may be equally good measures of concentration. However, all three measures are highly

    correlatedmeaning that only one measure of concentration is needed to explain bank

    profitability. Previous studies have found a positive relationship between profitability and

    various measures concentration.

    Finally, two dummy variables are introduced: GCC and TYPE. The GCC dummy is

    equal to one if the bank is located in a GCC, or oil producing country. It is set equal to zero if a

    bank is in a non-GCC country in the MENA region. TYPE is set equal to one for Islamic banks

    and it is equal to zero for conventional banks.

    4. Accounting-Based Examination of ProfitabilityKeeton and Matsunaga (1985) and Smirlock (1985), Islam (2003), Kosmidou (2008) have

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    argued that return on assets (ROA) is the most useful measure of profitability and bank

    performance over time since assets have a direct affect on both components of profit--income

    and expenses. Our data sample consists of 470 bank-years of data from 87 different banks for

    eight different years from 2000 to 2007. Since the number of years of data varies by bank, our

    sample is considered an unbalanced panel of cross sectional and time series observations.

    Econometric estimation of the model to discover the determinants of ROA (as well as the

    determinants of ROE, NIM, and NNIM) is performed using a generalized least squares panel

    estimator. Although results are often similar, the panel estimator provides an efficiency gain

    over least squares estimation of panel data because it uses more information. Following standard

    practice in the literature, we then examine two types of panel models. The more complex fixed

    effects model requires the estimation of a bank specific effectmeaning an individual intercept

    for each of the 87 banks. The computationally simpler random effects model assumes

    homogeneity between banks and only requires a single intercept term across all banks.

    The basic framework for the panel models is:

    Yit = i + Xit + it , (for i = 1,470 and t = 2000,2007) (1)

    where Yit is the dependent variable (either ROA, ROE, NIM, or NNIM), i is the firm specific

    intercept, Xit is a vector of the (up to) 16 internal and external variables described in Table 2 that

    affect each bank-year observation, is simplified notation for the (up to) 16 regression

    coefficients for the variable Xit, and it is the disturbance term that is assumed to be normally

    distributed with a mean of zero. Since many of the internal and external variables are highly

    correlated, only some subset of independent variables (label the number as k) will be significant

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    in determining the best models for each profitability ratios. The independent variables for each

    profitability ratio are selected from an exhaustive search based on maximizing the F statistic of a

    panel model using version 7.0 of the RATS statistical package.

    The models that best explain the four profitability ratios are presented in Table 4, Panels

    AD. The choice between a fixed and random effects model for each of the four profitability

    ratios is made using a Hausman test. The null hypothesis for the Hausman test is that all of the i

    intercept terms are equal. Insignificant values of the Hausman test statistic, which is distributed

    as chi-square with k degrees of freedom, imply failure to reject the simple random effects model.

    In contrast, significant values for the Hausman statistic mean the more complex fixed effect

    model should be used to examine bank profitability. In the economics and finance literature, in

    general, the simpler random effects model is preferred in the majority of cases using panel data,

    but certainly not for all data sets.

    The first profitability ratio, ROA, is best described by a fixed effects panel model. The

    simple random effects model is rejected at the 1% significance level. As expected, the loan

    specialization ratio (LOANS) is positive and statistically significant. The overhead ratio (OVER)

    also is significant and positive. This is somewhat unexpected, but Bennaceur and Goaied (2008)

    reported a similar result for Tunisian banks. It probably shows that overhead expenses are being

    used to generate profit. The inefficiency ratio (INEFF), as expected based on many previous

    studies, is significantly negatively related to ROA. Capital strength (CAPSTR), as found in most

    studies, is significantly positively correlated with ROA. Although somewhat surprising, inflation

    (INFL) is positively correlated with ROA. However, strong significance for this variable

    requires that the GCC dummy variable also be included. The GCC and TYPE dummies indicate

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    that banks in oil producing countries enjoy higher profitability and that Islamic banks have higher

    return on assets than conventional banks. Remaining variables not selected in the final model

    generally have expected signs, but are subsumed by included variablesoften because of

    multicolinearity problems. For example, NIBA would be negatively statistically significant if

    LOANS is removed.

    ROE can be explained by a random effects panel model. The significant explanatory

    variables INEFF, OVER, INFL, GCC, and TYPE have the same signs as in the ROA equation.

    There is a positive relationship between ROE and SIZE, while CONC is negatively related to

    ROE. Both the SIZE and CONC variables have the same sign as in the Bennaceur and Goaied

    (2008) study. This result suggests that larger banks have higher ROE across all countries, but

    that within a country that concentration or relative size may negatively impact profitability as

    measured by ROE.

    The remaining two ratios (NIM and NNIM) capture two generally complementary, but

    occasionally conflicting, components of the first profitability ratio (ROA). NIM is best

    represented by a fixed effects model. As expected, the variables LOANS, INEFF, OVER, and

    CAPSTR have the same signs as in the previous ROA and ROE regressions. The TYPE dummy

    variable is negativeshowing that Islamic banks rely less upon interest related revenues than

    conventional banks. The variables LCI and CRISK are positive showing that a larger net interest

    margin is needed to maintain profitability as labor expenses proportionately increase (LCI) and

    when credit risk is deemed higher (CRISK). DEPLIAB is positively related to NIMmeaning

    that banks more dependent upon deposits can obtain a higher net interest margin because

    deposits are a low cost source of funds.

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    NNIM can be represented by a random effects model. INEFF and CAPSTR have the

    same signs as in previous models. However LOANS and SECUR have a negative sign. LOANS

    are positively related to the NIM, so loan specialization is negatively related to the noninterest

    margin. A negative relationship between SECUR and profitability, in general, occurs because

    banks that specialize more in securities have less loans as a percent of total assets. However, the

    specific negative relationship between SECUR and NNIM may not be as easy to explain (but Im

    Taiser can do it). Finally, TYPE is positive and statistically significant showing that Islamic

    banks rely more upon noninterest sources of income.

    5. Economic-Based Examination of Cost and Profit EfficiencyFollowing a long tradition in the banking literature, we initially adopt a translog flexible

    functional form to estimate cost and profit functions for MENA banks. As in Berger and

    Mester (1997), the intermediation approach is adopted so that assets on the bank balance sheet

    are treated as outputs and liabilities and physical factors of production are treated as inputs. In

    our study, banks are assumed to use the inputs x1 = deposits, x2 = labor, and x3 = physical capital

    to produce the outputs y1 = net loans and y2 = dollar value of securities and other earning assets.

    In some formulations of cost and profit functions, the total dollar value of these two earning

    assets is simply added together and called output (Y), where Y= y1+y2. Deposits are the sum of

    all checking, savings, and time deposits at an institution as measured in U.S. dollars. Its unit

    price (p1) is defined as interest expense divided by total deposits, while the share of the deposit

    input in a banks total cost (s1) is interest expensed divided by total cost (where total cost is the

    sum of interest expense plus other expenses). The labor input is measured by total personnel

    expenditures. Labors share of total cost is s2 = personnel expenditures/ total cost, and its price

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    (p2) is proxied by personnel expenditures/ total assets. This definition of price, also adopted by

    Maudos et al (2002), can be used when data on the number of employees are not readily

    available. Finally, physical capital is defined as expenditures on plant and equipment, as

    measured by depreciation plus other expenses on the income statement. Capitals share of total

    cost is s3 = (depreciation + other expenses)/ total cost and its price is estimated by p3 = other

    noninterest (and non-personnel) expenses/ book value of fixed assets.

    In addition to the rather standard inputs and outputs defined above, we follow Berger and

    Mester (1997) and include the dollar value of financial equity capital for each bank as a quasi-

    fixed netput quantity (E) that enters into the translog unit cost function.

    The translog cost function estimates the natural log of total cost for each bank in each

    year (with the bank and time subscripts deleted for notational convenience) as a function of the

    natural logs of input prices, outputs, and netputs as follows:

    3 3 3 2 2 2

    0

    1 1 1 1 1 1

    1 1ln ln ln ln ln ln ln

    2 2i i ij i j n n nm n m

    i i j n n m

    C p p p y y y

    3 2 3

    1 1 1

    ln ln ln ln ln ln lnin i n E EE Ei ii n i

    p y E E E E p

    2

    1

    ln ln Ei nn

    E y u

    . (2)

    The Greek letters refer to parameters that will be estimated using nonlinear least squares

    regression on the system of equations that include the cost function plus the share equations for

    s1 and s2 as follows:

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    3 2

    1 1 1 1 1 1

    1 1

    ln ln ln j j n n E j n

    s p y E

    (3)

    3 2

    2 2 2 2 2 2

    1 1

    ln ln ln j j n n E j n

    s p y E

    . (4)

    Since the share equations sum to one, the third share equation (s3) for physical capital is omitted.

    The share equations are included in the system of equations to improve efficiency of estimation.

    The cost function can be estimated by itself, but since the share equations add no new

    parameters not already included in the cost function, the additional information provided

    improves the precision of parameter estimates. The terms , 1 and 2 represent stochastic error

    terms for each firm in each time period in the respective regression equations (2), (3) and (4),

    while u is a nonnegative term measuring potential inefficiency. The term u in equation (2)

    cannot be directly estimated from the system of three equations. Instead, the error term in

    equation (2) for any firm kis actually uk+ k. By estimating a stochastic efficient frontier instead

    of some average cost function, one assumes that the best practice or lowest cost firm has zero

    inefficiency, or that uk= 0. Stochastic errors average out to zero, so assume that k= 0 for a

    typical bank and that uk> 0 for all but the best practice bank. A common measure of inefficiency

    (IN) is the percentage difference in total cost to produce any level of output for a given bank (C k)

    versus the minimum possible cost for the best practice bank (Cmin). Mathematically, percentage

    inefficiency for any firm is expressed by

    IN = 100 (Ck/Cmin1). (5)

    To obtain a determinate solution to the system of equations, some further restrictions are

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    commonly imposed on the estimation of the translog cost function. First,3

    1

    1i

    i

    ensures that

    factor shares sum to one. Then, symmetry requires that12 21

    andij ji for all ij. Finally,

    linear homogeneity in input prices imposes the following restrictions:

    3 3 3 3

    1 1 1 1

    0ij ij in Eii j i i

    . (6)

    Note that the cost function in equation (2) is nonhomothetic, meaning that no restrictions are

    imposed on the relationship between cost and outputs. This means that returns to scale can vary

    with output level and that different factor proportions might be efficiently employed at different

    output levels.

    To measure overall returns to scale, the translog cost function can be differentiated with

    respect to the outputs y1 and y2. Assuming that the dollar value of loans and securities can

    simply be added together, a measure of scale economies (SE) is

    2 2 2 3 2 2

    1 1 1 1 1 1

    1ln ln ln ln

    2n nm n m in i Ei

    n n m i n n

    SE y y p E

    . (7)

    If SE0, there exist decreasing returns to scale or diseconomies of scale. Finally, SE=1

    means constant returns to scale and no economies nor diseconomies of scale. This, in a sense,

    implies optimal bank size. Because the cost function is non-homothetic and the approximation is

    around a point, the measured scaled economies may be different for banks much smaller or larger

    than the average bank in the sample.

    The translog function is said to be a flexible functional form and it is the most popular cost

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    function used to model cost and efficiency in banking. Hence, it is adopted for a first look at the

    banking sector in the MENA countries. The major underlying assumption of the translog model

    is that the underlying cost and production functions can be represented by a specific type of

    logarithmic relationship between input prices, input quantities, output quantities and total cost of

    production. The translog approximation has proven reasonable for a variety of cost, production,

    and consumption data in many, but not in all studies. There is some controversy regarding

    whether other functional forms significantly improve upon the translog approximation and that

    issue is explored in Section 7.

    The translog profit and alternative profit functions have been discussed and modeled in

    Berger and Mester (1997), Maudos et al (2002), and in many other studies. Since data on output

    prices are not available, the specific form adopted in most studies is to estimate the alternative

    profit function. Now define = operating profit, which is net income minus provisions for loan

    losses as defined in Maudos et al (2002). For the cost function of equation (2), we replace ln C

    on the right-hand side of the equation with + , where is a positive number added to the profit

    of the least profitable (most unprofitable) bank so that its operating profit equals zero. This

    avoids the problem of trying to take a natural log of a negative number. Profit efficiency is

    calculated in the similar manner to cost efficiency except that banks are compared against the

    most profitable and not the minimum profit bank. Hence, equation (5) is modified as follows:

    IN = 100 (1 - k/max). (8)

    Maximum likelihood estimates of the parameters of the translog cost and alternative profit

    functions are presented in Table 5. The log of the likelihood function for the estimated translog

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    cost function is 485.73 and 16 of the 21 estimated coefficients are significant at the 5% level.

    Scale economies estimated using equation (7) are SE = 1.018 > 1, suggesting very minor

    diseconomies of scale. The log of the likelihood function for the alternative profit function is

    LLF = 206.29, which confirms the results of previous studies that the translog cost functions are

    estimated with greater precision than the profit functions. However, the fit still appears to be

    reasonable since 15 of 21 estimated coefficients are significant at the 5% level. Scale economies

    as measured by the alternative profit function are SE = 0.9987 < 1, suggesting almost constant

    returns to scale.

    Another use of cost and profit functions, and perhaps the main objective of many economic

    studies, is to determine substitution possibilities between the various factors of production. The

    most common measure of input substitution possibilities between any two factors i andj is the

    Allen elasticity of substitution (AESij). The Allen cross-price is defined as AESij = ij/SiSj for i

    j and the Allen own-price elasticity is AESii = ii/SiSij -1/Si for all factors. The notation is the

    same as in equations (2), (3), and (4) where as ij and ii are regression parameters and Si and Sj

    are the factor shares in either the cost or profit function, depending upon which equation is being

    estimated.

    Based upon the cost function parameters presented in Table 5, the average Allen elasticities

    of substitution across all years are presented in Table 6. The own-price elasticities are on average

    all negative as required by economic theory, showing that an increase in factor price reduces

    factor usage. For the first factor (deposits), AES11 = -0.51, while AES22 = -1.85 for labor and

    AES33 = -2.30 for fixed assets. These results show that deposits are least elastic factor in

    production, which seems logical since deposits are needed to fund the purchase of securities or

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    the granting of loans. The cross-price elasticities are AES12 =.36, AES13 = .71 and AES23 = .79

    showing that factors are somewhat substitutable, but nevertheless inelastic.

    The own-price Allen elasticities for the profit function are AES11 = -0.67, AES22 = -3.40, and

    AES33 = -2.49. The cross-price elasticities are AES12 = 0.84, AES13 = 0.68, and AES 23 = 0.93.

    These again show inelastic factor demand, but slightly greater substitution possibilities than

    suggested by the cost function.

    6. A comparison of the translog and minflex Laurent functional formsThe translog approximation to the true cost function is only locally flexible and Berger and

    Mester (1997) note that the potentially globally flexible Fourier cost function may be preferable

    when there is a wide range of bank sizes across a data sample. Another globally regular

    functional form is Barnett, Geweke and Wolfes (1991) asymptotically ideal model (AIM). It has

    recently been implemented by Fisher, Fleissing, and Serletis (2001) and Feng and Serletis (2008)

    to model a variety of consumption and cost data. While these globally regular approximations

    may hold promise for improved modeling of efficiency in the banking industry, they are beyond

    the scope of this paper.

    Globally regular forms may impose too rigid a structure on the cost and profit functions

    particularly if some banks truly do not try to minimize costs or maximize profits. An alternative

    is to examine other locally flexible functional forms such as the Generalized Leontief form

    developed by Diewert (1971). As argued by Dumont (2006), the Generalized Leontief has good

    regularity properties when the true elasticities of input substitution are near zero, while translog

    is more appropriate when all elasticities of substitution are near one. Both the translog and

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    Generalized Leontief models are based upon Taylor series expansions. The various minflex

    Laurent models developed by Barnett (1985) and Barnett, Lee, and Wolfe (1985) are based upon

    the Laurent series expansion. Although a Taylor series expansion of some order can produce a

    smaller remainder term than any other expansion series, this property need not hold for finite

    orders of expansion, such as third order or less as would be required in empirical work in

    economics and finance. Similarly, large orders of expansion, or many expansion terms may be

    needed to accurately model data using a Fourier or a Muntz-Szatz expansion. For a second order

    expansion series, which is most common in the literature, a Laurent expansion will generally

    provide a smaller remainder term than a Taylor series expansion, at the cost of only adding a few

    regression parameters. The regular region also will generally be larger than for functional forms

    approximated by the taylor series expansion. The minflex Laurent functional form is a simplified

    version of the complete Laurent expansion that can be used to encompass both the translog and

    Generalized Leontief functional forms. The minflex Laurent-translog is estimated in logarithms

    just like translog. The minflex larent-Generalized Leontief is an expansion in the square roots of

    prices and other factors, just like the original Generalized Leontief functional form.

    For our data set the minflex Laurent-translog generalization of the translog cost function of

    equation (2) is expressed by

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    3 2 2 2 3 2

    0

    1 1 1 1 1 1

    1ln ln ln ln ln ln ln

    2i i n n nm n m in i n

    i n n m i n

    C p y y y p y

    3 2

    1 1

    ln ln ln ln ln ln ln E EE Ei i Ei ni n

    E E E E p E y

    3 3 3 2 3

    1 1 1 1 1

    1 1 1 1

    2 ln ln ln ln ln lnij in Ei

    i j i n ii j i n i

    b c d u p p p y E p

    . (9)

    The share equations are represented by

    3 2 3 2

    1 1 1 1 1 1 1 1 1

    1 1 1 1

    ln ln ln ln ln ln j j n n E j j n n E j n j n

    s p y E b p c y d E

    (10)

    3 2 3 2

    2 2 2 2 2 2 2 2 2

    1 1 1 1

    ln ln ln ln ln ln j j n n E j j n n E j n j n

    s p y E b p c y d E

    . (11)

    The minflex Laurent-Generalized Leontief cost function is represented by

    C =

    Since share equation form for the Generalized Leontief model is highly nonlinear, both it and the

    minflex Laurent-Generalized Leontief model are estimated using the three factor input quantity

    equations without including the cost equation. The values for the log of the likelihood function

    and the Allen elasticities for all four functional forms are presented in Table 6.

    7. Comparison of Accounting and Economic-Based Profitability MeasuresIn order to compare the economic and accounting based results, we take the efficiency measures

    from equation (5) as measured by cost and profit efficiency using the translog functional form

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    and use these values as the dependent variable in a second stage panel regression of all of the

    accounting variables used in Section 4. Results are shown in Table 7 and can be compared to the

    panel regression results for ROA and ROE in Table 4.

    8. Summary and Conclusion

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    Table 1Description of Data Sample

    Number of banks in sample by country and year, and by region and type

    Panel A: Sample Distribution by Country and Year

    Country Year2000 2001 2002 2003 2004 2005 2006 2007 Totals

    Bahrain 7 7 9 9 9 9 9 0 59

    Egypt 2 3 5 7 7 7 4 0 35

    Jordan 2 3 6 8 8 10 9 0 46

    Kuwait 6 6 6 6 6 6 6 4 46

    Lebanon 1 2 6 8 12 12 11 0 52

    Morocco 0 0 0 0 6 6 5 0 17

    Oman 3 3 4 4 4 4 4 4 30

    Qatar 2 4 5 5 5 4 4 1 30

    Saudi Arabia 7 8 9 10 9 9 8 7 67

    Tunisia 0 0 1 2 2 4 3 0 12

    United Arab Emirates 5 7 12 12 11 11 11 7 76

    Totals 35 43 63 71 79 82 74 23 470

    Panel B: Sample Distribution by Region and by Type of Bank

    2000 2001 2002 2003 2004 2005 2006 2007 Totals

    GCC (Oil) 30 35 45 46 44 43 42 23 308

    Non-GCC (Non-Oil) 5 8 18 25 35 39 32 0 162

    Totals 35 45 63 71 79 82 74 23 470

    Islamic 10 13 16 17 16 15 14 8 109

    Conventional 25 30 47 54 63 67 60 15 361

    Totals 35 45 63 71 79 82 74 23 470

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    Table 2

    Definitions of Variables

    Bank Profitability Ratios

    1. ROA = return on assets = net income / (average?) total assets.2. ROE = return on equity = net income / stockholders equity.3. NIM = net interest margin = (interest incomeincome expense)/ total assets4. NNIM = net noninterest margin = (noninterest incomenoninterest expense)/ total assets

    Bank Internal Characteristics

    5. SIZE = natural log of total assets6. LOANS = loan specialization ratio = total net loans / total assets7. SECUR = security specialization ratio = other interest bearing assets (non-loans)/ total assets8. DEPLIAB = deposit specialization ratio = total deposits/ total liabilities

    Bank Efficiency Measures9. INEFF = inefficiency ratio = operating expenses/ gross income10.OVER = ratio of overhead (depreciation plus other expenses) to total assets11.NIBA = ratio of non-interest bearing assets to total assets, where non-interest bearing assets

    include cash, fixed assets, and amount due

    12.LCI = labor cost to income = personnel expenses/gross incomeBank Risk Measures

    13.RISK = default risk as measured by the debt-equity ratio = long-term debt/total assets14.CRISK = credit risk = loan loss provisions/ net loans15.CAPSTR = capital strength = total equity/ total assets

    External Variables

    16.CGDP = year to year % change in country gross domestic product (GDP) deposits17. INFL = annual country inflation rate in %18.CONC = concentration ratio = ratio of a banks total assets to the total assets of all banks in our

    sample for that country

    19.GCC = dummy variable equal to one if the bank is in a GCC country, zero otherwise20.TYPE = dummy variable equal to one if the bank is Islamic, zero for conventional banks

    ____________________________________________________________________________________

    ???Averages for any variable are the beginning of period value plus the end of period value

    divided by 2. They are defined the same way for both conventional and Islamic banks.

    Net income for Islamic banks is conventional net income before taxes, plus Zakat.

    Interest income and expenses are replaced by commission income and expenses for Islamicbanks. Similarly, investments in Mudaraba, Murabaha, and Musharka are equivalent to loans

    and advances.

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    Table 3

    Descriptive Statistics for the Financial Ratios

    (in %, except for SIZE which is log of total assets)

    t-test for equality of means

    VariableAll

    banksGCC

    Non-

    GCCIslamic

    Convent

    ional

    GCC vs.

    Non-GCC

    Conventional

    vs. Islamic

    ROA 1.92 2.37 1.12 2.77 1.67

    ROE 14.99 17.12 11.19 20.32 13.38

    NIM 2.35 2.51 2.05 2.55 2.28

    NNIM 2.27 2.97 1.03 4.24 1.68

    SIZE 15.64 15.90 15.19 16.59 15.36

    LOANS 46.57 51.19 38.34 50.58 45.35

    SECUR 28.33 26.98 30.34 34.23 26.55

    DEPLIAB 75.52 73.19 79.67 79.66 74.27

    INEFF 22.78 21.49 25.08 22.77 22.78

    OVER 1.19 1.12 1.31 1.14 1.20

    NIBA 25.10 21.84 30.93 15.18 28.10

    LCI 9.94 9.91 10.00 10.37 9.81

    RISK 21.11 22.90 17.93 17.43 22.22

    CRISK 1.48 1.13 2.10 1.13 1.59

    CAPSTR 12.89 14.39 10.23 14.52 12.40

    CGDP 6.02 6.76 4.72 5.44 6.20

    INFL 2.75 2.61 2.99 1.77 3.04

    CONC 16.71 16.90 16.36 11.59 18.25

    DMS 15.40 14.91 16.29 11.40 16.61

    PWR 15.41 14.91 16.30 11.37 16.63

    The t-test for equality of means is based on the mean for GCC minus non-GCC banks and for the

    mean of Islamic minus conventional banks for each financial ratio. The test is calculated

    assuming unequal sample variances.

    * denotes significance at the 10% level

    ** denotes significance at the 5% level

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    Table 4

    Panel Regressions for the Determinants of Profitability Ratios(t-statistics are in parenthesis below each coefficient)

    Independent Variable Profitability ratio

    ROA ROE NIM NNIM

    SIZE 0.006

    (2.32)

    LOANS 0.012 0.072 0.016 -0.064

    (3.00) (3.27) (4.87) (-2.54)

    SECUR -0.102

    (-3.94)

    DEPLIAB 0.014

    (5.87)

    INEFF -0.014 -0.167 -0.104 -0.159(-2.15) (-4.14) (-13.86) (-6.21)

    OVER 0.169 1.388 0.999

    (2.93) (3.91) (18.55)

    LCI 0.094

    (6.41)

    CRISK 0.034

    (1.89)

    CAPSTR 0.119 0.040 0.147

    (12.29) (5.29) (3.16)

    INFL 0.0001 0.004

    (4.56) (3.12)

    CONC -0.042(-2.92)

    GCC (1=GCC) 0.012 0.034

    (3.60) (2.94)

    TYPE (1=Islamic) 0.006 0.040 -0.005 0.033

    (2.81) (3.56) (-2.97) (4.25)

    Constant(s) Multiple .002 Multiple 0.091

    (0.05) (4.61)

    Hausman statistic 19.12 11.31 21.63 6.99

    significance (.008) (.185) (.006) (.221)

    Model selected Fixed Random Fixed Random

    F statistic 8.78 6.76 16.46 2.28Significance (.000) (.000) (.000) (.000)

    Adjusted R2

    51.88% 44.39% 68.52% 14.64%

    (All variables are significant at 5%, except for the coefficient on CRISK in the NIM regression. It is

    significant at 6% level. The adjusted R2 and F statistics for the random effects model are not reported in

    RATS 7.0, so approximate values are reported using the fixed effects estimator.)

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    Table 5

    Maximum Likelihood estimates of the translog cost and alternative profit functions

    Regressors Cost Function Profit Function

    Parameter Variable Coefficient t-statistic Coefficient t-statistic

    0 constant 2.655 2.36 25.258 8.901 ln p1 0.521 8.37 0.511 7.352 ln p2 0.150 3.88 0.178 4.4411 ln p1 ln p1 0.106 8.86 0.058 4.6912 ln p1 ln p2 -0.069 -8.88 -0.017 4.64

    22 ln p2 ln p2 0.078 9.18 0.020 2.22

    1 ln y1 0.551 3.20 -0.344 -0.792 ln y2 0.427 2.32 0.041 0.08

    11 ln y1 ln y1 0.202 4.10 -0.167 -1.8612 ln y1 ln y2 -0.111 -3.52 -0.147 -2.54

    22 ln y2 ln y2 0.010 6.57 0.018 0.66

    11 ln p1 ln y1 -0.019 -1.58 -0.018 -1.5721 ln p2 ln y1 -0.019 -2.54 -0.019 -2.57

    12 ln p1 ln y2 0.055 7.30 0.060 8.36

    22 ln p2 ln y2 -0.023 -4.96 -0.022 -5.26

    E ln E -0.590 -1.83 -2.353 -9.43EE ln E ln E 0.130 1.23 -0.317 -1.84

    E1 ln E ln y1 -0.102 -1.43 0.360 2.87

    E2 ln E ln y2 0.015 0.48 0.140 2.15

    E1 ln E ln p1 -0.382 -2.81 -0.042 -2.94

    E2 ln E ln p2 0.051 5.66 0.047 5.13

    LLF = 485.73 LLF = 206.29