-1- DEREGULATION, BANK COMPETITION, AND REGIONAL GROWTH Santiago Carbó Valverde* Departamento de Economía Aplicada Universidad de Granada Granada, Spain David B. Humphrey Department of Finance Florida State University Tallahassee, FL U.S.A. Francisco Rodríguez Fernández Departamento de Economía Aplicada Universidad de Granada Granada, Spain * Corresponding author: Santiago Carbó Valverde Area de Fundamentos del Análisis Económico Departamento de Economía Aplicada Facultad de CC. EE. y Empresariales UNIVERSIDAD DE GRANADA Campus de Cartuja s/n E-18071 GRANADA SPAIN Tel: 34 958 24 37 17 Fax: 34 958 24 40 46 e-mail: scarbo@ugr.es -2- ABSTRACT: Cross-country studies suggest that countries with greater financial sector competition have higher rates of economic growth. However, it is difficult to “hold constant” different legal and cultural environments in these analysis, leading some to suggest that this relationship is due less to competition than to differing legal and cultural conditions which favor economic growth. As these differences are small within a country, an interregional analysis may reflect better the relationship between financial market competition and growth. We study five large regions in Spain over 1986-1998. Using different indicators of market competition, financial sector deregulation has improved regional competition. However, using Grangercausality tests, greater competition is not also associated with improved regional growth. Although deregulation raised deposit rates and lowered loan rates, these benefits have not also markedly influenced regional growth. The positive relationship shown between competitive markets and growth in cross-country studies may instead be due to some unspecified third factor that influences both. JEL: G12, R51, R11 KEY WORDS: deregulation, market competition, regional growth, Granger-causality. -3DEREGULATION, BANK COMPETITION, AND REGIONAL GROWTH 1. Introduction. The pace of regional or national economic growth is influenced by the ability of financial firms to mobilize domestic savings and intermediate these funds into loans to businesses who turn them into productive capital. An expected corollary to this proposition has been that competitive financial markets would improve this intermediation process. In competitive markets, banks pay a higher return on savings (increasing their level) and reduce the cost of loans (generating more loans and productive capital investment). For some time now international organizations (the World Bank, International Monetary Fund)1i have directly and indirectly encouraged countries to improve the efficiency and competitiveness of their financial sectors in order to promote savings, capital formation, and economic growth. Support for these efforts has also come from cross-country studies which suggest that countries with efficient and competitive financial markets also experience higher rates of economic growth. Of necessity, this relationship has typically been assumed to be independent of differences in legal structures and cultural environments across countries (as these differences are difficult to specify accurately). However, a country’s legal structure (property rights, contract enforcement), economic history (past inflation, bank failures), and cultural environment (corruption, rule of law) can have a powerful influence on the effectiveness of the financial sector in facilitating economic growth. Indeed, these influences may play a more important role than competition in promoting growth. Since legal and cultural environments are much more homogeneous among regions within a single country, an interregional analysis may reflect better the underlying relationship between competition and economic growth than one using a cross-country framework. As well, one of the arguments for financial market deregulation in a country has been to expand access to capital for smaller businesses. These firms are often innovators in addition to their role in contributing to regional employment and output expansion (BERGER, et al., 1997). Finally, results of a regional analysis of competition and economic growth can be viewed as an indirect test of the apparent importance of financial sector competition found in cross-country studies. In what follows, we briefly summarize in Section 2 the cross-country analyses of competition and economic growth as well as previous studies of financial sector competition in Europe. In Section 3, direct and indirect indicators of regional and national financial sector competition are presented. These measures focus on market competition among savings and -4commercial banks in five regions in Spain. On average, these institutions account for 93% of banking industry assets over 1986-1998. An indirect indicator of market competition -a Herfindahl-Hirschman Index of market concentration- is similar to the simple market share measures used in cross-country studies and suggests that competition increased following deregulation in Spain. However, this indirect indicator is not very predictive. Regional changes in market concentration were not significantly related to regional changes in loan and deposit prices nor to regional mark-ups of asset price over average cost (except in one case). These two price measures (using individual bank data) directly indicate realized competitive behavior and, in both cases, show that competition increased after deregulation. A Lerner Index (based on estimating marginal cost) supported this conclusion as did a Panzar-Rosse H-statistic (based on estimating revenue elasticities to changes in factor costs). In Section 4, Granger-causality tests of the relationship between improved financial sector competition and regional economic performance over 1986-1998 are presented. These results indicate that, although financial sector competition seemingly improved in Spain after deregulation, this improvement has apparently not played an important role in the concurrent expansion of regional GDP over the same period. Although savers earned higher returns and borrowers paid lower rates, these expected and desired benefits from deregulation apparently were not very stimulative of regional economic growth. As noted in the conclusion in Section 5, perhaps much larger changes in returns to savers and costs to borrowers would play a more significant role in promoting economic growth. Alternatively, it is possible that by not being able to accurately ‘hold constant’ differences in legal and cultural environments in cross-country studies of competition and growth these studies have overstated the strength of the relationship they measure. In this respect our regional results offer support to a recent re-analysis of the earlier cross-country studies (LEVINE, et al., 2000). 2. Studies of Financial Sector Competition and Economic Growth. Prompted in part by the break-up of the Soviet Union, there has been an increased interest in how the size, efficiency, and competitive structure of a country’s financial sector (as well as its legal underpinnings) may affect the real sector and associated economic growth. Numerous cross-country studies have found strong evidence of a relationship (and apparent causality) between the size and operation of financial markets and/or the development and structure of the banking sector and economic growth (KING and LEVINE,1993; LEVINE and ZERVOS,1998; RAJAN and ZINGALES, 1999; and CETORELLI and GAMBERA, 2001). An important concern has been how differences in banking market competition may hinder or promote economic growth (PETERSEN and RAJAN, 1995; JAYARATNE and STRAHAN, 1996; -5CETORELLI and GAMBERA, 2001). In sum, more competitive banking markets provide easier access to credit at lower costs that, in turn, can lead to more borrowing by a broader range of firms which promotes economic growth. A complicating factor is that legal and cultural environments also differ between countries (LEVINE et al., 2000). One way to hold these influences constant, and thus more accurately identify the relationship between financial sector competition and economic growth, is to determine how changes in competition are related to economic growth in a regional framework within a single country. In the U.S., there have been many studies of how interregional differences in banking competition may affect bank prices and profitability, finding that more competition can lower prices but has a mixed and usually insignificant effect on profits (HANNAN, 1991; BERGER, 1995). In Europe, the focus has been on determining differences in banking competition among countries or how, at the national level within a country, competition has changed over time (VESALA, 1995; BERG and KIM, 1996; DE BANDT and DAVIS, 2000). These studies find more support for competition to affect prices and profits, likely because European markets have more and greater barriers to competition than does the U.S. While a few European studies have considered the regional nature of financial market competition (PITA BARROS, 1999, for Portugal and FUENTELSAZ, 1996, and MAUDOS, 1998, for Spain), these do not focus on the relationship between regional market competition and regional economic growth (which is the explicit purpose of this paper). 3. Measures of Regional Financial Market Competition. 3.1 Market Concentration as an Indicator of Market Competition. The standard method used to infer financial market competition comes from the structure, conduct, performance (SCP) paradigm which presumes (based on earlier cross-industry studies) that less concentrated markets are likely to be more competitive. The cross-country studies of competition and growth referred to above infer competitive behavior from the sum of the deposit (or loan or asset) market shares of the 3 largest banks, or the 5 largest banks, or use a Herfindahl-Hirschman Index (HHI).2iiThese three measures are typically highly correlated and thus yield very similar results. The benefit of the HHI measure is that it falls when market shares are more equal, suggesting a more competitive market when participants are of a similar size. Unlike the U.S., information on the value of deposits, loans, or assets by local banking office in various regions are not publicly available in most European countries including Spain. Thus past studies of market concentration in Europe have instead used the regional distribution of branch offices (which is known) to compute a Herfindahl-Hirschman Index of market concentration. A -6bank having 40% of branches in a market is presumed to also hold a 40% deposit market share. This assumes that the average value of deposits (or loans) per branch office of a bank: (1) is the same for all branch offices of the same bank; (2) is the same for all branches at all banks; and (3) is the same over time. Assumption (1) says that the value of deposits (or loans) at each branch office of a given bank can be approximated by the ratio of the bank’s total deposits (or loans) to its total number of branch offices. Although data limitations preclude us from doing anything about this assumption, we can do something about the other two. Specifically, we compute the average value of deposits (or loans) per branch office separately for each bank and separately for each year. This permits the average value of deposits (loans) per office to vary across banks and over time, removing assumptions (2) and (3), and is less restrictive than only computing branch-determined HHIs (as done previously by FUENTELSAZ, 1996, and MAUDOS, 1998).3 The time pattern of savings and commercial bank market concentration in Spain over 1986-1998 differed little between regional deposit or loan HHIs. As depositors typically have less market power than borrowers, we report only the HHIs computed using the average value of deposits per bank office -a deposit HHI (DHHI).4 The time pattern of the deposit HHI (DHHI) for each of the five regions is shown in Figure 1. As seen, all but one region experienced a reduction in concentration over 1986-1998. Concentration fell by 8% to 21% in four regions while in one region (North) it rose by 11%. Over all regions, the deposit HHI fell from around 2,540 in 1986 to around 2,470 in 1998. The reduction in concentration suggests that banking market competition may have increased over this time period. 3.2 A Measure of Realized Competition: The Loan-Deposit Rate Spread. According to the structure, conduct, performance (SCP) paradigm, reductions in market concentration should be associated with reductions in loan rates and/or increases in deposit rates. Indeed, average loan rates fell and deposit rates rose in Spain after deregulation (which occurred in 1989). As a result, the loan-deposit rate spread fell by 37% between 1986 and 1998 strongly suggesting an increase in financial market competition.5 This reduction is shown for five regions in Figure 2. Across all regions, the rate spread fell from 639 basis points (BP) in 1986 down to 400 BP in 1998. The spread fell in each region with reductions ranging from 27% (Nationwide) to 44% (North). Interestingly, the region with the greatest reduction in the rate spread (North) was also the only region that experienced a rise in its measure of market concentration (11%). If there was a strong relationship between the change in market concentration (DHHI) and the observed loan-deposit rate spread (SPREAD), then either indicator of market competition could be used to assess the relationship between financial market competition and -7regional economic growth. However, regressing the observed loan-deposit rate spread for each bank (SPREAD) on the computed deposit Herfindahl-Hirschman Index (DHHI), along with other explanatory variables, indicated that market concentration was not significantly associated with the rate spread either for all regions pooled together or for any of the five regions separately. These results are shown in Table 1. The unbalanced panel (unbalanced due to mergers) covered 106 to 78 savings and commercial banks at annual intervals over 1986-1998 (n = 1,150). Four other variables -reflecting service efficiency, asset risk, loan demand, and regional inflation- which can affect the loan-deposit rate spread (SPREAD) in addition to market competition (DHHI), were specified in Table 1.6 A fixed effect model was used to allow for bankspecific effects not otherwise specified. Similar results were found when the same set of independent variables in the same model were regressed on a different bank-specific dependent variable the mark-up of asset price over average cost (PTA - ACTA).7 In this case (not shown), only in one region (East & Northeast) was market concentration related to the mark-up over average cost. The weakness in the relationship between market structure (DHHI) and market conduct (SPREAD) shown in Table 1 suggests two conclusions. First, our test of the effect of financial market competition on regional economic growth should focus on the realized loan-deposit rate spread as the preferred indicator of competition. Second, our regression results imply that market concentration measures (such as HHI) used in cross-country studies may not strongly reflect the expected market conduct/pricing response posited by the SCP paradigm. If lower financial market concentration is insignificantly associated with more favourable loan and deposit pricing, it is hard to see how lower concentration could be (other than spuriously) associated with greater economic growth. 3.3 Two General Indicators of Competition. The deposit HHI measure of market concentration and the loan-deposit rate spread are both bank-specific. That is, each of these measures can be computed/observed for each bank in each region which, in turn, can be related to a regional measure of economic growth. Two additional indicators of market competition -the mark-up of price over marginal cost (the numerator of the Lerner Index) and the H-statistic- have to be econometrically estimated and thus are not bank-specific. While they can usefully indicate how competition may have changed over a period of years for a group of banks, the results should not be used to see if competition Granger-causes economic growth as observed, bank-specific data contain less error. -8The mark-up of price (P) over marginal cost (MC) is similar to the loan-deposit rate spread but is more comprehensive: it includes all assets (loans plus securities) and all costs (deposit funding and operating expenses). Standard procedure (Bresnahan, 1989) is to jointly estimate both a cost function (to determine marginal cost) and a demand function (to determine marginal revenue and price), assume that profit maximizing banks set marginal revenue to marginal cost, and solve for the associated price, marginal cost, and quantity from which an average mark-up can be obtained for a group of regional institutions. This has been done for five regions in Italy (ANGELLINI and CETORELLI, 1999) with the result that over time the estimated mark up closely follows the spread between average asset price (PTA) and the average cost of deposits (interest paid on deposits/total asset value).8 As data needed to estimate the demand for banking services in Spain is wanting, we instead used the observed average asset price of banks in each region (PTA) and the estimated marginal cost of assets (MCTA) for all banks in each region. MCTA was estimated from a standard, single output, translog cost function.9 Four of the five regions in Spain experienced a reduction in their mark-up (PTA - MCTA) between 1986-1989 (the period before the wave of banking mergers) and 1994-1998 (the period after the wave of mergers). The average reduction over all five regions was 18% while the regional changes ranged from +8% to -36%. In contrast, averaged over the same pre- and post-merger subperiods, the loan-deposit rate spread fell in all five regions with an overall reduction of 33% (the range was -23% to -34%).10 An alternative general indicator of the degree of market competition which requires estimation is the PANZAR and ROSSE (1987) H-statistic. The H-statistic measures the extent to which changes in banking costs are reflected in changes in banking revenues. The equation estimated relates total revenue (TR) to three components of unit cost, a measure of output capacity (total assets), and indicators of business mix.11 The derivative TR/unit cost is the H-statistic. H can be negative or zero, as when revenues rise but costs fall or are constant (suggesting monopoly power). When revenue changes are less than cost changes, H is positive but < 1.0 (monopolistic competition) while revenue changes equal to cost changes give H = 1.0 (perfect competition). The closer H is to 1.0, the larger is the effect of a change in unit cost on revenues and hence output price, suggesting greater market competition as price is more responsive to costs.12 Over the entire period for all regions, H = .89 (standard error .010) suggesting weak monopolistic competition in Spain’s financial sector as H is significantly different from both 0.0 and 1.0. -9This result also held for all but one region (where H was not different from 1.0, suggesting perfect competition). To summarize, all of the indicators of banking market competition -the deposit HHI, the loan-deposit rate spread, the mark-up of price over marginal cost, and the H-statisticsupport in varying degrees a conclusion that all or most regional banking markets became more competitive in Spain after deregulation. We now relate changes in financial market competition to regional economic growth. The Granger-causality tests we use require annual measures of market competition. This means that the mark-up of price over marginal cost and the H-statistic results can not be used as there are too few observations to estimate these values annually. This is not a problem for the deposit HHI measure, the loan-deposit rate spread, or even the mark-up of price over average cost (PTA - ACTA) since these are observed, bank-specific measures. The regional time pattern of this last variable is shown in Figure 3. Across all regions, the mark-up over average cost was 174 BP in 1986 but fell to 169 BP in 1998, a reduction of 3%.13 The relationship between our three bank-specific measures of market competition (using data for all regions together) indicate that the deposit HHI is insignificantly related to either the loan-deposit rate spread or the mark-up of price over average cost. In contrast, the rate spread and the mark-up are significantly related (although the R2 is low). Thus, although all three bank-specific measures indicate that competition has improved, they are not strongly related to each other. 4. Does Greater Financial Market Competition Promote Regional Economic Growth? Proponents of financial market deregulation argue that it can improve competition, raise deposit rates (expanding the supply of loanable funds) and lower loan rates (promoting investment in productive capital). While these price changes from increased competition are well-accepted and observed in Spain, a question remains as to whether the price changes are strong enough to have a significant stimulative effect on regional economic growth. Or, as some have suggested (GREENWOOD and JOVANOVIC, 1990), could it be the other way around? Does more rapid economic growth stimulate the development of financial markets, inducing new entry, innovation, and efficiency, and make markets more competitive? causality tests. This issue is addressed with a series of Granger- -10To conclude that expanded market competition can promote or ‘cause’ regional economic growth, two conditions have to be met (PINDYCK and RUBINFELD, 1991). First, in a time-series regression of current regional economic growth (RGDPt) on lagged values of economic growth (RGDPt-1, RGDPt-2, etc.) the addition of lagged values of market competition (say SPREADt-1, SPREADt-2, etc.) should significantly improve the explanatory power of the regression.14 An F-test using the following two regressions is used to determine if the added independent variables (as the sum Σγi) are significant: RGDPt = αo + Σβi RGDPt-i RGDPt = αo + Σβi RGDPt-i + Σγi SPREADt-i . Second, in a time-series regression of an indicator of current market competition on lagged values of market competition, the addition of lagged values of economic growth should not significantly improve the explanatory power of the regression. In the two equations below, an F-test of the sum Σβi should not be significant. SPREADt = αo + Σγi SPREADt-i SPREADt = αo + Σγi SPREADt-i + Σβi RGDPt-i . If, instead, the situation is reversed -so that the Σγi in the first set of equations is not significant while in the second set Σβi is significant- then regional growth Granger-causes competition.15 Finally, if the added independent variables in both sets of regressions are significant, then it is likely that some unspecified third influence is causing both competition and growth. There is no guide as to the number of lags to use in the analysis so we report results with one, two, and three-period lags (i = 1, 2, or 3). Three measures of market competition are used: deposit HHI market concentration (DHHI), the loan-deposit rate spread (SPREAD), the mark-up of asset price over average cost (PTA - ACTA). Importantly, the time-series data used in the above regressions should be stationary for the F-tests to be valid. Augmented Dickey-Fuller tests were used to check for the existence of unit roots. First differencing all the variables was sufficient to meet the stationarity requirement. The results of the Granger-causality tests using first differenced data (for either direction of causation) over 1986-1998 are shown in Table 2. Although, in previous crosscountry studies, market concentration has been found to affect economic growth (CETORELLI and GAMBERA, 2001), this result is not evident using regional data for Spain. This is not surprising given the very weak relationship between market concentration (DHHI) and loan and deposit prices (SPREAD) reported above. That is, it is difficult to see how changes in concentration that are essentially unrelated to price -11changes can stimulate regional growth. But even using observed changes in banking prices (SPREAD), which indicate realized competition, yields the same result: reductions in the loan-deposit rate spread do not Granger-cause regional economic growth. Finally, the mark-up of asset price over average cost (PTA - ACTA) also does not Granger-cause regional growth. Thus, at least for Spain, financial market deregulation which promotes market competition does not appear to have had a strong stimulative effect on regional growth.16 As deregulation in Spain had a greater impact on savings bank merger behaviour and expansion than it did for commercial banks, additional causality tests were undertaken separately with these institutions. Two periods were examined: 1986-1993 which covers the period prior to and during the wave of mergers which followed deregulation in 1989 and 1994-1998 which covers the post-merger adjustment period. These additional tests (not shown) reinforced the conclusion that market competition does not Granger-cause regional growth. They also indicated that the causality seen moving from economic growth to market competition with the SPREAD variable was limited to the time period during which market shares were strongly contested during the wave of mergers induced by deregulation. After the merger wave, savings banks slowed their rapid expansion and adjusted to the new market structure. Thus the causality identified where growth causes competition for one measure of competition over the entire period was apparently temporary and restricted to the earlier 1986-1993 period concurrent with the merger wave. 5. Conclusions. This paper has three purposes. First, since antitrust authorities believe that a competitive financial sector confers benefits on users of financial services, we wanted to document and analyze the effect that financial market deregulation may have had on different national and regional measures of market competition and banking sector prices in Spain. Second, given the emphasis of international agencies on promoting national financial sector development and competition to permit more rapid national economic growth, we wanted to determine if the greater financial market competition experienced by Spain over 1986-1998 was strong enough to have had a significant effect on regional economic expansion. A third purpose, related to the second, was to see if a regional analysis of the relationship between market competition and regional growth would (or would not) support recent cross-country analyses suggesting that a competitive financial -12sector can promote economic expansion. A regional test of this proposition is preferred over a cross-country analysis. Other factors known to markedly differ across countries such as legal structure (property rights, contract enforcement) and cultural environment (corruption, rule of law)- are much more homogeneous in a regional framework so these (typically unspecified) influences on growth are effectively ‘held constant’ in a regional analysis. Our analysis showed that banking sector deregulation in Spain in 1989 was associated with greater financial market competition. Although differing in magnitude, measures of banking market concentration (a Herfindahl-Hirschman Index), a loan-deposit rate spread, the mark-up of price over marginal (or average) cost, or a Panzar-Rosse Hstatistic all showed some improvement in market competition. However, although the structure, conduct, performance (SCP) paradigm posits that decreases in market concentration should lead to increased competition and thus more favourable prices for users of financial services, this relationship was essentially zero for Spain. Although prices were indeed more favourable, their changes were not significantly related to changes in market concentration. This suggests that the commonly used Herfindahl-Hirschman Index is not a very reliable metric for assessing market pricing conduct and antitrust authorities would benefit by augmenting their analyses with direct measures of realized competition (such as actual prices) rather than rely on inferences from the SCP paradigm. Granger-causality tests were performed to see if the greater financial market competition experienced by Spain over 1986-1998 was strong enough to have had a significant effect on regional economic expansion. All the tests indicated that increased competition was not a significant influence on regional growth. Although deregulation was associated with increased market competition (both inferred and realized) and market prices became more favourable to users of financial services, these improvements have apparently not played an important role in the concurrent expansion of regional GDP. Our regional tests of the relationship between financial sector competition and economic growth are at odds with recent cross-country analysis which find a significant relationship. As a regional analysis can ‘hold constant’ differences in legal and cultural environments that are difficult to accurately specify across countries, our results offer support to a recent re-analysis of earlier cross-country studies which suggests that such legal and cultural differences play an important role in explaining economic growth (LEVINE et al., 2000). -13References ANGELINI, P. and CETORELLI, N. 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PETERSEN, M. A. and RAJAN, R. J. (1995), The effect of credit market competition on lending relationships, Quarterly Journal of Economics, 110, pp. 407-443. PINDYCK, R. S. and RUBINFELD, D. L. (1991), Econometric Models and Economic Forecasts, McGraw Hill, New York, third edition. PITA BARROS, P. (1999), Multimarket competition in banking, with an example from the Portuguese market, International Journal of Industrial Organisation, 17, pp.335-352. RAJAN, R. G. and ZINGALES, L. (1999), The politics of financial development, Working paper, University of Chicago. TIROLE, J. (1987), The Theory of Industrial Organization, MIT Press, Cambridge, MA. VESALA, J. (1995), Testing competition in banking: Behavioural evidence from Finland. Bank of Finland studies, E:1, Helsinki. ENDNOTES 1. See, for example, LINDGREN, et al. (2000) and CLAESSENS and GLAESSNER (1997). 2.The HHI measure is the sum of the squares of each bank’s market share for all banks in a market or HHIm = Σ(ms i)2 where ms is the market share of the ith bank in the mth market. A market share of 40% is expressed as 402, not .402. A merger that gives a HHI > 1,800 is considered uncompetitive in the U.S.. 3. Specifically, DHHIm,t = Σ(msi,t)2 where msi,t = [(depositsi /officesi )t * officesi,m]/ Σ[(depositsj /officesj )t * officesj,m] i,j,t for the mth market containing the i,j banks during year t (ms can differ across banks and over time). 4. In terms of market area, five regions are identified: (1) Nationwide with 24 very large institutions who operate in all regions (reduced through mergers to 23 by 1998); (2) South with 16 banks (reduced to 7 through mergers); (3) Center & Northwest with 24 (reduced to 16); (4) East & Northeast with 29 (reduced to 22); and (5) North with 13 (reduced to 10). The smallest institutions remain in one region but medium-sized and large banks compete in their own region and in regions nearby. In 1986, there were 106 institutions (77 savings banks and 29 commercial banks). By 1998, there were 78 (50 savings and 28 commercial). A list of these institutions and their allocation to the five regions is available on request. 5. The average loan rate (rL) is the ratio of loan revenues to the value of loans while the average deposit rate (rD) is the ratio of deposit interest expenses to the value of deposits. Thus the loandeposit rate spread (SPREAD) is rL - rD for each bank over time. Any change in market interest rates will, of course, influence both the level of r L and rD so the spread itself will reflect competitive conditions that determine their difference. -15- 6. These variables are defined in Table 1. Even when these four variables were excluded, so SPREAD was regressed on only DHHI, the relationship was still insignificant. 7. PTA equals revenues from loans, securities, and other earning assets, plus fee income all divided by the value of loans, securities, and other earning assets, essentially a unit revenue (or price) measure. ACTA is the ratio of total operating and interest cost to total assets. 8. The average cost of deposits used in this referenced study is less than the average cost of assets (ACTC), which is the variable used in the previous section. 9. Total cost was specified to be a translog function of three input prices (labor, funding, physical capital) and an output indicator (total assets). Previous analyses have shown that the translog and Fourier functional forms yield very similar cost predictions when evaluated using mean values of the independent variables (which is how the translog results are used here). 10. The results of the translog estimation and separate information on price and marginal cost are available from the authors by request. 11. We followed the H-statistic model specification shown in DE BANDT and DAVIS (2000). 12. As total cost is less than total revenue, the different bases need not yield H = 1.0 in percentage terms, which is the DE BANDT and DAVIS (2000) specification as logs of the variables were used. When the elasticity of demand for banking output is constant, there is (in theory, and when variables are measured properly) a one-to-one relationship between the H-statistic and the Lerner Index (TIROLE, 1987). 13. In four regions, this mark-up fell by 2% to 28% from 1986 to 1998 but rose by 15% in one region (South). 14. The regional GDP economic growth measure (RGDP) is computed for each bank as a branch weighted average of the GDP for the regions where the bank operates. 15. A referee has noted that this can occur when banks expand and compete for market share in faster growing and more prosperous regions. Banks know that customers -once they establish a relationship with an institution- are more likely to continue with the same institution over time than switch to a competitor making it important to attract new customers in expanding markets. 16. The only support for economic growth causing changes in market competition occurs with the SPREAD variable. As seen in Table 2, this occurs when the data are lagged for 2 and 3 periods. -16- Table 1. The effect of concentration on the loan-deposit rate spread Panel data---fixed effects model Dependent variable = SPREAD t values in parenthesis All regions Nationwide DHHI 0.093366 0.094881 (0.78) (0.40) DEPBR -0.0000036*** -0.0000025* (-2.95) (-1.61) LOSSRAT -0.019594 0.895891** (-0.92) (1.99) RGDP -0.032964 -0.092562 (-0.67) (-0.96) RCOL -0.058436*** -0.06443 (-8.64) (-0.42) Adjusted R2 0.78 0.67 n. observations 1150 304 *** Significantly different from zero at 1 per cent level ** Significantly different from zero at 5 per cent level * Significantly different from zero at 10 per cent level Center and Northwest 2.51101** (1.69) 0.0000038 (0.24) 0.308107 (0.88) -0.007369 (-0.05) -0.107876*** (-3.43) 0.73 244 South -2.09131** (-1.73) -0.0000089 (-0.37) 0.190782 (0.76) 0.025409 (1.07) -0.03619* (-1.35) 0.38 140 East and Northeast 0.012982 (0.23) -0.0000024** (-1.89) -0.019583 (-1.11) 0.061372 (1.13) -0.079739*** (-7.42) 0.86 320 North 0.098135 (0.75) -0.0000027** (-2.05) -0.049397 (-0.12) -0.07277 (-0.53) -0.047032** (-2.56) 0.80 142 SPREAD = loan-deposit rate spread (average loan rate – average rate on deposits and other funding) DHHI = deposit Herfindhal-Hirschman Index (market concentration measure) DEPBR = deposit/branch office ratio (a service efficiency measure) LOSSRAT = loan losses/total asset ratio (asset risk measure) RGDP = regional GDP (loan demand indicator) RCOL = regional cost-of-living index (inflation measure) Table 2. Regional bank competition and regional economic growth: Granger-causality test results No No No DHHI Granger-causes RGDP Number of lags 1 2 3 F-statistic 0.17 0.07 0.87 No No No SPREAD Granger-causes RGDP Number of lags F-statistic 1 0.03 2 0.28 3 0.07 No No No PTA-ACTA Granger-causes RGDP Number of lags F-statistic 1 0.12 2 0.13 3 1.01 No No No RGDP Granger-causes DHHI Number of lags 1 2 3 F-statistic 0.42 0.01 0.01 No Yes Yes RGDP Granger-causes SPREAD Number of lags F-statistic 1 2.23 2 7.85 3 5.75 No No No RGDP Granger-causes PTA-ACTA Number of lags F-statistic 1 0.19 2 0.28 3 0.61 ______________________________________________________________________________ Augmented Dickey-Fuller (ADF) unit root tests for first-differenced data Variable Test statistic RGDP DHHI SPREAD -31.05 -27.47 -16.81 Critical values for rejection of hypothesis of a unit root: PTA-ACTA -18.50 1% critical value -3.4965 5% critical value -2.8903 10% critical value -2.5819 -17- Figure 1: Bank Market Concentration (DHHI) by region in Spain 6000 Deposit HHI value (DHHI) 5000 4000 3000 2000 1000 0 1986 1987 1988 Nationwide 1989 1990 South 1991 1992 Year 1993 Center & Northwest 1994 1995 1996 1997 East & Northeast 1998 North Figure 2: Loan-Deposit Rate Spread (SPREAD) by region in Spain (1986-1998) 1000 900 Loan-Deposit Rate Spread (SPREAD) 800 700 600 500 400 300 200 100 0 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 Year Nationwide South Center & Northwest East & Northeast North -18- Figure 3: Mark-Up of Price over Average Cost (Mark-Up) by region in Spain (1986-1998) Mark-Up of Price Over Average Cost (Mark-Up) 300 250 200 150 100 50 0 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 Year Nationwide South Center & Northwest East & Northeast North