<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD JATS (Z39.96) Journal Publishing DTD v1.2 20190208//EN" "http://jats.nlm.nih.gov/publishing/1.2/JATS-journalpublishing1.dtd">
<article xmlns:xlink="http://www.w3.org/1999/xlink" article-type="research-article" dtd-version="1.2" xml:lang="en">
  <front>
    <journal-meta>
      <journal-id journal-id-type="publisher-id">ijbf</journal-id>
      <journal-title-group>
        <journal-title>International Journal of Banking and Finance</journal-title>
        <abbrev-journal-title abbrev-type="publisher">IJBF</abbrev-journal-title>
      </journal-title-group>
      <issn pub-type="ppub">2811-3799</issn>
      <issn pub-type="epub">2590-423X</issn>
      <publisher><publisher-name>UUM PRESS</publisher-name></publisher>
    </journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.32890/ijbf2008.5.2.8</article-id>
      <article-id pub-id-type="publisher-id">6846</article-id>
      <article-categories><subj-group subj-group-type="heading"><subject>Articles</subject></subj-group></article-categories>
      <title-group>
        <article-title>The Efficiency of Non-Bank Financial Intermediaries: Empirical Evidence from Malaysia</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes">
          <name>
            <surname>Sufian</surname>
            <given-names>Fadzlan</given-names>
          </name>
          <xref ref-type="aff" rid="aff1"/>
          <email>fadzlan14@gmail.com</email>
        </contrib>
      </contrib-group>
      <aff id="aff1"><institution>The University of Malaysia and CIMB Bank Berhad</institution>, <country country="MY">Malaysia</country></aff>
      <pub-date publication-format="electronic" date-type="pub" iso-8601-date="2008-08-18">
        <day>18</day><month>08</month><year>2008</year>
      </pub-date>
      <volume>5</volume>
      <issue>2</issue>
      <fpage>149</fpage>
      <lpage>167</lpage>
      <permissions>
        <copyright-statement>Copyright &#169; 2020 UUM PRESS</copyright-statement>
        <copyright-year>2020</copyright-year>
        <license license-type="open-access" xlink:href="https://creativecommons.org/licenses/by/4.0">
          <license-p>This is an open access article distributed under the terms of the Creative Commons Attribution 4.0 International License.</license-p>
        </license>
      </permissions>
      <kwd-group kwd-group-type="author">
        <kwd>Non-Bank financial intermediaries</kwd>
        <kwd>Data Envelopment Analysis (DEA)</kwd>
        <kwd>Risk</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec1">
      <label>1</label>
      <title>Introduction</title>
      <p>Non-Bank Financial Institutions (NBFIs) play important dual roles in a ﬁnancial system. They complement the role of commercial banks by ﬁlling in ﬁnancial intermediation gaps by offering a range of products and services. They also compete with commercial banks, forcing the latter to be more efﬁcient and responsive to their customers needs. NBFIs’ state of development is usually a good indicator to the state of development of a country’s ﬁnancial system as a whole. The importance of investigating the efﬁciency and productivity of Malaysian NBFIs could be best justiﬁed by the fact they play important roles in complementing the facilities offered by the commercial banks, as well as being key players in the development of the capital markets. As sophisticated and well-developed as capital markets are considered to be as the hallmark for a market-based economy worldwide, such a study of this nature is particularly important as the health and development of the capital market relies largely upon the performance of NBFIs. Hence, efﬁcient and productive NBFIs are expected to enhance the Malaysian capital markets in its pursuit to move towards a full market based economy.</p>
      <p>Despite the signiﬁcant, economic developments of the NBFI sector, studies that attempt to investigate this issue are relatively scarce. Over the years, while there have been extensive literature examining the productivity and efﬁciency of banking industries in various countries, empirical works on NBFIs’ productivity &amp; efﬁciency are still in its infancy. To the best of our knowledge, there has been no microeconomic study performed with respect to NBFIs. The study therefore aims to ﬁll a demanding gap in that case. Nevertheless, the study will also be the ﬁrst to investigate the sources of NBFIs’ productivity changes in developing economies. Section 2 will provide a brief overview of the Malaysian ﬁnancial system with reviews of related studies. Section 3 will outline the approaches to the measurement and estimation of efﬁciency change, while Section 4 will discuss the results. Naturally, Section 5 will conclude the paper.</p>
    </sec>
    <sec id="sec2">
      <label>2</label>
      <title>Background and Related Literature</title>
      <p>The Malaysian ﬁnancial system can be broadly divided into the banking system and non-bank ﬁnancial intermediaries. The banking system is the largest component, accounting for approximately 70 percent of the ﬁnancial system’s total assets. The banking system can be further divided into three main groups, namely the commercial banks, ﬁnancial companies, and merchant banks. The commercial banks are the main players in the banking system. They are the largest and most signiﬁcant providers of funds in the banking system, enjoying the widest scope of permissible activities, those of which are able to engage in a full range of banking services. Financial companies formed the second largest group of deposit taking institutions in Malaysia. Traditionally, ﬁnancial companies specialize in consumption credit, comprising mainly of hire purchase ﬁnancing, leasing, housing loans, block discounting, and secured personal loans. Merchant banks emerged in the Malaysian banking scene in 1970, marking an important milestone in the development of the ﬁnancial system, alongside Malaysian corporate development. They play a role in the short-term money market and capital raising activities such as ﬁnancing, syndicating, corporate ﬁnancing, and management advisory services that arrange for the issue and listing of shares, as well as managing portfolios. The Malaysian ﬁnancial system’s assets and liabilities continued to be highly concentrated at the commercial banking sector with total assets and liabilities amounting to RM 761,254.8 billion (or 3.05 times the national GDP at the end of 2004). Prior to the Asian Financial Crisis in 1997/98, ﬁnancial companies’ assets and liabilities were seen increasing from only RM531 million (or 0.05 times the national GDP in 1970) to a high of RM 152.4 billion (or 0.77 times in 1997). The ratio however, has gradually declined to RM 123.6 billion (or 0.60 times in 1998) to RM 109,409.8 billion (or 0.52 times the GDP in 2000), before increasing again in year 2001, to reach a post crisis high of RM 141,911.0 billion (or 0.61 times the GDP in 2003). Due to further consolidation in the Malaysian ﬁnancial sector, ﬁnancial companies’ assets as a ratio of the national GDP declined again to reach a low of</p>
      <p>0.27 times in 2004. As for the merchant banks, a similar trend is observed where their assets and liabilities (as a ratio of the national GDP) have been increasing since 1971, reaching a peak of RM 44.3 billion or 0.23 times GDP in 1997 (before the Asian ﬁnancial crisis). During the post crisis period, the merchant banks’ assets and liabilities continued to remain stable at 0.17 to 0.22 times the national GDP. A combination of both ﬁnancial companies and merchant banks’ total assets reveal that the non-bank ﬁnancial sector commanded approximately 22.8 percent of the banking system’s total assets and liabilities.1</p>
      <table-wrap id="tbl1">
        <label>Table 1</label>
        <caption><title>Assets of the Financial System, 1960 – 2004</title></caption>
        <table>
          <thead>
            <tr>
              <th>Year</th>
              <th colspan="2">Commercial Banks</th>
              <th colspan="2">Finance Companies</th>
              <th colspan="2">Merchant Banks</th>
            </tr>
            <tr>
              <th colspan="2"></th>
              <th>As a Ratio</th>
              <th></th>
              <th>As a Ratio</th>
              <th colspan="2">As a Ratio</th>
            </tr>
            <tr>
              <th></th>
              <th>RM million</th>
              <th></th>
              <th>RM million</th>
              <th colspan="2">RM million</th>
              <th></th>
            </tr>
            <tr>
              <th colspan="2"></th>
              <th>of GDP</th>
              <th></th>
              <th>of GDP</th>
              <th>of GDP</th>
              <th></th>
            </tr>
          </thead>
          <tbody>
            <tr>
              <td>1960</td>
              <td>1,231.9</td>
              <td>0.21</td>
              <td>n.a.</td>
              <td>n.a.</td>
              <td>n.a. *</td>
              <td>n.a.</td>
            </tr>
            <tr>
              <td>1970</td>
              <td>4,460.2</td>
              <td>0.38</td>
              <td>531.0</td>
              <td>0.05</td>
              <td>19.6</td>
              <td>0.002</td>
            </tr>
            <tr>
              <td>1980</td>
              <td>32,186.1</td>
              <td>0.63</td>
              <td>5,635.4</td>
              <td>0.13</td>
              <td>2,228.7</td>
              <td>0.05</td>
            </tr>
            <tr>
              <td>1990</td>
              <td>129,284.9</td>
              <td>1.23</td>
              <td>39,448.0</td>
              <td>0.50</td>
              <td>11,063.2</td>
              <td>0.14</td>
            </tr>
            <tr>
              <td>1995</td>
              <td>295,460.0</td>
              <td>1.77</td>
              <td>91,892.0</td>
              <td>0.55</td>
              <td>27,062.0</td>
              <td>0.16</td>
            </tr>
            <tr>
              <td>1996</td>
              <td>360,126.8</td>
              <td>1.98</td>
              <td>119,768.8</td>
              <td>0.65</td>
              <td>34,072.8</td>
              <td>0.19</td>
            </tr>
            <tr>
              <td>1997</td>
              <td>480,248.1</td>
              <td>2.46</td>
              <td>152,386.8</td>
              <td>0.77</td>
              <td>44,300.0</td>
              <td>0.23</td>
            </tr>
            <tr>
              <td>1998</td>
              <td>453,492.0</td>
              <td>2.52</td>
              <td>123,596.9</td>
              <td>0.68</td>
              <td>39,227.8</td>
              <td>0.22</td>
            </tr>
            <tr>
              <td>1999</td>
              <td>482,738.3</td>
              <td>2.50</td>
              <td>116,438.0</td>
              <td>0.60</td>
              <td>39,184.0</td>
              <td>0.20</td>
            </tr>
            <tr>
              <td>2000</td>
              <td>512,714.7</td>
              <td>2.44</td>
              <td>109,409.8</td>
              <td>0.52</td>
              <td>36,876.0</td>
              <td>0.18</td>
            </tr>
            <tr>
              <td>2001</td>
              <td>529,735.5</td>
              <td>2.51</td>
              <td>121,811.1</td>
              <td>0.58</td>
              <td>41,025.2</td>
              <td>0.19</td>
            </tr>
            <tr>
              <td>2002</td>
              <td>563,254.1</td>
              <td>2.56</td>
              <td>130,520.0</td>
              <td>0.59</td>
              <td>41,415.5</td>
              <td>0.19</td>
            </tr>
            <tr>
              <td>2003</td>
              <td>629,975.3</td>
              <td>2.71</td>
              <td>141,911.0</td>
              <td>0.61</td>
              <td>44,103.6</td>
              <td>0.19</td>
            </tr>
            <tr>
              <td>2004</td>
              <td>761,254.8 Source: Bank Negara Malaysia.</td>
              <td>3.05</td>
              <td>68,421.1</td>
              <td>0.27</td>
              <td>42,691.0</td>
              <td>0.17</td>
            </tr>
            <tr>
              <td>*</td>
              <td></td>
              <td></td>
              <td></td>
              <td></td>
              <td></td>
              <td></td>
            </tr>
            <tr>
              <td>As at end 1971.</td>
              <td></td>
              <td></td>
              <td>The Malaysian ﬁnancial sector is currently facing a number of challenges</td>
              <td></td>
              <td></td>
              <td></td>
            </tr>
          </tbody>
        </table>
      </table-wrap>
      <p>such as frequent changes in technology required for modern banking, increasing competition, rising customer expectations, etc. Hence, the efﬁciency and productivity issues have become a major area of concern for the banks’ management. In fact, productivity is an important criterion to measure the performance of banks in addition to proﬁtability, ﬁnancial, and operational efﬁciency. An efﬁcient management of banking operations aimed at increasing the efﬁciency and productivity of the ﬁnancial sector requires up to date knowledge. The ﬁgure is at end-2003, prior to the consolidation of ﬁnancial companies into their respective commercial banking parents.</p>
      <p>A lot of research work has so far taken place concerning the views about the role of ﬁnancial &amp; banking developments in economic growth [McKinnon (1973); Shaw (1973); Rajan &amp; Zingales (1998); Levine (2004); Singh (2005)], as well as banking efﬁciency and productivity [(Das &amp; Ghosh (2006); Suﬁan (2007); and Weill (2007)].2 Similarly, some studies have been undertaken for measuring the productivity and efﬁciency of banks in Malaysia [most notably, Katib &amp; Matthews (2000) and Okuda &amp; Hashimoto (2004)]. Concerning our information, despite NFBIs’ signiﬁcance towards economic development, studies that attempt to investigate this issue are relatively scarce. Over the years, while there have been extensive literature examining the productivity &amp; efﬁciency of banking industries in various countries, empirical works on NBFIs’ productivity &amp; efﬁciency are still in its infancy.</p>
    </sec>
    <sec id="sec3">
      <label>3</label>
      <title>Methodology and Data</title>
      <p>A non-parametric Data Envelopment Analysis (DEA) is employed with a variable return to scale assumption, measuring Malaysian NBFIs’ input-oriented technical efﬁciencies. DEA involves constructing a non-parametric production frontier based on the actual input-output observations in the sample, relative to the measured efﬁciency of each ﬁrm in the sample (Coelli, 1996). Let us give a short description of the Data Envelopment Analysis3. Assume that there is data on K inputs and M outputs for each N NBFI. For the ith NBFI, these are represented by the vectors xi and yi, respectively. Let us introduce the K x N input matrix, X, and the M x N output matrix, Y. To measure the efﬁciency for each NBFI, we calculate a ratio of all inputs, such as (u’yi/v’xi), where u is an M x 1 vector of output weights, and v is a K x 1 vector of input weights. To select optimal weights, we specify the following mathematical programming problem: min (u’yi /v’xi), u,v</p>
      <preformat>u’yi /v’xi ≤1,        j = 1, 2,…, N,
u,v ≥ 0                                                                                         (1)</preformat>
      <p>The above formulation has a problem of inﬁnite solutions; therefore we impose the constraint v’xi = 1, which leads to:</p>
      <p>min (μ’yi), μ,ϕ</p>
      <preformat>ϕ’xi = 1
μ’yi – ϕ’xj ≤0        j = 1, 2,…, N,
μ,ϕ ≥ 0                                                                                         (2)</preformat>
      <p>See Berger &amp; Humphrey (1997) for an excellent review. Good reference books on efﬁciency measures are Coelli et al. (1998), Cooper et al. (2000), and Thanassoulis (2001).</p>
      <p>where we change notation from u &amp; v to μ &amp; ϕ, respectively, in order to reﬂect transformations. Using the duality in linear programming, an equivalent envelopment form of this problem can be derived:</p>
      <p>min θ, θ, l yi + Yλ &gt; 0 θxi - Xλ &gt; 0 λ&gt;0 (3)</p>
      <p>where θ is a scalar representing the value of the efﬁciency score for the ith decision-making unit, which will range between 0 and 1. λ is a vector of N x 1 constants. The linear programming has to be solved N times, once for each NBFI in the sample. In order to calculate efﬁciency under the assumption of variable returns to scale, the convexity constraint (N1'λ=1) will be added to ensure that an inefﬁcient NBFI is only compared against NBFIs of similar size; thus providing the basis for measuring economies of scale within the DEA concept. For the empirical analysis, all Malaysian NBFIs would be incorporated. The annual balance sheets and income statements used to construct the variables for the empirical analysis are sourced from published balance sheet information in the annual reports. Due to scarce data from M &amp; A activity, the ﬁnal sample was an unbalanced panel sample of 92 NBFI observations. There are two main approaches that exist in banking theory literature to deﬁne the banking function: the production and intermediation approaches [Sealey &amp; Lindley (1977)]. Under the production approach, which was pioneered by Benston (1965), a ﬁnancial institution is deﬁned as a producer of services for account holders. That is, they perform transactions on deposit accounts and process documents such as loans. The intermediation approach on the other hand, assumes that ﬁnancial ﬁrms act as an intermediary between savers and borrowers, hypothesizing total loans and securities as outputs; whereas deposits with labor and physical capital are deﬁned as inputs. For the purpose of this study, a variation of the intermediation approach or asset approach originally developed by Sealey and Lindley (1977) will be adopted in the deﬁnition of inputs and outputs used. Given the sensitivity of efﬁciency estimates to the speciﬁcation of outputs and inputs, we have estimated two alternative models. In DEA Model A, we model Malaysian NBFIs as multi-product ﬁrms, producing two outputs by employing two inputs. Accordingly, Total Deposits (x1) include deposits from customers and other banks. Fixed Assets (x2) are used as input vectors to produce Total Loans (y1), which include loans to customers and other banks. Investments (y2) include investment securities held for trading, investment securities available for sale (AFS), and investment securities held to maturity. To assess the importance of risk and lending quality problems in explaining the efﬁciency of Malaysian NBFIs, following the approach by the likes of Drake and Hall (2003) and Charnes et al. (1990), Loan Loss Provisions (x3) is incorporated as an input variable in DEA Model B.</p>
      <table-wrap id="tbl2">
        <label>Table 2</label>
        <caption><title>Descriptive Statistics for Inputs and Outputs</title></caption>
        <table>
          <thead>
            <tr>
              <th colspan="12">The table presents summary statistics of the variables used to construct the efﬁciency frontier for both DEA Model A and DEA Model B over the period 2000-</th>
            </tr>
          </thead>
          <tbody>
            <tr>
              <td></td>
              <td></td>
              <td></td>
              <td>2000 (RMb)</td>
              <td></td>
              <td>2001 (RMb)</td>
              <td>2004. The sample is divided into peer groups (i.e., merchant banks and ﬁnancial companies). MB denotes merchant banks and FC denotes ﬁnance companies.</td>
              <td>2002 (RMb)</td>
              <td></td>
              <td>2003 (RMb)</td>
              <td></td>
              <td>2004 (RMb)</td>
            </tr>
            <tr>
              <td>Outputs</td>
              <td></td>
              <td>MB</td>
              <td>FC</td>
              <td>MB</td>
              <td>FC</td>
              <td>MB</td>
              <td>FC</td>
              <td>MB</td>
              <td>FC</td>
              <td>MB</td>
              <td>FC</td>
            </tr>
            <tr>
              <td>Total Loans</td>
              <td>Min Mean Max S.D</td>
              <td>172.05 1,784.70 7,677.01 2,426.46</td>
              <td>1,927.44 6,832.02 15,743.03 4,537.73</td>
              <td>135.04 1,549.44 7,571.63 2,192.84</td>
              <td>887.41 6,904.33 15,765.02 4,929.12</td>
              <td>136.73 1,336.28 6,906.83 2,014.58</td>
              <td>1,116.10 7,383.17 16,732.43 5,095.30</td>
              <td>89.77 1,173.53 5,582.32 1,706.99</td>
              <td>1,363.46 9,773.36 25,160.44 7,690.041</td>
              <td>136.55 1,045.39 5,274.91 1,628.510</td>
              <td>1408.4 9,454.49 26,048.86 8,241.46</td>
            </tr>
            <tr>
              <td>Investments</td>
              <td>Min Mean Max S.D</td>
              <td>61.79 1,710.31 5,525.08 1,945.90</td>
              <td>180.97 1,473.56 3,416.52 1,220.12</td>
              <td>74.8 1,530.41 4,985.66 1,858.97</td>
              <td>40.55 1,116.91 2,800.68 1,063.46</td>
              <td>57.82 1,655.44 5,999.55 2,035.57</td>
              <td>41.69 818.38 1,730.22 599.90</td>
              <td>99.51 2,085.44 8,023.00 2,503.18</td>
              <td>75.77 966.80 2,454.12 991.46</td>
              <td>98.67 2,058.65 6,558.26 1,974.16</td>
              <td>69.91 797.97 2,317.31 910.38</td>
            </tr>
            <tr>
              <td>Inputs</td>
              <td></td>
              <td></td>
              <td></td>
              <td></td>
              <td></td>
              <td></td>
              <td></td>
              <td></td>
              <td></td>
              <td></td>
              <td></td>
            </tr>
            <tr>
              <td>Fixed</td>
              <td>Min</td>
              <td>0.84</td>
              <td>21.68</td>
              <td>0.25</td>
              <td>5.31</td>
              <td>0.32</td>
              <td>6.71</td>
              <td>0.10</td>
              <td>6.54</td>
              <td>0.06</td>
              <td>2.02</td>
            </tr>
            <tr>
              <td>Assets</td>
              <td>Mean Max S.D</td>
              <td>4.46 11.71 4.07</td>
              <td>55.66 186.94 54.42</td>
              <td>7.90 39.69 12.45</td>
              <td>49.63 205.86 58.76</td>
              <td>11.51 45.00 16.62</td>
              <td>88.86 425.22 130.90</td>
              <td>16.21 53.69 19.61</td>
              <td>87.12 439.35 134.07</td>
              <td>14.56 54.17 19.93</td>
              <td>95.84 424.60 141.93</td>
            </tr>
            <tr>
              <td>Total De-</td>
              <td>Min</td>
              <td>58.30</td>
              <td>1,480.76</td>
              <td>88.86</td>
              <td>913.12</td>
              <td>20.23</td>
              <td>1,164.16</td>
              <td>63.78</td>
              <td>1,226.55</td>
              <td>74.62</td>
              <td>1,084.00</td>
            </tr>
            <tr>
              <td>posits</td>
              <td>Mean Max S.D</td>
              <td>2,331.99 8,110.02 2,543.59</td>
              <td>7,145.82 14,546.27 4,183.57</td>
              <td>1,906.52 8,853.50 2,596.72</td>
              <td>6,514.09 13,928.60 4,757.44</td>
              <td>1,555.06 5,356.46 1,676.94</td>
              <td>7,445.49 16,025.89 5,590.04</td>
              <td>1,660.76 5,302.27 1,676.48</td>
              <td>8,306.54 19,609.19 6,506.15</td>
              <td>2,003.80 5,929.86 1,796.95</td>
              <td>7,903.50 20,411.79 7,057.08</td>
            </tr>
            <tr>
              <td>Loan Loss</td>
              <td>Min</td>
              <td>1.18</td>
              <td>0.60</td>
              <td>10.00</td>
              <td>35.18</td>
              <td>0.08</td>
              <td>17.78</td>
              <td>7.47</td>
              <td>33.79</td>
              <td>17.70</td>
              <td>59.72</td>
            </tr>
            <tr>
              <td>Provisions</td>
              <td>Mean Max S.D</td>
              <td>55.7925 160.28 58.02</td>
              <td>136.40 519.78 168.09</td>
              <td>71.09 229.44 68.35</td>
              <td>119.96 384.38 106.56</td>
              <td>32.78 154.35 47.14</td>
              <td>107.03 311.64 84.65</td>
              <td>47.45 253.24 79.14</td>
              <td>108.10 378.73 101.04</td>
              <td>58.43 159.31 40.40</td>
              <td>155.74 347.76 96.39</td>
            </tr>
          </tbody>
        </table>
      </table-wrap>
      <p>to construct the efﬁciency frontier. During the period of study, it is apparent that the ﬁnancial companies were almost three times larger (in terms of asset size) and commanded higher market share in terms of loans &amp; deposits, compared with their merchant bank peers. On the other hand, although the merchant banks were smaller, they seem to have produced a higher amount of investments with lower amounts of defaulted loans. The differences are further conﬁrmed by a series of parametric (t-test) and non-parametric (Kruskal-Wallis and Mann-Whitney [Wilcoxon Rank- Sum] tests), which suggest that the differences in the mean are signiﬁcant for all variables at the 1 per cent level of signiﬁcance4.</p>
    </sec>
    <sec id="sec4">
      <label>4</label>
      <title>Results</title>
      <p>In this section, we will discuss the technical efﬁciency change (TE) of the Malaysian NBFI sector, measured by the Data Envelopment Analysis (DEA) method, along with its decomposition into pure technical efﬁciency (PTE) and scale efﬁciency (SE) components. With the existence of scale inefﬁciency, we will attempt to provide evidence on the nature of returns to scale of Malaysian NBFI. The efﬁciency of Malaysian NBFIs was ﬁrst examined by applying the DEA method for each year under investigation by employing the traditional input-output variables. We extend the analysis to examine the merchant banks and ﬁnancial companies’ efﬁciency results derived from an alternative model, which incorporates a non-discretionary, input variable.</p>
      <sec id="sec4-1">
        <label>4.1</label>
        <title>Efﬁcieny of the Malaysian NBFI Sector</title>
        <p>Table 3 presents the mean efﬁciency scores of the merchant banks for the years 2000 (Panel A), 2001 (Panel B), 2002 (Panel C), 2003 (Panel D), 2004 (Panel E), and All Years (Panel F). The results from DEA Model A seems to suggest that the merchant banks’ mean technical efﬁciency has been on a declining trend during the earlier part of the studies, before increasing again during the latter years. The decomposition of overall efﬁciency into its pure technical and scale efﬁciency components suggest that the merchant banks have exhibited higher scale efﬁciency during 2000 and 2002. Overall, the results imply that during the period of study, the merchant banks have been operating at the wrong scale of operations. During the period of study, the results from Panel F of Table 3 seem to suggest that the merchant banks have exhibited a mean technical efﬁciency of 69.6 percent, suggesting a mean input waste of 30.4 percent. In other words, the merchant banks could have produced the same amount of outputs by only using 69.6 percent of the amount of inputs it uses. From</p>
        <table-wrap id="tbl3">
          <label>Table 3</label>
          <caption><title>(Panel F), it is also clear that scale inefﬁciency outweighs pure, technical</title></caption>
        </table-wrap>
        <p>inefﬁciency in determining the total technical inefﬁciency of the merchant banks. Investment is not signiﬁcant in the case of the Mann-Whitney [Wilcoxon Rank-Sum] and Kruskal-Wallis tests at any conventional levels. To conserve space, we do not report the results here. They are available from the authors upon request.</p>
        <table-wrap id="tbl3">
          <label>Table 3</label>
          <caption><title>Summary Statistics of Efﬁciency Measures – Merchant Banks (DEA</title></caption>
          <table>
            <thead>
              <tr>
                <th>Model A)</th>
                <th colspan="4"></th>
              </tr>
              <tr>
                <th colspan="5">The table presents mean, minimum, maximum, and standard deviation of Malaysian NBFIs’ technical</th>
              </tr>
              <tr>
                <th colspan="5">efﬁciency (TE), its mutually exhaustive, pure technical efﬁciency (PTE), and scale efﬁciency (SE)</th>
              </tr>
              <tr>
                <th colspan="5">components derived from DEA Model A (excluding the risk factor). Panel A, B, C, D, and E shows</th>
              </tr>
              <tr>
                <th colspan="5">the mean, minimum, maximum, and standard deviation of TE, PTE, and SE of the merchant banks for</th>
              </tr>
              <tr>
                <th colspan="5">the years 2000, 2001, 2002, 2003, and 2004, respectively. Panel F presents the merchant banks mean,</th>
              </tr>
              <tr>
                <th colspan="5">minimum, maximum, and standard deviation of TE, PTE, and SE scores, respectively. The TE, PTE,</th>
              </tr>
              <tr>
                <th colspan="4">and SE scores are bounded between a minimum of 0 and a maximum of 1.</th>
                <th></th>
              </tr>
              <tr>
                <th>Efﬁciency Measures</th>
                <th>Mean</th>
                <th>Minimum</th>
                <th>Maximum</th>
                <th>Std. Dev.</th>
              </tr>
              <tr>
                <th>Panel A: 2000</th>
                <th colspan="4"></th>
              </tr>
            </thead>
            <tbody>
              <tr>
                <td>Technical Efﬁciency</td>
                <td>0.908</td>
                <td>0.443</td>
                <td>1.000</td>
                <td>0.193</td>
              </tr>
              <tr>
                <td>Pure Technical Efﬁciency</td>
                <td>0.925</td>
                <td>0.527</td>
                <td>1.000</td>
                <td>0.167</td>
              </tr>
              <tr>
                <td>Scale Efﬁciency</td>
                <td>0.974</td>
                <td>0.841</td>
                <td>1.000</td>
                <td>0.056</td>
              </tr>
              <tr>
                <td>Panel B: 2001</td>
                <td></td>
                <td></td>
                <td></td>
                <td></td>
              </tr>
              <tr>
                <td>Technical Efﬁciency</td>
                <td>0.745</td>
                <td>0.342</td>
                <td>1.000</td>
                <td>0.271</td>
              </tr>
              <tr>
                <td>Pure Technical Efﬁciency</td>
                <td>0.897</td>
                <td>0.547</td>
                <td>1.000</td>
                <td>0.180</td>
              </tr>
              <tr>
                <td>Scale Efﬁciency</td>
                <td>0.822</td>
                <td>0.372</td>
                <td>1.000</td>
                <td>0.218</td>
              </tr>
              <tr>
                <td>Panel C: 2002</td>
                <td></td>
                <td></td>
                <td></td>
                <td></td>
              </tr>
              <tr>
                <td>Technical Efﬁciency</td>
                <td>0.750</td>
                <td>0.216</td>
                <td>1.000</td>
                <td>0.327</td>
              </tr>
              <tr>
                <td>Pure Technical Efﬁciency</td>
                <td>0.851</td>
                <td>0.266</td>
                <td>1.000</td>
                <td>0.266</td>
              </tr>
              <tr>
                <td>Scale Efﬁciency</td>
                <td>0.861</td>
                <td>0.438</td>
                <td>1.000</td>
                <td>0.222</td>
              </tr>
              <tr>
                <td>Panel D: 2003</td>
                <td></td>
                <td></td>
                <td></td>
                <td></td>
              </tr>
              <tr>
                <td>Technical Efﬁciency</td>
                <td>0.506</td>
                <td>0.188</td>
                <td>1.000</td>
                <td>0.320</td>
              </tr>
              <tr>
                <td>Pure Technical Efﬁciency</td>
                <td>0.894</td>
                <td>0.429</td>
                <td>1.000</td>
                <td>0.201</td>
              </tr>
              <tr>
                <td>Scale Efﬁciency</td>
                <td>0.562</td>
                <td>0.188</td>
                <td>1.000</td>
                <td>0.298</td>
              </tr>
              <tr>
                <td>Panel E: 2004</td>
                <td></td>
                <td></td>
                <td></td>
                <td></td>
              </tr>
              <tr>
                <td>Technical Efﬁciency</td>
                <td>0.582</td>
                <td>0.331</td>
                <td>1.000</td>
                <td>0.209</td>
              </tr>
              <tr>
                <td>Pure Technical Efﬁciency</td>
                <td>0.924</td>
                <td>0.685</td>
                <td>1.000</td>
                <td>0.133</td>
              </tr>
              <tr>
                <td>Scale Efﬁciency</td>
                <td>0.636</td>
                <td>0.386</td>
                <td>1.000</td>
                <td>0.226</td>
              </tr>
              <tr>
                <td>Panel F: Merchant Banks</td>
                <td></td>
                <td></td>
                <td></td>
                <td></td>
              </tr>
              <tr>
                <td>All Years</td>
                <td></td>
                <td></td>
                <td></td>
                <td></td>
              </tr>
              <tr>
                <td>Technical Efﬁciency</td>
                <td>0.696</td>
                <td>0.188</td>
                <td>1.000</td>
                <td>0.295</td>
              </tr>
              <tr>
                <td>Pure Technical Efﬁciency</td>
                <td>0.897</td>
                <td>0.266</td>
                <td>1.000</td>
                <td>0.190 0.258</td>
              </tr>
              <tr>
                <td>Scale Efﬁciency</td>
                <td>0.770 Table 4 presents mean efﬁciency scores of the ﬁnance companies for the years</td>
                <td>0.188</td>
                <td>1.000</td>
                <td></td>
              </tr>
            </tbody>
          </table>
        </table-wrap>
        <p>2000 (Panel A), 2001 (Panel B), 2002 (Panel C), 2003 (Panel D), 2004 (Panel E), and All Years (Panel F). Similar to their merchant bank counterparts, the results from DEA Model A seem to suggest that the ﬁnancial companies’ mean technical efﬁciency has been on a declining trend during the earlier part of the studies, before increasing during the latter years. The decomposition of technical efﬁciency into its pure technical and scale efﬁciency components suggest that scale inefﬁciency outweighs the pure technical inefﬁciency of the ﬁnancial companies during all years. The results seem to suggest that the ﬁnance companies have exhibited a mean technical efﬁciency of 44.7 percent, which is lower compared to their merchant bank counterparts.</p>
        <p>Likewise, the results suggest that the ﬁnancial companies’ inefﬁciency was mainly due to scale, rather than pure technical albeit at a higher degree of 44.8 percent (merchant banks – 23.0 percent). The ﬁnancial companies also seem to have exhibited a lower pure technical efﬁciency of 82.0 percent (merchant banks – 89.7 percent). Overall, the results suggest that compared to their merchant bank counterparts, the ﬁnancial companies were relatively managerially inefﬁcient in controlling their operating costs and have been operating at a relatively less optimal scale of operations.</p>
        <table-wrap id="tbl4">
          <label>Table 4</label>
          <caption><title>Summary Statistics of Efﬁciency Measures – Finance Companies (DEA</title></caption>
          <table>
            <thead>
              <tr>
                <th>Model A)</th>
                <th colspan="4"></th>
              </tr>
              <tr>
                <th colspan="5">The table presents mean, minimum, maximum, and standard deviation of Malaysian NBFIs’ technical</th>
              </tr>
              <tr>
                <th colspan="5">efﬁciency (TE), its mutually exhaustive, pure technical efﬁciency (PTE), and scale efﬁciency (SE)</th>
              </tr>
              <tr>
                <th colspan="5">components derived from DEA Model A (excluding the risk factor). Panel A, B, C, D, and E shows</th>
              </tr>
              <tr>
                <th colspan="5">the mean, minimum, maximum, and standard deviation of TE, PTE, and SE of the ﬁnance companies</th>
              </tr>
              <tr>
                <th colspan="5">for the years 2000, 2001, 2002, 2003, and 2004, respectively. Panel F presents the ﬁnance companies’</th>
              </tr>
              <tr>
                <th colspan="5">mean, minimum, maximum, and standard deviation of TE, PTE, and SE scores, respectively. The TE,</th>
              </tr>
              <tr>
                <th colspan="4">PTE, and SE scores are bounded between a minimum of 0 and a maximum of 1.</th>
                <th></th>
              </tr>
              <tr>
                <th>Efﬁciency Measures</th>
                <th>Mean</th>
                <th>Minimum</th>
                <th>Maximum</th>
                <th>Std. Dev.</th>
              </tr>
              <tr>
                <th>Panel A: 2000</th>
                <th colspan="4"></th>
              </tr>
            </thead>
            <tbody>
              <tr>
                <td>Technical Efﬁciency</td>
                <td>0.538</td>
                <td>0.350</td>
                <td>1.000</td>
                <td>0.216</td>
              </tr>
              <tr>
                <td>Pure Technical Efﬁciency</td>
                <td>0.811</td>
                <td>0.466</td>
                <td>1.000</td>
                <td>0.197</td>
              </tr>
              <tr>
                <td>Scale Efﬁciency</td>
                <td>0.679</td>
                <td>0.399</td>
                <td>1.000</td>
                <td>0.228</td>
              </tr>
              <tr>
                <td>Panel B: 2001</td>
                <td></td>
                <td></td>
                <td></td>
                <td></td>
              </tr>
              <tr>
                <td>Technical Efﬁciency</td>
                <td>0.389</td>
                <td>0.266</td>
                <td>0.693</td>
                <td>0.142</td>
              </tr>
              <tr>
                <td>Pure Technical Efﬁciency</td>
                <td>0.807</td>
                <td>0.491</td>
                <td>1.000</td>
                <td>0.219</td>
              </tr>
              <tr>
                <td>Scale Efﬁciency</td>
                <td>0.489</td>
                <td>0.342</td>
                <td>0.693</td>
                <td>0.124</td>
              </tr>
              <tr>
                <td>Panel C: 2002</td>
                <td></td>
                <td></td>
                <td></td>
                <td></td>
              </tr>
              <tr>
                <td>Technical Efﬁciency</td>
                <td>0.248</td>
                <td>0.058</td>
                <td>0.589</td>
                <td>0.149</td>
              </tr>
              <tr>
                <td>Pure Technical Efﬁciency</td>
                <td>0.828</td>
                <td>0.530</td>
                <td>1.000</td>
                <td>0.186</td>
              </tr>
              <tr>
                <td>Scale Efﬁciency</td>
                <td>0.300</td>
                <td>0.092</td>
                <td>0.589</td>
                <td>0.155</td>
              </tr>
              <tr>
                <td>Panel D: 2003</td>
                <td></td>
                <td></td>
                <td></td>
                <td></td>
              </tr>
              <tr>
                <td>Technical Efﬁciency</td>
                <td>0.490</td>
                <td>0.243</td>
                <td>0.769</td>
                <td>0.140</td>
              </tr>
              <tr>
                <td>Pure Technical Efﬁciency</td>
                <td>0.822</td>
                <td>0.440</td>
                <td>1.000</td>
                <td>0.199</td>
              </tr>
              <tr>
                <td>Scale Efﬁciency</td>
                <td>0.599</td>
                <td>0.446</td>
                <td>0.769</td>
                <td>0.104</td>
              </tr>
              <tr>
                <td>Panel E: 2004</td>
                <td></td>
                <td></td>
                <td></td>
                <td></td>
              </tr>
              <tr>
                <td>Technical Efﬁciency</td>
                <td>0.625</td>
                <td>0.296</td>
                <td>0.974</td>
                <td>0.188</td>
              </tr>
              <tr>
                <td>Pure Technical Efﬁciency</td>
                <td>0.835</td>
                <td>0.428</td>
                <td>1.000</td>
                <td>0.209</td>
              </tr>
              <tr>
                <td>Scale Efﬁciency</td>
                <td>0.758</td>
                <td>0.540</td>
                <td>0.974</td>
                <td>0.169</td>
              </tr>
              <tr>
                <td>Panel F: Finance Companies</td>
                <td></td>
                <td></td>
                <td></td>
                <td></td>
              </tr>
              <tr>
                <td>All Years</td>
                <td></td>
                <td></td>
                <td></td>
                <td></td>
              </tr>
              <tr>
                <td>Technical Efﬁciency</td>
                <td>0.447</td>
                <td>0.058</td>
                <td>1.000</td>
                <td>0.205</td>
              </tr>
              <tr>
                <td>Pure Technical Efﬁciency</td>
                <td>0.820</td>
                <td>0.428</td>
                <td>1.000</td>
                <td>0.193</td>
              </tr>
              <tr>
                <td>Scale Efﬁciency</td>
                <td>0.552 The ﬁndings are interesting in that although the merchant banks were small</td>
                <td>0.092</td>
                <td>1.000</td>
                <td>0.220</td>
              </tr>
            </tbody>
          </table>
        </table-wrap>
        <p>relative to their ﬁnancial counterparts with having relatively limited operations, they seem to have exhibited higher efﬁciency levels. The ﬁndings support the divisibility theory, which holds that there will be no such operational advantage accruing to large NBFIs if the technology is divisible. That is, small scale NBFIs can produce ﬁnancial services at costs per unit output comparable to those of large NBFIs, suggesting no or possibly negative association between size and performance. This was made possible as advances in technology reduced the size and cost of automated equipment; thus, signiﬁcantly enhancing small NBFIs ability to purchase expensive technology, implying more divisibility in the banking industry’s technology (Kolari &amp; Zardkoohi, 1987). Since the dominant source of the total technical X- (in) efﬁciency in the Malaysian NBFI sector seems to be scale related, it is worth investigating the composition of the efﬁciency frontier. Table 5 shows NBFIs that lie on the efﬁciency frontier under DEA Model A.</p>
        <table-wrap id="tbl5">
          <label>Table 5</label>
          <caption><title>Composition of Production Frontiers (DEA Model A)</title></caption>
          <table>
            <tbody>
              <tr>
                <td>Bank</td>
                <td>Type</td>
                <td>2000</td>
                <td>2001</td>
                <td>2002</td>
                <td>2003</td>
                <td>2004</td>
                <td>Count</td>
              </tr>
              <tr>
                <td>Afﬁn Merchant Bank</td>
                <td>MB</td>
                <td>IRS</td>
                <td>DRS</td>
                <td>DRS</td>
                <td>DRS</td>
                <td>DRS</td>
                <td>0</td>
              </tr>
              <tr>
                <td>Afﬁn-ACF Finance</td>
                <td>FC</td>
                <td>DRS</td>
                <td>DRS</td>
                <td>DRS</td>
                <td>DRS</td>
                <td>DRS</td>
                <td>0</td>
              </tr>
              <tr>
                <td>Alliance Finance</td>
                <td>FC</td>
                <td></td>
                <td>DRS</td>
                <td>DRS</td>
                <td>DRS</td>
                <td>DRS</td>
                <td>0</td>
              </tr>
              <tr>
                <td>Alliance Merchant Bank</td>
                <td>MB</td>
                <td></td>
                <td>DRS</td>
                <td>DRS</td>
                <td>DRS</td>
                <td>DRS</td>
                <td>0</td>
              </tr>
              <tr>
                <td>Arab-Malaysian Finance</td>
                <td>FC</td>
                <td>CRS</td>
                <td>DRS</td>
                <td>DRS</td>
                <td>DRS</td>
                <td>DRS</td>
                <td>1</td>
              </tr>
              <tr>
                <td>Arab-Malaysian Merchant</td>
                <td>MB</td>
                <td>CRS</td>
                <td>DRS</td>
                <td>DRS</td>
                <td>DRS</td>
                <td>DRS</td>
                <td>1</td>
              </tr>
              <tr>
                <td>Bank</td>
                <td></td>
                <td></td>
                <td></td>
                <td></td>
                <td></td>
                <td></td>
                <td></td>
              </tr>
              <tr>
                <td>Aseambankers</td>
                <td>MB</td>
                <td>CRS</td>
                <td>DRS</td>
                <td>CRS</td>
                <td>DRS</td>
                <td>DRS</td>
                <td>1</td>
              </tr>
              <tr>
                <td>Bumiputra-Commerce</td>
                <td>FC</td>
                <td>DRS</td>
                <td>DRS</td>
                <td>DRS</td>
                <td>DRS</td>
                <td>DRS</td>
                <td>0</td>
              </tr>
              <tr>
                <td>Finance</td>
                <td></td>
                <td></td>
                <td></td>
                <td></td>
                <td></td>
                <td></td>
                <td></td>
              </tr>
              <tr>
                <td>Commerce International</td>
                <td>MB</td>
                <td>CRS</td>
                <td>CRS</td>
                <td>DRS</td>
                <td>DRS</td>
                <td>DRS</td>
                <td>2</td>
              </tr>
              <tr>
                <td>Merchant Bankers</td>
                <td></td>
                <td></td>
                <td></td>
                <td></td>
                <td></td>
                <td></td>
                <td></td>
              </tr>
              <tr>
                <td>EON Finance</td>
                <td>FC</td>
                <td>DRS</td>
                <td>DRS</td>
                <td>DRS</td>
                <td>DRS</td>
                <td></td>
                <td>0</td>
              </tr>
              <tr>
                <td>Hong Leong Finance</td>
                <td>FC</td>
                <td>DRS</td>
                <td>DRS</td>
                <td>DRS</td>
                <td>DRS</td>
                <td>DRS</td>
                <td>0</td>
              </tr>
              <tr>
                <td>Malaysian International</td>
                <td>MB</td>
                <td>IRS</td>
                <td>CRS</td>
                <td>CRS</td>
                <td></td>
                <td></td>
                <td>2</td>
              </tr>
              <tr>
                <td>Merchant Bankers</td>
                <td></td>
                <td></td>
                <td></td>
                <td></td>
                <td></td>
                <td></td>
                <td></td>
              </tr>
              <tr>
                <td>Mayban Finance</td>
                <td>FC</td>
                <td>DRS</td>
                <td>DRS</td>
                <td>DRS</td>
                <td>DRS</td>
                <td>DRS</td>
                <td>0</td>
              </tr>
              <tr>
                <td>Public Finance</td>
                <td>FC</td>
                <td>DRS</td>
                <td>DRS</td>
                <td>DRS</td>
                <td>DRS</td>
                <td></td>
                <td>0</td>
              </tr>
              <tr>
                <td>Public Merchant Bank</td>
                <td>MB</td>
                <td></td>
                <td>CRS</td>
                <td>CRS</td>
                <td>DRS</td>
                <td>DRS</td>
                <td>2</td>
              </tr>
              <tr>
                <td>RHB Delta Finance</td>
                <td>FC</td>
                <td></td>
                <td>DRS</td>
                <td>DRS</td>
                <td>DRS</td>
                <td>DRS</td>
                <td>0</td>
              </tr>
              <tr>
                <td>RHB Sakura Merchant</td>
                <td>MB</td>
                <td>CRS</td>
                <td>CRS</td>
                <td>CRS</td>
                <td>DRS</td>
                <td>DRS</td>
                <td>3</td>
              </tr>
              <tr>
                <td>Bankers</td>
                <td></td>
                <td></td>
                <td></td>
                <td></td>
                <td></td>
                <td></td>
                <td></td>
              </tr>
              <tr>
                <td>Southern Finance</td>
                <td>FC</td>
                <td>DRS</td>
                <td>DRS</td>
                <td>DRS</td>
                <td>DRS</td>
                <td>DRS</td>
                <td>0</td>
              </tr>
              <tr>
                <td>Southern Investment Bank</td>
                <td>MB</td>
                <td>CRS</td>
                <td>IRS</td>
                <td>DRS</td>
                <td>CRS</td>
                <td>IRS</td>
                <td>2</td>
              </tr>
              <tr>
                <td>Utama Merchant Bank</td>
                <td>MB</td>
                <td>IRS</td>
                <td>DRS</td>
                <td>CRS</td>
                <td>CRS</td>
                <td>CRS</td>
                <td>3</td>
              </tr>
              <tr>
                <td>Number of NBFI</td>
                <td>n</td>
                <td>6</td>
                <td>4</td>
                <td>5</td>
                <td>2</td>
                <td>1</td>
                <td></td>
              </tr>
            </tbody>
          </table>
        </table-wrap>
        <p>Note: CRS – (Constant Returns to Scale); DRS – (Decreasing Returns to Scale); IRS – (Increasing Returns to Scale); The NBFIs corresponds to the shaded regions which have not been efﬁcient in any year in the sample period (2001-2005) compared to the other NBFIs in the sample; MB – Merchant Bank; FC – Finance Company</p>
        <p>The composition of the efﬁciency frontier for DEA Model A suggests that the number of 100 percent efﬁcient NBFIs [operating at constant returns to scale (CRS)], varies between one to six NBFIs. During the period of study, the merchant banks seem to have dominated the efﬁciency frontier for DEA Model A. It is also clear from the results that two merchant banks, namely RHB Sakura Merchant Bankers and Utama Merchant Bank, have appeared the most times on the efﬁciency frontier. A total of eight merchant banks have appeared at least once on the efﬁciency frontier, while only two merchant banks have failed to make it to the frontier. On the other hand, the results seem to suggest that only one ﬁnancial company has managed to make it to the frontier, while nine others have never made it to the efﬁciency frontier throughout the period of study.</p>
      </sec>
      <sec id="sec4-2">
        <label>2.2</label>
        <title>Non-performing Loans and the Gap Between the Two DEA Models</title>
        <p>Having established the basic DEA model, we now analyze the potential impact of risk and problem loans concerning the efﬁciency of Malaysian NBFIs. As indicated previously, these results are obtained by modifying the initial DEA model to incorporate an additional, non-discretionary input variable, in the form of provisions of loans losses. In general, the ﬁndings seem to suggest that controlling for problem loans resulted in a higher mean technical efﬁciency of Malaysian NBFIs during all years5. In line with the ﬁndings by Drake &amp; Hall (2003) and Altunbas et al. (2000), the results seem to suggest that potential economies of scale may well be overestimated when risk factors are excluded. Likewise, it is clear that the inclusion of loan loss provisions has resulted in a higher mean pure technical efﬁciency of Malaysian NBFIs6. The results support earlier ﬁndings by Altunbas et al. (2000), who had suggested that the mean scale efﬁciency estimate is much more sensitive than the mean pure technical efﬁciency estimate to the exclusion of risk factors. We now turn to discuss the impact of the inclusion of loan loss provisions on the evolution of the merchant banks’ technical efﬁciency. The results from Table 6 suggest that the inclusion of risk factors has resulted in a higher technical efﬁciency for merchant banks. It is also apparent that the inclusion of loan loss provisions has had a greater positive impact on the merchant banks’ scale efﬁciency. Table 7 highlights the results for the ﬁnancial companies. Similar to their merchant bank counterparts, the results from Table 7 suggest that the inclusion of risk factors has resulted in a higher technical efﬁciency for ﬁnancial companies. Likewise, it is also apparent that the inclusion of loan loss provisions has had a greater positive impact on the ﬁnancial companies’ scale efﬁciency. With a closer look at the results, it seems that the magnitude of the increase in the ﬁnancial companies’ pure technical and scale efﬁciency is higher compared to their merchant bank peers. A plausible reason is that during the period of study, the ﬁnancial companies had a higher amount of defaulted loans compared to their peers.</p>
        <p>Except for the merchant banks during the year 2000. Except for the merchant banks during the year 2000.</p>
        <table-wrap id="tbl6">
          <label>Table 6</label>
          <caption><title>Summary Statistics of Efﬁciency Measures – Merchant Banks (DEA</title></caption>
          <table>
            <thead>
              <tr>
                <th>Model B)</th>
                <th colspan="4"></th>
              </tr>
              <tr>
                <th colspan="5">The table presents mean, minimum, maximum, and standard deviation of Malaysian NBFIs’ technical</th>
              </tr>
              <tr>
                <th colspan="5">efﬁciency (TE), its mutually exhaustive, pure technical efﬁciency (PTE), and scale efﬁciency (SE)</th>
              </tr>
              <tr>
                <th colspan="5">components derived from DEA Model B (inclusive of the risk factor). Panel A, B, C, D, and E shows</th>
              </tr>
              <tr>
                <th colspan="5">the mean, minimum, maximum, and standard deviation of TE, PTE, and SE of the merchant banks for</th>
              </tr>
              <tr>
                <th colspan="5">the years 2000, 2001, 2002, 2003, and 2004, respectively. Panel F presents the merchant banks mean,</th>
              </tr>
              <tr>
                <th colspan="5">minimum, maximum, and standard deviation of TE, PTE, and SE scores, respectively. The TE, PTE,</th>
              </tr>
              <tr>
                <th colspan="4">and SE scores are bounded between a minimum of 0 and a maximum of 1.</th>
                <th></th>
              </tr>
              <tr>
                <th>Efﬁciency Measures</th>
                <th>Mean</th>
                <th>Minimum</th>
                <th>Maximum</th>
                <th>Std. Dev.</th>
              </tr>
              <tr>
                <th>Panel A: 2000</th>
                <th colspan="4"></th>
              </tr>
            </thead>
            <tbody>
              <tr>
                <td>Technical Efﬁciency</td>
                <td>0.908</td>
                <td>0.443</td>
                <td>1.000</td>
                <td>0.193</td>
              </tr>
              <tr>
                <td>Pure Technical Efﬁciency</td>
                <td>0.926</td>
                <td>0.532</td>
                <td>1.000</td>
                <td>0.165</td>
              </tr>
              <tr>
                <td>Scale Efﬁciency</td>
                <td>0.973</td>
                <td>0.834</td>
                <td>1.000</td>
                <td>0.058</td>
              </tr>
              <tr>
                <td>Panel B: 2001</td>
                <td></td>
                <td></td>
                <td></td>
                <td></td>
              </tr>
              <tr>
                <td>Technical Efﬁciency</td>
                <td>0.818</td>
                <td>0.437</td>
                <td>1.000</td>
                <td>0.219</td>
              </tr>
              <tr>
                <td>Pure Technical Efﬁciency</td>
                <td>0.897</td>
                <td>0.551</td>
                <td>1.000</td>
                <td>0.179</td>
              </tr>
              <tr>
                <td>Scale Efﬁciency</td>
                <td>0.903</td>
                <td>0.683</td>
                <td>1.000</td>
                <td>0.119</td>
              </tr>
              <tr>
                <td>Panel C: 2002</td>
                <td></td>
                <td></td>
                <td></td>
                <td></td>
              </tr>
              <tr>
                <td>Technical Efﬁciency</td>
                <td>0.837</td>
                <td>0.275</td>
                <td>1.000</td>
                <td>0.251</td>
              </tr>
              <tr>
                <td>Pure Technical Efﬁciency</td>
                <td>0.914</td>
                <td>0.492</td>
                <td>1.000</td>
                <td>0.159</td>
              </tr>
              <tr>
                <td>Scale Efﬁciency</td>
                <td>0.905</td>
                <td>0.559</td>
                <td>1.000</td>
                <td>0.189</td>
              </tr>
              <tr>
                <td>Panel D: 2003</td>
                <td></td>
                <td></td>
                <td></td>
                <td></td>
              </tr>
              <tr>
                <td>Technical Efﬁciency</td>
                <td>0.885</td>
                <td>0.504</td>
                <td>1.000</td>
                <td>0.204</td>
              </tr>
              <tr>
                <td>Pure Technical Efﬁciency</td>
                <td>0.912</td>
                <td>0.513</td>
                <td>1.000</td>
                <td>0.181</td>
              </tr>
              <tr>
                <td>Scale Efﬁciency</td>
                <td>0.963</td>
                <td>0.793</td>
                <td>1.000</td>
                <td>0.085</td>
              </tr>
              <tr>
                <td>Panel E: 2004</td>
                <td></td>
                <td></td>
                <td></td>
                <td></td>
              </tr>
              <tr>
                <td>Technical Efﬁciency</td>
                <td>0.896</td>
                <td>0.700</td>
                <td>1.000</td>
                <td>0.127</td>
              </tr>
              <tr>
                <td>Pure Technical Efﬁciency</td>
                <td>0.950</td>
                <td>0.857</td>
                <td>1.000</td>
                <td>0.048</td>
              </tr>
              <tr>
                <td>Scale Efﬁciency</td>
                <td>0.946</td>
                <td>0.700</td>
                <td>1.000</td>
                <td>0.110</td>
              </tr>
              <tr>
                <td>Panel F: Merchant Banks</td>
                <td></td>
                <td></td>
                <td></td>
                <td></td>
              </tr>
              <tr>
                <td>All Years</td>
                <td></td>
                <td></td>
                <td></td>
                <td></td>
              </tr>
              <tr>
                <td>Technical Efﬁciency</td>
                <td>0.869</td>
                <td>0.275</td>
                <td>1.000</td>
                <td>0.199</td>
              </tr>
              <tr>
                <td>Pure Technical Efﬁciency</td>
                <td>0.929</td>
                <td>0.492</td>
                <td>1.000</td>
                <td>0.151</td>
              </tr>
              <tr>
                <td>Scale Efﬁciency</td>
                <td>0.927 The empirical ﬁndings clearly demonstrate the importance of risk in explaining</td>
                <td>0.559</td>
                <td>1.000</td>
                <td>0.123</td>
              </tr>
            </tbody>
          </table>
        </table-wrap>
        <p>ﬁnancial institutions’ efﬁciency, in particular scale efﬁciency. If anything could be deduced from the results, the omission of risk factors may signiﬁcantly overestimate ﬁnancial institutions’ potential economies of scale, which could lead to bias conclusions and consequently, policy recommendations. The ﬁndings are particularly important for the Malaysian policy makers in its quest to consolidate the banking system further to achieve greater economies of scale and efﬁciency. The Malaysian government has always believed that such a move would result in larger institutions, which could withstand greater competition from foreign players, as well as any shocks to the ﬁnancial system. As the actual potential economies of scale may signiﬁcantly be lower than initially expected, policy makers should be more cautious in promoting mergers as a means in achieving greater efﬁciency by attaining better economies of scale. Furthermore, most of the research conducted surrounding the explanation of bank or thrift industry failures had found that failing institutions carried a large proportion of non-performing loans in their books prior to failure [Dermiguc-Kunt (1989); Whalen (1991); Barr &amp; Siems (1994); Berger &amp; Humphrey (1992); Barr &amp; Siems (1994); and Wheelock &amp; Wilson (1995)]. Banks approaching failure tend to have low cost efﬁciency while experiencing high ratios of problem loans, as failing banks tend to be located far from the best practice frontiers.</p>
        <table-wrap id="tbl7">
          <label>Table 7</label>
          <caption><title>Summary Statistics of Efﬁciency Measures – Finance Companies (DEA</title></caption>
          <table>
            <thead>
              <tr>
                <th>Model B)</th>
                <th colspan="4"></th>
              </tr>
              <tr>
                <th colspan="5">The table presents mean, minimum, maximum, and standard deviation of Malaysian NBFIs’ technical</th>
              </tr>
              <tr>
                <th colspan="5">efﬁciency (TE), its mutually exhaustive, pure technical efﬁciency (PTE), and scale efﬁciency (SE)</th>
              </tr>
              <tr>
                <th colspan="5">components derived from DEA Model B (inclusive of the risk factor). Panel A, B, C, D, and E shows</th>
              </tr>
              <tr>
                <th colspan="5">the mean, minimum, maximum, and standard deviation of TE, PTE, and SE of the merchant banks for</th>
              </tr>
              <tr>
                <th colspan="5">the years 2000, 2001, 2002, 2003, and 2004, respectively. Panel F presents the merchant banks mean,</th>
              </tr>
              <tr>
                <th colspan="5">minimum, maximum, and standard deviation of TE, PTE, and SE scores, respectively. The TE, PTE,</th>
              </tr>
              <tr>
                <th colspan="4">and SE scores are bounded between a minimum of 0 and a maximum of 1.</th>
                <th></th>
              </tr>
              <tr>
                <th>Efﬁciency Measures</th>
                <th>Mean</th>
                <th>Minimum</th>
                <th>Maximum</th>
                <th>Std. Dev.</th>
              </tr>
              <tr>
                <th>Panel A: 2000</th>
                <th colspan="4"></th>
              </tr>
            </thead>
            <tbody>
              <tr>
                <td>Technical Efﬁciency</td>
                <td>0.823</td>
                <td>0.560</td>
                <td>1.000</td>
                <td>0.174</td>
              </tr>
              <tr>
                <td>Pure Technical Efﬁciency</td>
                <td>0.902</td>
                <td>0.561</td>
                <td>1.000</td>
                <td>0.162</td>
              </tr>
              <tr>
                <td>Scale Efﬁciency</td>
                <td>0.918</td>
                <td>0.644</td>
                <td>1.000</td>
                <td>0.122</td>
              </tr>
              <tr>
                <td>Panel B: 2001</td>
                <td></td>
                <td></td>
                <td></td>
                <td></td>
              </tr>
              <tr>
                <td>Technical Efﬁciency</td>
                <td>0.799</td>
                <td>0.511</td>
                <td>1.000</td>
                <td>0.173</td>
              </tr>
              <tr>
                <td>Pure Technical Efﬁciency</td>
                <td>0.878</td>
                <td>0.517</td>
                <td>1.000</td>
                <td>0.196</td>
              </tr>
              <tr>
                <td>Scale Efﬁciency</td>
                <td>0.918</td>
                <td>0.747</td>
                <td>1.000</td>
                <td>0.094</td>
              </tr>
              <tr>
                <td>Panel C: 2002</td>
                <td></td>
                <td></td>
                <td></td>
                <td></td>
              </tr>
              <tr>
                <td>Technical Efﬁciency</td>
                <td>0.643</td>
                <td>0.324</td>
                <td>1.000</td>
                <td>0.212</td>
              </tr>
              <tr>
                <td>Pure Technical Efﬁciency</td>
                <td>0.860</td>
                <td>0.533</td>
                <td>1.000</td>
                <td>0.181</td>
              </tr>
              <tr>
                <td>Scale Efﬁciency</td>
                <td>0.726</td>
                <td>0.512</td>
                <td>1.000</td>
                <td>0.139</td>
              </tr>
              <tr>
                <td>Panel D: 2003</td>
                <td></td>
                <td></td>
                <td></td>
                <td></td>
              </tr>
              <tr>
                <td>Technical Efﬁciency</td>
                <td>0.801</td>
                <td>0.554</td>
                <td>1.000</td>
                <td>0.157</td>
              </tr>
              <tr>
                <td>Pure Technical Efﬁciency</td>
                <td>0.859</td>
                <td>0.562</td>
                <td>1.000</td>
                <td>0.153</td>
              </tr>
              <tr>
                <td>Scale Efﬁciency</td>
                <td>0.940</td>
                <td>0.752</td>
                <td>1.000</td>
                <td>0.085</td>
              </tr>
              <tr>
                <td>Panel E: 2004</td>
                <td></td>
                <td></td>
                <td></td>
                <td></td>
              </tr>
              <tr>
                <td>Technical Efﬁciency</td>
                <td>0.963</td>
                <td>0.764</td>
                <td>1.000</td>
                <td>0.097</td>
              </tr>
              <tr>
                <td>Pure Technical Efﬁciency</td>
                <td>0.982</td>
                <td>0.769</td>
                <td>1.000</td>
                <td>0.098</td>
              </tr>
              <tr>
                <td>Scale Efﬁciency</td>
                <td>0.979</td>
                <td>0.949</td>
                <td>1.000</td>
                <td>0.018</td>
              </tr>
              <tr>
                <td>Panel F: Finance Companies</td>
                <td></td>
                <td></td>
                <td></td>
                <td></td>
              </tr>
              <tr>
                <td>All Years</td>
                <td></td>
                <td></td>
                <td></td>
                <td></td>
              </tr>
              <tr>
                <td>Technical Efﬁciency</td>
                <td>0.795</td>
                <td>0.324</td>
                <td>1.000</td>
                <td>0.189</td>
              </tr>
              <tr>
                <td>Pure Technical Efﬁciency</td>
                <td>0.882</td>
                <td>0.517</td>
                <td>1.000</td>
                <td>0.161</td>
              </tr>
              <tr>
                <td>Scale Efﬁciency</td>
                <td>0.900</td>
                <td>0.512</td>
                <td>1.000</td>
                <td>0.130</td>
              </tr>
            </tbody>
          </table>
        </table-wrap>
        <table-wrap id="tbl8">
          <label>Table 8</label>
          <caption><title>Composition of Production Frontiers (DEA Model B)</title></caption>
          <table>
            <tbody>
              <tr>
                <td>Bank</td>
                <td>Type</td>
                <td>2000</td>
                <td>2001</td>
                <td>2002</td>
                <td>2003</td>
                <td>2004</td>
                <td>Count</td>
              </tr>
              <tr>
                <td>Afﬁn Merchant Bank</td>
                <td>MB</td>
                <td>IRS</td>
                <td>DRS</td>
                <td>DRS</td>
                <td>CRS</td>
                <td>CRS</td>
                <td>2</td>
              </tr>
              <tr>
                <td>Afﬁn-ACF Finance</td>
                <td>FC</td>
                <td>DRS</td>
                <td>DRS</td>
                <td>DRS</td>
                <td>DRS</td>
                <td>IRS</td>
                <td>0</td>
              </tr>
              <tr>
                <td>Alliance Finance</td>
                <td>FC</td>
                <td></td>
                <td>DRS</td>
                <td>DRS</td>
                <td>DRS</td>
                <td>CRS</td>
                <td>1</td>
              </tr>
              <tr>
                <td>Alliance Merchant Bank</td>
                <td>MB</td>
                <td></td>
                <td>DRS</td>
                <td>DRS</td>
                <td>IRS</td>
                <td>IRS</td>
                <td>0</td>
              </tr>
              <tr>
                <td>Arab-Malaysian Finance</td>
                <td>FC</td>
                <td>CRS</td>
                <td>DRS</td>
                <td>DRS</td>
                <td>DRS</td>
                <td>DRS</td>
                <td>1</td>
              </tr>
              <tr>
                <td>Arab-Malaysian Merchant</td>
                <td>MB</td>
                <td>CRS</td>
                <td>DRS</td>
                <td>DRS</td>
                <td>DRS</td>
                <td>CRS</td>
                <td>2</td>
              </tr>
              <tr>
                <td>Bank</td>
                <td></td>
                <td></td>
                <td></td>
                <td></td>
                <td></td>
                <td></td>
                <td></td>
              </tr>
              <tr>
                <td>Aseambankers</td>
                <td>MB</td>
                <td>CRS</td>
                <td>DRS</td>
                <td>CRS</td>
                <td>CRS</td>
                <td>CRS</td>
                <td>4</td>
              </tr>
              <tr>
                <td>Bumiputra-Commerce Finance</td>
                <td>FC</td>
                <td>CRS</td>
                <td>CRS</td>
                <td>DRS</td>
                <td>DRS</td>
                <td>CRS</td>
                <td>3</td>
              </tr>
              <tr>
                <td>Commerce International</td>
                <td>MB</td>
                <td>CRS</td>
                <td>CRS</td>
                <td>CRS</td>
                <td>CRS</td>
                <td>DRS</td>
                <td>4</td>
              </tr>
              <tr>
                <td>Merchant Bankers</td>
                <td></td>
                <td></td>
                <td></td>
                <td></td>
                <td></td>
                <td></td>
                <td></td>
              </tr>
              <tr>
                <td>EON Finance Berhad</td>
                <td>FC</td>
                <td>CRS</td>
                <td>DRS</td>
                <td>DRS</td>
                <td>DRS</td>
                <td></td>
                <td>1</td>
              </tr>
              <tr>
                <td>Hong Leong Finance</td>
                <td>FC</td>
                <td>DRS</td>
                <td>DRS</td>
                <td>DRS</td>
                <td>IRS</td>
                <td>DRS</td>
                <td>0</td>
              </tr>
              <tr>
                <td>Malaysian International</td>
                <td>MB</td>
                <td>IRS</td>
                <td>CRS</td>
                <td>CRS</td>
                <td></td>
                <td></td>
                <td>2</td>
              </tr>
              <tr>
                <td>Merchant Bankers</td>
                <td></td>
                <td></td>
                <td></td>
                <td></td>
                <td></td>
                <td></td>
                <td></td>
              </tr>
              <tr>
                <td>Mayban Finance</td>
                <td>FC</td>
                <td>DRS</td>
                <td>DRS</td>
                <td>DRS</td>
                <td>CRS</td>
                <td>CRS</td>
                <td>2</td>
              </tr>
              <tr>
                <td>Public Finance</td>
                <td>FC</td>
                <td>DRS</td>
                <td>CRS</td>
                <td>CRS</td>
                <td>CRS</td>
                <td></td>
                <td>3</td>
              </tr>
              <tr>
                <td>Public Merchant Bank</td>
                <td>MB</td>
                <td></td>
                <td>CRS</td>
                <td>CRS</td>
                <td>CRS</td>
                <td>CRS</td>
                <td>4</td>
              </tr>
              <tr>
                <td>RHB Delta Finance</td>
                <td>FC</td>
                <td></td>
                <td>IRS</td>
                <td>DRS</td>
                <td>CRS</td>
                <td>CRS</td>
                <td>2</td>
              </tr>
              <tr>
                <td>RHB Sakura Merchant Bankers</td>
                <td>MB</td>
                <td>CRS</td>
                <td>CRS</td>
                <td>CRS</td>
                <td>DRS</td>
                <td>CRS</td>
                <td>4</td>
              </tr>
              <tr>
                <td>Southern Finance</td>
                <td>FC</td>
                <td>DRS</td>
                <td>DRS</td>
                <td>DRS</td>
                <td>DRS</td>
                <td>IRS</td>
                <td>0</td>
              </tr>
              <tr>
                <td>Southern Investment Bank</td>
                <td>MB</td>
                <td>CRS</td>
                <td>IRS</td>
                <td>IRS</td>
                <td>CRS</td>
                <td>IRS</td>
                <td>2</td>
              </tr>
              <tr>
                <td>Utama Merchant Bank</td>
                <td>MB</td>
                <td>IRS</td>
                <td>DRS</td>
                <td>CRS</td>
                <td>CRS</td>
                <td>CRS</td>
                <td>3</td>
              </tr>
              <tr>
                <td>Number of NBFI</td>
                <td>n</td>
                <td>8</td>
                <td>6</td>
                <td>7</td>
                <td>9</td>
                <td>10</td>
                <td></td>
              </tr>
            </tbody>
          </table>
        </table-wrap>
        <p>Note: CRS – (Constant Returns to Scale); DRS – (Decreasing Returns to Scale); IRS – (Increasing Returns to Scale); The NBFIs corresponds to the shaded regions which have not been efﬁcient in any year in the sample period (2001-2005) compared to the other NBFIs in the sample; MB – Merchant Bank; FC – Finance Company</p>
        <p>Next, the composition of the efﬁciency frontier and the nature of the returns to scale for DEA Model B are discussed. Table 8 presents the results of the nature of returns to scale in the Malaysian NBFI sector, derived from DEA Model B. Unlike the results from DEA Model A, the composition of the efﬁciency frontier for DEA Model B suggests that the number of 100 percent efﬁcient NBFIs had increased substantially to between six and ten NBFIs. The results from DEA Model B are very much similar to those from DEA Model A, where the merchant banks seem to have dominated the efﬁciency frontier. It is apparent from Table 8 that the global leaders under DEA Model B have increased to four merchant banks, while there was only one merchant bank that failed to appear on the efﬁciency frontier throughout the period of study. Unlike DEA Model A, the results from DEA Model B suggest that seven ﬁnance companies have managed to appear on the efﬁciency frontier, while there were only three ﬁnance companies that have never made it to the efﬁciency frontier throughout the period of study.</p>
        <table-wrap id="tbl9">
          <label>Table 9</label>
          <caption><title>Summary of the Null Hypothesis Tests of Identical Technologies between Merchant Banks and Finance Companies</title></caption>
          <table>
            <thead>
              <tr>
                <th colspan="6">The table present results from the parametric (ANOVA and t-test) and nonparametric (Kolmogorov-Smirnov, Mann-Whitney and Kruskall-Wallis) tests. The tests are</th>
              </tr>
              <tr>
                <th colspan="6">performed to test the null hypothesis that domestic and foreign banks are drawn from the same population (environment). Test methodology follows among others, Aly</th>
              </tr>
              <tr>
                <th colspan="2">et al. (1990), Elyasiani and Mehdian (1992), and Isik and Hassan (2002).</th>
                <th colspan="4"></th>
              </tr>
              <tr>
                <th>***</th>
                <th colspan="5"></th>
              </tr>
              <tr>
                <th>indicate signiﬁcant at the 5% level.</th>
                <th colspan="5"></th>
              </tr>
              <tr>
                <th colspan="2"></th>
                <th colspan="2">Test Groups</th>
                <th colspan="2"></th>
              </tr>
              <tr>
                <th>Parametric Test</th>
                <th colspan="2"></th>
                <th>Non-Parametric Test</th>
                <th colspan="2"></th>
              </tr>
              <tr>
                <th>Individual</th>
                <th>Analysis of Variance</th>
                <th>t-test</th>
                <th>Kolmogorov-Smirnov [K-S] test</th>
                <th>Mann-Whitney [Wilcoxon</th>
                <th>Kruskall-Wallis Equality of</th>
              </tr>
              <tr>
                <th>Tests</th>
                <th>(ANOVA) test</th>
                <th></th>
                <th>Rank-Sum] test</th>
                <th colspan="2">Populations test</th>
              </tr>
              <tr>
                <th>Hypotheses</th>
                <th>Meanmb = Meanfc</th>
                <th>Distributionmb = Distributionfc</th>
                <th colspan="2">Medianmb = Medianfc</th>
                <th></th>
              </tr>
              <tr>
                <th>Test Statistics</th>
                <th>F (Prb &gt; F)</th>
                <th>t (Prb &gt; t)</th>
                <th>K-S (Prb &gt; K-S)</th>
                <th>z (Prb &gt; z)</th>
                <th>χ2 (Prb &gt; χ2)</th>
              </tr>
              <tr>
                <th>Panel A: 2000</th>
                <th colspan="5"></th>
              </tr>
              <tr>
                <th>TE Model A</th>
                <th>15.606***</th>
                <th>-3.950***</th>
                <th>1.572***</th>
                <th>8.500***</th>
                <th>7.316***</th>
              </tr>
            </thead>
            <tbody>
              <tr>
                <td>TE Model B 0.851 -0.922</td>
                <td>1.000</td>
                <td></td>
                <td>21.500</td>
                <td></td>
                <td>1.387</td>
              </tr>
              <tr>
                <td>PTE Model A 1.107 -1.052</td>
                <td>0.857</td>
                <td></td>
                <td>22.000</td>
                <td></td>
                <td>2.128</td>
              </tr>
              <tr>
                <td>PTE Model B 0.083 -0.289</td>
                <td>0.500</td>
                <td></td>
                <td>26.000</td>
                <td></td>
                <td>0.524</td>
              </tr>
              <tr>
                <td>SE Model A 14.699*** -3.834***</td>
                <td>1.601***</td>
                <td></td>
                <td>7.500***</td>
                <td></td>
                <td>7.868***</td>
              </tr>
              <tr>
                <td>SE Model B 1.318 -1.148</td>
                <td>0.750</td>
                <td></td>
                <td>22.500</td>
                <td></td>
                <td>1.136</td>
              </tr>
              <tr>
                <td>Panel B: 2001</td>
                <td></td>
                <td></td>
                <td></td>
                <td></td>
                <td></td>
              </tr>
              <tr>
                <td>TE Model A 0.634*** -3.678***</td>
                <td>1.342</td>
                <td></td>
                <td>11.500***</td>
                <td></td>
                <td>8.541***</td>
              </tr>
              <tr>
                <td>TE Model B 0.045 -0.213</td>
                <td>0.671</td>
                <td></td>
                <td>44.000</td>
                <td></td>
                <td>0.211</td>
              </tr>
              <tr>
                <td>PTE Model A 0.040 -0.996</td>
                <td>0.671</td>
                <td></td>
                <td>35.000</td>
                <td></td>
                <td>1.541</td>
              </tr>
              <tr>
                <td>PTE Model B 0.051 -0.225</td>
                <td>0.447</td>
                <td></td>
                <td>44.000</td>
                <td></td>
                <td>0.283</td>
              </tr>
              <tr>
                <td>SE Model A 17.639*** -4.200***</td>
                <td>1.565***</td>
                <td></td>
                <td>12.000***</td>
                <td></td>
                <td>8.314***</td>
              </tr>
              <tr>
                <td>SE Model B 0.095 -0.308</td>
                <td>0.447</td>
                <td></td>
                <td>47.000 (continued) Panel C: 2002 TE Model A 19.470*** TE Model B 3.911 PTE Model A 0.053 PTE Model B 1.530 SE Model A 42.959*** SE Model B 3.494 Panel D: 2003 TE Model A 0.021 TE Model B 0.866 PTE Model A 0.614 PTE Model B 0.489 SE Model A 0.140 SE Model B 0.034 Panel E: 2004 TE Model A 0.198 TE Model B 0.168 PTE Model A 1.149 PTE Model B 0.816 SE Model A 1.564 SE Model B 2.158</td>
                <td>-4.412*** 1.565*** -1.978 1.342 -0.230 0.671 -1.237 0.894 -6.554*** 2.012*** -1.869 1.342 -0.147 0.991 -0.753 0.798 -0.783 0.822 -0.699 0.822 0.374 1.016 -0.185 0.547 0.445 0.657 0.409 0.457 -1.072 0.572 -0.903 0.514 1.250 0.915 1.469 0.686</td>
                <td>0.053 11.000*** 8.824*** 24.000 4.033*** 40.000 0.685 34.000 1.753 2.000*** 13.367*** 28.000 2.887 37.000 0.427 33.000 1.073 31.000 1.460 33.000 1.190 32.000 1.128 33.000 1.074 32.500 0.114 35.000 0.012 28.000 0.743 33.000 0.150 24.000 1.333 36.000 0.000</td>
              </tr>
            </tbody>
          </table>
        </table-wrap>
      </sec>
      <sec id="sec4-3">
        <label>4.3</label>
        <title>Univariate Results</title>
        <p>After examining the DEA results, the issue of interest now is whether the two samples are drawn from the same population (i.e., whether the merchant banks and ﬁnancial companies possess the same technology). The null hypothesis tested is that the merchant banks and ﬁnancial companies are drawn from the same population or environment, having identical technologies. We have tested the null hypothesis by using a series of parametric (ANOVA and t-test) and non-parametric [Kolmogorov- Smirnov, Mann-Whitney, (Wilcoxon Rank-Sum), and Kruskall-Wallis] univariate tests. The results are presented in Table 9. Based on most of the results for DEA Model A, we failed to reject the null hypothesis at the 5 percent levels of signiﬁcance that the merchant banks and the ﬁnancial companies are drawn from the same population having identical technologies, while the results for DEA Model B failed to reject the null hypothesis during all years. This implies that there is no signiﬁcant difference between the merchant banks and the ﬁnancial companies’ technologies (frontiers); thus, it is appropriate to construct a combined frontier. Furthermore, the results from the Levene’s test for equality of variances do not reject the null hypothesis that the variances among the merchant banks and the ﬁnancial companies are equal, implying that we can assume the variances between both groups to be equal.</p>
      </sec>
    </sec>
    <sec id="sec5">
      <label>5</label>
      <title>Conclusion</title>
      <p>The preferred, non-parametric Data Envelopment Analysis (DEA) methodology allowed us to distinguish between three different types of efﬁciency: technical, pure technical, and scale efﬁciencies. During the period of study, the results suggested that the Malaysian merchant banks exhibited a mean technical efﬁciency of 69.6 percent, while the ﬁnancial companies have exhibited a lower mean technical efﬁciency of 44.7 percent. Overall, the results suggest that scale inefﬁciency dominates pure technical inefﬁciency effects in determining Malaysian NBFIs’ total technical inefﬁciency. The ﬁndings also seem to suggest that scale efﬁciency tends to be much more sensitive to the exclusion of risk factors, implying that potential economies of scale may be overestimated when risk factors are excluded. The empirical ﬁndings clearly demonstrate the importance of risk in explaining ﬁnancial institutions’ efﬁciency, particularly scale efﬁciency. If anything could be deduced from the results, the exclusion of risk factors may signiﬁcantly overestimate the ﬁnancial institutions potential economies of scale, which could result in bias conclusions and policy recommendations. The ﬁndings are important for policy makers in its quest to consolidate the banking system further to achieve greater economies of scale and efﬁciency. As the actual potential economies of scale may signiﬁcantly be lower than initially expected, policy makers should be more cautious in promoting mergers as a mean to achieve greater efﬁciency by attaining better economies of scale.</p>
      <p>Author statement: Fadzlan Suﬁan is afﬁliated with the research department of a local bank, the CIMB Bank Berhad and is a staff member of the The University of Malaysia. E--mail: fadzlan14@gmail.com.</p>
    </sec>
  </body>
  <back>
    <ref-list>
      <title>References</title>
      <ref id="ref1"><mixed-citation>Altunbas, Y., Liu, M-H., Molyneux, P., and Seth, R. (2000). Efﬁciency and Risk in Japanese Banking, Journal of Banking and Finance 24 (10): 1605-1628.</mixed-citation></ref>
      <ref id="ref2"><mixed-citation>Aly, H.Y., Grabowski, R., Pasurka, C. and Rangan, N., (1990). Technical, Scale and Allocative Efﬁciencies in U.S. Banking: An Empirical Investigation, Review of Economics and Statistics 72 (2): 211-218.</mixed-citation></ref>
      <ref id="ref3"><mixed-citation>Avkiran, N.K., (2002). Productivity Analysis in the Service Sector with Data Envelopment Analysis. Camira: N.K. Avkiran.</mixed-citation></ref>
      <ref id="ref4"><mixed-citation>Barr, R. and Siems, T., (1994). Predicting Bank Failure Using DEA to Quantify Management Quality, Working Paper, Federal Reserve Bank of Dallas.</mixed-citation></ref>
      <ref id="ref5"><mixed-citation>Benston, G.J., (1965). Branch Banking and Economies of Scale, The Journal of Finance 20 (2): 312-331.</mixed-citation></ref>
      <ref id="ref6"><mixed-citation>Berger, A.N and Humphrey, D.B., (1992). Measurement and Efﬁciency Issues in Commercial Banking, in Z.Griliches, (eds.), Measurement Issues in the Service Sectors. National Bureau of Economic Research: University of Chicago Press, 245-279.</mixed-citation></ref>
      <ref id="ref7"><mixed-citation>Berger, A.N. and Humphrey, D.B., (1997). Efﬁciency of Financial Institutions: International Survey and Directions for Future Research, European Journal of Operational Research 98 (2): 175-212.</mixed-citation></ref>
      <ref id="ref8"><mixed-citation>Berger, A.N. and Mester, L.J., (1997). Inside the Black Box: What Explains Differences in the Efﬁciencies of Financial Institutions, Journal of Banking and Finance 21 (7): 895-947.</mixed-citation></ref>
      <ref id="ref9"><mixed-citation>Charnes, A., Cooper, W.W., Huang, Z.M., and Sun, D.B., (1990). Polyhedral Cone – Ratio DEA Models with an Illustrative Application to Large Commercial Banks, Journal of Econometrics 46 (1-2): 73-91.</mixed-citation></ref>
      <ref id="ref10"><mixed-citation>Coelli, T., (1996). A Guide to DEAP Version 2.1, CEPA Working Paper 8/96, University of New England, Armidale, Australia.</mixed-citation></ref>
      <ref id="ref11"><mixed-citation>Coelli, T., Rao, D.S.P. and Batesse, G.E., (1998). An Introduction to Efﬁciency and Productivity Analysis. Boston, MA: Kluwer Academic Publishers.</mixed-citation></ref>
      <ref id="ref12"><mixed-citation>Cooper, W.W., Seiford, L.M., and Tone, K., (2000). Data Envelopment Analysis. Boston: Kluwer Academic Publishers.</mixed-citation></ref>
      <ref id="ref13"><mixed-citation>Das, A., and Ghosh, S., (2006). Financial Deregulation and Efﬁciency: An Empirical Analysis of Indian Banks During the Post Reform Period, Review of Financial Economics 15 (3): 193-221.</mixed-citation></ref>
      <ref id="ref14"><mixed-citation>Dermiguc-Kunt, A., (1989). Deposit Institutions Failure: A Review of the Empirical Literature, Federal Reserve Bank of Cleveland Economic Review 25 (4): 218.</mixed-citation></ref>
      <ref id="ref15"><mixed-citation>Drake, L., and Hall, M.J.B., (2003). Efﬁciency in Japanese Banking: An Empirical Analysis, Journal of Banking and Finance 27 (3): 891-917.</mixed-citation></ref>
      <ref id="ref16"><mixed-citation>Elyasiani, E., and Mehdian, S., (1992), Productive Efﬁciency Performance of Minority and Non-Minority Owned Banks: A Non-Parametric Approach, Journal of Banking and Finance 16 (5): 933-948.</mixed-citation></ref>
      <ref id="ref17"><mixed-citation>Isik, I., and Hassan, M.K., (2002). Technical, Scale and Allocative Efﬁciencies of Turkish Banking Industry, Journal of Banking and Finance 26 (4): 719-766.</mixed-citation></ref>
      <ref id="ref18"><mixed-citation>Katib, M. N., and Mathews, K., (2000). A Non-Parametric Approach to Efﬁciency Measurement in the Malaysian Banking Sector, The Singapore Economic Review 44 (2): 89-114.</mixed-citation></ref>
      <ref id="ref19"><mixed-citation>Kolari, J., and Zardkoohi, A., (1987). Bank Costs, Structure and Performance. Lexington Books: USA.</mixed-citation></ref>
      <ref id="ref20"><mixed-citation>Levine, R., (2004). Finance and Growth: Theory, Evidence &amp; Mechanism,in Aghion, P. and Durlauf, S., (eds), Handbook of Economic Growth, Amsterdam: NorthHolland, pp. 81, in Reforming Corporate Governance in Southeast Asia, by</mixed-citation></ref>
      <ref id="ref21"><mixed-citation>Khai Leong Ho (2005), published by Institute of Southeast Asian Studies.</mixed-citation></ref>
      <ref id="ref22"><mixed-citation>McKinnon, P.I., (1973). Money and Capital in Economic Development, Washington D.C., The Banking Institution.</mixed-citation></ref>
      <ref id="ref23"><mixed-citation>Okuda, H., and Hashimoto, H., (2004). Estimating Cost Functions of Malaysian Commercial Banks: The Differential Effects of Size, Location and Ownership, Asian Economic Journal 18 (3): 233-259.</mixed-citation></ref>
      <ref id="ref24"><mixed-citation>Rajan R.G., and Zingales, L., (1998). Financial Dependence and Growth, American Economic Review 88 (2): 559-586.</mixed-citation></ref>
      <ref id="ref25"><mixed-citation>Sealey, C., and Lindley, J.T., (1977). Inputs, Outputs and a Theory of Production and Cost at Depository Financial Institutions, Journal of Finance 32 (4): 1251-1266.</mixed-citation></ref>
      <ref id="ref26"><mixed-citation>Shaw, E.S., (1973). Financial Deepening in Economic Development, New York, Oxford University Press.</mixed-citation></ref>
      <ref id="ref27"><mixed-citation>Singh, C., (2005). Financial Sector Reforms and State of Indian Economy, Indian Journal of Economics &amp; Business 4 (1): 88-133.</mixed-citation></ref>
      <ref id="ref28"><mixed-citation>Suﬁan F., (2007). Trends in the Efﬁciency of Singapore’s Commercial Banking Groups: A NonStochastic Frontier DEA Window Analysis Approach, International Journal of Productivity and Performance Management 56 (2): 99–136.</mixed-citation></ref>
      <ref id="ref29"><mixed-citation>Thanassoulis, E., (2001). Introduction to the Theory and Application of Data Envelopment Analysis. Kluwer Academic Publishers: Boston.</mixed-citation></ref>
      <ref id="ref30"><mixed-citation>Weill, L., (2007) Is there a Gap in Bank Efﬁciency between CEE and Western European Countries? Comparative Economic Studies 49 (1): 101–127.</mixed-citation></ref>
      <ref id="ref31"><mixed-citation>Whalen, G., (1991). A Proportional Hazards Model of Bank Failure: An Examination of its Usefulness as an Early Warning Tool, Federal Reserve Bank of Cleveland Economic Review 27 (1): 21–31.</mixed-citation></ref>
      <ref id="ref32"><mixed-citation>Wheelock, D.C., and Wilson, P.W., (1995). Explaining Bank Failures: Deposit Insurance, Regulation and Efﬁciency, Review of Economics and Statistics 77 (4): 689-700.</mixed-citation></ref>
    </ref-list>
  </back>
</article>
