<?xml version="1.0" encoding="UTF-8"?><!DOCTYPE article PUBLIC "-//NLM//DTD Journal Publishing DTD v3.0 20080202//EN" "http://dtd.nlm.nih.gov/publishing/3.0/journalpublishing3.dtd">
<article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" dtd-version="3.0" xml:lang="en" article-type="research article">
 <front>
  <journal-meta>
   <journal-id journal-id-type="publisher-id">
    jfrm
   </journal-id>
   <journal-title-group>
    <journal-title>
     Journal of Financial Risk Management
    </journal-title>
   </journal-title-group>
   <issn pub-type="epub">
    2167-9533
   </issn>
   <issn publication-format="print">
    2167-9541
   </issn>
   <publisher>
    <publisher-name>
     Scientific Research Publishing
    </publisher-name>
   </publisher>
  </journal-meta>
  <article-meta>
   <article-id pub-id-type="doi">
    10.4236/jfrm.2025.143017
   </article-id>
   <article-id pub-id-type="publisher-id">
    jfrm-145884
   </article-id>
   <article-categories>
    <subj-group subj-group-type="heading">
     <subject>
      Articles
     </subject>
    </subj-group>
    <subj-group subj-group-type="Discipline-v2">
     <subject>
      Business 
     </subject>
     <subject>
       Economics
     </subject>
    </subj-group>
   </article-categories>
   <title-group>
    Enhancing Efficiency of Pension Schemes through Effective Risk Governance: A Kenyan Perspective
   </title-group>
   <contrib-group>
    <contrib contrib-type="author" xlink:type="simple">
     <name name-style="western">
      <surname>
       Sylvester Willys
      </surname>
      <given-names>
       Namagwa
      </given-names>
     </name>
    </contrib>
   </contrib-group> 
   <aff id="affnull">
    <addr-line>
     aDepartment of Finance and Accounting, Faculty of Business and Management Science, University of Nairobi, Nairobi, Kenya
    </addr-line> 
   </aff> 
   <pub-date pub-type="epub">
    <day>
     14
    </day> 
    <month>
     07
    </month>
    <year>
     2025
    </year>
   </pub-date> 
   <volume>
    14
   </volume> 
   <issue>
    03
   </issue>
   <fpage>
    304
   </fpage>
   <lpage>
    324
   </lpage>
   <history>
    <date date-type="received">
     <day>
      20,
     </day>
     <month>
      August
     </month>
     <year>
      2025
     </year>
    </date>
    <date date-type="published">
     <day>
      20,
     </day>
     <month>
      August
     </month>
     <year>
      2025
     </year> 
    </date> 
    <date date-type="accepted">
     <day>
      20,
     </day>
     <month>
      September
     </month>
     <year>
      2025
     </year> 
    </date>
   </history>
   <permissions>
    <copyright-statement>
     © Copyright 2014 by authors and Scientific Research Publishing Inc. 
    </copyright-statement>
    <copyright-year>
     2014
    </copyright-year>
    <license>
     <license-p>
      This work is licensed under the Creative Commons Attribution International License (CC BY). http://creativecommons.org/licenses/by/4.0/
     </license-p>
    </license>
   </permissions>
   <abstract>
    The efficiency of Kenya’s pension schemes invites elevated interest owing to the increasing pension contribution amounts and the expectation that benefits paid out of these schemes would protect members from old age poverty. The study investigates the intervening effect of risk management on the relationship between corporate governance and the efficiency of pension schemes in Kenya. The study employs panel data consisting of 896 observations from 128 schemes in a sample period from 2015 to 2021. The study finds that risk management significantly mediates the relationship between employee representatives on the board of trustees, as a component of corporate governance, and the efficiency of pension schemes. Consequently, the mediation effect of risk management indicates that when employee representatives are involved in governance, the presence of strong risk management practices ensures that their contributions lead to improved efficiency. Risk management, therefore, serves as a critical safeguard that enables governance structures to function more effectively and contribute to the overall performance of the scheme. 
   </abstract>
   <kwd-group> 
    <kwd>
     Risk Management
    </kwd> 
    <kwd>
      Corporate Governance
    </kwd> 
    <kwd>
      Efficiency of Firms
    </kwd> 
    <kwd>
      Retirement Benefits
    </kwd> 
    <kwd>
      Pension Schemes
    </kwd> 
    <kwd>
      Board of Trustees
    </kwd> 
    <kwd>
      Old-Age Poverty
    </kwd> 
    <kwd>
      Sustainability 
    </kwd>
   </kwd-group>
  </article-meta>
 </front>
 <body>
  <sec id="s1">
   <title>1. Introduction</title>
   <sec id="s1_1">
    <title>1.1. Background</title>
    <p>Globally, retirement assets are growing remarkably, suggesting a renewed focus on retirement security. While the OECD countries registered an 8.5% growth in their retirement assets in 2024 (<xref ref-type="bibr" rid="scirp.145884-24">
      OECD, 2024
     </xref>), Kenya’s assets hit 20% (<xref ref-type="bibr" rid="scirp.145884-16">
      KNBS, 2025
     </xref>). However, pension schemes invariably face a dilemma on where and how to manage their savings to sustainably achieve the highest level of efficiency in a risk-return trade-off (<xref ref-type="bibr" rid="scirp.145884-5">
      Berardi &amp; Tebaldi, 2024
     </xref>). They strive for a balance between growth-oriented investments and risk management strategies like overfunding to ensure both long-term growth and security for retirees (<xref ref-type="bibr" rid="scirp.145884-4">
      Barone-Adesi et al., 2025
     </xref>). Effective risk management is crucial for ensuring the long-term sustainability of schemes (<xref ref-type="bibr" rid="scirp.145884-6">
      Bocchialini et al., 2025
     </xref>) and the well-being of their members to bridge protection gaps in retirement benefits (<xref ref-type="bibr" rid="scirp.145884-25">
      OECD, 2025
     </xref>).</p>
    <p>Risk management involves the initiatives that firms take to price, influence, and accurately reward their exposure to a risky business environment. <xref ref-type="bibr" rid="scirp.145884-12">
      Jefferson (2023)
     </xref> argues that effective risk management in pension schemes obtains if participants wield financial expertise. However, it is not practicable for every scheme member to have financial literacy (<xref ref-type="bibr" rid="scirp.145884-8">
      Castagno et al., 2025
     </xref>), especially in developing countries like Kenya. The emergence of corporate governance as the bit and bridle that investors, through their boards, use to rein in on their managers (<xref ref-type="bibr" rid="scirp.145884-23">
      OECD, 2023
     </xref>) suffices for scheme members who have no financial literacy. Boards can implement strong governance practices that leverage innovative strategies like overfunding (<xref ref-type="bibr" rid="scirp.145884-4">
      Barone-Adesi et al., 2025
     </xref>) to improve retirement outcomes while safeguarding the interests of their members.</p>
    <p>Further, boards make decisions that structure risk profiles of their firms to influence efficiency and reward inputs (<xref ref-type="bibr" rid="scirp.145884-9">
      Cheng, 2024
     </xref>). Corporate governance has a risk management toolkit that helps boards to weave an optimal trade-off between the cost of risk control and the likely losses from risk crystallization (<xref ref-type="bibr" rid="scirp.145884-2">
      Anton et al., 2025
     </xref>; <xref ref-type="bibr" rid="scirp.145884-7">
      Bonyi &amp; Stewart, 2019
     </xref>; <xref ref-type="bibr" rid="scirp.145884-19">
      Masanja, 2021
     </xref>). This study investigates the intervening role of risk management in the relationship between corporate governance and efficiency of pension schemes in Kenya, and demonstrates that risk management is not just a compliance exercise, but a vital component of good governance that directly contributes to the success and sustainability of pension schemes.</p>
   </sec>
   <sec id="s1_2">
    <title>1.2. Problem Statement</title>
    <p>Risk management in the Kenyan pension industry is yet to attract profound academic interest despite facing a significant demographic shift with both an aging population and increasing urbanization (<xref ref-type="bibr" rid="scirp.145884-28">
      World Bank Group, 2019
     </xref>) pointing to a looming need for sufficient retirement income. Efficient pension schemes are crucial for ensuring sufficient income replacement for retiring scheme members (<xref ref-type="bibr" rid="scirp.145884-5">
      Berardi &amp; Tebaldi, 2024
     </xref>), and therefore the failure of these schemes portends a humiliating retirement life for the elderly, most of whom rely on retirement income as their only source of income (<xref ref-type="bibr" rid="scirp.145884-27">
      Ouma et al., 2025
     </xref>). Remarkably, failure of governance systems to manage risks is increasingly linked to corporate failures (<xref ref-type="bibr" rid="scirp.145884-7">
      Bonyi &amp; Stewart, 2019
     </xref>; <xref ref-type="bibr" rid="scirp.145884-14">
      Khan et al., 2018
     </xref>; <xref ref-type="bibr" rid="scirp.145884-19">
      Masanja, 2021
     </xref>; <xref ref-type="bibr" rid="scirp.145884-22">
      OECD, 2014
     </xref>).</p>
    <p>Pension schemes are involved in long-term investments with the possibility of asset values varying from their projections, making risk management vital for achieving actuarial fairness in benefit pay-outs (<xref ref-type="bibr" rid="scirp.145884-12">
      Jefferson, 2023
     </xref>). Further, when Boards of Trustees effectively manage risks, the returns to the scheme are optimized (<xref ref-type="bibr" rid="scirp.145884-13">
      Katto &amp; Musaali, 2019
     </xref>). However, just like <xref ref-type="bibr" rid="scirp.145884-12">
      Jefferson (2023)
     </xref>, <xref ref-type="bibr" rid="scirp.145884-15">
      Kiwanuka (2019)
     </xref> observes that the effectiveness of the trustees depends majorly on their skillsets and the regulation regime under which they operate. How, then, should the boards be structured to be effective? The traditional corporation runs on a contract between its owners and their managers, against which its governance structures are framed. Yet the business of pension schemes in Kenya confounds this bipartite governance template, and instead introduces an intricate network of relationships across the value web of the schemes’ business operations with a retinue of service providers and advisors with multiple decision nodes that attract risk exposure.</p>
    <p>Studies conducted to demystify the role of risk management in the efficiency of firms arise with various gaps and with inconclusive results as of the role of risk management in the relationship between corporate governance and the efficiency of pension schemes in Kenya. For instance, some find a negative relationship (<xref ref-type="bibr" rid="scirp.145884-11">
      González et al., 2020
     </xref>; <xref ref-type="bibr" rid="scirp.145884-21">
      Naibaho &amp; Mayayogini, 2023
     </xref>) while others find positive links (<xref ref-type="bibr" rid="scirp.145884-1">
      Al-Nimer et al., 2021
     </xref>; <xref ref-type="bibr" rid="scirp.145884-10">
      Florio &amp; Leoni, 2017
     </xref>; <xref ref-type="bibr" rid="scirp.145884-18">
      Malik et al., 2020
     </xref>; <xref ref-type="bibr" rid="scirp.145884-26">
      Ondiba et al., 2024
     </xref>; <xref ref-type="bibr" rid="scirp.145884-29">
      Yang et al., 2018
     </xref>). The reminder of the paper is structured as follows: The next section will cover an empirical review followed by research methodolgy, findings and discussion, conclusions and recommendations, and end with areas of further research.</p>
    <sec id="s1">
     <title>2. Empirical Review</title>
     <p>
      <xref ref-type="bibr" rid="scirp.145884-1">
       Al-Nimer et al. (2021)
      </xref> examine the relationship between risk management and firm performance on 228 financial firms in Jordan and find a positive relationship. However, this study presents three gaps. First, the reliance upon cross-sectional data whose character does not provide room to correct for unobserved endogeneity. Second, the study ignores the conceptual utility of regulation in financial firms despite its role in structuring and influencing their risk profiles. Third, Jordan’s socio-economic parameters are different from Kenya’s, including the size of the economy and the sophistication of the financial sectors. <xref ref-type="bibr" rid="scirp.145884-10">
       Florio and Leoni (2017)
      </xref> find a positive correlation between ERM implementation and firm performance, both in terms of financial performance and market evaluation. However, the study’s findings are specific to Italian listed companies, and the results might not be generalizable to other contexts, such as pension schemes.</p>
     <p>
      <xref ref-type="bibr" rid="scirp.145884-11">
       González et al. (2020)
      </xref> find that ERM has no relation with performance of listed firms in Spain. Yet the study shows a conceptual limitation with regard to missing variables that could potentially mediate the relationship between ERM and firm performance. Theoretically, firms create strategic value not only when they are sensitive to the operating environment, but also when they optimize their resources (<xref ref-type="bibr" rid="scirp.145884-2">
       Anton et al., 2025
      </xref>). In contrast, <xref ref-type="bibr" rid="scirp.145884-29">
       Yang et al. (2018)
      </xref> find a positive relationship between risk management practices and performance of Small and Medium Enterprises (SMEs) in Pakistan. However, the singular focus on SMEs predisposes the study to sampling bias against firms of different dispositions. <xref ref-type="bibr" rid="scirp.145884-26">
       Ondiba et al. (2024)
      </xref> find that risk management has a significant positive influence on performance of agricultural State corporations in Kenya breeding the contextual contrast with the pension industry.</p>
     <p>
      <xref ref-type="bibr" rid="scirp.145884-18">
       Malik et al. (2020)
      </xref> find a significant and positive influence of ERM on firm performance particularly through board-level risk committee as a governance mechanism on listed firms in the UK. However, the study exhibits a gap regarding the contextual disparity between UK and Kenya, the former being a developed country with a more sophisticated governance system. <xref ref-type="bibr" rid="scirp.145884-21">
       Naibaho and Mayayogini (2023)
      </xref> find a mixed result while determining the impact of various risk management parameters on firm performance with corporate governance as the moderating variable. This study had limitations with regard to the inclusion of firms which did not meet the reasearch criteria in addition to using foreign proxies as a prdictor for corporate governance.</p>
     <p>
      <xref ref-type="bibr" rid="scirp.145884-20">
       Mitei et al. (2025)
      </xref> determine the effect of management innovativeness and growth of pension schemes in Nairobi and find that management innovativeness has a significant positive influence on the growth of pension schemes. The study emerges with a conceptual gap in neglecting the role of risk management, the assessment of which determines the adoption of innovations in firms (<xref ref-type="bibr" rid="scirp.145884-2">
       Anton et al., 2025
      </xref>). The current study bridges the aforementioned gaps by examining the mediating role of risk management in the relationship between corporate governance and efficiency of pension schemes in Kenya.</p>
    </sec>
    <sec id="s2_3">
     <title>Conceptual Framework</title>
     <p>The conceptual model, depicted in <xref ref-type="fig" rid="fig1">
       Figure 1
      </xref>, illustrates the relationships between the variables within the research framework. Corporate governance as the dependent variable is operationalised based on board diversity i.e. proportion of female members, scheme members, top management, and independent members on the board of trustees.</p>
     <fig id="fig1" position="float">
      <label>Figure 1</label>
      <caption>
       <title>
        <xref ref-type="bibr" rid="scirp.145884-"></xref>Figure 1. Conceptual model.</title>
      </caption>
      <graphic mimetype="image" position="float" xlink:type="simple" xlink:href="https://html.scirp.org/file/2411024-rId13.jpeg?20250923024447" />
     </fig>
     <p>Risk management, as the intervening variable, structures the schemes’ risk profiles through risk oversight structure and risk reporting system and it is measured upon the degree of development of these infrastructures in each scheme. Risk management in each scheme was quantified on a scale of 1 - 5 based on disclosures about the presence of risk management oversight structure and culture, control systems, reporting and communication systems, risk strategy, and risk assessment initiatives. Efficiency as the dependent variable is determined through Data Envelopment Analysis (DEA) using annual administration and investment costs as inputs, while return on investments and change in scheme assets as outputs.</p>
    </sec>
   </sec>
   <sec id="s3">
    <title>3. Research Methodology</title>
    <p>
     <xref ref-type="bibr" rid="scirp.145884-"></xref>Quantitative research design was adopted to describe the position of variables and establish the extent of their relationships while panel research design is adopted to track performance changes among pension schemes from 2015 to 2021. The study used stratified sampling along Occupational schemes, Individual schemes, and Umbrella schemes to sample 128 pension schemes from the 1189 schemes in the Retirement Benefits Authority’s register, all providing 896 observations. The study used secondary data from various reports and audited financial statements of the sampled schemes.</p>
    <p>Multiple regression models were used to assess the intervening effect of risk management in the relationship between corporate governance and the efficiency of pension schemes, adopting Baron and Kenny (<xref ref-type="bibr" rid="scirp.145884-3">
      Baron &amp; Kenny, 1986
     </xref>). Here, four steps were pursued to examine the intervening effect of risk management using the models below.</p>
    <p>The first step seeks to evaluate the independent and dependent variables’ correlations to determine if there exists a relationship that can be mediated.</p>
    <p>
     <xref ref-type="bibr" rid="scirp.145884-"></xref> 
     <math display="inline" xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> 
       <msub> 
        <mrow> 
         <mtext>
           EF 
         </mtext> 
        </mrow> 
        <mi>
          i 
        </mi> 
       </msub> 
       <mo>
         = 
       </mo> 
       <msub> 
        <mi>
          β 
        </mi> 
        <mn>
          0 
        </mn> 
       </msub> 
       <mo>
         + 
       </mo> 
       <msub> 
        <mi>
          β 
        </mi> 
        <mi>
          i 
        </mi> 
       </msub> 
       <mtext>
         CG 
       </mtext> 
       <mo>
         + 
       </mo> 
       <msub> 
        <mi>
          ε 
        </mi> 
        <mi>
          i 
        </mi> 
       </msub> 
      </mrow> 
     </math> (3.1)</p>
    <p>
     <math display="inline" xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> 
       <mtext>
         RRAI 
       </mtext> 
       <mo>
         = 
       </mo> 
       <msub> 
        <mi>
          β 
        </mi> 
        <mn>
          0 
        </mn> 
       </msub> 
       <mo>
         + 
       </mo> 
       <msub> 
        <mi>
          β 
        </mi> 
        <mi>
          i 
        </mi> 
       </msub> 
       <mtext>
         CG 
       </mtext> 
       <mo>
         + 
       </mo> 
       <msub> 
        <mi>
          ε 
        </mi> 
        <mi>
          i 
        </mi> 
       </msub> 
      </mrow> 
     </math> (3.2)</p>
    <p>where:</p>
    <p>EF<sub>i</sub>/RRAI: Pension schemes/technical efficiency scores.</p>
    <p>Mgt: Top management on board.</p>
    <p>β<sub>0</sub>: Regression constant or intercept.</p>
    <p>Mb: Employee representatives on board.</p>
    <p>β<sub>i</sub>: Regression coefficients of variable i.</p>
    <p>Fm: Female board members.</p>
    <p>ε<sub>i</sub>: Error term.</p>
    <p>Im: Independent board members.</p>
    <p>In the second step, regression analysis is done to examine the relationship between corporate governance and risk management, ignoring the dependent variable, efficiency of pension schemes using the following model:</p>
    <p>
     <math display="inline" xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> 
       <mtext>
         Rm 
       </mtext> 
       <mo>
         = 
       </mo> 
       <msub> 
        <mi>
          β 
        </mi> 
        <mn>
          0 
        </mn> 
       </msub> 
       <mo>
         + 
       </mo> 
       <msub> 
        <mi>
          β 
        </mi> 
        <mi>
          i 
        </mi> 
       </msub> 
       <mtext>
         CG 
       </mtext> 
       <mo>
         + 
       </mo> 
       <msub> 
        <mi>
          ε 
        </mi> 
        <mi>
          i 
        </mi> 
       </msub> 
      </mrow> 
     </math> (3.3)</p>
    <p>where:</p>
    <p>Rm: The level of development of risk management architecture</p>
    <p>In the third step, regression analysis is done to establish the relationship between efficiency of pension schemes and risk management while ignoring the independent variable, corporate governance using this model:</p>
    <p>
     <math display="inline" xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> 
       <msub> 
        <mrow> 
         <mtext>
           EF 
         </mtext> 
        </mrow> 
        <mi>
          i 
        </mi> 
       </msub> 
       <mo>
         = 
       </mo> 
       <msub> 
        <mi>
          β 
        </mi> 
        <mn>
          0 
        </mn> 
       </msub> 
       <mo>
         + 
       </mo> 
       <msub> 
        <mi>
          β 
        </mi> 
        <mn>
          1 
        </mn> 
       </msub> 
       <mtext>
         Rm 
       </mtext> 
       <mo>
         + 
       </mo> 
       <msub> 
        <mi>
          ε 
        </mi> 
        <mi>
          i 
        </mi> 
       </msub> 
      </mrow> 
     </math> (3.4)</p>
    <p>
     <math display="inline" xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> 
       <mtext>
         RRAI 
       </mtext> 
       <mo>
         = 
       </mo> 
       <msub> 
        <mi>
          β 
        </mi> 
        <mn>
          0 
        </mn> 
       </msub> 
       <mo>
         + 
       </mo> 
       <msub> 
        <mi>
          β 
        </mi> 
        <mn>
          1 
        </mn> 
       </msub> 
       <mtext>
         Rm 
       </mtext> 
       <mo>
         + 
       </mo> 
       <msub> 
        <mi>
          ε 
        </mi> 
        <mi>
          i 
        </mi> 
       </msub> 
      </mrow> 
     </math> (3.5)</p>
    <p>where:</p>
    <p>EF<sub>i</sub>, β<sub>0</sub>, β<sub>i</sub>, ε<sub>i</sub> and RRAI is as defined above.</p>
    <p>The final step in analysing the intervener involves a joint regression analysis of the three variables, efficiency of pension schemes, risk management and corporate governance.</p>
    <p>
     <math display="inline" xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> 
       <msub> 
        <mrow> 
         <mtext>
           EF 
         </mtext> 
        </mrow> 
        <mi>
          i 
        </mi> 
       </msub> 
       <mo>
         = 
       </mo> 
       <msub> 
        <mi>
          β 
        </mi> 
        <mn>
          0 
        </mn> 
       </msub> 
       <mo>
         + 
       </mo> 
       <msub> 
        <mi>
          β 
        </mi> 
        <mn>
          1 
        </mn> 
       </msub> 
       <mtext>
         CG 
       </mtext> 
       <mo>
         + 
       </mo> 
       <msub> 
        <mi>
          β 
        </mi> 
        <mn>
          2 
        </mn> 
       </msub> 
       <mtext>
         Rm 
       </mtext> 
       <mo>
         + 
       </mo> 
       <msub> 
        <mi>
          ε 
        </mi> 
        <mi>
          i 
        </mi> 
       </msub> 
      </mrow> 
     </math> (3.6)</p>
    <p>
     <math display="inline" xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> 
       <mtext>
         RRAI 
       </mtext> 
       <mo>
         = 
       </mo> 
       <msub> 
        <mi>
          β 
        </mi> 
        <mn>
          0 
        </mn> 
       </msub> 
       <mo>
         + 
       </mo> 
       <msub> 
        <mi>
          β 
        </mi> 
        <mn>
          1 
        </mn> 
       </msub> 
       <mtext>
         CG 
       </mtext> 
       <mo>
         + 
       </mo> 
       <msub> 
        <mi>
          β 
        </mi> 
        <mn>
          2 
        </mn> 
       </msub> 
       <mtext>
         Rm 
       </mtext> 
       <mo>
         + 
       </mo> 
       <msub> 
        <mi>
          ε 
        </mi> 
        <mi>
          i 
        </mi> 
       </msub> 
      </mrow> 
     </math> (3.7)</p>
    <p>where:</p>
    <p>EF<sub>i</sub>, β<sub>0</sub>, β<sub>i</sub>, ε<sub>i</sub> and RRAI are as defined above.</p>
    <p>The study employed R<sup>2</sup> to assess the intervening variable variation due to the effects of the independent variable. To assess the model fit, the F-Test was used to test the significance of the model while T-Test was used to evaluate the significance of the beta coefficient of the predictor variable. If the relationship between Corporate Governance and Efficiency of pension schemes became statistically significant when Risk Management is controlled for; then full mediation was inferred. In case the relationship between Corporate Governance and Efficiency of pension schemes became statistically significant when Risk Management is controlled for, then partial mediation was presumed to have obtained. In other words, Intervention would obtain if corporate governance predicted efficiency of pension schemes, corporate governance predicted risk management, risk management predicted efficiency of pension schemes, and corporate governance predicted efficiency of pension schemes when risk management was in the model.</p>
    <p>If the p-value from the mediation analysis shows a value less than 0.05, the null hypothesis (H<sub>01</sub>) was rejected. This would mean that risk management has a significant intervening (mediating) effect on the relationship between corporate governance and the efficiency of pension schemes.</p>
   </sec>
   <sec id="s4">
    <title>4. Findings and Discussion</title>
    <p>This research aimed to establish the intervening effect of risk management on the association between corporate governance and efficiency of pension schemes in Kenya. This objective integrates the various aspects of corporate governance along with the roles of risk management to determine their combined influence on efficiency as shown in the hypothesis and sub-hypotheses below.</p>
    <p>
     <xref ref-type="bibr" rid="scirp.145884-"></xref>H<sub>01</sub>: Risk management has no intervening effect on the relationship between corporate governance and efficiency of pension schemes in Kenya.</p>
    <p>H<sub>01a</sub>: Risk management has no intervening effect on the relationship between top management on board and efficiency of pension schemes in Kenya.</p>
    <p>H<sub>01b</sub>: Risk management has no intervening effect on the relationship between employee board members and efficiency of pension schemes in Kenya.</p>
    <p>H<sub>01c</sub>: Risk management has no intervening effect on the relationship between female board members and efficiency of pension schemes in Kenya.</p>
    <p>H<sub>01d</sub>: Risk management has no intervening effect on the relationship between independent board members and efficiency of pension schemes in Kenya.</p>
    <p>Multiple regression analyses were carried out in four phases, with the significance of the coefficients assessed at each stage. The first two phases utilized simple linear regression, whereas the third and fourth steps used multiple regressions. The first step evaluates the independent and dependent variables’ correlations to demonstrate that the predictor and dependent variables are related. A statistically significant relationship should exist to determine that a relationship exists that can be mediated. The second step estimates the association between the independent and mediator variables to show that the independent variable and the mediator are correlated. This stage essentially requires treating the mediator as an outcome variable.</p>
    <p>The third step involves the control for the independent variable and estimate the connection among the intervening and the criterion variable to show that the mediator affects the dependent variable. The final step demonstrates that the connection among the independent and criterion variables is insignificant in the mediator’s presence. The effect of the independent variable on the dependent variable should be zero when controlling for the mediator, indicating that the mediator mediates the independent-dependent variable relationship. The <xref ref-type="bibr" rid="scirp.145884-3">
      Baron and Kenny (1986)
     </xref> approach for testing mediation presumes that the independent variable predicts the dependent variable significantly.</p>
    <p>H<sub>01a</sub>: Risk management has no intervening effect on the relationship between top management on board and efficiency of pension schemes in Kenya.</p>
    <p>The objective of the study examines the intervening effect of risk management on the relationship between top management on the board and the efficiency of pension schemes in Kenya by testing the above hypothesis.</p>
    <p>Step 1: Top Management on Board and Efficiency</p>
    <p>The first step examines the direct relationship between top management on board (LNMgtR) and efficiency without considering risk management as a mediator. <xref ref-type="table" rid="table1">
      Table 1
     </xref> shows that the coefficient for LNMgtR is −0.01113, with a t-value of −0.07 and a P-value of 0.944. The R-squared (within) value is 0.0000, indicating that the model explains virtually none of the variation in efficiency. The relationship is statistically insignificant, suggesting that top management representation on the board does not directly influence the efficiency of pension schemes. However, significant direct mediation (<xref ref-type="bibr" rid="scirp.145884-3">
      Baron &amp; Kenny, 1986
     </xref>) is no longer a strict requirement for establishing mediation since contemporary approaches assess the indirect effect directly (<xref ref-type="bibr" rid="scirp.145884-17">
      MacKinnon, Fairchild, &amp; Fritz, 2007
     </xref>), such as through bootstrapping.</p>
    <table-wrap id="table1">
     <label>
      <xref ref-type="table" rid="table1">
       Table 1
      </xref></label>
     <caption>
      <title>
       <xref ref-type="bibr" rid="scirp.145884-"></xref>Table 1. Top management on board and efficiency.</title>
     </caption>
     <table class="MsoTableGrid custom-table" border="0" cellspacing="0" cellpadding="0"> 
      <tr> 
       <td class="acenter" width="37.28%" colspan="3"><p style="text-align:center">Fixed-effects (within) regression</p></td> 
       <td class="acenter" width="27.10%" colspan="3"><p style="text-align:center">Number of obs</p></td> 
       <td class="acenter" width="15.26%" colspan="2"><p style="text-align:center">=</p></td> 
       <td class="acenter" width="20.38%" colspan="2"><p style="text-align:center">896</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="37.28%" colspan="3"><p style="text-align:center">Group variable: Scheme</p></td> 
       <td class="acenter" width="27.10%" colspan="3"><p style="text-align:center">Number of groups</p></td> 
       <td class="acenter" width="15.26%" colspan="2"><p style="text-align:center">=</p></td> 
       <td class="acenter" width="20.38%" colspan="2"><p style="text-align:center">128</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="37.28%" colspan="3"><p style="text-align:center">R-sq:</p></td> 
       <td class="acenter" width="27.10%" colspan="3"><p style="text-align:center">Obs per group:</p></td> 
       <td class="acenter" width="15.26%" colspan="2"><p style="text-align:center"></p></td> 
       <td class="acenter" width="20.38%" colspan="2"><p style="text-align:center"></p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="37.28%" colspan="3"><p style="text-align:center">within = 0.0000</p></td> 
       <td class="acenter" width="27.10%" colspan="3"><p style="text-align:center">min</p></td> 
       <td class="acenter" width="15.26%" colspan="2"><p style="text-align:center">=</p></td> 
       <td class="acenter" width="20.38%" colspan="2"><p style="text-align:center">7</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="37.28%" colspan="3"><p style="text-align:center">between = 0.0027</p></td> 
       <td class="acenter" width="27.10%" colspan="3"><p style="text-align:center">avg</p></td> 
       <td class="acenter" width="15.26%" colspan="2"><p style="text-align:center">=</p></td> 
       <td class="acenter" width="20.38%" colspan="2"><p style="text-align:center">7</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="37.28%" colspan="3"><p style="text-align:center">overall = 0.0009</p></td> 
       <td class="acenter" width="27.10%" colspan="3"><p style="text-align:center">max</p></td> 
       <td class="acenter" width="15.26%" colspan="2"><p style="text-align:center">=</p></td> 
       <td class="acenter" width="20.38%" colspan="2"><p style="text-align:center">7</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="37.28%" colspan="3"><p style="text-align:center"></p></td> 
       <td class="acenter" width="27.10%" colspan="3"><p style="text-align:center">F(1, 767)</p></td> 
       <td class="acenter" width="15.26%" colspan="2"><p style="text-align:center">=</p></td> 
       <td class="acenter" width="20.38%" colspan="2"><p style="text-align:center">0</p></td> 
      </tr> 
      <tr> 
       <td class="custom-bottom-td acenter" width="37.28%" colspan="3"><p style="text-align:center">corr(u_i, Xb) = 0.0408</p></td> 
       <td class="custom-bottom-td acenter" width="27.10%" colspan="3"><p style="text-align:center">Prob &gt; F</p></td> 
       <td class="custom-bottom-td acenter" width="15.26%" colspan="2"><p style="text-align:center">=</p></td> 
       <td class="custom-bottom-td acenter" width="20.38%" colspan="2"><p style="text-align:center">0.9441</p></td> 
      </tr> 
      <tr> 
       <td class="custom-bottom-td custom-top-td acenter" width="15.54%"><p style="text-align:center">Efficiency</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="15.52%"><p style="text-align:center">Coef.</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="17.02%" colspan="2"><p style="text-align:center">Std. Err.</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="11.24%"><p style="text-align:center">t</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="10.16%" colspan="2"><p style="text-align:center">P &gt; t</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="15.26%" colspan="2"><p style="text-align:center">[95% Conf.</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="15.28%"><p style="text-align:center">Interval]</p></td> 
      </tr> 
      <tr> 
       <td class="custom-top-td acenter" width="15.54%"><p style="text-align:center">LNMgtR</p></td> 
       <td class="custom-top-td acenter" width="15.52%"><p style="text-align:center">−0.01113</p></td> 
       <td class="custom-top-td acenter" width="17.02%" colspan="2"><p style="text-align:center">0.158567</p></td> 
       <td class="custom-top-td acenter" width="11.24%"><p style="text-align:center">−0.07</p></td> 
       <td class="custom-top-td acenter" width="10.16%" colspan="2"><p style="text-align:center">0.944</p></td> 
       <td class="custom-top-td acenter" width="15.26%" colspan="2"><p style="text-align:center">−0.32241</p></td> 
       <td class="custom-top-td acenter" width="15.28%"><p style="text-align:center">0.300146</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="15.54%"><p style="text-align:center">_cons</p></td> 
       <td class="acenter" width="15.52%"><p style="text-align:center">−0.9683</p></td> 
       <td class="acenter" width="17.02%" colspan="2"><p style="text-align:center">0.260286</p></td> 
       <td class="acenter" width="11.24%"><p style="text-align:center">−3.72</p></td> 
       <td class="acenter" width="10.16%" colspan="2"><p style="text-align:center">0.000</p></td> 
       <td class="acenter" width="15.26%" colspan="2"><p style="text-align:center">−1.47926</p></td> 
       <td class="acenter" width="15.28%"><p style="text-align:center">−0.45734</p></td> 
      </tr> 
     </table>
    </table-wrap>
    <p>Step 2: Top Management on Board and Risk Management</p>
    <p>The second step evaluates the relationship between top management on board (LNMgtR) and risk management (LNRM). <xref ref-type="table" rid="table2">
      Table 2
     </xref> shows that the coefficient for LNMgtR is −0.15173, with a t-value of −3.75 and a P-value of 0.000. The R-squared (within) value is 0.0180, indicating that about 1.80% of the variability in risk management practices can be explained by top management representation on the board. The negative and statistically significant coefficient suggests that higher representation of top management on the board is associated with lower levels of risk management, implying a potential conflict or oversight issue in risk management practices.</p>
    <table-wrap id="table2">
     <label>
      <xref ref-type="table" rid="table2">
       Table 2
      </xref></label>
     <caption>
      <title>
       <xref ref-type="bibr" rid="scirp.145884-"></xref>Table 2. Top management and risk management.</title>
     </caption>
     <table class="MsoTableGrid custom-table" border="0" cellspacing="0" cellpadding="0"> 
      <tr> 
       <td class="acenter" width="36.64%" colspan="3"><p style="text-align:center">Fixed-effects (within) regression</p></td> 
       <td class="acenter" width="25.86%" colspan="3"><p style="text-align:center">Number of obs</p></td> 
       <td class="acenter" width="13.92%" colspan="2"><p style="text-align:center">=</p></td> 
       <td class="acenter" width="23.58%" colspan="2"><p style="text-align:center">896</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="36.64%" colspan="3"><p style="text-align:center">Group variable: Scheme</p></td> 
       <td class="acenter" width="25.86%" colspan="3"><p style="text-align:center">Number of groups</p></td> 
       <td class="acenter" width="13.92%" colspan="2"><p style="text-align:center">=</p></td> 
       <td class="acenter" width="23.58%" colspan="2"><p style="text-align:center">128</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="36.64%" colspan="3"><p style="text-align:center">R-sq:</p></td> 
       <td class="acenter" width="25.86%" colspan="3"><p style="text-align:center">Obs per group:</p></td> 
       <td class="acenter" width="13.92%" colspan="2"><p style="text-align:center"></p></td> 
       <td class="acenter" width="23.58%" colspan="2"><p style="text-align:center"></p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="36.64%" colspan="3"><p style="text-align:center">within = 0.0180</p></td> 
       <td class="acenter" width="25.86%" colspan="3"><p style="text-align:center">min</p></td> 
       <td class="acenter" width="13.92%" colspan="2"><p style="text-align:center">=</p></td> 
       <td class="acenter" width="23.58%" colspan="2"><p style="text-align:center">7</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="36.64%" colspan="3"><p style="text-align:center">between = 0.0167</p></td> 
       <td class="acenter" width="25.86%" colspan="3"><p style="text-align:center">avg</p></td> 
       <td class="acenter" width="13.92%" colspan="2"><p style="text-align:center">=</p></td> 
       <td class="acenter" width="23.58%" colspan="2"><p style="text-align:center">7</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="36.64%" colspan="3"><p style="text-align:center">overall = 0.0009</p></td> 
       <td class="acenter" width="25.86%" colspan="3"><p style="text-align:center">max</p></td> 
       <td class="acenter" width="13.92%" colspan="2"><p style="text-align:center">=</p></td> 
       <td class="acenter" width="23.58%" colspan="2"><p style="text-align:center">7</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="36.64%" colspan="3"><p style="text-align:center"></p></td> 
       <td class="acenter" width="25.86%" colspan="3"><p style="text-align:center">F(1, 767)</p></td> 
       <td class="acenter" width="13.92%" colspan="2"><p style="text-align:center">=</p></td> 
       <td class="acenter" width="23.58%" colspan="2"><p style="text-align:center">14.07</p></td> 
      </tr> 
      <tr> 
       <td class="custom-bottom-td acenter" width="36.64%" colspan="3"><p style="text-align:center">corr(u_i, Xb) = −0.3202</p></td> 
       <td class="custom-bottom-td acenter" width="25.86%" colspan="3"><p style="text-align:center">Prob &gt; F</p></td> 
       <td class="custom-bottom-td acenter" width="13.92%" colspan="2"><p style="text-align:center">=</p></td> 
       <td class="custom-bottom-td acenter" width="23.58%" colspan="2"><p style="text-align:center">0.0002</p></td> 
      </tr> 
      <tr> 
       <td class="custom-bottom-td custom-top-td acenter" width="15.40%"><p style="text-align:center">LNRM</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="13.26%"><p style="text-align:center">Coef.</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="15.88%" colspan="2"><p style="text-align:center">Std. Err.</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="11.76%"><p style="text-align:center">t</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="11.76%" colspan="2"><p style="text-align:center">P &gt; t</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="16.84%" colspan="2"><p style="text-align:center">[95% Conf.</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="15.08%"><p style="text-align:center">Interval]</p></td> 
      </tr> 
      <tr> 
       <td class="custom-top-td acenter" width="15.40%"><p style="text-align:center">LNMgtR</p></td> 
       <td class="custom-top-td acenter" width="13.26%"><p style="text-align:center">−0.15173</p></td> 
       <td class="custom-top-td acenter" width="15.88%" colspan="2"><p style="text-align:center">0.040446</p></td> 
       <td class="custom-top-td acenter" width="11.76%"><p style="text-align:center">−3.75</p></td> 
       <td class="custom-top-td acenter" width="11.76%" colspan="2"><p style="text-align:center">0.000</p></td> 
       <td class="custom-top-td acenter" width="16.84%" colspan="2"><p style="text-align:center">−0.23113</p></td> 
       <td class="custom-top-td acenter" width="15.08%"><p style="text-align:center">−0.07234</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="15.40%"><p style="text-align:center">_cons</p></td> 
       <td class="acenter" width="13.26%"><p style="text-align:center">0.896432</p></td> 
       <td class="acenter" width="15.88%" colspan="2"><p style="text-align:center">0.066393</p></td> 
       <td class="acenter" width="11.76%"><p style="text-align:center">13.5</p></td> 
       <td class="acenter" width="11.76%" colspan="2"><p style="text-align:center">0.000</p></td> 
       <td class="acenter" width="16.84%" colspan="2"><p style="text-align:center">0.7661</p></td> 
       <td class="acenter" width="15.08%"><p style="text-align:center">1.026765</p></td> 
      </tr> 
     </table>
    </table-wrap>
    <p>Step 3: Risk Management and Efficiency</p>
    <p>The third step investigates the relationship between the mediator (risk management) and the dependent variable (efficiency). <xref ref-type="table" rid="table3">
      Table 3
     </xref> indicates that the coefficient for LNRM is 0.3843364, with a t-value of 2.77 and a P-value of 0.006. The R-squared (within) value is 0.0099, showing that risk management accounts for nearly 1% of the variability in efficiency. The positive and statistically significant coefficient suggests that better risk management practices are associated with higher efficiency in pension schemes.</p>
    <table-wrap id="table3">
     <label>
      <xref ref-type="table" rid="table3">
       Table 3
      </xref></label>
     <caption>
      <title>
       <xref ref-type="bibr" rid="scirp.145884-"></xref>Table 3. Risk management and efficiency.</title>
     </caption>
     <table class="MsoTableGrid custom-table" border="0" cellspacing="0" cellpadding="0"> 
      <tr> 
       <td class="acenter" width="40.66%" colspan="3"><p style="text-align:center">Fixed-effects (within) regression</p></td> 
       <td class="acenter" width="23.74%" colspan="3"><p style="text-align:center">Number of obs</p></td> 
       <td class="acenter" width="13.56%" colspan="2"><p style="text-align:center">=</p></td> 
       <td class="acenter" width="22.04%" colspan="2"><p style="text-align:center">896</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="40.66%" colspan="3"><p style="text-align:center">Group variable: Schemer</p></td> 
       <td class="acenter" width="23.74%" colspan="3"><p style="text-align:center">Number of groups</p></td> 
       <td class="acenter" width="13.56%" colspan="2"><p style="text-align:center">=</p></td> 
       <td class="acenter" width="22.04%" colspan="2"><p style="text-align:center">128</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="40.66%" colspan="3"><p style="text-align:center">R-sq:</p></td> 
       <td class="acenter" width="23.74%" colspan="3"><p style="text-align:center">Obs per group:</p></td> 
       <td class="acenter" width="13.56%" colspan="2"><p style="text-align:center"></p></td> 
       <td class="acenter" width="22.04%" colspan="2"><p style="text-align:center"></p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="40.66%" colspan="3"><p style="text-align:center">within = 0.0099</p></td> 
       <td class="acenter" width="23.74%" colspan="3"><p style="text-align:center">min</p></td> 
       <td class="acenter" width="13.56%" colspan="2"><p style="text-align:center">=</p></td> 
       <td class="acenter" width="22.04%" colspan="2"><p style="text-align:center">7</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="40.66%" colspan="3"><p style="text-align:center">between = 0.0299</p></td> 
       <td class="acenter" width="23.74%" colspan="3"><p style="text-align:center">avg</p></td> 
       <td class="acenter" width="13.56%" colspan="2"><p style="text-align:center">=</p></td> 
       <td class="acenter" width="22.04%" colspan="2"><p style="text-align:center">7</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="40.66%" colspan="3"><p style="text-align:center">overall = 0.0034</p></td> 
       <td class="acenter" width="23.74%" colspan="3"><p style="text-align:center">max</p></td> 
       <td class="acenter" width="13.56%" colspan="2"><p style="text-align:center">=</p></td> 
       <td class="acenter" width="22.04%" colspan="2"><p style="text-align:center">7</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="40.66%" colspan="3"><p style="text-align:center"></p></td> 
       <td class="acenter" width="23.74%" colspan="3"><p style="text-align:center">F(1, 767)</p></td> 
       <td class="acenter" width="13.56%" colspan="2"><p style="text-align:center">=</p></td> 
       <td class="acenter" width="22.04%" colspan="2"><p style="text-align:center">7.66</p></td> 
      </tr> 
      <tr> 
       <td class="custom-bottom-td acenter" width="40.66%" colspan="3"><p style="text-align:center">corr(u_i, Xb) = −0.3433</p></td> 
       <td class="custom-bottom-td acenter" width="23.74%" colspan="3"><p style="text-align:center">Prob &gt; F</p></td> 
       <td class="custom-bottom-td acenter" width="13.56%" colspan="2"><p style="text-align:center">=</p></td> 
       <td class="custom-bottom-td acenter" width="22.04%" colspan="2"><p style="text-align:center">0.0058</p></td> 
      </tr> 
      <tr> 
       <td class="custom-bottom-td custom-top-td acenter" width="16.04%"><p style="text-align:center">Efficiency</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="14.78%"><p style="text-align:center">Coef.</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="14.94%" colspan="2"><p style="text-align:center">Std. Err.</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="10.16%"><p style="text-align:center">t</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="13.56%" colspan="2"><p style="text-align:center">P &gt; t</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="16.96%" colspan="2"><p style="text-align:center">[95% Conf.</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="13.56%"><p style="text-align:center">Interval]</p></td> 
      </tr> 
      <tr> 
       <td class="custom-top-td acenter" width="16.04%"><p style="text-align:center">LNIR</p></td> 
       <td class="custom-top-td acenter" width="14.78%"><p style="text-align:center">0.3843364</p></td> 
       <td class="custom-top-td acenter" width="14.94%" colspan="2"><p style="text-align:center">0.138905</p></td> 
       <td class="custom-top-td acenter" width="10.16%"><p style="text-align:center">2.77</p></td> 
       <td class="custom-top-td acenter" width="13.56%" colspan="2"><p style="text-align:center">0.006</p></td> 
       <td class="custom-top-td acenter" width="16.96%" colspan="2"><p style="text-align:center">0.111658</p></td> 
       <td class="custom-top-td acenter" width="13.56%"><p style="text-align:center">0.657015</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="16.04%"><p style="text-align:center">_cons</p></td> 
       <td class="acenter" width="14.78%"><p style="text-align:center">−1.532897</p></td> 
       <td class="acenter" width="14.94%" colspan="2"><p style="text-align:center">0.212364</p></td> 
       <td class="acenter" width="10.16%"><p style="text-align:center">−7.22</p></td> 
       <td class="acenter" width="13.56%" colspan="2"><p style="text-align:center">0.000</p></td> 
       <td class="acenter" width="16.96%" colspan="2"><p style="text-align:center">−1.94978</p></td> 
       <td class="acenter" width="13.56%"><p style="text-align:center">−1.11601</p></td> 
      </tr> 
     </table>
    </table-wrap>
    <p>
     <xref ref-type="bibr" rid="scirp.145884-"></xref></p>
    <p>Step 4: Top Management on Board, Risk Management and Efficiency</p>
    <p>The final step assesses the relationship between top management on board and efficiency while controlling for risk management. <xref ref-type="table" rid="table4">
      Table 4
     </xref> shows that the coefficient for LNRM remains positive and statistically significant (0.527188, P = 0.000), indicating that risk management continues to have a significant positive effect on efficiency when included in the model. However, the coefficient for LNMgtR is now positive (0.068863) but remains statistically insignificant (P = 0.664), suggesting that the direct influence of top management on efficiency becomes negligible when risk management is accounted for.</p>
    <table-wrap id="table4">
     <label>
      <xref ref-type="table" rid="table4">
       Table 4
      </xref></label>
     <caption>
      <title>
       <xref ref-type="bibr" rid="scirp.145884-"></xref>Table 4. Top management on board, risk management and efficiency.</title>
     </caption>
     <table class="MsoTableGrid custom-table" border="0" cellspacing="0" cellpadding="0"> 
      <tr> 
       <td class="acenter" width="37.32%" colspan="3"><p style="text-align:center">Fixed-effects (within) regression</p></td> 
       <td class="acenter" width="25.20%" colspan="3"><p style="text-align:center">Number of obs</p></td> 
       <td class="acenter" width="13.80%" colspan="2"><p style="text-align:center">=</p></td> 
       <td class="acenter" width="23.70%" colspan="2"><p style="text-align:center">896</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="37.32%" colspan="3"><p style="text-align:center">Group variable: Scheme</p></td> 
       <td class="acenter" width="25.20%" colspan="3"><p style="text-align:center">Number of groups</p></td> 
       <td class="acenter" width="13.80%" colspan="2"><p style="text-align:center">=</p></td> 
       <td class="acenter" width="23.70%" colspan="2"><p style="text-align:center">128</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="37.32%" colspan="3"><p style="text-align:center">R-sq:</p></td> 
       <td class="acenter" width="25.20%" colspan="3"><p style="text-align:center">Obs per group:</p></td> 
       <td class="acenter" width="13.80%" colspan="2"><p style="text-align:center"></p></td> 
       <td class="acenter" width="23.70%" colspan="2"><p style="text-align:center"></p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="37.32%" colspan="3"><p style="text-align:center">within = 0.0181</p></td> 
       <td class="acenter" width="25.20%" colspan="3"><p style="text-align:center">min</p></td> 
       <td class="acenter" width="13.80%" colspan="2"><p style="text-align:center">=</p></td> 
       <td class="acenter" width="23.70%" colspan="2"><p style="text-align:center">7</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="37.32%" colspan="3"><p style="text-align:center">between = 0.0034</p></td> 
       <td class="acenter" width="25.20%" colspan="3"><p style="text-align:center">avg</p></td> 
       <td class="acenter" width="13.80%" colspan="2"><p style="text-align:center">=</p></td> 
       <td class="acenter" width="23.70%" colspan="2"><p style="text-align:center">7</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="37.32%" colspan="3"><p style="text-align:center">overall = 0.0025</p></td> 
       <td class="acenter" width="25.20%" colspan="3"><p style="text-align:center">max</p></td> 
       <td class="acenter" width="13.80%" colspan="2"><p style="text-align:center">=</p></td> 
       <td class="acenter" width="23.70%" colspan="2"><p style="text-align:center">7</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="37.32%" colspan="3"><p style="text-align:center"></p></td> 
       <td class="acenter" width="25.20%" colspan="3"><p style="text-align:center">F(2, 766)</p></td> 
       <td class="acenter" width="13.80%" colspan="2"><p style="text-align:center">=</p></td> 
       <td class="acenter" width="23.70%" colspan="2"><p style="text-align:center">7.06</p></td> 
      </tr> 
      <tr> 
       <td class="custom-bottom-td acenter" width="37.32%" colspan="3"><p style="text-align:center">corr(u_i, Xb) = −0.1574</p></td> 
       <td class="custom-bottom-td acenter" width="25.20%" colspan="3"><p style="text-align:center">Prob &gt; F</p></td> 
       <td class="custom-bottom-td acenter" width="13.80%" colspan="2"><p style="text-align:center">=</p></td> 
       <td class="custom-bottom-td acenter" width="23.70%" colspan="2"><p style="text-align:center">0.0009</p></td> 
      </tr> 
      <tr> 
       <td class="custom-bottom-td custom-top-td acenter" width="15.50%"><p style="text-align:center">Efficiency</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="12.46%"><p style="text-align:center">Coef.</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="16.14%" colspan="2"><p style="text-align:center">Std. Err.</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="9.80%"><p style="text-align:center">t</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="10.54%" colspan="2"><p style="text-align:center">P &gt; t</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="16.96%" colspan="2"><p style="text-align:center">[95% Conf.</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="18.62%"><p style="text-align:center">Interval]</p></td> 
      </tr> 
      <tr> 
       <td class="custom-top-td acenter" width="15.50%"><p style="text-align:center">LNRM</p></td> 
       <td class="custom-top-td acenter" width="12.46%"><p style="text-align:center">0.527188</p></td> 
       <td class="custom-top-td acenter" width="16.14%" colspan="2"><p style="text-align:center">0.140364</p></td> 
       <td class="custom-top-td acenter" width="9.80%"><p style="text-align:center">3.76</p></td> 
       <td class="custom-top-td acenter" width="10.54%" colspan="2"><p style="text-align:center">0.000</p></td> 
       <td class="custom-top-td acenter" width="16.96%" colspan="2"><p style="text-align:center">0.251644</p></td> 
       <td class="custom-top-td acenter" width="18.62%"><p style="text-align:center">0.802731</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="15.50%"><p style="text-align:center">LNMgtR</p></td> 
       <td class="acenter" width="12.46%"><p style="text-align:center">0.068863</p></td> 
       <td class="acenter" width="16.14%" colspan="2"><p style="text-align:center">0.158665</p></td> 
       <td class="acenter" width="9.80%"><p style="text-align:center">0.43</p></td> 
       <td class="acenter" width="10.54%" colspan="2"><p style="text-align:center">0.664</p></td> 
       <td class="acenter" width="16.96%" colspan="2"><p style="text-align:center">−0.24261</p></td> 
       <td class="acenter" width="18.62%"><p style="text-align:center">0.380332</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="15.50%"><p style="text-align:center">_cons</p></td> 
       <td class="acenter" width="12.46%"><p style="text-align:center">−1.44089</p></td> 
       <td class="acenter" width="16.14%" colspan="2"><p style="text-align:center">0.287129</p></td> 
       <td class="acenter" width="9.80%"><p style="text-align:center">−5.02</p></td> 
       <td class="acenter" width="10.54%" colspan="2"><p style="text-align:center">0.000</p></td> 
       <td class="acenter" width="16.96%" colspan="2"><p style="text-align:center">−2.00454</p></td> 
       <td class="acenter" width="18.62%"><p style="text-align:center">−0.87723</p></td> 
      </tr> 
     </table>
    </table-wrap>
    <p>Based on these results, the study concludes that risk management does not have an intervening effect on the relationship between top management on board and efficiency. Therefore, the study fails to reject the null hypothesis H<sub>01a</sub> and confirms that risk management does not mediate the relationship between top management on board and the efficiency of pension schemes in Kenya. This finding highlights the complex role of risk management in bridging the gap between corporate governance practices and organizational efficiency.</p>
    <p>H<sub>01b</sub>: Risk management has no intervening effect on the relationship between employee board members and efficiency of pension schemes in Kenya.</p>
    <p>The objective of the study also examines the intervening effect of risk management on the relationship between employee representatives on the board and the efficiency of pension schemes in Kenya by testing the above hypothesis.</p>
    <p>Step 1: Employee Reps on the Board and Efficiency</p>
    <p>The first step evaluates the direct relationship between employee representatives on the board (LNMbR) and efficiency without considering risk management as a mediator. <xref ref-type="table" rid="table5">
      Table 5
     </xref> shows that the coefficient for LNMbR is 0.948121, with a t-value of 7.77 and a P-value of 0.000. The R-squared (within) value is 0.0730, indicating that about 7.30% of the variation in efficiency can be explained by the proportion of employee representatives on the board. The positive and statistically significant coefficient suggests that higher employee representation on the board is associated with increased efficiency in pension schemes.</p>
    <table-wrap id="table5">
     <label>
      <xref ref-type="table" rid="table5">
       Table 5
      </xref></label>
     <caption>
      <title>
       <xref ref-type="bibr" rid="scirp.145884-"></xref>Table 5. Employee reps on the board and efficiency.</title>
     </caption>
     <table class="MsoTableGrid custom-table" border="0" cellspacing="0" cellpadding="0"> 
      <tr> 
       <td class="acenter" width="36.64%" colspan="3"><p style="text-align:center">Fixed-effects (within) regression</p></td> 
       <td class="acenter" width="25.86%" colspan="3"><p style="text-align:center">Number of obs</p></td> 
       <td class="acenter" width="12.94%" colspan="2"><p style="text-align:center">=</p></td> 
       <td class="acenter" width="24.56%" colspan="2"><p style="text-align:center">896</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="36.64%" colspan="3"><p style="text-align:center">Group variable: Scheme</p></td> 
       <td class="acenter" width="25.86%" colspan="3"><p style="text-align:center">Number of groups</p></td> 
       <td class="acenter" width="12.94%" colspan="2"><p style="text-align:center">=</p></td> 
       <td class="acenter" width="24.56%" colspan="2"><p style="text-align:center">128</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="36.64%" colspan="3"><p style="text-align:center">R-sq:</p></td> 
       <td class="acenter" width="25.86%" colspan="3"><p style="text-align:center">Obs per group:</p></td> 
       <td class="acenter" width="12.94%" colspan="2"><p style="text-align:center"></p></td> 
       <td class="acenter" width="24.56%" colspan="2"><p style="text-align:center"></p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="36.64%" colspan="3"><p style="text-align:center">within = 0.0730</p></td> 
       <td class="acenter" width="25.86%" colspan="3"><p style="text-align:center">min</p></td> 
       <td class="acenter" width="12.94%" colspan="2"><p style="text-align:center">=</p></td> 
       <td class="acenter" width="24.56%" colspan="2"><p style="text-align:center">7</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="36.64%" colspan="3"><p style="text-align:center">between = 0.0171</p></td> 
       <td class="acenter" width="25.86%" colspan="3"><p style="text-align:center">avg</p></td> 
       <td class="acenter" width="12.94%" colspan="2"><p style="text-align:center">=</p></td> 
       <td class="acenter" width="24.56%" colspan="2"><p style="text-align:center">7</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="36.64%" colspan="3"><p style="text-align:center">overall = 0.0037</p></td> 
       <td class="acenter" width="25.86%" colspan="3"><p style="text-align:center">max</p></td> 
       <td class="acenter" width="12.94%" colspan="2"><p style="text-align:center">=</p></td> 
       <td class="acenter" width="24.56%" colspan="2"><p style="text-align:center">7</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="36.64%" colspan="3"><p style="text-align:center"></p></td> 
       <td class="acenter" width="25.86%" colspan="3"><p style="text-align:center">F(1, 767)</p></td> 
       <td class="acenter" width="12.94%" colspan="2"><p style="text-align:center">=</p></td> 
       <td class="acenter" width="24.56%" colspan="2"><p style="text-align:center">60.4</p></td> 
      </tr> 
      <tr> 
       <td class="custom-bottom-td acenter" width="36.64%" colspan="3"><p style="text-align:center">corr(u_i, Xb) = −0.4191</p></td> 
       <td class="custom-bottom-td acenter" width="25.86%" colspan="3"><p style="text-align:center">Prob &gt; F</p></td> 
       <td class="custom-bottom-td acenter" width="12.94%" colspan="2"><p style="text-align:center">=</p></td> 
       <td class="custom-bottom-td acenter" width="24.56%" colspan="2"><p style="text-align:center">0</p></td> 
      </tr> 
      <tr> 
       <td class="custom-bottom-td custom-top-td acenter" width="13.54%"><p style="text-align:center">Efficiency</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="12.44%"><p style="text-align:center">Coef.</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="16.86%" colspan="2"><p style="text-align:center">Std. Err.</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="11.86%"><p style="text-align:center">t</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="11.86%" colspan="2"><p style="text-align:center">P &gt; t</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="16.96%" colspan="2"><p style="text-align:center">[95% Conf.</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="16.48%"><p style="text-align:center">Interval]</p></td> 
      </tr> 
      <tr> 
       <td class="custom-top-td acenter" width="13.54%"><p style="text-align:center">LNMbR</p></td> 
       <td class="custom-top-td acenter" width="12.44%"><p style="text-align:center">0.948121</p></td> 
       <td class="custom-top-td acenter" width="16.86%" colspan="2"><p style="text-align:center">0.122001</p></td> 
       <td class="custom-top-td acenter" width="11.86%"><p style="text-align:center">7.77</p></td> 
       <td class="custom-top-td acenter" width="11.86%" colspan="2"><p style="text-align:center">0.000</p></td> 
       <td class="custom-top-td acenter" width="16.96%" colspan="2"><p style="text-align:center">0.708626</p></td> 
       <td class="custom-top-td acenter" width="16.48%"><p style="text-align:center">1.187617</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="13.54%"><p style="text-align:center">_cons</p></td> 
       <td class="acenter" width="12.44%"><p style="text-align:center">−0.14756</p></td> 
       <td class="acenter" width="16.86%" colspan="2"><p style="text-align:center">0.106563</p></td> 
       <td class="acenter" width="11.86%"><p style="text-align:center">−1.38</p></td> 
       <td class="acenter" width="11.86%" colspan="2"><p style="text-align:center">0.167</p></td> 
       <td class="acenter" width="16.96%" colspan="2"><p style="text-align:center">−0.35675</p></td> 
       <td class="acenter" width="16.48%"><p style="text-align:center">0.061633</p></td> 
      </tr> 
     </table>
    </table-wrap>
    <p>Step 2: Employee Reps on the Board and Risk Management</p>
    <p>The second step examines the relationship between employee representatives on the board (LNMbR) and risk management (LNRM). <xref ref-type="table" rid="table6">
      Table 6
     </xref> indicates that the coefficient for LNMbR is 0.092272, with a t-value of 2.84 and a P-value of 0.005. The R-squared (within) value is 0.0104, suggesting that approximately 1.04% of the variation in risk management practices can be explained by employee board representation. The positive and statistically significant coefficient indicates that higher representation of employee representatives on the board is associated with better risk management practices.</p>
    <table-wrap id="table6">
     <label>
      <xref ref-type="table" rid="table6">
       Table 6
      </xref></label>
     <caption>
      <title>
       <xref ref-type="bibr" rid="scirp.145884-"></xref>Table 6. Employee reps on the board and risk management.</title>
     </caption>
     <table class="MsoTableGrid custom-table" border="0" cellspacing="0" cellpadding="0"> 
      <tr> 
       <td class="acenter" width="36.64%" colspan="3"><p style="text-align:center">Fixed-effects (within) regression</p></td> 
       <td class="acenter" width="28.02%" colspan="3"><p style="text-align:center">Number of obs</p></td> 
       <td class="acenter" width="13.08%" colspan="2"><p style="text-align:center">=</p></td> 
       <td class="acenter" width="22.26%" colspan="2"><p style="text-align:center">896</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="36.64%" colspan="3"><p style="text-align:center">Group variable: Scheme</p></td> 
       <td class="acenter" width="28.02%" colspan="3"><p style="text-align:center">Number of groups</p></td> 
       <td class="acenter" width="13.08%" colspan="2"><p style="text-align:center">=</p></td> 
       <td class="acenter" width="22.26%" colspan="2"><p style="text-align:center">128</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="36.64%" colspan="3"><p style="text-align:center">R-sq:</p></td> 
       <td class="acenter" width="28.02%" colspan="3"><p style="text-align:center">Obs per group:</p></td> 
       <td class="acenter" width="13.08%" colspan="2"><p style="text-align:center"></p></td> 
       <td class="acenter" width="22.26%" colspan="2"><p style="text-align:center"></p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="36.64%" colspan="3"><p style="text-align:center">within = 0.0104</p></td> 
       <td class="acenter" width="28.02%" colspan="3"><p style="text-align:center">min</p></td> 
       <td class="acenter" width="13.08%" colspan="2"><p style="text-align:center">=</p></td> 
       <td class="acenter" width="22.26%" colspan="2"><p style="text-align:center">7</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="36.64%" colspan="3"><p style="text-align:center">between = 0.0727</p></td> 
       <td class="acenter" width="28.02%" colspan="3"><p style="text-align:center">avg</p></td> 
       <td class="acenter" width="13.08%" colspan="2"><p style="text-align:center">=</p></td> 
       <td class="acenter" width="22.26%" colspan="2"><p style="text-align:center">7</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="36.64%" colspan="3"><p style="text-align:center">overall = 0.0372</p></td> 
       <td class="acenter" width="28.02%" colspan="3"><p style="text-align:center">max</p></td> 
       <td class="acenter" width="13.08%" colspan="2"><p style="text-align:center">=</p></td> 
       <td class="acenter" width="22.26%" colspan="2"><p style="text-align:center">7</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="36.64%" colspan="3"><p style="text-align:center"></p></td> 
       <td class="acenter" width="28.02%" colspan="3"><p style="text-align:center">F(1, 767)</p></td> 
       <td class="acenter" width="13.08%" colspan="2"><p style="text-align:center">=</p></td> 
       <td class="acenter" width="22.26%" colspan="2"><p style="text-align:center">8.09</p></td> 
      </tr> 
      <tr> 
       <td class="custom-bottom-td acenter" width="36.64%" colspan="3"><p style="text-align:center">corr(u_i, Xb) = 0.1001</p></td> 
       <td class="custom-bottom-td acenter" width="28.02%" colspan="3"><p style="text-align:center">Prob &gt; F</p></td> 
       <td class="custom-bottom-td acenter" width="13.08%" colspan="2"><p style="text-align:center">=</p></td> 
       <td class="custom-bottom-td acenter" width="22.26%" colspan="2"><p style="text-align:center">0.0046</p></td> 
      </tr> 
      <tr> 
       <td class="custom-bottom-td custom-top-td acenter" width="15.26%"><p style="text-align:center">LNRM</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="13.16%"><p style="text-align:center">Coef.</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="16.96%" colspan="2"><p style="text-align:center">Std. Err.</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="11.80%"><p style="text-align:center">t</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="11.80%" colspan="2"><p style="text-align:center">P &gt; t</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="16.86%" colspan="2"><p style="text-align:center">[95% Conf.</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="14.16%"><p style="text-align:center">Interval]</p></td> 
      </tr> 
      <tr> 
       <td class="custom-top-td acenter" width="15.26%"><p style="text-align:center">LNMbR</p></td> 
       <td class="custom-top-td acenter" width="13.16%"><p style="text-align:center">0.092272</p></td> 
       <td class="custom-top-td acenter" width="16.96%" colspan="2"><p style="text-align:center">0.032446</p></td> 
       <td class="custom-top-td acenter" width="11.80%"><p style="text-align:center">2.84</p></td> 
       <td class="custom-top-td acenter" width="11.80%" colspan="2"><p style="text-align:center">0.005</p></td> 
       <td class="custom-top-td acenter" width="16.86%" colspan="2"><p style="text-align:center">0.028579</p></td> 
       <td class="custom-top-td acenter" width="14.16%"><p style="text-align:center">0.155965</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="15.26%"><p style="text-align:center">_cons</p></td> 
       <td class="acenter" width="13.16%"><p style="text-align:center">1.222239</p></td> 
       <td class="acenter" width="16.96%" colspan="2"><p style="text-align:center">0.02834</p></td> 
       <td class="acenter" width="11.80%"><p style="text-align:center">43.13</p></td> 
       <td class="acenter" width="11.80%" colspan="2"><p style="text-align:center">0</p></td> 
       <td class="acenter" width="16.86%" colspan="2"><p style="text-align:center">1.166605</p></td> 
       <td class="acenter" width="14.16%"><p style="text-align:center">1.277872</p></td> 
      </tr> 
     </table>
    </table-wrap>
    <p>Step 3: Risk Management and Efficiency</p>
    <p>The third step investigates the relationship between the mediator (risk management) and the dependent variable (efficiency). <xref ref-type="table" rid="table7">
      Table 7
     </xref> shows that the coefficient for LNRM is 0.3843364, with a t-value of 2.77 and a P-value of 0.006. The R-squared (within) value is 0.0099, indicating that risk management accounts for nearly 1% of the variability in efficiency. The positive and statistically significant coefficient suggests that effective risk management practices are associated with improved efficiency in pension schemes.</p>
    <table-wrap id="table7">
     <label>
      <xref ref-type="table" rid="table7">
       Table 7
      </xref></label>
     <caption>
      <title>
       <xref ref-type="bibr" rid="scirp.145884-"></xref>Table 7. Risk management and efficiency.</title>
     </caption>
     <table class="MsoTableGrid custom-table" border="0" cellspacing="0" cellpadding="0"> 
      <tr> 
       <td class="acenter" width="41.86%" colspan="3"><p style="text-align:center">Fixed-effects (within) regression</p></td> 
       <td class="acenter" width="24.70%" colspan="3"><p style="text-align:center">Number of obs</p></td> 
       <td class="acenter" width="10.00%" colspan="2"><p style="text-align:center">=</p></td> 
       <td class="acenter" width="23.44%" colspan="2"><p style="text-align:center">896</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="41.86%" colspan="3"><p style="text-align:center">Group variable: Schemer</p></td> 
       <td class="acenter" width="24.70%" colspan="3"><p style="text-align:center">Number of groups</p></td> 
       <td class="acenter" width="10.00%" colspan="2"><p style="text-align:center">=</p></td> 
       <td class="acenter" width="23.44%" colspan="2"><p style="text-align:center">128</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="41.86%" colspan="3"><p style="text-align:center">R-sq:</p></td> 
       <td class="acenter" width="24.70%" colspan="3"><p style="text-align:center">Obs per group:</p></td> 
       <td class="acenter" width="10.00%" colspan="2"><p style="text-align:center"></p></td> 
       <td class="acenter" width="23.44%" colspan="2"><p style="text-align:center"></p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="41.86%" colspan="3"><p style="text-align:center">within = 0.0099</p></td> 
       <td class="acenter" width="24.70%" colspan="3"><p style="text-align:center">min</p></td> 
       <td class="acenter" width="10.00%" colspan="2"><p style="text-align:center">=</p></td> 
       <td class="acenter" width="23.44%" colspan="2"><p style="text-align:center">7</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="41.86%" colspan="3"><p style="text-align:center">between = 0.0299</p></td> 
       <td class="acenter" width="24.70%" colspan="3"><p style="text-align:center">avg</p></td> 
       <td class="acenter" width="10.00%" colspan="2"><p style="text-align:center">=</p></td> 
       <td class="acenter" width="23.44%" colspan="2"><p style="text-align:center">7</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="41.86%" colspan="3"><p style="text-align:center">overall = 0.0034</p></td> 
       <td class="acenter" width="24.70%" colspan="3"><p style="text-align:center">max</p></td> 
       <td class="acenter" width="10.00%" colspan="2"><p style="text-align:center">=</p></td> 
       <td class="acenter" width="23.44%" colspan="2"><p style="text-align:center">7</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="41.86%" colspan="3"><p style="text-align:center"></p></td> 
       <td class="acenter" width="24.70%" colspan="3"><p style="text-align:center">F(1, 767)</p></td> 
       <td class="acenter" width="10.00%" colspan="2"><p style="text-align:center">=</p></td> 
       <td class="acenter" width="23.44%" colspan="2"><p style="text-align:center">7.66</p></td> 
      </tr> 
      <tr> 
       <td class="custom-bottom-td acenter" width="41.86%" colspan="3"><p style="text-align:center">corr(u_i, Xb) = −0.3433</p></td> 
       <td class="custom-bottom-td acenter" width="24.70%" colspan="3"><p style="text-align:center">Prob &gt; F</p></td> 
       <td class="custom-bottom-td acenter" width="10.00%" colspan="2"><p style="text-align:center">=</p></td> 
       <td class="custom-bottom-td acenter" width="23.44%" colspan="2"><p style="text-align:center">0.0058</p></td> 
      </tr> 
      <tr> 
       <td class="custom-bottom-td custom-top-td acenter" width="15.74%"><p style="text-align:center">Efficiency</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="18.22%"><p style="text-align:center">Coef.</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="14.58%" colspan="2"><p style="text-align:center">Std. Err.</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="9.70%"><p style="text-align:center">t</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="13.38%" colspan="2"><p style="text-align:center">P &gt; t</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="17.02%" colspan="2"><p style="text-align:center">[95% Conf.</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="11.36%"><p style="text-align:center">Interval]</p></td> 
      </tr> 
      <tr> 
       <td class="custom-top-td acenter" width="15.74%"><p style="text-align:center">LNIR</p></td> 
       <td class="custom-top-td acenter" width="18.22%"><p style="text-align:center">0.3843364</p></td> 
       <td class="custom-top-td acenter" width="14.58%" colspan="2"><p style="text-align:center">0.138905</p></td> 
       <td class="custom-top-td acenter" width="9.70%"><p style="text-align:center">2.77</p></td> 
       <td class="custom-top-td acenter" width="13.38%" colspan="2"><p style="text-align:center">0.006</p></td> 
       <td class="custom-top-td acenter" width="17.02%" colspan="2"><p style="text-align:center">0.111658</p></td> 
       <td class="custom-top-td acenter" width="11.36%"><p style="text-align:center">0.657015</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="15.74%"><p style="text-align:center">_cons</p></td> 
       <td class="acenter" width="18.22%"><p style="text-align:center">−1.532897</p></td> 
       <td class="acenter" width="14.58%" colspan="2"><p style="text-align:center">0.212364</p></td> 
       <td class="acenter" width="9.70%"><p style="text-align:center">−7.22</p></td> 
       <td class="acenter" width="13.38%" colspan="2"><p style="text-align:center">0.000</p></td> 
       <td class="acenter" width="17.02%" colspan="2"><p style="text-align:center">−1.94978</p></td> 
       <td class="acenter" width="11.36%"><p style="text-align:center">−1.11601</p></td> 
      </tr> 
     </table>
    </table-wrap>
    <p>Step 4: Employee Reps on the Board, Risk Management and Efficiency</p>
    <p>The final step assesses the relationship between employee representatives on the board and efficiency while controlling for risk management. <xref ref-type="table" rid="table8">
      Table 8
     </xref> shows that both LNMbR (0.909724, P = 0.000) and LNRM (0.416135, P = 0.002) remain statistically significant, with positive coefficients. The R-squared (within) value increases to 0.0843, indicating that the inclusion of risk management improves the model’s ability to explain the variation in efficiency. However, the coefficient for LNMbR decreases slightly from 0.948121 in Step 1 to 0.909724 in Step 4, suggesting a partial mediation effect.</p>
    <table-wrap id="table8">
     <label>
      <xref ref-type="table" rid="table8">
       Table 8
      </xref></label>
     <caption>
      <title>
       <xref ref-type="bibr" rid="scirp.145884-"></xref>Table 8. Employee reps on the board, risk management and efficiency.</title>
     </caption>
     <table class="MsoTableGrid custom-table" border="0" cellspacing="0" cellpadding="0"> 
      <tr> 
       <td class="acenter" width="37.26%" colspan="3"><p style="text-align:center">Fixed-effects (within) regression</p></td> 
       <td class="acenter" width="27.40%" colspan="3"><p style="text-align:center">Number of obs</p></td> 
       <td class="acenter" width="15.08%" colspan="2"><p style="text-align:center">=</p></td> 
       <td class="acenter" width="20.26%" colspan="2"><p style="text-align:center">896</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="37.26%" colspan="3"><p style="text-align:center">Group variable: Scheme</p></td> 
       <td class="acenter" width="27.40%" colspan="3"><p style="text-align:center">Number of groups</p></td> 
       <td class="acenter" width="15.08%" colspan="2"><p style="text-align:center">=</p></td> 
       <td class="acenter" width="20.26%" colspan="2"><p style="text-align:center">128</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="37.26%" colspan="3"><p style="text-align:center">R-sq:</p></td> 
       <td class="acenter" width="27.40%" colspan="3"><p style="text-align:center">Obs per group:</p></td> 
       <td class="acenter" width="15.08%" colspan="2"><p style="text-align:center"></p></td> 
       <td class="acenter" width="20.26%" colspan="2"><p style="text-align:center"></p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="37.26%" colspan="3"><p style="text-align:center">within = 0.0843</p></td> 
       <td class="acenter" width="27.40%" colspan="3"><p style="text-align:center">min</p></td> 
       <td class="acenter" width="15.08%" colspan="2"><p style="text-align:center">=</p></td> 
       <td class="acenter" width="20.26%" colspan="2"><p style="text-align:center">7</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="37.26%" colspan="3"><p style="text-align:center">between = 0.0170</p></td> 
       <td class="acenter" width="27.40%" colspan="3"><p style="text-align:center">avg</p></td> 
       <td class="acenter" width="15.08%" colspan="2"><p style="text-align:center">=</p></td> 
       <td class="acenter" width="20.26%" colspan="2"><p style="text-align:center">7</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="37.26%" colspan="3"><p style="text-align:center">overall = 0.0051</p></td> 
       <td class="acenter" width="27.40%" colspan="3"><p style="text-align:center">max</p></td> 
       <td class="acenter" width="15.08%" colspan="2"><p style="text-align:center">=</p></td> 
       <td class="acenter" width="20.26%" colspan="2"><p style="text-align:center">7</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="37.26%" colspan="3"><p style="text-align:center"></p></td> 
       <td class="acenter" width="27.40%" colspan="3"><p style="text-align:center">F(2, 766)</p></td> 
       <td class="acenter" width="15.08%" colspan="2"><p style="text-align:center">=</p></td> 
       <td class="acenter" width="20.26%" colspan="2"><p style="text-align:center">35.28</p></td> 
      </tr> 
      <tr> 
       <td class="custom-bottom-td acenter" width="37.26%" colspan="3"><p style="text-align:center">corr(u_i, Xb) = −0.4328</p></td> 
       <td class="custom-bottom-td acenter" width="27.40%" colspan="3"><p style="text-align:center">Prob &gt; F</p></td> 
       <td class="custom-bottom-td acenter" width="15.08%" colspan="2"><p style="text-align:center">=</p></td> 
       <td class="custom-bottom-td acenter" width="20.26%" colspan="2"><p style="text-align:center">0</p></td> 
      </tr> 
      <tr> 
       <td class="custom-bottom-td custom-top-td acenter" width="14.94%"><p style="text-align:center">Efficiency</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="14.08%"><p style="text-align:center">Coef.</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="14.10%" colspan="2"><p style="text-align:center">Std. Err.</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="12.92%"><p style="text-align:center">t</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="13.50%" colspan="2"><p style="text-align:center">P &gt; t</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="15.22%" colspan="2"><p style="text-align:center">[95% Conf.</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="15.24%"><p style="text-align:center">Interval]</p></td> 
      </tr> 
      <tr> 
       <td class="custom-top-td acenter" width="14.94%"><p style="text-align:center">LNMbR</p></td> 
       <td class="custom-top-td acenter" width="14.08%"><p style="text-align:center">0.909724</p></td> 
       <td class="custom-top-td acenter" width="14.10%" colspan="2"><p style="text-align:center">0.121969</p></td> 
       <td class="custom-top-td acenter" width="12.92%"><p style="text-align:center">7.46</p></td> 
       <td class="custom-top-td acenter" width="13.50%" colspan="2"><p style="text-align:center">0.000</p></td> 
       <td class="custom-top-td acenter" width="15.22%" colspan="2"><p style="text-align:center">0.670292</p></td> 
       <td class="custom-top-td acenter" width="15.24%"><p style="text-align:center">1.149156</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="14.94%"><p style="text-align:center">LNRM</p></td> 
       <td class="acenter" width="14.08%"><p style="text-align:center">0.416135</p></td> 
       <td class="acenter" width="14.10%" colspan="2"><p style="text-align:center">0.135025</p></td> 
       <td class="acenter" width="12.92%"><p style="text-align:center">3.08</p></td> 
       <td class="acenter" width="13.50%" colspan="2"><p style="text-align:center">0.002</p></td> 
       <td class="acenter" width="15.22%" colspan="2"><p style="text-align:center">0.151072</p></td> 
       <td class="acenter" width="15.24%"><p style="text-align:center">0.681198</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="14.94%"><p style="text-align:center">_cons</p></td> 
       <td class="acenter" width="14.08%"><p style="text-align:center">−0.65617</p></td> 
       <td class="acenter" width="14.10%" colspan="2"><p style="text-align:center">0.19613</p></td> 
       <td class="acenter" width="12.92%"><p style="text-align:center">−3.35</p></td> 
       <td class="acenter" width="13.50%" colspan="2"><p style="text-align:center">0.001</p></td> 
       <td class="acenter" width="15.22%" colspan="2"><p style="text-align:center">−1.04119</p></td> 
       <td class="acenter" width="15.24%"><p style="text-align:center">−0.27116</p></td> 
      </tr> 
     </table>
    </table-wrap>
    <p>Based on these results, the study rejects the null hypothesis H<sub>01b</sub>, confirming that risk management does have an intervening effect on the relationship between employee representatives on the board and efficiency. Specifically, while employee representation directly influences efficiency, this relationship is partially mediated by risk management practices. This finding highlights the importance of risk management as a mechanism through which employee involvement in governance enhances the efficiency of pension schemes.</p>
    <p>H<sub>01c</sub>: Risk management has no intervening effect on the relationship between female board members and efficiency of pension schemes in Kenya.</p>
    <p>The objective of the study also sought to explore the intervening effect of risk management on the relationship between female board members and the efficiency of pension schemes in Kenya by testing the above hypothesis.</p>
    <p>Step 1: Female Board Members and Efficiency</p>
    <p>The first step examines the direct relationship between female board members (LNFmR) and efficiency without considering risk management as a mediator. <xref ref-type="table" rid="table9">
      Table 9
     </xref> shows that the coefficient for LNFmR is 0.121684, with a t-value of 1.31 and a P-value of 0.191. The R-squared (within) value is 0.0022, indicating that only 0.22% of the variation in efficiency can be explained by the proportion of female board members. The result is statistically insignificant, suggesting that female representation on the board does not directly influence the efficiency of pension schemes. However, significant direct mediation is no longer a strict requirement in mediation analysis as indicated earlier, so the analysis proceeds to the next step.</p>
    <table-wrap id="table9">
     <label>
      <xref ref-type="table" rid="table9">
       Table 9
      </xref></label>
     <caption>
      <title>
       <xref ref-type="bibr" rid="scirp.145884-"></xref>Table 9. Female board members and efficiency.</title>
     </caption>
     <table class="MsoTableGrid custom-table" border="0" cellspacing="0" cellpadding="0"> 
      <tr> 
       <td class="acenter" width="38.80%" colspan="3"><p style="text-align:center">Fixed-effects (within) regression</p></td> 
       <td class="acenter" width="28.02%" colspan="3"><p style="text-align:center">Number of obs</p></td> 
       <td class="acenter" width="12.92%" colspan="2"><p style="text-align:center">=</p></td> 
       <td class="acenter" width="20.26%" colspan="2"><p style="text-align:center">896</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="38.80%" colspan="3"><p style="text-align:center">Group variable: Scheme</p></td> 
       <td class="acenter" width="28.02%" colspan="3"><p style="text-align:center">Number of groups</p></td> 
       <td class="acenter" width="12.92%" colspan="2"><p style="text-align:center">=</p></td> 
       <td class="acenter" width="20.26%" colspan="2"><p style="text-align:center">128</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="38.80%" colspan="3"><p style="text-align:center">R-sq:</p></td> 
       <td class="acenter" width="28.02%" colspan="3"><p style="text-align:center">Obs per group:</p></td> 
       <td class="acenter" width="12.92%" colspan="2"><p style="text-align:center"></p></td> 
       <td class="acenter" width="20.26%" colspan="2"><p style="text-align:center"></p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="38.80%" colspan="3"><p style="text-align:center">within = 0.0022</p></td> 
       <td class="acenter" width="28.02%" colspan="3"><p style="text-align:center">min</p></td> 
       <td class="acenter" width="12.92%" colspan="2"><p style="text-align:center">=</p></td> 
       <td class="acenter" width="20.26%" colspan="2"><p style="text-align:center">7</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="38.80%" colspan="3"><p style="text-align:center">between = 0.0190</p></td> 
       <td class="acenter" width="28.02%" colspan="3"><p style="text-align:center">avg</p></td> 
       <td class="acenter" width="12.92%" colspan="2"><p style="text-align:center">=</p></td> 
       <td class="acenter" width="20.26%" colspan="2"><p style="text-align:center">7</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="38.80%" colspan="3"><p style="text-align:center">overall = 0.0011</p></td> 
       <td class="acenter" width="28.02%" colspan="3"><p style="text-align:center">max</p></td> 
       <td class="acenter" width="12.92%" colspan="2"><p style="text-align:center">=</p></td> 
       <td class="acenter" width="20.26%" colspan="2"><p style="text-align:center">7</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="38.80%" colspan="3"><p style="text-align:center"></p></td> 
       <td class="acenter" width="28.02%" colspan="3"><p style="text-align:center">F(1, 767)</p></td> 
       <td class="acenter" width="12.92%" colspan="2"><p style="text-align:center">=</p></td> 
       <td class="acenter" width="20.26%" colspan="2"><p style="text-align:center">1.71</p></td> 
      </tr> 
      <tr> 
       <td class="custom-bottom-td acenter" width="38.80%" colspan="3"><p style="text-align:center">corr(u_i, Xb) = −0.1362</p></td> 
       <td class="custom-bottom-td acenter" width="28.02%" colspan="3"><p style="text-align:center">Prob &gt; F</p></td> 
       <td class="custom-bottom-td acenter" width="12.92%" colspan="2"><p style="text-align:center">=</p></td> 
       <td class="custom-bottom-td acenter" width="20.26%" colspan="2"><p style="text-align:center">0.1911</p></td> 
      </tr> 
      <tr> 
       <td class="custom-bottom-td custom-top-td acenter" width="14.76%"><p style="text-align:center">Efficiency</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="16.20%"><p style="text-align:center">Coef.</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="16.20%" colspan="2"><p style="text-align:center">Std. Err.</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="10.18%"><p style="text-align:center">t</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="13.10%" colspan="2"><p style="text-align:center">P &gt; t</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="14.76%" colspan="2"><p style="text-align:center">[95% Conf.</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="14.80%"><p style="text-align:center">Interval]</p></td> 
      </tr> 
      <tr> 
       <td class="custom-top-td acenter" width="14.76%"><p style="text-align:center">LNFmR</p></td> 
       <td class="custom-top-td acenter" width="16.20%"><p style="text-align:center">0.121684</p></td> 
       <td class="custom-top-td acenter" width="16.20%" colspan="2"><p style="text-align:center">0.092985</p></td> 
       <td class="custom-top-td acenter" width="10.18%"><p style="text-align:center">1.31</p></td> 
       <td class="custom-top-td acenter" width="13.10%" colspan="2"><p style="text-align:center">0.191</p></td> 
       <td class="custom-top-td acenter" width="14.76%" colspan="2"><p style="text-align:center">−0.06085</p></td> 
       <td class="custom-top-td acenter" width="14.80%"><p style="text-align:center">0.30422</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="14.76%"><p style="text-align:center">_cons</p></td> 
       <td class="acenter" width="16.20%"><p style="text-align:center">−0.81364</p></td> 
       <td class="acenter" width="16.20%" colspan="2"><p style="text-align:center">0.107804</p></td> 
       <td class="acenter" width="10.18%"><p style="text-align:center">−7.55</p></td> 
       <td class="acenter" width="13.10%" colspan="2"><p style="text-align:center">0.000</p></td> 
       <td class="acenter" width="14.76%" colspan="2"><p style="text-align:center">−1.02527</p></td> 
       <td class="acenter" width="14.80%"><p style="text-align:center">−0.60201</p></td> 
      </tr> 
     </table>
    </table-wrap>
    <p>Step 2: Female Board Members and Risk Management</p>
    <p>The second step evaluates the relationship between female board members (LNFmR) and risk management (LNRM). <xref ref-type="table" rid="table10">
      Table 10
     </xref> shows that the coefficient for LNFmR is 0.066254, with a t-value of 2.78 and a P-value of 0.006. The R-squared (within) value is 0.0100, indicating that about 1% of the variability in risk management practices can be explained by female board representation. The positive and statistically significant coefficient suggests that higher representation of female board members is associated with better risk management practices within the pension schemes.</p>
    <table-wrap id="table10">
     <label>
      <xref ref-type="table" rid="table10">
       Table 10
      </xref></label>
     <caption>
      <title>
       <xref ref-type="bibr" rid="scirp.145884-"></xref>Table 10. Female board members and risk management.</title>
     </caption>
     <table class="MsoTableGrid custom-table" border="0" cellspacing="0" cellpadding="0"> 
      <tr> 
       <td class="acenter" width="38.32%" colspan="3"><p style="text-align:center">Fixed-effects (within) regression</p></td> 
       <td class="acenter" width="23.36%" colspan="3"><p style="text-align:center">Number of obs</p></td> 
       <td class="acenter" width="18.32%" colspan="2"><p style="text-align:center">=</p></td> 
       <td class="acenter" width="20.00%" colspan="2"><p style="text-align:center">896</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="38.32%" colspan="3"><p style="text-align:center">Group variable: Scheme</p></td> 
       <td class="acenter" width="23.36%" colspan="3"><p style="text-align:center">Number of groups</p></td> 
       <td class="acenter" width="18.32%" colspan="2"><p style="text-align:center">=</p></td> 
       <td class="acenter" width="20.00%" colspan="2"><p style="text-align:center">128</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="38.32%" colspan="3"><p style="text-align:center">R-sq:</p></td> 
       <td class="acenter" width="41.70%" colspan="5"><p style="text-align:center">Obs per group:</p></td> 
       <td class="acenter" width="20.00%" colspan="2"><p style="text-align:center"></p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="38.32%" colspan="3"><p style="text-align:center">within = 0.0100</p></td> 
       <td class="acenter" width="23.36%" colspan="3"><p style="text-align:center">min</p></td> 
       <td class="acenter" width="18.32%" colspan="2"><p style="text-align:center">=</p></td> 
       <td class="acenter" width="20.00%" colspan="2"><p style="text-align:center">7</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="38.32%" colspan="3"><p style="text-align:center">between = 0.0525</p></td> 
       <td class="acenter" width="23.36%" colspan="3"><p style="text-align:center">avg</p></td> 
       <td class="acenter" width="18.32%" colspan="2"><p style="text-align:center">=</p></td> 
       <td class="acenter" width="20.00%" colspan="2"><p style="text-align:center">7</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="38.32%" colspan="3"><p style="text-align:center">overall = 0.0261</p></td> 
       <td class="acenter" width="23.36%" colspan="3"><p style="text-align:center">max</p></td> 
       <td class="acenter" width="18.32%" colspan="2"><p style="text-align:center">=</p></td> 
       <td class="acenter" width="20.00%" colspan="2"><p style="text-align:center">7</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="38.32%" colspan="3"><p style="text-align:center"></p></td> 
       <td class="acenter" width="23.36%" colspan="3"><p style="text-align:center">F(1, 767)</p></td> 
       <td class="acenter" width="18.32%" colspan="2"><p style="text-align:center">=</p></td> 
       <td class="acenter" width="20.00%" colspan="2"><p style="text-align:center">7.72</p></td> 
      </tr> 
      <tr> 
       <td class="custom-bottom-td acenter" width="38.32%" colspan="3"><p style="text-align:center">corr(u_i, Xb) = 0.0889</p></td> 
       <td class="custom-bottom-td acenter" width="23.36%" colspan="3"><p style="text-align:center">Prob &gt; F</p></td> 
       <td class="custom-bottom-td acenter" width="18.32%" colspan="2"><p style="text-align:center">=</p></td> 
       <td class="custom-bottom-td acenter" width="20.00%" colspan="2"><p style="text-align:center">0.0056</p></td> 
      </tr> 
      <tr> 
       <td class="custom-bottom-td custom-top-td acenter" width="14.42%"><p style="text-align:center">LNRM</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="13.88%"><p style="text-align:center">Coef.</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="15.02%" colspan="2"><p style="text-align:center">Std. Err.</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="10.00%"><p style="text-align:center">t</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="15.02%" colspan="2"><p style="text-align:center">P &gt; t</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="16.68%" colspan="2"><p style="text-align:center">[95% Conf.</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="14.98%"><p style="text-align:center">Interval]</p></td> 
      </tr> 
      <tr> 
       <td class="custom-top-td acenter" width="14.42%"><p style="text-align:center">LNFmR</p></td> 
       <td class="custom-top-td acenter" width="13.88%"><p style="text-align:center">0.066254</p></td> 
       <td class="custom-top-td acenter" width="15.02%" colspan="2"><p style="text-align:center">0.023842</p></td> 
       <td class="custom-top-td acenter" width="10.00%"><p style="text-align:center">2.78</p></td> 
       <td class="custom-top-td acenter" width="15.02%" colspan="2"><p style="text-align:center">0.006</p></td> 
       <td class="custom-top-td acenter" width="16.68%" colspan="2"><p style="text-align:center">0.019451</p></td> 
       <td class="custom-top-td acenter" width="14.98%"><p style="text-align:center">0.113056</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="14.42%"><p style="text-align:center">_cons</p></td> 
       <td class="acenter" width="13.88%"><p style="text-align:center">1.218447</p></td> 
       <td class="acenter" width="15.02%" colspan="2"><p style="text-align:center">0.027641</p></td> 
       <td class="acenter" width="10.00%"><p style="text-align:center">44.08</p></td> 
       <td class="acenter" width="15.02%" colspan="2"><p style="text-align:center">0.000</p></td> 
       <td class="acenter" width="16.68%" colspan="2"><p style="text-align:center">1.164186</p></td> 
       <td class="acenter" width="14.98%"><p style="text-align:center">1.272709</p></td> 
      </tr> 
     </table>
    </table-wrap>
    <p>Step 3: Risk Management and Efficiency</p>
    <p>The third step investigates the relationship between the mediator (risk management) and the dependent variable (efficiency). <xref ref-type="table" rid="table11">
      Table 11
     </xref> indicates that the coefficient for LNRM is 0.3843364, with a t-value of 2.77 and a P-value of 0.006. The R-squared (within) value is 0.0099, showing that risk management accounts for nearly 1% of the variability in efficiency. The positive and statistically significant coefficient implies that effective risk management practices are linked to improved efficiency in pension schemes.</p>
    <table-wrap id="table11">
     <label>
      <xref ref-type="table" rid="table11">
       Table 11
      </xref></label>
     <caption>
      <title>
       <xref ref-type="bibr" rid="scirp.145884-"></xref>Table 11. Risk management and efficiency.</title>
     </caption>
     <table class="MsoTableGrid custom-table" border="0" cellspacing="0" cellpadding="0"> 
      <tr> 
       <td class="acenter" width="40.98%" colspan="3"><p style="text-align:center">Fixed-effects (within) regression</p></td> 
       <td class="acenter" width="25.12%" colspan="3"><p style="text-align:center">Number of obs</p></td> 
       <td class="acenter" width="15.26%" colspan="2"><p style="text-align:center">=</p></td> 
       <td class="acenter" width="18.64%" colspan="2"><p style="text-align:center">896</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="40.98%" colspan="3"><p style="text-align:center">Group variable: Schemer</p></td> 
       <td class="acenter" width="25.12%" colspan="3"><p style="text-align:center">Number of groups</p></td> 
       <td class="acenter" width="15.26%" colspan="2"><p style="text-align:center">=</p></td> 
       <td class="acenter" width="18.64%" colspan="2"><p style="text-align:center">128</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="40.98%" colspan="3"><p style="text-align:center">R-sq:</p></td> 
       <td class="acenter" width="25.12%" colspan="3"><p style="text-align:center">Obs per group:</p></td> 
       <td class="acenter" width="15.26%" colspan="2"><p style="text-align:center"></p></td> 
       <td class="acenter" width="18.64%" colspan="2"><p style="text-align:center"></p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="40.98%" colspan="3"><p style="text-align:center">within = 0.0099</p></td> 
       <td class="acenter" width="25.12%" colspan="3"><p style="text-align:center">min</p></td> 
       <td class="acenter" width="15.26%" colspan="2"><p style="text-align:center">=</p></td> 
       <td class="acenter" width="18.64%" colspan="2"><p style="text-align:center">7</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="40.98%" colspan="3"><p style="text-align:center">between = 0.0299</p></td> 
       <td class="acenter" width="25.12%" colspan="3"><p style="text-align:center">avg</p></td> 
       <td class="acenter" width="15.26%" colspan="2"><p style="text-align:center">=</p></td> 
       <td class="acenter" width="18.64%" colspan="2"><p style="text-align:center">7</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="40.98%" colspan="3"><p style="text-align:center">overall = 0.0034</p></td> 
       <td class="acenter" width="25.12%" colspan="3"><p style="text-align:center">max</p></td> 
       <td class="acenter" width="15.26%" colspan="2"><p style="text-align:center">=</p></td> 
       <td class="acenter" width="18.64%" colspan="2"><p style="text-align:center">7</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="40.98%" colspan="3"><p style="text-align:center"></p></td> 
       <td class="acenter" width="25.12%" colspan="3"><p style="text-align:center">F(1, 767)</p></td> 
       <td class="acenter" width="15.26%" colspan="2"><p style="text-align:center">=</p></td> 
       <td class="acenter" width="18.64%" colspan="2"><p style="text-align:center">7.66</p></td> 
      </tr> 
      <tr> 
       <td class="custom-bottom-td acenter" width="40.98%" colspan="3"><p style="text-align:center">corr(u_i, Xb) = −0.3433</p></td> 
       <td class="custom-bottom-td acenter" width="25.12%" colspan="3"><p style="text-align:center">Prob &gt; F</p></td> 
       <td class="custom-bottom-td acenter" width="15.26%" colspan="2"><p style="text-align:center">=</p></td> 
       <td class="custom-bottom-td acenter" width="18.64%" colspan="2"><p style="text-align:center">0.0058</p></td> 
      </tr> 
      <tr> 
       <td class="custom-bottom-td custom-top-td acenter" width="16.02%"><p style="text-align:center">Efficiency</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="14.78%"><p style="text-align:center">Coef.</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="14.94%" colspan="2"><p style="text-align:center">Std. Err.</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="11.86%"><p style="text-align:center">t</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="11.86%" colspan="2"><p style="text-align:center">P &gt; t</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="16.96%" colspan="2"><p style="text-align:center">[95% Conf.</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="13.58%"><p style="text-align:center">Interval]</p></td> 
      </tr> 
      <tr> 
       <td class="custom-top-td acenter" width="16.02%"><p style="text-align:center">LNIR</p></td> 
       <td class="custom-top-td acenter" width="14.78%"><p style="text-align:center">0.3843364</p></td> 
       <td class="custom-top-td acenter" width="14.94%" colspan="2"><p style="text-align:center">0.138905</p></td> 
       <td class="custom-top-td acenter" width="11.86%"><p style="text-align:center">2.77</p></td> 
       <td class="custom-top-td acenter" width="11.86%" colspan="2"><p style="text-align:center">0.006</p></td> 
       <td class="custom-top-td acenter" width="16.96%" colspan="2"><p style="text-align:center">0.111658</p></td> 
       <td class="custom-top-td acenter" width="13.58%"><p style="text-align:center">0.657015</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="16.02%"><p style="text-align:center">_cons</p></td> 
       <td class="acenter" width="14.78%"><p style="text-align:center">−1.532897</p></td> 
       <td class="acenter" width="14.94%" colspan="2"><p style="text-align:center">0.212364</p></td> 
       <td class="acenter" width="11.86%"><p style="text-align:center">−7.22</p></td> 
       <td class="acenter" width="11.86%" colspan="2"><p style="text-align:center">0.000</p></td> 
       <td class="acenter" width="16.96%" colspan="2"><p style="text-align:center">−1.94978</p></td> 
       <td class="acenter" width="13.58%"><p style="text-align:center">−1.11601</p></td> 
      </tr> 
     </table>
    </table-wrap>
    <p>Step 4: Female Board Members, Risk Management and Efficiency</p>
    <p>The final step assesses the relationship between female board members and efficiency while controlling for risk management. <xref ref-type="table" rid="table12">
      Table 12
     </xref> shows that the coefficient for LNRM remains positive and statistically significant (0.505744, P = 0.000), indicating that risk management significantly contributes to efficiency. However, the coefficient for LNFmR is 0.088177, with a P-value of 0.342, which is statistically insignificant. This suggests that when risk management is accounted for, the direct effect of female board members on efficiency becomes negligible.</p>
    <table-wrap id="table12">
     <label>
      <xref ref-type="table" rid="table12">
       Table 12
      </xref></label>
     <caption>
      <title>
       <xref ref-type="bibr" rid="scirp.145884-"></xref>Table 12. Female board members, risk management and efficiency.</title>
     </caption>
     <table class="MsoTableGrid custom-table" border="0" cellspacing="0" cellpadding="0"> 
      <tr> 
       <td class="acenter" width="42.36%" colspan="3"><p style="text-align:center">Fixed-effects (within) regression</p></td> 
       <td class="acenter" width="23.72%" colspan="3"><p style="text-align:center">Number of obs</p></td> 
       <td class="acenter" width="15.26%" colspan="2"><p style="text-align:center">=</p></td> 
       <td class="acenter" width="18.66%" colspan="2"><p style="text-align:center">896</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="42.36%" colspan="3"><p style="text-align:center">Group variable: Scheme</p></td> 
       <td class="acenter" width="23.72%" colspan="3"><p style="text-align:center">Number of groups</p></td> 
       <td class="acenter" width="15.26%" colspan="2"><p style="text-align:center">=</p></td> 
       <td class="acenter" width="18.66%" colspan="2"><p style="text-align:center">128</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="42.36%" colspan="3"><p style="text-align:center">R-sq:</p></td> 
       <td class="acenter" width="23.72%" colspan="3"><p style="text-align:center">Obs per group:</p></td> 
       <td class="acenter" width="15.26%" colspan="2"><p style="text-align:center"></p></td> 
       <td class="acenter" width="18.66%" colspan="2"><p style="text-align:center"></p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="42.36%" colspan="3"><p style="text-align:center">within = 0.0190</p></td> 
       <td class="acenter" width="23.72%" colspan="3"><p style="text-align:center">min</p></td> 
       <td class="acenter" width="15.26%" colspan="2"><p style="text-align:center">=</p></td> 
       <td class="acenter" width="18.66%" colspan="2"><p style="text-align:center">7</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="42.36%" colspan="3"><p style="text-align:center">between = 0.0063</p></td> 
       <td class="acenter" width="23.72%" colspan="3"><p style="text-align:center">avg</p></td> 
       <td class="acenter" width="15.26%" colspan="2"><p style="text-align:center">=</p></td> 
       <td class="acenter" width="18.66%" colspan="2"><p style="text-align:center">7</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="42.36%" colspan="3"><p style="text-align:center">overall = 0.0019</p></td> 
       <td class="acenter" width="23.72%" colspan="3"><p style="text-align:center">max</p></td> 
       <td class="acenter" width="15.26%" colspan="2"><p style="text-align:center">=</p></td> 
       <td class="acenter" width="18.66%" colspan="2"><p style="text-align:center">7</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="42.36%" colspan="3"><p style="text-align:center"></p></td> 
       <td class="acenter" width="23.72%" colspan="3"><p style="text-align:center">F(2, 766)</p></td> 
       <td class="acenter" width="15.26%" colspan="2"><p style="text-align:center">=</p></td> 
       <td class="acenter" width="18.66%" colspan="2"><p style="text-align:center">7.42</p></td> 
      </tr> 
      <tr> 
       <td class="custom-bottom-td acenter" width="42.36%" colspan="3"><p style="text-align:center">corr(u_i, Xb) = −0.1692</p></td> 
       <td class="custom-bottom-td acenter" width="23.72%" colspan="3"><p style="text-align:center">Prob &gt; F</p></td> 
       <td class="custom-bottom-td acenter" width="15.26%" colspan="2"><p style="text-align:center">=</p></td> 
       <td class="custom-bottom-td acenter" width="18.66%" colspan="2"><p style="text-align:center">0.0006</p></td> 
      </tr> 
      <tr> 
       <td class="custom-bottom-td custom-top-td acenter" width="14.70%"><p style="text-align:center">Efficiency</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="12.46%"><p style="text-align:center">Coef.</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="19.82%" colspan="2"><p style="text-align:center">Std. Err.</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="10.64%"><p style="text-align:center">t</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="11.86%" colspan="2"><p style="text-align:center">P &gt; t</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="16.96%" colspan="2"><p style="text-align:center">[95% Conf.</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="13.56%"><p style="text-align:center">Interval]</p></td> 
      </tr> 
      <tr> 
       <td class="custom-top-td acenter" width="14.70%"><p style="text-align:center">LNFmR</p></td> 
       <td class="custom-top-td acenter" width="12.46%"><p style="text-align:center">0.088177</p></td> 
       <td class="custom-top-td acenter" width="19.82%" colspan="2"><p style="text-align:center">0.092724</p></td> 
       <td class="custom-top-td acenter" width="10.64%"><p style="text-align:center">0.95</p></td> 
       <td class="custom-top-td acenter" width="11.86%" colspan="2"><p style="text-align:center">0.342</p></td> 
       <td class="custom-top-td acenter" width="16.96%" colspan="2"><p style="text-align:center">−0.09385</p></td> 
       <td class="custom-top-td acenter" width="13.56%"><p style="text-align:center">0.270199</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="14.70%"><p style="text-align:center">LNRM</p></td> 
       <td class="acenter" width="12.46%"><p style="text-align:center">0.505744</p></td> 
       <td class="acenter" width="19.82%" colspan="2"><p style="text-align:center">0.139727</p></td> 
       <td class="acenter" width="10.64%"><p style="text-align:center">3.62</p></td> 
       <td class="acenter" width="11.86%" colspan="2"><p style="text-align:center">0.000</p></td> 
       <td class="acenter" width="16.96%" colspan="2"><p style="text-align:center">0.231452</p></td> 
       <td class="acenter" width="13.56%"><p style="text-align:center">0.780037</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="14.70%"><p style="text-align:center">_cons</p></td> 
       <td class="acenter" width="12.46%"><p style="text-align:center">−1.42986</p></td> 
       <td class="acenter" width="19.82%" colspan="2"><p style="text-align:center">0.201063</p></td> 
       <td class="acenter" width="10.64%"><p style="text-align:center">−7.11</p></td> 
       <td class="acenter" width="11.86%" colspan="2"><p style="text-align:center">0.000</p></td> 
       <td class="acenter" width="16.96%" colspan="2"><p style="text-align:center">−1.82456</p></td> 
       <td class="acenter" width="13.56%"><p style="text-align:center">−1.03516</p></td> 
      </tr> 
     </table>
    </table-wrap>
    <p>Based on these results, the study fails to reject the null hypothesis H<sub>01c</sub>. While female board members positively influence risk management practices, their direct effect on efficiency is not significant. However, risk management significantly enhances the efficiency of pension schemes, indicating that it plays an essential role in mediating the relationship between female board members and efficiency. This finding highlights the importance of robust risk management practices in ensuring that the governance benefits associated with female board representation translate into tangible improvements in organizational efficiency.</p>
    <p>H<sub>03d</sub>: Risk management has no intervening effect on the relationship between independent board members and efficiency of pension schemes in Kenya.</p>
    <p>The objective of the study also sought to investigate the intervening effect of risk management on the relationship between independent board members and the efficiency of pension schemes in Kenya. The above hypothesis was tested.</p>
    <p>Step 1: Independent Board Members and Efficiency</p>
    <p>The first step assesses the direct relationship between independent board members (LNImR) and efficiency without considering risk management as a mediator. <xref ref-type="table" rid="table13">
      Table 13
     </xref> shows that the coefficient for LNImR is −0.0772, with a t-value of −0.39 and a P-value of 0.693. The R-squared (within) value is 0.0002, indicating that the model explains only 0.02% of the variability in efficiency. This result is statistically insignificant, suggesting that independent board members do not have a significant direct effect on the efficiency of pension schemes.</p>
    <table-wrap id="table13">
     <label>
      <xref ref-type="table" rid="table13">
       Table 13
      </xref></label>
     <caption>
      <title>
       <xref ref-type="bibr" rid="scirp.145884-"></xref>Table 13. Independent board members and efficiency.</title>
     </caption>
     <table class="MsoTableGrid custom-table" border="0" cellspacing="0" cellpadding="0"> 
      <tr> 
       <td class="acenter" width="38.96%" colspan="3"><p style="text-align:center">Fixed-effects (within) regression</p></td> 
       <td class="acenter" width="27.14%" colspan="3"><p style="text-align:center">Number of obs</p></td> 
       <td class="acenter" width="15.26%" colspan="2"><p style="text-align:center">=</p></td> 
       <td class="acenter" width="18.64%" colspan="2"><p style="text-align:center">896</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="38.96%" colspan="3"><p style="text-align:center">Group variable: Scheme</p></td> 
       <td class="acenter" width="27.14%" colspan="3"><p style="text-align:center">Number of groups</p></td> 
       <td class="acenter" width="15.26%" colspan="2"><p style="text-align:center">=</p></td> 
       <td class="acenter" width="18.64%" colspan="2"><p style="text-align:center">128</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="38.96%" colspan="3"><p style="text-align:center">R-sq:</p></td> 
       <td class="acenter" width="27.14%" colspan="3"><p style="text-align:center">Obs per group:</p></td> 
       <td class="acenter" width="15.26%" colspan="2"><p style="text-align:center"></p></td> 
       <td class="acenter" width="18.64%" colspan="2"><p style="text-align:center"></p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="38.96%" colspan="3"><p style="text-align:center">within = 0.0002</p></td> 
       <td class="acenter" width="27.14%" colspan="3"><p style="text-align:center">min</p></td> 
       <td class="acenter" width="15.26%" colspan="2"><p style="text-align:center">=</p></td> 
       <td class="acenter" width="18.64%" colspan="2"><p style="text-align:center">7</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="38.96%" colspan="3"><p style="text-align:center">between = 0.0005</p></td> 
       <td class="acenter" width="27.14%" colspan="3"><p style="text-align:center">avg</p></td> 
       <td class="acenter" width="15.26%" colspan="2"><p style="text-align:center">=</p></td> 
       <td class="acenter" width="18.64%" colspan="2"><p style="text-align:center">7</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="38.96%" colspan="3"><p style="text-align:center">overall = 0.0003</p></td> 
       <td class="acenter" width="27.14%" colspan="3"><p style="text-align:center">max</p></td> 
       <td class="acenter" width="15.26%" colspan="2"><p style="text-align:center">=</p></td> 
       <td class="acenter" width="18.64%" colspan="2"><p style="text-align:center">7</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="38.96%" colspan="3"><p style="text-align:center"></p></td> 
       <td class="acenter" width="27.14%" colspan="3"><p style="text-align:center">F(1, 767)</p></td> 
       <td class="acenter" width="15.26%" colspan="2"><p style="text-align:center">=</p></td> 
       <td class="acenter" width="18.64%" colspan="2"><p style="text-align:center">0.16</p></td> 
      </tr> 
      <tr> 
       <td class="custom-bottom-td acenter" width="38.96%" colspan="3"><p style="text-align:center">corr(u_i, Xb) = −0.0279</p></td> 
       <td class="custom-bottom-td acenter" width="27.14%" colspan="3"><p style="text-align:center">Prob &gt; F</p></td> 
       <td class="custom-bottom-td acenter" width="15.26%" colspan="2"><p style="text-align:center">=</p></td> 
       <td class="custom-bottom-td acenter" width="18.64%" colspan="2"><p style="text-align:center">0.693</p></td> 
      </tr> 
      <tr> 
       <td class="custom-bottom-td custom-top-td acenter" width="14.70%"><p style="text-align:center">Efficiency</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="12.38%"><p style="text-align:center">Coef.</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="16.96%" colspan="2"><p style="text-align:center">Std. Err.</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="11.86%"><p style="text-align:center">t</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="13.56%" colspan="2"><p style="text-align:center">P &gt; t</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="16.96%" colspan="2"><p style="text-align:center">[95% Conf.</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="13.58%"><p style="text-align:center">Interval]</p></td> 
      </tr> 
      <tr> 
       <td class="custom-top-td acenter" width="14.70%"><p style="text-align:center">LNImR</p></td> 
       <td class="custom-top-td acenter" width="12.38%"><p style="text-align:center">−0.0772</p></td> 
       <td class="custom-top-td acenter" width="16.96%" colspan="2"><p style="text-align:center">0.195473</p></td> 
       <td class="custom-top-td acenter" width="11.86%"><p style="text-align:center">−0.39</p></td> 
       <td class="custom-top-td acenter" width="13.56%" colspan="2"><p style="text-align:center">0.693</p></td> 
       <td class="custom-top-td acenter" width="16.96%" colspan="2"><p style="text-align:center">−0.46093</p></td> 
       <td class="custom-top-td acenter" width="13.58%"><p style="text-align:center">0.306525</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="14.70%"><p style="text-align:center">_cons</p></td> 
       <td class="acenter" width="12.38%"><p style="text-align:center">−1.07062</p></td> 
       <td class="acenter" width="16.96%" colspan="2"><p style="text-align:center">0.306311</p></td> 
       <td class="acenter" width="11.86%"><p style="text-align:center">−3.5</p></td> 
       <td class="acenter" width="13.56%" colspan="2"><p style="text-align:center">0.001</p></td> 
       <td class="acenter" width="16.96%" colspan="2"><p style="text-align:center">−1.67193</p></td> 
       <td class="acenter" width="13.58%"><p style="text-align:center">−0.46932</p></td> 
      </tr> 
     </table>
    </table-wrap>
    <p>Step 2: Independent Board Members and Efficiency</p>
    <p>The second step examines the relationship between independent board members (LNImR) and risk management (LNRM). <xref ref-type="table" rid="table14">
      Table 14
     </xref> indicates that the coefficient for LNImR is −0.0756, with a t-value of −1.5 and a P-value of 0.133. The R-squared (within) value is 0.0029, showing that the model explains only 0.29% of the variability in risk management. The relationship is statistically insignificant, suggesting that the presence of independent board members does not significantly influence the level of risk management practices within the schemes.</p>
    <table-wrap id="table14">
     <label>
      <xref ref-type="table" rid="table14">
       Table 14
      </xref></label>
     <caption>
      <title>
       <xref ref-type="bibr" rid="scirp.145884-"></xref>Table 14. Independent board members and efficiency.</title>
     </caption>
     <table class="MsoTableGrid custom-table" border="0" cellspacing="0" cellpadding="0"> 
      <tr> 
       <td class="acenter" width="37.26%" colspan="3"><p style="text-align:center">Fixed-effects (within) regression</p></td> 
       <td class="acenter" width="28.84%" colspan="3"><p style="text-align:center">Number of obs</p></td> 
       <td class="acenter" width="15.26%" colspan="2"><p style="text-align:center">=</p></td> 
       <td class="acenter" width="18.62%" colspan="2"><p style="text-align:center">896</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="37.26%" colspan="3"><p style="text-align:center">Group variable: Scheme</p></td> 
       <td class="acenter" width="28.84%" colspan="3"><p style="text-align:center">Number of groups</p></td> 
       <td class="acenter" width="15.26%" colspan="2"><p style="text-align:center">=</p></td> 
       <td class="acenter" width="18.62%" colspan="2"><p style="text-align:center">128</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="37.26%" colspan="3"><p style="text-align:center">R-sq:</p></td> 
       <td class="acenter" width="28.84%" colspan="3"><p style="text-align:center">Obs per group:</p></td> 
       <td class="acenter" width="15.26%" colspan="2"><p style="text-align:center"></p></td> 
       <td class="acenter" width="18.62%" colspan="2"><p style="text-align:center"></p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="37.26%" colspan="3"><p style="text-align:center">within = 0.0029</p></td> 
       <td class="acenter" width="28.84%" colspan="3"><p style="text-align:center">min</p></td> 
       <td class="acenter" width="15.26%" colspan="2"><p style="text-align:center">=</p></td> 
       <td class="acenter" width="18.62%" colspan="2"><p style="text-align:center">7</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="37.26%" colspan="3"><p style="text-align:center">between = 0.0002</p></td> 
       <td class="acenter" width="28.84%" colspan="3"><p style="text-align:center">avg</p></td> 
       <td class="acenter" width="15.26%" colspan="2"><p style="text-align:center">=</p></td> 
       <td class="acenter" width="18.62%" colspan="2"><p style="text-align:center">7</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="37.26%" colspan="3"><p style="text-align:center">overall = 0.0005</p></td> 
       <td class="acenter" width="28.84%" colspan="3"><p style="text-align:center">max</p></td> 
       <td class="acenter" width="15.26%" colspan="2"><p style="text-align:center">=</p></td> 
       <td class="acenter" width="18.62%" colspan="2"><p style="text-align:center">7</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="37.26%" colspan="3"><p style="text-align:center"></p></td> 
       <td class="acenter" width="28.84%" colspan="3"><p style="text-align:center">F(1, 767)</p></td> 
       <td class="acenter" width="15.26%" colspan="2"><p style="text-align:center">=</p></td> 
       <td class="acenter" width="18.62%" colspan="2"><p style="text-align:center">2.26</p></td> 
      </tr> 
      <tr> 
       <td class="custom-bottom-td acenter" width="37.26%" colspan="3"><p style="text-align:center">corr(u_i, Xb) = −0.1368</p></td> 
       <td class="custom-bottom-td acenter" width="28.84%" colspan="3"><p style="text-align:center">Prob &gt; F</p></td> 
       <td class="custom-bottom-td acenter" width="15.26%" colspan="2"><p style="text-align:center">=</p></td> 
       <td class="custom-bottom-td acenter" width="18.62%" colspan="2"><p style="text-align:center">0.1328</p></td> 
      </tr> 
      <tr> 
       <td class="custom-bottom-td custom-top-td acenter" width="14.30%"><p style="text-align:center">LNRM</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="15.68%"><p style="text-align:center">Coef.</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="14.04%" colspan="2"><p style="text-align:center">Std. Err.</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="11.86%"><p style="text-align:center">t</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="13.56%" colspan="2"><p style="text-align:center">P &gt; t</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="16.96%" colspan="2"><p style="text-align:center">[95% Conf.</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="13.60%"><p style="text-align:center">Interval]</p></td> 
      </tr> 
      <tr> 
       <td class="custom-top-td acenter" width="14.30%"><p style="text-align:center">LNImR</p></td> 
       <td class="custom-top-td acenter" width="15.68%"><p style="text-align:center">−0.0756</p></td> 
       <td class="custom-top-td acenter" width="14.04%" colspan="2"><p style="text-align:center">0.050246</p></td> 
       <td class="custom-top-td acenter" width="11.86%"><p style="text-align:center">−1.5</p></td> 
       <td class="custom-top-td acenter" width="13.56%" colspan="2"><p style="text-align:center">0.133</p></td> 
       <td class="custom-top-td acenter" width="16.96%" colspan="2"><p style="text-align:center">−0.17424</p></td> 
       <td class="custom-top-td acenter" width="13.60%"><p style="text-align:center">0.023036</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="14.30%"><p style="text-align:center">_cons</p></td> 
       <td class="acenter" width="15.68%"><p style="text-align:center">1.026134</p></td> 
       <td class="acenter" width="14.04%" colspan="2"><p style="text-align:center">0.078737</p></td> 
       <td class="acenter" width="11.86%"><p style="text-align:center">13.03</p></td> 
       <td class="acenter" width="13.56%" colspan="2"><p style="text-align:center">0.000</p></td> 
       <td class="acenter" width="16.96%" colspan="2"><p style="text-align:center">0.871567</p></td> 
       <td class="acenter" width="13.60%"><p style="text-align:center">1.1807</p></td> 
      </tr> 
     </table>
    </table-wrap>
    <p>Step 3: Risk Management and Efficiency</p>
    <p>The third step explores the relationship between the mediator (risk management) and the dependent variable (efficiency). <xref ref-type="table" rid="table15">
      Table 15
     </xref> reveals that the coefficient for LNRM is 0.3843364, with a t-value of 2.77 and a P-value of 0.006. The R-squared (within) value is 0.0099, indicating that nearly 1% of the variation in efficiency can be explained by risk management. The positive and statistically significant coefficient suggests that better risk management practices are associated with higher efficiency in pension schemes.</p>
    <table-wrap id="table15">
     <label>
      <xref ref-type="table" rid="table15">
       Table 15
      </xref></label>
     <caption>
      <title>
       <xref ref-type="bibr" rid="scirp.145884-"></xref>Table 15. Risk management and efficiency.</title>
     </caption>
     <table class="MsoTableGrid custom-table" border="0" cellspacing="0" cellpadding="0"> 
      <tr> 
       <td class="acenter" width="39.98%" colspan="3"><p style="text-align:center">Fixed-effects (within) regression</p></td> 
       <td class="acenter" width="25.02%" colspan="3"><p style="text-align:center">Number of obs</p></td> 
       <td class="acenter" width="15.00%" colspan="2"><p style="text-align:center">=</p></td> 
       <td class="acenter" width="20.00%" colspan="2"><p style="text-align:center">896</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="39.98%" colspan="3"><p style="text-align:center">Group variable: Schemer</p></td> 
       <td class="acenter" width="25.02%" colspan="3"><p style="text-align:center">Number of groups</p></td> 
       <td class="acenter" width="15.00%" colspan="2"><p style="text-align:center">=</p></td> 
       <td class="acenter" width="20.00%" colspan="2"><p style="text-align:center">128</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="39.98%" colspan="3"><p style="text-align:center">R-sq:</p></td> 
       <td class="acenter" width="25.02%" colspan="3"><p style="text-align:center">Obs per group:</p></td> 
       <td class="acenter" width="15.00%" colspan="2"><p style="text-align:center"></p></td> 
       <td class="acenter" width="20.00%" colspan="2"><p style="text-align:center"></p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="39.98%" colspan="3"><p style="text-align:center">within = 0.0099</p></td> 
       <td class="acenter" width="25.02%" colspan="3"><p style="text-align:center">min</p></td> 
       <td class="acenter" width="15.00%" colspan="2"><p style="text-align:center">=</p></td> 
       <td class="acenter" width="20.00%" colspan="2"><p style="text-align:center">7</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="39.98%" colspan="3"><p style="text-align:center">between = 0.0299</p></td> 
       <td class="acenter" width="25.02%" colspan="3"><p style="text-align:center">avg</p></td> 
       <td class="acenter" width="15.00%" colspan="2"><p style="text-align:center">=</p></td> 
       <td class="acenter" width="20.00%" colspan="2"><p style="text-align:center">7</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="39.98%" colspan="3"><p style="text-align:center">overall = 0.0034</p></td> 
       <td class="acenter" width="25.02%" colspan="3"><p style="text-align:center">max</p></td> 
       <td class="acenter" width="15.00%" colspan="2"><p style="text-align:center">=</p></td> 
       <td class="acenter" width="20.00%" colspan="2"><p style="text-align:center">7</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="39.98%" colspan="3"><p style="text-align:center"></p></td> 
       <td class="acenter" width="25.02%" colspan="3"><p style="text-align:center">F(1, 767)</p></td> 
       <td class="acenter" width="15.00%" colspan="2"><p style="text-align:center">=</p></td> 
       <td class="acenter" width="20.00%" colspan="2"><p style="text-align:center">7.66</p></td> 
      </tr> 
      <tr> 
       <td class="custom-bottom-td acenter" width="39.98%" colspan="3"><p style="text-align:center">corr(u_i, Xb) = −0.3433</p></td> 
       <td class="custom-bottom-td acenter" width="25.02%" colspan="3"><p style="text-align:center">Prob &gt; F</p></td> 
       <td class="custom-bottom-td acenter" width="15.00%" colspan="2"><p style="text-align:center">=</p></td> 
       <td class="custom-bottom-td acenter" width="20.00%" colspan="2"><p style="text-align:center">0.0058</p></td> 
      </tr> 
      <tr> 
       <td class="custom-bottom-td custom-top-td acenter" width="15.82%"><p style="text-align:center">Efficiency</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="15.88%"><p style="text-align:center">Coef.</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="15.00%" colspan="2"><p style="text-align:center">Std. Err.</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="11.68%"><p style="text-align:center">t</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="11.70%" colspan="2"><p style="text-align:center">P &gt; t</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="16.68%" colspan="2"><p style="text-align:center">[95% Conf.</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="13.26%"><p style="text-align:center">Interval]</p></td> 
      </tr> 
      <tr> 
       <td class="custom-top-td acenter" width="15.82%"><p style="text-align:center">LNIR</p></td> 
       <td class="custom-top-td acenter" width="15.88%"><p style="text-align:center">0.3843364</p></td> 
       <td class="custom-top-td acenter" width="15.00%" colspan="2"><p style="text-align:center">0.138905</p></td> 
       <td class="custom-top-td acenter" width="11.68%"><p style="text-align:center">2.77</p></td> 
       <td class="custom-top-td acenter" width="11.70%" colspan="2"><p style="text-align:center">0.006</p></td> 
       <td class="custom-top-td acenter" width="16.68%" colspan="2"><p style="text-align:center">0.111658</p></td> 
       <td class="custom-top-td acenter" width="13.26%"><p style="text-align:center">0.657015</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="15.82%"><p style="text-align:center">_cons</p></td> 
       <td class="acenter" width="15.88%"><p style="text-align:center">−1.532897</p></td> 
       <td class="acenter" width="15.00%" colspan="2"><p style="text-align:center">0.212364</p></td> 
       <td class="acenter" width="11.68%"><p style="text-align:center">−7.22</p></td> 
       <td class="acenter" width="11.70%" colspan="2"><p style="text-align:center">0.000</p></td> 
       <td class="acenter" width="16.68%" colspan="2"><p style="text-align:center">−1.94978</p></td> 
       <td class="acenter" width="13.26%"><p style="text-align:center">−1.11601</p></td> 
      </tr> 
     </table>
    </table-wrap>
    <p>Step 4: Independent Board Members, Risk Management and Efficiency</p>
    <p>The final step evaluates the relationship between independent board members and efficiency while controlling for risk management. <xref ref-type="table" rid="table16">
      Table 16
     </xref> shows that the coefficient for LNRM remains positive and statistically significant (0.517528, P = 0.000), indicating that risk management continues to have a significant positive effect on efficiency. However, the coefficient for LNImR is now −0.03807 with a P-value of 0.845, which is statistically insignificant. This suggests that when risk management is accounted for, the direct effect of independent board members on efficiency is negligible.</p>
    <table-wrap id="table16">
     <label>
      <xref ref-type="table" rid="table16">
       Table 16
      </xref></label>
     <caption>
      <title>
       <xref ref-type="bibr" rid="scirp.145884-"></xref>Table 16. Independent board members, risk management and efficiency.</title>
     </caption>
     <table class="MsoTableGrid custom-table" border="0" cellspacing="0" cellpadding="0"> 
      <tr> 
       <td class="acenter" width="38.96%" colspan="3"><p style="text-align:center">Fixed-effects (within) regression</p></td> 
       <td class="acenter" width="23.74%" colspan="3"><p style="text-align:center">Number of obs</p></td> 
       <td class="acenter" width="18.68%" colspan="2"><p style="text-align:center">=</p></td> 
       <td class="acenter" width="18.62%" colspan="2"><p style="text-align:center">896</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="38.96%" colspan="3"><p style="text-align:center">Group variable: Scheme</p></td> 
       <td class="acenter" width="23.74%" colspan="3"><p style="text-align:center">Number of groups</p></td> 
       <td class="acenter" width="18.68%" colspan="2"><p style="text-align:center">=</p></td> 
       <td class="acenter" width="18.62%" colspan="2"><p style="text-align:center">128</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="38.96%" colspan="3"><p style="text-align:center">R-sq:</p></td> 
       <td class="acenter" width="23.74%" colspan="3"><p style="text-align:center">Obs per group:</p></td> 
       <td class="acenter" width="18.68%" colspan="2"><p style="text-align:center"></p></td> 
       <td class="acenter" width="18.62%" colspan="2"><p style="text-align:center"></p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="38.96%" colspan="3"><p style="text-align:center">within = 0.0179</p></td> 
       <td class="acenter" width="23.74%" colspan="3"><p style="text-align:center">min</p></td> 
       <td class="acenter" width="18.68%" colspan="2"><p style="text-align:center">=</p></td> 
       <td class="acenter" width="18.62%" colspan="2"><p style="text-align:center">7</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="38.96%" colspan="3"><p style="text-align:center">between = 0.0020</p></td> 
       <td class="acenter" width="23.74%" colspan="3"><p style="text-align:center">avg</p></td> 
       <td class="acenter" width="18.68%" colspan="2"><p style="text-align:center">=</p></td> 
       <td class="acenter" width="18.62%" colspan="2"><p style="text-align:center">7</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="38.96%" colspan="3"><p style="text-align:center">overall = 0.0033</p></td> 
       <td class="acenter" width="23.74%" colspan="3"><p style="text-align:center">max</p></td> 
       <td class="acenter" width="18.68%" colspan="2"><p style="text-align:center">=</p></td> 
       <td class="acenter" width="18.62%" colspan="2"><p style="text-align:center">7</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="38.96%" colspan="3"><p style="text-align:center"></p></td> 
       <td class="acenter" width="23.74%" colspan="3"><p style="text-align:center">F(2, 766)</p></td> 
       <td class="acenter" width="18.68%" colspan="2"><p style="text-align:center">=</p></td> 
       <td class="acenter" width="18.62%" colspan="2"><p style="text-align:center">6.98</p></td> 
      </tr> 
      <tr> 
       <td class="custom-bottom-td acenter" width="38.96%" colspan="3"><p style="text-align:center">corr(u_i, Xb) = −0.1393</p></td> 
       <td class="custom-bottom-td acenter" width="23.74%" colspan="3"><p style="text-align:center">Prob &gt; F</p></td> 
       <td class="custom-bottom-td acenter" width="18.68%" colspan="2"><p style="text-align:center">=</p></td> 
       <td class="custom-bottom-td acenter" width="18.62%" colspan="2"><p style="text-align:center">0.001</p></td> 
      </tr> 
      <tr> 
       <td class="custom-bottom-td custom-top-td acenter" width="17.80%"><p style="text-align:center">EFFICIENCY</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="12.46%"><p style="text-align:center">Coef.</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="13.78%" colspan="2"><p style="text-align:center">Std. Err.</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="12.72%"><p style="text-align:center">t</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="12.72%" colspan="2"><p style="text-align:center">P &gt; t</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="18.68%" colspan="2"><p style="text-align:center">[95% Conf.</p></td> 
       <td class="custom-bottom-td custom-top-td acenter" width="11.86%"><p style="text-align:center">Interval]</p></td> 
      </tr> 
      <tr> 
       <td class="custom-top-td acenter" width="17.80%"><p style="text-align:center">LNImR</p></td> 
       <td class="custom-top-td acenter" width="12.46%"><p style="text-align:center">−0.03807</p></td> 
       <td class="custom-top-td acenter" width="13.78%" colspan="2"><p style="text-align:center">0.194148</p></td> 
       <td class="custom-top-td acenter" width="12.72%"><p style="text-align:center">−0.2</p></td> 
       <td class="custom-top-td acenter" width="12.72%" colspan="2"><p style="text-align:center">0.845</p></td> 
       <td class="custom-top-td acenter" width="18.68%" colspan="2"><p style="text-align:center">−0.4192</p></td> 
       <td class="custom-top-td acenter" width="11.86%"><p style="text-align:center">0.34305</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="17.80%"><p style="text-align:center">LNRM</p></td> 
       <td class="acenter" width="12.46%"><p style="text-align:center">0.517528</p></td> 
       <td class="acenter" width="13.78%" colspan="2"><p style="text-align:center">0.139312</p></td> 
       <td class="acenter" width="12.72%"><p style="text-align:center">3.71</p></td> 
       <td class="acenter" width="12.72%" colspan="2"><p style="text-align:center">0.000</p></td> 
       <td class="acenter" width="18.68%" colspan="2"><p style="text-align:center">0.244049</p></td> 
       <td class="acenter" width="11.86%"><p style="text-align:center">0.791007</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="17.80%"><p style="text-align:center">_cons</p></td> 
       <td class="acenter" width="12.46%"><p style="text-align:center">−1.60168</p></td> 
       <td class="acenter" width="13.78%" colspan="2"><p style="text-align:center">0.335741</p></td> 
       <td class="acenter" width="12.72%"><p style="text-align:center">−4.77</p></td> 
       <td class="acenter" width="12.72%" colspan="2"><p style="text-align:center">0.000</p></td> 
       <td class="acenter" width="18.68%" colspan="2"><p style="text-align:center">−2.26076</p></td> 
       <td class="acenter" width="11.86%"><p style="text-align:center">−0.9426</p></td> 
      </tr> 
     </table>
    </table-wrap>
    <p>Based on these results, the study fails to reject the null hypothesis H<sub>01d</sub>. Although risk management significantly influences the efficiency of Pension schemes, it does not mediate the relationship between independent board members and efficiency. This indicates that while risk management is crucial for enhancing efficiency, the presence of independent board members does not significantly affect either risk management practices or the overall efficiency of the schemes. The findings suggest that other factors may be more influential in determining the role of independent board members in organizational efficiency.</p>
   </sec>
   <sec id="s5">
    <title>5. Conclusion and Recommendations</title>
    <p>The main objective of this study was to investigate the intervening effect of risk management on the relationship between corporate governance and the efficiency of pension schemes in Kenya. The analysis aimed to determine whether effective risk management practices could enhance or mediate the effect of various corporate governance aspects, including top management on the board, employee representatives, female board members, and independent board members, on the efficiency of these schemes. The findings revealed that risk management significantly mediates the relationships between employee representatives on the board of trustees with the efficiency of pension schemes, suggesting that robust risk management practices are crucial in translating good governance into improved performance. However, the study found no significant mediation effect of risk management on the relationships between top management on the board, female board memebers, or independent board members and efficiency.</p>
    <p>These findings support Risk Management Theory, which posits that effective risk management practices are integral to enhancing organizational performance by mitigating potential risks and ensuring that governance decisions are aligned with the strategic objectives of the firm. In the context of pension schemes, the mediation effect of risk management indicates that when employee representatives and female board members are involved in governance, the presence of strong risk management practices ensures that their contributions lead to improved efficiency. This suggests that risk management acts as a critical safeguard, enabling these governance structures to function more effectively and contribute to the overall performance of the schemes.</p>
    <p>The results of this study can be compared with those of <xref ref-type="bibr" rid="scirp.145884-29">
      Yang et al. (2018)
     </xref>, who found that risk management practices significantly enhance the performance of SMEs in Pakistan. While Yang et al.’s study focused on SMEs, the current study extends the understanding of risk management’s role to the context of pension schemes, a different organizational setting. The current study’s use of a broader sample, including various governance structures, avoids the potential sampling bias identified in Yang et al.’s work, where the focus on SMEs alone may have limited the generalizability of the findings. By including a diverse set of governance variables and focusing on pension schemes, this study provides a more comprehensive view of how risk management mediates the relationship between governance and performance across different organizational contexts.</p>
    <p>Additionally, the results are similar to <xref ref-type="bibr" rid="scirp.145884-18">
      Malik et al. (2020)
     </xref> who found a significant and positive relationship between ERM and performance of listed firms in the UK, especially when board-level ERM governance interventions are involved. This debunks the contextual gap, perhaps because both Kenya and the UK share the core principles of leadership, accountability, and stakeholder engagement, notwithstanding the varying specific implementation and enforcement mechanisms. Similarly, <xref ref-type="bibr" rid="scirp.145884-1">
      Al-Nimer et al. (2021)
     </xref> found that ERM significantly impacts the performance of financial institutions in Jordan. However, their study’s reliance on cross-sectional data presented a methodological limitation, as it could not capture the dynamic interactions between variables over time. In contrast, the current study utilized panel data, allowing for a more nuanced understanding of how risk management influences governance and efficiency over an extended period.</p>
    <p>The findings contrast with <xref ref-type="bibr" rid="scirp.145884-11">
      González et al. (2020)
     </xref>, who found no significant relationship between ERM and the performance of listed firms in Spain. The difference in results may be attributed to the context and the specific governance structures considered in the current study, such as the inclusion of employee representatives and female board members. While González et al.’s study pointed out the limitation of missing variables that could mediate the relationship between ERM and performance, the current study addressed this gap by including risk management as an intervening variable. This approach provided deeper insights into how risk management practices can mediate the effect of governance structures on organizational efficiency, particularly in the context of pension schemes.</p>
    <p>The findings underscore the critical role of risk management in enhancing the effectiveness of certain governance practices within pension schemes. The study demonstrates that when risk management practices are robust, they can significantly mediate the relationship between governance structures, such as employee and female board representation, and the efficiency of pension schemes. These findings contribute to Risk Management Theory by providing empirical evidence that supports the theory’s assertion that effective risk management is essential for translating good governance into improved organizational performance.</p>
    <p>Further, the failure of risk management to leverage board independence, gender diversity, and top management to influence the efficiency of schemes could be due to poor ERM implementation, lack of board engagement, poor communication, or internal politics within the boards of trustees. To fix this, the pension regulators should consider regulations that entrench risk-focused skills, stronger risk culture, better information flow, and clear risk oversight roles and responsibilities within the boards of trustees. Nevertheless, these results suggest that risk management should be considered a central component of governance frameworks, particularly in environments where the efficient management of long-term assets, such as retirement benefits, is crucial for organizational success.</p>
   </sec>
   <sec id="s6">
    <title>Areas for Further Research</title>
    <p>Further research could explore the contribution of the contracted professional service providers in the governance of pension schemes. While this study focused on employee representatives, female board members, and independent board members, there is need to investigate how the contracted service providers influence the efficiency of these schemes through their decision-making nodes.</p>
   </sec>
  </sec>
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