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<title-group><article-title>Performance of Banks’Asset Liability Management Strategies: A Practical Approach with Machine Learning</article-title></title-group>
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<contrib contrib-type="author"><name><surname>Banihashemi</surname><given-names>Shokoofeh</given-names></name><xref ref-type="aff" rid="aff1"/></contrib>
<contrib contrib-type="author"><name><surname>Kazemi</surname><given-names>Reza</given-names></name><xref ref-type="aff" rid="aff1"/></contrib>
<aff id="aff1">Department of  Mathematics, Allameh Tabataba&apos;i University, Tehran, Iran.</aff>
</contrib-group>
<abstract><p>This research examines the performance of banks&apos; Asset Liability Management (ALM) strategies using Data Envelopment Analysis (DEA) to improve bank efficiency and estimate the efficiency scores of emerging banks. ALM is an essential process for financial institutions to manage their assets and obligations effectively, ensuring profitability, liquidity, and risk oversight, while DEA offers a comprehensive methodology for evaluating and comparing the efficiency of Decision-Making Units (DMUs). By utilizing DEA in the context of ALM, this research seeks to uncover inefficiencies and recommend optimization strategies. The results reveal considerable differences in efficiency levels, underscoring potential improvement areas and best practices. This study adds to the existing literature by illustrating the practical use of DEA in ALM and providing actionable insights for banks to boost their performance.</p></abstract>
<kwd-group kwd-group-type="author"><kwd>Asset liability management</kwd><kwd>Machine learning</kwd><kwd>Performance evaluation</kwd><kwd>Profitability</kwd></kwd-group>
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<sec id="sec-1"><label>1</label><title>Introduction</title>
<p>Asset Liability Management (ALM) is a pivotal function within financial institutions, focusing on the optimization of the balance between assets and liabilities. Effective ALM is crucial for maintaining financial stability, ensuring liquidity, and maximizing profitability. Banks employ various strategies and tools to manage and mitigate the risks associated with mismatches between assets and liabilities <xref ref-type="bibr" rid="ref-1">[1]</xref>. The primary goal of ALM is to manage the risks arising from the mismatch between assets and liabilities, ensuring profitability, liquidity, and solvency <xref ref-type="bibr" rid="ref-2">[2]</xref>. Data Envelopment Analysis (DEA) is a widely used non-parametric method in operations research and economics for measuring the efficiency of Decision-Making Units (DMUs) <xref ref-type="bibr" rid="ref-3">[3]</xref>, <xref ref-type="bibr" rid="ref-4">[4]</xref>. DEA evaluates the relative efficiency of entities by comparing their input-output ratios, providing a comprehensive assessment of performance. DEA is used to measure the efficiency of DMUs, such as banks or financial portfolios, by comparing their performance relative to each other <xref ref-type="bibr" rid="ref-5">[5]</xref>. The integration of DEA into ALM offers a novel approach to identifying inefficiencies and enhancing resource allocation.</p>
<p>Despite the critical importance of ALM, many financial institutions struggle with inefficiencies and suboptimal performance <xref ref-type="bibr" rid="ref-6">[6]</xref>. Traditional methods for evaluating ALM practices often fall short of providing a holistic view of efficiency. This study addresses this gap by applying DEA to assess the efficiency of ALM strategies in financial institutions, aiming to identify areas for improvement and optimization <xref ref-type="bibr" rid="ref-7">[7]</xref>.</p>
<p>The main objectives of this study are to:</p>
<p>I. Evaluate the efficiency of ALM practices in financial institutions using DEA.</p>
<p>II. Identify inefficiencies and provide actionable recommendations for improvement.</p>
<p>III. Demonstrate the practical application of DEA in optimizing ALM practices.</p>
<p>IV. Predict the efficiency score of new financial institutions by ML and ANN.</p>
<p>This study contributes to the existing literature by offering a comprehensive analysis of ALM efficiency through the lens of DEA. By highlighting best practices and areas for enhancement, the findings can help financial institutions achieve better financial stability and profitability. Furthermore, this study showcases the practical utility of DEA as a valuable tool for ALM optimization. Also, regression prediction <xref ref-type="bibr" rid="ref-5">[5]</xref>, <xref ref-type="bibr" rid="ref-9">[9]</xref> and neural network of test set performance based on the training set under different classification combinations are performed.</p>
<p>The rest of this paper is structured as follows. The Problem formulation is explained in Section 2. And Section 3 includes experimental testing of the methodology.</p>
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<sec id="sec-2"><label>2</label><title>Problem Formulation</title>
<p>In this section, we shall formulate the optimal investment problem based on the asset-liability ratio.</p>
<sec id="sec-3"><label>2.1</label><title>The Dynamics of Assets and Liabilities</title>
<p>Suppose that an investor can allocate his/her wealth within the time horizon [0, T] in banks. These assets are risk-free assets (Cash) and a default-free zero-coupon bond (Treasury bond). The price process of the risk-free asset is given by</p>
<p>The price process of a default-free zero-coupon bond (treasury bond)is given by</p>
<p>dS(t) = S(t)(μdt + σdW(t)).</p>
<p>W(t) is the Winner process or Brownian motion, where μ and σ are constants. geometric brownian motion is used to model the liability process <xref ref-type="bibr" rid="ref-8">[8]</xref>. To be specific, the accumulative liability process L(t) is described by</p>
<p>dL(t) = L(t)(αdt + βdW(t)).</p>
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<sec id="sec-4"><label>2.2</label><title>Performance of Banks&apos; ALM Strategies</title>
<p>I. Profitability:</p>
<p>− Interest spread: This is the difference between the interest earned on assets (Like loans) and the interest paid on liabilities (Like deposits). A higher interest spread indicates better profitability.</p>
<p>− Net profit margin: This ratio measures the percentage of revenue left after all expenses, taxes, and stock dividends have been deducted.</p>
<p>II. Liquidity:</p>
<p>− Current ratio: This ratio measures a bank&apos;s ability to pay short-term obligations. A higher current ratio indicates better liquidity.</p>
<p>− Quick ratio: Also known as the acid-test ratio, it measures a bank&apos;s ability to meet short-term liabilities with its most liquid assets.</p>
<p>III. Risk management:</p>
<p>− Capital adequacy ratio: This ratio measures a bank&apos;s capital in relation to its risk-weighted assets. A higher ratio indicates better risk management.</p>
<p>− Credit deposit ratio: This ratio indicates how much a bank lends out of the deposits it has mobilized. A higher ratio suggests better utilization of deposits for lending.</p>
<p>IV. Efficiency:</p>
<p>− Operating expenses to total income: This ratio measures the efficiency of a bank in managing its operating expenses relative to its total income.</p>
<sec id="sec-5"><label>2.2.1</label><title>Recommendations</title>
<p>Improve net profit margin: The bank should focus on curtailing expenses and enhancing value-added services to improve the net profit margin.</p>
<p>Control operating expenses: The bank should implement better management practices to control operating expenses and improve the current ratio.</p>
<p>Monitor short-term liquidity: The bank should closely monitor and manage short-term liquidity to ensure financial stability.</p>
<p>By analyzing these performance metrics, banks can optimize their ALM strategies to achieve better profitability, liquidity, and risk management.</p>
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<sec id="sec-6"><label>2.3</label><title>Integration of DEA and ALM</title>
<p>DEA was employed to assess the efficiency of ALM practices in the selected financial institutions. The DEA model used in this study is the input-oriented Charnes, Cooper, and Rhodes (CCR) model. The input variables include total assets and total liabilities <xref ref-type="bibr" rid="ref-10">[10]</xref>, while the output variables consist of net income, Return on Assets (ROA), and Return on Equity (ROE) <xref ref-type="bibr" rid="ref-11">[11]</xref>. The choice of inputs and outputs is based on their relevance to ALM and their ability to reflect the financial performance of the institutions.</p>
<p>The integration of DEA, ALM and ML might look like this:</p>
<p>Step 1. Define the study&apos;s objective, such as improving the efficiency of ALM in a set of banks and Predicting the Efficiency Score.</p>
<p>Step 2. Collect data on the bank&apos;s assets, liabilities, and other financial metrics.</p>
<p>Step 3. Select a DEA model, for example, a CCR or BCC model and define the inputs (e.g., risk measures) and outputs (e.g., returns).</p>
<p>Step 4. Calculate the efficiency scores for each bank using the DEA model.</p>
<p>Step 5. Analyze the efficiency scores to evaluate the performance of the banks&apos; ALM strategies.</p>
<p>Step 6. Provide recommendations for improving the ALM practices based on the DEA results.</p>
<p>Step 7. Predict the efficiency score for a new financial institution.</p>
<p>By integrating DEA and ALM, the study can provide valuable insights into the efficiency of financial institutions&apos; ALM practices and identify opportunities for optimization.</p>
</sec>
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<sec id="sec-7"><label>3</label><title>Empirical Application</title>
<p>This section encompasses the presentation of the data, the execution of empirical analysis, and the subsequent interpretation of the results.</p>
<p>Step 1. Data collection.</p>
<p>Let&apos;s assume we have data from 12 banks over one year. The data includes the following variables: Assets (In millions), Liabilities (In millions), Net Interest Income (In millions), ROE (In millions).</p>
<table-wrap id="tab1"><label>Table 1</label><caption><p>Asset liability management performance metrics of banks.</p></caption><graphic content-type="pdf-region" xlink:href="pdf-region:3:60.7,384.5,537.1,575.9"/><p content-type="note">This table is shown in the PDF version of the article.</p></table-wrap>
<p>Step 2. Calculate efficiency scores.</p>
<p>We use the CCR model in DEA to evaluate the efficiency of each bank. The inputs for DEA are Assets (A) and Liabilities (L), and the outputs are Net Interest Income (NII) and ROE.</p>
<p>Step 3. Machine learning integration.</p>
<p>We use Machine Learning (Linear regression) to predict the efficiency of new banks based on their assets and liabilities.</p>
<p>I. Training data.</p>
<p>− Inputs: Assets (A) and Liabilities (L).</p>
<p>− Output: Efficiency Score.</p>
<p>− Train the model using the data from 10 banks.</p>
<table-wrap id="tab2"><label>Table 2</label><caption><p>Efficiency assessment of banks based on asset-liability management.</p></caption><graphic content-type="pdf-region" xlink:href="pdf-region:3:66,93.6,537.1,156.9"/><graphic content-type="pdf-region" xlink:href="pdf-region:4:60.8,521.6,537.1,756.2"/><p content-type="note">This table is shown in the PDF version of the article.</p></table-wrap>
<table-wrap id="tab3"><label>Table 3</label><caption><p>Predicted efficiency scores using linear regression.</p></caption><graphic content-type="pdf-region" xlink:href="pdf-region:4:66,464.3,537.1,508.9"/><p content-type="note">This table is shown in the PDF version of the article.</p></table-wrap>
<p>IV. Evaluate Mean Square Error</p>
<table-wrap id="tab4"><label>Table 4</label><caption><p>Model Performance Evaluation for Efficiency Prediction.</p></caption><graphic content-type="pdf-region" xlink:href="pdf-region:4:66,389.9,537.1,420.2"/><p content-type="note">This table is shown in the PDF version of the article.</p></table-wrap>
</sec>
<sec id="sec-8"><label>4</label><title>Prediction</title>
<p>Using the trained model, predict the efficiency score for new Banks.</p>
<table-wrap id="tab5"><label>Table 5</label><caption><p>Predicted efficiency scores for new banks.</p></caption><graphic content-type="pdf-region" xlink:href="pdf-region:4:66,269.5,537.1,318.5"/><p content-type="note">This table is shown in the PDF version of the article.</p></table-wrap>
<fig id="fig1"><label>Figure 1</label><caption><p>Linear regression predictions vs actual efficiency scores.</p></caption><graphic content-type="pdf-region" xlink:href="pdf-region:4:66,97.8,537.1,317.5"/><p content-type="note">This figure is shown in the PDF version of the article.</p></fig>
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<sec id="sec-9"><label>6</label><title>Conclusion</title>
<p>This study demonstrates the synergy of ALM, DEA and ML in evaluating and optimizing the efficiency of banks. By integrating DEA to assess and benchmark ALM strategies, actionable recommendations were provided to enhance financial performance. The inclusion of ML offers an innovative approach to predicting efficiency scores for new banks, further emphasizing the practical applications of this methodology. The findings underscore the importance of efficient resource allocation, risk mitigation, and strategic optimization within the banking sector. By addressing inefficiencies and leveraging predictive analytics, financial institutions can achieve greater stability, profitability, and competitiveness in an ever-evolving market. This study not only contributes to the existing literature but also opens avenues for future research in expanding these methodologies to other financial domains.</p>
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<sec id="sec-10"><title>Acknowledgments</title>
<p>The authors wish to extend their appreciation to the colleagues and peers whose valuable feedback and insights contributed to the enhancement of this study.</p>
</sec>
<sec id="sec-11"><title>Author Contributions</title>
<p>Shokoofeh Banihashemi: Conceptualization, methodology, data analysis, writing–original draft.</p>
<p>Reza Kazemi: Supervision, review &amp; editing, validation, funding acquisition.</p>
<p>All authors have reviewed and approved the final version of the manuscript.</p>
</sec>
<sec id="sec-12"><title>Funding</title>
<p>This research did not receive any external funding.</p>
</sec>
<sec id="sec-13"><title>Data Availability</title>
<p>The data utilized in this study can be obtained upon reasonable request from the corresponding author.</p>
</sec>
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