{"title":"多元线性回归与神经网络模型在博茨瓦纳银行业绩预测中的比较","authors":"Hassan Kablay, Victor Gumbo","doi":"10.3844/jmssp.2021.88.95","DOIUrl":null,"url":null,"abstract":"Corresponding Author: Hassan Kablay Department of Mathematics, University of Botswana, Private Bag UB00704, Gaborone, Botswana Email: hassankablay@gmail.com Abstract: Bank performance is critical to the banking sector and the economy as a whole. In this study, Multiple Linear Regression (MLR) technique and feed forward Neural Network (NN) are used to predict the performance of 11 banks in Botswana. Return on Assets (RoA) is used as the dependent variable, while management quality, credit risk, liquidity, financial leverage and capital adequacy are used as the independent variables. The data is sourced from the financial reports for the year range 2015-2019. When using MLR, the cost-to-income (C_I) ratio (management quality measure) and the loan loss provision to total loans (LLP_TL) ratio (credit risk measure) are found to be the two most significant drivers of bank performance. The NN has an R value of 84.37% which is significantly higher than the R value of 70.00% for the MLR. The cost-to income ratio is found to be the most important driver of the NN. The performance of the two methods (MLR and NN) is then assessed using the Mean Absolute Error (MAE) and Mean Square Error (MSE) as the performance indicators. When using the validation sample, it was found out that the MLR has a MAE of 0.00611 while the NN has a MAE of 0.00472. The MLR has a MSE of 0.00008 in comparison to the NN with a lower MSE of 0.00004. It was then concluded that the NN has better predictive abilities than the MLR.","PeriodicalId":41981,"journal":{"name":"Jordan Journal of Mathematics and Statistics","volume":"25 1","pages":""},"PeriodicalIF":0.3000,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Comparison of Multiple Linear Regression and Neural Network Models in Bank Performance Prediction in Botswana\",\"authors\":\"Hassan Kablay, Victor Gumbo\",\"doi\":\"10.3844/jmssp.2021.88.95\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Corresponding Author: Hassan Kablay Department of Mathematics, University of Botswana, Private Bag UB00704, Gaborone, Botswana Email: hassankablay@gmail.com Abstract: Bank performance is critical to the banking sector and the economy as a whole. In this study, Multiple Linear Regression (MLR) technique and feed forward Neural Network (NN) are used to predict the performance of 11 banks in Botswana. Return on Assets (RoA) is used as the dependent variable, while management quality, credit risk, liquidity, financial leverage and capital adequacy are used as the independent variables. The data is sourced from the financial reports for the year range 2015-2019. When using MLR, the cost-to-income (C_I) ratio (management quality measure) and the loan loss provision to total loans (LLP_TL) ratio (credit risk measure) are found to be the two most significant drivers of bank performance. The NN has an R value of 84.37% which is significantly higher than the R value of 70.00% for the MLR. The cost-to income ratio is found to be the most important driver of the NN. The performance of the two methods (MLR and NN) is then assessed using the Mean Absolute Error (MAE) and Mean Square Error (MSE) as the performance indicators. When using the validation sample, it was found out that the MLR has a MAE of 0.00611 while the NN has a MAE of 0.00472. The MLR has a MSE of 0.00008 in comparison to the NN with a lower MSE of 0.00004. It was then concluded that the NN has better predictive abilities than the MLR.\",\"PeriodicalId\":41981,\"journal\":{\"name\":\"Jordan Journal of Mathematics and Statistics\",\"volume\":\"25 1\",\"pages\":\"\"},\"PeriodicalIF\":0.3000,\"publicationDate\":\"2021-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Jordan Journal of Mathematics and Statistics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.3844/jmssp.2021.88.95\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Jordan Journal of Mathematics and Statistics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.3844/jmssp.2021.88.95","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 1
摘要
通讯作者:Hassan Kablay博茨瓦纳大学数学系,Private Bag UB00704,哈博罗内,博茨瓦纳电子邮件:hassankablay@gmail.com摘要:银行绩效对银行业和整个经济至关重要。本研究采用多元线性回归(MLR)技术和前馈神经网络(NN)对博茨瓦纳11家银行的业绩进行了预测。以资产收益率(RoA)为因变量,以管理质量、信用风险、流动性、财务杠杆和资本充足率为自变量。数据来源于2015-2019年的财务报告。当使用MLR时,发现成本收入(C_I)比率(管理质量度量)和贷款损失拨备与总贷款(LLP_TL)比率(信用风险度量)是银行绩效的两个最重要的驱动因素。NN的R值为84.37%,显著高于MLR的R值70.00%。发现成本收入比是神经网络最重要的驱动因素。然后使用平均绝对误差(MAE)和均方误差(MSE)作为性能指标评估两种方法(MLR和NN)的性能。当使用验证样本时,发现MLR的MAE为0.00611,而NN的MAE为0.00472。MLR的MSE为0.00008,而NN的MSE较低,为0.00004。然后得出结论,神经网络比MLR具有更好的预测能力。
Comparison of Multiple Linear Regression and Neural Network Models in Bank Performance Prediction in Botswana
Corresponding Author: Hassan Kablay Department of Mathematics, University of Botswana, Private Bag UB00704, Gaborone, Botswana Email: hassankablay@gmail.com Abstract: Bank performance is critical to the banking sector and the economy as a whole. In this study, Multiple Linear Regression (MLR) technique and feed forward Neural Network (NN) are used to predict the performance of 11 banks in Botswana. Return on Assets (RoA) is used as the dependent variable, while management quality, credit risk, liquidity, financial leverage and capital adequacy are used as the independent variables. The data is sourced from the financial reports for the year range 2015-2019. When using MLR, the cost-to-income (C_I) ratio (management quality measure) and the loan loss provision to total loans (LLP_TL) ratio (credit risk measure) are found to be the two most significant drivers of bank performance. The NN has an R value of 84.37% which is significantly higher than the R value of 70.00% for the MLR. The cost-to income ratio is found to be the most important driver of the NN. The performance of the two methods (MLR and NN) is then assessed using the Mean Absolute Error (MAE) and Mean Square Error (MSE) as the performance indicators. When using the validation sample, it was found out that the MLR has a MAE of 0.00611 while the NN has a MAE of 0.00472. The MLR has a MSE of 0.00008 in comparison to the NN with a lower MSE of 0.00004. It was then concluded that the NN has better predictive abilities than the MLR.