基于区间数DEA的贷款定价模型研究

doi:10.12005/orms.2015.0176

运筹与管理 ›› 2015, Vol. 24 ›› Issue (5): 189-196.DOI: 10.12005/orms.2015.0176

基于区间数DEA的贷款定价模型研究

迟国泰¹,杜永强¹,郝熙格²,刘峻伯³

1.大连理工大学工商管理学院,辽宁大连116024;
2.大连理工大学物理与光电工程学院,辽宁大连116024;
3.大连理工大学数学科学学院,辽宁大连116024

收稿日期:2013-09-13 出版日期:2015-10-12
作者简介:迟国泰(1955-),男,教授,博士生导师,管理科学与工程博士;杜永强(1984-),男,博士生,;郝熙格(1992-),女,电子科学与技术专业本科生;刘峻伯(1993-),男,应用数学专业本科生。
基金资助:
国家自然科学基金资助项目(71171031,71472027);国家自然科学基金青年科学基金项目(71201018);教育部人文社会科学研究青年基金资助项目(11YJC790157);辽宁省经济社会发展重点课题(20151s1ktzdin-05);辽宁省博士启动基金项目(20131017);河北省自然科学基金青年科学基金(G2012501013)

Research on Loan Pricing Model Based on the Interval DEA

CHI Guo-tai¹, DU Yong-qiang¹, HAO Xi-ge², LIU Jun-bo³

1.School of Business Management, Dalian University of Technology, Dalian 116024, China;
2.School of Physics and Optoelectronic Engineering, Dalian University of Technology, Dalian 116024, China;
3.School of Mathematical Science, Dalian University of Technology, Dalian 116024, China

Received:2013-09-13 Online:2015-10-12

摘要/Abstract

摘要： 在贷款的买方市场或充分竞争的金融环境中,贷款利率不会由银行自己说了算,因此建立银企双方共同接受的贷款利率定价模型在现实中尤为重要。本文采用区间数的形式反映存款利息支出率、违约风险补偿率等定价指标的不确定性,以已结清贷款最小定价效率、最大定价效率组成的贷款定价效率区间为目标,以新贷款的贷款利率为决策变量,通过逆向求解区间数DEA模型反推出新贷款的贷款利率区间,建立了基于区间数DEA的贷款定价模型。本文的创新与特色一是以已结清贷款的存款利息支出率、目标利润率等指标为输入,以已结清贷款的贷款利率为输出,利用DEA模型求得已结清贷款的实际最小效率及最大效率。二是以银企双方均可接受的贷款定价效率区间为目标、以新贷款的存款利息支出率等用区间数形式表示的贷款成本为投入,反推出贷款利率的取值区间。三是通过区间数形式来反映违约风险补偿率、目标利润率等定价指标的不确定性,改变了现有研究将目标利润、贷款费用、违约损失等变量看作常数来定价的不合理现状。研究表明:存款利息支出率、费用支出率、违约风险补偿率及目标利润率均与贷款利率成正比。企业提高在贷款银行中的资金结算比率、存贷比率可以降低贷款利率。

关键词: 贷款定价, 区间数, 可接受利率, DEA, 贷款利率

Abstract: In the buyer’s market of loan or the sufficiently competitive financial environment, the loan interest rate will not be decided by banks alone. Therefore, to establish mutually acceptable loan interest rate pricing model between the bank and enterprise is particularly important in the reality. In this paper, we use interval numbers to reflect the deposit interest rate, compensation rate of default risk and some other uncertainties of pricing indicators. We make up loan pricing efficiency interval with the old loan minimum and maximum pricing efficiency. Then we take them as the target and use the new loan interest rate as decision variables. We establish the new loan pricing model based on interval number DEA through reversely solving interval DEA model. The innovation and contributions lie in, firstly, taking the deposit interest rate of the old loan, target profit margin and some other pricing indicators as inputs and old loan interest as outputs, and using DEA model to get the actual minimum and maximum pricing efficiency of the old loan; secondly, taking mutually acceptable loan pricing efficiency interval as the outputs and take interval number pricing indicators, such as interval number deposit interest rate of new loans as inputs. In this way, we can get the loan rate interval; thirdly, using interval numbers to reflect compensation rate of default risk, target profit margin and other pricing indicators instead of constant numbers, so as to change the unreasonable situation that the current study uses constant numbers to represent these parameters. research result shows that deposit interest rate, expense rate, compensation rate of default risk and target profit margin are proportional to the loan interest rate. The loan interest rate can be reduced through improving capital settlement ratio and loan-to-deposit ratio.

Key words: loan pricing, interval number, acceptable interest, DEA, loan interest rates

中图分类号:

F830.33

迟国泰,杜永强,郝熙格,刘峻伯. 基于区间数DEA的贷款定价模型研究[J]. 运筹与管理, 2015, 24(5): 189-196.

CHI Guo-tai, DU Yong-qiang, HAO Xi-ge, LIU Jun-bo. Research on Loan Pricing Model Based on the Interval DEA[J]. Operations Research and Management Science, 2015, 24(5): 189-196.

参考文献

[1]Hannagan T A. Loan and relationship pricing practice[J].The RMA Journal , 2004, 87(4): 60-62.
[2]何韧.银企关系与银行贷款定价的实证研究[J].财经论丛,2010,(1):57-63.
[3]邓超,敖宏,胡威,王翔.基于关系型贷款的大银行对小企业的贷款定价研究[J].经济研究,2010,(2):83-96.
[4]Edelberg W. Risk-based pricing of interest rates for consumer loans[J]. Journal of Monetary Economics, 2006, (53): 2283-2298.
[5]毛捷,张学勇.基于亚式期权模型的贷款定价研究—来自中国的经验事实与理论模型[J].金融研究,2009,(5):71-83.
[6]Stango V. Pricing with consumer switching costs: evidence from the credit card market[J]. The Journal of Industrial Economics, 2002, 55(4): 475-491.
[7]Stein R M. The relationship between default prediction and lending profits: integrating ROC analysis and loan pricing[J]. Journal of Banking & Finance, 2005, 29(5): 1213-1236.
[8]Lee W C. Redefinition of the KMV model’s optimal default point based on genetic algorithms-evidence from taiwan[J]. Expert Systems with Applications, 2011, 38: 10107-10113.
[9]迟国泰,曹勇,党均章.基于最优负债系数的上市银行违约概率测算模型与实证[J].运筹与管理,2012,21(3):176-186.
[10]隋聪,迟国泰,闫达文.基于DEA二分法的贷款定价模型[J].预测,2009,28(5):27-31.
[11]隋聪,迟国泰.基于随机生产函数的贷款定价模型及应用[J].管理科学学报,2010,13(9):16-25.
[12]迟国泰,隋聪.基于未来DEA效率的贷款定价模型[J].系统工程理论与实践,2011,31(1):18-27.
[13]Wei Q L, Zhang J Z, Zhang X S. An inverse DEA model fou inputs/outputs estimate[J]. European Journal of Operational Research, 2000, (121): 151-163.
[14]吴文江.指标可取区间数的决策单元的DEA评价[J].数学的实践与认识,2009,39(2):1-9.

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基于区间数DEA的贷款定价模型研究

Research on Loan Pricing Model Based on the Interval DEA

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