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基于区间效率的贷款定价研究
引用本文:程砚秋,迟国泰,李刚.基于区间效率的贷款定价研究[J].数学的实践与认识,2013,43(8):88-97.
作者姓名:程砚秋  迟国泰  李刚
作者单位:1. 东北财经大学会计学院,辽宁大连116025;中国内部控制研究中心,辽宁大连116025
2. 大连理工大学工商管理学院,辽宁大连,116024
3. 东北大学秦皇岛分校,河北秦皇岛,066004
基金项目:国家自然科学基金青年科学基金,国家自然科学基金,河北省自然科学基金青年科学基金
摘    要:以存款利息支出率、费用支出率、预期违约损失率、目标利润率等4个定价指标作为输入,以贷款利率作为输出,采用支持向量机回归算法建立基于区间效率的贷款定价模型.创新与特色一是通过区间数形式来反映预期违约损失率、目标利润率、费用支出率等,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确定性数值来定价的现状.使贷款利率更具有竞争性.二是通过比较不同核函数、核参数下的训练样本的贷款效率区间与合理的贷款效率区间的匹配程度,确定贷款定价模型最优的核函数和核参数,进而建立了贷款定价模型.间接解决了在考虑贷款价格能否被银行、客户接受情况下贷款利率确定的问题.

关 键 词:贷款定价  区间效率  支持向量机  DEA

Research on Loan Pricing Model Based on the Interval Efficiency
CHENG Yan-qiu , CHI Guo-tai , LI Gang.Research on Loan Pricing Model Based on the Interval Efficiency[J].Mathematics in Practice and Theory,2013,43(8):88-97.
Authors:CHENG Yan-qiu  CHI Guo-tai  LI Gang
Institution:1.School of Accounting,Dongbei University of Finance and Economics,Dalian,116025,China) (2.China Internal Control Research Center,Dalian,116025,China) (3.School of Business Management,Dalian University of Technology,Dalian,116024,China) (4.Northeast University at Qinhuangdao,Hebei Qinhuangdao 066004,China)
Abstract:Taking deposit interest rate,expenditure rate,expected default loss rate,the target profit as inputs,loan price as output,the loan pricing model based on the interval efficiency is established based on support vector regression.The special and contribution lies in:firstly,Deposit interest rate,expenditure rate,expected default loss rate,the target profit is expressed as interval numbers.It changes the problem that deposit interest rate,expenditure rate,expected default loss rate,the target profit is expressed as deterministic values in the existing research.It ensures the loan price is more competitive.Secondly,considering the loan price can be accepted by banks and clients,this paper determines the optimal kernel function and the optimal kernel parameters by comparing the efficiency interval in different kernel function and kernel parameters and the reasonable efficiency interval.Then the loan pricing model based on the interval efficiency is established.It solves the loan pricing problem considering the loan price can be accepted by banks and clients.
Keywords:loan pricing  interval efficiency  support vector machines  DEA
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