Math Problem Statement
在实际中,由于中小微企业规模相对较小,也缺少抵押资产,因此银行通常是依据信贷政策、企业的交易票据信息和上下游企业的影响力,向实力强、供求关系稳定的企业提供贷款,并可以对信誉高、信贷风险小的企业给予利率优惠。银行首先根据中小微企业的实力、信誉对其信贷风险做出评估,然后依据信贷风险等因素来确定是否放贷及贷款额度、利率和期限等信贷策略。 某银行对确定要放贷企业的贷款额度为10-100万元;年利率为4%~15%;贷款期限为1年。附件1~3分别给出了123家有信贷记录企业的相关数据、302家无信贷记录企业的相关数据和贷款利率与客户流失率关系的2019年统计数据。该银行请你们团队根据实际和附件中的数据信息,通过建立数学模型研究对中小微企业的信贷策略,主要解决下列问题: (1) 对附件1中123家企业的信贷风险进行量化分析,给出该银行在年度信贷总额固定时对这些企业的信贷策略。
Solution
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Math Problem Analysis
Mathematical Concepts
Credit Risk Quantification
Logistic Regression
Linear Programming
Formulas
Logistic Regression Model: logit(p) = β0 + β1x1 + β2x2 + ... + βnxn
Theorems
Optimization Theorems in Linear Programming
Suitable Grade Level
Graduate Level
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