面向违约风险的商业银行存款担保费率实物期权定价模型

蒋洪迅,刘子合,许伟,闫超超

系统科学与数学 ›› 2019, Vol. 39 ›› Issue (7) : 1068-1077.

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系统科学与数学 ›› 2019, Vol. 39 ›› Issue (7) : 1068-1077. DOI: 10.12341/jssms13665
论文

面向违约风险的商业银行存款担保费率实物期权定价模型

    蒋洪迅,刘子合,许伟,闫超超
作者信息 +

Real Option Pricing Based Credit Guarantee of Commercial Banks Under Default Risks

    JIANG Hongxun ,LIU Zihe, XU Wei ,YAN Chaochao
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摘要

为了抵御存款挤兑以避免金融市场动荡, 中央银行与各商业银行之间隐含着信用担保关系. 央行有效监管, 显然需要有效甄别各商业银行存款资产结构和波动特征. 文章提出了一种基于实物期权定价的商业银行存款信用担保费率模型, 通过公式推导和等价变换, 获得一个 基于违约风险测算以获得回购期权定价的解析表达式. 根据该费率模型, 基于工、农、建、交、中、招等国内6家主要国有商业银行的公开数据进行实证分析. 试验 结果表明, 根据银行存款资产特征, 央行应该采取差别化担保费率政策, 提取比例 与商业银行的资产规模无关, 而应与该行存款波动率呈正比例关系.

Abstract

To avoid the turbulence of domestic financial markets, the central bank has to implicitly provide credit guarantees for commercial banks. It is obviously necessary to discriminate effectively the asset volatility characteristics of various commercial banks for effectively supervision. This paper proposes a real option pricing based credit guarantee model for commercial banks to deal with default risks. And more, through formula deduction and equivalent transformation, this model is formulated an analytical expression. Empirical analysis is conducted using the public data of 6 major state-owned commercial banks, including Industrial and Commercial Bank of China (ICBC), Agricultural Bank of China (ABC), China Construction Bank (CCB), and so on. The results indicate that the central bank should differentiate the rates of commercial banks, according to their asset characteristics. The ratios have nothing to do with their asset scale, but should comply with their deposit volatilities.

关键词

期权定价 / 抵押比例 / 波动率 / 实物期权 / 看跌期权

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蒋洪迅 , 刘子合 , 许伟 , 闫超超. 面向违约风险的商业银行存款担保费率实物期权定价模型. 系统科学与数学, 2019, 39(7): 1068-1077. https://doi.org/10.12341/jssms13665
JIANG Hongxun , LIU Zihe , XU Wei , YAN Chaochao. Real Option Pricing Based Credit Guarantee of Commercial Banks Under Default Risks. Journal of Systems Science and Mathematical Sciences, 2019, 39(7): 1068-1077 https://doi.org/10.12341/jssms13665
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