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中国管理科学 ›› 2020, Vol. 28 ›› Issue (11): 71-79.doi: 10.16381/j.cnki.issn1003-207x.2020.11.008

• 论文 • 上一篇    下一篇

基于逆周期缓冲机制的或有可转债研究

王文华, 秦学志, 王麟   

  1. 大连理工大学经济管理学院, 辽宁 大连 116024
  • 收稿日期:2018-03-28 修回日期:2019-02-01 出版日期:2020-11-20 发布日期:2020-12-01
  • 通讯作者: 秦学志(1965-),男(汉族),辽宁大连人,大连理工大学经济与管理学院,教授,博导,研究方向:金融工程,E-mail:qinxz@dlut.edu.cn. E-mail:qinxz@dlut.edu.cn.
  • 基金资助:
    国家自然科学基金资助项目(71471026,71871040);国家自然科学基金重点项目(71731003);国家社科基金重大项目(18ZDA095)和辽宁省"兴辽英才计划"哲学社会科学领军人才项目(XLYC1804005)联合资助

Pricing of the Contingent Convertible Bond with Countercyclical Buffer Mechanism

WANG Wen-hua, QIN Xue-zhi, WANG Lin   

  1. School of Economics and Management, Dalian University of Technology, Dalian 116024, China
  • Received:2018-03-28 Revised:2019-02-01 Online:2020-11-20 Published:2020-12-01

摘要: 基于逆周期缓冲机制的双触发器或有可转债(简记为CoCoCb)为债券发行银行提供资本再重组机会。当经济与金融系统性风险累积到较高的水平,CoCoCb可以按照事先约定的折扣率回售,或者被转换为等价值的普通或有可转债(CoCo)。当债券发行银行陷入财务困境时,CoCo转换为股权以吸收银行的损失,并维持银行正常运营。CoCoCb的回售机制允许银行在经济与金融危机爆发前债务减记,即CoCoCb嵌入了逆周期缓冲机制;债转股机制使得CoCoCb具有很强的损失吸收能力。基于Black-Scholes期权定价模型、Jarrow-Turnbull简约化定价模型和无违约风险假设,利用复制方法求解零息票CoCoCb定价解析式。实证分析表明:信贷与GDP的缺口(Gap)值达到峰值事件服从泊松过程。选取适当的回售比率能保证CoCoCb兼具逆周期缓冲与损失吸收能力。

关键词: 或有可转债, 逆周期缓冲性质, 损失吸收能力

Abstract: The unexpected bankruptcy of systemically important financial institutions (SIFIs) may even trigger a global economy-wide recession like the global financial crisis of 2007-2009, such that the government regulators have to bail out the troubled SIFIs with taxpayers' money. However, these governments' bailouts will certainly lead to annoying moral hazard problems. In order to enhance the loss absorption capacity of SIFIs and reduce the actual economic impact of its bankruptcy, Basel III proposed in 2012 that SIFIs need to aggrandize countercyclical capital buffers (CCyB) when systemic risks caused by excess credit growth accumulate to a certain risky extent. CCyB is expected to ensure that SIFIs has sufficient capital buffers to cope with future economic and financial crises.
A contingent convertible bond with countercyclical buffer mechanism (CoCoCb) which is based on the proposals of dual-trigger CoCos in Squam Lake working group, McDonald and Allen and Tang is employed to restrain the moral hazard problems. CoCoCb is expected to promote a more resilient banking sector. When systemic risks accumulate to a certain risky extent, investors could put back CoCoCb at a predetermined discount price in order to avoid potential huge losses. The put-back mechanism provides the issuing bank with a way to recapitalize, which is similar to the primary purpose of the CCyB. Alternatively, investors could convert the bond into common contingent convertible bond (CoCo). Therewith, CoCo could be automatically converted into common equity if the issuer falls into financial distress. The automatic conversion mechanism keeps the CoCoCb with more power in loss absorbing capacity.
Based on the Black-Scholes model, Jarrow-Turnbull mode and the default-free assumption, a closed-form pricing formula for a zero-coupon CoCoCb is obtained. In addition, the countercyclical buffer property, loss absorbing capacity and investor-friendly property of CoCoCb are also analyzed. A set of data is exployed from the official website of Bank for International Settlements from March 31, 1962 to June 30, 2017, which includes quarterly data on credit and GDP in a total of 39 countries and regions, including the ratio of credit to GDP, the long-term trend of credit and GDP, and the gap between credit and GDP. Credit here refers to generalized credit, and Chinese credit data refers to the total non-financial private sector credit calculated by the People's Bank of China.
Consequently, the event of that the credit and GDP gap value increases to the peak is subject to the Poisson process; an appropriate putting-back ratios ensure that CoCoCb combines countercyclical buffer property and loss absorbing capacity.

Key words: contingent convertible bond, countercyclical buffer property, loss absorbing capacity

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