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浙江大学学报（理学版）
浙江大学学报（理学版）  2018, Vol. 45 Issue (3): 320-329    DOI: 10.3785/j.issn.1008-9497.2018.03.009
数学与计算机科学     
在美国破产保护法第十一章下公司债券的定价和最佳破产边界研究
林建伟
莆田学院 数学与金融学院, 福建 莆田 351100
A study on the valuation of the corporate debt with the finite maturity under Chapter 11 of the U.S bankruptcy code and optimal bankruptcy boundary
LIN Jianwei
Mathematics and Finance College, Putian University, Putian 351100, Fujian Province, China
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摘要： 为了更好地处理公司破产重组问题，综合采用结构化方法和最优停时技巧，基于美国破产保护法第十一章，分析了有限到期日公司债券的定价问题，本质上为最优停时问题.用偏微分方程法证明了最佳破产边界的存在唯一性和单调性，得到了公司策略债务支付息票的显式表达式.数值结果表明：在美国破产保护法第十一章下，公司的破产率更高，股东可通过提前宣布破产而获益，而债权人能否获益依赖于谈判因子和谈判费用.
关键词： 公司债券;  美国破产保护法第十一章;  最佳破产边界;  最优停时;  存在唯一性    
Abstract: In order to better deal with the problem of corporate bankruptcy reorganization, this paper analyses the pricing problem of the corporate debt with finite maturity under Chapter 11 of the US bankruptcy code by synthetically applying structured methods and optimal stopping techniques. It is formulated as an optimal stopping time problem. The existence, uniqueness and monotonicity of the resulting optimal bankruptcy declaring boundary are proved rigorously by partial differential equations (PDEs) method and the explicit expression of the debt service while in bankruptcy is obtained. Numerical results show that in the presence of Chapter 11, the bankruptcy probability of the company is higher than with Leland model, and the equity holders are benefited from an earlier declaration of bankruptcy. However, whether debt holders can benefit from it depends on the negotiating ability and negotiation cost.
Key words: corporate debt    Chapter 11 of the U.S bankruptcy code    optimal bankruptcy declaring boundary    optimal stopping time    existence and uniqueness
收稿日期: 2017-06-29 出版日期: 2018-03-15
CLC:  F830  
基金资助: 国家自然科学基金资助项目（11471175，11001142）；福建省科技重点项目（JY2016XSJ01）；福建省自然科学基金资助项目（2016J01678）；福建省社会科学规划项目（FJ2016B235）；莆田学院国家基金预研项目（2017073）.
作者简介: 林建伟(1979-),ORCID:http://orcid.org/0000-0002-3754-6272,男,博士,副教授,主要从事金融数学研究,E-mail:jianwei_lin@126.com.
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林建伟

引用本文:

林建伟. 在美国破产保护法第十一章下公司债券的定价和最佳破产边界研究[J]. 浙江大学学报（理学版）, 2018, 45(3): 320-329.

LIN Jianwei. A study on the valuation of the corporate debt with the finite maturity under Chapter 11 of the U.S bankruptcy code and optimal bankruptcy boundary. Journal of Zhejiang University (Science Edition), 2018, 45(3): 320-329.

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https://www.zjujournals.com/sci/CN/10.3785/j.issn.1008-9497.2018.03.009    或    https://www.zjujournals.com/sci/CN/Y2018/V45/I3/320

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