HJM模型在信用风险中的应用
发布时间:2018-01-10 21:11
本文关键词:HJM模型在信用风险中的应用 出处:《中国科学技术大学》2017年硕士论文 论文类型:学位论文
更多相关文章: HJM模型 信用评级 可违约债券 可违约期限结构 风险中性定价
【摘要】:2008年金融危机以来,风险管理已越来越受到监管机构和各类金融机构的重视,信用风险便是其中的一个重要的话题,关于信用风险的研究由来已久,历史上有各种各样的模型对其进行了分析。本文主要是对HJM模型在信用风险中的应用作了深入研究,文章首先介绍了一些信用风险相关的基本知识和一些相关的金融数学基础;之后引入HJM模型中关于远期利率模型的基本假设,在按照国债价值部分回收的机制下,从两种信用评级的可违约债券入手,通过用HJM模型系数作为输入给出了可违约债券的价格公式,并且建立它和对应的风险中性定价公式之间的关系;第二大部分将信用评级扩大至K≥3的情形,给出了类似的定价公式。此外还讨论了其他回收机制下的价格。最后给出了 HJM模型在信用衍生品中的一些应用。
[Abstract]:Since the financial crisis in 2008, risk management has been paid more and more attention by regulators and all kinds of financial institutions. Credit risk is one of the important topics, and the research on credit risk has a long history. In the history, there are many kinds of models to analyze it. This paper mainly studies the application of HJM model in credit risk. The article first introduces some basic knowledge of credit risk and some related financial mathematical basis; Then we introduce the basic hypothesis of forward interest rate model in HJM model and start with two kinds of credit rating defaultable bonds under the mechanism of partial recovery of national debt value. By using the HJM model coefficient as the input, the price formula of the defaultable bond is given, and the relationship between it and the corresponding risk-neutral pricing formula is established. The second part extends the credit rating to K 鈮,
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