违约风险的过滤模型

Q3 Mathematics
H. Nakagawa
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引用次数: 25

摘要

本文提出了一个数学金融违约风险的过滤模型。我们把从某个正数开始且不能直接观测到的一维过程在零处的第一次撞击时间视为违约发生的时间。讨论了在不完全信息条件下命中时间的条件律。我们利用参考测度变化技术和一种条件期望的新公式,得到了所谓的风险率过程。讨论了危险率过程与命中时间条件律之间的关系。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
A Filtering Model on Default Risk
In this paper, we present a filtering model on a default risk related to mathematical finance. We regard as the time when a default occurs the first hitting time at zero of a one dimensional process which starts at some positive number and is not directly observed. We discuss the conditional law of the hitting time under imperfect information. We use the reference measure change technique and a new formula on a kind of conditional expectation to obtain a so-called hazard rate process. It is also discussed what the relation between the hazard rate process and the conditional law of the hitting time is like.
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来源期刊
CiteScore
0.50
自引率
0.00%
发文量
0
审稿时长
>12 weeks
期刊介绍: La política de la Revista de Ciencias Matemáticas de la Universidad de Tokio es publicar trabajos de investigación originales en las ciencias matemáticas, incluidas las matemáticas puras y aplicadas. Además, también es nuestra política publicar la revista en formato impreso, así como electrónicamente en Internet. Precisamente hablando, los manuscritos de más de un año están disponibles en nuestra página de inicio en formato PDF.
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