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Titlebook: Optimal Control of Credit Risk; Didier Cossin,Felipe M. Aparicio Book 2001 Springer Science+Business Media Dordrecht 2001 credit risk.deri

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发表于 2025-3-21 17:26:20 | 显示全部楼层 |阅读模式
书目名称Optimal Control of Credit Risk
编辑Didier Cossin,Felipe M. Aparicio
视频video
丛书名称Advances in Computational Management Science
图书封面Titlebook: Optimal Control of Credit Risk;  Didier Cossin,Felipe M. Aparicio Book 2001 Springer Science+Business Media Dordrecht 2001 credit risk.deri
描述.Optimal Control of Credit Risk. presents an alternativemethodology to deal with a financial problem that has not been wellanalyzed yet: the control of credit risk. Credit risk has becomerecently the center of interest of the financial community, with newinstruments (such as Credit Risk Derivatives) and new methodologies(such as Credit Metrics) being developed. The recent literature hasfocused on the pricing of credit risk. On the other hand,practitioners tend to eliminate credit risk rather than price it. Theydo so via collateralization. The authors propose here a methodologicalbasis for an optimal collateralization..The monograph is organized as follows: Chapter 1 reviews the mainavenues of literature related to our problem; Chapter 2 provides abrief overview of the main optimal control principles; and Chapter 3presents the models and their setting..In the remaining chapters, the authors propose two sets of programs.One set of programs will apply in cases where the information on theassets=value is readily available (.full observation. case), whilethe other applies when costly audits are needed in order to assessthis value (.partial observation. case)..In either case, the modelin
出版日期Book 2001
关键词credit risk; derivatives; modeling; pricing
版次1
doihttps://doi.org/10.1007/978-1-4615-1393-3
isbn_softcover978-1-4613-5531-1
isbn_ebook978-1-4615-1393-3Series ISSN 1388-4301
issn_series 1388-4301
copyrightSpringer Science+Business Media Dordrecht 2001
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The Model,in financial guarantees. It can be used for ongoing control of guarantees (i.e., impulse control) or for optimal seizure timing (i.e., stopping time). In the real world, some situations will allow for ongoing control; others will leave only seizure as a control mean. When ongoing control is allowed,
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Full-Observation Case,tion case, where the guarantor can only monitor the value of the guarantee through costly audits, the problem consists also in deciding when it is best to audit). First of all, we have the value of the guarantee at time ., .(.), modelled as a .with drift and diffusion parameters, α(.(.).) and σ(.(.)
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Partial Observation Case,rrent position of the guaranteed party’s assets. This situation will change the program in two different dimensions: (1) the dynamics of the controlled assets’ value, .(.), and (2) the costs faced by the guarantor. Because of these auditing costs, the guarantor will be led to observe the assets’ val
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Numerical Approaches,c complexity of the problems, which prevents from obtaining qualitative information on the system’s behavior. In spite of the large amount of research done in computational methods for optimal control, the part concerning management problems is rather small.
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Conclusions,uarantees. The methodology of Quasi Variational Inequalities was adapted to our problem, and exemplifies a possible approach to impulse control problems in finance. Models of optimal auditing and control policies in a variety of situations were derived: full observation with repeated control, full o
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978-1-4613-5531-1Springer Science+Business Media Dordrecht 2001
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