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Auteurs principaux: Torri, Gabriele, Giacometti, Rosella, Farina, Gianluca
Format: Preprint
Publié: 2025
Sujets:
Accès en ligne:https://arxiv.org/abs/2503.03306
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author Torri, Gabriele
Giacometti, Rosella
Farina, Gianluca
author_facet Torri, Gabriele
Giacometti, Rosella
Farina, Gianluca
contents We introduce a model for the loss distribution of a credit portfolio considering a contagion mechanism for the default of names which is the result of two independent components: an infection attempt generated by defaulting entities and a failed defence from healthy ones. We then propose an efficient recursive algorithm for the loss distribution. Then we extend the framework with more flexible distributions that integrate a contagion component and a systematic factor to better fit real-world data. Finally, we propose an empirical application in which we price synthetic CDO tranches of the iTraxx index, finding a good fit for multiple tranches.
format Preprint
id arxiv_https___arxiv_org_abs_2503_03306
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Modeling portfolio loss distribution under infectious defaults and immunization
Torri, Gabriele
Giacometti, Rosella
Farina, Gianluca
Pricing of Securities
We introduce a model for the loss distribution of a credit portfolio considering a contagion mechanism for the default of names which is the result of two independent components: an infection attempt generated by defaulting entities and a failed defence from healthy ones. We then propose an efficient recursive algorithm for the loss distribution. Then we extend the framework with more flexible distributions that integrate a contagion component and a systematic factor to better fit real-world data. Finally, we propose an empirical application in which we price synthetic CDO tranches of the iTraxx index, finding a good fit for multiple tranches.
title Modeling portfolio loss distribution under infectious defaults and immunization
topic Pricing of Securities
url https://arxiv.org/abs/2503.03306