Please use this identifier to cite or link to this item: https://hdl.handle.net/10419/286745 
Year of Publication: 
2021
Citation: 
[Journal:] Finance and Stochastics [ISSN:] 1432-1122 [Volume:] 25 [Issue:] 3 [Publisher:] Springer [Place:] Berlin, Heidelberg [Year:] 2021 [Pages:] 563-596
Publisher: 
Springer, Berlin, Heidelberg
Abstract: 
The information dynamics in finance and insurance applications is usually modelled by a filtration. This paper looks at situations where information restrictions apply so that the information dynamics may become non-monotone. A fundamental tool for calculating and managing risks in finance and insurance are martingale representations. We present a general theory that extends classical martingale representations to non-monotone information generated by marked point processes. The central idea is to focus only on those properties that martingales and compensators show on infinitesimally short intervals. While classical martingale representations describe innovations only, our representations have an additional symmetric counterpart that quantifies the effect of information loss. We exemplify the results with examples from life insurance and credit risk.
Subjects: 
Credit risk modelling
Life insurance modelling
Information restrictions
Optional projections
Infinitesimal martingale representations
JEL: 
G48
G05
G40
C02
G12
G24
Persistent Identifier of the first edition: 
Creative Commons License: 
cc-by Logo
Document Type: 
Article
Document Version: 
Published Version

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