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- Title
Time-dynamic evaluations under non-monotone information generated by marked point processes.
- Authors
Christiansen, Marcus C.
- 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 insurance; POINT processes; CREDIT risk; FINANCIAL risk; LIFE insurance; RISK (Insurance)
- Publication
Finance & Stochastics, 2021, Vol 25, Issue 3, p563
- ISSN
0949-2984
- Publication type
Article
- DOI
10.1007/s00780-021-00456-5