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| Content Provider | Springer Nature Link |
|---|---|
| Author | Acciaio, Beatrice Penner, Irina Föllmer, Hans |
| Copyright Year | 2012 |
| Abstract | We study the risk assessment of uncertain cash flows in terms of dynamic convex risk measures for processes as introduced in Cheridito et al. (Electron. J. Probab. 11(3):57–106, 2006). These risk measures take into account not only the amounts but also the timing of a cash flow. We discuss their robust representation in terms of suitably penalised probability measures on the optional σ-field. This yields an explicit analysis both of model and discounting ambiguity. We focus on supermartingale criteria for time consistency. In particular, we show how “bubbles” may appear in the dynamic penalisation, and how they cause a breakdown of asymptotic safety of the risk assessment procedure. |
| Ending Page | 709 |
| Page Count | 41 |
| Starting Page | 669 |
| File Format | |
| ISSN | 09492984 |
| e-ISSN | 14321122 |
| Journal | Finance and Stochastics |
| Issue Number | 4 |
| Volume Number | 16 |
| Language | English |
| Publisher | Springer-Verlag |
| Publisher Date | 2012-04-04 |
| Publisher Place | Berlin, Heidelberg |
| Access Restriction | One Nation One Subscription (ONOS) |
| Subject Keyword | Model ambiguity Finance/Investment/Banking Time consistency Cash subadditivity Risk theory, insurance Signal detection and filtering Dynamic convex risk measures Asymptotic safety Probability Theory and Stochastic Processes Quantitative Finance Dynamic penalisation Bubbles Utility theory Statistics for Business/Economics/Mathematical Finance/Insurance Cash flows Robust representation Economic Theory Discounting ambiguity |
| Content Type | Text |
| Resource Type | Article |
| Subject | Finance Statistics and Probability Statistics, Probability and Uncertainty |
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