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| Type | Working Paper |
| Scope | Discipline-based scholarship |
| Title | Intra-Horizon Expected Shortfall and Risk Structure in Models with Jumps |
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| Institution | University of Zurich |
| Series Name | Swiss Finance Institute Research Paper |
| Number | 19-76 |
| ISSN | 1556-5068 |
| Date | 2020 |
| Abstract Text | The present article deals with intra-horizon risk in models with jumps. Our general understanding of intra-horizon risk is along the lines of the approach taken in [BRSW04], [Ro08], [BMK09], [BP10], and [LV19]. In particular, we believe that quantifying market risk by strictly relying on point-in-time measures cannot be deemed a satisfactory approach in general. Instead, we argue that complementing this approach by studying measures of risk that capture the magnitude of losses potentially incurred at any time of a trading horizon is necessary when dealing with (m)any financial position(s). To address this issue, we propose an intra-horizon analogue of the expected shortfall for general profit and loss processes and discuss its key properties. Our intra-horizon expected shortfall is well-defined for (m)any popular class(es) of Levy processes encountered when modeling market dynamics and constitutes a coherent measure of risk, as introduced in [CDK04]. On the computational side, we provide a simple method to derive the intra-horizon risk inherent to popular Levy dynamics. Our general technique relies on results for maturity-randomized first-passage probabilities and allows for a derivation of diffusion and single jump risk contributions. These theoretical results are complemented with an empirical analysis, where popular Levy dynamics are calibrated to S&P 500 index data and an analysis of the resulting intra-horizon risk is presented. |
| Free access at | Official URL |
| Official URL | https://papers.ssrn.com/sol3/papers.cfm?abstract_id=3510202 |
| Other Identification Number | merlin-id:19383 |
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