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Multivariate Shortfall Risk Allocation and Systemic Risk

Author

Listed:
  • Yannick Armenti
  • Stephane Crepey
  • Samuel Drapeau
  • Antonis Papapantoleon

Abstract

The ongoing concern about systemic risk since the outburst of the global financial crisis has highlighted the need for risk measures at the level of sets of interconnected financial components, such as portfolios, institutions or members of clearing houses. The two main issues in systemic risk measurement are the computation of an overall reserve level and its allocation to the different components according to their systemic relevance. We develop here a pragmatic approach to systemic risk measurement and allocation based on multivariate shortfall risk measures, where acceptable allocations are first computed and then aggregated so as to minimize costs. We analyze the sensitivity of the risk allocations to various factors and highlight its relevance as an indicator of systemic risk. In particular, we study the interplay between the loss function and the dependence structure of the components. Moreover, we address the computational aspects of risk allocation. Finally, we apply this methodology to the allocation of the default fund of a CCP on real data.

Suggested Citation

  • Yannick Armenti & Stephane Crepey & Samuel Drapeau & Antonis Papapantoleon, 2015. "Multivariate Shortfall Risk Allocation and Systemic Risk," Papers 1507.05351, arXiv.org, revised Mar 2017.
  • Handle: RePEc:arx:papers:1507.05351
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    File URL: http://arxiv.org/pdf/1507.05351
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    References listed on IDEAS

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    Cited by:

    1. Zachary Feinstein & Birgit Rudloff, 2015. "A Supermartingale Relation for Multivariate Risk Measures," Papers 1510.05561, arXiv.org, revised Jan 2018.
    2. Francesca Biagini & Jean-Pierre Fouque & Marco Frittelli & Thilo Meyer-Brandis, 2018. "On Fairness of Systemic Risk Measures," Papers 1803.09898, arXiv.org, revised Apr 2019.
    3. c{C}au{g}{i}n Ararat & Birgit Rudloff, 2016. "Dual representations for systemic risk measures," Papers 1607.03430, arXiv.org, revised Jul 2019.
    4. Zachary Feinstein, 2017. "Obligations with Physical Delivery in a Multi-Layered Financial Network," Papers 1702.07936, arXiv.org, revised May 2019.
    5. Michel Baes & Pablo Koch-Medina & Cosimo Munari, 2017. "Existence, uniqueness and stability of optimal portfolios of eligible assets," Papers 1702.01936, arXiv.org, revised Dec 2017.

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