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An axiomatic characterization of capital allocations of coherent risk measures

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  • Michael Kalkbrener

Abstract

An axiomatic definition of coherent capital allocations is given. It is shown that coherent capital allocations defined by the proposed axiom system are closely linked to coherent risk measures. More precisely, the associated risk measure of a coherent capital allocation is coherent and, conversely, for every coherent risk measure there exists a coherent capital allocation.

Suggested Citation

  • Michael Kalkbrener, 2009. "An axiomatic characterization of capital allocations of coherent risk measures," Quantitative Finance, Taylor & Francis Journals, vol. 9(8), pages 961-965.
    • Handle: RePEc:taf:quantf:v:9:y:2009:i:8:p:961-965
    DOI: 10.1080/14697680902814266
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    Citations

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    Cited by:

    1. Véronique Maume-Deschamps & Didier Rullière & Khalil Said, 2014. "On capital allocation by minimizing multivariate risk indicators," Working Papers hal-01082559, HAL.
    2. V'eronique Maume-Deschamps & Didier Rulli`ere & Khalil Said, 2015. "A risk management approach to capital allocation," Papers 1506.04125, arXiv.org.
    3. Assa Hirbod & Morales Manuel & Omidi Firouzi Hassan, 2013. "On the Capital Allocation Problem for a New Coherent Risk Measure in Collective Risk Theory," Papers 1311.0354, arXiv.org.
    4. Hirbod Assa & Manuel Morales & Hassan Omidi Firouzi, 2016. "On the Capital Allocation Problem for a New Coherent Risk Measure in Collective Risk Theory," Risks, MDPI, vol. 4(3), pages 1-20, August.
    5. Véronique Maume-Deschamps & Didier Rullière & Khalil Said, 2016. "On a capital allocation by minimizing multivariate risk indicators," Post-Print hal-01082559, HAL.
    6. Eduard Kromer & Ludger Overbeck, 2017. "DIFFERENTIABILITY OF BSVIEs AND DYNAMIC CAPITAL ALLOCATIONS," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 20(07), pages 1-26, November.

    More about this item

    Keywords

    Capital allocation; Coherent risk measures;

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