کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5077367 1374127 2008 8 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Coherent risk measures, coherent capital allocations and the gradient allocation principle
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آمار و احتمال
پیش نمایش صفحه اول مقاله
Coherent risk measures, coherent capital allocations and the gradient allocation principle
چکیده انگلیسی
The gradient allocation principle, which generalizes the most popular specific allocation principles, is commonly proposed in the literature as a means of distributing a financial institution's risk capital to its constituents. This paper is concerned with the axioms defining the coherence of risk measures and capital allocations, and establishes results linking the two coherence concepts in the context of the gradient allocation principle. The following axiom pairs are shown to be equivalent: positive homogeneity and full allocation, subadditivity and “no undercut”, and translation invariance and riskless allocation. Furthermore, we point out that the symmetry property holds if and only if the risk measure is linear. As a consequence, the gradient allocation principle associated with a coherent risk measure has the properties of full allocation and “no undercut”, but not symmetry unless the risk measure is linear. The results of this paper are applied to the covariance, the semi-covariance, and the expected shortfall principle. We find that the gradient allocation principle associated with a nonlinear risk measure can be coherent, in a suitably restricted setting.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Insurance: Mathematics and Economics - Volume 42, Issue 1, February 2008, Pages 235-242
نویسندگان
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