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Convex Risk Measures for the Aggregation of Multiple Information...

Author
G. I. Papayiannis, A. N. Yannacopoulos
Date Updated
2022/09/12
Category
q-fin.RM
Date Published
2022/09/12
Date Retrieved
2022/09/13
Description
We propose a novel class of convex risk measures, based on the concept of the Fr\'echet mean, designed in order to handle uncertainty which arises from multiple information sources regarding the risk factors of interest. The proposed risk measures robustly characterize the exposure of the firm, by filtering out appropriately the partial information available in individual sources into an aggregate model for the risk factors of interest. Importantly, the proposed risks can be expressed in closed analytic forms allowing for interesting qualitative interpretations as well as comparative statics and thus facilitate their use in the everyday risk management process of the insurance firms. The potential use of the proposed risk measures in insurance is illustrated by two concrete applications, capital risk allocation and premia calculation under uncertainty.
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URL
http://dx.doi.org/10.1080/03461238.2018.1461129
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