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It is shown that the widely used risk measures standard deviation and value at risk do not always reflect risk preferences accurately. To overcome these problems in risk measurement a class of coherent risk measures has been proposed. We introduce the idea behind these measures and provide an overview of suggested coherent risk measures. Finally it is shown where the limitations of such measures in practical applications are and how regulatory bodies responded to their introduction in the literature. We find that most contributions on coherent risk measurement come from the actuarial sciences and propagate a widening of the discussion among researchers and practitioners in other industries.

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