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Authors
Advisor(s)
Abstract(s)
Although controversial from the theoretical point of view, quantile risk measures are widely used by institutions and regulators. In this paper, we use a unified approach to find the optimal treaties for an agent who seeks to minimize one of these measures, assuming premium calculation principles of various types. We show that the use of measures like Value at Risk or Conditional Tail Expectation as optimization criteria for insurance or reinsurance leads to treaties that are not enforceable and/or are clearly bad for the cedent. We argue that this is one further argument against the use of quantile risk measures, at least for the purpose of risk-transfer decisions.
Description
Keywords
Coherent Risk Measures Conditional Tail Expectation Risk Risk Measures Optimal Reinsurance Quantile Risk Measures Truncated Stop Loss Value at Risk
Pedagogical Context
Citation
Guerra, Manuel and M. de Lourdes Centeno .(2012). “Are quantile risk measures suitable for risk-transfer decisions?”. Insurance: Mathematics and Economics, Volume 50, Issue 3: pp. 446-461 .(Search PDF in 2023).
Publisher
Elsevier