Are quantile risk measures suitable for risk-transfer decisions?

• Autor(a) principal: Guerra, Manuel
• Data de Publicação: 2012
• Outros Autores: Centeno, M. de Lourdes
• Tipo de documento: Artigo
• Idioma: eng
• Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
• Texto Completo: http://hdl.handle.net/10400.5/27754
• topic: Coherent Risk Measures; Conditional Tail Expectation; Risk; Risk Measures; Optimal Reinsurance; Quantile Risk Measures; Truncated Stop Loss; Value at Risk

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.