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Pareto models for risk management

Arthur Charpentier and Emmanuel Flachaire

Papers from arXiv.org

Abstract: The Pareto model is very popular in risk management, since simple analytical formulas can be derived for financial downside risk measures (Value-at-Risk, Expected Shortfall) or reinsurance premiums and related quantities (Large Claim Index, Return Period). Nevertheless, in practice, distributions are (strictly) Pareto only in the tails, above (possible very) large threshold. Therefore, it could be interesting to take into account second order behavior to provide a better fit. In this article, we present how to go from a strict Pareto model to Pareto-type distributions. We discuss inference, and derive formulas for various measures and indices, and finally provide applications on insurance losses and financial risks.

Date: 2019-12
New Economics Papers: this item is included in nep-ias and nep-rmg
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http://arxiv.org/pdf/1912.11736 Latest version (application/pdf)

Related works:
Chapter: Pareto Models for Risk Management (2021)
Working Paper: Pareto Models for Risk Management (2021)
Working Paper: Pareto models for risk management (2019) Downloads
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