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Si us plau utilitzeu sempre aquest identificador per citar o enllaçar aquest document: https://hdl.handle.net/2445/108253
Risk aggregation in Solvency II through recursive log-normals
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It is argued that the accuracy of risk aggregation in Solvency II can be improved by updating skewness recursively. A simple scheme based on the log-normal distribution is developed and shown to be superior to the standard formula and to adjustments of the Cornish-Fisher type. The method handles tail-dependence if a simple Monte Carlo step is included. A hierarchical Clayton copula is constructed and used to confirm the accuracy of the log-normal approximation and to demonstrate the importance of including tail-dependence. Arguably a log-normal scheme makes the logic in Solvency II consistent, but many other distributions might be used as vehicle, a topic that may deserve further study.
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BOLVIKEN, Erik and GUILLÉN, Montserrat. Risk aggregation in Solvency II through recursive log-normals. Insurance Mathematics and Economics. 2017. Vol. 73, num. 20-26. ISSN 0167-6687. [consulted: 26 of September of 2026]. Available at: https://hdl.handle.net/2445/108253