2017
DOI: 10.1016/j.insmatheco.2016.12.006
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Risk aggregation in Solvency II through recursive log-normals

Abstract: 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 tai… Show more

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Cited by 16 publications
(13 citation statements)
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“…After having explained the section dedicated to the actuarial part [73], it is necessary to explain the multidisciplinary connection. In fact, the latter is fundamental for innovative technological implementations [74] and shall pay attention to a new possible contractual implementation in the insurance field [75].…”
Section: Resultsmentioning
confidence: 99%
“…After having explained the section dedicated to the actuarial part [73], it is necessary to explain the multidisciplinary connection. In fact, the latter is fundamental for innovative technological implementations [74] and shall pay attention to a new possible contractual implementation in the insurance field [75].…”
Section: Resultsmentioning
confidence: 99%
“…In insurance matters, except for the Italian Insurance Supervisory Institute (IVASS) decisions and EU Directives, the information obligation on the truthfulness of the data inherent to the risk and insuring asset is generally recognized exclusively as a burden of the insured party. The insurance contract originates from the truthful information that the insured party is charged to communicate to the insurance company [6].…”
Section: General Framework On Contractual Insurance Regulations In Thmentioning
confidence: 99%
“…Articles 1892 and 1893 of the civil code of Italy (c.c.) describe in a clear and precise way the statements Environmental and Climate Technologies ____________________________________________________________________________ 2020 / 24 376 that must be complied to by the insured, delimiting the consequences for a possible breach of contract (non-fulfilment) [6]. These regulations provide that the insured is obliged to report to the insurer any relevant situation on the risk: if the subject is not intentionally culpably or intentionally grossly negligent the contract is voidable, while in presence of slight negligence the contract is valid and effective, but the insurer is granted a unilateral right of withdrawal.…”
Section: General Framework On Contractual Insurance Regulations In Thmentioning
confidence: 99%
“…A procedure for picking the tree structure is advanced using hierarchical clustering techniques, along with a distance metric based on Kendall's tau. The approach is illustrated using data Finally, Bølviken and Guillen (2017) suggest a simple scheme based on the log-normal distribution, which is proved to be superior to the standard formula and to adjustments of the Cornish-Fisher type for risk aggregation in Solvency 2. Relying on the Monte Carlo simulation, this approach considers the tail-dependence by mixing hierarchical Clayton copulas in order to approve the accuracy of the lognormal approximation and to illustrate the importance of encompassing tail dependence.…”
Section: Literary Reviewmentioning
confidence: 99%