Major (2018) discusses Euler/Aumann–Shapley allocations for non-linear positively homogeneous portfolios. For such portfolio structures, plausibly arising in the context of reinsurance, he defines a distortion-type risk measure that facilitates assessment of ceded and net losses with reference to gross portfolio outcomes. Subsequently, Major (2018) derives explicit formulas for Euler allocations for this risk measure, thus (sub-)allocating ceded losses to the portfolio’s original components. In this comment, we build on Major’s (2018) insights but take a somewhat different direction, to consider Euler capital allocations for distortion risk measures directly applied to homogeneous portfolios. Explicit formulas are derived and our approach is compared with that of Major (2018) via a numerical example.
Euler allocations in the presence of non-linear reinsurance: Comment on Major (2018)
Pietro Millossovich
2018-01-01
Abstract
Major (2018) discusses Euler/Aumann–Shapley allocations for non-linear positively homogeneous portfolios. For such portfolio structures, plausibly arising in the context of reinsurance, he defines a distortion-type risk measure that facilitates assessment of ceded and net losses with reference to gross portfolio outcomes. Subsequently, Major (2018) derives explicit formulas for Euler allocations for this risk measure, thus (sub-)allocating ceded losses to the portfolio’s original components. In this comment, we build on Major’s (2018) insights but take a somewhat different direction, to consider Euler capital allocations for distortion risk measures directly applied to homogeneous portfolios. Explicit formulas are derived and our approach is compared with that of Major (2018) via a numerical example.File | Dimensione | Formato | |
---|---|---|---|
Millossovich_Euler allocations in the presence of non-linear reinsurance.pdf
Accesso chiuso
Descrizione: articolo principale
Tipologia:
Documento in Versione Editoriale
Licenza:
Copyright Editore
Dimensione
334.5 kB
Formato
Adobe PDF
|
334.5 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.