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Fair valuation of insurance liabilites: merging actuarial judgement and market-consistency

Tijdschriftbijdrage - Tijdschriftartikel

In this paper, we investigate the fair valuation of liabilities related to an insurance policy or portfolio in a single period framework. We define a fair valuation as a valuation which is both market-consistent (mark-to-market for any hedgeable part of a claim) and actuarial (mark-to-model for any claim that is independent of financial market evolutions). We introduce the class of hedge-based valuations, where in a first step of the valuation process, a ‘best hedge’ for the liability is set up, based on the traded assets in the market, while in a second step, the remaining part of the claim is valuated via an actuarial valuation. We also introduce the class of two-step valuations, the elements of which are very closely related to the two-step valuations which were introduced in Pelsser and Stadje (2014). We show that the classes of fair, hedge-based and two-step valuations are identical.
Tijdschrift: Insurance: Mathematics & Economics
ISSN: 0167-6687
Volume: 76
Pagina's: 14 - 27
Jaar van publicatie:2017
BOF-keylabel:ja
IOF-keylabel:ja
BOF-publication weight:1
CSS-citation score:2
Auteurs:International
Authors from:Higher Education
Toegankelijkheid:Closed