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Fair dynamic valuation of insurance liabilities: Merging actuarial judgement with market- and time-consistency

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© 2019 Elsevier B.V. In this paper, we investigate the fair valuation of insurance liabilities in a dynamic multi-period setting. We define a fair dynamic valuation as a valuation which is actuarial (mark-to-model for claims independent of financial market evolutions), market-consistent (mark-to-market for any hedgeable part of a claim)and time-consistent, extending the work of Dhaene et al. (2017)and Barigou and Dhaene (2019). We provide a complete hedging characterization for fair dynamic valuations. Moreover, we show how to implement fair dynamic valuations through a backward iterations scheme combining risk minimization methods from mathematical finance with standard actuarial techniques based on risk measures.
Tijdschrift: Insurance: Mathematics & Economics
ISSN: 0167-6687
Volume: 88
Pagina's: 19 - 29
Jaar van publicatie:2019
BOF-keylabel:ja
IOF-keylabel:ja
BOF-publication weight:1
CSS-citation score:2
Auteurs:International
Authors from:Higher Education
Toegankelijkheid:Open