Fair Dynamic Valuation of Insurance Liabilities via Convex Hedging

A general class of fair valuations, which are model-consistent (mark-to-model), market-consistent (mark-to-market) and time-consistent, was introduced in Barigou et al. (2019) under a multi-period setting. In this paper, we generalize the convex hedging approach proposed in Dhaene et al. (2017) to a multi-period framework and investigate the realization of fair dynamic valuations via a convex hedge-based (CHB) approach. We show that the classes of fair dynamic valuations and CHB dynamic valuations are equivalent. Moreover, we show how to implement the CHB dynamic valuations through a backward iterations scheme with the application of some specific convex hedgers.