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The dynamics of premium reserves of life annuities under the regime of Solvency II
Authors:Hans-Jochen Bartels  Johannes Bartels
Affiliation:1.Institut für Mathematik,Universit?t Mannheim,Mannheim,Germany;2.Bonn,Germany
Abstract:The article considers the solvency requirements for a whole portfolio of annuities under the regime of Solvency II. More precisely, the following question is investigated: Which demand of interest on the initial capital – the Solvency II premium reserves – is needed in order to fit the balance for Solvency II capital requirements in the next year? It turns out, that even for a model portfolio of simple annuities with say guaranteed interest rate of 1,25% the demand of interest in one year is greater than 3%. So even if a life insurance company fulfill the capital requirements of Solvency II in 2016 the mentioned effect causes eventually problems in future times.
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