The Solvency II Square-Root Formula for Systematic Biometric Risk

نویسندگان

  • Marcus Christiansen
  • Michel Denuit
  • Dorina Lazar
  • Marcus C. Christiansen
  • Michel M. Denuit
چکیده

In this paper, we develop a model supporting the so-called square-root formula used in Solvency II to aggregate the modular life SCR. Describing the insurance policy by a Markov jump process, we can obtain expressions similar to the square-root formula in Solvency II by means of limited expansions around the best estimate. Numerical illustrations are given, based on German population data. Even if the square-root formula can be supported by theoretical considerations, it is shown that the QIS correlation matrix is highly questionable.

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تاریخ انتشار 2010