Protected Valuation Portfolio

  • Mario V. Wüthrich
  • Michael Merz
Part of the Springer Finance book series (FINANCE)


The valuation portfolio constructed in the previous chapter covers expected insurance liabilities and leads to best-estimate reserves for insurance liabilities. However to price insurance liabilities it is not sufficient to consider expected insurance liabilities. In general, a (risk averse) risk bearer of the insurance liabilities asks for an additional margin for settling the (non-hedgeable) insurance technical risks and for covering possible shortfalls in their development. The sum of the best-estimate reserves and this margin for non-hedgeable insurance technical risks then constitutes the so-called risk-adjusted reserves. In this chapter we give a methodological approach for the construction of risk-adjusted reserves. For this purpose we construct the protected valuation portfolio, which is a valuation portfolio protected against insurance technical risks. We give explicit numerical examples in terms of life and non-life insurance portfolios which provide interesting deeper insights. The core concept here is to choose appropriate probability distortions.


Cash Flow Spot Rate Insurance Liability Risk Aversion Parameter Conditional Tail Expectation 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  • Mario V. Wüthrich
    • 1
  • Michael Merz
    • 2
  1. 1.RiskLab, Department of MathematicsETH ZurichZurichSwitzerland
  2. 2.Faculty for Economic and Social Studies, Department of Business AdministrationUniversity of HamburgHamburgGermany

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