Deriving the optimal amount of risk capital for P/L insurance companies utilizing ALM

Publication Type
Journal contribution (peer reviewed)
Authors
Schmautz, M. / Lampenius, N.
Year of publication
2013
Published in
Journal of Risk
Band/Volume
15/4
Page (from - to)
35-55
Keywords
Risikokapital, Versicherungen
Abstract

We present a model for property-liability insurance companies based on asset liability management. We show for multivariate normal distributed assets and claims that the required risk capital can be minimized through asset allocation when considering a ruin probability constraint.We generalize our findings to nonnormal claim distributions using Monte Carlo simulation. Our results illustrate the advantage of asset liability management over pure asset management and indicate a potential problem when ignoring the dependency structure between assets and liabilities for the determination of the required risk capital. The approach provides guidelines for asset (and liability) allocation to minimize the required risk capital.

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