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Title: An optimization approach to the dynamic allocation of economic capital
Authors: Laeven, R ×
Goovaerts, Marc #
Issue Date: 2004
Series Title: Insurance: Mathematics & Economics vol:35 issue:2 pages:299-319
Abstract: We propose an optimization approach to allocating economic capital, distinguishing between an allocation or raising principle and a measure for the risk residual. The approach is applied both at the aggregate (conglomerate) level and at the individual (subsidiary) level and yields an integrated solution to the capital allocation problem. In particular, we formalize a procedure to determine (i) the optimal amount of economic capital to be held by a financial conglomerate, (ii) the optimal allocation of this amount among the subsidiaries and (iii) a consistent distribution of the cost of risk-bearing home by the conglomerate. Different degrees of information on the dependence structure between the subsidiaries are considered. The results provide a theoretical justification for the use of Value-at-Risk, not as a measure of risk, but as an optimal allocation or raising principle. Static solutions are generalized to a dynamic setting. The approach is illustrated using an example of a financial conglomerate represented by a multivariate Wiener process. (C) 2004 Elsevier B.V. All rights reserved.
ISSN: 0167-6687
Publication status: published
KU Leuven publication type: IT
Appears in Collections:Research Center Insurance, Leuven
× corresponding author
# (joint) last author

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