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Efficient Portfolios in the Asset Liability Context

Published online by Cambridge University Press:  29 August 2014

Alex Keel*
Affiliation:
University of St. Gallen
Heinz H. Müller*
Affiliation:
University of St. Gallen
*
Fachbereich für Mathematik und Statistik, Universität St.Gallen, Bodanstrasse 4, CH-9000 St.Gallen, Switzerland.
Fachbereich für Mathematik und Statistik, Universität St.Gallen, Bodanstrasse 4, CH-9000 St.Gallen, Switzerland.
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Abstract

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The set of efficient portfolios in an asset liability model is discussed in detail. The occurence of liabilities leads to a parallel shift of the efficient set. Under an appropriate assumption, the shift vector can be decomposed in different components. For the special case, where the investor is a pension fund, it is shown how shortfall constraints can be reconciled with efficiency. Finally, optimality conditions for the market portfolio are derived.

Type
Articles
Copyright
Copyright © International Actuarial Association 1995

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