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Mean-variance portfolio allocation with a value at risk constraint

Sentana, Enrique (2001) Mean-variance portfolio allocation with a value at risk constraint. Financial Markets Group Discussion Papers (380). Financial Markets Group, The London School of Economics and Political Science, London, UK.

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In this paper, I first provide a unifying approach to Mean-Variance analysis and Value at Risk, which highlights both their similarities and differences. Then I use it to explain how fund managers can take investment decisions within the well-known Mean-Variance allocation framework that satisfy the VaR restrictions imposed by regulators. I do so by introducing a new type of line to the usual mean-standard deviation diagram, called IsoVaR, which represents all the portfolios that share the same VaR for a fixed probability level. Finally, I analyse the shadow cost of a VaR constraint.

Item Type: Monograph (Discussion Paper)
Official URL:
Additional Information: © 2001 The Author
Divisions: Financial Markets Group
Subjects: H Social Sciences > HG Finance
H Social Sciences > HB Economic Theory
JEL classification: G - Financial Economics > G1 - General Financial Markets > G11 - Portfolio Choice; Investment Decisions
Date Deposited: 28 Aug 2009 13:47
Last Modified: 16 May 2024 11:26

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