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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. Discussion paper, 380. Financial Markets Group, London School of Economics and Political Science, London, UK.

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Abstract

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: http://fmg.lse.ac.uk
Additional Information: © 2001 The Author
Library of Congress subject classification: H Social Sciences > HG Finance
H Social Sciences > HB Economic Theory
Sets: Research centres and groups > Financial Markets Group (FMG)
Collections > Economists Online
Collections > LSE Financial Markets Group (FMG) Working Papers
Rights: http://www.lse.ac.uk/library/usingTheLibrary/academicSupport/OA/depositYourResearch.aspx
Identification Number: 380
Date Deposited: 28 Aug 2009 13:47
URL: http://eprints.lse.ac.uk/25058/

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