Mean Variance Portfolio Allocation with a Value at Risk Constraint

20 Pages Posted: 25 Oct 2001

See all articles by Enrique Sentana

Enrique Sentana

Centro de Estudios Monetarios y Financieros (CEMFI); Financial Markets Group; Centre for Economic Policy Research (CEPR)

Multiple version iconThere are 2 versions of this paper

Date Written: October 2001

Abstract

In this Paper, I first provide a simple unifying approach to static Mean-Variance analysis and Value at Risk, which highlights their similarities and differences. Then I use it to explain how fund managers can take investment decisions that satisfy the VaR restrictions imposed on them by regulators, within the well-known Mean-Variance allocation framework. 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.

Keywords: Risk management, portfolio frontier, market risk capital

JEL Classification: G11

Suggested Citation

Sentana, Enrique, Mean Variance Portfolio Allocation with a Value at Risk Constraint (October 2001). CEPR Discussion Paper No. 2997. Available at SSRN: https://ssrn.com/abstract=288358

Enrique Sentana (Contact Author)

Centro de Estudios Monetarios y Financieros (CEMFI) ( email )

Casado del Alisal 5
28014 Madrid
Spain
+34 91 429 0551 (Phone)
+34 91 429 1056 (Fax)

HOME PAGE: http://www.cemfi.es/~sentana/

Financial Markets Group

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London School of Economics & Political Science (LSE)
London WC2A 2AE
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+44 20 7955 7002 (Phone)
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Centre for Economic Policy Research (CEPR)

London
United Kingdom

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