Asset managers are often given the task of restricting their activity by keeping both the value at risk (VaR) and the tracking error volatility (TEV) under control. However, these constraints may be impossible to satisfy simultaneously because VaR is independent of the benchmark portfolio. The management of these restrictions is likely to affect portfolio performance and produces a wide variety of scenarios in the risk-return space. The aim of this paper is to analyse various interactions between portfolio frontiers when risk managers impose joint restrictions upon TEV and VaR. Specifically, we provide analytical solutions for all the intersections and we propose simple numerical methods when such solutions are not available. Finally, we introduce a new portfolio frontier.

Portfolio frontiers with restrictions to tracking error volatility and value at risk / Giulio, Palomba; Riccetti, Luca. - In: JOURNAL OF BANKING & FINANCE. - ISSN 0378-4266. - STAMPA. - 36:9(2012), pp. 2604-2615. [10.1016/j.jbankfin.2012.05.014]

Portfolio frontiers with restrictions to tracking error volatility and value at risk

RICCETTI, LUCA
2012

Abstract

Asset managers are often given the task of restricting their activity by keeping both the value at risk (VaR) and the tracking error volatility (TEV) under control. However, these constraints may be impossible to satisfy simultaneously because VaR is independent of the benchmark portfolio. The management of these restrictions is likely to affect portfolio performance and produces a wide variety of scenarios in the risk-return space. The aim of this paper is to analyse various interactions between portfolio frontiers when risk managers impose joint restrictions upon TEV and VaR. Specifically, we provide analytical solutions for all the intersections and we propose simple numerical methods when such solutions are not available. Finally, we introduce a new portfolio frontier.
2012
risk management; tracking error volatility (tev); asset allocation; portfolio frontiers; value at risk (var)
01 Pubblicazione su rivista::01a Articolo in rivista
Portfolio frontiers with restrictions to tracking error volatility and value at risk / Giulio, Palomba; Riccetti, Luca. - In: JOURNAL OF BANKING & FINANCE. - ISSN 0378-4266. - STAMPA. - 36:9(2012), pp. 2604-2615. [10.1016/j.jbankfin.2012.05.014]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/524893
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