Portfolio frontiers with restrictions to tracking error volatility and value at risk
AbstractAsset 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.
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Bibliographic InfoArticle provided by Elsevier in its journal Journal of Banking & Finance.
Volume (Year): 36 (2012)
Issue (Month): 9 ()
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Web page: http://www.elsevier.com/locate/jbf
Risk management; Asset allocation; Portfolio frontiers; Tracking error volatility (TEV); Value at risk (VaR);
Other versions of this item:
- Giulio PALOMBA & Luca RICCETTI, 2011. "Portfolio Frontiers with Restrictions to Tracking Error Volatility and Value at Risk," Working Papers 358, Universita' Politecnica delle Marche (I), Dipartimento di Scienze Economiche e Sociali.
- C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
- G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
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