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Asset management with TEV and VaR constraints: the constrained efficient frontiers

Author

Listed:
  • Giulio Palomba
  • Luca Riccetti

Abstract

Purpose - This paper aims to perform an analytical analysis on portfolio allocation when a tracking error volatility (TEV) constraint holds, drawing specific attention to the portfolio efficiency issue. Indeed, it is well known that investors can assign part of their funds to asset managers who are given the task of beating a benchmark portfolio. However, the risk management office often imposes a TEV constraint to the asset managers’ activity to maintain the portfolio risk near to the risk of the benchmark. This situation could lead asset managers to select non efficient portfolios in the total return and absolute risk perspective. However, the risk management office can impose further constraints, such as on maximum variance or maximum value at risk (VaR) to maintain the overall portfolio risk under control. Design/methodology/approach - First the authors define the TEV constrained-efficient frontier (ECTF), a set of TEV constrained portfolios that are mean–variance efficient. Second, they define two new portfolio frontiers analyzing how the imposition of a maximum variance or maximum VaR restriction can reduce the ECTF. Third, they investigate the feasibility of such portfolio frontiers and their relationships. Findings - The authors find that variance or VaR constraint can force asset managers to pursue portfolio efficiency. Originality/value - This is a practically important issue given that asset managers often receive a constraint on TEV from the risk management office, but the risk management office does not ask them to minimize the TEV as often assumed in the optimizations performed in the literature on this topic.

Suggested Citation

  • Giulio Palomba & Luca Riccetti, 2019. "Asset management with TEV and VaR constraints: the constrained efficient frontiers," Studies in Economics and Finance, Emerald Group Publishing Limited, vol. 36(4), pages 492-516, September.
  • Handle: RePEc:eme:sefpps:sef-09-2017-0255
    DOI: 10.1108/SEF-09-2017-0255
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    Citations

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    Cited by:

    1. Riccardo Lucchetti & Mihaela Nicolau & Giulio Palomba & Luca Riccetti, 2022. "Reconciling TEV and VaR in Active Portfolio Management: A New Frontier," Working Papers 461, Universita' Politecnica delle Marche (I), Dipartimento di Scienze Economiche e Sociali.
    2. du Sart, Colin F. & van Vuuren, Gary W., 2021. "Comparing the performance and composition of tracking error constrained and unconstrained portfolios," The Quarterly Review of Economics and Finance, Elsevier, vol. 81(C), pages 276-287.

    More about this item

    Keywords

    Risk management; Efficient portfolio frontiers; Value at risk (VaR); Tracking error volatility (TEV); Fixed VaR–TEV frontier; Constrained mean–TEV frontier; G11; G10; G23; C61;
    All these keywords.

    JEL classification:

    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • G10 - Financial Economics - - General Financial Markets - - - General (includes Measurement and Data)
    • G23 - Financial Economics - - Financial Institutions and Services - - - Non-bank Financial Institutions; Financial Instruments; Institutional Investors
    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis

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