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Managing risk exposures using the risk budgeting approach

Author

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  • Bruder, Benjamin
  • Roncalli, Thierry

Abstract

The ongoing economic crisis has profoundly changed the industry of the asset management, by putting risk management at the heart of most investment processes. This new risk-based investment style does not rely on returns forecasts and is therefore assumed to be more robust. In 2011, it has particularly encountered a great success with the achievement of minimum variance, ERC and risk parity strategies in portfolios of several large institutional investors. These portfolio constructions are special cases of a more general class of allocation models, known as the risk budgeting approach. In a risk budgeting portfolio, the risk contribution from each component is equal to the budget of risk defined by the portfolio manager. Unfortunately, even if risk budgeting techniques are widely used by market practitioners, they are few results about the behavior of such portfolios in the academic literature. In this paper, we derive the theoretical properties of the risk budgeting portfolio and show that its volatility is located between those of minimum variance and weight budgeting portfolios. We also discuss the existence, uniqueness and optimality of such a portfolio. In a second part of the paper, we propose several applications of risk budgeting techniques for risk-based allocation, like risk parity funds and strategic asset allocation, and equity and bond alternative indexations.

Suggested Citation

  • Bruder, Benjamin & Roncalli, Thierry, 2012. "Managing risk exposures using the risk budgeting approach," MPRA Paper 37246, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:37246
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    File URL: https://mpra.ub.uni-muenchen.de/37749/2/MPRA_paper_37749.pdf
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    References listed on IDEAS

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    1. repec:dau:papers:123456789/4688 is not listed on IDEAS
    2. Ravi Jagannathan & Tongshu Ma, 2003. "Risk Reduction in Large Portfolios: Why Imposing the Wrong Constraints Helps," Journal of Finance, American Finance Association, vol. 58(4), pages 1651-1684, August.
    3. R.H. Tütüncü & M. Koenig, 2004. "Robust Asset Allocation," Annals of Operations Research, Springer, vol. 132(1), pages 157-187, November.
    4. Ledoit, Olivier & Wolf, Michael, 2003. "Improved estimation of the covariance matrix of stock returns with an application to portfolio selection," Journal of Empirical Finance, Elsevier, vol. 10(5), pages 603-621, December.
    5. Isabelle Bajeux-Besnainou & James V. Jordan & Roland Portait, 2003. "Dynamic Asset Allocation for Stocks, Bonds, and Cash," The Journal of Business, University of Chicago Press, vol. 76(2), pages 263-288, April.
    6. Bruder, Benjamin & Hereil, Pierre & Roncalli, Thierry, 2011. "Managing sovereign credit risk in bond portfolios," MPRA Paper 36673, University Library of Munich, Germany.
    7. Clark, Gordon L. & Caerlewy-Smith, Emiko & Marshall, John C., 2006. "Pension fund trustee competence: decision making in problems relevant to investment practice," Journal of Pension Economics and Finance, Cambridge University Press, vol. 5(01), pages 91-110, March.
    8. Roncalli, Thierry, 2010. "Understanding the Impact of Weights Constraints in Portfolio Theory," MPRA Paper 36753, University Library of Munich, Germany.
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    Citations

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    Cited by:

    1. Griveau-Billion, Théophile & Richard, Jean-Charles & Roncalli, Thierry, 2013. "A Fast Algorithm for Computing High-dimensional Risk Parity Portfolios," MPRA Paper 49822, University Library of Munich, Germany.
    2. Roncalli, Thierry & Weisang, Guillaume, 2012. "Risk Parity Portfolios with Risk Factors," MPRA Paper 44017, University Library of Munich, Germany.
    3. Roncalli, Thierry, 2013. "Introducing Expected Returns into Risk Parity Portfolios: A New Framework for Tactical and Strategic Asset Allocation," MPRA Paper 49821, University Library of Munich, Germany.
    4. Lauren Stagnol, 2016. "The Risk Parity Principle applied on a Corporate Bond Index using Duration Times Spread," EconomiX Working Papers 2016-27, University of Paris Nanterre, EconomiX.
    5. Yuta Kurose & Yasuhiro Omori, 2016. "Multiple-block Dynamic Equicorrelations with Realized Measures, Leverage and Endogeneity," CIRJE F-Series CIRJE-F-1022, CIRJE, Faculty of Economics, University of Tokyo.
    6. Serge Darolles & Christian Gouriéroux & Emmanuelle Jay, 2012. "Robust Portfolio Allocation with Systematic Risk Contribution Restrictions," Working Papers 2012-35, Center for Research in Economics and Statistics.
    7. T. Roncalli & G. Weisang, 2016. "Risk parity portfolios with risk factors," Quantitative Finance, Taylor & Francis Journals, vol. 16(3), pages 377-388, March.
    8. Masafumi Nakano & Akihiko Takahashi & Soichiro Takahashi, 2016. "A Return Prediction-based Investment with Particle Filtering and Anomaly Detection," CARF F-Series CARF-F-391, Center for Advanced Research in Finance, Faculty of Economics, The University of Tokyo.

    More about this item

    Keywords

    Risk budgeting; risk management; risk-based allocation; equal risk contribution; diversification; concentration; risk parity; alternative indexation; strategic asset allocation;

    JEL classification:

    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • C60 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - General

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