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Tracking problems, hedge fund replication and alternative beta

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  • Roncalli, Thierry
  • Weisang, Guillaume

Abstract

As hedge fund replication based on factor models has encountered growing interest among professionals and academics, and despite the launch of numerous products (indexes and mutual funds) in the past year, it faced many critics. In this paper, we consider three of the main critiques, namely the lack of reactivity of hedge fund replication and its deficiency in capturing tactical allocations; its failure to apprehend non-linear positions of the underlying hedge fund industry and higher moments of hedge fund returns; and, finally, the lack of access to the alpha of hedge funds. To address these problems, we consider hedge fund replication as a general tracking problem which may be solved by means of Bayesian filters. Using the linear Gaussian model as a basis for discussion, we provide the reader with an intuition for the inner tenets of the Kalman filter and illustrate the results' sensitivity to the algorithm specification choices. This part of the paper includes considerations on the type of strategies which can be replicated, as well as the problem of selecting factors. We then apply more advanced Bayesian filters' algorithms, known as particle filters, to capture the non-normality and non-linearities documented on hedge fund returns. Finally, we address the problem of accessing the pure alpha by proposing a core/satellite approach of alternative investments between high-liquid alternative beta and less liquid investments.

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Bibliographic Info

Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 37358.

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Date of creation: 24 Dec 2008
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Handle: RePEc:pra:mprapa:37358

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Keywords: tracking problem; hedge fund replication; alternative beta; global tactical asset allocation; Bayes filter; Kalman filter; particle filter; numerical algorithms (SIS; GPP; SIR and RPF); skewness; kurtosis; non-linear exposure; alpha;

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  1. Teiletche, Jérôme & Roncalli, Thierry, 2008. "An alternative approach to alternative beta," Economics Papers from University Paris Dauphine 123456789/812, Paris Dauphine University.
  2. Fung, William & Hsieh, David A, 1997. "Empirical Characteristics of Dynamic Trading Strategies: The Case of Hedge Funds," Review of Financial Studies, Society for Financial Studies, vol. 10(2), pages 275-302.
  3. Antonio Diez de los Rios & René Garcia, 2006. "Assessing and Valuing the Non-Linear Structure of Hedge Fund Returns," Working Papers 06-31, Bank of Canada.
  4. Merton, Robert C, 1981. "On Market Timing and Investment Performance. I. An Equilibrium Theory of Value for Market Forecasts," The Journal of Business, University of Chicago Press, vol. 54(3), pages 363-406, July.
  5. Fung, W. & Hsieh, D A., 2007. "Hedge fund replication strategies: implications for investors and regulators," Financial Stability Review, Banque de France, issue 10, pages 55-66, April.
  6. Gaurav Amin & Harry. M Kat, 2001. "Hedge Fund Performance 1990-2000- Do the "Money Machines" Really Add Value?," ICMA Centre Discussion Papers in Finance icma-dp2001-05, Henley Business School, Reading University, revised Sep 2001.
  7. Fung, William & Hsieh, David A., 1999. "A primer on hedge funds," Journal of Empirical Finance, Elsevier, vol. 6(3), pages 309-331, September.
  8. Arnaud Doucet & Vladislav Tadić, 2003. "Parameter estimation in general state-space models using particle methods," Annals of the Institute of Statistical Mathematics, Springer, vol. 55(2), pages 409-422, June.
  9. Vikas Agarwal, 2004. "Risks and Portfolio Decisions Involving Hedge Funds," Review of Financial Studies, Society for Financial Studies, vol. 17(1), pages 63-98.
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Cited by:
  1. Clauss, Pierre & Roncalli, Thierry & Weisang, Guillaume, 2009. "Risk Management Lessons from Madoff Fraud," MPRA Paper 36754, University Library of Munich, Germany.
  2. Sam Nasypbek & Scheherazade S Rehman, 2011. "Explaining the returns of active currency managers," BIS Papers chapters, in: Bank for International Settlements (ed.), Portfolio and risk management for central banks and sovereign wealth funds, volume 58, pages 211-256 Bank for International Settlements.
  3. Ledenyov, Dimitri O. & Ledenyov, Viktor O., 2013. "On the Stratonovich – Kalman - Bucy filtering algorithm application for accurate characterization of financial time series with use of state-space model by central banks," MPRA Paper 50235, University Library of Munich, Germany.

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