Tracking problems, hedge fund replication and alternative beta
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.
|Date of creation:||24 Dec 2008|
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- Arnaud Doucet & Vladislav Tadić, 2003. "Parameter estimation in general state-space models using particle methods," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 55(2), pages 409-422, June.
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- 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.
- Roncalli, Thierry & Teiletche, Jérôme, 2008. "An Alternative Approach to Alternative Beta," Journal of Financial Transformation, Capco Institute, vol. 24, pages 43-52.
- 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.
- 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.
- 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. Full references (including those not matched with items on IDEAS)
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