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Risk Management Framework for Hedge Funds: Role of Funding and Redemption Options on Leverage

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  • Dai, John
  • Sundaresan, Suresh

Abstract

We develop a model of hedge fund returns, which reflect the contractual relationships between a hedge fund, its investors and its prime brokers. These relationships are modelled as short option positions held by the hedge fund, wherein the “funding option” reflects the short option position with prime brokers and the “redemption option” reflects the short option position with the investors. Given an alpha producing human capital, the hedge fund’s ability to deploy leverage to magnify its alpha is shown to be sharply constrained by the presence of these short options, which have a high probability of being exercised in “bad states” of the world, either due to poor performance or due to macroeconomic developments that are performance-independent. We show that the hedge funds typically have an optimal level of leverage that trades off rationally the ability to increase alpha with the risk of early exercise of short options, which may precipitate the liquidation of the fund. Optimal leverage is shown to differ across hedge funds reflecting their de-levering costs, Sharpe ratios, correlation of assets, secondary market liquidity of their assets, and the volatility of the assets. Using a minimum level of unencumbered cash level as a risk limit, we show how a hedge fund can optimally choose aggregate risk capital and then allocate its risk capital across different risk-taking units to maximize alpha in the presence of these short option positions. Implications of our analysis for hedge fund investors and policy makers are summarized. Our framework can be easily modified to study portfolio selection problem facing any fund, which has granted redemption rights to its investors (money market funds, long-only funds, etc).

Suggested Citation

  • Dai, John & Sundaresan, Suresh, 2009. "Risk Management Framework for Hedge Funds: Role of Funding and Redemption Options on Leverage," MPRA Paper 16483, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:16483
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    References listed on IDEAS

    as
    1. Vikas Agarwal, 2004. "Risks and Portfolio Decisions Involving Hedge Funds," Review of Financial Studies, Society for Financial Studies, vol. 17(1), pages 63-98.
    2. Brown, Stephen J & Goetzmann, William N, 1995. "Performance Persistence," Journal of Finance, American Finance Association, vol. 50(2), pages 679-698, June.
    3. Agarwal, Vikas & Naik, Narayan Y., 2000. "Multi-Period Performance Persistence Analysis of Hedge Funds," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 35(3), pages 327-342, September.
    4. Stephen J. Brown & William N. Goetzmann & James Park, 2001. "Careers and Survival: Competition and Risk in the Hedge Fund and CTA Industry," Journal of Finance, American Finance Association, vol. 56(5), pages 1869-1886, October.
    5. Aragon, George O., 2007. "Share restrictions and asset pricing: Evidence from the hedge fund industry," Journal of Financial Economics, Elsevier, vol. 83(1), pages 33-58, January.
    6. Darryll Hendricks & Jayendu Patel & Richard Zeckhauser, 1997. "The J-Shape Of Performance Persistence Given Survivorship Bias," The Review of Economics and Statistics, MIT Press, vol. 79(2), pages 161-166, May.
    7. Brown, Stephen J, et al, 1992. "Survivorship Bias in Performance Studies," Review of Financial Studies, Society for Financial Studies, vol. 5(4), pages 553-580.
    8. Stephen J. Brown & William N. Goetzmann & Roger G. Ibbotson & Stephen A. Ross, 1997. "Rejoinder: The J-Shape Of Performance Persistence Given Survivorship Bias," The Review of Economics and Statistics, MIT Press, vol. 79(2), pages 167-170, May.
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    Cited by:

    1. Emilio Barucci & Gaetano Bua & Daniele Marazzina, 2018. "On relative performance, remuneration and risk taking of asset managers," Annals of Finance, Springer, vol. 14(4), pages 517-545, November.
    2. Fernando Avalos & Ramon Moreno & Tania Romero, 2015. "Leverage on the buy side," BIS Working Papers 517, Bank for International Settlements.

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    More about this item

    Keywords

    Leverage; Unencumbered cash; funding option; redemption option; prime brokers; funding counterparties; hair cuts; margin multiplier.;
    All these keywords.

    JEL classification:

    • G1 - Financial Economics - - General Financial Markets
    • G2 - Financial Economics - - Financial Institutions and Services

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