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Market neutral portfolios

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Abstract

In this paper we consider the problem of constructing a market neutral portfolio. This is a portfolio of financial assets that (ideally) exhibits performance independent from that of an underlying market as represented by a benchmark index. We formulate this problem as a mixed-integer nonlinear program, minimising the absolute value of the correlation between portfolio return and index return. Our model is a flexible one that incorporates decisions as to both long and short positions in assets. Computational results, obtained using the software package Minotaur, are given for constructing market neutral portfolios for eleven different problem instances derived from universes defined by S&P international equity indices. We also compare our approach against an alternative approach based on minimising the absolute value of regression slope (the zero-beta approach).

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References

  1. Alexander, G.J.: An algorithmic approach to deriving the minimum-variance zero-beta portfolio. J. Financial Econ. 4(2), 231–236 (1977)

    Google Scholar 

  2. Avellaneda, M., Lee, J.-H.: Statistical arbitrage in the US equities market. Quant. Finance 10(7), 761–782 (2010)

    Article  MathSciNet  MATH  Google Scholar 

  3. Badrinath, S.G., Gubellini, S.: On the characteristics and performance of long-short, market-neutral and bear mutual funds. J. Banking Finance 35(7), 1762–1776 (2011)

    Article  Google Scholar 

  4. Baele, L., Londono, J.M.: Understanding industry betas. J. Empir. Finance 22, 30–51 (2013)

    Article  Google Scholar 

  5. Baronyan, S.R., Boduroglu, I.I., Sener, E.: Investigation of stochastic pairs trading strategies under different volatility regimes. Manch. Sch. 78(1), 114–134 (2010)

    Google Scholar 

  6. Black, F.: Capital market equilibrium with restricted borrowing. J. Business 45(3), 444–455 (1972)

    Article  Google Scholar 

  7. Bussieck, M.R., Vigerske, S.: MINLP solver software. In: Cochran, J.J., Cox Jr., L.A., Keskinocak, P., Kharoufeh, J.P., Smith, J.C. (eds.) Wiley Encyclopaedia of Operations Research and Management Science, Wiley, New York, 2011. Available from http://www2.mathematik.hu-berlin.de/~stefan/minlpsoft.pdf. Accessed Oct 17 2013

  8. Cohen, L., Diether, K.B., Malloy, C.J.: Supply and demand shifts in the shorting market. J. Finance 62(5), 2061–2096 (2007)

    Article  Google Scholar 

  9. Ganesan, G.: A subspace approach to portfolio analysis: a focus on equity investments. IEEE Signal Process. Mag. 28(5), 49–60 (2011)

    Article  Google Scholar 

  10. Jacobs, B.I., Levy, K.N.: 20 Myths about enhanced active 120–20 strategies. Financial Anal. J. 63(4), 19–26 (2007)

    Article  Google Scholar 

  11. Khandani, A.E., Lo, A.W.: What happened to the quants in August 2007? J. Invest. Manag. 5(4), 5–54 (2007)

    Google Scholar 

  12. Khandani, A.E., Lo, A.W.: What happened to the quants in August 2007? Evidence from factors and transactions data. J. Financial Mark. 14(1), 1–46 (2011)

    Article  Google Scholar 

  13. Kwan, C.C.Y.: A note on market-neutral portfolio selection. J. Banking Finance 23(5), 773–799 (1999)

    Article  Google Scholar 

  14. Lo, A.W., Patel, P.N.: 130/30: The new long-only. J. Portfolio Manag. 34(2), 12–38 (2008)

    Article  Google Scholar 

  15. Ma, Y., MacLean, L., Xu, K., Zhao, Y.: A portfolio optimization model with regime-switching risk factors for sector exchange traded funds. Pac. J. Optim. 7(2), 281–296 (2011)

    MathSciNet  MATH  Google Scholar 

  16. Markowitz, H.: Portfolio selection. J. Finance 7(1), 77–91 (1952)

    Google Scholar 

  17. Meade, N., Beasley, J.E.: Detection of momentum effects using an index out-performance strategy. Quant. Finance 11(2), 313–326 (2011)

    Article  MathSciNet  Google Scholar 

  18. MINLPLib, available at http://www.gamsworld.org/minlp/minlplib.htm Accessed Oct 17 2013

  19. Minotaur solver, http://wiki.mcs.anl.gov/minotaur/. Accessed Oct 17 2013

  20. Mittelmann H.D.: Performance of commercial and noncommercial optimization software, presented at INFORMS 2012 Phoenix, Arizona, USA, 2012. Available from http://plato.asu.edu/talks/phoenix.pdf. Accessed Oct 17 2013

  21. Pai, G.A.V., Michel, T.: Differential evolution based optimization of risk budgeted equity market neutral portfolios, 2012. In: Proceedings of WCCI 2012, IEEE World Congress on Computational Intelligence (IEEE-WCCI), IEEE, 345 East 47th Street, New York, NY 10017 USA

  22. Patton, A.J.: Are “market neutral” hedge funds really market neutral? Rev. Financial Stud. 22(7), 2495–2530 (2009)

    Article  Google Scholar 

  23. Sharpe, W.F.: Mutual fund performance. J. Bus. 39(1), 119–138 (1966)

    Article  Google Scholar 

  24. Sharpe, W.F.: Adjusting for risk in portfolio performance measurement. J. Portfolio Manag. 1(2), Winter 29–34 (1975)

    Google Scholar 

  25. Sharpe, W.F.: The Sharpe ratio. J. Portfolio Manag. 21(1) Fall 49–58 (1994)

    Google Scholar 

  26. Storn, R., Price, K.: Differential evolution—a simple and efficient heuristic for global optimisation over continuous spaces. J. Global Optim. 11(4), 341–359 (1997)

    Article  MathSciNet  MATH  Google Scholar 

  27. Thomson Reuters Datastream, http://online.thomsonreuters.com/Datastream/. Accessed Oct 17 2013

  28. Tol, R., Wanningen, C.: On the performance of extended alpha (130/30) versus long-only. J. Portfolio Manag. 35(3), 51–60 (2009)

    Article  Google Scholar 

  29. Tol, R., Wanningen, C.: 130/30: By how much will the information ratio improve? J. Portfolio Manag. 37(3), 62–69 (2011)

    Article  Google Scholar 

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Acknowledgments

The authors would like to acknowledge the comments made upon an earlier version of this paper by the referee.

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Authors and Affiliations

  1. Mathematical Sciences, Brunel University, Uxbridge, UB8 3PH, UK

    C. A. Valle & J. E. Beasley

  2. Business School, Imperial College, London, SW7 2AZ, UK

    N. Meade

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  1. C. A. Valle
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  2. N. Meade
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  3. J. E. Beasley
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Correspondence to J. E. Beasley.

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Valle, C.A., Meade, N. & Beasley, J.E. Market neutral portfolios. Optim Lett 8, 1961–1984 (2014). https://doi.org/10.1007/s11590-013-0714-6

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  • DOI: https://doi.org/10.1007/s11590-013-0714-6

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