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Asset allocation and derivatives

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  • M. B. Haugh
  • A. W. Lo

Abstract

The fact that derivative securities are equivalent to specific dynamic trading strategies in complete markets suggests the possibility of constructing buy-and-hold portfolios of options that mimic certain dynamic investment policies, e.g. asset-allocation rules. We explore this possibility by solving the following problem: given an optimal dynamic investment policy, find a set of options at the start of the investment horizon which will come closest to the optimal dynamic investment policy. We solve this problem for several combinations of preferences, return dynamics and optimality criteria, and show that under certain conditions, a portfolio consisting of just a few options is an excellent substitute for considerably more complex dynamic investment policies.

Suggested Citation

  • M. B. Haugh & A. W. Lo, 2001. "Asset allocation and derivatives," Quantitative Finance, Taylor & Francis Journals, vol. 1(1), pages 45-72.
  • Handle: RePEc:taf:quantf:v:1:y:2001:i:1:p:45-72
    DOI: 10.1080/713665551
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    Citations

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    Cited by:

    1. Jun Pan & Allen M. Poteshman, 2006. "The Information in Option Volume for Future Stock Prices," Review of Financial Studies, Society for Financial Studies, vol. 19(3), pages 871-908.
    2. Roger Bowden & Jennifer Zhu, 2010. "Multi-scale variation, path risk and long-term portfolio management," Quantitative Finance, Taylor & Francis Journals, vol. 10(7), pages 783-796.
    3. Topaloglou, Nikolas & Vladimirou, Hercules & Zenios, Stavros A., 2011. "Optimizing international portfolios with options and forwards," Journal of Banking & Finance, Elsevier, vol. 35(12), pages 3188-3201.
    4. Jun Liu & Francis A. Longstaff & Jun Pan, 2003. "Dynamic Asset Allocation with Event Risk," Journal of Finance, American Finance Association, vol. 58(1), pages 231-259, February.
    5. Khandani, Amir E. & Lo, Andrew W. & Merton, Robert C., 2013. "Systemic risk and the refinancing ratchet effect," Journal of Financial Economics, Elsevier, vol. 108(1), pages 29-45.
    6. Liu, Jun & Pan, Jun, 2003. "Dynamic derivative strategies," Journal of Financial Economics, Elsevier, vol. 69(3), pages 401-430, September.
    7. Fischer, Marcel & Gallmeyer, Michael F., 2016. "Heuristic portfolio trading rules with capital gain taxes," Journal of Financial Economics, Elsevier, vol. 119(3), pages 611-625.
    8. Robert Kohn & Oana Papazoglu-Statescu, 2006. "On the equivalence of the static and dynamic asset allocation problems," Quantitative Finance, Taylor & Francis Journals, vol. 6(2), pages 173-183.
    9. Das, Sanjiv R. & Statman, Meir, 2013. "Options and structured products in behavioral portfolios," Journal of Economic Dynamics and Control, Elsevier, vol. 37(1), pages 137-153.
    10. Branger, Nicole & Hansis, Alexandra, 2012. "Asset allocation: How much does model choice matter?," Journal of Banking & Finance, Elsevier, vol. 36(7), pages 1865-1882.
    11. Marco Cassader & Sergio Ortobelli Lozza, 2013. "Portfolio selection with options," Working Papers (2013-) 1303_qum, University of Bergamo, Department of Management, Economics and Quantitative Methods.
    12. Chiara Oldani, 2005. "An Overview of the Literature about Derivatives," Macroeconomics 0504004, EconWPA.
    13. Robert C. Merton & Zvi Bodie, 2004. "The Design of Financial Systems: Towards a Synthesis of Function and Structure," NBER Working Papers 10620, National Bureau of Economic Research, Inc.
    14. Judd, Kenneth L. & Leisen, Dietmar P.J., 2010. "Equilibrium open interest," Journal of Economic Dynamics and Control, Elsevier, vol. 34(12), pages 2578-2600, December.
    15. Balbás, Alejandro & Garrido, José & Okhrati, Ramin, 2016. "Good deal measurement in asset pricing: Actuarial and financial implications," INDEM - Working Paper Business Economic Series 23546, Instituto para el Desarrollo Empresarial (INDEM).

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