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Asset allocation and derivatives

Author

Listed:
  • 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. 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.
    2. 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.
    3. Libo Yin & Liyan Han, 2013. "Options strategies for international portfolios with overall risk management via multi-stage stochastic programming," Annals of Operations Research, Springer, vol. 206(1), pages 557-576, July.
    4. Marcos Escobar-Anel & Matt Davison & Yichen Zhu, 2022. "Derivatives-based portfolio decisions: an expected utility insight," Annals of Finance, Springer, vol. 18(2), pages 217-246, June.
    5. 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.
    6. René Caldentey & Martin Haugh, 2006. "Optimal Control and Hedging of Operations in the Presence of Financial Markets," Mathematics of Operations Research, INFORMS, vol. 31(2), pages 285-304, May.
    7. 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.
    8. Robert C. Merton & Zvi Bodie, 2005. "Design Of Financial Systems: Towards A Synthesis Of Function And Structure," World Scientific Book Chapters, in: H Gifford Fong (ed.), The World Of Risk Management, chapter 1, pages 1-27, World Scientific Publishing Co. Pte. Ltd..
    9. Lassance, Nathan & Vrins, Frédéric, 2023. "Portfolio selection: A target-distribution approach," European Journal of Operational Research, Elsevier, vol. 310(1), pages 302-314.
    10. 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).
    11. Liu, Jun & Pan, Jun, 2003. "Dynamic derivative strategies," Journal of Financial Economics, Elsevier, vol. 69(3), pages 401-430, September.
    12. 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.
    13. Jun Pan & Allen M. Poteshman, 2006. "The Information in Option Volume for Future Stock Prices," The Review of Financial Studies, Society for Financial Studies, vol. 19(3), pages 871-908.
    14. Libo Yin & Liyan Han, 2020. "International Assets Allocation with Risk Management via Multi-Stage Stochastic Programming," Computational Economics, Springer;Society for Computational Economics, vol. 55(2), pages 383-405, February.
    15. 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.
    16. Gabriela Prelipcean & Mircea Boscoianu, 2020. "Risk Analysis of a Hedge Fund Oriented on Sustainable and Responsible Investments for Emerging Markets," The AMFITEATRU ECONOMIC journal, Academy of Economic Studies - Bucharest, Romania, vol. 22(55), pages 653-653, August.
    17. 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.
    18. Branger, Nicole & Hansis, Alexandra, 2012. "Asset allocation: How much does model choice matter?," Journal of Banking & Finance, Elsevier, vol. 36(7), pages 1865-1882.
    19. 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.
    20. 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.
    21. Sebastian, Steffen P. & Steininger, Bertram I., 2021. "Real estate ETNs in strategic asset allocation," Working Paper Series 21/8, Royal Institute of Technology, Department of Real Estate and Construction Management & Banking and Finance.
    22. Chiara Oldani, 2005. "An Overview of the Literature about Derivatives," Macroeconomics 0504004, University Library of Munich, Germany.
    23. Yuan-Hung Hsuku, 2007. "Dynamic consumption and asset allocation with derivative securities," Quantitative Finance, Taylor & Francis Journals, vol. 7(2), pages 137-149.

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