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A scenario-based description of optimal American capital guaranteed strategies

Author

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  • Sami Attaoui

    (Pôle Finance Responsable - Rouen Business School - Rouen Business School)

  • Vincent Lacoste

    (Pôle Finance Responsable - Rouen Business School - Rouen Business School)

Abstract

The aim of the paper is to compare portfolio strategies with partial guarantee of the initial capital. We consider the option based and the constant proportion portfolio insurance strategies with both European and American features. We provide explicit formulae for all strategies and we recall the utility criteria for which each of them is optimal. Relying on historical and Monte Carlo simulations, we show that the behaviour of the strategies differs significantly in the case of a bear market. We further focus our attention on the liquidation values when market bounces back after a sharp drop, as it has been the case recently. The American CPPI strategy usually outperforms the American OBPI due to the Asian component of the former despite the lookback characteristic of the latter. To complete our analysis of the liquidation values, we exhibit the behaviour of the deltas of our strategies.

Suggested Citation

  • Sami Attaoui & Vincent Lacoste, 2013. "A scenario-based description of optimal American capital guaranteed strategies," Post-Print hal-00867667, HAL.
  • Handle: RePEc:hal:journl:hal-00867667
    Note: View the original document on HAL open archive server: https://hal.archives-ouvertes.fr/hal-00867667
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    References listed on IDEAS

    as
    1. Benninga, Simon & Blume, Marshall E, 1985. "On the Optimality of Portfolio Insurance," Journal of Finance, American Finance Association, vol. 40(5), pages 1341-1352, December.
    2. Brennan, M.J. & Solanki, R., 1981. "Optimal Portfolio Insurance," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 16(3), pages 279-300, September.
    3. Philippe Bertrand & Jean-Luc Prigent, 2005. "Portfolio Insurance Strategies: OBPI versus CPPI," Post-Print hal-01833077, HAL.
    4. Balder, Sven & Brandl, Michael & Mahayni, Antje, 2009. "Effectiveness of CPPI strategies under discrete-time trading," Journal of Economic Dynamics and Control, Elsevier, vol. 33(1), pages 204-220, January.
    5. Liu, Jun & Longstaff, Francis & Pan, Jun, 2001. "Dynamic Asset Allocation with Event Risk," University of California at Los Angeles, Anderson Graduate School of Management qt9fm6t5nb, Anderson Graduate School of Management, UCLA.
    6. Branger, Nicole & Schlag, Christian & Schneider, Eva, 2008. "Optimal portfolios when volatility can jump," Journal of Banking & Finance, Elsevier, vol. 32(6), pages 1087-1097, June.
    7. Lan-chih Ho & John Cadle & Michael Theobald, 2011. "An analysis of risk-based asset allocation and portfolio insurance strategies," Review of Quantitative Finance and Accounting, Springer, vol. 36(2), pages 247-267, February.
    8. Leland, Hayne E, 1980. "Who Should Buy Portfolio Insurance?," Journal of Finance, American Finance Association, vol. 35(2), pages 581-594, May.
    9. 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.
    10. Rama Cont & Peter Tankov, 2009. "Constant Proportion Portfolio Insurance In The Presence Of Jumps In Asset Prices," Mathematical Finance, Wiley Blackwell, vol. 19(3), pages 379-401, July.
    11. Simon Benninga & Marshall Blume, "undated". "On the Optimality of Portfolio Insurance," Rodney L. White Center for Financial Research Working Papers 5-85, Wharton School Rodney L. White Center for Financial Research.
    12. Sanford J. Grossman & Zhongquan Zhou, 1993. "Optimal Investment Strategies For Controlling Drawdowns," Mathematical Finance, Wiley Blackwell, vol. 3(3), pages 241-276, July.
    13. Black, Fischer & Scholes, Myron S, 1973. "The Pricing of Options and Corporate Liabilities," Journal of Political Economy, University of Chicago Press, vol. 81(3), pages 637-654, May-June.
    14. Philippe Bertrand & Jean-Luc Prigent, 2003. "Portfolio Insurance Strategies: A Comparison of Standard Methods When the Volatility of the Stock is Stochastic," Post-Print hal-01833118, HAL.
    15. Annaert, Jan & Osselaer, Sofieke Van & Verstraete, Bert, 2009. "Performance evaluation of portfolio insurance strategies using stochastic dominance criteria," Journal of Banking & Finance, Elsevier, vol. 33(2), pages 272-280, February.
    16. Cox, John C. & Huang, Chi-fu, 1989. "Optimal consumption and portfolio policies when asset prices follow a diffusion process," Journal of Economic Theory, Elsevier, vol. 49(1), pages 33-83, October.
    17. El Karoui, Nicole & Jeanblanc, Monique & Lacoste, Vincent, 2005. "Optimal portfolio management with American capital guarantee," Journal of Economic Dynamics and Control, Elsevier, vol. 29(3), pages 449-468, March.
    18. Bertrand, Philippe & Prigent, Jean-luc, 2011. "Omega performance measure and portfolio insurance," Journal of Banking & Finance, Elsevier, vol. 35(7), pages 1811-1823, July.
    19. Richard Bookstaber & Joseph A. Langsam, 1988. "Portfolio insurance trading rules," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 8(1), pages 15-31, February.
    20. Liu, Jun & Pan, Jun, 2003. "Dynamic derivative strategies," Journal of Financial Economics, Elsevier, vol. 69(3), pages 401-430, September.
    21. Binh Huu Do, 2002. "Relative performance of dynamic portfolio insurance strategies: Australian evidence," Accounting and Finance, Accounting and Finance Association of Australia and New Zealand, vol. 42(3), pages 279-296, November.
    22. P. Bertrand & J.L. Prigent, 2000. "Portfolio Insurance : The extreme Value of the CCPI Method," THEMA Working Papers 2000-49, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
    23. Bird, Ron & Cunningham, Ross & Dennis, David & Tippett, Mark, 1990. "Portfolio insurance: a simulation under different market conditions," Insurance: Mathematics and Economics, Elsevier, vol. 9(1), pages 1-19, March.
    24. Simon Benninga & Marshall Blume, "undated". "On the Optimality of Portfolio Insurance," Rodney L. White Center for Financial Research Working Papers 05-85, Wharton School Rodney L. White Center for Financial Research.
    25. Rudi Zagst & Julia Kraus, 2011. "Stochastic dominance of portfolio insurance strategies," Annals of Operations Research, Springer, vol. 185(1), pages 75-103, May.
    26. Cesari, Riccardo & Cremonini, David, 2003. "Benchmarking, portfolio insurance and technical analysis: a Monte Carlo comparison of dynamic strategies of asset allocation," Journal of Economic Dynamics and Control, Elsevier, vol. 27(6), pages 987-1011, April.
    27. Black, Fischer & Perold, AndreF., 1992. "Theory of constant proportion portfolio insurance," Journal of Economic Dynamics and Control, Elsevier, vol. 16(3-4), pages 403-426.
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