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Option-Based performance participation

Author

Listed:
  • Rudi Zagst
  • Julia Kraus
  • Philippe Bertrand

    (CERGAM - Centre d'Études et de Recherche en Gestion d'Aix-Marseille - AMU - Aix Marseille Université - UTLN - Université de Toulon, AMU IAE - Institut d'Administration des Entreprises (IAE) - Aix-en-Provence - AMU - Aix Marseille Université)

Abstract

The purpose of this article is to introduce and analyze the option-based performance participation (OBPP) as performance participation method based on a portfolio consisting of two risky assets. By generalizing the provided guarantee to a participation in the performance of a second risky underlying, this new kind of strategies allows to cope with well-known problems associated with standard portfolio insurance methods, especially in times of low or even negative interest rates. However, the minimum guaranteed portfolio value at the end of the investment horizon is not deterministic anymore, but subject to systematic risk instead. Hence, we compare the newly introduced OBPP with the option-based portfolio insurance (OBPI) in various dimensions such as terminal payoffs, mean-variance efficiency and stochastic dominance. To do this, general analytical expressions for all moments of the payoff distributions of the two strategies are derived. Furthermore, we show how an OBBP can be designed so that it stochastically dominates a given OBPI (with a given probability) while retaining the potential for a participation in rising markets via a so-called reserve asset. Numerical case studies show how the proposed concept can be easily implemented for practical applications.
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • Rudi Zagst & Julia Kraus & Philippe Bertrand, 2019. "Option-Based performance participation," Post-Print hal-02142054, HAL.
    • Handle: RePEc:hal:journl:hal-02142054
    DOI: 10.1016/j.jbankfin.2019.05.009
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    1. Victor DeMiguel & Lorenzo Garlappi & Raman Uppal, 2009. "Optimal Versus Naive Diversification: How Inefficient is the 1-N Portfolio Strategy?," The Review of Financial Studies, Society for Financial Studies, vol. 22(5), pages 1915-1953, May.
    2. 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.
    3. Scaillet, Olivier & Topaloglou, Nikolas, 2010. "Testing for Stochastic Dominance Efficiency," Journal of Business & Economic Statistics, American Statistical Association, vol. 28(1), pages 169-180.
    4. Thierry Post, 2003. "Empirical Tests for Stochastic Dominance Efficiency," Journal of Finance, American Finance Association, vol. 58(5), pages 1905-1931, October.
    5. Lizyayev, Andrey & Ruszczyński, Andrzej, 2012. "Tractable Almost Stochastic Dominance," European Journal of Operational Research, Elsevier, vol. 218(2), pages 448-455.
    6. Russell Davidson & Jean-Yves Duclos, 2000. "Statistical Inference for Stochastic Dominance and for the Measurement of Poverty and Inequality," Econometrica, Econometric Society, vol. 68(6), pages 1435-1464, November.
    7. Snorre Lindset, 2004. "Relative Guarantees," The Geneva Risk and Insurance Review, Palgrave Macmillan;International Association for the Study of Insurance Economics (The Geneva Association), vol. 29(2), pages 187-209, December.
    8. Hamza Bahaji, 2014. "Equity portfolio insurance against a benchmark: Setting, replication and optimality," Post-Print hal-01455395, HAL.
    9. Ben Ameur, H. & Prigent, J.L., 2014. "Portfolio insurance: Gap risk under conditional multiples," European Journal of Operational Research, Elsevier, vol. 236(1), pages 238-253.
    10. Moshe Leshno & Haim Levy, 2002. "Preferred by "All" and Preferred by "Most" Decision Makers: Almost Stochastic Dominance," Management Science, INFORMS, vol. 48(8), pages 1074-1085, August.
    11. Zieling, Daniel & Mahayni, Antje & Balder, Sven, 2014. "Performance evaluation of optimized portfolio insurance strategies," Journal of Banking & Finance, Elsevier, vol. 43(C), pages 212-225.
    12. Oliver Linton & Esfandiar Maasoumi & Yoon-Jae Whang, 2005. "Consistent Testing for Stochastic Dominance under General Sampling Schemes," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 72(3), pages 735-765.
    13. Bahaji, Hamza, 2014. "Equity portfolio insurance against a benchmark: Setting, replication and optimality," Economic Modelling, Elsevier, vol. 40(C), pages 382-391.
    14. Garry F. Barrett & Stephen G. Donald, 2003. "Consistent Tests for Stochastic Dominance," Econometrica, Econometric Society, vol. 71(1), pages 71-104, January.
    15. Thierry Post, 2003. "Empirical Tests for Stochastic Dominance Efficiency," Journal of Finance, American Finance Association, vol. 58(5), pages 1905-1932, October.
    16. Hubert Dichtl & Wolfgang Drobetz & Martin Wambach, 2017. "A bootstrap-based comparison of portfolio insurance strategies," The European Journal of Finance, Taylor & Francis Journals, vol. 23(1), pages 31-59, January.
    17. R. Korn & C. Lindberg, 2014. "Portfolio optimization for an investor with a benchmark," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 37(2), pages 373-384, October.
    18. Philippe Bertrand & Jean-Luc Prigent, 2005. "Portfolio Insurance Strategies: OBPI versus CPPI," Post-Print hal-01833077, HAL.
    19. 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.
    20. Stefan Macovschi & François Quittard-Pinon, 2006. "On the Pricing of Power and Other Polynomial Options," Post-Print hal-02313166, HAL.
    21. repec:dau:papers:123456789/12325 is not listed on IDEAS
    22. Margrabe, William, 1978. "The Value of an Option to Exchange One Asset for Another," Journal of Finance, American Finance Association, vol. 33(1), pages 177-186, March.
    23. Haim Shalit & Shlomo Yitzhaki, 1994. "Marginal Conditional Stochastic Dominance," Management Science, INFORMS, vol. 40(5), pages 670-684, May.
    24. 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.
    25. Scherer, Bernd, 2011. "A note on the returns from minimum variance investing," Journal of Empirical Finance, Elsevier, vol. 18(4), pages 652-660, September.
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