IDEAS home Printed from https://ideas.repec.org/a/wsi/ijtafx/v23y2020i02ns0219024920500119.html
   My bibliography  Save this article

Multiplier Optimization For Constant Proportion Portfolio Insurance (Cppi) Strategy

Author

Listed:
  • OLGA BIEDOVA

    (Department of Mathematical Sciences, Bentley University, 175 Forest Street, Waltham, MA 02452, USA)

  • VICTORIA STEBLOVSKAYA

    () (Department of Mathematical Sciences, Bentley University, 175 Forest Street, Waltham, MA 02452, USA)

Abstract

Constant proportion portfolio insurance (CPPI) strategy is a very popular investment solution which provides an investor with a capital protection as well as allows for an equity market participation. In this paper, we propose a two-step approach to the numerical optimization of the CPPI main parameter, multiplier. First, we identify an admissible range of the multiplier values by controlling the shortfall probability (chosen as a measure of the gap risk). Second, within the admissible range, we choose the optimal multiplier value with respect to the omega ratio (chosen as a performance measure). We illustrate the performance of our optimization algorithm on simulated CPPI paths in the Black–Scholes environment with discrete trading as well as on the historical S&P500 data using the block-bootstrap simulations.

Suggested Citation

  • Olga Biedova & Victoria Steblovskaya, 2020. "Multiplier Optimization For Constant Proportion Portfolio Insurance (Cppi) Strategy," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 23(02), pages 1-22, March.
    • Handle: RePEc:wsi:ijtafx:v:23:y:2020:i:02:n:s0219024920500119
    DOI: 10.1142/S0219024920500119
    as

    Download full text from publisher

    File URL: https://www.worldscientific.com/doi/abs/10.1142/S0219024920500119
    Download Restriction: Access to full text is restricted to subscribers
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Hamidi, Benjamin & Maillet, Bertrand & Prigent, Jean-Luc, 2014. "A dynamic autoregressive expectile for time-invariant portfolio protection strategies," Journal of Economic Dynamics and Control, Elsevier, vol. 46(C), pages 1-29.
    2. 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.
    3. Ledoit, Oliver & Wolf, Michael, 2008. "Robust performance hypothesis testing with the Sharpe ratio," Journal of Empirical Finance, Elsevier, vol. 15(5), pages 850-859, December.
    4. Huai-I. Lee & Min-Hsien Chiang & Hsinan Hsu, 2008. "A new choice of dynamic asset management: the variable proportion portfolio insurance," Applied Economics, Taylor & Francis Journals, vol. 40(16), pages 2135-2146.
    5. 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.
    6. Bertrand, Philippe & Prigent, Jean-luc, 2011. "Omega performance measure and portfolio insurance," Journal of Banking & Finance, Elsevier, vol. 35(7), pages 1811-1823, July.
    7. Rudi Zagst & Julia Kraus, 2011. "Stochastic dominance of portfolio insurance strategies," Annals of Operations Research, Springer, vol. 185(1), pages 75-103, May.
    8. 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.
    9. 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.
    10. Philippe Bertrand & Jean-Luc Prigent, 2005. "Portfolio Insurance Strategies: OBPI versus CPPI," Post-Print hal-01833077, HAL.
    11. 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.
    12. Jean-Luc Prigent & Philippe Bertrand, 2011. "Omega performance measure and portfolio insurance," Post-Print hal-01833064, HAL.
    13. Zhang, Tao & Zhou, Hongfeng & Li, Larry & Gu, Feng, 2015. "Optimal rebalance rules for the constant proportion portfolio insurance strategy – Evidence from China," Economic Systems, Elsevier, vol. 39(3), pages 413-422.
    14. Akgiray, Vedat, 1989. "Conditional Heteroscedasticity in Time Series of Stock Returns: Evidence and Forecasts," The Journal of Business, University of Chicago Press, vol. 62(1), pages 55-80, January.
    15. Pézier, Jacques & Scheller, Johanna, 2013. "Best portfolio insurance for long-term investment strategies in realistic conditions," Insurance: Mathematics and Economics, Elsevier, vol. 52(2), pages 263-274.
    16. Poterba, James M. & Summers, Lawrence H., 1988. "Mean reversion in stock prices : Evidence and Implications," Journal of Financial Economics, Elsevier, vol. 22(1), pages 27-59, October.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Sami Attaoui & Vincent Lacoste, 2013. "A scenario-based description of optimal American capital guaranteed strategies," Post-Print hal-00867667, HAL.
    2. Sami Attaoui & Vincent Lacoste, 2013. "A scenario-based description of optimal American capital guaranteed strategies," Finance, Presses universitaires de Grenoble, vol. 34(2), pages 65-119.
    3. Raquel M. Gaspar, 2016. "On Path–dependency of Constant Proportion Portfolio Insurance strategies," EcoMod2016 9381, EcoMod.
    4. 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.
    5. Zhang, Tao & Zhou, Hongfeng & Li, Larry & Gu, Feng, 2015. "Optimal rebalance rules for the constant proportion portfolio insurance strategy – Evidence from China," Economic Systems, Elsevier, vol. 39(3), pages 413-422.
    6. David Happersberger & Harald Lohre & Ingmar Nolte, 2020. "Estimating portfolio risk for tail risk protection strategies," European Financial Management, European Financial Management Association, vol. 26(4), pages 1107-1146, September.
    7. Jiang, Chonghui & Ma, Yongkai & An, Yunbi, 2009. "The effectiveness of the VaR-based portfolio insurance strategy: An empirical analysis," International Review of Financial Analysis, Elsevier, vol. 18(4), pages 185-197, September.
    8. L. Di Persio & I. Oliva. K. Wallbaum, 2019. "Options on CPPI with guaranteed minimum equity exposure," Papers 1902.06505, arXiv.org.
    9. Hamidi, Benjamin & Maillet, Bertrand & Prigent, Jean-Luc, 2014. "A dynamic autoregressive expectile for time-invariant portfolio protection strategies," Journal of Economic Dynamics and Control, Elsevier, vol. 46(C), pages 1-29.
    10. 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.
    11. Farid MKAOUAR & Jean-luc PRIGENT, 2014. "Constant Proportion Portfolio Insurance under Tolerance and Transaction Costs," Working Papers 2014-303, Department of Research, Ipag Business School.
    12. Tawil, Dima, 2018. "Risk-adjusted performance of portfolio insurance and investors’ preferences," Finance Research Letters, Elsevier, vol. 24(C), pages 10-18.
    13. Raquel M. Gaspar & Paulo M. Silva, 2019. "Investors’ Perspective on Portfolio InsuranceExpected Utility vs Prospect Theories," Working Papers REM 2019/92, ISEG - Lisbon School of Economics and Management, REM, Universidade de Lisboa.
    14. Jacques Pézier & Johanna Scheller, 2011. "A Comprehensive Evaluation of Portfolio Insurance Strategies," ICMA Centre Discussion Papers in Finance icma-dp2011-15, Henley Business School, Reading University.
    15. Dichtl, Hubert & Drobetz, Wolfgang, 2011. "Portfolio insurance and prospect theory investors: Popularity and optimal design of capital protected financial products," Journal of Banking & Finance, Elsevier, vol. 35(7), pages 1683-1697, July.
    16. Christian Hertrich, 2013. "Asset Allocation Considerations for Pension Insurance Funds," Springer Books, Springer, edition 127, number 978-3-658-02167-2, April.
    17. Mahayni, Antje & Schneider, Judith C., 2012. "Variable annuities and the option to seek risk: Why should you diversify?," Journal of Banking & Finance, Elsevier, vol. 36(9), pages 2417-2428.
    18. Caporin, Massimiliano & Costola, Michele & Jannin, Gregory & Maillet, Bertrand, 2018. "“On the (Ab)use of Omega?”," Journal of Empirical Finance, Elsevier, vol. 46(C), pages 11-33.
    19. Bertrand, Philippe & Prigent, Jean-luc, 2011. "Omega performance measure and portfolio insurance," Journal of Banking & Finance, Elsevier, vol. 35(7), pages 1811-1823, July.
    20. Zagst, Rudi & Kraus, Julia & Bertrand, Philippe, 2019. "Option-Based performance participation," Journal of Banking & Finance, Elsevier, vol. 105(C), pages 44-61.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:wsi:ijtafx:v:23:y:2020:i:02:n:s0219024920500119. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Tai Tone Lim). General contact details of provider: http://www.worldscinet.com/ijtaf/ijtaf.shtml .

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.