1 of the 'cushion', the difference between the current portfolio value and the guaranteed amount. In diffusion models with continuous trading, this strategy has no downside risk, whereas in real markets this risk is non-negligible and grows with the multiplier value. We study the behavior of CPPI strategies in models where the price of the underlying portfolio may experience downward jumps. This allows to quantify the 'gap risk' of the portfolio while maintaining the analytical tractability of the continuous--time framework. We establish a direct relation between the value of the multiplier m and the risk of the insured portfolio, which allows to choose the multiplier based on the risk tolerance of the investor, and provide a Fourier transform method for computing the distribution of losses and various risk measures (VaR, expected loss, probability of loss) over a given time horizon. The results are applied to a jump-diffusion model with parameters estimated from market data.">
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Constant Proportion Portfolio Insurance in presence of Jumps in Asset Prices

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Cited by:

  1. Dupret, Jean-Loup & Hainaut, Donatien, 2021. "Portfolio insurance under rough volatility and Volterra processes," LIDAM Discussion Papers ISBA 2021026, Université catholique de Louvain, Institute of Statistics, Biostatistics and Actuarial Sciences (ISBA).
  2. Raquel M. Gaspar, 2016. "On Path–dependency of Constant Proportion Portfolio Insurance strategies," EcoMod2016 9381, EcoMod.
  3. Tim Bollerslev & Viktor Todorov, 2011. "Tails, Fears, and Risk Premia," Journal of Finance, American Finance Association, vol. 66(6), pages 2165-2211, December.
  4. Ine Marquet & Wim Schoutens, 2018. "CONIC CPPIs," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 21(02), pages 1-20, March.
  5. 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.
  6. 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.
  7. Alexander Schied, 2013. "Model-free CPPI," Papers 1305.5915, arXiv.org, revised Jan 2014.
  8. Chris Kenyon & Andrew Green, 2016. "Option-Based Pricing of Wrong Way Risk for CVA," Papers 1609.00819, arXiv.org, revised Oct 2021.
  9. 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.
  10. Weng, Chengguo, 2013. "Constant proportion portfolio insurance under a regime switching exponential Lévy process," Insurance: Mathematics and Economics, Elsevier, vol. 52(3), pages 508-521.
  11. Hasan A. Fallahgoul & Young S. Kim & Frank J. Fabozzi & Jiho Park, 2019. "Quanto Option Pricing with Lévy Models," Computational Economics, Springer;Society for Computational Economics, vol. 53(3), pages 1279-1308, March.
  12. Louis Paulot & Xavier Lacroze, 2009. "One-Dimensional Pricing of CPPI," Papers 0905.2926, arXiv.org, revised Feb 2010.
  13. Branger, Nicole & Mahayni, Antje & Schneider, Judith C., 2010. "On the optimal design of insurance contracts with guarantees," Insurance: Mathematics and Economics, Elsevier, vol. 46(3), pages 485-492, June.
  14. Xavier Warin, 2016. "The Asset Liability Management problem of a nuclear operator : a numerical stochastic optimization approach," Papers 1611.04877, arXiv.org.
  15. Katia Colaneri & Daniele Mancinelli & Immacolata Oliva, 2024. "On the optimal design of a new class of proportional portfolio insurance strategies in a jump-diffusion framework," Papers 2407.21148, arXiv.org.
  16. 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.
  17. 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.
  18. Marcos Escobar-Anel & Andreas Lichtenstern & Rudi Zagst, 2020. "Behavioral portfolio insurance strategies," Financial Markets and Portfolio Management, Springer;Swiss Society for Financial Market Research, vol. 34(4), pages 353-399, December.
  19. Peyman Alipour & Ali Foroush Bastani, 2023. "Value-at-Risk-Based Portfolio Insurance: Performance Evaluation and Benchmarking Against CPPI in a Markov-Modulated Regime-Switching Market," Papers 2305.12539, arXiv.org.
  20. De Franco, Carmine & Tankov, Peter, 2011. "Portfolio insurance under a risk-measure constraint," Insurance: Mathematics and Economics, Elsevier, vol. 49(3), pages 361-370.
  21. Louis Paulot & Xavier Lacroze, 2009. "Efficient Pricing of CPPI using Markov Operators," Papers 0901.1218, arXiv.org.
  22. Schied, Alexander, 2014. "Model-free CPPI," Journal of Economic Dynamics and Control, Elsevier, vol. 40(C), pages 84-94.
  23. Dorn, Jochen, 2010. "Modeling of CPDOs - Identifying optimal and implied leverage," Journal of Banking & Finance, Elsevier, vol. 34(6), pages 1371-1382, June.
  24. Alexandre Hocquard & Nicolas Papageorgiou & Bruno Remillard, 2015. "The payoff distribution model: an application to dynamic portfolio insurance," Quantitative Finance, Taylor & Francis Journals, vol. 15(2), pages 299-312, February.
  25. Juho Kanniainen & Ye Yue, 2019. "The Arrival of News and Return Jumps in Stock Markets: A Nonparametric Approach," Papers 1901.02691, arXiv.org.
  26. Killian Pluzanski & Jean-Luc Prigent, 2023. "Risk management of margin based portfolio strategies for dynamic portfolio insurance with minimum market exposure," THEMA Working Papers 2023-22, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
  27. 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.
  28. Bahaji, Hamza, 2014. "Equity portfolio insurance against a benchmark: Setting, replication and optimality," Economic Modelling, Elsevier, vol. 40(C), pages 382-391.
  29. Mostafa Zandieh & Seyed Omid Mohaddesi, 2018. "Portfolio Rebalancing under Uncertainty Using Meta-heuristic Algorithm," Papers 1812.07635, arXiv.org.
  30. 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.
  31. Jacques Pézier & Johanna Scheller, 2011. "A Comprehensive Evaluation of Portfolio Insurance Strategies," ICMA Centre Discussion Papers in Finance icma-dp2011-15, Henley Business School, University of Reading.
  32. Busra Zeynep Temocin & Ralf Korn & A. Sevtap Selcuk-Kestel, 2018. "Constant proportion portfolio insurance in defined contribution pension plan management under discrete-time trading," Annals of Operations Research, Springer, vol. 260(1), pages 515-544, January.
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