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Static hedging and model risk for barrier options

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  • Morten Nalholm
  • Rolf Poulsen

Abstract

The article investigates how sensitive different dynamic and static hedge strategies for barrier options are to model risk. It is found that using plain‐vanilla options to hedge offers considerable improvements over usual Δ hedges. Further, it is shown that the hedge portfolios involving options are relatively more sensitive to model risk, but that the degree of misspecification sensitivity is robust across commonly used models. © 2006 Wiley Periodicals, Inc. Jrl Fut Mark 26:449–463, 2006

Suggested Citation

  • Morten Nalholm & Rolf Poulsen, 2006. "Static hedging and model risk for barrier options," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 26(5), pages 449-463, May.
    • Handle: RePEc:wly:jfutmk:v:26:y:2006:i:5:p:449-463
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    Cited by:

    1. Dirk Becherer & Ian Ward, 2010. "Optimal Weak Static Hedging of Equity and Credit Risk Using Derivatives," Applied Mathematical Finance, Taylor & Francis Journals, vol. 17(1), pages 1-28.
    2. Lee, Hangsuck & Ko, Bangwon & Lee, Minha, 2023. "The pricing and static hedging of multi-step double barrier options," Finance Research Letters, Elsevier, vol. 55(PA).
    3. Lee, Hangsuck & Choi, Yang Ho & Lee, Gaeun, 2022. "Multi-step barrier products and static hedging," The North American Journal of Economics and Finance, Elsevier, vol. 61(C).
    4. Yunbi An & Wulin Suo, 2009. "An Empirical Comparison of Option‐Pricing Models in Hedging Exotic Options," Financial Management, Financial Management Association International, vol. 38(4), pages 889-914, December.
    5. Coqueret, Guillaume & Tavin, Bertrand, 2016. "An investigation of model risk in a market with jumps and stochastic volatility," European Journal of Operational Research, Elsevier, vol. 253(3), pages 648-658.
    6. Ilya Molchanov & Michael Schmutz, 2009. "Exchangeability type properties of asset prices," Papers 0901.4914, arXiv.org, revised Apr 2011.
    7. Frido Rolloos & Kenichiro Shiraya, 2024. "A model‐free approximation for barrier options in a general stochastic volatility framework," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 44(6), pages 923-935, June.
    8. Svetlana Boyarchenko & Sergei Levendorskiĭ, 2020. "Static and semistatic hedging as contrarian or conformist bets," Mathematical Finance, Wiley Blackwell, vol. 30(3), pages 921-960, July.
    9. Philipp Mayer & Natalie Packham & Wolfgang Schmidt, 2015. "Static hedging under maturity mismatch," Finance and Stochastics, Springer, vol. 19(3), pages 509-539, July.
    10. Jan Maruhn & Morten Nalholm & Matthias Fengler, 2011. "Static hedges for reverse barrier options with robustness against skew risk: an empirical analysis," Quantitative Finance, Taylor & Francis Journals, vol. 11(5), pages 711-727.
    11. Baller, Stefanie & Entrop, Oliver & McKenzie, Michael & Wilkens, Marco, 2016. "Market makers’ optimal price-setting policy for exchange-traded certificates," Journal of Banking & Finance, Elsevier, vol. 71(C), pages 206-226.
    12. Baule, Rainer & Shkel, David, 2021. "Model risk and model choice in the case of barrier options and bonus certificates," Journal of Banking & Finance, Elsevier, vol. 133(C).
    13. Detering, Nils & Packham, Natalie, 2018. "Model risk of contingent claims," IRTG 1792 Discussion Papers 2018-036, Humboldt University of Berlin, International Research Training Group 1792 "High Dimensional Nonstationary Time Series".
    14. Hansjörg Albrecher & Philipp Mayer, 2010. "Semi-Static Hedging Strategies For Exotic Options," World Scientific Book Chapters, in: Rüdiger Kiesel & Matthias Scherer & Rudi Zagst (ed.), Alternative Investments And Strategies, chapter 14, pages 345-373, World Scientific Publishing Co. Pte. Ltd..

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