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Static Hedging with Traffic Light Options

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  • Michael Schmutz
  • Thomas Zürcher

Abstract

It is well known that sufficiently regular, one‐dimensional payoff functions have an explicit static hedge by bonds, forward contracts, and options in a continuum of strikes. An easy and natural extension of the corresponding representation leads to static hedges based on the same instruments along with traffic light options, which have recently been introduced in the market. It is well known that the second strike derivative of non‐discounted prices of vanilla options is related to the risk‐neutral density of the underlying asset price in the corresponding absolutely continuous settings. Similar statements hold for traffic light options in sufficiently regular, bivariate settings. © 2013 Wiley Periodicals, Inc. Jrl Fut Mark 34:690–702, 2014

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  • Michael Schmutz & Thomas Zürcher, 2014. "Static Hedging with Traffic Light Options," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 34(7), pages 690-702, July.
    • Handle: RePEc:wly:jfutmk:v:34:y:2014:i:7:p:690-702
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    References listed on IDEAS

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    1. David C. Nachman, 1988. "Spanning and Completeness with Options," The Review of Financial Studies, Society for Financial Studies, vol. 1(3), pages 311-328.
    2. Ernst Eberlein & Kathrin Glau & Antonis Papapantoleon, 2010. "Analysis of Fourier Transform Valuation Formulas and Applications," Applied Mathematical Finance, Taylor & Francis Journals, vol. 17(3), pages 211-240.
    3. Breeden, Douglas T & Litzenberger, Robert H, 1978. "Prices of State-contingent Claims Implicit in Option Prices," The Journal of Business, University of Chicago Press, vol. 51(4), pages 621-651, October.
    4. Thomas Kokholm, 2009. "Pricing Of Traffic Light Options And Other Hybrid Products," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 12(05), pages 687-707.
    5. Jorgensen, Peter Lochte, 2007. "Traffic light options," Journal of Banking & Finance, Elsevier, vol. 31(12), pages 3698-3719, December.
    6. Stephen A. Ross, 1976. "Options and Efficiency," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 90(1), pages 75-89.
    7. Jan Baldeaux & Marek Rutkowski, 2010. "Static Replication of Forward-Start Claims and Realized Variance Swaps," Applied Mathematical Finance, Taylor & Francis Journals, vol. 17(2), pages 99-131.
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