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Quantile hedging

Author

Listed:
  • Föllmer, Hans
  • Leukert, Peter

Abstract

In a complete financial market every contingent claim can be hedged perfectly. In an incomplete market it is possible to stay on the safe side by superhedging. But such strategies may require a large amount of initial capital. Here we study the question what an investor can do who is unwilling to spend that much, and who is ready to use a hedging strategy which succeeds with high probability.

Suggested Citation

  • Föllmer, Hans & Leukert, Peter, 1998. "Quantile hedging," SFB 373 Discussion Papers 1998,13, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
    • Handle: RePEc:zbw:sfb373:199813
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    File URL: https://www.econstor.eu/bitstream/10419/61297/1/721138101.pdf
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    Citations

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    Cited by:

    1. Gourieroux, C. & Laurent, J. P. & Scaillet, O., 2000. "Sensitivity analysis of Values at Risk," Journal of Empirical Finance, Elsevier, vol. 7(3-4), pages 225-245, November.
    2. Siu, Tak Kuen & Yang, Hailiang, 1999. "Subjective risk measures: Bayesian predictive scenarios analysis," Insurance: Mathematics and Economics, Elsevier, vol. 25(2), pages 157-169, November.

    More about this item

    Keywords

    Hedging; superhedging; Neyman Pearson lemma; stochastic volatility; value at risk;
    All these keywords.

    JEL classification:

    • G10 - Financial Economics - - General Financial Markets - - - General (includes Measurement and Data)
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty

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