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Zur Theorie des Value at Risk-minimalen Hedges

Author

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  • Peter Albrecht

    (Universität Mannheim)

Abstract

Zusammenfassung Der vorliegende Beitrag befasst sich mit der Bestimmung der optimalen Hedge Ratio auf der Basis von Future-Kontrakten unter Zugrundelegung der Forderung, dass der Value at Risk der Hedge-Position minimiert werden soll. Unter Verwendung von Ergebnissen im Kontext von Quantilableitungen gelingt hier zunächst die Bestimmung einer allgemeinen strukturellen Lösung. Unter Ausnutzung der Eigenschaften von elliptischen Verteilungen gelingt darüber hinaus eine explizite Bestimmung der optimalen Hedge Ratio und damit eine systematische Verallgemeinerung der in der Literatur entwickelten korrespondierenden Lösung für den Normalverteilungsfall.

Suggested Citation

  • Peter Albrecht, 2011. "Zur Theorie des Value at Risk-minimalen Hedges," Schmalenbach Journal of Business Research, Springer, vol. 63(1), pages 2-18, February.
    • Handle: RePEc:spr:sjobre:v:63:y:2011:i:1:d:10.1007_bf03372842
    DOI: 10.1007/BF03372842
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    References listed on IDEAS

    as
    1. Jui-Cheng Hung & Chien-Liang Chiu & Ming-Chih Lee, 2006. "Hedging with zero-value at risk hedge ratio," Applied Financial Economics, Taylor & Francis Journals, vol. 16(3), pages 259-269.
    2. 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.
    3. Leland L. Johnson, 1960. "The Theory of Hedging and Speculation in Commodity Futures," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 27(3), pages 139-151.
    4. Bauer, Christian, 2000. "Value at risk using hyperbolic distributions," Journal of Economics and Business, Elsevier, vol. 52(5), pages 455-467.
    5. Chen, Sheng-Syan & Lee, Cheng-few & Shrestha, Keshab, 2003. "Futures hedge ratios: a review," The Quarterly Review of Economics and Finance, Elsevier, vol. 43(3), pages 433-465.
    6. R. Cont, 2001. "Empirical properties of asset returns: stylized facts and statistical issues," Quantitative Finance, Taylor & Francis Journals, vol. 1(2), pages 223-236.
    7. Rafael Schmidt, 2002. "Tail dependence for elliptically contoured distributions," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 55(2), pages 301-327, May.
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    More about this item

    Keywords

    G11; G 32;

    JEL classification:

    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions

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