Hedging strategies with a put option and their failure rates
The problem of stock hedging is reconsidered in this paper, where a put option is chosen from a set of available put options to hedge the market risk of a stock. A formula is proposed to determine the probability that the potential loss exceeds a predetermined level of Value-at-Risk, which is used to find the optimal strike price and optimal hedge ratio. The assumptions that the chosen put option finishes in-the-money and the constraint of hedging budget is binding are relaxed in this paper. A hypothesis test is proposed to determine whether the failure rate of hedging strategy is greater than the predetermined level of risk. The performances of the proposed method and the method with those two assumptions are compared through simulations. The results of simulated investigations indicate that the proposed method is much more prudent than the method with those two assumptions.
References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Isabelle Huault & V. Perret & S. Charreire-Petit, 2007. "Management," Post-Print halshs-00337676, HAL.
- Andrew K. Prevost & Lawrence C. Rose & Gary Miller, 2000. "Derivatives Usage and Financial Risk Management in Large and Small Economies: A Comparative Analysis," Journal of Business Finance & Accounting, Wiley Blackwell, vol. 27(5&6), pages 733-759.
- Philippe Artzner & Freddy Delbaen & Jean-Marc Eber & David Heath, 1999. "Coherent Measures of Risk," Mathematical Finance, Wiley Blackwell, vol. 9(3), pages 203-228.
- Söhnke M. Bartram & Gregory W. Brown & Frank R. Fehle, 2009.
"International Evidence on Financial Derivatives Usage,"
Financial Management Association International, vol. 38(1), pages 185-206, 03.
- Sohnke M. Bartram & Gregory W. Brown & Frank R. Fehle, 2003. "International Evidence on Financial Derivatives Usage," Finance 0307003, EconWPA, revised 24 Jul 2003.
- Carlo Acerbi & Dirk Tasche, 2002. "Expected Shortfall: A Natural Coherent Alternative to Value at Risk," Economic Notes, Banca Monte dei Paschi di Siena SpA, vol. 31(2), pages 379-388, 07.
- Griselda Deelstra & Michèle Vanmaele & David Vyncke, 2010. "Minimizing the Risk of a Financial Product Using a Put Option," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 77(4), pages 767-800.
- J. Annaert & G. Deelstra & D. Heyman & M. Vanmaele, 2007.
"Risk management of a bond portfolio using options,"
Working Papers of Faculty of Economics and Business Administration, Ghent University, Belgium
07/465, Ghent University, Faculty of Economics and Business Administration.
- Carlo Acerbi & Dirk Tasche, 2001. "Expected Shortfall: a natural coherent alternative to Value at Risk," Papers cond-mat/0105191, arXiv.org.
- Rockafellar, R. Tyrrell & Uryasev, Stanislav, 2002. "Conditional value-at-risk for general loss distributions," Journal of Banking & Finance, Elsevier, vol. 26(7), pages 1443-1471, July.
- René M. Stulz, 1996. "Rethinking Risk Management," Journal of Applied Corporate Finance, Morgan Stanley, vol. 9(3), pages 8-25.
- Dong-Hyun Ahn & Jacob Boudoukh & Matthew Richardson & Robert F. Whitelaw, 1999. "Optimal Risk Management Using Options," Journal of Finance, American Finance Association, vol. 54(1), pages 359-375, 02.
When requesting a correction, please mention this item's handle: RePEc:arx:papers:1110.0159. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (arXiv administrators)
If references are entirely missing, you can add them using this form.