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Static Hedging of Barrier Options under General Asset Dynamics: Unification and Application

Author

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  • Morten Nalholm

    (Department of Applied Mathematics and Statistics, Institute for Mathematical Sciences, University of Copenhagen)

Abstract

A new method for static hedging of barrier options under general asset dynamics is introduced. The method unifies previous approaches and nests their extensions. Using a finite set of hedge instruments the method is directly implementable and it is shown how to operationalize the hedge in a jump-diffusion model with correlated stochastic volatility. The performance of the hedge is thoroughly studied and generic sources of hedge errors are addressed.

Suggested Citation

  • Morten Nalholm, 2005. "Static Hedging of Barrier Options under General Asset Dynamics: Unification and Application," FRU Working Papers 2005/08, University of Copenhagen. Department of Economics. Finance Research Unit.
  • Handle: RePEc:kud:kuiefr:200508
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    References listed on IDEAS

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    1. BAUWENS, Luc & VEREDAS, David, 1999. "The stochastic conditional duration model: a latent factor model for the analysis of financial durations," CORE Discussion Papers 1999058, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    2. Thierry Foucault, 1999. "Order flow composition and trading costs in a dynamic limit order market," Post-Print hal-00459769, HAL.
    3. BAUWENS, Luc & HAUTSCH, Nikolaus, 2003. "Dynamic latent factor models for intensity processes," CORE Discussion Papers 2003103, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    4. Robert F. Engle & Jeffrey R. Russell, 1998. "Autoregressive Conditional Duration: A New Model for Irregularly Spaced Transaction Data," Econometrica, Econometric Society, vol. 66(5), pages 1127-1162, September.
    5. Bowsher, Clive G., 2007. "Modelling security market events in continuous time: Intensity based, multivariate point process models," Journal of Econometrics, Elsevier, pages 876-912.
    6. Alfonso Dufour & Robert F Engle, 2000. "The ACD Model: Predictability of the Time Between Concecutive Trades," ICMA Centre Discussion Papers in Finance icma-dp2000-05, Henley Business School, Reading University.
    7. Biais, Bruno & Hillion, Pierre & Spatt, Chester, 1995. " An Empirical Analysis of the Limit Order Book and the Order Flow in the Paris Bourse," Journal of Finance, American Finance Association, vol. 50(5), pages 1655-1689, December.
    8. Handa, Puneet & Schwartz, Robert A, 1996. " Limit Order Trading," Journal of Finance, American Finance Association, vol. 51(5), pages 1835-1861, December.
    9. Seppi, Duane J, 1997. "Liquidity Provision with Limit Orders and a Strategic Specialist," Review of Financial Studies, Society for Financial Studies, pages 103-150.
    10. Bowsher, Clive G., 2007. "Modelling security market events in continuous time: Intensity based, multivariate point process models," Journal of Econometrics, Elsevier, pages 876-912.
    11. repec:adr:anecst:y:2000:i:60 is not listed on IDEAS
    12. Anthony D. Hall & Nikolaus Hautsch, 2004. "A Continuous-Time Measurement of the Buy-Sell Pressure in a Limit Order Book Market," FRU Working Papers 2004/03, University of Copenhagen. Department of Economics. Finance Research Unit.
    13. Zhang, Michael Yuanjie & Russell, Jeffrey R. & Tsay, Ruey S., 2001. "A nonlinear autoregressive conditional duration model with applications to financial transaction data," Journal of Econometrics, Elsevier, pages 179-207.
    14. Ranaldo, Angelo, 2004. "Order aggressiveness in limit order book markets," Journal of Financial Markets, Elsevier, vol. 7(1), pages 53-74, January.
    15. Christophe Bisière & Thierry Kamionka, 2000. "Timing of Orders, Order Aggressiveness and the Order Book at the Paris Bourse," Annals of Economics and Statistics, GENES, pages 43-72.
    16. Cohen, Kalman J, et al, 1981. "Transaction Costs, Order Placement Strategy, and Existence of the Bid-Ask Spread," Journal of Political Economy, University of Chicago Press, vol. 89(2), pages 287-305, April.
    17. Foucault, Thierry, 1999. "Order flow composition and trading costs in a dynamic limit order market1," Journal of Financial Markets, Elsevier, vol. 2(2), pages 99-134, May.
    18. Glosten, Lawrence R, 1994. " Is the Electronic Open Limit Order Book Inevitable?," Journal of Finance, American Finance Association, vol. 49(4), pages 1127-1161, September.
    19. Hollifield, Burton & Miller, Robert A. & Sandås, Patrik & Slive, Joshua, 2002. "Liquidity Supply and Demand in Limit Order Markets," CEPR Discussion Papers 3676, C.E.P.R. Discussion Papers.
    20. repec:adr:anecst:y:2000:i:60:p:03 is not listed on IDEAS
    21. Harris, Lawrence & Hasbrouck, Joel, 1996. "Market vs. Limit Orders: The SuperDOT Evidence on Order Submission Strategy," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 31(02), pages 213-231, June.
    22. PASCUAL, Roberto & VEREDAS, David, 2004. "What pieces of limit order book information are informative ?," CORE Discussion Papers 2004033, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    23. Joachim Grammig & Kai-Oliver Maurer, 2000. "Non-monotonic hazard functions and the autoregressive conditional duration model," Econometrics Journal, Royal Economic Society, vol. 3(1), pages 16-38.
    24. Handa, Puneet & Schwartz, Robert & Tiwari, Ashish, 2003. "Quote setting and price formation in an order driven market," Journal of Financial Markets, Elsevier, vol. 6(4), pages 461-489, August.
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